0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n155.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 17:22:39 CST 2018
1.60/1.77	% done 574 iterations in 1.574s
1.60/1.77	% SZS status Theorem for 'stdin'
1.60/1.77	% SZS output start Refutation
1.60/1.77	tff(zf_stmt_6, conjecture,
1.60/1.77	  (![Xh1:app_encode_fun(g,b),Xh2:app_encode_fun(b,a),
1.60/1.77	     Xs1:app_encode_fun(g,$o),Xf1:app_encode_fun(g,g),
1.60/1.77	     Xs2:app_encode_fun(b,$o),Xf2:app_encode_fun(b,b),
1.60/1.77	     Xs3:app_encode_fun(a,$o),Xf3:app_encode_fun(a,a)]:
1.60/1.77	     (((![Xx:g]:
1.60/1.77	          (app_encode_app(g,$o,Xs1,Xx) =>
1.60/1.77	           app_encode_app(g,$o,Xs1,app_encode_app(g,g,Xf1,Xx)))) & 
1.60/1.77	       (![Xx:b]:
1.60/1.77	          (app_encode_app(b,$o,Xs2,Xx) =>
1.60/1.77	           app_encode_app(b,$o,Xs2,app_encode_app(b,b,Xf2,Xx)))) & 
1.60/1.77	       (![Xx:g]:
1.60/1.77	          (app_encode_app(g,$o,Xs1,Xx) =>
1.60/1.77	           app_encode_app(b,$o,Xs2,app_encode_app(g,b,Xh1,Xx)))) & 
1.60/1.77	       (![Xx:g]:
1.60/1.77	          (app_encode_app(g,$o,Xs1,Xx) =>
1.60/1.77	           (app_encode_app(g,b,Xh1,app_encode_app(g,g,Xf1,Xx)) =
1.60/1.77	            app_encode_app(b,b,Xf2,app_encode_app(g,b,Xh1,Xx))))) & 
1.60/1.77	       (![Xx:b]:
1.60/1.77	          (app_encode_app(b,$o,Xs2,Xx) =>
1.60/1.77	           app_encode_app(b,$o,Xs2,app_encode_app(b,b,Xf2,Xx)))) & 
1.60/1.77	       (![Xx:a]:
1.60/1.77	          (app_encode_app(a,$o,Xs3,Xx) =>
1.60/1.77	           app_encode_app(a,$o,Xs3,app_encode_app(a,a,Xf3,Xx)))) & 
1.60/1.77	       (![Xx:b]:
1.60/1.77	          (app_encode_app(b,$o,Xs2,Xx) =>
1.60/1.77	           app_encode_app(a,$o,Xs3,app_encode_app(b,a,Xh2,Xx)))) & 
1.60/1.77	       (![Xx:b]:
1.60/1.77	          (app_encode_app(b,$o,Xs2,Xx) =>
1.60/1.77	           (app_encode_app(b,a,Xh2,app_encode_app(b,b,Xf2,Xx)) =
1.60/1.77	            app_encode_app(a,a,Xf3,app_encode_app(b,a,Xh2,Xx)))))) =>
1.60/1.77	      ((![Xx:g]:
1.60/1.77	          (app_encode_app(g,$o,Xs1,Xx) =>
1.60/1.77	           app_encode_app(g,$o,Xs1,app_encode_app(g,g,Xf1,Xx)))) & 
1.60/1.77	       (![Xx:a]:
1.60/1.77	          (app_encode_app(a,$o,Xs3,Xx) =>
1.60/1.77	           app_encode_app(a,$o,Xs3,app_encode_app(a,a,Xf3,Xx)))) & 
1.60/1.77	       (![Xx:g]:
1.60/1.77	          (app_encode_app(g,$o,Xs1,Xx) =>
1.60/1.77	           app_encode_app(a,$o,Xs3,
1.60/1.77	                          app_encode_app(b,a,Xh2,app_encode_app(g,b,Xh1,Xx))))) & 
1.60/1.77	       (![Xx:g]:
1.60/1.77	          (app_encode_app(g,$o,Xs1,Xx) =>
1.60/1.77	           (app_encode_app(b,a,Xh2,
1.60/1.77	                           app_encode_app(g,b,Xh1,app_encode_app(g,g,Xf1,Xx))) =
1.60/1.77	            app_encode_app(a,a,Xf3,
1.60/1.77	                           app_encode_app(b,a,Xh2,app_encode_app(g,b,Xh1,Xx)))))))))).
1.60/1.77	tff(zf_stmt_0, negated_conjecture,
1.60/1.77	  (~
1.60/1.77	    (![Xh1:app_encode_fun(g,b),Xh2:app_encode_fun(b,a),
1.60/1.77	       Xs1:app_encode_fun(g,$o),Xf1:app_encode_fun(g,g),
1.60/1.77	       Xs2:app_encode_fun(b,$o),Xf2:app_encode_fun(b,b),
1.60/1.77	       Xs3:app_encode_fun(a,$o),Xf3:app_encode_fun(a,a)]:
1.60/1.77	       (((![Xx:g]:
1.60/1.77	            (app_encode_app(g,$o,Xs1,Xx) =>
1.60/1.77	             app_encode_app(g,$o,Xs1,app_encode_app(g,g,Xf1,Xx)))) & 
1.60/1.77	         (![Xx:b]:
1.60/1.77	            (app_encode_app(b,$o,Xs2,Xx) =>
1.60/1.77	             app_encode_app(b,$o,Xs2,app_encode_app(b,b,Xf2,Xx)))) & 
1.60/1.77	         (![Xx:g]:
1.60/1.77	            (app_encode_app(g,$o,Xs1,Xx) =>
1.60/1.77	             app_encode_app(b,$o,Xs2,app_encode_app(g,b,Xh1,Xx)))) & 
1.60/1.77	         (![Xx:g]:
1.60/1.77	            (app_encode_app(g,$o,Xs1,Xx) =>
1.60/1.77	             (app_encode_app(g,b,Xh1,app_encode_app(g,g,Xf1,Xx)) =
1.60/1.77	              app_encode_app(b,b,Xf2,app_encode_app(g,b,Xh1,Xx))))) & 
1.60/1.77	         (![Xx:b]:
1.60/1.77	            (app_encode_app(b,$o,Xs2,Xx) =>
1.60/1.77	             app_encode_app(b,$o,Xs2,app_encode_app(b,b,Xf2,Xx)))) & 
1.60/1.77	         (![Xx:a]:
1.60/1.77	            (app_encode_app(a,$o,Xs3,Xx) =>
1.60/1.77	             app_encode_app(a,$o,Xs3,app_encode_app(a,a,Xf3,Xx)))) & 
1.60/1.77	         (![Xx:b]:
1.60/1.77	            (app_encode_app(b,$o,Xs2,Xx) =>
1.60/1.77	             app_encode_app(a,$o,Xs3,app_encode_app(b,a,Xh2,Xx)))) & 
1.60/1.77	         (![Xx:b]:
1.60/1.77	            (app_encode_app(b,$o,Xs2,Xx) =>
1.60/1.77	             (app_encode_app(b,a,Xh2,app_encode_app(b,b,Xf2,Xx)) =
1.60/1.77	              app_encode_app(a,a,Xf3,app_encode_app(b,a,Xh2,Xx)))))) =>
1.60/1.77	        ((![Xx:g]:
1.60/1.77	            (app_encode_app(g,$o,Xs1,Xx) =>
1.60/1.77	             app_encode_app(g,$o,Xs1,app_encode_app(g,g,Xf1,Xx)))) & 
1.60/1.77	         (![Xx:a]:
1.60/1.77	            (app_encode_app(a,$o,Xs3,Xx) =>
1.60/1.77	             app_encode_app(a,$o,Xs3,app_encode_app(a,a,Xf3,Xx)))) & 
1.60/1.77	         (![Xx:g]:
1.60/1.77	            (app_encode_app(g,$o,Xs1,Xx) =>
1.60/1.77	             app_encode_app(a,$o,Xs3,
1.60/1.77	                            app_encode_app(b,a,Xh2,app_encode_app(g,b,Xh1,Xx))))) & 
1.60/1.77	         (![Xx:g]:
1.60/1.77	            (app_encode_app(g,$o,Xs1,Xx) =>
1.60/1.77	             (app_encode_app(b,a,Xh2,
1.60/1.77	                             app_encode_app(g,b,Xh1,
1.60/1.77	                                            app_encode_app(g,g,Xf1,Xx))) =
1.60/1.77	              app_encode_app(a,a,Xf3,
1.60/1.77	                             app_encode_app(b,a,Xh2,
1.60/1.77	                                            app_encode_app(g,b,Xh1,Xx))))))))))).
1.60/1.77	tff('0', plain,
1.60/1.77	    ![X9 : g]:
1.60/1.77	      (app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, X9))
1.60/1.77	        = app_encode_app(b, b, sk_Xf2, app_encode_app(g, b, sk_Xh1, X9))
1.60/1.77	       | ~ app_encode_app(g, $o, sk_Xs1, X9)),
1.60/1.77	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.77	tff('1', plain,
1.60/1.77	    ![X4 : b]:
1.60/1.77	      (app_encode_app(b, a, sk_Xh2, app_encode_app(b, b, sk_Xf2, X4))
1.60/1.77	        = app_encode_app(a, a, sk_Xf3, app_encode_app(b, a, sk_Xh2, X4))
1.60/1.77	       | ~ app_encode_app(b, $o, sk_Xs2, X4)),
1.60/1.77	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.77	tff('2', plain,
1.60/1.77	    ![X0 : g]:
1.60/1.77	      (app_encode_app(b, a, sk_Xh2, 
1.60/1.77	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, X0)))
1.60/1.77	        = app_encode_app(a, a, sk_Xf3, 
1.60/1.77	            app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, X0)))
1.60/1.77	       | ~ app_encode_app(g, $o, sk_Xs1, X0)
1.60/1.77	       | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, X0))),
1.60/1.77	    inference('sup+', [status(thm)], ['0', '1'])).
1.60/1.77	tff('3', plain,
1.60/1.77	    ![X8 : g]:
1.60/1.77	      (app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, X8))
1.60/1.77	       | ~ app_encode_app(g, $o, sk_Xs1, X8)),
1.60/1.77	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.77	tff('4', plain,
1.60/1.77	    ![X0 : g]:
1.60/1.77	      (~ app_encode_app(g, $o, sk_Xs1, X0)
1.60/1.77	       | app_encode_app(b, a, sk_Xh2, 
1.60/1.77	           app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, X0)))
1.60/1.77	          = app_encode_app(a, a, sk_Xf3, 
1.60/1.77	              app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, X0)))),
1.60/1.77	    inference('clc', [status(thm)], ['2', '3'])).
1.60/1.77	tff('5', plain,
1.60/1.77	    ![X11 : b]:
1.60/1.77	      (app_encode_app(a, $o, sk_Xs3, app_encode_app(b, a, sk_Xh2, X11))
1.60/1.77	       | ~ app_encode_app(b, $o, sk_Xs2, X11)),
1.60/1.77	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.77	tff('6', plain,
1.60/1.77	    ![X0 : g]:
1.60/1.77	      (~ $true
1.60/1.77	       | ~ app_encode_app(g, $o, sk_Xs1, X0)
1.60/1.77	       | app_encode_app(a, $o, sk_Xs3, 
1.60/1.77	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, X0)))),
1.60/1.77	    inference('sup-', [status(thm)], ['3', '5'])).
1.60/1.77	tff('7', plain,
1.60/1.77	    ![X0 : g]:
1.60/1.77	      (app_encode_app(a, $o, sk_Xs3, 
1.60/1.77	         app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, X0)))
1.60/1.77	       | ~ app_encode_app(g, $o, sk_Xs1, X0)),
1.60/1.77	    inference('simplify', [status(thm)], ['6'])).
1.60/1.77	tff('8', plain,
1.60/1.77	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
1.60/1.77	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, 
1.60/1.77	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
1.60/1.77	     | app_encode_app(b, a, sk_Xh2, 
1.60/1.77	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	        != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	             app_encode_app(b, a, sk_Xh2, 
1.60/1.77	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))),
1.60/1.77	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.77	tff('9', plain,
1.60/1.77	    (~ $true
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
1.60/1.77	     | app_encode_app(b, a, sk_Xh2, 
1.60/1.77	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	        != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	             app_encode_app(b, a, sk_Xh2, 
1.60/1.77	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))
1.60/1.77	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
1.60/1.77	    inference('sup-', [status(thm)], ['7', '8'])).
1.60/1.77	tff('10', plain,
1.60/1.77	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
1.60/1.77	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
1.60/1.77	     | app_encode_app(b, a, sk_Xh2, 
1.60/1.77	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	        != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	             app_encode_app(b, a, sk_Xh2, 
1.60/1.77	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
1.60/1.77	    inference('simplify', [status(thm)], ['9'])).
1.60/1.77	tff('11', plain,
1.60/1.77	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
1.60/1.77	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
1.60/1.77	     | app_encode_app(b, a, sk_Xh2, 
1.60/1.77	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	        != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	             app_encode_app(b, a, sk_Xh2, 
1.60/1.77	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))),
1.60/1.77	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.77	tff('12', plain,
1.60/1.77	    (app_encode_app(b, a, sk_Xh2, 
1.60/1.77	       app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	      != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
1.60/1.77	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
1.60/1.77	    inference('clc', [status(thm)], ['10', '11'])).
1.60/1.77	tff('13', plain,
1.60/1.77	    ![X5 : a]:
1.60/1.77	      (app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, X5))
1.60/1.77	       | ~ app_encode_app(a, $o, sk_Xs3, X5)),
1.60/1.77	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.77	tff('14', plain,
1.60/1.77	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
1.60/1.77	     | app_encode_app(b, a, sk_Xh2, 
1.60/1.77	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	        != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	             app_encode_app(b, a, sk_Xh2, 
1.60/1.77	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))),
1.60/1.77	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.77	tff('15', plain,
1.60/1.77	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, 
1.60/1.77	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
1.60/1.77	     | app_encode_app(b, a, sk_Xh2, 
1.60/1.77	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	        != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	             app_encode_app(b, a, sk_Xh2, 
1.60/1.77	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))),
1.60/1.77	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.77	tff('16', plain,
1.60/1.77	    (~ $true
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
1.60/1.77	     | app_encode_app(b, a, sk_Xh2, 
1.60/1.77	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	        != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	             app_encode_app(b, a, sk_Xh2, 
1.60/1.77	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
1.60/1.77	    inference('sup-', [status(thm)], ['7', '15'])).
1.60/1.77	tff('17', plain,
1.60/1.77	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
1.60/1.77	     | app_encode_app(b, a, sk_Xh2, 
1.60/1.77	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	        != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	             app_encode_app(b, a, sk_Xh2, 
1.60/1.77	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
1.60/1.77	    inference('simplify', [status(thm)], ['16'])).
1.60/1.77	tff('18', plain,
1.60/1.77	    ![X6 : g]:
1.60/1.77	      (app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, X6))
1.60/1.77	       | ~ app_encode_app(g, $o, sk_Xs1, X6)),
1.60/1.77	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.77	tff('19', plain,
1.60/1.77	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, 
1.60/1.77	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
1.60/1.77	     | app_encode_app(b, a, sk_Xh2, 
1.60/1.77	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	        != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	             app_encode_app(b, a, sk_Xh2, 
1.60/1.77	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))),
1.60/1.77	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.77	tff('20', plain,
1.60/1.77	    (~ $true
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
1.60/1.77	     | app_encode_app(b, a, sk_Xh2, 
1.60/1.77	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	        != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	             app_encode_app(b, a, sk_Xh2, 
1.60/1.77	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))),
1.60/1.77	    inference('sup-', [status(thm)], ['7', '19'])).
1.60/1.77	tff('21', plain,
1.60/1.77	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
1.60/1.77	     | app_encode_app(b, a, sk_Xh2, 
1.60/1.77	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	        != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	             app_encode_app(b, a, sk_Xh2, 
1.60/1.77	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
1.60/1.77	    inference('simplify', [status(thm)], ['20'])).
1.60/1.77	tff('22', plain,
1.60/1.77	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
1.60/1.77	     | app_encode_app(b, a, sk_Xh2, 
1.60/1.77	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	        != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	             app_encode_app(b, a, sk_Xh2, 
1.60/1.77	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))),
1.60/1.77	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.77	tff('23', plain,
1.60/1.77	    (app_encode_app(b, a, sk_Xh2, 
1.60/1.77	       app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	      != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))),
1.60/1.77	    inference('clc', [status(thm)], ['21', '22'])).
1.60/1.77	tff('24', plain,
1.60/1.77	    (~ $true
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
1.60/1.77	     | app_encode_app(b, a, sk_Xh2, 
1.60/1.77	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	        != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	             app_encode_app(b, a, sk_Xh2, 
1.60/1.77	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))),
1.60/1.77	    inference('sup-', [status(thm)], ['13', '23'])).
1.60/1.77	tff('25', plain,
1.60/1.77	    (app_encode_app(b, a, sk_Xh2, 
1.60/1.77	       app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	      != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
1.60/1.77	    inference('simplify', [status(thm)], ['24'])).
1.60/1.77	tff('26', plain,
1.60/1.77	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
1.60/1.77	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, 
1.60/1.77	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
1.60/1.77	     | app_encode_app(b, a, sk_Xh2, 
1.60/1.77	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	        != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	             app_encode_app(b, a, sk_Xh2, 
1.60/1.77	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))),
1.60/1.77	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.77	tff('27', plain,
1.60/1.77	    (~ $true
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
1.60/1.77	     | app_encode_app(b, a, sk_Xh2, 
1.60/1.77	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	        != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	             app_encode_app(b, a, sk_Xh2, 
1.60/1.77	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))
1.60/1.77	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))),
1.60/1.77	    inference('sup-', [status(thm)], ['7', '26'])).
1.60/1.77	tff('28', plain,
1.60/1.77	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
1.60/1.77	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
1.60/1.77	     | app_encode_app(b, a, sk_Xh2, 
1.60/1.77	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	        != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	             app_encode_app(b, a, sk_Xh2, 
1.60/1.77	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
1.60/1.77	    inference('simplify', [status(thm)], ['27'])).
1.60/1.77	tff('29', plain,
1.60/1.77	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
1.60/1.77	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
1.60/1.77	     | app_encode_app(b, a, sk_Xh2, 
1.60/1.77	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	        != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	             app_encode_app(b, a, sk_Xh2, 
1.60/1.77	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))),
1.60/1.77	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.77	tff('30', plain,
1.60/1.77	    (app_encode_app(b, a, sk_Xh2, 
1.60/1.77	       app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	      != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
1.60/1.77	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))),
1.60/1.77	    inference('clc', [status(thm)], ['28', '29'])).
1.60/1.77	tff('31', plain,
1.60/1.77	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
1.60/1.77	     | app_encode_app(b, a, sk_Xh2, 
1.60/1.77	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	        != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	             app_encode_app(b, a, sk_Xh2, 
1.60/1.77	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))),
1.60/1.77	    inference('clc', [status(thm)], ['25', '30'])).
1.60/1.77	tff('32', plain,
1.60/1.77	    (~ $true
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
1.60/1.77	     | app_encode_app(b, a, sk_Xh2, 
1.60/1.77	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	        != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	             app_encode_app(b, a, sk_Xh2, 
1.60/1.77	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))),
1.60/1.77	    inference('sup-', [status(thm)], ['18', '31'])).
1.60/1.77	tff('33', plain,
1.60/1.77	    (app_encode_app(b, a, sk_Xh2, 
1.60/1.77	       app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	      != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)),
1.60/1.77	    inference('simplify', [status(thm)], ['32'])).
1.60/1.77	tff('34', plain,
1.60/1.77	    (~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
1.60/1.77	     | app_encode_app(b, a, sk_Xh2, 
1.60/1.77	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	        != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	             app_encode_app(b, a, sk_Xh2, 
1.60/1.77	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))),
1.60/1.77	    inference('clc', [status(thm)], ['17', '33'])).
1.60/1.77	tff('35', plain,
1.60/1.77	    (~ $true
1.60/1.77	     | app_encode_app(b, a, sk_Xh2, 
1.60/1.77	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	        != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	             app_encode_app(b, a, sk_Xh2, 
1.60/1.77	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
1.60/1.77	     | app_encode_app(b, a, sk_Xh2, 
1.60/1.77	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	        != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	             app_encode_app(b, a, sk_Xh2, 
1.60/1.77	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))),
1.60/1.77	    inference('sup-', [status(thm)], ['14', '34'])).
1.60/1.77	tff('36', plain,
1.60/1.77	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
1.60/1.77	     | app_encode_app(b, a, sk_Xh2, 
1.60/1.77	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	        != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	             app_encode_app(b, a, sk_Xh2, 
1.60/1.77	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))),
1.60/1.77	    inference('simplify', [status(thm)], ['35'])).
1.60/1.77	tff('37', plain,
1.60/1.77	    (app_encode_app(b, a, sk_Xh2, 
1.60/1.77	       app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	      != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))),
1.60/1.77	    inference('clc', [status(thm)], ['36', '33'])).
1.60/1.77	tff('38', plain,
1.60/1.77	    (~ $true
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
1.60/1.77	     | app_encode_app(b, a, sk_Xh2, 
1.60/1.77	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	        != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	             app_encode_app(b, a, sk_Xh2, 
1.60/1.77	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))),
1.60/1.77	    inference('sup-', [status(thm)], ['13', '37'])).
1.60/1.77	tff('39', plain,
1.60/1.77	    (app_encode_app(b, a, sk_Xh2, 
1.60/1.77	       app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	      != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
1.60/1.77	    inference('simplify', [status(thm)], ['38'])).
1.60/1.77	tff('40', plain,
1.60/1.77	    (~ $true
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
1.60/1.77	     | app_encode_app(b, a, sk_Xh2, 
1.60/1.77	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	        != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	             app_encode_app(b, a, sk_Xh2, 
1.60/1.77	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))
1.60/1.77	     | app_encode_app(b, a, sk_Xh2, 
1.60/1.77	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	        != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	             app_encode_app(b, a, sk_Xh2, 
1.60/1.77	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))),
1.60/1.77	    inference('sup-', [status(thm)], ['12', '39'])).
1.60/1.77	tff('41', plain,
1.60/1.77	    (app_encode_app(b, a, sk_Xh2, 
1.60/1.77	       app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	      != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
1.60/1.77	    inference('simplify', [status(thm)], ['40'])).
1.60/1.77	tff('42', plain,
1.60/1.77	    app_encode_app(b, a, sk_Xh2, 
1.60/1.77	      app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	     != app_encode_app(a, a, sk_Xf3, 
1.60/1.77	          app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3))),
1.60/1.77	    inference('clc', [status(thm)], ['41', '33'])).
1.60/1.77	tff('43', plain,
1.60/1.77	    (app_encode_app(b, a, sk_Xh2, 
1.60/1.77	       app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	      != app_encode_app(b, a, sk_Xh2, 
1.60/1.77	           app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
1.60/1.77	    inference('sup-', [status(thm)], ['4', '42'])).
1.60/1.77	tff('44', plain,
1.60/1.77	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
1.60/1.77	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, 
1.60/1.77	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
1.60/1.77	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.77	tff('45', plain,
1.60/1.77	    (~ $true
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
1.60/1.77	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
1.60/1.77	    inference('sup-', [status(thm)], ['7', '44'])).
1.60/1.77	tff('46', plain,
1.60/1.77	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
1.60/1.77	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
1.60/1.77	    inference('simplify', [status(thm)], ['45'])).
1.60/1.77	tff('47', plain,
1.60/1.77	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
1.60/1.77	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
1.60/1.77	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.77	tff('48', plain,
1.60/1.77	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
1.60/1.77	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
1.60/1.77	    inference('clc', [status(thm)], ['46', '47'])).
1.60/1.77	tff('49', plain,
1.60/1.77	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
1.60/1.77	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.77	tff('50', plain,
1.60/1.77	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, 
1.60/1.77	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
1.60/1.77	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.77	tff('51', plain,
1.60/1.77	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, 
1.60/1.77	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
1.60/1.77	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.77	tff('52', plain,
1.60/1.77	    (~ $true
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))),
1.60/1.77	    inference('sup-', [status(thm)], ['7', '51'])).
1.60/1.77	tff('53', plain,
1.60/1.77	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
1.60/1.77	    inference('simplify', [status(thm)], ['52'])).
1.60/1.77	tff('54', plain,
1.60/1.77	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
1.60/1.77	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.77	tff('55', plain,
1.60/1.77	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))),
1.60/1.77	    inference('clc', [status(thm)], ['53', '54'])).
1.60/1.77	tff('56', plain,
1.60/1.77	    (~ $true
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
1.60/1.77	    inference('sup-', [status(thm)], ['13', '55'])).
1.60/1.77	tff('57', plain,
1.60/1.77	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
1.60/1.77	    inference('simplify', [status(thm)], ['56'])).
1.60/1.77	tff('58', plain,
1.60/1.77	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
1.60/1.77	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, 
1.60/1.77	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
1.60/1.77	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.77	tff('59', plain,
1.60/1.77	    (~ $true
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
1.60/1.77	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))),
1.60/1.77	    inference('sup-', [status(thm)], ['7', '58'])).
1.60/1.77	tff('60', plain,
1.60/1.77	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
1.60/1.77	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
1.60/1.77	    inference('simplify', [status(thm)], ['59'])).
1.60/1.77	tff('61', plain,
1.60/1.77	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
1.60/1.77	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
1.60/1.77	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.60/1.77	tff('62', plain,
1.60/1.77	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
1.60/1.77	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))),
1.60/1.77	    inference('clc', [status(thm)], ['60', '61'])).
1.60/1.77	tff('63', plain,
1.60/1.77	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
1.60/1.77	    inference('clc', [status(thm)], ['57', '62'])).
1.60/1.77	tff('64', plain,
1.60/1.77	    (~ $true
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
1.60/1.77	    inference('sup-', [status(thm)], ['18', '63'])).
1.60/1.77	tff('65', plain,
1.60/1.77	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)),
1.60/1.77	    inference('simplify', [status(thm)], ['64'])).
1.60/1.77	tff('66', plain,
1.60/1.77	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, 
1.60/1.77	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))),
1.60/1.77	    inference('clc', [status(thm)], ['50', '65'])).
1.60/1.77	tff('67', plain,
1.60/1.77	    (~ $true
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
1.60/1.77	    inference('sup-', [status(thm)], ['7', '66'])).
1.60/1.77	tff('68', plain,
1.60/1.77	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
1.60/1.77	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
1.60/1.77	    inference('simplify', [status(thm)], ['67'])).
1.60/1.77	tff('69', plain,
1.60/1.77	    (~ $true
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
1.60/1.77	    inference('sup-', [status(thm)], ['49', '68'])).
1.60/1.77	tff('70', plain,
1.60/1.77	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
1.60/1.77	    inference('simplify', [status(thm)], ['69'])).
1.60/1.77	tff('71', plain,
1.60/1.77	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))),
1.60/1.77	    inference('clc', [status(thm)], ['70', '65'])).
1.60/1.77	tff('72', plain,
1.60/1.77	    (~ $true
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
1.60/1.77	    inference('sup-', [status(thm)], ['13', '71'])).
1.60/1.77	tff('73', plain,
1.60/1.77	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
1.60/1.77	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
1.60/1.77	    inference('simplify', [status(thm)], ['72'])).
1.60/1.77	tff('74', plain,
1.60/1.77	    (~ $true
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
1.60/1.77	    inference('sup-', [status(thm)], ['48', '73'])).
1.60/1.77	tff('75', plain,
1.60/1.77	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
1.60/1.77	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
1.60/1.77	    inference('simplify', [status(thm)], ['74'])).
1.60/1.77	tff('76', plain, app_encode_app(g, $o, sk_Xs1, sk_Xx3),
1.60/1.77	    inference('clc', [status(thm)], ['75', '65'])).
1.60/1.77	tff('77', plain,
1.60/1.77	    (app_encode_app(b, a, sk_Xh2, 
1.60/1.77	       app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	      != app_encode_app(b, a, sk_Xh2, 
1.60/1.77	           app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
1.60/1.77	     | ~ $true),
1.60/1.77	    inference('demod', [status(thm)], ['43', '76'])).
1.60/1.77	tff('78', plain, $false, inference('simplify', [status(thm)], ['77'])).
1.60/1.77	
1.60/1.77	% SZS output end Refutation
1.60/1.77	EOF
