0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n080.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 17:22:24 CST 2018
0.00/0.39	% done 226 iterations in 0.190s
0.00/0.39	% SZS status Theorem for 'stdin'
0.00/0.39	% SZS output start Refutation
0.00/0.39	tff(zf_stmt_6, conjecture,
0.00/0.39	  (![Xh1:app_encode_fun(g,b),Xh2:app_encode_fun(b,a),
0.00/0.39	     Xs1:app_encode_fun(g,$o),Xf1:app_encode_fun(g,app_encode_fun(g,g)),
0.00/0.39	     Xs2:app_encode_fun(b,$o),Xf2:app_encode_fun(b,app_encode_fun(b,b)),
0.00/0.39	     Xs3:app_encode_fun(a,$o),Xf3:app_encode_fun(a,app_encode_fun(a,a))]:
0.00/0.39	     ((~
0.00/0.39	        ((![Xx:g,Xy:g]:
0.00/0.39	            ((app_encode_app(g,$o,Xs1,Xx) & app_encode_app(g,$o,Xs1,Xy)) =>
0.00/0.39	             app_encode_app(g,$o,Xs1,
0.00/0.39	                            app_encode_app(g,g,
0.00/0.39	                                           app_encode_app(g,
0.00/0.39	                                                          app_encode_fun(g,g),
0.00/0.39	                                                          Xf1,Xx),
0.00/0.39	                                           Xy)))) & 
0.00/0.39	         (![Xx:a,Xy:a]:
0.00/0.39	            ((app_encode_app(a,$o,Xs3,Xx) & app_encode_app(a,$o,Xs3,Xy)) =>
0.00/0.39	             app_encode_app(a,$o,Xs3,
0.00/0.39	                            app_encode_app(a,a,
0.00/0.39	                                           app_encode_app(a,
0.00/0.39	                                                          app_encode_fun(a,a),
0.00/0.39	                                                          Xf3,Xx),
0.00/0.39	                                           Xy)))) & 
0.00/0.39	         (![Xx:g]:
0.00/0.39	            (app_encode_app(g,$o,Xs1,Xx) =>
0.00/0.39	             app_encode_app(a,$o,Xs3,
0.00/0.39	                            app_encode_app(b,a,Xh2,app_encode_app(g,b,Xh1,Xx))))) & 
0.00/0.39	         (![Xx:g,Xy:g]:
0.00/0.39	            ((app_encode_app(g,$o,Xs1,Xx) & app_encode_app(g,$o,Xs1,Xy)) =>
0.00/0.39	             (app_encode_app(b,a,Xh2,
0.00/0.39	                             app_encode_app(g,b,Xh1,
0.00/0.39	                                            app_encode_app(g,g,
0.00/0.39	                                                           app_encode_app(
0.00/0.39	                                                           g,
0.00/0.39	                                                           app_encode_fun(
0.00/0.39	                                                           g,g),Xf1,Xx),Xy))) =
0.00/0.39	              app_encode_app(a,a,
0.00/0.39	                             app_encode_app(a,app_encode_fun(a,a),Xf3,
0.00/0.39	                                            app_encode_app(b,a,Xh2,
0.00/0.39	                                                           app_encode_app(
0.00/0.39	                                                           g,b,Xh1,Xx))),
0.00/0.39	                             app_encode_app(b,a,Xh2,
0.00/0.39	                                            app_encode_app(g,b,Xh1,Xy)))))))) =>
0.00/0.39	      (~
0.00/0.39	        ((![Xx:g,Xy:g]:
0.00/0.39	            ((app_encode_app(g,$o,Xs1,Xx) & app_encode_app(g,$o,Xs1,Xy)) =>
0.00/0.39	             app_encode_app(g,$o,Xs1,
0.00/0.39	                            app_encode_app(g,g,
0.00/0.39	                                           app_encode_app(g,
0.00/0.39	                                                          app_encode_fun(g,g),
0.00/0.39	                                                          Xf1,Xx),
0.00/0.39	                                           Xy)))) & 
0.00/0.39	         (![Xx:b,Xy:b]:
0.00/0.39	            ((app_encode_app(b,$o,Xs2,Xx) & app_encode_app(b,$o,Xs2,Xy)) =>
0.00/0.39	             app_encode_app(b,$o,Xs2,
0.00/0.39	                            app_encode_app(b,b,
0.00/0.39	                                           app_encode_app(b,
0.00/0.39	                                                          app_encode_fun(b,b),
0.00/0.39	                                                          Xf2,Xx),
0.00/0.39	                                           Xy)))) & 
0.00/0.39	         (![Xx:g]:
0.00/0.39	            (app_encode_app(g,$o,Xs1,Xx) =>
0.00/0.39	             app_encode_app(b,$o,Xs2,app_encode_app(g,b,Xh1,Xx)))) & 
0.00/0.39	         (![Xx:g,Xy:g]:
0.00/0.39	            ((app_encode_app(g,$o,Xs1,Xx) & app_encode_app(g,$o,Xs1,Xy)) =>
0.00/0.39	             (app_encode_app(g,b,Xh1,
0.00/0.39	                             app_encode_app(g,g,
0.00/0.39	                                            app_encode_app(g,
0.00/0.39	                                                           app_encode_fun(
0.00/0.39	                                                           g,g),Xf1,Xx),
0.00/0.39	                                            Xy)) =
0.00/0.39	              app_encode_app(b,b,
0.00/0.39	                             app_encode_app(b,app_encode_fun(b,b),Xf2,
0.00/0.39	                                            app_encode_app(g,b,Xh1,Xx)),
0.00/0.39	                             app_encode_app(g,b,Xh1,Xy))))) & 
0.00/0.39	         (![Xx:b,Xy:b]:
0.00/0.39	            ((app_encode_app(b,$o,Xs2,Xx) & app_encode_app(b,$o,Xs2,Xy)) =>
0.00/0.39	             app_encode_app(b,$o,Xs2,
0.00/0.39	                            app_encode_app(b,b,
0.00/0.39	                                           app_encode_app(b,
0.00/0.39	                                                          app_encode_fun(b,b),
0.00/0.39	                                                          Xf2,Xx),
0.00/0.39	                                           Xy)))) & 
0.00/0.39	         (![Xx:a,Xy:a]:
0.00/0.39	            ((app_encode_app(a,$o,Xs3,Xx) & app_encode_app(a,$o,Xs3,Xy)) =>
0.00/0.39	             app_encode_app(a,$o,Xs3,
0.00/0.39	                            app_encode_app(a,a,
0.00/0.39	                                           app_encode_app(a,
0.00/0.39	                                                          app_encode_fun(a,a),
0.00/0.39	                                                          Xf3,Xx),
0.00/0.39	                                           Xy)))) & 
0.00/0.39	         (![Xx:b]:
0.00/0.39	            (app_encode_app(b,$o,Xs2,Xx) =>
0.00/0.39	             app_encode_app(a,$o,Xs3,app_encode_app(b,a,Xh2,Xx)))) & 
0.00/0.39	         (![Xx:b,Xy:b]:
0.00/0.39	            ((app_encode_app(b,$o,Xs2,Xx) & app_encode_app(b,$o,Xs2,Xy)) =>
0.00/0.39	             (app_encode_app(b,a,Xh2,
0.00/0.39	                             app_encode_app(b,b,
0.00/0.39	                                            app_encode_app(b,
0.00/0.39	                                                           app_encode_fun(
0.00/0.39	                                                           b,b),Xf2,Xx),
0.00/0.39	                                            Xy)) =
0.00/0.39	              app_encode_app(a,a,
0.00/0.39	                             app_encode_app(a,app_encode_fun(a,a),Xf3,
0.00/0.39	                                            app_encode_app(b,a,Xh2,Xx)),
0.00/0.39	                             app_encode_app(b,a,Xh2,Xy)))))))))).
0.00/0.39	tff(zf_stmt_0, negated_conjecture,
0.00/0.39	  (~
0.00/0.39	    (![Xh1:app_encode_fun(g,b),Xh2:app_encode_fun(b,a),
0.00/0.39	       Xs1:app_encode_fun(g,$o),Xf1:app_encode_fun(g,app_encode_fun(g,g)),
0.00/0.39	       Xs2:app_encode_fun(b,$o),Xf2:app_encode_fun(b,app_encode_fun(b,b)),
0.00/0.39	       Xs3:app_encode_fun(a,$o),Xf3:app_encode_fun(a,app_encode_fun(a,a))]:
0.00/0.39	       ((~
0.00/0.39	          ((![Xx:g,Xy:g]:
0.00/0.39	              ((app_encode_app(g,$o,Xs1,Xx) & app_encode_app(g,$o,Xs1,Xy)) =>
0.00/0.39	               app_encode_app(g,$o,Xs1,
0.00/0.39	                              app_encode_app(g,g,
0.00/0.39	                                             app_encode_app(g,
0.00/0.39	                                                            app_encode_fun(
0.00/0.39	                                                            g,g),Xf1,Xx),
0.00/0.39	                                             Xy)))) & 
0.00/0.39	           (![Xx:a,Xy:a]:
0.00/0.39	              ((app_encode_app(a,$o,Xs3,Xx) & app_encode_app(a,$o,Xs3,Xy)) =>
0.00/0.39	               app_encode_app(a,$o,Xs3,
0.00/0.39	                              app_encode_app(a,a,
0.00/0.39	                                             app_encode_app(a,
0.00/0.39	                                                            app_encode_fun(
0.00/0.39	                                                            a,a),Xf3,Xx),
0.00/0.39	                                             Xy)))) & 
0.00/0.39	           (![Xx:g]:
0.00/0.39	              (app_encode_app(g,$o,Xs1,Xx) =>
0.00/0.39	               app_encode_app(a,$o,Xs3,
0.00/0.39	                              app_encode_app(b,a,Xh2,
0.00/0.39	                                             app_encode_app(g,b,Xh1,Xx))))) & 
0.00/0.39	           (![Xx:g,Xy:g]:
0.00/0.39	              ((app_encode_app(g,$o,Xs1,Xx) & app_encode_app(g,$o,Xs1,Xy)) =>
0.00/0.39	               (app_encode_app(b,a,Xh2,
0.00/0.39	                               app_encode_app(g,b,Xh1,
0.00/0.39	                                              app_encode_app(g,g,
0.00/0.39	                                                             app_encode_app(
0.00/0.39	                                                             g,
0.00/0.39	                                                             app_encode_fun(
0.00/0.39	                                                             g,g),Xf1,Xx),Xy))) =
0.00/0.39	                app_encode_app(a,a,
0.00/0.39	                               app_encode_app(a,app_encode_fun(a,a),Xf3,
0.00/0.39	                                              app_encode_app(b,a,Xh2,
0.00/0.39	                                                             app_encode_app(
0.00/0.39	                                                             g,b,Xh1,Xx))),
0.00/0.39	                               app_encode_app(b,a,Xh2,
0.00/0.39	                                              app_encode_app(g,b,Xh1,Xy)))))))) =>
0.00/0.39	        (~
0.00/0.39	          ((![Xx:g,Xy:g]:
0.00/0.39	              ((app_encode_app(g,$o,Xs1,Xx) & app_encode_app(g,$o,Xs1,Xy)) =>
0.00/0.39	               app_encode_app(g,$o,Xs1,
0.00/0.39	                              app_encode_app(g,g,
0.00/0.39	                                             app_encode_app(g,
0.00/0.39	                                                            app_encode_fun(
0.00/0.39	                                                            g,g),Xf1,Xx),
0.00/0.39	                                             Xy)))) & 
0.00/0.39	           (![Xx:b,Xy:b]:
0.00/0.39	              ((app_encode_app(b,$o,Xs2,Xx) & app_encode_app(b,$o,Xs2,Xy)) =>
0.00/0.39	               app_encode_app(b,$o,Xs2,
0.00/0.39	                              app_encode_app(b,b,
0.00/0.39	                                             app_encode_app(b,
0.00/0.39	                                                            app_encode_fun(
0.00/0.39	                                                            b,b),Xf2,Xx),
0.00/0.39	                                             Xy)))) & 
0.00/0.39	           (![Xx:g]:
0.00/0.39	              (app_encode_app(g,$o,Xs1,Xx) =>
0.00/0.39	               app_encode_app(b,$o,Xs2,app_encode_app(g,b,Xh1,Xx)))) & 
0.00/0.39	           (![Xx:g,Xy:g]:
0.00/0.39	              ((app_encode_app(g,$o,Xs1,Xx) & app_encode_app(g,$o,Xs1,Xy)) =>
0.00/0.39	               (app_encode_app(g,b,Xh1,
0.00/0.39	                               app_encode_app(g,g,
0.00/0.39	                                              app_encode_app(g,
0.00/0.39	                                                             app_encode_fun(
0.00/0.39	                                                             g,g),Xf1,Xx),
0.00/0.39	                                              Xy)) =
0.00/0.39	                app_encode_app(b,b,
0.00/0.39	                               app_encode_app(b,app_encode_fun(b,b),Xf2,
0.00/0.39	                                              app_encode_app(g,b,Xh1,Xx)),
0.00/0.39	                               app_encode_app(g,b,Xh1,Xy))))) & 
0.00/0.39	           (![Xx:b,Xy:b]:
0.00/0.39	              ((app_encode_app(b,$o,Xs2,Xx) & app_encode_app(b,$o,Xs2,Xy)) =>
0.00/0.39	               app_encode_app(b,$o,Xs2,
0.00/0.39	                              app_encode_app(b,b,
0.00/0.39	                                             app_encode_app(b,
0.00/0.39	                                                            app_encode_fun(
0.00/0.39	                                                            b,b),Xf2,Xx),
0.00/0.39	                                             Xy)))) & 
0.00/0.39	           (![Xx:a,Xy:a]:
0.00/0.39	              ((app_encode_app(a,$o,Xs3,Xx) & app_encode_app(a,$o,Xs3,Xy)) =>
0.00/0.39	               app_encode_app(a,$o,Xs3,
0.00/0.39	                              app_encode_app(a,a,
0.00/0.39	                                             app_encode_app(a,
0.00/0.39	                                                            app_encode_fun(
0.00/0.39	                                                            a,a),Xf3,Xx),
0.00/0.39	                                             Xy)))) & 
0.00/0.39	           (![Xx:b]:
0.00/0.39	              (app_encode_app(b,$o,Xs2,Xx) =>
0.00/0.39	               app_encode_app(a,$o,Xs3,app_encode_app(b,a,Xh2,Xx)))) & 
0.00/0.39	           (![Xx:b,Xy:b]:
0.00/0.39	              ((app_encode_app(b,$o,Xs2,Xx) & app_encode_app(b,$o,Xs2,Xy)) =>
0.00/0.39	               (app_encode_app(b,a,Xh2,
0.00/0.39	                               app_encode_app(b,b,
0.00/0.39	                                              app_encode_app(b,
0.00/0.39	                                                             app_encode_fun(
0.00/0.39	                                                             b,b),Xf2,Xx),
0.00/0.39	                                              Xy)) =
0.00/0.39	                app_encode_app(a,a,
0.00/0.39	                               app_encode_app(a,app_encode_fun(a,a),Xf3,
0.00/0.39	                                              app_encode_app(b,a,Xh2,Xx)),
0.00/0.39	                               app_encode_app(b,a,Xh2,Xy))))))))))).
0.00/0.39	tff('0', plain,
0.00/0.39	    ![X12 : g]:
0.00/0.39	      (app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, X12))
0.00/0.39	       | ~ app_encode_app(g, $o, sk_Xs1, X12)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('1', plain,
0.00/0.39	    ![X17 : b]:
0.00/0.39	      (app_encode_app(a, $o, sk_Xs3, app_encode_app(b, a, sk_Xh2, X17))
0.00/0.39	       | ~ app_encode_app(b, $o, sk_Xs2, X17)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('2', plain,
0.00/0.39	    ![X8 : g, X9 : g]:
0.00/0.39	      (~ app_encode_app(g, $o, sk_Xs1, X8)
0.00/0.39	       | ~ app_encode_app(g, $o, sk_Xs1, X9)
0.00/0.39	       | app_encode_app(g, $o, sk_Xs1, 
0.00/0.39	           app_encode_app(g, g, 
0.00/0.39	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, X8), X9))),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('3', plain,
0.00/0.39	    ![X6 : a, X7 : a]:
0.00/0.39	      (~ app_encode_app(a, $o, sk_Xs3, X6)
0.00/0.39	       | ~ app_encode_app(a, $o, sk_Xs3, X7)
0.00/0.39	       | app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(a, a, 
0.00/0.39	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, X6), X7))),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('4', plain,
0.00/0.39	    ![X13 : g, X14 : g]:
0.00/0.39	      (~ app_encode_app(g, $o, sk_Xs1, X13)
0.00/0.39	       | ~ app_encode_app(g, $o, sk_Xs1, X14)
0.00/0.39	       | app_encode_app(g, b, sk_Xh1, 
0.00/0.39	           app_encode_app(g, g, 
0.00/0.39	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, X13), X14))
0.00/0.39	          = app_encode_app(b, b, 
0.00/0.39	              app_encode_app(b, app_encode_fun(b, b), sk_Xf2, 
0.00/0.39	                app_encode_app(g, b, sk_Xh1, X13)), 
0.00/0.39	              app_encode_app(g, b, sk_Xh1, X14))),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('5', plain,
0.00/0.39	    ![X4 : b, X5 : b]:
0.00/0.39	      (~ app_encode_app(b, $o, sk_Xs2, X4)
0.00/0.39	       | ~ app_encode_app(b, $o, sk_Xs2, X5)
0.00/0.39	       | app_encode_app(b, a, sk_Xh2, 
0.00/0.39	           app_encode_app(b, b, 
0.00/0.39	             app_encode_app(b, app_encode_fun(b, b), sk_Xf2, X4), X5))
0.00/0.39	          = app_encode_app(a, a, 
0.00/0.39	              app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.00/0.39	                app_encode_app(b, a, sk_Xh2, X4)), 
0.00/0.39	              app_encode_app(b, a, sk_Xh2, X5))),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('6', plain,
0.00/0.39	    (~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.39	         app_encode_app(g, g, 
0.00/0.39	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(a, a, 
0.00/0.39	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | app_encode_app(b, a, sk_Xh2, 
0.00/0.39	         app_encode_app(g, b, sk_Xh1, 
0.00/0.39	           app_encode_app(g, g, 
0.00/0.39	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.39	        != app_encode_app(a, a, 
0.00/0.39	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.00/0.39	               app_encode_app(b, a, sk_Xh2, 
0.00/0.39	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.00/0.39	             app_encode_app(b, a, sk_Xh2, 
0.00/0.39	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('7', plain,
0.00/0.39	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.39	       app_encode_app(g, b, sk_Xh1, 
0.00/0.39	         app_encode_app(g, g, 
0.00/0.39	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.39	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.39	           app_encode_app(b, b, 
0.00/0.39	             app_encode_app(b, app_encode_fun(b, b), sk_Xf2, 
0.00/0.39	               app_encode_app(g, b, sk_Xh1, sk_Xx3)), 
0.00/0.39	             app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.00/0.39	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.39	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(a, a, 
0.00/0.39	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.39	           app_encode_app(g, g, 
0.00/0.39	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.00/0.39	    inference('sup-', [status(thm)], ['5', '6'])).
0.00/0.39	tff('8', plain,
0.00/0.39	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.39	       app_encode_app(g, b, sk_Xh1, 
0.00/0.39	         app_encode_app(g, g, 
0.00/0.39	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.39	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.39	           app_encode_app(g, b, sk_Xh1, 
0.00/0.39	             app_encode_app(g, g, 
0.00/0.39	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.39	               sk_Xy2)))
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.39	           app_encode_app(g, g, 
0.00/0.39	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(a, a, 
0.00/0.39	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.39	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.39	    inference('sup-', [status(thm)], ['4', '7'])).
0.00/0.39	tff('9', plain,
0.00/0.39	    (~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.39	         app_encode_app(g, g, 
0.00/0.39	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(a, a, 
0.00/0.39	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('10', plain,
0.00/0.39	    (~ $true
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.39	           app_encode_app(g, g, 
0.00/0.39	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.00/0.39	    inference('sup-', [status(thm)], ['3', '9'])).
0.00/0.39	tff('11', plain,
0.00/0.39	    (~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.39	         app_encode_app(g, g, 
0.00/0.39	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.39	    inference('simplify', [status(thm)], ['10'])).
0.00/0.39	tff('12', plain,
0.00/0.39	    (~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.39	         app_encode_app(g, g, 
0.00/0.39	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('13', plain,
0.00/0.39	    (~ $true
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.39	    inference('sup-', [status(thm)], ['2', '12'])).
0.00/0.39	tff('14', plain,
0.00/0.39	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.39	    inference('simplify', [status(thm)], ['13'])).
0.00/0.39	tff('15', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(a, a, 
0.00/0.39	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('16', plain,
0.00/0.39	    (~ $true
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.39	    inference('sup-', [status(thm)], ['3', '15'])).
0.00/0.39	tff('17', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.39	    inference('simplify', [status(thm)], ['16'])).
0.00/0.39	tff('18', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('19', plain,
0.00/0.39	    (~ $true
0.00/0.39	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.39	    inference('sup-', [status(thm)], ['1', '18'])).
0.00/0.39	tff('20', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.39	    inference('simplify', [status(thm)], ['19'])).
0.00/0.39	tff('21', plain,
0.00/0.39	    (~ $true
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.39	    inference('sup-', [status(thm)], ['0', '20'])).
0.00/0.39	tff('22', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.39	    inference('simplify', [status(thm)], ['21'])).
0.00/0.39	tff('23', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('24', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.39	    inference('clc', [status(thm)], ['22', '23'])).
0.00/0.39	tff('25', plain,
0.00/0.39	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.39	    inference('clc', [status(thm)], ['17', '24'])).
0.00/0.39	tff('26', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('27', plain,
0.00/0.39	    (~ $true
0.00/0.39	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.39	    inference('sup-', [status(thm)], ['1', '26'])).
0.00/0.39	tff('28', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.39	    inference('simplify', [status(thm)], ['27'])).
0.00/0.39	tff('29', plain,
0.00/0.39	    (~ $true
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.39	    inference('sup-', [status(thm)], ['0', '28'])).
0.00/0.39	tff('30', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.39	    inference('simplify', [status(thm)], ['29'])).
0.00/0.39	tff('31', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('32', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.39	    inference('clc', [status(thm)], ['30', '31'])).
0.00/0.39	tff('33', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.39	    inference('clc', [status(thm)], ['25', '32'])).
0.00/0.39	tff('34', plain,
0.00/0.39	    (~ $true
0.00/0.39	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.39	    inference('sup-', [status(thm)], ['1', '33'])).
0.00/0.39	tff('35', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.39	    inference('simplify', [status(thm)], ['34'])).
0.00/0.39	tff('36', plain,
0.00/0.39	    (~ $true
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.39	    inference('sup-', [status(thm)], ['0', '35'])).
0.00/0.39	tff('37', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.39	    inference('simplify', [status(thm)], ['36'])).
0.00/0.39	tff('38', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(a, a, 
0.00/0.39	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('39', plain,
0.00/0.39	    (~ $true
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.39	    inference('sup-', [status(thm)], ['3', '38'])).
0.00/0.39	tff('40', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.39	    inference('simplify', [status(thm)], ['39'])).
0.00/0.39	tff('41', plain,
0.00/0.39	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.39	    inference('clc', [status(thm)], ['40', '24'])).
0.00/0.39	tff('42', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.39	    inference('clc', [status(thm)], ['41', '32'])).
0.00/0.39	tff('43', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.39	    inference('clc', [status(thm)], ['37', '42'])).
0.00/0.39	tff('44', plain,
0.00/0.39	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.39	    inference('clc', [status(thm)], ['14', '43'])).
0.00/0.39	tff('45', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(a, a, 
0.00/0.39	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('46', plain,
0.00/0.39	    (~ $true
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.39	    inference('sup-', [status(thm)], ['3', '45'])).
0.00/0.39	tff('47', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.39	    inference('simplify', [status(thm)], ['46'])).
0.00/0.39	tff('48', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('49', plain,
0.00/0.39	    (~ $true
0.00/0.39	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.39	    inference('sup-', [status(thm)], ['1', '48'])).
0.00/0.39	tff('50', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.39	    inference('simplify', [status(thm)], ['49'])).
0.00/0.39	tff('51', plain,
0.00/0.39	    (~ $true
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.39	    inference('sup-', [status(thm)], ['0', '50'])).
0.00/0.39	tff('52', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.39	    inference('simplify', [status(thm)], ['51'])).
0.00/0.39	tff('53', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('54', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.39	    inference('clc', [status(thm)], ['52', '53'])).
0.00/0.39	tff('55', plain,
0.00/0.39	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.39	    inference('clc', [status(thm)], ['47', '54'])).
0.00/0.39	tff('56', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('57', plain,
0.00/0.39	    (~ $true
0.00/0.39	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.39	    inference('sup-', [status(thm)], ['1', '56'])).
0.00/0.39	tff('58', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.39	    inference('simplify', [status(thm)], ['57'])).
0.00/0.39	tff('59', plain,
0.00/0.39	    (~ $true
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.39	    inference('sup-', [status(thm)], ['0', '58'])).
0.00/0.39	tff('60', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.39	    inference('simplify', [status(thm)], ['59'])).
0.00/0.39	tff('61', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('62', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.39	    inference('clc', [status(thm)], ['60', '61'])).
0.00/0.39	tff('63', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.39	    inference('clc', [status(thm)], ['55', '62'])).
0.00/0.39	tff('64', plain,
0.00/0.39	    (~ $true
0.00/0.39	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.39	    inference('sup-', [status(thm)], ['1', '63'])).
0.00/0.39	tff('65', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.39	    inference('simplify', [status(thm)], ['64'])).
0.00/0.39	tff('66', plain,
0.00/0.39	    (~ $true
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.39	    inference('sup-', [status(thm)], ['0', '65'])).
0.00/0.39	tff('67', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.39	    inference('simplify', [status(thm)], ['66'])).
0.00/0.39	tff('68', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(a, a, 
0.00/0.39	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('69', plain,
0.00/0.39	    (~ $true
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.39	    inference('sup-', [status(thm)], ['3', '68'])).
0.00/0.39	tff('70', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.39	    inference('simplify', [status(thm)], ['69'])).
0.00/0.39	tff('71', plain,
0.00/0.39	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.39	    inference('clc', [status(thm)], ['70', '54'])).
0.00/0.39	tff('72', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.39	    inference('clc', [status(thm)], ['71', '62'])).
0.00/0.39	tff('73', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.39	    inference('clc', [status(thm)], ['67', '72'])).
0.00/0.39	tff('74', plain,
0.00/0.39	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.39	    inference('clc', [status(thm)], ['44', '73'])).
0.00/0.39	tff('75', plain,
0.00/0.39	    (~ $true
0.00/0.39	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.39	    inference('sup-', [status(thm)], ['1', '74'])).
0.00/0.39	tff('76', plain,
0.00/0.39	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.39	    inference('simplify', [status(thm)], ['75'])).
0.00/0.39	tff('77', plain,
0.00/0.39	    (~ $true
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.39	    inference('sup-', [status(thm)], ['0', '76'])).
0.00/0.39	tff('78', plain,
0.00/0.39	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.39	    inference('simplify', [status(thm)], ['77'])).
0.00/0.39	tff('79', plain,
0.00/0.39	    (~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.39	         app_encode_app(g, g, 
0.00/0.39	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('80', plain,
0.00/0.39	    (~ $true
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.39	    inference('sup-', [status(thm)], ['2', '79'])).
0.00/0.39	tff('81', plain,
0.00/0.39	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.39	    inference('simplify', [status(thm)], ['80'])).
0.00/0.39	tff('82', plain,
0.00/0.39	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.39	    inference('clc', [status(thm)], ['81', '24'])).
0.00/0.39	tff('83', plain,
0.00/0.39	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.39	    inference('clc', [status(thm)], ['82', '54'])).
0.00/0.39	tff('84', plain,
0.00/0.39	    (app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.39	    inference('clc', [status(thm)], ['78', '83'])).
0.00/0.39	tff('85', plain,
0.00/0.39	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.39	           app_encode_app(g, g, 
0.00/0.39	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.00/0.39	    inference('clc', [status(thm)], ['11', '84'])).
0.00/0.39	tff('86', plain,
0.00/0.39	    (~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.39	         app_encode_app(g, g, 
0.00/0.39	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('87', plain,
0.00/0.39	    (~ $true
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.39	    inference('sup-', [status(thm)], ['2', '86'])).
0.00/0.39	tff('88', plain,
0.00/0.39	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.39	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.39	    inference('simplify', [status(thm)], ['87'])).
0.00/0.39	tff('89', plain,
0.00/0.39	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.39	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.39	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.39	    inference('clc', [status(thm)], ['88', '43'])).
0.00/0.39	tff('90', plain,
0.00/0.39	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.39	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.39	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.40	    inference('clc', [status(thm)], ['89', '73'])).
0.00/0.40	tff('91', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.40	    inference('sup-', [status(thm)], ['1', '90'])).
0.00/0.40	tff('92', plain,
0.00/0.40	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.40	    inference('simplify', [status(thm)], ['91'])).
0.00/0.40	tff('93', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '92'])).
0.00/0.40	tff('94', plain,
0.00/0.40	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.40	    inference('simplify', [status(thm)], ['93'])).
0.00/0.40	tff('95', plain,
0.00/0.40	    (~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('96', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.40	    inference('sup-', [status(thm)], ['2', '95'])).
0.00/0.40	tff('97', plain,
0.00/0.40	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('simplify', [status(thm)], ['96'])).
0.00/0.40	tff('98', plain,
0.00/0.40	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.40	    inference('clc', [status(thm)], ['97', '32'])).
0.00/0.40	tff('99', plain,
0.00/0.40	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.40	    inference('clc', [status(thm)], ['98', '62'])).
0.00/0.40	tff('100', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.40	    inference('clc', [status(thm)], ['94', '99'])).
0.00/0.40	tff('101', plain,
0.00/0.40	    (~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.40	    inference('clc', [status(thm)], ['85', '100'])).
0.00/0.40	tff('102', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.00/0.40	    inference('sup-', [status(thm)], ['2', '101'])).
0.00/0.40	tff('103', plain,
0.00/0.40	    (~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	         app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('simplify', [status(thm)], ['102'])).
0.00/0.40	tff('104', plain,
0.00/0.40	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.00/0.40	    inference('clc', [status(thm)], ['103', '43'])).
0.00/0.40	tff('105', plain,
0.00/0.40	    (~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	         app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.40	    inference('clc', [status(thm)], ['104', '73'])).
0.00/0.40	tff('106', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.40	    inference('sup-', [status(thm)], ['1', '105'])).
0.00/0.40	tff('107', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.40	    inference('simplify', [status(thm)], ['106'])).
0.00/0.40	tff('108', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '107'])).
0.00/0.40	tff('109', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.40	    inference('simplify', [status(thm)], ['108'])).
0.00/0.40	tff('110', plain,
0.00/0.40	    (~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('111', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	           app_encode_app(g, g, 
0.00/0.40	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.00/0.40	    inference('sup-', [status(thm)], ['3', '110'])).
0.00/0.40	tff('112', plain,
0.00/0.40	    (~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.40	    inference('simplify', [status(thm)], ['111'])).
0.00/0.40	tff('113', plain,
0.00/0.40	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	           app_encode_app(g, g, 
0.00/0.40	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.00/0.40	    inference('clc', [status(thm)], ['112', '84'])).
0.00/0.40	tff('114', plain,
0.00/0.40	    (~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.40	    inference('clc', [status(thm)], ['113', '100'])).
0.00/0.40	tff('115', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.40	    inference('sup-', [status(thm)], ['2', '114'])).
0.00/0.40	tff('116', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('simplify', [status(thm)], ['115'])).
0.00/0.40	tff('117', plain,
0.00/0.40	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.40	    inference('clc', [status(thm)], ['116', '43'])).
0.00/0.40	tff('118', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.00/0.40	    inference('clc', [status(thm)], ['117', '73'])).
0.00/0.40	tff('119', plain, app_encode_app(g, $o, sk_Xs1, sk_Xy2),
0.00/0.40	    inference('clc', [status(thm)], ['109', '118'])).
0.00/0.40	tff('120', plain,
0.00/0.40	    (~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('121', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	           app_encode_app(g, g, 
0.00/0.40	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.00/0.40	    inference('sup-', [status(thm)], ['3', '120'])).
0.00/0.40	tff('122', plain,
0.00/0.40	    (~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.40	    inference('simplify', [status(thm)], ['121'])).
0.00/0.40	tff('123', plain,
0.00/0.40	    (~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('124', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.40	    inference('sup-', [status(thm)], ['2', '123'])).
0.00/0.40	tff('125', plain,
0.00/0.40	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('simplify', [status(thm)], ['124'])).
0.00/0.40	tff('126', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('127', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.40	    inference('sup-', [status(thm)], ['3', '126'])).
0.00/0.40	tff('128', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.40	    inference('simplify', [status(thm)], ['127'])).
0.00/0.40	tff('129', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('130', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.40	    inference('sup-', [status(thm)], ['1', '129'])).
0.00/0.40	tff('131', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.40	    inference('simplify', [status(thm)], ['130'])).
0.00/0.40	tff('132', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '131'])).
0.00/0.40	tff('133', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.40	    inference('simplify', [status(thm)], ['132'])).
0.00/0.40	tff('134', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('135', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.40	    inference('clc', [status(thm)], ['133', '134'])).
0.00/0.40	tff('136', plain,
0.00/0.40	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.40	    inference('clc', [status(thm)], ['128', '135'])).
0.00/0.40	tff('137', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('138', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.40	    inference('sup-', [status(thm)], ['1', '137'])).
0.00/0.40	tff('139', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.40	    inference('simplify', [status(thm)], ['138'])).
0.00/0.40	tff('140', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '139'])).
0.00/0.40	tff('141', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.40	    inference('simplify', [status(thm)], ['140'])).
0.00/0.40	tff('142', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('143', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.40	    inference('clc', [status(thm)], ['141', '142'])).
0.00/0.40	tff('144', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('clc', [status(thm)], ['136', '143'])).
0.00/0.40	tff('145', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.40	    inference('sup-', [status(thm)], ['1', '144'])).
0.00/0.40	tff('146', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.40	    inference('simplify', [status(thm)], ['145'])).
0.00/0.40	tff('147', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '146'])).
0.00/0.40	tff('148', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.40	    inference('simplify', [status(thm)], ['147'])).
0.00/0.40	tff('149', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('150', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.40	    inference('sup-', [status(thm)], ['3', '149'])).
0.00/0.40	tff('151', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.40	    inference('simplify', [status(thm)], ['150'])).
0.00/0.40	tff('152', plain,
0.00/0.40	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.40	    inference('clc', [status(thm)], ['151', '135'])).
0.00/0.40	tff('153', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('clc', [status(thm)], ['152', '143'])).
0.00/0.40	tff('154', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.40	    inference('clc', [status(thm)], ['148', '153'])).
0.00/0.40	tff('155', plain,
0.00/0.40	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.40	    inference('clc', [status(thm)], ['125', '154'])).
0.00/0.40	tff('156', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('157', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('sup-', [status(thm)], ['3', '156'])).
0.00/0.40	tff('158', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.40	    inference('simplify', [status(thm)], ['157'])).
0.00/0.40	tff('159', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('160', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('sup-', [status(thm)], ['1', '159'])).
0.00/0.40	tff('161', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.40	    inference('simplify', [status(thm)], ['160'])).
0.00/0.40	tff('162', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '161'])).
0.00/0.40	tff('163', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.40	    inference('simplify', [status(thm)], ['162'])).
0.00/0.40	tff('164', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('165', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('clc', [status(thm)], ['163', '164'])).
0.00/0.40	tff('166', plain,
0.00/0.40	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('clc', [status(thm)], ['158', '165'])).
0.00/0.40	tff('167', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('168', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('sup-', [status(thm)], ['1', '167'])).
0.00/0.40	tff('169', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.40	    inference('simplify', [status(thm)], ['168'])).
0.00/0.40	tff('170', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '169'])).
0.00/0.40	tff('171', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.40	    inference('simplify', [status(thm)], ['170'])).
0.00/0.40	tff('172', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('173', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('clc', [status(thm)], ['171', '172'])).
0.00/0.40	tff('174', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('clc', [status(thm)], ['166', '173'])).
0.00/0.40	tff('175', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('sup-', [status(thm)], ['1', '174'])).
0.00/0.40	tff('176', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.40	    inference('simplify', [status(thm)], ['175'])).
0.00/0.40	tff('177', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '176'])).
0.00/0.40	tff('178', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.40	    inference('simplify', [status(thm)], ['177'])).
0.00/0.40	tff('179', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('180', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('sup-', [status(thm)], ['3', '179'])).
0.00/0.40	tff('181', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.40	    inference('simplify', [status(thm)], ['180'])).
0.00/0.40	tff('182', plain,
0.00/0.40	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('clc', [status(thm)], ['181', '165'])).
0.00/0.40	tff('183', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('clc', [status(thm)], ['182', '173'])).
0.00/0.40	tff('184', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('clc', [status(thm)], ['178', '183'])).
0.00/0.40	tff('185', plain,
0.00/0.40	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('clc', [status(thm)], ['155', '184'])).
0.00/0.40	tff('186', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.40	    inference('sup-', [status(thm)], ['1', '185'])).
0.00/0.40	tff('187', plain,
0.00/0.40	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.40	    inference('simplify', [status(thm)], ['186'])).
0.00/0.40	tff('188', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '187'])).
0.00/0.40	tff('189', plain,
0.00/0.40	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.40	    inference('simplify', [status(thm)], ['188'])).
0.00/0.40	tff('190', plain,
0.00/0.40	    (~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('191', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.40	    inference('sup-', [status(thm)], ['2', '190'])).
0.00/0.40	tff('192', plain,
0.00/0.40	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('simplify', [status(thm)], ['191'])).
0.00/0.40	tff('193', plain,
0.00/0.40	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.40	    inference('clc', [status(thm)], ['192', '135'])).
0.00/0.40	tff('194', plain,
0.00/0.40	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('clc', [status(thm)], ['193', '165'])).
0.00/0.40	tff('195', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.40	    inference('clc', [status(thm)], ['189', '194'])).
0.00/0.40	tff('196', plain,
0.00/0.40	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	           app_encode_app(g, g, 
0.00/0.40	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.00/0.40	    inference('clc', [status(thm)], ['122', '195'])).
0.00/0.40	tff('197', plain,
0.00/0.40	    (~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('198', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.40	    inference('sup-', [status(thm)], ['2', '197'])).
0.00/0.40	tff('199', plain,
0.00/0.40	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('simplify', [status(thm)], ['198'])).
0.00/0.40	tff('200', plain,
0.00/0.40	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.40	    inference('clc', [status(thm)], ['199', '154'])).
0.00/0.40	tff('201', plain,
0.00/0.40	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('clc', [status(thm)], ['200', '184'])).
0.00/0.40	tff('202', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.40	    inference('sup-', [status(thm)], ['1', '201'])).
0.00/0.40	tff('203', plain,
0.00/0.40	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.40	    inference('simplify', [status(thm)], ['202'])).
0.00/0.40	tff('204', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '203'])).
0.00/0.40	tff('205', plain,
0.00/0.40	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.40	    inference('simplify', [status(thm)], ['204'])).
0.00/0.40	tff('206', plain,
0.00/0.40	    (~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('207', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.40	    inference('sup-', [status(thm)], ['2', '206'])).
0.00/0.40	tff('208', plain,
0.00/0.40	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('simplify', [status(thm)], ['207'])).
0.00/0.40	tff('209', plain,
0.00/0.40	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.40	    inference('clc', [status(thm)], ['208', '143'])).
0.00/0.40	tff('210', plain,
0.00/0.40	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('clc', [status(thm)], ['209', '173'])).
0.00/0.40	tff('211', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.40	    inference('clc', [status(thm)], ['205', '210'])).
0.00/0.40	tff('212', plain,
0.00/0.40	    (~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('clc', [status(thm)], ['196', '211'])).
0.00/0.40	tff('213', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.00/0.40	    inference('sup-', [status(thm)], ['2', '212'])).
0.00/0.40	tff('214', plain,
0.00/0.40	    (~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	         app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('simplify', [status(thm)], ['213'])).
0.00/0.40	tff('215', plain,
0.00/0.40	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.00/0.40	    inference('clc', [status(thm)], ['214', '154'])).
0.00/0.40	tff('216', plain,
0.00/0.40	    (~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	         app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('clc', [status(thm)], ['215', '184'])).
0.00/0.40	tff('217', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('sup-', [status(thm)], ['1', '216'])).
0.00/0.40	tff('218', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.40	    inference('simplify', [status(thm)], ['217'])).
0.00/0.40	tff('219', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '218'])).
0.00/0.40	tff('220', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.40	    inference('simplify', [status(thm)], ['219'])).
0.00/0.40	tff('221', plain,
0.00/0.40	    (~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('222', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	           app_encode_app(g, g, 
0.00/0.40	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.00/0.40	    inference('sup-', [status(thm)], ['3', '221'])).
0.00/0.40	tff('223', plain,
0.00/0.40	    (~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.40	    inference('simplify', [status(thm)], ['222'])).
0.00/0.40	tff('224', plain,
0.00/0.40	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	           app_encode_app(g, g, 
0.00/0.40	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.00/0.40	    inference('clc', [status(thm)], ['223', '195'])).
0.00/0.40	tff('225', plain,
0.00/0.40	    (~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('clc', [status(thm)], ['224', '211'])).
0.00/0.40	tff('226', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.40	    inference('sup-', [status(thm)], ['2', '225'])).
0.00/0.40	tff('227', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('simplify', [status(thm)], ['226'])).
0.00/0.40	tff('228', plain,
0.00/0.40	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.40	    inference('clc', [status(thm)], ['227', '154'])).
0.00/0.40	tff('229', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.40	    inference('clc', [status(thm)], ['228', '184'])).
0.00/0.40	tff('230', plain, app_encode_app(g, $o, sk_Xs1, sk_Xx3),
0.00/0.40	    inference('clc', [status(thm)], ['220', '229'])).
0.00/0.40	tff('231', plain,
0.00/0.40	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.40	       app_encode_app(g, b, sk_Xh1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.40	           app_encode_app(g, b, sk_Xh1, 
0.00/0.40	             app_encode_app(g, g, 
0.00/0.40	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.40	               sk_Xy2)))
0.00/0.40	     | ~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	           app_encode_app(g, g, 
0.00/0.40	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('demod', [status(thm)], ['8', '119', '230'])).
0.00/0.40	tff('232', plain,
0.00/0.40	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	           app_encode_app(g, g, 
0.00/0.40	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.00/0.40	    inference('simplify', [status(thm)], ['231'])).
0.00/0.40	tff('233', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	           app_encode_app(g, g, 
0.00/0.40	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('sup-', [status(thm)], ['3', '232'])).
0.00/0.40	tff('234', plain,
0.00/0.40	    (~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(b, a, sk_Xh2, 
0.00/0.40	         app_encode_app(g, b, sk_Xh1, 
0.00/0.40	           app_encode_app(g, g, 
0.00/0.40	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	        != app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.00/0.40	               app_encode_app(b, a, sk_Xh2, 
0.00/0.40	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.00/0.40	             app_encode_app(b, a, sk_Xh2, 
0.00/0.40	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('235', plain,
0.00/0.40	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.40	       app_encode_app(g, b, sk_Xh1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.40	           app_encode_app(b, b, 
0.00/0.40	             app_encode_app(b, app_encode_fun(b, b), sk_Xf2, 
0.00/0.40	               app_encode_app(g, b, sk_Xh1, sk_Xx3)), 
0.00/0.40	             app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	           app_encode_app(g, g, 
0.00/0.40	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.00/0.40	    inference('sup-', [status(thm)], ['5', '234'])).
0.00/0.40	tff('236', plain,
0.00/0.40	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.40	       app_encode_app(g, b, sk_Xh1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.40	           app_encode_app(g, b, sk_Xh1, 
0.00/0.40	             app_encode_app(g, g, 
0.00/0.40	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.40	               sk_Xy2)))
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	           app_encode_app(g, g, 
0.00/0.40	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('sup-', [status(thm)], ['4', '235'])).
0.00/0.40	tff('237', plain,
0.00/0.40	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.40	       app_encode_app(g, b, sk_Xh1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.40	           app_encode_app(g, b, sk_Xh1, 
0.00/0.40	             app_encode_app(g, g, 
0.00/0.40	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.40	               sk_Xy2)))
0.00/0.40	     | ~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	           app_encode_app(g, g, 
0.00/0.40	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('demod', [status(thm)], ['236', '119', '230'])).
0.00/0.40	tff('238', plain,
0.00/0.40	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.40	           app_encode_app(g, g, 
0.00/0.40	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.00/0.40	    inference('simplify', [status(thm)], ['237'])).
0.00/0.40	tff('239', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('sup-', [status(thm)], ['2', '238'])).
0.00/0.40	tff('240', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(b, a, sk_Xh2, 
0.00/0.40	         app_encode_app(g, b, sk_Xh1, 
0.00/0.40	           app_encode_app(g, g, 
0.00/0.40	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	        != app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.00/0.40	               app_encode_app(b, a, sk_Xh2, 
0.00/0.40	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.00/0.40	             app_encode_app(b, a, sk_Xh2, 
0.00/0.40	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('241', plain,
0.00/0.40	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.40	       app_encode_app(g, b, sk_Xh1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.40	           app_encode_app(b, b, 
0.00/0.40	             app_encode_app(b, app_encode_fun(b, b), sk_Xf2, 
0.00/0.40	               app_encode_app(g, b, sk_Xh1, sk_Xx3)), 
0.00/0.40	             app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('sup-', [status(thm)], ['5', '240'])).
0.00/0.40	tff('242', plain,
0.00/0.40	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.40	       app_encode_app(g, b, sk_Xh1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.40	           app_encode_app(g, b, sk_Xh1, 
0.00/0.40	             app_encode_app(g, g, 
0.00/0.40	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.40	               sk_Xy2)))
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('sup-', [status(thm)], ['4', '241'])).
0.00/0.40	tff('243', plain,
0.00/0.40	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.40	       app_encode_app(g, b, sk_Xh1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.40	           app_encode_app(g, b, sk_Xh1, 
0.00/0.40	             app_encode_app(g, g, 
0.00/0.40	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.40	               sk_Xy2)))
0.00/0.40	     | ~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('demod', [status(thm)], ['242', '119', '230'])).
0.00/0.40	tff('244', plain,
0.00/0.40	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('simplify', [status(thm)], ['243'])).
0.00/0.40	tff('245', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('sup-', [status(thm)], ['3', '244'])).
0.00/0.40	tff('246', plain,
0.00/0.40	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.40	    inference('simplify', [status(thm)], ['245'])).
0.00/0.40	tff('247', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(b, a, sk_Xh2, 
0.00/0.40	         app_encode_app(g, b, sk_Xh1, 
0.00/0.40	           app_encode_app(g, g, 
0.00/0.40	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	        != app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.00/0.40	               app_encode_app(b, a, sk_Xh2, 
0.00/0.40	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.00/0.40	             app_encode_app(b, a, sk_Xh2, 
0.00/0.40	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('248', plain,
0.00/0.40	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.40	       app_encode_app(g, b, sk_Xh1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.40	           app_encode_app(b, b, 
0.00/0.40	             app_encode_app(b, app_encode_fun(b, b), sk_Xf2, 
0.00/0.40	               app_encode_app(g, b, sk_Xh1, sk_Xx3)), 
0.00/0.40	             app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('sup-', [status(thm)], ['5', '247'])).
0.00/0.40	tff('249', plain,
0.00/0.40	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.40	       app_encode_app(g, b, sk_Xh1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.40	           app_encode_app(g, b, sk_Xh1, 
0.00/0.40	             app_encode_app(g, g, 
0.00/0.40	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.40	               sk_Xy2)))
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('sup-', [status(thm)], ['4', '248'])).
0.00/0.40	tff('250', plain,
0.00/0.40	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.40	       app_encode_app(g, b, sk_Xh1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.40	           app_encode_app(g, b, sk_Xh1, 
0.00/0.40	             app_encode_app(g, g, 
0.00/0.40	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.40	               sk_Xy2)))
0.00/0.40	     | ~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('demod', [status(thm)], ['249', '119', '230'])).
0.00/0.40	tff('251', plain,
0.00/0.40	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('simplify', [status(thm)], ['250'])).
0.00/0.40	tff('252', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('sup-', [status(thm)], ['1', '251'])).
0.00/0.40	tff('253', plain,
0.00/0.40	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.40	    inference('simplify', [status(thm)], ['252'])).
0.00/0.40	tff('254', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '253'])).
0.00/0.40	tff('255', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.40	    inference('demod', [status(thm)], ['254', '119'])).
0.00/0.40	tff('256', plain,
0.00/0.40	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.40	    inference('simplify', [status(thm)], ['255'])).
0.00/0.40	tff('257', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '256'])).
0.00/0.40	tff('258', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.40	    inference('demod', [status(thm)], ['257', '230'])).
0.00/0.40	tff('259', plain,
0.00/0.40	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.40	    inference('simplify', [status(thm)], ['258'])).
0.00/0.40	tff('260', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '259'])).
0.00/0.40	tff('261', plain,
0.00/0.40	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.40	    inference('simplify', [status(thm)], ['260'])).
0.00/0.40	tff('262', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(b, a, sk_Xh2, 
0.00/0.40	         app_encode_app(g, b, sk_Xh1, 
0.00/0.40	           app_encode_app(g, g, 
0.00/0.40	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	        != app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.00/0.40	               app_encode_app(b, a, sk_Xh2, 
0.00/0.40	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.00/0.40	             app_encode_app(b, a, sk_Xh2, 
0.00/0.40	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('263', plain,
0.00/0.40	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.40	       app_encode_app(g, b, sk_Xh1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.40	           app_encode_app(b, b, 
0.00/0.40	             app_encode_app(b, app_encode_fun(b, b), sk_Xf2, 
0.00/0.40	               app_encode_app(g, b, sk_Xh1, sk_Xx3)), 
0.00/0.40	             app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('sup-', [status(thm)], ['5', '262'])).
0.00/0.40	tff('264', plain,
0.00/0.40	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.40	       app_encode_app(g, b, sk_Xh1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.40	           app_encode_app(g, b, sk_Xh1, 
0.00/0.40	             app_encode_app(g, g, 
0.00/0.40	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.40	               sk_Xy2)))
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('sup-', [status(thm)], ['4', '263'])).
0.00/0.40	tff('265', plain,
0.00/0.40	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.40	       app_encode_app(g, b, sk_Xh1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.40	           app_encode_app(g, b, sk_Xh1, 
0.00/0.40	             app_encode_app(g, g, 
0.00/0.40	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.40	               sk_Xy2)))
0.00/0.40	     | ~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('demod', [status(thm)], ['264', '119', '230'])).
0.00/0.40	tff('266', plain,
0.00/0.40	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('simplify', [status(thm)], ['265'])).
0.00/0.40	tff('267', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '266'])).
0.00/0.40	tff('268', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.40	    inference('demod', [status(thm)], ['267', '119'])).
0.00/0.40	tff('269', plain,
0.00/0.40	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('simplify', [status(thm)], ['268'])).
0.00/0.40	tff('270', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '269'])).
0.00/0.40	tff('271', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.40	    inference('demod', [status(thm)], ['270', '230'])).
0.00/0.40	tff('272', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('simplify', [status(thm)], ['271'])).
0.00/0.40	tff('273', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.40	    inference('clc', [status(thm)], ['261', '272'])).
0.00/0.40	tff('274', plain,
0.00/0.40	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('clc', [status(thm)], ['246', '273'])).
0.00/0.40	tff('275', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(b, a, sk_Xh2, 
0.00/0.40	         app_encode_app(g, b, sk_Xh1, 
0.00/0.40	           app_encode_app(g, g, 
0.00/0.40	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	        != app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.00/0.40	               app_encode_app(b, a, sk_Xh2, 
0.00/0.40	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.00/0.40	             app_encode_app(b, a, sk_Xh2, 
0.00/0.40	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('276', plain,
0.00/0.40	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.40	       app_encode_app(g, b, sk_Xh1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.40	           app_encode_app(b, b, 
0.00/0.40	             app_encode_app(b, app_encode_fun(b, b), sk_Xf2, 
0.00/0.40	               app_encode_app(g, b, sk_Xh1, sk_Xx3)), 
0.00/0.40	             app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('sup-', [status(thm)], ['5', '275'])).
0.00/0.40	tff('277', plain,
0.00/0.40	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.40	       app_encode_app(g, b, sk_Xh1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.40	           app_encode_app(g, b, sk_Xh1, 
0.00/0.40	             app_encode_app(g, g, 
0.00/0.40	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.40	               sk_Xy2)))
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('sup-', [status(thm)], ['4', '276'])).
0.00/0.40	tff('278', plain,
0.00/0.40	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.40	       app_encode_app(g, b, sk_Xh1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.40	           app_encode_app(g, b, sk_Xh1, 
0.00/0.40	             app_encode_app(g, g, 
0.00/0.40	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.40	               sk_Xy2)))
0.00/0.40	     | ~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('demod', [status(thm)], ['277', '119', '230'])).
0.00/0.40	tff('279', plain,
0.00/0.40	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('simplify', [status(thm)], ['278'])).
0.00/0.40	tff('280', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('sup-', [status(thm)], ['1', '279'])).
0.00/0.40	tff('281', plain,
0.00/0.40	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.40	    inference('simplify', [status(thm)], ['280'])).
0.00/0.40	tff('282', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '281'])).
0.00/0.40	tff('283', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.40	    inference('demod', [status(thm)], ['282', '119'])).
0.00/0.40	tff('284', plain,
0.00/0.40	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.40	    inference('simplify', [status(thm)], ['283'])).
0.00/0.40	tff('285', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '284'])).
0.00/0.40	tff('286', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.40	    inference('demod', [status(thm)], ['285', '230'])).
0.00/0.40	tff('287', plain,
0.00/0.40	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.40	    inference('simplify', [status(thm)], ['286'])).
0.00/0.40	tff('288', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '287'])).
0.00/0.40	tff('289', plain,
0.00/0.40	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.40	    inference('simplify', [status(thm)], ['288'])).
0.00/0.40	tff('290', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(b, a, sk_Xh2, 
0.00/0.40	         app_encode_app(g, b, sk_Xh1, 
0.00/0.40	           app_encode_app(g, g, 
0.00/0.40	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	        != app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.00/0.40	               app_encode_app(b, a, sk_Xh2, 
0.00/0.40	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.00/0.40	             app_encode_app(b, a, sk_Xh2, 
0.00/0.40	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('291', plain,
0.00/0.40	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.40	       app_encode_app(g, b, sk_Xh1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.40	           app_encode_app(b, b, 
0.00/0.40	             app_encode_app(b, app_encode_fun(b, b), sk_Xf2, 
0.00/0.40	               app_encode_app(g, b, sk_Xh1, sk_Xx3)), 
0.00/0.40	             app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('sup-', [status(thm)], ['5', '290'])).
0.00/0.40	tff('292', plain,
0.00/0.40	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.40	       app_encode_app(g, b, sk_Xh1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.40	           app_encode_app(g, b, sk_Xh1, 
0.00/0.40	             app_encode_app(g, g, 
0.00/0.40	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.40	               sk_Xy2)))
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('sup-', [status(thm)], ['4', '291'])).
0.00/0.40	tff('293', plain,
0.00/0.40	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.40	       app_encode_app(g, b, sk_Xh1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.40	           app_encode_app(g, b, sk_Xh1, 
0.00/0.40	             app_encode_app(g, g, 
0.00/0.40	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.40	               sk_Xy2)))
0.00/0.40	     | ~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('demod', [status(thm)], ['292', '119', '230'])).
0.00/0.40	tff('294', plain,
0.00/0.40	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('simplify', [status(thm)], ['293'])).
0.00/0.40	tff('295', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '294'])).
0.00/0.40	tff('296', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.40	    inference('demod', [status(thm)], ['295', '119'])).
0.00/0.40	tff('297', plain,
0.00/0.40	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('simplify', [status(thm)], ['296'])).
0.00/0.40	tff('298', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '297'])).
0.00/0.40	tff('299', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.40	    inference('demod', [status(thm)], ['298', '230'])).
0.00/0.40	tff('300', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('simplify', [status(thm)], ['299'])).
0.00/0.40	tff('301', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.40	    inference('clc', [status(thm)], ['289', '300'])).
0.00/0.40	tff('302', plain,
0.00/0.40	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('clc', [status(thm)], ['274', '301'])).
0.00/0.40	tff('303', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('sup-', [status(thm)], ['1', '302'])).
0.00/0.40	tff('304', plain,
0.00/0.40	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.40	    inference('simplify', [status(thm)], ['303'])).
0.00/0.40	tff('305', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '304'])).
0.00/0.40	tff('306', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.40	    inference('demod', [status(thm)], ['305', '119'])).
0.00/0.40	tff('307', plain,
0.00/0.40	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.40	    inference('simplify', [status(thm)], ['306'])).
0.00/0.40	tff('308', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '307'])).
0.00/0.40	tff('309', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('demod', [status(thm)], ['308', '230'])).
0.00/0.40	tff('310', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.40	    inference('simplify', [status(thm)], ['309'])).
0.00/0.40	tff('311', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '310'])).
0.00/0.40	tff('312', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.40	    inference('simplify', [status(thm)], ['311'])).
0.00/0.40	tff('313', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(b, a, sk_Xh2, 
0.00/0.40	         app_encode_app(g, b, sk_Xh1, 
0.00/0.40	           app_encode_app(g, g, 
0.00/0.40	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	        != app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.00/0.40	               app_encode_app(b, a, sk_Xh2, 
0.00/0.40	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.00/0.40	             app_encode_app(b, a, sk_Xh2, 
0.00/0.40	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('314', plain,
0.00/0.40	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.40	       app_encode_app(g, b, sk_Xh1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.40	           app_encode_app(b, b, 
0.00/0.40	             app_encode_app(b, app_encode_fun(b, b), sk_Xf2, 
0.00/0.40	               app_encode_app(g, b, sk_Xh1, sk_Xx3)), 
0.00/0.40	             app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('sup-', [status(thm)], ['5', '313'])).
0.00/0.40	tff('315', plain,
0.00/0.40	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.40	       app_encode_app(g, b, sk_Xh1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.40	           app_encode_app(g, b, sk_Xh1, 
0.00/0.40	             app_encode_app(g, g, 
0.00/0.40	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.40	               sk_Xy2)))
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('sup-', [status(thm)], ['4', '314'])).
0.00/0.40	tff('316', plain,
0.00/0.40	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.40	       app_encode_app(g, b, sk_Xh1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.40	           app_encode_app(g, b, sk_Xh1, 
0.00/0.40	             app_encode_app(g, g, 
0.00/0.40	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.40	               sk_Xy2)))
0.00/0.40	     | ~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('demod', [status(thm)], ['315', '119', '230'])).
0.00/0.40	tff('317', plain,
0.00/0.40	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('simplify', [status(thm)], ['316'])).
0.00/0.40	tff('318', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('sup-', [status(thm)], ['3', '317'])).
0.00/0.40	tff('319', plain,
0.00/0.40	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.40	    inference('simplify', [status(thm)], ['318'])).
0.00/0.40	tff('320', plain,
0.00/0.40	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('clc', [status(thm)], ['319', '273'])).
0.00/0.40	tff('321', plain,
0.00/0.40	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('clc', [status(thm)], ['320', '301'])).
0.00/0.40	tff('322', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '321'])).
0.00/0.40	tff('323', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.40	    inference('demod', [status(thm)], ['322', '119'])).
0.00/0.40	tff('324', plain,
0.00/0.40	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('simplify', [status(thm)], ['323'])).
0.00/0.40	tff('325', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '324'])).
0.00/0.40	tff('326', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.40	    inference('demod', [status(thm)], ['325', '230'])).
0.00/0.40	tff('327', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.40	    inference('simplify', [status(thm)], ['326'])).
0.00/0.40	tff('328', plain, app_encode_app(g, $o, sk_Xs1, sk_Xy),
0.00/0.40	    inference('clc', [status(thm)], ['312', '327'])).
0.00/0.40	tff('329', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(b, a, sk_Xh2, 
0.00/0.40	         app_encode_app(g, b, sk_Xh1, 
0.00/0.40	           app_encode_app(g, g, 
0.00/0.40	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	        != app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.00/0.40	               app_encode_app(b, a, sk_Xh2, 
0.00/0.40	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.00/0.40	             app_encode_app(b, a, sk_Xh2, 
0.00/0.40	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('330', plain,
0.00/0.40	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.40	       app_encode_app(g, b, sk_Xh1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.40	           app_encode_app(b, b, 
0.00/0.40	             app_encode_app(b, app_encode_fun(b, b), sk_Xf2, 
0.00/0.40	               app_encode_app(g, b, sk_Xh1, sk_Xx3)), 
0.00/0.40	             app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.40	    inference('sup-', [status(thm)], ['5', '329'])).
0.00/0.40	tff('331', plain,
0.00/0.40	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.40	       app_encode_app(g, b, sk_Xh1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.40	           app_encode_app(g, b, sk_Xh1, 
0.00/0.40	             app_encode_app(g, g, 
0.00/0.40	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.40	               sk_Xy2)))
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('sup-', [status(thm)], ['4', '330'])).
0.00/0.40	tff('332', plain,
0.00/0.40	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.40	       app_encode_app(g, b, sk_Xh1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.40	           app_encode_app(g, b, sk_Xh1, 
0.00/0.40	             app_encode_app(g, g, 
0.00/0.40	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.40	               sk_Xy2)))
0.00/0.40	     | ~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('demod', [status(thm)], ['331', '119', '230'])).
0.00/0.40	tff('333', plain,
0.00/0.40	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.40	    inference('simplify', [status(thm)], ['332'])).
0.00/0.40	tff('334', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('sup-', [status(thm)], ['3', '333'])).
0.00/0.40	tff('335', plain,
0.00/0.40	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.40	    inference('simplify', [status(thm)], ['334'])).
0.00/0.40	tff('336', plain,
0.00/0.40	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(b, a, sk_Xh2, 
0.00/0.40	         app_encode_app(g, b, sk_Xh1, 
0.00/0.40	           app_encode_app(g, g, 
0.00/0.40	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	        != app_encode_app(a, a, 
0.00/0.40	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.00/0.40	               app_encode_app(b, a, sk_Xh2, 
0.00/0.40	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.00/0.40	             app_encode_app(b, a, sk_Xh2, 
0.00/0.40	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('337', plain,
0.00/0.40	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.40	       app_encode_app(g, b, sk_Xh1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.40	           app_encode_app(b, b, 
0.00/0.40	             app_encode_app(b, app_encode_fun(b, b), sk_Xf2, 
0.00/0.40	               app_encode_app(g, b, sk_Xh1, sk_Xx3)), 
0.00/0.40	             app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.40	    inference('sup-', [status(thm)], ['5', '336'])).
0.00/0.40	tff('338', plain,
0.00/0.40	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.40	       app_encode_app(g, b, sk_Xh1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.40	           app_encode_app(g, b, sk_Xh1, 
0.00/0.40	             app_encode_app(g, g, 
0.00/0.40	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.40	               sk_Xy2)))
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('sup-', [status(thm)], ['4', '337'])).
0.00/0.40	tff('339', plain,
0.00/0.40	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.40	       app_encode_app(g, b, sk_Xh1, 
0.00/0.40	         app_encode_app(g, g, 
0.00/0.40	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.40	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.40	           app_encode_app(g, b, sk_Xh1, 
0.00/0.40	             app_encode_app(g, g, 
0.00/0.40	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.40	               sk_Xy2)))
0.00/0.40	     | ~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('demod', [status(thm)], ['338', '119', '230'])).
0.00/0.40	tff('340', plain,
0.00/0.40	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.40	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.40	    inference('simplify', [status(thm)], ['339'])).
0.00/0.40	tff('341', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.40	    inference('sup-', [status(thm)], ['1', '340'])).
0.00/0.40	tff('342', plain,
0.00/0.40	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.40	    inference('simplify', [status(thm)], ['341'])).
0.00/0.40	tff('343', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '342'])).
0.00/0.40	tff('344', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.40	    inference('demod', [status(thm)], ['343', '119'])).
0.00/0.40	tff('345', plain,
0.00/0.40	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.40	    inference('simplify', [status(thm)], ['344'])).
0.00/0.40	tff('346', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '345'])).
0.00/0.40	tff('347', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.40	    inference('demod', [status(thm)], ['346', '230'])).
0.00/0.40	tff('348', plain,
0.00/0.40	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.40	    inference('simplify', [status(thm)], ['347'])).
0.00/0.40	tff('349', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '348'])).
0.00/0.40	tff('350', plain,
0.00/0.40	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.40	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.40	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.40	    inference('simplify', [status(thm)], ['349'])).
0.00/0.41	tff('351', plain,
0.00/0.41	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(b, a, sk_Xh2, 
0.00/0.41	         app_encode_app(g, b, sk_Xh1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	        != app_encode_app(a, a, 
0.00/0.41	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.00/0.41	               app_encode_app(b, a, sk_Xh2, 
0.00/0.41	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.00/0.41	             app_encode_app(b, a, sk_Xh2, 
0.00/0.41	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.00/0.41	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.41	tff('352', plain,
0.00/0.41	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.41	       app_encode_app(g, b, sk_Xh1, 
0.00/0.41	         app_encode_app(g, g, 
0.00/0.41	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.41	           app_encode_app(b, b, 
0.00/0.41	             app_encode_app(b, app_encode_fun(b, b), sk_Xf2, 
0.00/0.41	               app_encode_app(g, b, sk_Xh1, sk_Xx3)), 
0.00/0.41	             app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.41	    inference('sup-', [status(thm)], ['5', '351'])).
0.00/0.41	tff('353', plain,
0.00/0.41	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.41	       app_encode_app(g, b, sk_Xh1, 
0.00/0.41	         app_encode_app(g, g, 
0.00/0.41	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.41	           app_encode_app(g, b, sk_Xh1, 
0.00/0.41	             app_encode_app(g, g, 
0.00/0.41	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.41	               sk_Xy2)))
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('sup-', [status(thm)], ['4', '352'])).
0.00/0.41	tff('354', plain,
0.00/0.41	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.41	       app_encode_app(g, b, sk_Xh1, 
0.00/0.41	         app_encode_app(g, g, 
0.00/0.41	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.41	           app_encode_app(g, b, sk_Xh1, 
0.00/0.41	             app_encode_app(g, g, 
0.00/0.41	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.41	               sk_Xy2)))
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('demod', [status(thm)], ['353', '119', '230'])).
0.00/0.41	tff('355', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.41	    inference('simplify', [status(thm)], ['354'])).
0.00/0.41	tff('356', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.41	    inference('sup-', [status(thm)], ['0', '355'])).
0.00/0.41	tff('357', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.41	    inference('demod', [status(thm)], ['356', '119'])).
0.00/0.41	tff('358', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.41	    inference('simplify', [status(thm)], ['357'])).
0.00/0.41	tff('359', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.41	    inference('sup-', [status(thm)], ['0', '358'])).
0.00/0.41	tff('360', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.41	    inference('demod', [status(thm)], ['359', '230'])).
0.00/0.41	tff('361', plain,
0.00/0.41	    (app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.41	    inference('simplify', [status(thm)], ['360'])).
0.00/0.41	tff('362', plain,
0.00/0.41	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.41	    inference('clc', [status(thm)], ['350', '361'])).
0.00/0.41	tff('363', plain,
0.00/0.41	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('clc', [status(thm)], ['335', '362'])).
0.00/0.41	tff('364', plain,
0.00/0.41	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.41	     | app_encode_app(b, a, sk_Xh2, 
0.00/0.41	         app_encode_app(g, b, sk_Xh1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	        != app_encode_app(a, a, 
0.00/0.41	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.00/0.41	               app_encode_app(b, a, sk_Xh2, 
0.00/0.41	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.00/0.41	             app_encode_app(b, a, sk_Xh2, 
0.00/0.41	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.00/0.41	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.41	tff('365', plain,
0.00/0.41	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.41	       app_encode_app(g, b, sk_Xh1, 
0.00/0.41	         app_encode_app(g, g, 
0.00/0.41	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.41	           app_encode_app(b, b, 
0.00/0.41	             app_encode_app(b, app_encode_fun(b, b), sk_Xf2, 
0.00/0.41	               app_encode_app(g, b, sk_Xh1, sk_Xx3)), 
0.00/0.41	             app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.41	    inference('sup-', [status(thm)], ['5', '364'])).
0.00/0.41	tff('366', plain,
0.00/0.41	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.41	       app_encode_app(g, b, sk_Xh1, 
0.00/0.41	         app_encode_app(g, g, 
0.00/0.41	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.41	           app_encode_app(g, b, sk_Xh1, 
0.00/0.41	             app_encode_app(g, g, 
0.00/0.41	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.41	               sk_Xy2)))
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('sup-', [status(thm)], ['4', '365'])).
0.00/0.41	tff('367', plain,
0.00/0.41	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.41	       app_encode_app(g, b, sk_Xh1, 
0.00/0.41	         app_encode_app(g, g, 
0.00/0.41	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.41	           app_encode_app(g, b, sk_Xh1, 
0.00/0.41	             app_encode_app(g, g, 
0.00/0.41	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.41	               sk_Xy2)))
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('demod', [status(thm)], ['366', '119', '230'])).
0.00/0.41	tff('368', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.41	    inference('simplify', [status(thm)], ['367'])).
0.00/0.41	tff('369', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('sup-', [status(thm)], ['1', '368'])).
0.00/0.41	tff('370', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.41	    inference('simplify', [status(thm)], ['369'])).
0.00/0.41	tff('371', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.41	    inference('sup-', [status(thm)], ['0', '370'])).
0.00/0.41	tff('372', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.41	    inference('demod', [status(thm)], ['371', '119'])).
0.00/0.41	tff('373', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.41	    inference('simplify', [status(thm)], ['372'])).
0.00/0.41	tff('374', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.41	    inference('sup-', [status(thm)], ['0', '373'])).
0.00/0.41	tff('375', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.41	    inference('demod', [status(thm)], ['374', '230'])).
0.00/0.41	tff('376', plain,
0.00/0.41	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.41	    inference('simplify', [status(thm)], ['375'])).
0.00/0.41	tff('377', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.41	    inference('sup-', [status(thm)], ['0', '376'])).
0.00/0.41	tff('378', plain,
0.00/0.41	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.41	    inference('simplify', [status(thm)], ['377'])).
0.00/0.41	tff('379', plain,
0.00/0.41	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(b, a, sk_Xh2, 
0.00/0.41	         app_encode_app(g, b, sk_Xh1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	        != app_encode_app(a, a, 
0.00/0.41	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.00/0.41	               app_encode_app(b, a, sk_Xh2, 
0.00/0.41	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.00/0.41	             app_encode_app(b, a, sk_Xh2, 
0.00/0.41	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.00/0.41	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.41	tff('380', plain,
0.00/0.41	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.41	       app_encode_app(g, b, sk_Xh1, 
0.00/0.41	         app_encode_app(g, g, 
0.00/0.41	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.41	           app_encode_app(b, b, 
0.00/0.41	             app_encode_app(b, app_encode_fun(b, b), sk_Xf2, 
0.00/0.41	               app_encode_app(g, b, sk_Xh1, sk_Xx3)), 
0.00/0.41	             app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.41	    inference('sup-', [status(thm)], ['5', '379'])).
0.00/0.41	tff('381', plain,
0.00/0.41	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.41	       app_encode_app(g, b, sk_Xh1, 
0.00/0.41	         app_encode_app(g, g, 
0.00/0.41	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.41	           app_encode_app(g, b, sk_Xh1, 
0.00/0.41	             app_encode_app(g, g, 
0.00/0.41	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.41	               sk_Xy2)))
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('sup-', [status(thm)], ['4', '380'])).
0.00/0.41	tff('382', plain,
0.00/0.41	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.41	       app_encode_app(g, b, sk_Xh1, 
0.00/0.41	         app_encode_app(g, g, 
0.00/0.41	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.41	           app_encode_app(g, b, sk_Xh1, 
0.00/0.41	             app_encode_app(g, g, 
0.00/0.41	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.41	               sk_Xy2)))
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('demod', [status(thm)], ['381', '119', '230'])).
0.00/0.41	tff('383', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.41	    inference('simplify', [status(thm)], ['382'])).
0.00/0.41	tff('384', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.41	    inference('sup-', [status(thm)], ['0', '383'])).
0.00/0.41	tff('385', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.41	    inference('demod', [status(thm)], ['384', '119'])).
0.00/0.41	tff('386', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.41	    inference('simplify', [status(thm)], ['385'])).
0.00/0.41	tff('387', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.41	    inference('sup-', [status(thm)], ['0', '386'])).
0.00/0.41	tff('388', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.41	    inference('demod', [status(thm)], ['387', '230'])).
0.00/0.41	tff('389', plain,
0.00/0.41	    (app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.41	    inference('simplify', [status(thm)], ['388'])).
0.00/0.41	tff('390', plain,
0.00/0.41	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.41	    inference('clc', [status(thm)], ['378', '389'])).
0.00/0.41	tff('391', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.41	    inference('clc', [status(thm)], ['363', '390'])).
0.00/0.41	tff('392', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('sup-', [status(thm)], ['1', '391'])).
0.00/0.41	tff('393', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.41	    inference('simplify', [status(thm)], ['392'])).
0.00/0.41	tff('394', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.41	    inference('sup-', [status(thm)], ['0', '393'])).
0.00/0.41	tff('395', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.41	    inference('demod', [status(thm)], ['394', '119'])).
0.00/0.41	tff('396', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.41	    inference('simplify', [status(thm)], ['395'])).
0.00/0.41	tff('397', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.41	    inference('sup-', [status(thm)], ['0', '396'])).
0.00/0.41	tff('398', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.41	    inference('demod', [status(thm)], ['397', '230'])).
0.00/0.41	tff('399', plain,
0.00/0.41	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.41	    inference('simplify', [status(thm)], ['398'])).
0.00/0.41	tff('400', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.41	    inference('sup-', [status(thm)], ['0', '399'])).
0.00/0.41	tff('401', plain,
0.00/0.41	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.41	    inference('simplify', [status(thm)], ['400'])).
0.00/0.41	tff('402', plain,
0.00/0.41	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(a, a, 
0.00/0.41	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(b, a, sk_Xh2, 
0.00/0.41	         app_encode_app(g, b, sk_Xh1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	        != app_encode_app(a, a, 
0.00/0.41	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.00/0.41	               app_encode_app(b, a, sk_Xh2, 
0.00/0.41	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.00/0.41	             app_encode_app(b, a, sk_Xh2, 
0.00/0.41	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.00/0.41	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.41	tff('403', plain,
0.00/0.41	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.41	       app_encode_app(g, b, sk_Xh1, 
0.00/0.41	         app_encode_app(g, g, 
0.00/0.41	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.41	           app_encode_app(b, b, 
0.00/0.41	             app_encode_app(b, app_encode_fun(b, b), sk_Xf2, 
0.00/0.41	               app_encode_app(g, b, sk_Xh1, sk_Xx3)), 
0.00/0.41	             app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(a, a, 
0.00/0.41	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.41	    inference('sup-', [status(thm)], ['5', '402'])).
0.00/0.41	tff('404', plain,
0.00/0.41	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.41	       app_encode_app(g, b, sk_Xh1, 
0.00/0.41	         app_encode_app(g, g, 
0.00/0.41	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.41	           app_encode_app(g, b, sk_Xh1, 
0.00/0.41	             app_encode_app(g, g, 
0.00/0.41	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.41	               sk_Xy2)))
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(a, a, 
0.00/0.41	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('sup-', [status(thm)], ['4', '403'])).
0.00/0.41	tff('405', plain,
0.00/0.41	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.41	       app_encode_app(g, b, sk_Xh1, 
0.00/0.41	         app_encode_app(g, g, 
0.00/0.41	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.41	           app_encode_app(g, b, sk_Xh1, 
0.00/0.41	             app_encode_app(g, g, 
0.00/0.41	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.41	               sk_Xy2)))
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(a, a, 
0.00/0.41	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('demod', [status(thm)], ['404', '119', '230'])).
0.00/0.41	tff('406', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(a, a, 
0.00/0.41	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.41	    inference('simplify', [status(thm)], ['405'])).
0.00/0.41	tff('407', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('sup-', [status(thm)], ['3', '406'])).
0.00/0.41	tff('408', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.41	    inference('simplify', [status(thm)], ['407'])).
0.00/0.41	tff('409', plain,
0.00/0.41	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('clc', [status(thm)], ['408', '362'])).
0.00/0.41	tff('410', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.41	    inference('clc', [status(thm)], ['409', '390'])).
0.00/0.41	tff('411', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.41	    inference('sup-', [status(thm)], ['0', '410'])).
0.00/0.41	tff('412', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.41	    inference('demod', [status(thm)], ['411', '119'])).
0.00/0.41	tff('413', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.41	    inference('simplify', [status(thm)], ['412'])).
0.00/0.41	tff('414', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.41	    inference('sup-', [status(thm)], ['0', '413'])).
0.00/0.41	tff('415', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.41	    inference('demod', [status(thm)], ['414', '230'])).
0.00/0.41	tff('416', plain,
0.00/0.41	    (app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.41	    inference('simplify', [status(thm)], ['415'])).
0.00/0.41	tff('417', plain, app_encode_app(g, $o, sk_Xs1, sk_Xx),
0.00/0.41	    inference('clc', [status(thm)], ['401', '416'])).
0.00/0.41	tff('418', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('demod', [status(thm)], ['239', '328', '417'])).
0.00/0.41	tff('419', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.41	    inference('simplify', [status(thm)], ['418'])).
0.00/0.41	tff('420', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('sup-', [status(thm)], ['1', '419'])).
0.00/0.41	tff('421', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.41	    inference('simplify', [status(thm)], ['420'])).
0.00/0.41	tff('422', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.41	    inference('sup-', [status(thm)], ['0', '421'])).
0.00/0.41	tff('423', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.41	    inference('demod', [status(thm)], ['422', '119'])).
0.00/0.41	tff('424', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.41	    inference('simplify', [status(thm)], ['423'])).
0.00/0.41	tff('425', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.41	    inference('sup-', [status(thm)], ['0', '424'])).
0.00/0.41	tff('426', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.41	    inference('demod', [status(thm)], ['425', '230'])).
0.00/0.41	tff('427', plain,
0.00/0.41	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.41	    inference('simplify', [status(thm)], ['426'])).
0.00/0.41	tff('428', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.41	    inference('sup-', [status(thm)], ['0', '427'])).
0.00/0.41	tff('429', plain,
0.00/0.41	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.41	    inference('simplify', [status(thm)], ['428'])).
0.00/0.41	tff('430', plain,
0.00/0.41	    (~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.41	         app_encode_app(g, g, 
0.00/0.41	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(b, a, sk_Xh2, 
0.00/0.41	         app_encode_app(g, b, sk_Xh1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	        != app_encode_app(a, a, 
0.00/0.41	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.00/0.41	               app_encode_app(b, a, sk_Xh2, 
0.00/0.41	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.00/0.41	             app_encode_app(b, a, sk_Xh2, 
0.00/0.41	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.00/0.41	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.41	tff('431', plain,
0.00/0.41	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.41	       app_encode_app(g, b, sk_Xh1, 
0.00/0.41	         app_encode_app(g, g, 
0.00/0.41	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.41	           app_encode_app(b, b, 
0.00/0.41	             app_encode_app(b, app_encode_fun(b, b), sk_Xf2, 
0.00/0.41	               app_encode_app(g, b, sk_Xh1, sk_Xx3)), 
0.00/0.41	             app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.00/0.41	    inference('sup-', [status(thm)], ['5', '430'])).
0.00/0.41	tff('432', plain,
0.00/0.41	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.41	       app_encode_app(g, b, sk_Xh1, 
0.00/0.41	         app_encode_app(g, g, 
0.00/0.41	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.41	           app_encode_app(g, b, sk_Xh1, 
0.00/0.41	             app_encode_app(g, g, 
0.00/0.41	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.41	               sk_Xy2)))
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('sup-', [status(thm)], ['4', '431'])).
0.00/0.41	tff('433', plain,
0.00/0.41	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.41	       app_encode_app(g, b, sk_Xh1, 
0.00/0.41	         app_encode_app(g, g, 
0.00/0.41	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.41	           app_encode_app(g, b, sk_Xh1, 
0.00/0.41	             app_encode_app(g, g, 
0.00/0.41	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.41	               sk_Xy2)))
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('demod', [status(thm)], ['432', '119', '230'])).
0.00/0.41	tff('434', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.00/0.41	    inference('simplify', [status(thm)], ['433'])).
0.00/0.41	tff('435', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('sup-', [status(thm)], ['2', '434'])).
0.00/0.41	tff('436', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.41	    inference('simplify', [status(thm)], ['435'])).
0.00/0.41	tff('437', plain,
0.00/0.41	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('clc', [status(thm)], ['436', '390'])).
0.00/0.41	tff('438', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.41	    inference('clc', [status(thm)], ['437', '301'])).
0.00/0.41	tff('439', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.41	    inference('sup-', [status(thm)], ['0', '438'])).
0.00/0.41	tff('440', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.41	    inference('demod', [status(thm)], ['439', '119'])).
0.00/0.41	tff('441', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.41	    inference('simplify', [status(thm)], ['440'])).
0.00/0.41	tff('442', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.41	    inference('sup-', [status(thm)], ['0', '441'])).
0.00/0.41	tff('443', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.41	    inference('demod', [status(thm)], ['442', '230'])).
0.00/0.41	tff('444', plain,
0.00/0.41	    (app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.00/0.41	    inference('simplify', [status(thm)], ['443'])).
0.00/0.41	tff('445', plain, app_encode_app(a, $o, sk_Xs3, sk_Xy1),
0.00/0.41	    inference('clc', [status(thm)], ['429', '444'])).
0.00/0.41	tff('446', plain,
0.00/0.41	    (~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.41	         app_encode_app(g, g, 
0.00/0.41	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.41	     | app_encode_app(b, a, sk_Xh2, 
0.00/0.41	         app_encode_app(g, b, sk_Xh1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	        != app_encode_app(a, a, 
0.00/0.41	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.00/0.41	               app_encode_app(b, a, sk_Xh2, 
0.00/0.41	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.00/0.41	             app_encode_app(b, a, sk_Xh2, 
0.00/0.41	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.00/0.41	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.41	tff('447', plain,
0.00/0.41	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.41	       app_encode_app(g, b, sk_Xh1, 
0.00/0.41	         app_encode_app(g, g, 
0.00/0.41	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.41	           app_encode_app(b, b, 
0.00/0.41	             app_encode_app(b, app_encode_fun(b, b), sk_Xf2, 
0.00/0.41	               app_encode_app(g, b, sk_Xh1, sk_Xx3)), 
0.00/0.41	             app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.00/0.41	    inference('sup-', [status(thm)], ['5', '446'])).
0.00/0.41	tff('448', plain,
0.00/0.41	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.41	       app_encode_app(g, b, sk_Xh1, 
0.00/0.41	         app_encode_app(g, g, 
0.00/0.41	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.41	           app_encode_app(g, b, sk_Xh1, 
0.00/0.41	             app_encode_app(g, g, 
0.00/0.41	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.41	               sk_Xy2)))
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('sup-', [status(thm)], ['4', '447'])).
0.00/0.41	tff('449', plain,
0.00/0.41	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.41	       app_encode_app(g, b, sk_Xh1, 
0.00/0.41	         app_encode_app(g, g, 
0.00/0.41	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.41	           app_encode_app(g, b, sk_Xh1, 
0.00/0.41	             app_encode_app(g, g, 
0.00/0.41	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.41	               sk_Xy2)))
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('demod', [status(thm)], ['448', '119', '230'])).
0.00/0.41	tff('450', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.00/0.41	    inference('simplify', [status(thm)], ['449'])).
0.00/0.41	tff('451', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('sup-', [status(thm)], ['2', '450'])).
0.00/0.41	tff('452', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('demod', [status(thm)], ['451', '328', '417'])).
0.00/0.41	tff('453', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.41	    inference('simplify', [status(thm)], ['452'])).
0.00/0.41	tff('454', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('sup-', [status(thm)], ['1', '453'])).
0.00/0.41	tff('455', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.41	    inference('simplify', [status(thm)], ['454'])).
0.00/0.41	tff('456', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.41	    inference('sup-', [status(thm)], ['0', '455'])).
0.00/0.41	tff('457', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.41	    inference('demod', [status(thm)], ['456', '119'])).
0.00/0.41	tff('458', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.41	    inference('simplify', [status(thm)], ['457'])).
0.00/0.41	tff('459', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.41	    inference('sup-', [status(thm)], ['0', '458'])).
0.00/0.41	tff('460', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.41	    inference('demod', [status(thm)], ['459', '230'])).
0.00/0.41	tff('461', plain,
0.00/0.41	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.41	    inference('simplify', [status(thm)], ['460'])).
0.00/0.41	tff('462', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.41	    inference('sup-', [status(thm)], ['0', '461'])).
0.00/0.41	tff('463', plain,
0.00/0.41	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.41	    inference('simplify', [status(thm)], ['462'])).
0.00/0.41	tff('464', plain,
0.00/0.41	    (~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.41	         app_encode_app(g, g, 
0.00/0.41	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(b, a, sk_Xh2, 
0.00/0.41	         app_encode_app(g, b, sk_Xh1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	        != app_encode_app(a, a, 
0.00/0.41	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.00/0.41	               app_encode_app(b, a, sk_Xh2, 
0.00/0.41	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.00/0.41	             app_encode_app(b, a, sk_Xh2, 
0.00/0.41	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.00/0.41	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.41	tff('465', plain,
0.00/0.41	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.41	       app_encode_app(g, b, sk_Xh1, 
0.00/0.41	         app_encode_app(g, g, 
0.00/0.41	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.41	           app_encode_app(b, b, 
0.00/0.41	             app_encode_app(b, app_encode_fun(b, b), sk_Xf2, 
0.00/0.41	               app_encode_app(g, b, sk_Xh1, sk_Xx3)), 
0.00/0.41	             app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.00/0.41	    inference('sup-', [status(thm)], ['5', '464'])).
0.00/0.41	tff('466', plain,
0.00/0.41	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.41	       app_encode_app(g, b, sk_Xh1, 
0.00/0.41	         app_encode_app(g, g, 
0.00/0.41	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.41	           app_encode_app(g, b, sk_Xh1, 
0.00/0.41	             app_encode_app(g, g, 
0.00/0.41	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.41	               sk_Xy2)))
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('sup-', [status(thm)], ['4', '465'])).
0.00/0.41	tff('467', plain,
0.00/0.41	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.41	       app_encode_app(g, b, sk_Xh1, 
0.00/0.41	         app_encode_app(g, g, 
0.00/0.41	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.41	           app_encode_app(g, b, sk_Xh1, 
0.00/0.41	             app_encode_app(g, g, 
0.00/0.41	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.41	               sk_Xy2)))
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('demod', [status(thm)], ['466', '119', '230'])).
0.00/0.41	tff('468', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.00/0.41	    inference('simplify', [status(thm)], ['467'])).
0.00/0.41	tff('469', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('sup-', [status(thm)], ['2', '468'])).
0.00/0.41	tff('470', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.00/0.41	    inference('simplify', [status(thm)], ['469'])).
0.00/0.41	tff('471', plain,
0.00/0.41	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('clc', [status(thm)], ['470', '362'])).
0.00/0.41	tff('472', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.41	    inference('clc', [status(thm)], ['471', '273'])).
0.00/0.41	tff('473', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.41	    inference('sup-', [status(thm)], ['0', '472'])).
0.00/0.41	tff('474', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.41	    inference('demod', [status(thm)], ['473', '119'])).
0.00/0.41	tff('475', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.41	    inference('simplify', [status(thm)], ['474'])).
0.00/0.41	tff('476', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.41	    inference('sup-', [status(thm)], ['0', '475'])).
0.00/0.41	tff('477', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.41	    inference('demod', [status(thm)], ['476', '230'])).
0.00/0.41	tff('478', plain,
0.00/0.41	    (app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.41	    inference('simplify', [status(thm)], ['477'])).
0.00/0.41	tff('479', plain, app_encode_app(a, $o, sk_Xs3, sk_Xx1),
0.00/0.41	    inference('clc', [status(thm)], ['463', '478'])).
0.00/0.41	tff('480', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('demod', [status(thm)], ['233', '445', '479'])).
0.00/0.41	tff('481', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.00/0.41	    inference('simplify', [status(thm)], ['480'])).
0.00/0.41	tff('482', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('sup-', [status(thm)], ['2', '481'])).
0.00/0.41	tff('483', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('demod', [status(thm)], ['482', '328', '417'])).
0.00/0.41	tff('484', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.00/0.41	    inference('simplify', [status(thm)], ['483'])).
0.00/0.41	tff('485', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('sup-', [status(thm)], ['1', '484'])).
0.00/0.41	tff('486', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.41	    inference('simplify', [status(thm)], ['485'])).
0.00/0.41	tff('487', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.41	    inference('sup-', [status(thm)], ['0', '486'])).
0.00/0.41	tff('488', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.41	    inference('demod', [status(thm)], ['487', '119'])).
0.00/0.41	tff('489', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.41	    inference('simplify', [status(thm)], ['488'])).
0.00/0.41	tff('490', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.41	    inference('sup-', [status(thm)], ['0', '489'])).
0.00/0.41	tff('491', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.41	    inference('demod', [status(thm)], ['490', '230'])).
0.00/0.41	tff('492', plain,
0.00/0.41	    ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2)),
0.00/0.41	    inference('simplify', [status(thm)], ['491'])).
0.00/0.41	tff('493', plain, (~ $true | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.41	    inference('sup-', [status(thm)], ['0', '492'])).
0.00/0.41	tff('494', plain,
0.00/0.41	    (~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.41	         app_encode_app(g, g, 
0.00/0.41	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(a, a, 
0.00/0.41	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | app_encode_app(b, a, sk_Xh2, 
0.00/0.41	         app_encode_app(g, b, sk_Xh1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	        != app_encode_app(a, a, 
0.00/0.41	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.00/0.41	               app_encode_app(b, a, sk_Xh2, 
0.00/0.41	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.00/0.41	             app_encode_app(b, a, sk_Xh2, 
0.00/0.41	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.00/0.41	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.41	tff('495', plain,
0.00/0.41	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.41	       app_encode_app(g, b, sk_Xh1, 
0.00/0.41	         app_encode_app(g, g, 
0.00/0.41	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.41	           app_encode_app(b, b, 
0.00/0.41	             app_encode_app(b, app_encode_fun(b, b), sk_Xf2, 
0.00/0.41	               app_encode_app(g, b, sk_Xh1, sk_Xx3)), 
0.00/0.41	             app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(a, a, 
0.00/0.41	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.00/0.41	    inference('sup-', [status(thm)], ['5', '494'])).
0.00/0.41	tff('496', plain,
0.00/0.41	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.41	       app_encode_app(g, b, sk_Xh1, 
0.00/0.41	         app_encode_app(g, g, 
0.00/0.41	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.41	           app_encode_app(g, b, sk_Xh1, 
0.00/0.41	             app_encode_app(g, g, 
0.00/0.41	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.41	               sk_Xy2)))
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(a, a, 
0.00/0.41	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('sup-', [status(thm)], ['4', '495'])).
0.00/0.41	tff('497', plain,
0.00/0.41	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.41	       app_encode_app(g, b, sk_Xh1, 
0.00/0.41	         app_encode_app(g, g, 
0.00/0.41	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.00/0.41	      != app_encode_app(b, a, sk_Xh2, 
0.00/0.41	           app_encode_app(g, b, sk_Xh1, 
0.00/0.41	             app_encode_app(g, g, 
0.00/0.41	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.00/0.41	               sk_Xy2)))
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(a, a, 
0.00/0.41	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('demod', [status(thm)], ['496', '119', '230'])).
0.00/0.41	tff('498', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.41	           app_encode_app(a, a, 
0.00/0.41	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.00/0.41	    inference('simplify', [status(thm)], ['497'])).
0.00/0.41	tff('499', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.00/0.41	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('sup-', [status(thm)], ['3', '498'])).
0.00/0.41	tff('500', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('demod', [status(thm)], ['499', '445', '479'])).
0.00/0.41	tff('501', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.00/0.41	           app_encode_app(g, g, 
0.00/0.41	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.00/0.41	    inference('simplify', [status(thm)], ['500'])).
0.00/0.41	tff('502', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('sup-', [status(thm)], ['2', '501'])).
0.00/0.41	tff('503', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))),
0.00/0.41	    inference('demod', [status(thm)], ['502', '328', '417'])).
0.00/0.41	tff('504', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xy2))
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.41	    inference('simplify', [status(thm)], ['503'])).
0.00/0.41	tff('505', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.41	    inference('sup-', [status(thm)], ['0', '504'])).
0.00/0.41	tff('506', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ $true
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.41	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
0.00/0.41	    inference('demod', [status(thm)], ['505', '119'])).
0.00/0.41	tff('507', plain,
0.00/0.41	    (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx3))
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.41	    inference('simplify', [status(thm)], ['506'])).
0.00/0.41	tff('508', plain,
0.00/0.41	    (~ $true
0.00/0.41	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.41	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.41	    inference('sup-', [status(thm)], ['0', '507'])).
0.00/0.41	tff('509', plain,
0.00/0.41	    (~ $true | ~ $true | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.41	    inference('demod', [status(thm)], ['508', '230'])).
0.00/0.41	tff('510', plain, app_encode_app(g, $o, sk_Xs1, sk_Xx2),
0.00/0.41	    inference('simplify', [status(thm)], ['509'])).
0.00/0.41	tff('511', plain, (~ $true | ~ $true),
0.00/0.41	    inference('demod', [status(thm)], ['493', '510'])).
0.00/0.41	tff('512', plain, $false, inference('simplify', [status(thm)], ['511'])).
0.00/0.41	
0.00/0.41	% SZS output end Refutation
0.00/0.41	EOF
