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    : rpo6
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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n031.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 17:22:24 CST 2018
0.41/0.57	% done 169 iterations in 0.371s
0.41/0.57	% SZS status Theorem for 'stdin'
0.41/0.57	% SZS output start Refutation
0.41/0.58	tff(zf_stmt_6, conjecture,
0.41/0.58	  (![Xh1:app_encode_fun(g,b),Xh2:app_encode_fun(b,a),
0.41/0.58	     Xs1:app_encode_fun(g,$o),Xf1:app_encode_fun(g,app_encode_fun(g,g)),
0.41/0.58	     Xs2:app_encode_fun(b,$o),Xf2:app_encode_fun(b,app_encode_fun(b,b)),
0.41/0.58	     Xs3:app_encode_fun(a,$o),Xf3:app_encode_fun(a,app_encode_fun(a,a))]:
0.41/0.58	     ((~
0.41/0.58	        ((![Xx:g,Xy:g]:
0.41/0.58	            ((app_encode_app(g,$o,Xs1,Xx) & app_encode_app(g,$o,Xs1,Xy)) =>
0.41/0.58	             app_encode_app(g,$o,Xs1,
0.41/0.58	                            app_encode_app(g,g,
0.41/0.58	                                           app_encode_app(g,
0.41/0.58	                                                          app_encode_fun(g,g),
0.41/0.58	                                                          Xf1,Xx),
0.41/0.58	                                           Xy)))) & 
0.41/0.58	         (![Xx:a,Xy:a]:
0.41/0.58	            ((app_encode_app(a,$o,Xs3,Xx) & app_encode_app(a,$o,Xs3,Xy)) =>
0.41/0.58	             app_encode_app(a,$o,Xs3,
0.41/0.58	                            app_encode_app(a,a,
0.41/0.58	                                           app_encode_app(a,
0.41/0.58	                                                          app_encode_fun(a,a),
0.41/0.58	                                                          Xf3,Xx),
0.41/0.58	                                           Xy)))) & 
0.41/0.58	         (![Xx:g]:
0.41/0.58	            (app_encode_app(g,$o,Xs1,Xx) =>
0.41/0.58	             app_encode_app(a,$o,Xs3,
0.41/0.58	                            app_encode_app(b,a,Xh2,app_encode_app(g,b,Xh1,Xx))))) & 
0.41/0.58	         (![Xx:g,Xy:g]:
0.41/0.58	            ((app_encode_app(g,$o,Xs1,Xx) & app_encode_app(g,$o,Xs1,Xy)) =>
0.41/0.58	             (app_encode_app(b,a,Xh2,
0.41/0.58	                             app_encode_app(g,b,Xh1,
0.41/0.58	                                            app_encode_app(g,g,
0.41/0.58	                                                           app_encode_app(
0.41/0.58	                                                           g,
0.41/0.58	                                                           app_encode_fun(
0.41/0.58	                                                           g,g),Xf1,Xx),Xy))) =
0.41/0.58	              app_encode_app(a,a,
0.41/0.58	                             app_encode_app(a,app_encode_fun(a,a),Xf3,
0.41/0.58	                                            app_encode_app(b,a,Xh2,
0.41/0.58	                                                           app_encode_app(
0.41/0.58	                                                           g,b,Xh1,Xx))),
0.41/0.58	                             app_encode_app(b,a,Xh2,
0.41/0.58	                                            app_encode_app(g,b,Xh1,Xy)))))))) =>
0.41/0.58	      (~
0.41/0.58	        ((![Xx:g,Xy:g]:
0.41/0.58	            ((app_encode_app(g,$o,Xs1,Xx) & app_encode_app(g,$o,Xs1,Xy)) =>
0.41/0.58	             app_encode_app(g,$o,Xs1,
0.41/0.58	                            app_encode_app(g,g,
0.41/0.58	                                           app_encode_app(g,
0.41/0.58	                                                          app_encode_fun(g,g),
0.41/0.58	                                                          Xf1,Xx),
0.41/0.58	                                           Xy)))) & 
0.41/0.58	         (![Xx:b,Xy:b]:
0.41/0.58	            ((app_encode_app(b,$o,Xs2,Xx) & app_encode_app(b,$o,Xs2,Xy)) =>
0.41/0.58	             app_encode_app(b,$o,Xs2,
0.41/0.58	                            app_encode_app(b,b,
0.41/0.58	                                           app_encode_app(b,
0.41/0.58	                                                          app_encode_fun(b,b),
0.41/0.58	                                                          Xf2,Xx),
0.41/0.58	                                           Xy)))) & 
0.41/0.58	         (![Xx:g]:
0.41/0.58	            (app_encode_app(g,$o,Xs1,Xx) =>
0.41/0.58	             app_encode_app(b,$o,Xs2,app_encode_app(g,b,Xh1,Xx)))) & 
0.41/0.58	         (![Xx:g,Xy:g]:
0.41/0.58	            ((app_encode_app(g,$o,Xs1,Xx) & app_encode_app(g,$o,Xs1,Xy)) =>
0.41/0.58	             (app_encode_app(g,b,Xh1,
0.41/0.58	                             app_encode_app(g,g,
0.41/0.58	                                            app_encode_app(g,
0.41/0.58	                                                           app_encode_fun(
0.41/0.58	                                                           g,g),Xf1,Xx),
0.41/0.58	                                            Xy)) =
0.41/0.58	              app_encode_app(b,b,
0.41/0.58	                             app_encode_app(b,app_encode_fun(b,b),Xf2,
0.41/0.58	                                            app_encode_app(g,b,Xh1,Xx)),
0.41/0.58	                             app_encode_app(g,b,Xh1,Xy))))) & 
0.41/0.58	         (![Xx:b,Xy:b]:
0.41/0.58	            ((app_encode_app(b,$o,Xs2,Xx) & app_encode_app(b,$o,Xs2,Xy)) =>
0.41/0.58	             app_encode_app(b,$o,Xs2,
0.41/0.58	                            app_encode_app(b,b,
0.41/0.58	                                           app_encode_app(b,
0.41/0.58	                                                          app_encode_fun(b,b),
0.41/0.58	                                                          Xf2,Xx),
0.41/0.58	                                           Xy)))) & 
0.41/0.58	         (![Xx:a,Xy:a]:
0.41/0.58	            ((app_encode_app(a,$o,Xs3,Xx) & app_encode_app(a,$o,Xs3,Xy)) =>
0.41/0.58	             app_encode_app(a,$o,Xs3,
0.41/0.58	                            app_encode_app(a,a,
0.41/0.58	                                           app_encode_app(a,
0.41/0.58	                                                          app_encode_fun(a,a),
0.41/0.58	                                                          Xf3,Xx),
0.41/0.58	                                           Xy)))) & 
0.41/0.58	         (![Xx:b]:
0.41/0.58	            (app_encode_app(b,$o,Xs2,Xx) =>
0.41/0.58	             app_encode_app(a,$o,Xs3,app_encode_app(b,a,Xh2,Xx)))) & 
0.41/0.58	         (![Xx:b,Xy:b]:
0.41/0.58	            ((app_encode_app(b,$o,Xs2,Xx) & app_encode_app(b,$o,Xs2,Xy)) =>
0.41/0.58	             (app_encode_app(b,a,Xh2,
0.41/0.58	                             app_encode_app(b,b,
0.41/0.58	                                            app_encode_app(b,
0.41/0.58	                                                           app_encode_fun(
0.41/0.58	                                                           b,b),Xf2,Xx),
0.41/0.58	                                            Xy)) =
0.41/0.58	              app_encode_app(a,a,
0.41/0.58	                             app_encode_app(a,app_encode_fun(a,a),Xf3,
0.41/0.58	                                            app_encode_app(b,a,Xh2,Xx)),
0.41/0.58	                             app_encode_app(b,a,Xh2,Xy)))))))))).
0.41/0.58	tff(zf_stmt_0, negated_conjecture,
0.41/0.58	  (~
0.41/0.58	    (![Xh1:app_encode_fun(g,b),Xh2:app_encode_fun(b,a),
0.41/0.58	       Xs1:app_encode_fun(g,$o),Xf1:app_encode_fun(g,app_encode_fun(g,g)),
0.41/0.58	       Xs2:app_encode_fun(b,$o),Xf2:app_encode_fun(b,app_encode_fun(b,b)),
0.41/0.58	       Xs3:app_encode_fun(a,$o),Xf3:app_encode_fun(a,app_encode_fun(a,a))]:
0.41/0.58	       ((~
0.41/0.58	          ((![Xx:g,Xy:g]:
0.41/0.58	              ((app_encode_app(g,$o,Xs1,Xx) & app_encode_app(g,$o,Xs1,Xy)) =>
0.41/0.58	               app_encode_app(g,$o,Xs1,
0.41/0.58	                              app_encode_app(g,g,
0.41/0.58	                                             app_encode_app(g,
0.41/0.58	                                                            app_encode_fun(
0.41/0.58	                                                            g,g),Xf1,Xx),
0.41/0.58	                                             Xy)))) & 
0.41/0.58	           (![Xx:a,Xy:a]:
0.41/0.58	              ((app_encode_app(a,$o,Xs3,Xx) & app_encode_app(a,$o,Xs3,Xy)) =>
0.41/0.58	               app_encode_app(a,$o,Xs3,
0.41/0.58	                              app_encode_app(a,a,
0.41/0.58	                                             app_encode_app(a,
0.41/0.58	                                                            app_encode_fun(
0.41/0.58	                                                            a,a),Xf3,Xx),
0.41/0.58	                                             Xy)))) & 
0.41/0.58	           (![Xx:g]:
0.41/0.58	              (app_encode_app(g,$o,Xs1,Xx) =>
0.41/0.58	               app_encode_app(a,$o,Xs3,
0.41/0.58	                              app_encode_app(b,a,Xh2,
0.41/0.58	                                             app_encode_app(g,b,Xh1,Xx))))) & 
0.41/0.58	           (![Xx:g,Xy:g]:
0.41/0.58	              ((app_encode_app(g,$o,Xs1,Xx) & app_encode_app(g,$o,Xs1,Xy)) =>
0.41/0.58	               (app_encode_app(b,a,Xh2,
0.41/0.58	                               app_encode_app(g,b,Xh1,
0.41/0.58	                                              app_encode_app(g,g,
0.41/0.58	                                                             app_encode_app(
0.41/0.58	                                                             g,
0.41/0.58	                                                             app_encode_fun(
0.41/0.58	                                                             g,g),Xf1,Xx),Xy))) =
0.41/0.58	                app_encode_app(a,a,
0.41/0.58	                               app_encode_app(a,app_encode_fun(a,a),Xf3,
0.41/0.58	                                              app_encode_app(b,a,Xh2,
0.41/0.58	                                                             app_encode_app(
0.41/0.58	                                                             g,b,Xh1,Xx))),
0.41/0.58	                               app_encode_app(b,a,Xh2,
0.41/0.58	                                              app_encode_app(g,b,Xh1,Xy)))))))) =>
0.41/0.58	        (~
0.41/0.58	          ((![Xx:g,Xy:g]:
0.41/0.58	              ((app_encode_app(g,$o,Xs1,Xx) & app_encode_app(g,$o,Xs1,Xy)) =>
0.41/0.58	               app_encode_app(g,$o,Xs1,
0.41/0.58	                              app_encode_app(g,g,
0.41/0.58	                                             app_encode_app(g,
0.41/0.58	                                                            app_encode_fun(
0.41/0.58	                                                            g,g),Xf1,Xx),
0.41/0.58	                                             Xy)))) & 
0.41/0.58	           (![Xx:b,Xy:b]:
0.41/0.58	              ((app_encode_app(b,$o,Xs2,Xx) & app_encode_app(b,$o,Xs2,Xy)) =>
0.41/0.58	               app_encode_app(b,$o,Xs2,
0.41/0.58	                              app_encode_app(b,b,
0.41/0.58	                                             app_encode_app(b,
0.41/0.58	                                                            app_encode_fun(
0.41/0.58	                                                            b,b),Xf2,Xx),
0.41/0.58	                                             Xy)))) & 
0.41/0.58	           (![Xx:g]:
0.41/0.58	              (app_encode_app(g,$o,Xs1,Xx) =>
0.41/0.58	               app_encode_app(b,$o,Xs2,app_encode_app(g,b,Xh1,Xx)))) & 
0.41/0.58	           (![Xx:g,Xy:g]:
0.41/0.58	              ((app_encode_app(g,$o,Xs1,Xx) & app_encode_app(g,$o,Xs1,Xy)) =>
0.41/0.58	               (app_encode_app(g,b,Xh1,
0.41/0.58	                               app_encode_app(g,g,
0.41/0.58	                                              app_encode_app(g,
0.41/0.58	                                                             app_encode_fun(
0.41/0.58	                                                             g,g),Xf1,Xx),
0.41/0.58	                                              Xy)) =
0.41/0.58	                app_encode_app(b,b,
0.41/0.58	                               app_encode_app(b,app_encode_fun(b,b),Xf2,
0.41/0.58	                                              app_encode_app(g,b,Xh1,Xx)),
0.41/0.58	                               app_encode_app(g,b,Xh1,Xy))))) & 
0.41/0.58	           (![Xx:b,Xy:b]:
0.41/0.58	              ((app_encode_app(b,$o,Xs2,Xx) & app_encode_app(b,$o,Xs2,Xy)) =>
0.41/0.58	               app_encode_app(b,$o,Xs2,
0.41/0.58	                              app_encode_app(b,b,
0.41/0.58	                                             app_encode_app(b,
0.41/0.58	                                                            app_encode_fun(
0.41/0.58	                                                            b,b),Xf2,Xx),
0.41/0.58	                                             Xy)))) & 
0.41/0.58	           (![Xx:a,Xy:a]:
0.41/0.58	              ((app_encode_app(a,$o,Xs3,Xx) & app_encode_app(a,$o,Xs3,Xy)) =>
0.41/0.58	               app_encode_app(a,$o,Xs3,
0.41/0.58	                              app_encode_app(a,a,
0.41/0.58	                                             app_encode_app(a,
0.41/0.58	                                                            app_encode_fun(
0.41/0.58	                                                            a,a),Xf3,Xx),
0.41/0.58	                                             Xy)))) & 
0.41/0.58	           (![Xx:b]:
0.41/0.58	              (app_encode_app(b,$o,Xs2,Xx) =>
0.41/0.58	               app_encode_app(a,$o,Xs3,app_encode_app(b,a,Xh2,Xx)))) & 
0.41/0.58	           (![Xx:b,Xy:b]:
0.41/0.58	              ((app_encode_app(b,$o,Xs2,Xx) & app_encode_app(b,$o,Xs2,Xy)) =>
0.41/0.58	               (app_encode_app(b,a,Xh2,
0.41/0.58	                               app_encode_app(b,b,
0.41/0.58	                                              app_encode_app(b,
0.41/0.58	                                                             app_encode_fun(
0.41/0.58	                                                             b,b),Xf2,Xx),
0.41/0.58	                                              Xy)) =
0.41/0.58	                app_encode_app(a,a,
0.41/0.58	                               app_encode_app(a,app_encode_fun(a,a),Xf3,
0.41/0.58	                                              app_encode_app(b,a,Xh2,Xx)),
0.41/0.58	                               app_encode_app(b,a,Xh2,Xy))))))))))).
0.41/0.58	tff('0', plain,
0.41/0.58	    ![X12 : g]:
0.41/0.58	      (app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, X12))
0.41/0.58	       | ~ app_encode_app(g, $o, sk_Xs1, X12)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('1', plain,
0.41/0.58	    ![X17 : b]:
0.41/0.58	      (app_encode_app(a, $o, sk_Xs3, app_encode_app(b, a, sk_Xh2, X17))
0.41/0.58	       | ~ app_encode_app(b, $o, sk_Xs2, X17)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('2', plain,
0.41/0.58	    ![X0 : g]:
0.41/0.58	      (~ $true
0.41/0.58	       | ~ app_encode_app(g, $o, sk_Xs1, X0)
0.41/0.58	       | app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, X0)))),
0.41/0.58	    inference('sup-', [status(thm)], ['0', '1'])).
0.41/0.58	tff('3', plain,
0.41/0.58	    ![X0 : g]:
0.41/0.58	      (app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	         app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, X0)))
0.41/0.58	       | ~ app_encode_app(g, $o, sk_Xs1, X0)),
0.41/0.58	    inference('simplify', [status(thm)], ['2'])).
0.41/0.58	tff('4', plain,
0.41/0.58	    ![X13 : g, X14 : g]:
0.41/0.58	      (~ app_encode_app(g, $o, sk_Xs1, X13)
0.41/0.58	       | ~ app_encode_app(g, $o, sk_Xs1, X14)
0.41/0.58	       | app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, X13), X14))
0.41/0.58	          = app_encode_app(b, b, 
0.41/0.58	              app_encode_app(b, app_encode_fun(b, b), sk_Xf2, 
0.41/0.58	                app_encode_app(g, b, sk_Xh1, X13)), 
0.41/0.58	              app_encode_app(g, b, sk_Xh1, X14))),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('5', plain,
0.41/0.58	    ![X4 : b, X5 : b]:
0.41/0.58	      (~ app_encode_app(b, $o, sk_Xs2, X4)
0.41/0.58	       | ~ app_encode_app(b, $o, sk_Xs2, X5)
0.41/0.58	       | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	           app_encode_app(b, b, 
0.41/0.58	             app_encode_app(b, app_encode_fun(b, b), sk_Xf2, X4), X5))
0.41/0.58	          = app_encode_app(a, a, 
0.41/0.58	              app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	                app_encode_app(b, a, sk_Xh2, X4)), 
0.41/0.58	              app_encode_app(b, a, sk_Xh2, X5))),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('6', plain,
0.41/0.58	    ![X0 : g, X1 : g]:
0.41/0.58	      (app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, X1), X0)))
0.41/0.58	        = app_encode_app(a, a, 
0.41/0.58	            app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	              app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, X1))), 
0.41/0.58	            app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, X0)))
0.41/0.58	       | ~ app_encode_app(g, $o, sk_Xs1, X0)
0.41/0.58	       | ~ app_encode_app(g, $o, sk_Xs1, X1)
0.41/0.58	       | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, X0))
0.41/0.58	       | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, X1))),
0.41/0.58	    inference('sup+', [status(thm)], ['4', '5'])).
0.41/0.58	tff('7', plain,
0.41/0.58	    ![X0 : g, X1 : g]:
0.41/0.58	      (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, X1))
0.41/0.58	       | ~ app_encode_app(g, $o, sk_Xs1, X1)
0.41/0.58	       | ~ app_encode_app(g, $o, sk_Xs1, X0)
0.41/0.58	       | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	           app_encode_app(g, b, sk_Xh1, 
0.41/0.58	             app_encode_app(g, g, 
0.41/0.58	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, X1), X0)))
0.41/0.58	          = app_encode_app(a, a, 
0.41/0.58	              app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	                app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                  app_encode_app(g, b, sk_Xh1, X1))), 
0.41/0.58	              app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, X0)))),
0.41/0.58	    inference('clc', [status(thm)], ['6', '0'])).
0.41/0.58	tff('8', plain,
0.41/0.58	    ![X0 : g, X1 : g]:
0.41/0.58	      (app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, X1), X0)))
0.41/0.58	        = app_encode_app(a, a, 
0.41/0.58	            app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	              app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, X1))), 
0.41/0.58	            app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, X0)))
0.41/0.58	       | ~ app_encode_app(g, $o, sk_Xs1, X0)
0.41/0.58	       | ~ app_encode_app(g, $o, sk_Xs1, X1)),
0.41/0.58	    inference('clc', [status(thm)], ['7', '0'])).
0.41/0.58	tff('9', plain,
0.41/0.58	    ![X8 : g, X9 : g]:
0.41/0.58	      (~ app_encode_app(g, $o, sk_Xs1, X8)
0.41/0.58	       | ~ app_encode_app(g, $o, sk_Xs1, X9)
0.41/0.58	       | app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, X8), X9))),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('10', plain,
0.41/0.58	    ![X6 : a, X7 : a]:
0.41/0.58	      (~ app_encode_app(a, $o, sk_Xs3, X6)
0.41/0.58	       | ~ app_encode_app(a, $o, sk_Xs3, X7)
0.41/0.58	       | app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, X6), X7))),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('11', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('12', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.41/0.58	    inference('sup-', [status(thm)], ['10', '11'])).
0.41/0.58	tff('13', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.41/0.58	    inference('simplify', [status(thm)], ['12'])).
0.41/0.58	tff('14', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('15', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.41/0.58	    inference('sup-', [status(thm)], ['9', '14'])).
0.41/0.58	tff('16', plain,
0.41/0.58	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.41/0.58	    inference('simplify', [status(thm)], ['15'])).
0.41/0.58	tff('17', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('18', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.41/0.58	    inference('sup-', [status(thm)], ['10', '17'])).
0.41/0.58	tff('19', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.41/0.58	    inference('simplify', [status(thm)], ['18'])).
0.41/0.58	tff('20', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('21', plain,
0.41/0.58	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.41/0.58	    inference('clc', [status(thm)], ['19', '20'])).
0.41/0.58	tff('22', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('23', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.41/0.58	    inference('clc', [status(thm)], ['21', '22'])).
0.41/0.58	tff('24', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.41/0.58	    inference('clc', [status(thm)], ['16', '23'])).
0.41/0.58	tff('25', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('26', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.41/0.58	    inference('sup-', [status(thm)], ['10', '25'])).
0.41/0.58	tff('27', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.41/0.58	    inference('simplify', [status(thm)], ['26'])).
0.41/0.58	tff('28', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('29', plain,
0.41/0.58	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.41/0.58	    inference('clc', [status(thm)], ['27', '28'])).
0.41/0.58	tff('30', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('31', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.41/0.58	    inference('clc', [status(thm)], ['29', '30'])).
0.41/0.58	tff('32', plain,
0.41/0.58	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.41/0.58	    inference('clc', [status(thm)], ['24', '31'])).
0.41/0.58	tff('33', plain,
0.41/0.58	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.41/0.58	    inference('clc', [status(thm)], ['13', '32'])).
0.41/0.58	tff('34', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('35', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.41/0.58	    inference('clc', [status(thm)], ['33', '34'])).
0.41/0.58	tff('36', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.41/0.58	    inference('sup-', [status(thm)], ['9', '35'])).
0.41/0.58	tff('37', plain,
0.41/0.58	    (~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	         app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.41/0.58	    inference('simplify', [status(thm)], ['36'])).
0.41/0.58	tff('38', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.41/0.58	    inference('clc', [status(thm)], ['37', '23'])).
0.41/0.58	tff('39', plain,
0.41/0.58	    (~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	         app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.41/0.58	    inference('clc', [status(thm)], ['38', '31'])).
0.41/0.58	tff('40', plain,
0.41/0.58	    (app_encode_app(b, a, sk_Xh2, 
0.41/0.58	       app_encode_app(g, b, sk_Xh1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	      != app_encode_app(b, a, sk_Xh2, 
0.41/0.58	           app_encode_app(g, b, sk_Xh1, 
0.41/0.58	             app_encode_app(g, g, 
0.41/0.58	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.41/0.58	               sk_Xy2)))
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.41/0.58	    inference('sup-', [status(thm)], ['8', '39'])).
0.41/0.58	tff('41', plain,
0.41/0.58	    (~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	         app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('simplify', [status(thm)], ['40'])).
0.41/0.58	tff('42', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('43', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.41/0.58	    inference('sup-', [status(thm)], ['10', '42'])).
0.41/0.58	tff('44', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.41/0.58	    inference('simplify', [status(thm)], ['43'])).
0.41/0.58	tff('45', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('46', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.41/0.58	    inference('sup-', [status(thm)], ['9', '45'])).
0.41/0.58	tff('47', plain,
0.41/0.58	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.41/0.58	    inference('simplify', [status(thm)], ['46'])).
0.41/0.58	tff('48', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('49', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.41/0.58	    inference('sup-', [status(thm)], ['10', '48'])).
0.41/0.58	tff('50', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.41/0.58	    inference('simplify', [status(thm)], ['49'])).
0.41/0.58	tff('51', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('52', plain,
0.41/0.58	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.41/0.58	    inference('clc', [status(thm)], ['50', '51'])).
0.41/0.58	tff('53', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('54', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.41/0.58	    inference('clc', [status(thm)], ['52', '53'])).
0.41/0.58	tff('55', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.41/0.58	    inference('clc', [status(thm)], ['47', '54'])).
0.41/0.58	tff('56', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('57', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.41/0.58	    inference('sup-', [status(thm)], ['10', '56'])).
0.41/0.58	tff('58', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.41/0.58	    inference('simplify', [status(thm)], ['57'])).
0.41/0.58	tff('59', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('60', plain,
0.41/0.58	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.41/0.58	    inference('clc', [status(thm)], ['58', '59'])).
0.41/0.58	tff('61', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('62', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.41/0.58	    inference('clc', [status(thm)], ['60', '61'])).
0.41/0.58	tff('63', plain,
0.41/0.58	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.41/0.58	    inference('clc', [status(thm)], ['55', '62'])).
0.41/0.58	tff('64', plain,
0.41/0.58	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.41/0.58	    inference('clc', [status(thm)], ['44', '63'])).
0.41/0.58	tff('65', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('66', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.41/0.58	    inference('clc', [status(thm)], ['64', '65'])).
0.41/0.58	tff('67', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.41/0.58	    inference('sup-', [status(thm)], ['9', '66'])).
0.41/0.58	tff('68', plain,
0.41/0.58	    (~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	         app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.41/0.58	    inference('simplify', [status(thm)], ['67'])).
0.41/0.58	tff('69', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.41/0.58	    inference('clc', [status(thm)], ['68', '54'])).
0.41/0.58	tff('70', plain,
0.41/0.58	    (~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	         app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.41/0.58	    inference('clc', [status(thm)], ['69', '62'])).
0.41/0.58	tff('71', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.41/0.58	    inference('clc', [status(thm)], ['41', '70'])).
0.41/0.58	tff('72', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('73', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.41/0.58	    inference('sup-', [status(thm)], ['10', '72'])).
0.41/0.58	tff('74', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.41/0.58	    inference('simplify', [status(thm)], ['73'])).
0.41/0.58	tff('75', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('76', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.41/0.58	    inference('sup-', [status(thm)], ['9', '75'])).
0.41/0.58	tff('77', plain,
0.41/0.58	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.41/0.58	    inference('simplify', [status(thm)], ['76'])).
0.41/0.58	tff('78', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('79', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.41/0.58	    inference('sup-', [status(thm)], ['10', '78'])).
0.41/0.58	tff('80', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.41/0.58	    inference('simplify', [status(thm)], ['79'])).
0.41/0.58	tff('81', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('82', plain,
0.41/0.58	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.41/0.58	    inference('clc', [status(thm)], ['80', '81'])).
0.41/0.58	tff('83', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('84', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('clc', [status(thm)], ['82', '83'])).
0.41/0.58	tff('85', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.41/0.58	    inference('clc', [status(thm)], ['77', '84'])).
0.41/0.58	tff('86', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('87', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.41/0.58	    inference('sup-', [status(thm)], ['10', '86'])).
0.41/0.58	tff('88', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.41/0.58	    inference('simplify', [status(thm)], ['87'])).
0.41/0.58	tff('89', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('90', plain,
0.41/0.58	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.41/0.58	    inference('clc', [status(thm)], ['88', '89'])).
0.41/0.58	tff('91', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('92', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('clc', [status(thm)], ['90', '91'])).
0.41/0.58	tff('93', plain,
0.41/0.58	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('clc', [status(thm)], ['85', '92'])).
0.41/0.58	tff('94', plain,
0.41/0.58	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.41/0.58	    inference('clc', [status(thm)], ['74', '93'])).
0.41/0.58	tff('95', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('96', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('clc', [status(thm)], ['94', '95'])).
0.41/0.58	tff('97', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.41/0.58	    inference('sup-', [status(thm)], ['9', '96'])).
0.41/0.58	tff('98', plain,
0.41/0.58	    (~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	         app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.41/0.58	    inference('simplify', [status(thm)], ['97'])).
0.41/0.58	tff('99', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.41/0.58	    inference('clc', [status(thm)], ['98', '84'])).
0.41/0.58	tff('100', plain,
0.41/0.58	    (~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	         app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('clc', [status(thm)], ['99', '92'])).
0.41/0.58	tff('101', plain,
0.41/0.58	    ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	        app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.41/0.58	    inference('clc', [status(thm)], ['71', '100'])).
0.41/0.58	tff('102', plain, (~ $true | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.41/0.58	    inference('sup-', [status(thm)], ['3', '101'])).
0.41/0.58	tff('103', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('104', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.41/0.58	    inference('sup-', [status(thm)], ['10', '103'])).
0.41/0.58	tff('105', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.41/0.58	    inference('simplify', [status(thm)], ['104'])).
0.41/0.58	tff('106', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('107', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.41/0.58	    inference('sup-', [status(thm)], ['9', '106'])).
0.41/0.58	tff('108', plain,
0.41/0.58	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.41/0.58	    inference('simplify', [status(thm)], ['107'])).
0.41/0.58	tff('109', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('110', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.41/0.58	    inference('sup-', [status(thm)], ['10', '109'])).
0.41/0.58	tff('111', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.41/0.58	    inference('simplify', [status(thm)], ['110'])).
0.41/0.58	tff('112', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('113', plain,
0.41/0.58	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.41/0.58	    inference('clc', [status(thm)], ['111', '112'])).
0.41/0.58	tff('114', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('115', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.41/0.58	    inference('clc', [status(thm)], ['113', '114'])).
0.41/0.58	tff('116', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.41/0.58	    inference('clc', [status(thm)], ['108', '115'])).
0.41/0.58	tff('117', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('118', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.41/0.58	    inference('sup-', [status(thm)], ['10', '117'])).
0.41/0.58	tff('119', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.41/0.58	    inference('simplify', [status(thm)], ['118'])).
0.41/0.58	tff('120', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('121', plain,
0.41/0.58	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.41/0.58	    inference('clc', [status(thm)], ['119', '120'])).
0.41/0.58	tff('122', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('123', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.41/0.58	    inference('clc', [status(thm)], ['121', '122'])).
0.41/0.58	tff('124', plain,
0.41/0.58	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.41/0.58	    inference('clc', [status(thm)], ['116', '123'])).
0.41/0.58	tff('125', plain,
0.41/0.58	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.41/0.58	    inference('clc', [status(thm)], ['105', '124'])).
0.41/0.58	tff('126', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('127', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.41/0.58	    inference('clc', [status(thm)], ['125', '126'])).
0.41/0.58	tff('128', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.41/0.58	    inference('sup-', [status(thm)], ['9', '127'])).
0.41/0.58	tff('129', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.41/0.58	    inference('simplify', [status(thm)], ['128'])).
0.41/0.58	tff('130', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.41/0.58	    inference('clc', [status(thm)], ['129', '115'])).
0.41/0.58	tff('131', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(b, a, sk_Xh2, 
0.41/0.58	         app_encode_app(g, b, sk_Xh1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	        != app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.41/0.58	               app_encode_app(b, a, sk_Xh2, 
0.41/0.58	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.41/0.58	             app_encode_app(b, a, sk_Xh2, 
0.41/0.58	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.41/0.58	    inference('clc', [status(thm)], ['130', '123'])).
0.41/0.58	tff('132', plain,
0.41/0.58	    (app_encode_app(b, a, sk_Xh2, 
0.41/0.58	       app_encode_app(g, b, sk_Xh1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.41/0.58	      != app_encode_app(b, a, sk_Xh2, 
0.41/0.58	           app_encode_app(g, b, sk_Xh1, 
0.41/0.58	             app_encode_app(g, g, 
0.41/0.58	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.41/0.58	               sk_Xy2)))
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.41/0.58	    inference('sup-', [status(thm)], ['8', '131'])).
0.41/0.58	tff('133', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('simplify', [status(thm)], ['132'])).
0.41/0.58	tff('134', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('135', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.41/0.58	    inference('sup-', [status(thm)], ['10', '134'])).
0.41/0.58	tff('136', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.41/0.58	    inference('simplify', [status(thm)], ['135'])).
0.41/0.58	tff('137', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('138', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.41/0.58	    inference('sup-', [status(thm)], ['9', '137'])).
0.41/0.58	tff('139', plain,
0.41/0.58	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.41/0.58	    inference('simplify', [status(thm)], ['138'])).
0.41/0.58	tff('140', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('141', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.41/0.58	    inference('sup-', [status(thm)], ['10', '140'])).
0.41/0.58	tff('142', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.41/0.58	    inference('simplify', [status(thm)], ['141'])).
0.41/0.58	tff('143', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('144', plain,
0.41/0.58	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.41/0.58	    inference('clc', [status(thm)], ['142', '143'])).
0.41/0.58	tff('145', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('146', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.41/0.58	    inference('clc', [status(thm)], ['144', '145'])).
0.41/0.58	tff('147', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.41/0.58	    inference('clc', [status(thm)], ['139', '146'])).
0.41/0.58	tff('148', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('149', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.41/0.58	    inference('sup-', [status(thm)], ['10', '148'])).
0.41/0.58	tff('150', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.41/0.58	    inference('simplify', [status(thm)], ['149'])).
0.41/0.58	tff('151', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('152', plain,
0.41/0.58	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.41/0.58	    inference('clc', [status(thm)], ['150', '151'])).
0.41/0.58	tff('153', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('154', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.41/0.58	    inference('clc', [status(thm)], ['152', '153'])).
0.41/0.58	tff('155', plain,
0.41/0.58	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.41/0.58	    inference('clc', [status(thm)], ['147', '154'])).
0.41/0.58	tff('156', plain,
0.41/0.58	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.41/0.58	    inference('clc', [status(thm)], ['136', '155'])).
0.41/0.58	tff('157', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('158', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.41/0.58	    inference('clc', [status(thm)], ['156', '157'])).
0.41/0.58	tff('159', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.41/0.58	    inference('sup-', [status(thm)], ['9', '158'])).
0.41/0.58	tff('160', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.41/0.58	    inference('simplify', [status(thm)], ['159'])).
0.41/0.58	tff('161', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.41/0.58	    inference('clc', [status(thm)], ['160', '146'])).
0.41/0.58	tff('162', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.41/0.58	    inference('clc', [status(thm)], ['161', '154'])).
0.41/0.58	tff('163', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.41/0.58	    inference('clc', [status(thm)], ['133', '162'])).
0.41/0.58	tff('164', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('165', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.41/0.58	    inference('sup-', [status(thm)], ['10', '164'])).
0.41/0.58	tff('166', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.41/0.58	    inference('simplify', [status(thm)], ['165'])).
0.41/0.58	tff('167', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('168', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.41/0.58	    inference('sup-', [status(thm)], ['9', '167'])).
0.41/0.58	tff('169', plain,
0.41/0.58	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.41/0.58	    inference('simplify', [status(thm)], ['168'])).
0.41/0.58	tff('170', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('171', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.41/0.58	    inference('sup-', [status(thm)], ['10', '170'])).
0.41/0.58	tff('172', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.41/0.58	    inference('simplify', [status(thm)], ['171'])).
0.41/0.58	tff('173', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('174', plain,
0.41/0.58	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.41/0.58	    inference('clc', [status(thm)], ['172', '173'])).
0.41/0.58	tff('175', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('176', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('clc', [status(thm)], ['174', '175'])).
0.41/0.58	tff('177', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.41/0.58	    inference('clc', [status(thm)], ['169', '176'])).
0.41/0.58	tff('178', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.41/0.58	           app_encode_app(a, a, 
0.41/0.58	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('179', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.41/0.58	    inference('sup-', [status(thm)], ['10', '178'])).
0.41/0.58	tff('180', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.41/0.58	    inference('simplify', [status(thm)], ['179'])).
0.41/0.58	tff('181', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('182', plain,
0.41/0.58	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.41/0.58	    inference('clc', [status(thm)], ['180', '181'])).
0.41/0.58	tff('183', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('184', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('clc', [status(thm)], ['182', '183'])).
0.41/0.58	tff('185', plain,
0.41/0.58	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('clc', [status(thm)], ['177', '184'])).
0.41/0.58	tff('186', plain,
0.41/0.58	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	           app_encode_app(g, g, 
0.41/0.58	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.41/0.58	    inference('clc', [status(thm)], ['166', '185'])).
0.41/0.58	tff('187', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.58	tff('188', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, 
0.41/0.58	         app_encode_app(g, g, 
0.41/0.58	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('clc', [status(thm)], ['186', '187'])).
0.41/0.58	tff('189', plain,
0.41/0.58	    (~ $true
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.41/0.58	    inference('sup-', [status(thm)], ['9', '188'])).
0.41/0.58	tff('190', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.41/0.58	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.41/0.58	    inference('simplify', [status(thm)], ['189'])).
0.41/0.58	tff('191', plain,
0.41/0.58	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.41/0.58	    inference('clc', [status(thm)], ['190', '176'])).
0.41/0.58	tff('192', plain,
0.41/0.58	    (app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.41/0.58	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.41/0.58	    inference('clc', [status(thm)], ['191', '184'])).
0.41/0.58	tff('193', plain, app_encode_app(g, $o, sk_Xs1, sk_Xx2),
0.41/0.58	    inference('clc', [status(thm)], ['163', '192'])).
0.41/0.58	tff('194', plain, (~ $true | ~ $true),
0.41/0.58	    inference('demod', [status(thm)], ['102', '193'])).
0.41/0.58	tff('195', plain, $false, inference('simplify', [status(thm)], ['194'])).
0.41/0.58	
0.41/0.58	% SZS output end Refutation
0.41/0.58	EOF
