0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : appext
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : rpo6
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n186.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 15:49:39 CST 2018
0.00/0.59	% done 221 iterations in 0.386s
0.00/0.59	% SZS status Theorem for 'stdin'
0.00/0.59	% SZS output start Refutation
0.42/0.60	tff(zf_stmt_6, conjecture,
0.42/0.60	  (![Xh1:app_encode_fun(g,b),Xh2:app_encode_fun(b,a),
0.42/0.60	     Xs1:app_encode_fun(g,$o),Xf1:app_encode_fun(g,app_encode_fun(g,g)),
0.42/0.60	     Xs2:app_encode_fun(b,$o),Xf2:app_encode_fun(b,app_encode_fun(b,b)),
0.42/0.60	     Xs3:app_encode_fun(a,$o),Xf3:app_encode_fun(a,app_encode_fun(a,a))]:
0.42/0.60	     (((![Xx:g,Xy:g]:
0.42/0.60	          ((app_encode_app(g,$o,Xs1,Xx) & app_encode_app(g,$o,Xs1,Xy)) =>
0.42/0.60	           app_encode_app(g,$o,Xs1,
0.42/0.60	                          app_encode_app(g,g,
0.42/0.60	                                         app_encode_app(g,
0.42/0.60	                                                        app_encode_fun(g,g),
0.42/0.60	                                                        Xf1,Xx),
0.42/0.60	                                         Xy)))) & 
0.42/0.60	       (![Xx:b,Xy:b]:
0.42/0.60	          ((app_encode_app(b,$o,Xs2,Xx) & app_encode_app(b,$o,Xs2,Xy)) =>
0.42/0.60	           app_encode_app(b,$o,Xs2,
0.42/0.60	                          app_encode_app(b,b,
0.42/0.60	                                         app_encode_app(b,
0.42/0.60	                                                        app_encode_fun(b,b),
0.42/0.60	                                                        Xf2,Xx),
0.42/0.60	                                         Xy)))) & 
0.42/0.60	       (![Xx:g]:
0.42/0.60	          (app_encode_app(g,$o,Xs1,Xx) =>
0.42/0.60	           app_encode_app(b,$o,Xs2,app_encode_app(g,b,Xh1,Xx)))) & 
0.42/0.60	       (![Xx:g,Xy:g]:
0.42/0.60	          ((app_encode_app(g,$o,Xs1,Xx) & app_encode_app(g,$o,Xs1,Xy)) =>
0.42/0.60	           (app_encode_app(g,b,Xh1,
0.42/0.60	                           app_encode_app(g,g,
0.42/0.60	                                          app_encode_app(g,
0.42/0.60	                                                         app_encode_fun(g,g),
0.42/0.60	                                                         Xf1,Xx),
0.42/0.60	                                          Xy)) =
0.42/0.60	            app_encode_app(b,b,
0.42/0.60	                           app_encode_app(b,app_encode_fun(b,b),Xf2,
0.42/0.60	                                          app_encode_app(g,b,Xh1,Xx)),
0.42/0.60	                           app_encode_app(g,b,Xh1,Xy))))) & 
0.42/0.60	       (![Xx:b,Xy:b]:
0.42/0.60	          ((app_encode_app(b,$o,Xs2,Xx) & app_encode_app(b,$o,Xs2,Xy)) =>
0.42/0.60	           app_encode_app(b,$o,Xs2,
0.42/0.60	                          app_encode_app(b,b,
0.42/0.60	                                         app_encode_app(b,
0.42/0.60	                                                        app_encode_fun(b,b),
0.42/0.60	                                                        Xf2,Xx),
0.42/0.60	                                         Xy)))) & 
0.42/0.60	       (![Xx:a,Xy:a]:
0.42/0.60	          ((app_encode_app(a,$o,Xs3,Xx) & app_encode_app(a,$o,Xs3,Xy)) =>
0.42/0.60	           app_encode_app(a,$o,Xs3,
0.42/0.60	                          app_encode_app(a,a,
0.42/0.60	                                         app_encode_app(a,
0.42/0.60	                                                        app_encode_fun(a,a),
0.42/0.60	                                                        Xf3,Xx),
0.42/0.60	                                         Xy)))) & 
0.42/0.60	       (![Xx:b]:
0.42/0.60	          (app_encode_app(b,$o,Xs2,Xx) =>
0.42/0.60	           app_encode_app(a,$o,Xs3,app_encode_app(b,a,Xh2,Xx)))) & 
0.42/0.60	       (![Xx:b,Xy:b]:
0.42/0.60	          ((app_encode_app(b,$o,Xs2,Xx) & app_encode_app(b,$o,Xs2,Xy)) =>
0.42/0.60	           (app_encode_app(b,a,Xh2,
0.42/0.60	                           app_encode_app(b,b,
0.42/0.60	                                          app_encode_app(b,
0.42/0.60	                                                         app_encode_fun(b,b),
0.42/0.60	                                                         Xf2,Xx),
0.42/0.60	                                          Xy)) =
0.42/0.60	            app_encode_app(a,a,
0.42/0.60	                           app_encode_app(a,app_encode_fun(a,a),Xf3,
0.42/0.60	                                          app_encode_app(b,a,Xh2,Xx)),
0.42/0.60	                           app_encode_app(b,a,Xh2,Xy)))))) =>
0.42/0.60	      ((![Xx:g,Xy:g]:
0.42/0.60	          ((app_encode_app(g,$o,Xs1,Xx) & app_encode_app(g,$o,Xs1,Xy)) =>
0.42/0.60	           app_encode_app(g,$o,Xs1,
0.42/0.60	                          app_encode_app(g,g,
0.42/0.60	                                         app_encode_app(g,
0.42/0.60	                                                        app_encode_fun(g,g),
0.42/0.60	                                                        Xf1,Xx),
0.42/0.60	                                         Xy)))) & 
0.42/0.60	       (![Xx:a,Xy:a]:
0.42/0.60	          ((app_encode_app(a,$o,Xs3,Xx) & app_encode_app(a,$o,Xs3,Xy)) =>
0.42/0.60	           app_encode_app(a,$o,Xs3,
0.42/0.60	                          app_encode_app(a,a,
0.42/0.60	                                         app_encode_app(a,
0.42/0.60	                                                        app_encode_fun(a,a),
0.42/0.60	                                                        Xf3,Xx),
0.42/0.60	                                         Xy)))) & 
0.42/0.60	       (![Xx:g]:
0.42/0.60	          (app_encode_app(g,$o,Xs1,Xx) =>
0.42/0.60	           app_encode_app(a,$o,Xs3,
0.42/0.60	                          app_encode_app(b,a,Xh2,app_encode_app(g,b,Xh1,Xx))))) & 
0.42/0.60	       (![Xx:g,Xy:g]:
0.42/0.60	          ((app_encode_app(g,$o,Xs1,Xx) & app_encode_app(g,$o,Xs1,Xy) & 
0.42/0.60	            app_encode_app(g,$o,Xs1,Xx) & app_encode_app(g,$o,Xs1,Xy)) =>
0.42/0.60	           (app_encode_app(b,a,Xh2,
0.42/0.60	                           app_encode_app(g,b,Xh1,
0.42/0.60	                                          app_encode_app(g,g,
0.42/0.60	                                                         app_encode_app(
0.42/0.60	                                                         g,
0.42/0.60	                                                         app_encode_fun(g,g),
0.42/0.60	                                                         Xf1,Xx),Xy))) =
0.42/0.60	            app_encode_app(a,a,
0.42/0.60	                           app_encode_app(a,app_encode_fun(a,a),Xf3,
0.42/0.60	                                          app_encode_app(b,a,Xh2,
0.42/0.60	                                                         app_encode_app(
0.42/0.60	                                                         g,b,Xh1,Xx))),
0.42/0.60	                           app_encode_app(b,a,Xh2,app_encode_app(g,b,Xh1,Xy)))))))))).
0.42/0.60	tff(zf_stmt_0, negated_conjecture,
0.42/0.60	  (~
0.42/0.60	    (![Xh1:app_encode_fun(g,b),Xh2:app_encode_fun(b,a),
0.42/0.60	       Xs1:app_encode_fun(g,$o),Xf1:app_encode_fun(g,app_encode_fun(g,g)),
0.42/0.60	       Xs2:app_encode_fun(b,$o),Xf2:app_encode_fun(b,app_encode_fun(b,b)),
0.42/0.60	       Xs3:app_encode_fun(a,$o),Xf3:app_encode_fun(a,app_encode_fun(a,a))]:
0.42/0.60	       (((![Xx:g,Xy:g]:
0.42/0.60	            ((app_encode_app(g,$o,Xs1,Xx) & app_encode_app(g,$o,Xs1,Xy)) =>
0.42/0.60	             app_encode_app(g,$o,Xs1,
0.42/0.60	                            app_encode_app(g,g,
0.42/0.60	                                           app_encode_app(g,
0.42/0.60	                                                          app_encode_fun(g,g),
0.42/0.60	                                                          Xf1,Xx),
0.42/0.60	                                           Xy)))) & 
0.42/0.60	         (![Xx:b,Xy:b]:
0.42/0.60	            ((app_encode_app(b,$o,Xs2,Xx) & app_encode_app(b,$o,Xs2,Xy)) =>
0.42/0.60	             app_encode_app(b,$o,Xs2,
0.42/0.60	                            app_encode_app(b,b,
0.42/0.60	                                           app_encode_app(b,
0.42/0.60	                                                          app_encode_fun(b,b),
0.42/0.60	                                                          Xf2,Xx),
0.42/0.60	                                           Xy)))) & 
0.42/0.60	         (![Xx:g]:
0.42/0.60	            (app_encode_app(g,$o,Xs1,Xx) =>
0.42/0.60	             app_encode_app(b,$o,Xs2,app_encode_app(g,b,Xh1,Xx)))) & 
0.42/0.60	         (![Xx:g,Xy:g]:
0.42/0.60	            ((app_encode_app(g,$o,Xs1,Xx) & app_encode_app(g,$o,Xs1,Xy)) =>
0.42/0.60	             (app_encode_app(g,b,Xh1,
0.42/0.60	                             app_encode_app(g,g,
0.42/0.60	                                            app_encode_app(g,
0.42/0.60	                                                           app_encode_fun(
0.42/0.60	                                                           g,g),Xf1,Xx),
0.42/0.60	                                            Xy)) =
0.42/0.60	              app_encode_app(b,b,
0.42/0.60	                             app_encode_app(b,app_encode_fun(b,b),Xf2,
0.42/0.60	                                            app_encode_app(g,b,Xh1,Xx)),
0.42/0.60	                             app_encode_app(g,b,Xh1,Xy))))) & 
0.42/0.60	         (![Xx:b,Xy:b]:
0.42/0.60	            ((app_encode_app(b,$o,Xs2,Xx) & app_encode_app(b,$o,Xs2,Xy)) =>
0.42/0.60	             app_encode_app(b,$o,Xs2,
0.42/0.60	                            app_encode_app(b,b,
0.42/0.60	                                           app_encode_app(b,
0.42/0.60	                                                          app_encode_fun(b,b),
0.42/0.60	                                                          Xf2,Xx),
0.42/0.60	                                           Xy)))) & 
0.42/0.60	         (![Xx:a,Xy:a]:
0.42/0.60	            ((app_encode_app(a,$o,Xs3,Xx) & app_encode_app(a,$o,Xs3,Xy)) =>
0.42/0.60	             app_encode_app(a,$o,Xs3,
0.42/0.60	                            app_encode_app(a,a,
0.42/0.60	                                           app_encode_app(a,
0.42/0.60	                                                          app_encode_fun(a,a),
0.42/0.60	                                                          Xf3,Xx),
0.42/0.60	                                           Xy)))) & 
0.42/0.60	         (![Xx:b]:
0.42/0.60	            (app_encode_app(b,$o,Xs2,Xx) =>
0.42/0.60	             app_encode_app(a,$o,Xs3,app_encode_app(b,a,Xh2,Xx)))) & 
0.42/0.60	         (![Xx:b,Xy:b]:
0.42/0.60	            ((app_encode_app(b,$o,Xs2,Xx) & app_encode_app(b,$o,Xs2,Xy)) =>
0.42/0.60	             (app_encode_app(b,a,Xh2,
0.42/0.60	                             app_encode_app(b,b,
0.42/0.60	                                            app_encode_app(b,
0.42/0.60	                                                           app_encode_fun(
0.42/0.60	                                                           b,b),Xf2,Xx),
0.42/0.60	                                            Xy)) =
0.42/0.60	              app_encode_app(a,a,
0.42/0.60	                             app_encode_app(a,app_encode_fun(a,a),Xf3,
0.42/0.60	                                            app_encode_app(b,a,Xh2,Xx)),
0.42/0.60	                             app_encode_app(b,a,Xh2,Xy)))))) =>
0.42/0.60	        ((![Xx:g,Xy:g]:
0.42/0.60	            ((app_encode_app(g,$o,Xs1,Xx) & app_encode_app(g,$o,Xs1,Xy)) =>
0.42/0.60	             app_encode_app(g,$o,Xs1,
0.42/0.60	                            app_encode_app(g,g,
0.42/0.60	                                           app_encode_app(g,
0.42/0.60	                                                          app_encode_fun(g,g),
0.42/0.60	                                                          Xf1,Xx),
0.42/0.60	                                           Xy)))) & 
0.42/0.60	         (![Xx:a,Xy:a]:
0.42/0.60	            ((app_encode_app(a,$o,Xs3,Xx) & app_encode_app(a,$o,Xs3,Xy)) =>
0.42/0.60	             app_encode_app(a,$o,Xs3,
0.42/0.60	                            app_encode_app(a,a,
0.42/0.60	                                           app_encode_app(a,
0.42/0.60	                                                          app_encode_fun(a,a),
0.42/0.60	                                                          Xf3,Xx),
0.42/0.60	                                           Xy)))) & 
0.42/0.60	         (![Xx:g]:
0.42/0.60	            (app_encode_app(g,$o,Xs1,Xx) =>
0.42/0.60	             app_encode_app(a,$o,Xs3,
0.42/0.60	                            app_encode_app(b,a,Xh2,app_encode_app(g,b,Xh1,Xx))))) & 
0.42/0.60	         (![Xx:g,Xy:g]:
0.42/0.60	            ((app_encode_app(g,$o,Xs1,Xx) & app_encode_app(g,$o,Xs1,Xy) & 
0.42/0.60	              app_encode_app(g,$o,Xs1,Xx) & app_encode_app(g,$o,Xs1,Xy)) =>
0.42/0.60	             (app_encode_app(b,a,Xh2,
0.42/0.60	                             app_encode_app(g,b,Xh1,
0.42/0.60	                                            app_encode_app(g,g,
0.42/0.60	                                                           app_encode_app(
0.42/0.60	                                                           g,
0.42/0.60	                                                           app_encode_fun(
0.42/0.60	                                                           g,g),Xf1,Xx),Xy))) =
0.42/0.60	              app_encode_app(a,a,
0.42/0.60	                             app_encode_app(a,app_encode_fun(a,a),Xf3,
0.42/0.60	                                            app_encode_app(b,a,Xh2,
0.42/0.60	                                                           app_encode_app(
0.42/0.60	                                                           g,b,Xh1,Xx))),
0.42/0.60	                             app_encode_app(b,a,Xh2,
0.42/0.60	                                            app_encode_app(g,b,Xh1,Xy))))))))))).
0.42/0.60	tff('0', plain,
0.42/0.60	    ![X12 : g]:
0.42/0.60	      (app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, X12))
0.42/0.60	       | ~ app_encode_app(g, $o, sk_Xs1, X12)),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('1', plain,
0.42/0.60	    ![X17 : b]:
0.42/0.60	      (app_encode_app(a, $o, sk_Xs3, app_encode_app(b, a, sk_Xh2, X17))
0.42/0.60	       | ~ app_encode_app(b, $o, sk_Xs2, X17)),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('2', plain,
0.42/0.60	    ![X0 : g]:
0.42/0.60	      (~ $true
0.42/0.60	       | ~ app_encode_app(g, $o, sk_Xs1, X0)
0.42/0.60	       | app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, X0)))),
0.42/0.60	    inference('sup-', [status(thm)], ['0', '1'])).
0.42/0.60	tff('3', plain,
0.42/0.60	    ![X0 : g]:
0.42/0.60	      (app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	         app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, X0)))
0.42/0.60	       | ~ app_encode_app(g, $o, sk_Xs1, X0)),
0.42/0.60	    inference('simplify', [status(thm)], ['2'])).
0.42/0.60	tff('4', plain,
0.42/0.60	    ![X8 : g, X9 : g]:
0.42/0.60	      (~ app_encode_app(g, $o, sk_Xs1, X8)
0.42/0.60	       | ~ app_encode_app(g, $o, sk_Xs1, X9)
0.42/0.60	       | app_encode_app(g, $o, sk_Xs1, 
0.42/0.60	           app_encode_app(g, g, 
0.42/0.60	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, X8), X9))),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('5', plain,
0.42/0.60	    ![X13 : g, X14 : g]:
0.42/0.60	      (~ app_encode_app(g, $o, sk_Xs1, X13)
0.42/0.60	       | ~ app_encode_app(g, $o, sk_Xs1, X14)
0.42/0.60	       | app_encode_app(g, b, sk_Xh1, 
0.42/0.60	           app_encode_app(g, g, 
0.42/0.60	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, X13), X14))
0.42/0.60	          = app_encode_app(b, b, 
0.42/0.60	              app_encode_app(b, app_encode_fun(b, b), sk_Xf2, 
0.42/0.60	                app_encode_app(g, b, sk_Xh1, X13)), 
0.42/0.60	              app_encode_app(g, b, sk_Xh1, X14))),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('6', plain,
0.42/0.60	    ![X4 : b, X5 : b]:
0.42/0.60	      (~ app_encode_app(b, $o, sk_Xs2, X4)
0.42/0.60	       | ~ app_encode_app(b, $o, sk_Xs2, X5)
0.42/0.60	       | app_encode_app(b, a, sk_Xh2, 
0.42/0.60	           app_encode_app(b, b, 
0.42/0.60	             app_encode_app(b, app_encode_fun(b, b), sk_Xf2, X4), X5))
0.42/0.60	          = app_encode_app(a, a, 
0.42/0.60	              app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.60	                app_encode_app(b, a, sk_Xh2, X4)), 
0.42/0.60	              app_encode_app(b, a, sk_Xh2, X5))),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('7', plain,
0.42/0.60	    ![X0 : g, X1 : g]:
0.42/0.60	      (app_encode_app(b, a, sk_Xh2, 
0.42/0.60	         app_encode_app(g, b, sk_Xh1, 
0.42/0.60	           app_encode_app(g, g, 
0.42/0.60	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, X1), X0)))
0.42/0.60	        = app_encode_app(a, a, 
0.42/0.60	            app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.60	              app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, X1))), 
0.42/0.60	            app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, X0)))
0.42/0.60	       | ~ app_encode_app(g, $o, sk_Xs1, X0)
0.42/0.60	       | ~ app_encode_app(g, $o, sk_Xs1, X1)
0.42/0.60	       | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, X0))
0.42/0.60	       | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, X1))),
0.42/0.60	    inference('sup+', [status(thm)], ['5', '6'])).
0.42/0.60	tff('8', plain,
0.42/0.60	    ![X0 : g, X1 : g]:
0.42/0.60	      (~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, X1))
0.42/0.60	       | ~ app_encode_app(g, $o, sk_Xs1, X1)
0.42/0.60	       | ~ app_encode_app(g, $o, sk_Xs1, X0)
0.42/0.60	       | app_encode_app(b, a, sk_Xh2, 
0.42/0.60	           app_encode_app(g, b, sk_Xh1, 
0.42/0.60	             app_encode_app(g, g, 
0.42/0.60	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, X1), X0)))
0.42/0.60	          = app_encode_app(a, a, 
0.42/0.60	              app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.60	                app_encode_app(b, a, sk_Xh2, 
0.42/0.60	                  app_encode_app(g, b, sk_Xh1, X1))), 
0.42/0.60	              app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, X0)))),
0.42/0.60	    inference('clc', [status(thm)], ['7', '0'])).
0.42/0.60	tff('9', plain,
0.42/0.60	    ![X0 : g, X1 : g]:
0.42/0.60	      (app_encode_app(b, a, sk_Xh2, 
0.42/0.60	         app_encode_app(g, b, sk_Xh1, 
0.42/0.60	           app_encode_app(g, g, 
0.42/0.60	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, X1), X0)))
0.42/0.60	        = app_encode_app(a, a, 
0.42/0.60	            app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.60	              app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, X1))), 
0.42/0.60	            app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, X0)))
0.42/0.60	       | ~ app_encode_app(g, $o, sk_Xs1, X0)
0.42/0.60	       | ~ app_encode_app(g, $o, sk_Xs1, X1)),
0.42/0.60	    inference('clc', [status(thm)], ['8', '0'])).
0.42/0.60	tff('10', plain,
0.42/0.60	    ![X6 : a, X7 : a]:
0.42/0.60	      (~ app_encode_app(a, $o, sk_Xs3, X6)
0.42/0.60	       | ~ app_encode_app(a, $o, sk_Xs3, X7)
0.42/0.60	       | app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(a, a, 
0.42/0.60	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, X6), X7))),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('11', plain,
0.42/0.60	    (~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.60	         app_encode_app(g, g, 
0.42/0.60	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(a, a, 
0.42/0.60	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(b, a, sk_Xh2, 
0.42/0.60	         app_encode_app(g, b, sk_Xh1, 
0.42/0.60	           app_encode_app(g, g, 
0.42/0.60	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.60	        != app_encode_app(a, a, 
0.42/0.60	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.60	               app_encode_app(b, a, sk_Xh2, 
0.42/0.60	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.42/0.60	             app_encode_app(b, a, sk_Xh2, 
0.42/0.60	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('12', plain,
0.42/0.60	    (~ $true
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | app_encode_app(b, a, sk_Xh2, 
0.42/0.60	         app_encode_app(g, b, sk_Xh1, 
0.42/0.60	           app_encode_app(g, g, 
0.42/0.60	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.60	        != app_encode_app(a, a, 
0.42/0.60	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.60	               app_encode_app(b, a, sk_Xh2, 
0.42/0.60	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.42/0.60	             app_encode_app(b, a, sk_Xh2, 
0.42/0.60	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.60	           app_encode_app(g, g, 
0.42/0.60	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.42/0.60	    inference('sup-', [status(thm)], ['10', '11'])).
0.42/0.60	tff('13', plain,
0.42/0.60	    (~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.60	         app_encode_app(g, g, 
0.42/0.60	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(b, a, sk_Xh2, 
0.42/0.60	         app_encode_app(g, b, sk_Xh1, 
0.42/0.60	           app_encode_app(g, g, 
0.42/0.60	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.60	        != app_encode_app(a, a, 
0.42/0.60	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.60	               app_encode_app(b, a, sk_Xh2, 
0.42/0.60	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.42/0.60	             app_encode_app(b, a, sk_Xh2, 
0.42/0.60	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.42/0.60	    inference('simplify', [status(thm)], ['12'])).
0.42/0.60	tff('14', plain,
0.42/0.60	    (~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.60	         app_encode_app(g, g, 
0.42/0.60	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(b, a, sk_Xh2, 
0.42/0.60	         app_encode_app(g, b, sk_Xh1, 
0.42/0.60	           app_encode_app(g, g, 
0.42/0.60	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.60	        != app_encode_app(a, a, 
0.42/0.60	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.60	               app_encode_app(b, a, sk_Xh2, 
0.42/0.60	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.42/0.60	             app_encode_app(b, a, sk_Xh2, 
0.42/0.60	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('15', plain,
0.42/0.60	    (app_encode_app(b, a, sk_Xh2, 
0.42/0.60	       app_encode_app(g, b, sk_Xh1, 
0.42/0.60	         app_encode_app(g, g, 
0.42/0.60	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.60	      != app_encode_app(b, a, sk_Xh2, 
0.42/0.60	           app_encode_app(g, b, sk_Xh1, 
0.42/0.60	             app_encode_app(g, g, 
0.42/0.60	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.42/0.60	               sk_Xy2)))
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.60	           app_encode_app(g, g, 
0.42/0.60	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.42/0.60	    inference('sup-', [status(thm)], ['9', '14'])).
0.42/0.60	tff('16', plain,
0.42/0.60	    (~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.60	         app_encode_app(g, g, 
0.42/0.60	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.42/0.60	    inference('simplify', [status(thm)], ['15'])).
0.42/0.60	tff('17', plain,
0.42/0.60	    (~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.60	         app_encode_app(g, g, 
0.42/0.60	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(a, a, 
0.42/0.60	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('18', plain,
0.42/0.60	    (~ $true
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.60	           app_encode_app(g, g, 
0.42/0.60	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.42/0.60	    inference('sup-', [status(thm)], ['10', '17'])).
0.42/0.60	tff('19', plain,
0.42/0.60	    (~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.60	         app_encode_app(g, g, 
0.42/0.60	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.42/0.60	    inference('simplify', [status(thm)], ['18'])).
0.42/0.60	tff('20', plain,
0.42/0.60	    (~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.60	         app_encode_app(g, g, 
0.42/0.60	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('21', plain,
0.42/0.60	    (~ $true
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.42/0.60	    inference('sup-', [status(thm)], ['4', '20'])).
0.42/0.60	tff('22', plain,
0.42/0.60	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.42/0.60	    inference('simplify', [status(thm)], ['21'])).
0.42/0.60	tff('23', plain,
0.42/0.60	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(a, a, 
0.42/0.60	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('24', plain,
0.42/0.60	    (~ $true
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.42/0.60	    inference('sup-', [status(thm)], ['10', '23'])).
0.42/0.60	tff('25', plain,
0.42/0.60	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.42/0.60	    inference('simplify', [status(thm)], ['24'])).
0.42/0.60	tff('26', plain,
0.42/0.60	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('27', plain,
0.42/0.60	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.42/0.60	    inference('clc', [status(thm)], ['25', '26'])).
0.42/0.60	tff('28', plain,
0.42/0.60	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('29', plain,
0.42/0.60	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.42/0.60	    inference('clc', [status(thm)], ['27', '28'])).
0.42/0.60	tff('30', plain,
0.42/0.60	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.42/0.60	    inference('clc', [status(thm)], ['22', '29'])).
0.42/0.60	tff('31', plain,
0.42/0.60	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(a, a, 
0.42/0.60	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('32', plain,
0.42/0.60	    (~ $true
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.42/0.60	    inference('sup-', [status(thm)], ['10', '31'])).
0.42/0.60	tff('33', plain,
0.42/0.60	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.42/0.60	    inference('simplify', [status(thm)], ['32'])).
0.42/0.60	tff('34', plain,
0.42/0.60	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('35', plain,
0.42/0.60	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.42/0.60	    inference('clc', [status(thm)], ['33', '34'])).
0.42/0.60	tff('36', plain,
0.42/0.60	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('37', plain,
0.42/0.60	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.42/0.60	    inference('clc', [status(thm)], ['35', '36'])).
0.42/0.60	tff('38', plain,
0.42/0.60	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.42/0.60	    inference('clc', [status(thm)], ['30', '37'])).
0.42/0.60	tff('39', plain,
0.42/0.60	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.60	           app_encode_app(g, g, 
0.42/0.60	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.42/0.60	    inference('clc', [status(thm)], ['19', '38'])).
0.42/0.60	tff('40', plain,
0.42/0.60	    (~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.60	         app_encode_app(g, g, 
0.42/0.60	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('41', plain,
0.42/0.60	    (~ $true
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.42/0.60	    inference('sup-', [status(thm)], ['4', '40'])).
0.42/0.60	tff('42', plain,
0.42/0.60	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.42/0.60	    inference('simplify', [status(thm)], ['41'])).
0.42/0.60	tff('43', plain,
0.42/0.60	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.42/0.60	    inference('clc', [status(thm)], ['42', '29'])).
0.42/0.60	tff('44', plain,
0.42/0.60	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.42/0.60	    inference('clc', [status(thm)], ['43', '37'])).
0.42/0.60	tff('45', plain,
0.42/0.60	    (~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.60	         app_encode_app(g, g, 
0.42/0.60	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.42/0.60	    inference('clc', [status(thm)], ['39', '44'])).
0.42/0.60	tff('46', plain,
0.42/0.60	    (~ $true
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.42/0.60	    inference('sup-', [status(thm)], ['4', '45'])).
0.42/0.60	tff('47', plain,
0.42/0.60	    (~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	         app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.42/0.60	    inference('simplify', [status(thm)], ['46'])).
0.42/0.60	tff('48', plain,
0.42/0.60	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.42/0.60	    inference('clc', [status(thm)], ['47', '29'])).
0.42/0.60	tff('49', plain,
0.42/0.60	    (~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	         app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.42/0.60	    inference('clc', [status(thm)], ['48', '37'])).
0.42/0.60	tff('50', plain,
0.42/0.60	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.60	           app_encode_app(g, g, 
0.42/0.60	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.42/0.60	    inference('clc', [status(thm)], ['16', '49'])).
0.42/0.60	tff('51', plain,
0.42/0.60	    (~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.60	         app_encode_app(g, g, 
0.42/0.60	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(a, a, 
0.42/0.60	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('52', plain,
0.42/0.60	    (~ $true
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.60	           app_encode_app(g, g, 
0.42/0.60	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.42/0.60	    inference('sup-', [status(thm)], ['10', '51'])).
0.42/0.60	tff('53', plain,
0.42/0.60	    (~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.60	         app_encode_app(g, g, 
0.42/0.60	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.42/0.60	    inference('simplify', [status(thm)], ['52'])).
0.42/0.60	tff('54', plain,
0.42/0.60	    (~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.60	         app_encode_app(g, g, 
0.42/0.60	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('55', plain,
0.42/0.60	    (~ $true
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.42/0.60	    inference('sup-', [status(thm)], ['4', '54'])).
0.42/0.60	tff('56', plain,
0.42/0.60	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.42/0.60	    inference('simplify', [status(thm)], ['55'])).
0.42/0.60	tff('57', plain,
0.42/0.60	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(a, a, 
0.42/0.60	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('58', plain,
0.42/0.60	    (~ $true
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.42/0.60	    inference('sup-', [status(thm)], ['10', '57'])).
0.42/0.60	tff('59', plain,
0.42/0.60	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.42/0.60	    inference('simplify', [status(thm)], ['58'])).
0.42/0.60	tff('60', plain,
0.42/0.60	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('61', plain,
0.42/0.60	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.42/0.60	    inference('clc', [status(thm)], ['59', '60'])).
0.42/0.60	tff('62', plain,
0.42/0.60	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('63', plain,
0.42/0.60	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.42/0.60	    inference('clc', [status(thm)], ['61', '62'])).
0.42/0.60	tff('64', plain,
0.42/0.60	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.42/0.60	    inference('clc', [status(thm)], ['56', '63'])).
0.42/0.60	tff('65', plain,
0.42/0.60	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(a, a, 
0.42/0.60	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('66', plain,
0.42/0.60	    (~ $true
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.42/0.60	    inference('sup-', [status(thm)], ['10', '65'])).
0.42/0.60	tff('67', plain,
0.42/0.60	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.42/0.60	    inference('simplify', [status(thm)], ['66'])).
0.42/0.60	tff('68', plain,
0.42/0.60	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('69', plain,
0.42/0.60	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.42/0.60	    inference('clc', [status(thm)], ['67', '68'])).
0.42/0.60	tff('70', plain,
0.42/0.60	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('71', plain,
0.42/0.60	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.42/0.60	    inference('clc', [status(thm)], ['69', '70'])).
0.42/0.60	tff('72', plain,
0.42/0.60	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.42/0.60	    inference('clc', [status(thm)], ['64', '71'])).
0.42/0.60	tff('73', plain,
0.42/0.60	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.60	           app_encode_app(g, g, 
0.42/0.60	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.42/0.60	    inference('clc', [status(thm)], ['53', '72'])).
0.42/0.60	tff('74', plain,
0.42/0.60	    (~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.60	         app_encode_app(g, g, 
0.42/0.60	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('75', plain,
0.42/0.60	    (~ $true
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.42/0.60	    inference('sup-', [status(thm)], ['4', '74'])).
0.42/0.60	tff('76', plain,
0.42/0.60	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.42/0.60	    inference('simplify', [status(thm)], ['75'])).
0.42/0.60	tff('77', plain,
0.42/0.60	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.42/0.60	    inference('clc', [status(thm)], ['76', '63'])).
0.42/0.60	tff('78', plain,
0.42/0.60	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.42/0.60	    inference('clc', [status(thm)], ['77', '71'])).
0.42/0.60	tff('79', plain,
0.42/0.60	    (~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.60	         app_encode_app(g, g, 
0.42/0.60	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.42/0.60	    inference('clc', [status(thm)], ['73', '78'])).
0.42/0.60	tff('80', plain,
0.42/0.60	    (~ $true
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.42/0.60	    inference('sup-', [status(thm)], ['4', '79'])).
0.42/0.60	tff('81', plain,
0.42/0.60	    (~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	         app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.42/0.60	    inference('simplify', [status(thm)], ['80'])).
0.42/0.60	tff('82', plain,
0.42/0.60	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.42/0.60	    inference('clc', [status(thm)], ['81', '63'])).
0.42/0.60	tff('83', plain,
0.42/0.60	    (~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	         app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.42/0.60	    inference('clc', [status(thm)], ['82', '71'])).
0.42/0.60	tff('84', plain,
0.42/0.60	    (~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.60	         app_encode_app(g, g, 
0.42/0.60	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.42/0.60	    inference('clc', [status(thm)], ['50', '83'])).
0.42/0.60	tff('85', plain,
0.42/0.60	    (~ $true
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.42/0.60	    inference('sup-', [status(thm)], ['4', '84'])).
0.42/0.60	tff('86', plain,
0.42/0.60	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.42/0.60	    inference('simplify', [status(thm)], ['85'])).
0.42/0.60	tff('87', plain,
0.42/0.60	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(a, a, 
0.42/0.60	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(b, a, sk_Xh2, 
0.42/0.60	         app_encode_app(g, b, sk_Xh1, 
0.42/0.60	           app_encode_app(g, g, 
0.42/0.60	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.60	        != app_encode_app(a, a, 
0.42/0.60	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.60	               app_encode_app(b, a, sk_Xh2, 
0.42/0.60	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.42/0.60	             app_encode_app(b, a, sk_Xh2, 
0.42/0.60	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('88', plain,
0.42/0.60	    (~ $true
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | app_encode_app(b, a, sk_Xh2, 
0.42/0.60	         app_encode_app(g, b, sk_Xh1, 
0.42/0.60	           app_encode_app(g, g, 
0.42/0.60	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.60	        != app_encode_app(a, a, 
0.42/0.60	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.60	               app_encode_app(b, a, sk_Xh2, 
0.42/0.60	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.42/0.60	             app_encode_app(b, a, sk_Xh2, 
0.42/0.60	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.42/0.60	    inference('sup-', [status(thm)], ['10', '87'])).
0.42/0.60	tff('89', plain,
0.42/0.60	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(b, a, sk_Xh2, 
0.42/0.60	         app_encode_app(g, b, sk_Xh1, 
0.42/0.60	           app_encode_app(g, g, 
0.42/0.60	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.60	        != app_encode_app(a, a, 
0.42/0.60	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.60	               app_encode_app(b, a, sk_Xh2, 
0.42/0.60	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.42/0.60	             app_encode_app(b, a, sk_Xh2, 
0.42/0.60	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.42/0.60	    inference('simplify', [status(thm)], ['88'])).
0.42/0.60	tff('90', plain,
0.42/0.60	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(b, a, sk_Xh2, 
0.42/0.60	         app_encode_app(g, b, sk_Xh1, 
0.42/0.60	           app_encode_app(g, g, 
0.42/0.60	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.60	        != app_encode_app(a, a, 
0.42/0.60	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.60	               app_encode_app(b, a, sk_Xh2, 
0.42/0.60	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.42/0.60	             app_encode_app(b, a, sk_Xh2, 
0.42/0.60	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('91', plain,
0.42/0.60	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.60	     | app_encode_app(b, a, sk_Xh2, 
0.42/0.60	         app_encode_app(g, b, sk_Xh1, 
0.42/0.60	           app_encode_app(g, g, 
0.42/0.60	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.60	        != app_encode_app(a, a, 
0.42/0.60	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.60	               app_encode_app(b, a, sk_Xh2, 
0.42/0.60	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.42/0.60	             app_encode_app(b, a, sk_Xh2, 
0.42/0.60	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.42/0.60	    inference('clc', [status(thm)], ['89', '90'])).
0.42/0.60	tff('92', plain,
0.42/0.60	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(b, a, sk_Xh2, 
0.42/0.60	         app_encode_app(g, b, sk_Xh1, 
0.42/0.60	           app_encode_app(g, g, 
0.42/0.60	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.60	        != app_encode_app(a, a, 
0.42/0.60	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.60	               app_encode_app(b, a, sk_Xh2, 
0.42/0.60	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.42/0.60	             app_encode_app(b, a, sk_Xh2, 
0.42/0.60	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('93', plain,
0.42/0.60	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(b, a, sk_Xh2, 
0.42/0.60	         app_encode_app(g, b, sk_Xh1, 
0.42/0.60	           app_encode_app(g, g, 
0.42/0.60	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.60	        != app_encode_app(a, a, 
0.42/0.60	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.60	               app_encode_app(b, a, sk_Xh2, 
0.42/0.60	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.42/0.60	             app_encode_app(b, a, sk_Xh2, 
0.42/0.60	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.42/0.60	    inference('clc', [status(thm)], ['91', '92'])).
0.42/0.60	tff('94', plain,
0.42/0.60	    (app_encode_app(b, a, sk_Xh2, 
0.42/0.60	       app_encode_app(g, b, sk_Xh1, 
0.42/0.60	         app_encode_app(g, g, 
0.42/0.60	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.60	      != app_encode_app(b, a, sk_Xh2, 
0.42/0.60	           app_encode_app(g, b, sk_Xh1, 
0.42/0.60	             app_encode_app(g, g, 
0.42/0.60	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.42/0.60	               sk_Xy2)))
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.42/0.60	    inference('sup-', [status(thm)], ['9', '93'])).
0.42/0.60	tff('95', plain,
0.42/0.60	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.42/0.60	    inference('simplify', [status(thm)], ['94'])).
0.42/0.60	tff('96', plain,
0.42/0.60	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.42/0.60	    inference('clc', [status(thm)], ['95', '49'])).
0.42/0.60	tff('97', plain,
0.42/0.60	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.42/0.60	    inference('clc', [status(thm)], ['96', '83'])).
0.42/0.60	tff('98', plain,
0.42/0.60	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.42/0.60	    inference('clc', [status(thm)], ['86', '97'])).
0.42/0.60	tff('99', plain,
0.42/0.60	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(b, a, sk_Xh2, 
0.42/0.60	         app_encode_app(g, b, sk_Xh1, 
0.42/0.60	           app_encode_app(g, g, 
0.42/0.60	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.60	        != app_encode_app(a, a, 
0.42/0.60	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.60	               app_encode_app(b, a, sk_Xh2, 
0.42/0.60	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.42/0.60	             app_encode_app(b, a, sk_Xh2, 
0.42/0.60	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.42/0.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.60	tff('100', plain,
0.42/0.60	    (app_encode_app(b, a, sk_Xh2, 
0.42/0.60	       app_encode_app(g, b, sk_Xh1, 
0.42/0.60	         app_encode_app(g, g, 
0.42/0.60	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.60	      != app_encode_app(b, a, sk_Xh2, 
0.42/0.60	           app_encode_app(g, b, sk_Xh1, 
0.42/0.60	             app_encode_app(g, g, 
0.42/0.60	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.42/0.60	               sk_Xy2)))
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.60	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.60	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.60	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.60	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.60	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.42/0.61	    inference('sup-', [status(thm)], ['9', '99'])).
0.42/0.61	tff('101', plain,
0.42/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.42/0.61	    inference('simplify', [status(thm)], ['100'])).
0.42/0.61	tff('102', plain,
0.42/0.61	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.42/0.61	    inference('clc', [status(thm)], ['101', '49'])).
0.42/0.61	tff('103', plain,
0.42/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.42/0.61	    inference('clc', [status(thm)], ['102', '83'])).
0.42/0.61	tff('104', plain,
0.42/0.61	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.42/0.61	    inference('clc', [status(thm)], ['98', '103'])).
0.42/0.61	tff('105', plain,
0.42/0.61	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.42/0.61	         app_encode_app(g, b, sk_Xh1, 
0.42/0.61	           app_encode_app(g, g, 
0.42/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.61	        != app_encode_app(a, a, 
0.42/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.61	               app_encode_app(b, a, sk_Xh2, 
0.42/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.42/0.61	             app_encode_app(b, a, sk_Xh2, 
0.42/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.61	           app_encode_app(g, g, 
0.42/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.42/0.61	    inference('clc', [status(thm)], ['13', '104'])).
0.42/0.61	tff('106', plain,
0.42/0.61	    (~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.61	         app_encode_app(g, g, 
0.42/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.42/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.42/0.61	         app_encode_app(g, b, sk_Xh1, 
0.42/0.61	           app_encode_app(g, g, 
0.42/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.61	        != app_encode_app(a, a, 
0.42/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.61	               app_encode_app(b, a, sk_Xh2, 
0.42/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.42/0.61	             app_encode_app(b, a, sk_Xh2, 
0.42/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.42/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.61	tff('107', plain,
0.42/0.61	    (app_encode_app(b, a, sk_Xh2, 
0.42/0.61	       app_encode_app(g, b, sk_Xh1, 
0.42/0.61	         app_encode_app(g, g, 
0.42/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.61	      != app_encode_app(b, a, sk_Xh2, 
0.42/0.61	           app_encode_app(g, b, sk_Xh1, 
0.42/0.61	             app_encode_app(g, g, 
0.42/0.61	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.42/0.61	               sk_Xy2)))
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.61	           app_encode_app(g, g, 
0.42/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.42/0.61	    inference('sup-', [status(thm)], ['9', '106'])).
0.42/0.61	tff('108', plain,
0.42/0.61	    (~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.61	         app_encode_app(g, g, 
0.42/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.42/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.42/0.61	    inference('simplify', [status(thm)], ['107'])).
0.42/0.61	tff('109', plain,
0.42/0.61	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.61	           app_encode_app(g, g, 
0.42/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.42/0.61	    inference('clc', [status(thm)], ['108', '49'])).
0.42/0.61	tff('110', plain,
0.42/0.61	    (~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.61	         app_encode_app(g, g, 
0.42/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.42/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.42/0.61	    inference('clc', [status(thm)], ['109', '83'])).
0.42/0.61	tff('111', plain,
0.42/0.61	    (~ $true
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.42/0.61	    inference('sup-', [status(thm)], ['4', '110'])).
0.42/0.61	tff('112', plain,
0.42/0.61	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.42/0.61	    inference('simplify', [status(thm)], ['111'])).
0.42/0.61	tff('113', plain,
0.42/0.61	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.42/0.61	    inference('clc', [status(thm)], ['112', '97'])).
0.42/0.61	tff('114', plain,
0.42/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.42/0.61	         app_encode_app(g, b, sk_Xh1, 
0.42/0.61	           app_encode_app(g, g, 
0.42/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.61	        != app_encode_app(a, a, 
0.42/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.61	               app_encode_app(b, a, sk_Xh2, 
0.42/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.42/0.61	             app_encode_app(b, a, sk_Xh2, 
0.42/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.42/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.61	tff('115', plain,
0.42/0.61	    (app_encode_app(b, a, sk_Xh2, 
0.42/0.61	       app_encode_app(g, b, sk_Xh1, 
0.42/0.61	         app_encode_app(g, g, 
0.42/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.61	      != app_encode_app(b, a, sk_Xh2, 
0.42/0.61	           app_encode_app(g, b, sk_Xh1, 
0.42/0.61	             app_encode_app(g, g, 
0.42/0.61	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.42/0.61	               sk_Xy2)))
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.42/0.61	    inference('sup-', [status(thm)], ['9', '114'])).
0.42/0.61	tff('116', plain,
0.42/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.42/0.61	    inference('simplify', [status(thm)], ['115'])).
0.42/0.61	tff('117', plain,
0.42/0.61	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.42/0.61	    inference('clc', [status(thm)], ['116', '49'])).
0.42/0.61	tff('118', plain,
0.42/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.42/0.61	    inference('clc', [status(thm)], ['117', '83'])).
0.42/0.61	tff('119', plain,
0.42/0.61	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.42/0.61	    inference('clc', [status(thm)], ['113', '118'])).
0.42/0.61	tff('120', plain,
0.42/0.61	    (~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.61	         app_encode_app(g, g, 
0.42/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.42/0.61	         app_encode_app(g, b, sk_Xh1, 
0.42/0.61	           app_encode_app(g, g, 
0.42/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.61	        != app_encode_app(a, a, 
0.42/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.61	               app_encode_app(b, a, sk_Xh2, 
0.42/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.42/0.61	             app_encode_app(b, a, sk_Xh2, 
0.42/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.42/0.61	    inference('clc', [status(thm)], ['105', '119'])).
0.42/0.61	tff('121', plain,
0.42/0.61	    (app_encode_app(b, a, sk_Xh2, 
0.42/0.61	       app_encode_app(g, b, sk_Xh1, 
0.42/0.61	         app_encode_app(g, g, 
0.42/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.61	      != app_encode_app(b, a, sk_Xh2, 
0.42/0.61	           app_encode_app(g, b, sk_Xh1, 
0.42/0.61	             app_encode_app(g, g, 
0.42/0.61	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.42/0.61	               sk_Xy2)))
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.61	           app_encode_app(g, g, 
0.42/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.42/0.61	    inference('sup-', [status(thm)], ['9', '120'])).
0.42/0.61	tff('122', plain,
0.42/0.61	    (~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.61	         app_encode_app(g, g, 
0.42/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.42/0.61	    inference('simplify', [status(thm)], ['121'])).
0.42/0.61	tff('123', plain,
0.42/0.61	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.61	           app_encode_app(g, g, 
0.42/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.42/0.61	    inference('clc', [status(thm)], ['122', '49'])).
0.42/0.61	tff('124', plain,
0.42/0.61	    (~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.61	         app_encode_app(g, g, 
0.42/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.42/0.61	    inference('clc', [status(thm)], ['123', '83'])).
0.42/0.61	tff('125', plain,
0.42/0.61	    (~ $true
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.42/0.61	    inference('sup-', [status(thm)], ['4', '124'])).
0.42/0.61	tff('126', plain,
0.42/0.61	    (~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	         app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.42/0.61	    inference('simplify', [status(thm)], ['125'])).
0.42/0.61	tff('127', plain,
0.42/0.61	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.42/0.61	    inference('clc', [status(thm)], ['126', '97'])).
0.42/0.61	tff('128', plain,
0.42/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(a, a, 
0.42/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.42/0.61	         app_encode_app(g, b, sk_Xh1, 
0.42/0.61	           app_encode_app(g, g, 
0.42/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.61	        != app_encode_app(a, a, 
0.42/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.61	               app_encode_app(b, a, sk_Xh2, 
0.42/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.42/0.61	             app_encode_app(b, a, sk_Xh2, 
0.42/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.42/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.61	tff('129', plain,
0.42/0.61	    (~ $true
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.42/0.61	         app_encode_app(g, b, sk_Xh1, 
0.42/0.61	           app_encode_app(g, g, 
0.42/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.61	        != app_encode_app(a, a, 
0.42/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.61	               app_encode_app(b, a, sk_Xh2, 
0.42/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.42/0.61	             app_encode_app(b, a, sk_Xh2, 
0.42/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.42/0.61	    inference('sup-', [status(thm)], ['10', '128'])).
0.42/0.61	tff('130', plain,
0.42/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.42/0.61	         app_encode_app(g, b, sk_Xh1, 
0.42/0.61	           app_encode_app(g, g, 
0.42/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.61	        != app_encode_app(a, a, 
0.42/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.61	               app_encode_app(b, a, sk_Xh2, 
0.42/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.42/0.61	             app_encode_app(b, a, sk_Xh2, 
0.42/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.42/0.61	    inference('simplify', [status(thm)], ['129'])).
0.42/0.61	tff('131', plain,
0.42/0.61	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.42/0.61	         app_encode_app(g, b, sk_Xh1, 
0.42/0.61	           app_encode_app(g, g, 
0.42/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.61	        != app_encode_app(a, a, 
0.42/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.61	               app_encode_app(b, a, sk_Xh2, 
0.42/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.42/0.61	             app_encode_app(b, a, sk_Xh2, 
0.42/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.42/0.61	    inference('clc', [status(thm)], ['130', '104'])).
0.42/0.61	tff('132', plain,
0.42/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.42/0.61	         app_encode_app(g, b, sk_Xh1, 
0.42/0.61	           app_encode_app(g, g, 
0.42/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.61	        != app_encode_app(a, a, 
0.42/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.61	               app_encode_app(b, a, sk_Xh2, 
0.42/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.42/0.61	             app_encode_app(b, a, sk_Xh2, 
0.42/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.42/0.61	    inference('clc', [status(thm)], ['131', '119'])).
0.42/0.61	tff('133', plain,
0.42/0.61	    (app_encode_app(b, a, sk_Xh2, 
0.42/0.61	       app_encode_app(g, b, sk_Xh1, 
0.42/0.61	         app_encode_app(g, g, 
0.42/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.61	      != app_encode_app(b, a, sk_Xh2, 
0.42/0.61	           app_encode_app(g, b, sk_Xh1, 
0.42/0.61	             app_encode_app(g, g, 
0.42/0.61	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.42/0.61	               sk_Xy2)))
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.42/0.61	    inference('sup-', [status(thm)], ['9', '132'])).
0.42/0.61	tff('134', plain,
0.42/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.42/0.61	    inference('simplify', [status(thm)], ['133'])).
0.42/0.61	tff('135', plain,
0.42/0.61	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.42/0.61	    inference('clc', [status(thm)], ['134', '49'])).
0.42/0.61	tff('136', plain,
0.42/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.42/0.61	    inference('clc', [status(thm)], ['135', '83'])).
0.42/0.61	tff('137', plain,
0.42/0.61	    ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	        app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.42/0.61	    inference('clc', [status(thm)], ['127', '136'])).
0.42/0.61	tff('138', plain, (~ $true | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.42/0.61	    inference('sup-', [status(thm)], ['3', '137'])).
0.42/0.61	tff('139', plain,
0.42/0.61	    (~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.61	         app_encode_app(g, g, 
0.42/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(a, a, 
0.42/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.42/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.42/0.61	         app_encode_app(g, b, sk_Xh1, 
0.42/0.61	           app_encode_app(g, g, 
0.42/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.61	        != app_encode_app(a, a, 
0.42/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.61	               app_encode_app(b, a, sk_Xh2, 
0.42/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.42/0.61	             app_encode_app(b, a, sk_Xh2, 
0.42/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.42/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.61	tff('140', plain,
0.42/0.61	    (~ $true
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.42/0.61	         app_encode_app(g, b, sk_Xh1, 
0.42/0.61	           app_encode_app(g, g, 
0.42/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.61	        != app_encode_app(a, a, 
0.42/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.61	               app_encode_app(b, a, sk_Xh2, 
0.42/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.42/0.61	             app_encode_app(b, a, sk_Xh2, 
0.42/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.61	           app_encode_app(g, g, 
0.42/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.42/0.61	    inference('sup-', [status(thm)], ['10', '139'])).
0.42/0.61	tff('141', plain,
0.42/0.61	    (~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.61	         app_encode_app(g, g, 
0.42/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.42/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.42/0.61	         app_encode_app(g, b, sk_Xh1, 
0.42/0.61	           app_encode_app(g, g, 
0.42/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.61	        != app_encode_app(a, a, 
0.42/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.61	               app_encode_app(b, a, sk_Xh2, 
0.42/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.42/0.61	             app_encode_app(b, a, sk_Xh2, 
0.42/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.42/0.61	    inference('simplify', [status(thm)], ['140'])).
0.42/0.61	tff('142', plain,
0.42/0.61	    (~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.61	         app_encode_app(g, g, 
0.42/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.42/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.42/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.42/0.61	         app_encode_app(g, b, sk_Xh1, 
0.42/0.61	           app_encode_app(g, g, 
0.42/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.61	        != app_encode_app(a, a, 
0.42/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.42/0.61	               app_encode_app(b, a, sk_Xh2, 
0.42/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.42/0.61	             app_encode_app(b, a, sk_Xh2, 
0.42/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.42/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.61	tff('143', plain,
0.42/0.61	    (app_encode_app(b, a, sk_Xh2, 
0.42/0.61	       app_encode_app(g, b, sk_Xh1, 
0.42/0.61	         app_encode_app(g, g, 
0.42/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.42/0.61	      != app_encode_app(b, a, sk_Xh2, 
0.42/0.61	           app_encode_app(g, b, sk_Xh1, 
0.42/0.61	             app_encode_app(g, g, 
0.42/0.61	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.42/0.61	               sk_Xy2)))
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.42/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.61	           app_encode_app(g, g, 
0.42/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.42/0.61	    inference('sup-', [status(thm)], ['9', '142'])).
0.42/0.61	tff('144', plain,
0.42/0.61	    (~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.61	         app_encode_app(g, g, 
0.42/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.42/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.42/0.61	    inference('simplify', [status(thm)], ['143'])).
0.42/0.61	tff('145', plain,
0.42/0.61	    (~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.61	         app_encode_app(g, g, 
0.42/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(a, a, 
0.42/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.42/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.61	tff('146', plain,
0.42/0.61	    (~ $true
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.61	           app_encode_app(g, g, 
0.42/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.42/0.61	    inference('sup-', [status(thm)], ['10', '145'])).
0.42/0.61	tff('147', plain,
0.42/0.61	    (~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.61	         app_encode_app(g, g, 
0.42/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.42/0.61	    inference('simplify', [status(thm)], ['146'])).
0.42/0.61	tff('148', plain,
0.42/0.61	    (~ app_encode_app(g, $o, sk_Xs1, 
0.42/0.61	         app_encode_app(g, g, 
0.42/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.42/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.42/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.61	tff('149', plain,
0.42/0.61	    (~ $true
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.42/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.42/0.61	    inference('sup-', [status(thm)], ['4', '148'])).
0.42/0.61	tff('150', plain,
0.42/0.61	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.42/0.61	    inference('simplify', [status(thm)], ['149'])).
0.42/0.61	tff('151', plain,
0.42/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(a, a, 
0.42/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.42/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.61	tff('152', plain,
0.42/0.61	    (~ $true
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.42/0.61	    inference('sup-', [status(thm)], ['10', '151'])).
0.42/0.61	tff('153', plain,
0.42/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.42/0.61	    inference('simplify', [status(thm)], ['152'])).
0.42/0.61	tff('154', plain,
0.42/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.42/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.61	tff('155', plain,
0.42/0.61	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.42/0.61	    inference('clc', [status(thm)], ['153', '154'])).
0.42/0.61	tff('156', plain,
0.42/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.42/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.61	tff('157', plain,
0.42/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.42/0.61	    inference('clc', [status(thm)], ['155', '156'])).
0.42/0.61	tff('158', plain,
0.42/0.61	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.42/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.42/0.61	    inference('clc', [status(thm)], ['150', '157'])).
0.42/0.61	tff('159', plain,
0.42/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.42/0.61	           app_encode_app(a, a, 
0.42/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.42/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.61	tff('160', plain,
0.42/0.61	    (~ $true
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.42/0.61	    inference('sup-', [status(thm)], ['10', '159'])).
0.42/0.61	tff('161', plain,
0.42/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.42/0.61	    inference('simplify', [status(thm)], ['160'])).
0.42/0.61	tff('162', plain,
0.42/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.42/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.42/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.42/0.61	tff('163', plain,
0.42/0.61	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.42/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.45/0.61	    inference('clc', [status(thm)], ['161', '162'])).
0.45/0.61	tff('164', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.45/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.45/0.61	tff('165', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.45/0.61	    inference('clc', [status(thm)], ['163', '164'])).
0.45/0.61	tff('166', plain,
0.45/0.61	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.45/0.61	    inference('clc', [status(thm)], ['158', '165'])).
0.45/0.61	tff('167', plain,
0.45/0.61	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.45/0.61	           app_encode_app(g, g, 
0.45/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.45/0.61	    inference('clc', [status(thm)], ['147', '166'])).
0.45/0.61	tff('168', plain,
0.45/0.61	    (~ app_encode_app(g, $o, sk_Xs1, 
0.45/0.61	         app_encode_app(g, g, 
0.45/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.45/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.45/0.61	tff('169', plain,
0.45/0.61	    (~ $true
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.45/0.61	    inference('sup-', [status(thm)], ['4', '168'])).
0.45/0.61	tff('170', plain,
0.45/0.61	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.45/0.61	    inference('simplify', [status(thm)], ['169'])).
0.45/0.61	tff('171', plain,
0.45/0.61	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.45/0.61	    inference('clc', [status(thm)], ['170', '157'])).
0.45/0.61	tff('172', plain,
0.45/0.61	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.45/0.61	    inference('clc', [status(thm)], ['171', '165'])).
0.45/0.61	tff('173', plain,
0.45/0.61	    (~ app_encode_app(g, $o, sk_Xs1, 
0.45/0.61	         app_encode_app(g, g, 
0.45/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.45/0.61	    inference('clc', [status(thm)], ['167', '172'])).
0.45/0.61	tff('174', plain,
0.45/0.61	    (~ $true
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.45/0.61	    inference('sup-', [status(thm)], ['4', '173'])).
0.45/0.61	tff('175', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.45/0.61	    inference('simplify', [status(thm)], ['174'])).
0.45/0.61	tff('176', plain,
0.45/0.61	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.45/0.61	    inference('clc', [status(thm)], ['175', '157'])).
0.45/0.61	tff('177', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy2)),
0.45/0.61	    inference('clc', [status(thm)], ['176', '165'])).
0.45/0.61	tff('178', plain,
0.45/0.61	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.45/0.61	           app_encode_app(g, g, 
0.45/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.45/0.61	    inference('clc', [status(thm)], ['144', '177'])).
0.45/0.61	tff('179', plain,
0.45/0.61	    (~ app_encode_app(g, $o, sk_Xs1, 
0.45/0.61	         app_encode_app(g, g, 
0.45/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.45/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.45/0.61	           app_encode_app(a, a, 
0.45/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.45/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.45/0.61	tff('180', plain,
0.45/0.61	    (~ $true
0.45/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.45/0.61	           app_encode_app(g, g, 
0.45/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.45/0.61	    inference('sup-', [status(thm)], ['10', '179'])).
0.45/0.61	tff('181', plain,
0.45/0.61	    (~ app_encode_app(g, $o, sk_Xs1, 
0.45/0.61	         app_encode_app(g, g, 
0.45/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.45/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.45/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.45/0.61	    inference('simplify', [status(thm)], ['180'])).
0.45/0.61	tff('182', plain,
0.45/0.61	    (~ app_encode_app(g, $o, sk_Xs1, 
0.45/0.61	         app_encode_app(g, g, 
0.45/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.45/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.45/0.61	tff('183', plain,
0.45/0.61	    (~ $true
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.45/0.61	    inference('sup-', [status(thm)], ['4', '182'])).
0.45/0.61	tff('184', plain,
0.45/0.61	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.45/0.61	    inference('simplify', [status(thm)], ['183'])).
0.45/0.61	tff('185', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.45/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.45/0.61	           app_encode_app(a, a, 
0.45/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.45/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.45/0.61	tff('186', plain,
0.45/0.61	    (~ $true
0.45/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.45/0.61	    inference('sup-', [status(thm)], ['10', '185'])).
0.45/0.61	tff('187', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.45/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.45/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.45/0.61	    inference('simplify', [status(thm)], ['186'])).
0.45/0.61	tff('188', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.45/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.45/0.61	tff('189', plain,
0.45/0.61	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.45/0.61	    inference('clc', [status(thm)], ['187', '188'])).
0.45/0.61	tff('190', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.45/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.45/0.61	tff('191', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.45/0.61	    inference('clc', [status(thm)], ['189', '190'])).
0.45/0.61	tff('192', plain,
0.45/0.61	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.45/0.61	    inference('clc', [status(thm)], ['184', '191'])).
0.45/0.61	tff('193', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.45/0.61	           app_encode_app(a, a, 
0.45/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.45/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.45/0.61	tff('194', plain,
0.45/0.61	    (~ $true
0.45/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.45/0.61	    inference('sup-', [status(thm)], ['10', '193'])).
0.45/0.61	tff('195', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.45/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.45/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.45/0.61	    inference('simplify', [status(thm)], ['194'])).
0.45/0.61	tff('196', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.45/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.45/0.61	tff('197', plain,
0.45/0.61	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.45/0.61	    inference('clc', [status(thm)], ['195', '196'])).
0.45/0.61	tff('198', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.45/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.45/0.61	tff('199', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.45/0.61	    inference('clc', [status(thm)], ['197', '198'])).
0.45/0.61	tff('200', plain,
0.45/0.61	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.45/0.61	    inference('clc', [status(thm)], ['192', '199'])).
0.45/0.61	tff('201', plain,
0.45/0.61	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.45/0.61	           app_encode_app(g, g, 
0.45/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.45/0.61	    inference('clc', [status(thm)], ['181', '200'])).
0.45/0.61	tff('202', plain,
0.45/0.61	    (~ app_encode_app(g, $o, sk_Xs1, 
0.45/0.61	         app_encode_app(g, g, 
0.45/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.45/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.45/0.61	tff('203', plain,
0.45/0.61	    (~ $true
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.45/0.61	    inference('sup-', [status(thm)], ['4', '202'])).
0.45/0.61	tff('204', plain,
0.45/0.61	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.45/0.61	    inference('simplify', [status(thm)], ['203'])).
0.45/0.61	tff('205', plain,
0.45/0.61	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.45/0.61	    inference('clc', [status(thm)], ['204', '191'])).
0.45/0.61	tff('206', plain,
0.45/0.61	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.45/0.61	    inference('clc', [status(thm)], ['205', '199'])).
0.45/0.61	tff('207', plain,
0.45/0.61	    (~ app_encode_app(g, $o, sk_Xs1, 
0.45/0.61	         app_encode_app(g, g, 
0.45/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.45/0.61	    inference('clc', [status(thm)], ['201', '206'])).
0.45/0.61	tff('208', plain,
0.45/0.61	    (~ $true
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.45/0.61	    inference('sup-', [status(thm)], ['4', '207'])).
0.45/0.61	tff('209', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.45/0.61	    inference('simplify', [status(thm)], ['208'])).
0.45/0.61	tff('210', plain,
0.45/0.61	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.45/0.61	    inference('clc', [status(thm)], ['209', '191'])).
0.45/0.61	tff('211', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.45/0.61	    inference('clc', [status(thm)], ['210', '199'])).
0.45/0.61	tff('212', plain,
0.45/0.61	    (~ app_encode_app(g, $o, sk_Xs1, 
0.45/0.61	         app_encode_app(g, g, 
0.45/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.45/0.61	    inference('clc', [status(thm)], ['178', '211'])).
0.45/0.61	tff('213', plain,
0.45/0.61	    (~ $true
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.45/0.61	    inference('sup-', [status(thm)], ['4', '212'])).
0.45/0.61	tff('214', plain,
0.45/0.61	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.45/0.61	    inference('simplify', [status(thm)], ['213'])).
0.45/0.61	tff('215', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.45/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.45/0.61	           app_encode_app(a, a, 
0.45/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.45/0.61	         app_encode_app(g, b, sk_Xh1, 
0.45/0.61	           app_encode_app(g, g, 
0.45/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.45/0.61	        != app_encode_app(a, a, 
0.45/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.45/0.61	               app_encode_app(b, a, sk_Xh2, 
0.45/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.45/0.61	             app_encode_app(b, a, sk_Xh2, 
0.45/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.45/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.45/0.61	tff('216', plain,
0.45/0.61	    (~ $true
0.45/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.45/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.45/0.61	         app_encode_app(g, b, sk_Xh1, 
0.45/0.61	           app_encode_app(g, g, 
0.45/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.45/0.61	        != app_encode_app(a, a, 
0.45/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.45/0.61	               app_encode_app(b, a, sk_Xh2, 
0.45/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.45/0.61	             app_encode_app(b, a, sk_Xh2, 
0.45/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.45/0.61	    inference('sup-', [status(thm)], ['10', '215'])).
0.45/0.61	tff('217', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.45/0.61	         app_encode_app(g, b, sk_Xh1, 
0.45/0.61	           app_encode_app(g, g, 
0.45/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.45/0.61	        != app_encode_app(a, a, 
0.45/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.45/0.61	               app_encode_app(b, a, sk_Xh2, 
0.45/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.45/0.61	             app_encode_app(b, a, sk_Xh2, 
0.45/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.45/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.45/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.45/0.61	    inference('simplify', [status(thm)], ['216'])).
0.45/0.61	tff('218', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.45/0.61	         app_encode_app(g, b, sk_Xh1, 
0.45/0.61	           app_encode_app(g, g, 
0.45/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.45/0.61	        != app_encode_app(a, a, 
0.45/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.45/0.61	               app_encode_app(b, a, sk_Xh2, 
0.45/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.45/0.61	             app_encode_app(b, a, sk_Xh2, 
0.45/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.45/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.45/0.61	tff('219', plain,
0.45/0.61	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.45/0.61	         app_encode_app(g, b, sk_Xh1, 
0.45/0.61	           app_encode_app(g, g, 
0.45/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.45/0.61	        != app_encode_app(a, a, 
0.45/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.45/0.61	               app_encode_app(b, a, sk_Xh2, 
0.45/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.45/0.61	             app_encode_app(b, a, sk_Xh2, 
0.45/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.45/0.61	    inference('clc', [status(thm)], ['217', '218'])).
0.45/0.61	tff('220', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.45/0.61	         app_encode_app(g, b, sk_Xh1, 
0.45/0.61	           app_encode_app(g, g, 
0.45/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.45/0.61	        != app_encode_app(a, a, 
0.45/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.45/0.61	               app_encode_app(b, a, sk_Xh2, 
0.45/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.45/0.61	             app_encode_app(b, a, sk_Xh2, 
0.45/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.45/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.45/0.61	tff('221', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.45/0.61	         app_encode_app(g, b, sk_Xh1, 
0.45/0.61	           app_encode_app(g, g, 
0.45/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.45/0.61	        != app_encode_app(a, a, 
0.45/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.45/0.61	               app_encode_app(b, a, sk_Xh2, 
0.45/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.45/0.61	             app_encode_app(b, a, sk_Xh2, 
0.45/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.45/0.61	    inference('clc', [status(thm)], ['219', '220'])).
0.45/0.61	tff('222', plain,
0.45/0.61	    (app_encode_app(b, a, sk_Xh2, 
0.45/0.61	       app_encode_app(g, b, sk_Xh1, 
0.45/0.61	         app_encode_app(g, g, 
0.45/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.45/0.61	      != app_encode_app(b, a, sk_Xh2, 
0.45/0.61	           app_encode_app(g, b, sk_Xh1, 
0.45/0.61	             app_encode_app(g, g, 
0.45/0.61	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.45/0.61	               sk_Xy2)))
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.45/0.61	    inference('sup-', [status(thm)], ['9', '221'])).
0.45/0.61	tff('223', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.45/0.61	    inference('simplify', [status(thm)], ['222'])).
0.45/0.61	tff('224', plain,
0.45/0.61	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.45/0.61	    inference('clc', [status(thm)], ['223', '177'])).
0.45/0.61	tff('225', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.45/0.61	    inference('clc', [status(thm)], ['224', '211'])).
0.45/0.61	tff('226', plain,
0.45/0.61	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.45/0.61	    inference('clc', [status(thm)], ['214', '225'])).
0.45/0.61	tff('227', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.45/0.61	           app_encode_app(a, a, 
0.45/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, sk_Xx1), sk_Xy1))
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.45/0.61	         app_encode_app(g, b, sk_Xh1, 
0.45/0.61	           app_encode_app(g, g, 
0.45/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.45/0.61	        != app_encode_app(a, a, 
0.45/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.45/0.61	               app_encode_app(b, a, sk_Xh2, 
0.45/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.45/0.61	             app_encode_app(b, a, sk_Xh2, 
0.45/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.45/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.45/0.61	tff('228', plain,
0.45/0.61	    (~ $true
0.45/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.45/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.45/0.61	         app_encode_app(g, b, sk_Xh1, 
0.45/0.61	           app_encode_app(g, g, 
0.45/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.45/0.61	        != app_encode_app(a, a, 
0.45/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.45/0.61	               app_encode_app(b, a, sk_Xh2, 
0.45/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.45/0.61	             app_encode_app(b, a, sk_Xh2, 
0.45/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.45/0.61	    inference('sup-', [status(thm)], ['10', '227'])).
0.45/0.61	tff('229', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.45/0.61	         app_encode_app(g, b, sk_Xh1, 
0.45/0.61	           app_encode_app(g, g, 
0.45/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.45/0.61	        != app_encode_app(a, a, 
0.45/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.45/0.61	               app_encode_app(b, a, sk_Xh2, 
0.45/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.45/0.61	             app_encode_app(b, a, sk_Xh2, 
0.45/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.45/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.45/0.61	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.45/0.61	    inference('simplify', [status(thm)], ['228'])).
0.45/0.61	tff('230', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.45/0.61	         app_encode_app(g, b, sk_Xh1, 
0.45/0.61	           app_encode_app(g, g, 
0.45/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.45/0.61	        != app_encode_app(a, a, 
0.45/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.45/0.61	               app_encode_app(b, a, sk_Xh2, 
0.45/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.45/0.61	             app_encode_app(b, a, sk_Xh2, 
0.45/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.45/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.45/0.61	tff('231', plain,
0.45/0.61	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.45/0.61	         app_encode_app(g, b, sk_Xh1, 
0.45/0.61	           app_encode_app(g, g, 
0.45/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.45/0.61	        != app_encode_app(a, a, 
0.45/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.45/0.61	               app_encode_app(b, a, sk_Xh2, 
0.45/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.45/0.61	             app_encode_app(b, a, sk_Xh2, 
0.45/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.45/0.61	    inference('clc', [status(thm)], ['229', '230'])).
0.45/0.61	tff('232', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.45/0.61	         app_encode_app(g, b, sk_Xh1, 
0.45/0.61	           app_encode_app(g, g, 
0.45/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.45/0.61	        != app_encode_app(a, a, 
0.45/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.45/0.61	               app_encode_app(b, a, sk_Xh2, 
0.45/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.45/0.61	             app_encode_app(b, a, sk_Xh2, 
0.45/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.45/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.45/0.61	tff('233', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.45/0.61	         app_encode_app(g, b, sk_Xh1, 
0.45/0.61	           app_encode_app(g, g, 
0.45/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.45/0.61	        != app_encode_app(a, a, 
0.45/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.45/0.61	               app_encode_app(b, a, sk_Xh2, 
0.45/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.45/0.61	             app_encode_app(b, a, sk_Xh2, 
0.45/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.45/0.61	    inference('clc', [status(thm)], ['231', '232'])).
0.45/0.61	tff('234', plain,
0.45/0.61	    (app_encode_app(b, a, sk_Xh2, 
0.45/0.61	       app_encode_app(g, b, sk_Xh1, 
0.45/0.61	         app_encode_app(g, g, 
0.45/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.45/0.61	      != app_encode_app(b, a, sk_Xh2, 
0.45/0.61	           app_encode_app(g, b, sk_Xh1, 
0.45/0.61	             app_encode_app(g, g, 
0.45/0.61	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.45/0.61	               sk_Xy2)))
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.45/0.61	    inference('sup-', [status(thm)], ['9', '233'])).
0.45/0.61	tff('235', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.45/0.61	    inference('simplify', [status(thm)], ['234'])).
0.45/0.61	tff('236', plain,
0.45/0.61	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.45/0.61	    inference('clc', [status(thm)], ['235', '177'])).
0.45/0.61	tff('237', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.45/0.61	    inference('clc', [status(thm)], ['236', '211'])).
0.45/0.61	tff('238', plain,
0.45/0.61	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.45/0.61	    inference('clc', [status(thm)], ['226', '237'])).
0.45/0.61	tff('239', plain,
0.45/0.61	    (~ app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.45/0.61	         app_encode_app(g, b, sk_Xh1, 
0.45/0.61	           app_encode_app(g, g, 
0.45/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.45/0.61	        != app_encode_app(a, a, 
0.45/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.45/0.61	               app_encode_app(b, a, sk_Xh2, 
0.45/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.45/0.61	             app_encode_app(b, a, sk_Xh2, 
0.45/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.45/0.61	           app_encode_app(g, g, 
0.45/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.45/0.61	    inference('clc', [status(thm)], ['141', '238'])).
0.45/0.61	tff('240', plain,
0.45/0.61	    (~ app_encode_app(g, $o, sk_Xs1, 
0.45/0.61	         app_encode_app(g, g, 
0.45/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.45/0.61	         app_encode_app(g, b, sk_Xh1, 
0.45/0.61	           app_encode_app(g, g, 
0.45/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.45/0.61	        != app_encode_app(a, a, 
0.45/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.45/0.61	               app_encode_app(b, a, sk_Xh2, 
0.45/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.45/0.61	             app_encode_app(b, a, sk_Xh2, 
0.45/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.45/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.45/0.61	tff('241', plain,
0.45/0.61	    (app_encode_app(b, a, sk_Xh2, 
0.45/0.61	       app_encode_app(g, b, sk_Xh1, 
0.45/0.61	         app_encode_app(g, g, 
0.45/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.45/0.61	      != app_encode_app(b, a, sk_Xh2, 
0.45/0.61	           app_encode_app(g, b, sk_Xh1, 
0.45/0.61	             app_encode_app(g, g, 
0.45/0.61	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.45/0.61	               sk_Xy2)))
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.45/0.61	           app_encode_app(g, g, 
0.45/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.45/0.61	    inference('sup-', [status(thm)], ['9', '240'])).
0.45/0.61	tff('242', plain,
0.45/0.61	    (~ app_encode_app(g, $o, sk_Xs1, 
0.45/0.61	         app_encode_app(g, g, 
0.45/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.45/0.61	    inference('simplify', [status(thm)], ['241'])).
0.45/0.61	tff('243', plain,
0.45/0.61	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.45/0.61	           app_encode_app(g, g, 
0.45/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.45/0.61	    inference('clc', [status(thm)], ['242', '177'])).
0.45/0.61	tff('244', plain,
0.45/0.61	    (~ app_encode_app(g, $o, sk_Xs1, 
0.45/0.61	         app_encode_app(g, g, 
0.45/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.45/0.61	    inference('clc', [status(thm)], ['243', '211'])).
0.45/0.61	tff('245', plain,
0.45/0.61	    (~ $true
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.45/0.61	    inference('sup-', [status(thm)], ['4', '244'])).
0.45/0.61	tff('246', plain,
0.45/0.61	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.45/0.61	    inference('simplify', [status(thm)], ['245'])).
0.45/0.61	tff('247', plain,
0.45/0.61	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(a, $o, sk_Xs3, sk_Xy1)),
0.45/0.61	    inference('clc', [status(thm)], ['246', '225'])).
0.45/0.61	tff('248', plain,
0.45/0.61	    (app_encode_app(a, $o, sk_Xs3, sk_Xy1)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.45/0.61	    inference('clc', [status(thm)], ['247', '237'])).
0.45/0.61	tff('249', plain,
0.45/0.61	    (~ app_encode_app(g, $o, sk_Xs1, 
0.45/0.61	         app_encode_app(g, g, 
0.45/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | app_encode_app(b, a, sk_Xh2, 
0.45/0.61	         app_encode_app(g, b, sk_Xh1, 
0.45/0.61	           app_encode_app(g, g, 
0.45/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.45/0.61	        != app_encode_app(a, a, 
0.45/0.61	             app_encode_app(a, app_encode_fun(a, a), sk_Xf3, 
0.45/0.61	               app_encode_app(b, a, sk_Xh2, 
0.45/0.61	                 app_encode_app(g, b, sk_Xh1, sk_Xx3))), 
0.45/0.61	             app_encode_app(b, a, sk_Xh2, 
0.45/0.61	               app_encode_app(g, b, sk_Xh1, sk_Xy2)))),
0.45/0.61	    inference('clc', [status(thm)], ['239', '248'])).
0.45/0.61	tff('250', plain,
0.45/0.61	    (app_encode_app(b, a, sk_Xh2, 
0.45/0.61	       app_encode_app(g, b, sk_Xh1, 
0.45/0.61	         app_encode_app(g, g, 
0.45/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), sk_Xy2)))
0.45/0.61	      != app_encode_app(b, a, sk_Xh2, 
0.45/0.61	           app_encode_app(g, b, sk_Xh1, 
0.45/0.61	             app_encode_app(g, g, 
0.45/0.61	               app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx3), 
0.45/0.61	               sk_Xy2)))
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.45/0.61	           app_encode_app(g, g, 
0.45/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.45/0.61	    inference('sup-', [status(thm)], ['9', '249'])).
0.45/0.61	tff('251', plain,
0.45/0.61	    (~ app_encode_app(g, $o, sk_Xs1, 
0.45/0.61	         app_encode_app(g, g, 
0.45/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy2)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.45/0.61	    inference('simplify', [status(thm)], ['250'])).
0.45/0.61	tff('252', plain,
0.45/0.61	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, 
0.45/0.61	           app_encode_app(g, g, 
0.45/0.61	             app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))),
0.45/0.61	    inference('clc', [status(thm)], ['251', '177'])).
0.45/0.61	tff('253', plain,
0.45/0.61	    (~ app_encode_app(g, $o, sk_Xs1, 
0.45/0.61	         app_encode_app(g, g, 
0.45/0.61	           app_encode_app(g, app_encode_fun(g, g), sk_Xf1, sk_Xx), sk_Xy))
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.45/0.61	    inference('clc', [status(thm)], ['252', '211'])).
0.45/0.61	tff('254', plain,
0.45/0.61	    (~ $true
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.45/0.61	    inference('sup-', [status(thm)], ['4', '253'])).
0.45/0.61	tff('255', plain,
0.45/0.61	    (app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.45/0.61	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xy)),
0.45/0.61	    inference('simplify', [status(thm)], ['254'])).
0.45/0.61	tff('256', plain,
0.45/0.61	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xy)
0.45/0.61	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.45/0.61	    inference('clc', [status(thm)], ['255', '225'])).
0.45/0.61	tff('257', plain, app_encode_app(g, $o, sk_Xs1, sk_Xx2),
0.45/0.61	    inference('clc', [status(thm)], ['256', '237'])).
0.45/0.61	tff('258', plain, (~ $true | ~ $true),
0.45/0.61	    inference('demod', [status(thm)], ['138', '257'])).
0.45/0.61	tff('259', plain, $false, inference('simplify', [status(thm)], ['258'])).
0.45/0.61	
0.45/0.61	% SZS output end Refutation
0.45/0.61	EOF
