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    : kbo
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 $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n036.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 17:22:39 CST 2018
0.00/0.29	% done 91 iterations in 0.083s
0.00/0.29	% SZS status Theorem for 'stdin'
0.00/0.29	% SZS output start Refutation
0.00/0.29	tff(zf_stmt_6, conjecture,
0.00/0.29	  (![Xh1:app_encode_fun(g,b),Xh2:app_encode_fun(b,a),
0.00/0.29	     Xs1:app_encode_fun(g,$o),Xf1:app_encode_fun(g,g),
0.00/0.29	     Xs2:app_encode_fun(b,$o),Xf2:app_encode_fun(b,b),
0.00/0.29	     Xs3:app_encode_fun(a,$o),Xf3:app_encode_fun(a,a)]:
0.00/0.29	     (((![Xx:g]:
0.00/0.29	          (app_encode_app(g,$o,Xs1,Xx) =>
0.00/0.29	           app_encode_app(g,$o,Xs1,app_encode_app(g,g,Xf1,Xx)))) & 
0.00/0.29	       (![Xx:b]:
0.00/0.29	          (app_encode_app(b,$o,Xs2,Xx) =>
0.00/0.29	           app_encode_app(b,$o,Xs2,app_encode_app(b,b,Xf2,Xx)))) & 
0.00/0.29	       (![Xx:g]:
0.00/0.29	          (app_encode_app(g,$o,Xs1,Xx) =>
0.00/0.29	           app_encode_app(b,$o,Xs2,app_encode_app(g,b,Xh1,Xx)))) & 
0.00/0.29	       (![Xx:g]:
0.00/0.29	          (app_encode_app(g,$o,Xs1,Xx) =>
0.00/0.29	           (app_encode_app(g,b,Xh1,app_encode_app(g,g,Xf1,Xx)) =
0.00/0.29	            app_encode_app(b,b,Xf2,app_encode_app(g,b,Xh1,Xx))))) & 
0.00/0.29	       (![Xx:b]:
0.00/0.29	          (app_encode_app(b,$o,Xs2,Xx) =>
0.00/0.29	           app_encode_app(b,$o,Xs2,app_encode_app(b,b,Xf2,Xx)))) & 
0.00/0.29	       (![Xx:a]:
0.00/0.29	          (app_encode_app(a,$o,Xs3,Xx) =>
0.00/0.29	           app_encode_app(a,$o,Xs3,app_encode_app(a,a,Xf3,Xx)))) & 
0.00/0.29	       (![Xx:b]:
0.00/0.29	          (app_encode_app(b,$o,Xs2,Xx) =>
0.00/0.29	           app_encode_app(a,$o,Xs3,app_encode_app(b,a,Xh2,Xx)))) & 
0.00/0.29	       (![Xx:b]:
0.00/0.29	          (app_encode_app(b,$o,Xs2,Xx) =>
0.00/0.29	           (app_encode_app(b,a,Xh2,app_encode_app(b,b,Xf2,Xx)) =
0.00/0.29	            app_encode_app(a,a,Xf3,app_encode_app(b,a,Xh2,Xx)))))) =>
0.00/0.29	      ((![Xx:g]:
0.00/0.29	          (app_encode_app(g,$o,Xs1,Xx) =>
0.00/0.29	           app_encode_app(g,$o,Xs1,app_encode_app(g,g,Xf1,Xx)))) & 
0.00/0.29	       (![Xx:a]:
0.00/0.29	          (app_encode_app(a,$o,Xs3,Xx) =>
0.00/0.29	           app_encode_app(a,$o,Xs3,app_encode_app(a,a,Xf3,Xx)))) & 
0.00/0.29	       (![Xx:g]:
0.00/0.29	          (app_encode_app(g,$o,Xs1,Xx) =>
0.00/0.29	           app_encode_app(a,$o,Xs3,
0.00/0.29	                          app_encode_app(b,a,Xh2,app_encode_app(g,b,Xh1,Xx))))) & 
0.00/0.29	       (![Xx:g]:
0.00/0.29	          (app_encode_app(g,$o,Xs1,Xx) =>
0.00/0.29	           (app_encode_app(b,a,Xh2,
0.00/0.29	                           app_encode_app(g,b,Xh1,app_encode_app(g,g,Xf1,Xx))) =
0.00/0.29	            app_encode_app(a,a,Xf3,
0.00/0.29	                           app_encode_app(b,a,Xh2,app_encode_app(g,b,Xh1,Xx)))))))))).
0.00/0.29	tff(zf_stmt_0, negated_conjecture,
0.00/0.29	  (~
0.00/0.29	    (![Xh1:app_encode_fun(g,b),Xh2:app_encode_fun(b,a),
0.00/0.29	       Xs1:app_encode_fun(g,$o),Xf1:app_encode_fun(g,g),
0.00/0.29	       Xs2:app_encode_fun(b,$o),Xf2:app_encode_fun(b,b),
0.00/0.29	       Xs3:app_encode_fun(a,$o),Xf3:app_encode_fun(a,a)]:
0.00/0.29	       (((![Xx:g]:
0.00/0.29	            (app_encode_app(g,$o,Xs1,Xx) =>
0.00/0.29	             app_encode_app(g,$o,Xs1,app_encode_app(g,g,Xf1,Xx)))) & 
0.00/0.29	         (![Xx:b]:
0.00/0.29	            (app_encode_app(b,$o,Xs2,Xx) =>
0.00/0.29	             app_encode_app(b,$o,Xs2,app_encode_app(b,b,Xf2,Xx)))) & 
0.00/0.29	         (![Xx:g]:
0.00/0.29	            (app_encode_app(g,$o,Xs1,Xx) =>
0.00/0.29	             app_encode_app(b,$o,Xs2,app_encode_app(g,b,Xh1,Xx)))) & 
0.00/0.29	         (![Xx:g]:
0.00/0.29	            (app_encode_app(g,$o,Xs1,Xx) =>
0.00/0.29	             (app_encode_app(g,b,Xh1,app_encode_app(g,g,Xf1,Xx)) =
0.00/0.29	              app_encode_app(b,b,Xf2,app_encode_app(g,b,Xh1,Xx))))) & 
0.00/0.29	         (![Xx:b]:
0.00/0.29	            (app_encode_app(b,$o,Xs2,Xx) =>
0.00/0.29	             app_encode_app(b,$o,Xs2,app_encode_app(b,b,Xf2,Xx)))) & 
0.00/0.29	         (![Xx:a]:
0.00/0.29	            (app_encode_app(a,$o,Xs3,Xx) =>
0.00/0.29	             app_encode_app(a,$o,Xs3,app_encode_app(a,a,Xf3,Xx)))) & 
0.00/0.29	         (![Xx:b]:
0.00/0.29	            (app_encode_app(b,$o,Xs2,Xx) =>
0.00/0.29	             app_encode_app(a,$o,Xs3,app_encode_app(b,a,Xh2,Xx)))) & 
0.00/0.29	         (![Xx:b]:
0.00/0.29	            (app_encode_app(b,$o,Xs2,Xx) =>
0.00/0.29	             (app_encode_app(b,a,Xh2,app_encode_app(b,b,Xf2,Xx)) =
0.00/0.29	              app_encode_app(a,a,Xf3,app_encode_app(b,a,Xh2,Xx)))))) =>
0.00/0.29	        ((![Xx:g]:
0.00/0.29	            (app_encode_app(g,$o,Xs1,Xx) =>
0.00/0.29	             app_encode_app(g,$o,Xs1,app_encode_app(g,g,Xf1,Xx)))) & 
0.00/0.29	         (![Xx:a]:
0.00/0.29	            (app_encode_app(a,$o,Xs3,Xx) =>
0.00/0.29	             app_encode_app(a,$o,Xs3,app_encode_app(a,a,Xf3,Xx)))) & 
0.00/0.29	         (![Xx:g]:
0.00/0.29	            (app_encode_app(g,$o,Xs1,Xx) =>
0.00/0.29	             app_encode_app(a,$o,Xs3,
0.00/0.29	                            app_encode_app(b,a,Xh2,app_encode_app(g,b,Xh1,Xx))))) & 
0.00/0.29	         (![Xx:g]:
0.00/0.29	            (app_encode_app(g,$o,Xs1,Xx) =>
0.00/0.29	             (app_encode_app(b,a,Xh2,
0.00/0.29	                             app_encode_app(g,b,Xh1,
0.00/0.29	                                            app_encode_app(g,g,Xf1,Xx))) =
0.00/0.29	              app_encode_app(a,a,Xf3,
0.00/0.29	                             app_encode_app(b,a,Xh2,
0.00/0.29	                                            app_encode_app(g,b,Xh1,Xx))))))))))).
0.00/0.29	tff('0', plain,
0.00/0.29	    ![X5 : a]:
0.00/0.29	      (app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, X5))
0.00/0.29	       | ~ app_encode_app(a, $o, sk_Xs3, X5)),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('1', plain,
0.00/0.29	    ![X8 : g]:
0.00/0.29	      (app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, X8))
0.00/0.29	       | ~ app_encode_app(g, $o, sk_Xs1, X8)),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('2', plain,
0.00/0.29	    ![X11 : b]:
0.00/0.29	      (app_encode_app(a, $o, sk_Xs3, app_encode_app(b, a, sk_Xh2, X11))
0.00/0.29	       | ~ app_encode_app(b, $o, sk_Xs2, X11)),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('3', plain,
0.00/0.29	    ![X9 : g]:
0.00/0.29	      (app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, X9))
0.00/0.29	        = app_encode_app(b, b, sk_Xf2, app_encode_app(g, b, sk_Xh1, X9))
0.00/0.29	       | ~ app_encode_app(g, $o, sk_Xs1, X9)),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('4', plain,
0.00/0.29	    ![X4 : b]:
0.00/0.29	      (app_encode_app(b, a, sk_Xh2, app_encode_app(b, b, sk_Xf2, X4))
0.00/0.29	        = app_encode_app(a, a, sk_Xf3, app_encode_app(b, a, sk_Xh2, X4))
0.00/0.29	       | ~ app_encode_app(b, $o, sk_Xs2, X4)),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('5', plain,
0.00/0.29	    ![X0 : g]:
0.00/0.29	      (app_encode_app(b, a, sk_Xh2, 
0.00/0.29	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, X0)))
0.00/0.29	        = app_encode_app(a, a, sk_Xf3, 
0.00/0.29	            app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, X0)))
0.00/0.29	       | ~ app_encode_app(g, $o, sk_Xs1, X0)
0.00/0.29	       | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, X0))),
0.00/0.29	    inference('sup+', [status(thm)], ['3', '4'])).
0.00/0.29	tff('6', plain,
0.00/0.29	    ![X0 : g]:
0.00/0.29	      (~ app_encode_app(g, $o, sk_Xs1, X0)
0.00/0.29	       | app_encode_app(b, a, sk_Xh2, 
0.00/0.29	           app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, X0)))
0.00/0.29	          = app_encode_app(a, a, sk_Xf3, 
0.00/0.29	              app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, X0)))),
0.00/0.29	    inference('clc', [status(thm)], ['5', '1'])).
0.00/0.29	tff('7', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.29	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.29	     | app_encode_app(b, a, sk_Xh2, 
0.00/0.29	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
0.00/0.29	        != app_encode_app(a, a, sk_Xf3, 
0.00/0.29	             app_encode_app(b, a, sk_Xh2, 
0.00/0.29	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('8', plain,
0.00/0.29	    ![X6 : g]:
0.00/0.29	      (app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, X6))
0.00/0.29	       | ~ app_encode_app(g, $o, sk_Xs1, X6)),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('9', plain,
0.00/0.29	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.29	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.29	     | app_encode_app(b, a, sk_Xh2, 
0.00/0.29	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
0.00/0.29	        != app_encode_app(a, a, sk_Xf3, 
0.00/0.29	             app_encode_app(b, a, sk_Xh2, 
0.00/0.29	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('10', plain,
0.00/0.29	    (app_encode_app(a, a, sk_Xf3, 
0.00/0.29	       app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.29	      != app_encode_app(a, a, sk_Xf3, 
0.00/0.29	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.29	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))),
0.00/0.29	    inference('sup-', [status(thm)], ['6', '9'])).
0.00/0.29	tff('11', plain,
0.00/0.29	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.29	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.29	    inference('simplify', [status(thm)], ['10'])).
0.00/0.29	tff('12', plain,
0.00/0.29	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.29	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('13', plain,
0.00/0.29	    (~ $true
0.00/0.29	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))),
0.00/0.29	    inference('sup-', [status(thm)], ['2', '12'])).
0.00/0.29	tff('14', plain,
0.00/0.29	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.29	    inference('simplify', [status(thm)], ['13'])).
0.00/0.29	tff('15', plain,
0.00/0.29	    (~ $true
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))),
0.00/0.29	    inference('sup-', [status(thm)], ['1', '14'])).
0.00/0.29	tff('16', plain,
0.00/0.29	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.29	    inference('simplify', [status(thm)], ['15'])).
0.00/0.29	tff('17', plain,
0.00/0.29	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('18', plain,
0.00/0.29	    (~ $true
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))),
0.00/0.29	    inference('sup-', [status(thm)], ['0', '17'])).
0.00/0.29	tff('19', plain,
0.00/0.29	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.29	    inference('simplify', [status(thm)], ['18'])).
0.00/0.29	tff('20', plain,
0.00/0.29	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('21', plain,
0.00/0.29	    (~ $true
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.29	    inference('sup-', [status(thm)], ['8', '20'])).
0.00/0.29	tff('22', plain,
0.00/0.29	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.29	    inference('simplify', [status(thm)], ['21'])).
0.00/0.29	tff('23', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('24', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.29	    inference('clc', [status(thm)], ['22', '23'])).
0.00/0.29	tff('25', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))),
0.00/0.29	    inference('clc', [status(thm)], ['19', '24'])).
0.00/0.29	tff('26', plain,
0.00/0.29	    (~ $true
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.29	    inference('sup-', [status(thm)], ['8', '25'])).
0.00/0.29	tff('27', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.29	    inference('simplify', [status(thm)], ['26'])).
0.00/0.29	tff('28', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('29', plain,
0.00/0.29	    (~ $true
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.29	    inference('sup-', [status(thm)], ['0', '28'])).
0.00/0.29	tff('30', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.29	    inference('simplify', [status(thm)], ['29'])).
0.00/0.29	tff('31', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.29	    inference('clc', [status(thm)], ['30', '24'])).
0.00/0.29	tff('32', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.29	    inference('clc', [status(thm)], ['27', '31'])).
0.00/0.29	tff('33', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))),
0.00/0.29	    inference('clc', [status(thm)], ['16', '32'])).
0.00/0.29	tff('34', plain,
0.00/0.29	    (~ $true
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.29	    inference('sup-', [status(thm)], ['0', '33'])).
0.00/0.29	tff('35', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.29	    inference('simplify', [status(thm)], ['34'])).
0.00/0.29	tff('36', plain,
0.00/0.29	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.29	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.29	     | app_encode_app(b, a, sk_Xh2, 
0.00/0.29	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
0.00/0.29	        != app_encode_app(a, a, sk_Xf3, 
0.00/0.29	             app_encode_app(b, a, sk_Xh2, 
0.00/0.29	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('37', plain,
0.00/0.29	    (app_encode_app(a, a, sk_Xf3, 
0.00/0.29	       app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.29	      != app_encode_app(a, a, sk_Xf3, 
0.00/0.29	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.29	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))),
0.00/0.29	    inference('sup-', [status(thm)], ['6', '36'])).
0.00/0.29	tff('38', plain,
0.00/0.29	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.29	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.29	    inference('simplify', [status(thm)], ['37'])).
0.00/0.29	tff('39', plain,
0.00/0.29	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.29	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('40', plain,
0.00/0.29	    (~ $true
0.00/0.29	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))),
0.00/0.29	    inference('sup-', [status(thm)], ['2', '39'])).
0.00/0.29	tff('41', plain,
0.00/0.29	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.29	    inference('simplify', [status(thm)], ['40'])).
0.00/0.29	tff('42', plain,
0.00/0.29	    (~ $true
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))),
0.00/0.29	    inference('sup-', [status(thm)], ['1', '41'])).
0.00/0.29	tff('43', plain,
0.00/0.29	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.29	    inference('simplify', [status(thm)], ['42'])).
0.00/0.29	tff('44', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))),
0.00/0.29	    inference('clc', [status(thm)], ['43', '32'])).
0.00/0.29	tff('45', plain,
0.00/0.29	    (~ $true
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.29	    inference('sup-', [status(thm)], ['8', '44'])).
0.00/0.29	tff('46', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.29	    inference('simplify', [status(thm)], ['45'])).
0.00/0.29	tff('47', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.29	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('48', plain,
0.00/0.29	    (~ $true
0.00/0.29	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.29	    inference('sup-', [status(thm)], ['2', '47'])).
0.00/0.29	tff('49', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.29	    inference('simplify', [status(thm)], ['48'])).
0.00/0.29	tff('50', plain,
0.00/0.29	    (~ $true
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.29	    inference('sup-', [status(thm)], ['1', '49'])).
0.00/0.29	tff('51', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.29	    inference('simplify', [status(thm)], ['50'])).
0.00/0.29	tff('52', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.29	    inference('clc', [status(thm)], ['51', '32'])).
0.00/0.29	tff('53', plain,
0.00/0.29	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.29	    inference('clc', [status(thm)], ['46', '52'])).
0.00/0.29	tff('54', plain,
0.00/0.29	    (~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.29	         app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))),
0.00/0.29	    inference('clc', [status(thm)], ['38', '53'])).
0.00/0.29	tff('55', plain,
0.00/0.29	    (~ $true
0.00/0.29	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.29	    inference('sup-', [status(thm)], ['2', '54'])).
0.00/0.29	tff('56', plain,
0.00/0.29	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.29	    inference('simplify', [status(thm)], ['55'])).
0.00/0.29	tff('57', plain,
0.00/0.29	    (~ $true
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.29	    inference('sup-', [status(thm)], ['1', '56'])).
0.00/0.29	tff('58', plain,
0.00/0.29	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.29	    inference('simplify', [status(thm)], ['57'])).
0.00/0.29	tff('59', plain,
0.00/0.29	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | app_encode_app(b, a, sk_Xh2, 
0.00/0.29	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
0.00/0.29	        != app_encode_app(a, a, sk_Xf3, 
0.00/0.29	             app_encode_app(b, a, sk_Xh2, 
0.00/0.29	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('60', plain,
0.00/0.29	    (app_encode_app(a, a, sk_Xf3, 
0.00/0.29	       app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.29	      != app_encode_app(a, a, sk_Xf3, 
0.00/0.29	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))),
0.00/0.29	    inference('sup-', [status(thm)], ['6', '59'])).
0.00/0.29	tff('61', plain,
0.00/0.29	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.29	    inference('simplify', [status(thm)], ['60'])).
0.00/0.29	tff('62', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))),
0.00/0.29	    inference('clc', [status(thm)], ['61', '53'])).
0.00/0.29	tff('63', plain,
0.00/0.29	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.29	    inference('clc', [status(thm)], ['58', '62'])).
0.00/0.29	tff('64', plain,
0.00/0.29	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.29	    inference('clc', [status(thm)], ['35', '63'])).
0.00/0.29	tff('65', plain,
0.00/0.29	    (~ $true
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.29	    inference('sup-', [status(thm)], ['8', '64'])).
0.00/0.29	tff('66', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.29	    inference('simplify', [status(thm)], ['65'])).
0.00/0.29	tff('67', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.29	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('68', plain,
0.00/0.29	    (~ $true
0.00/0.29	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.29	    inference('sup-', [status(thm)], ['2', '67'])).
0.00/0.29	tff('69', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.29	    inference('simplify', [status(thm)], ['68'])).
0.00/0.29	tff('70', plain,
0.00/0.29	    (~ $true
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.29	    inference('sup-', [status(thm)], ['1', '69'])).
0.00/0.29	tff('71', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.29	    inference('simplify', [status(thm)], ['70'])).
0.00/0.29	tff('72', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.29	    inference('clc', [status(thm)], ['71', '32'])).
0.00/0.29	tff('73', plain,
0.00/0.29	    (~ $true
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.29	    inference('sup-', [status(thm)], ['0', '72'])).
0.00/0.29	tff('74', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.29	    inference('simplify', [status(thm)], ['73'])).
0.00/0.29	tff('75', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx3)),
0.00/0.29	    inference('clc', [status(thm)], ['74', '53'])).
0.00/0.29	tff('76', plain, app_encode_app(g, $o, sk_Xs1, sk_Xx3),
0.00/0.29	    inference('clc', [status(thm)], ['66', '75'])).
0.00/0.29	tff('77', plain,
0.00/0.29	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.29	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.29	     | ~ $true),
0.00/0.29	    inference('demod', [status(thm)], ['11', '76'])).
0.00/0.29	tff('78', plain,
0.00/0.29	    (~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.29	         app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))),
0.00/0.29	    inference('simplify', [status(thm)], ['77'])).
0.00/0.29	tff('79', plain,
0.00/0.29	    (~ $true
0.00/0.29	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))),
0.00/0.29	    inference('sup-', [status(thm)], ['2', '78'])).
0.00/0.29	tff('80', plain,
0.00/0.29	    (~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.29	    inference('simplify', [status(thm)], ['79'])).
0.00/0.29	tff('81', plain,
0.00/0.29	    (~ $true
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))),
0.00/0.29	    inference('sup-', [status(thm)], ['1', '80'])).
0.00/0.29	tff('82', plain,
0.00/0.29	    (~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.29	    inference('simplify', [status(thm)], ['81'])).
0.00/0.29	tff('83', plain,
0.00/0.29	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | app_encode_app(b, a, sk_Xh2, 
0.00/0.29	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
0.00/0.29	        != app_encode_app(a, a, sk_Xf3, 
0.00/0.29	             app_encode_app(b, a, sk_Xh2, 
0.00/0.29	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('84', plain,
0.00/0.29	    (app_encode_app(a, a, sk_Xf3, 
0.00/0.29	       app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.29	      != app_encode_app(a, a, sk_Xf3, 
0.00/0.29	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))),
0.00/0.29	    inference('sup-', [status(thm)], ['6', '83'])).
0.00/0.29	tff('85', plain,
0.00/0.29	    (app_encode_app(a, a, sk_Xf3, 
0.00/0.29	       app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.29	      != app_encode_app(a, a, sk_Xf3, 
0.00/0.29	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.29	     | ~ $true
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))),
0.00/0.29	    inference('demod', [status(thm)], ['84', '76'])).
0.00/0.29	tff('86', plain,
0.00/0.29	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.29	    inference('simplify', [status(thm)], ['85'])).
0.00/0.29	tff('87', plain,
0.00/0.29	    (~ $true
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))),
0.00/0.29	    inference('sup-', [status(thm)], ['0', '86'])).
0.00/0.29	tff('88', plain,
0.00/0.29	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.29	    inference('simplify', [status(thm)], ['87'])).
0.00/0.29	tff('89', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))),
0.00/0.29	    inference('clc', [status(thm)], ['88', '63'])).
0.00/0.29	tff('90', plain,
0.00/0.29	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))),
0.00/0.29	    inference('clc', [status(thm)], ['82', '89'])).
0.00/0.29	tff('91', plain,
0.00/0.29	    (~ $true
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))),
0.00/0.29	    inference('sup-', [status(thm)], ['0', '90'])).
0.00/0.29	tff('92', plain,
0.00/0.29	    (~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx))
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.29	    inference('simplify', [status(thm)], ['91'])).
0.00/0.29	tff('93', plain,
0.00/0.29	    ~ app_encode_app(g, $o, sk_Xs1, app_encode_app(g, g, sk_Xf1, sk_Xx)),
0.00/0.29	    inference('clc', [status(thm)], ['92', '63'])).
0.00/0.29	tff('94', plain, (~ $true | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx)),
0.00/0.29	    inference('sup-', [status(thm)], ['8', '93'])).
0.00/0.29	tff('95', plain, ~ app_encode_app(g, $o, sk_Xs1, sk_Xx),
0.00/0.29	    inference('simplify', [status(thm)], ['94'])).
0.00/0.29	tff('96', plain,
0.00/0.29	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.29	       app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
0.00/0.29	      != app_encode_app(a, a, sk_Xf3, 
0.00/0.29	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.29	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))),
0.00/0.29	    inference('clc', [status(thm)], ['7', '95'])).
0.00/0.29	tff('97', plain,
0.00/0.29	    (app_encode_app(a, a, sk_Xf3, 
0.00/0.29	       app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.29	      != app_encode_app(a, a, sk_Xf3, 
0.00/0.29	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.29	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.00/0.29	    inference('sup-', [status(thm)], ['6', '96'])).
0.00/0.29	tff('98', plain,
0.00/0.29	    (app_encode_app(a, a, sk_Xf3, 
0.00/0.29	       app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.29	      != app_encode_app(a, a, sk_Xf3, 
0.00/0.29	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.29	     | ~ $true
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.29	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.00/0.29	    inference('demod', [status(thm)], ['97', '76'])).
0.00/0.29	tff('99', plain,
0.00/0.29	    (~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.29	         app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))),
0.00/0.29	    inference('simplify', [status(thm)], ['98'])).
0.00/0.29	tff('100', plain,
0.00/0.29	    (~ $true
0.00/0.29	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))),
0.00/0.29	    inference('sup-', [status(thm)], ['2', '99'])).
0.00/0.29	tff('101', plain,
0.00/0.29	    (~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.29	    inference('simplify', [status(thm)], ['100'])).
0.00/0.29	tff('102', plain,
0.00/0.29	    (~ $true
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))),
0.00/0.29	    inference('sup-', [status(thm)], ['1', '101'])).
0.00/0.29	tff('103', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | app_encode_app(b, a, sk_Xh2, 
0.00/0.29	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
0.00/0.29	        != app_encode_app(a, a, sk_Xf3, 
0.00/0.29	             app_encode_app(b, a, sk_Xh2, 
0.00/0.29	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('104', plain,
0.00/0.29	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.29	       app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
0.00/0.29	      != app_encode_app(a, a, sk_Xf3, 
0.00/0.29	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))),
0.00/0.29	    inference('clc', [status(thm)], ['103', '95'])).
0.00/0.29	tff('105', plain,
0.00/0.29	    (app_encode_app(a, a, sk_Xf3, 
0.00/0.29	       app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.29	      != app_encode_app(a, a, sk_Xf3, 
0.00/0.29	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.29	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.29	    inference('sup-', [status(thm)], ['6', '104'])).
0.00/0.29	tff('106', plain,
0.00/0.29	    (app_encode_app(a, a, sk_Xf3, 
0.00/0.29	       app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.29	      != app_encode_app(a, a, sk_Xf3, 
0.00/0.29	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.29	     | ~ $true
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.29	    inference('demod', [status(thm)], ['105', '76'])).
0.00/0.29	tff('107', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))),
0.00/0.29	    inference('simplify', [status(thm)], ['106'])).
0.00/0.29	tff('108', plain,
0.00/0.29	    (~ $true
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.29	    inference('sup-', [status(thm)], ['0', '107'])).
0.00/0.29	tff('109', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | app_encode_app(b, a, sk_Xh2, 
0.00/0.29	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
0.00/0.29	        != app_encode_app(a, a, sk_Xf3, 
0.00/0.29	             app_encode_app(b, a, sk_Xh2, 
0.00/0.29	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('110', plain,
0.00/0.29	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.29	       app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
0.00/0.29	      != app_encode_app(a, a, sk_Xf3, 
0.00/0.29	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.29	     | app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.29	    inference('clc', [status(thm)], ['109', '95'])).
0.00/0.29	tff('111', plain,
0.00/0.29	    (app_encode_app(g, $o, sk_Xs1, sk_Xx)
0.00/0.29	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.29	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.29	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.29	     | app_encode_app(b, a, sk_Xh2, 
0.00/0.30	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
0.00/0.30	        != app_encode_app(a, a, sk_Xf3, 
0.00/0.30	             app_encode_app(b, a, sk_Xh2, 
0.00/0.30	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))),
0.00/0.30	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.30	tff('112', plain,
0.00/0.30	    (app_encode_app(b, a, sk_Xh2, 
0.00/0.30	       app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
0.00/0.30	      != app_encode_app(a, a, sk_Xf3, 
0.00/0.30	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.30	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.30	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.30	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.30	    inference('clc', [status(thm)], ['111', '95'])).
0.00/0.30	tff('113', plain,
0.00/0.30	    (app_encode_app(a, a, sk_Xf3, 
0.00/0.30	       app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.30	      != app_encode_app(a, a, sk_Xf3, 
0.00/0.30	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.30	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.30	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.30	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.30	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.00/0.30	    inference('sup-', [status(thm)], ['6', '112'])).
0.00/0.30	tff('114', plain,
0.00/0.30	    (app_encode_app(a, a, sk_Xf3, 
0.00/0.30	       app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.30	      != app_encode_app(a, a, sk_Xf3, 
0.00/0.30	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.30	     | ~ $true
0.00/0.30	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.30	     | ~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.30	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))),
0.00/0.30	    inference('demod', [status(thm)], ['113', '76'])).
0.00/0.30	tff('115', plain,
0.00/0.30	    (~ app_encode_app(a, $o, sk_Xs3, 
0.00/0.30	         app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx2)))
0.00/0.30	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.30	    inference('simplify', [status(thm)], ['114'])).
0.00/0.30	tff('116', plain,
0.00/0.30	    (~ $true
0.00/0.30	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))
0.00/0.30	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.30	    inference('sup-', [status(thm)], ['2', '115'])).
0.00/0.30	tff('117', plain,
0.00/0.30	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.30	     | ~ app_encode_app(b, $o, sk_Xs2, app_encode_app(g, b, sk_Xh1, sk_Xx2))),
0.00/0.30	    inference('simplify', [status(thm)], ['116'])).
0.00/0.30	tff('118', plain,
0.00/0.30	    (~ $true
0.00/0.30	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)
0.00/0.30	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.30	    inference('sup-', [status(thm)], ['1', '117'])).
0.00/0.30	tff('119', plain,
0.00/0.30	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.30	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.30	    inference('simplify', [status(thm)], ['118'])).
0.00/0.30	tff('120', plain,
0.00/0.30	    (app_encode_app(a, $o, sk_Xs3, sk_Xx1)
0.00/0.30	     | app_encode_app(b, a, sk_Xh2, 
0.00/0.30	         app_encode_app(g, b, sk_Xh1, app_encode_app(g, g, sk_Xf1, sk_Xx3)))
0.00/0.30	        != app_encode_app(a, a, sk_Xf3, 
0.00/0.30	             app_encode_app(b, a, sk_Xh2, 
0.00/0.30	               app_encode_app(g, b, sk_Xh1, sk_Xx3)))),
0.00/0.30	    inference('clc', [status(thm)], ['110', '119'])).
0.00/0.30	tff('121', plain,
0.00/0.30	    (app_encode_app(a, a, sk_Xf3, 
0.00/0.30	       app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.30	      != app_encode_app(a, a, sk_Xf3, 
0.00/0.30	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.30	     | ~ app_encode_app(g, $o, sk_Xs1, sk_Xx3)
0.00/0.30	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.30	    inference('sup-', [status(thm)], ['6', '120'])).
0.00/0.30	tff('122', plain,
0.00/0.30	    (app_encode_app(a, a, sk_Xf3, 
0.00/0.30	       app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.30	      != app_encode_app(a, a, sk_Xf3, 
0.00/0.30	           app_encode_app(b, a, sk_Xh2, app_encode_app(g, b, sk_Xh1, sk_Xx3)))
0.00/0.30	     | ~ $true
0.00/0.30	     | app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.30	    inference('demod', [status(thm)], ['121', '76'])).
0.00/0.30	tff('123', plain, app_encode_app(a, $o, sk_Xs3, sk_Xx1),
0.00/0.30	    inference('simplify', [status(thm)], ['122'])).
0.00/0.30	tff('124', plain,
0.00/0.30	    (~ $true | ~ $true | app_encode_app(g, $o, sk_Xs1, sk_Xx2)),
0.00/0.30	    inference('demod', [status(thm)], ['108', '123'])).
0.00/0.30	tff('125', plain, app_encode_app(g, $o, sk_Xs1, sk_Xx2),
0.00/0.30	    inference('simplify', [status(thm)], ['124'])).
0.00/0.30	tff('126', plain,
0.00/0.30	    (~ $true
0.00/0.30	     | ~ $true
0.00/0.30	     | ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1))),
0.00/0.30	    inference('demod', [status(thm)], ['102', '125'])).
0.00/0.30	tff('127', plain,
0.00/0.30	    ~ app_encode_app(a, $o, sk_Xs3, app_encode_app(a, a, sk_Xf3, sk_Xx1)),
0.00/0.30	    inference('simplify', [status(thm)], ['126'])).
0.00/0.30	tff('128', plain, (~ $true | ~ app_encode_app(a, $o, sk_Xs3, sk_Xx1)),
0.00/0.30	    inference('sup-', [status(thm)], ['0', '127'])).
0.00/0.30	tff('129', plain, (~ $true | ~ $true),
0.00/0.30	    inference('demod', [status(thm)], ['128', '123'])).
0.00/0.30	tff('130', plain, $false, inference('simplify', [status(thm)], ['129'])).
0.00/0.30	
0.00/0.30	% SZS output end Refutation
0.00/0.30	EOF
