0.00/0.01	% File    : /export/starexec/sandbox/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 $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n139.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 17:20:09 CST 2018
0.44/0.65	% done 341 iterations in 0.436s
0.44/0.65	% SZS status Theorem for 'stdin'
0.44/0.65	% SZS output start Refutation
0.44/0.65	tff(zf_stmt_6, conjecture,
0.44/0.65	  (((![P:app_encode_fun(app_encode_fun(a,$o),$o)]:
0.44/0.65	       (((![E:app_encode_fun(a,$o)]:
0.44/0.65	            ((~(?[Xt:a]: app_encode_app(a,$o,E,Xt))) =>
0.44/0.65	             app_encode_app(app_encode_fun(a,$o),$o,P,E))) & 
0.44/0.65	         (![Y:app_encode_fun(a,$o),Xx:a,Z:app_encode_fun(a,$o)]:
0.44/0.65	            ((app_encode_app(app_encode_fun(a,$o),$o,P,Y) & 
0.44/0.65	              (![Xx_27:a]:
0.44/0.65	                 (app_encode_app(a,$o,Z,Xx_27) =>
0.44/0.65	                  (app_encode_app(a,$o,Y,Xx_27) | (Xx_27 = Xx))))) =>
0.44/0.65	             app_encode_app(app_encode_fun(a,$o),$o,P,Z)))) =>
0.44/0.65	        app_encode_app(app_encode_fun(a,$o),$o,P,cC))) & 
0.44/0.65	    (![Xx:a]: (app_encode_app(a,$o,cB,Xx) => app_encode_app(a,$o,cC,Xx)))) =>
0.44/0.65	   (![P:app_encode_fun(app_encode_fun(a,$o),$o)]:
0.44/0.65	      (((![E:app_encode_fun(a,$o)]:
0.44/0.65	           ((~(?[Xt:a]: app_encode_app(a,$o,E,Xt))) =>
0.44/0.65	            app_encode_app(app_encode_fun(a,$o),$o,P,E))) & 
0.44/0.65	        (![Y:app_encode_fun(a,$o),Xx:a,Z:app_encode_fun(a,$o)]:
0.44/0.65	           ((app_encode_app(app_encode_fun(a,$o),$o,P,Y) & 
0.44/0.65	             (![Xx_28:a]:
0.44/0.65	                (app_encode_app(a,$o,Z,Xx_28) =>
0.44/0.65	                 (app_encode_app(a,$o,Y,Xx_28) | (Xx_28 = Xx))))) =>
0.44/0.65	            app_encode_app(app_encode_fun(a,$o),$o,P,Z)))) =>
0.44/0.65	       app_encode_app(app_encode_fun(a,$o),$o,P,cB))))).
0.44/0.65	tff(zf_stmt_0, negated_conjecture,
0.44/0.65	  (~
0.44/0.65	    (((![P:app_encode_fun(app_encode_fun(a,$o),$o)]:
0.44/0.65	         (((![E:app_encode_fun(a,$o)]:
0.44/0.65	              ((~(?[Xt:a]: app_encode_app(a,$o,E,Xt))) =>
0.44/0.65	               app_encode_app(app_encode_fun(a,$o),$o,P,E))) & 
0.44/0.65	           (![Y:app_encode_fun(a,$o),Xx:a,Z:app_encode_fun(a,$o)]:
0.44/0.65	              ((app_encode_app(app_encode_fun(a,$o),$o,P,Y) & 
0.44/0.65	                (![Xx_27:a]:
0.44/0.65	                   (app_encode_app(a,$o,Z,Xx_27) =>
0.44/0.65	                    (app_encode_app(a,$o,Y,Xx_27) | (Xx_27 = Xx))))) =>
0.44/0.65	               app_encode_app(app_encode_fun(a,$o),$o,P,Z)))) =>
0.44/0.65	          app_encode_app(app_encode_fun(a,$o),$o,P,cC))) & 
0.44/0.65	      (![Xx:a]: (app_encode_app(a,$o,cB,Xx) => app_encode_app(a,$o,cC,Xx)))) =>
0.44/0.65	     (![P:app_encode_fun(app_encode_fun(a,$o),$o)]:
0.44/0.65	        (((![E:app_encode_fun(a,$o)]:
0.44/0.65	             ((~(?[Xt:a]: app_encode_app(a,$o,E,Xt))) =>
0.44/0.65	              app_encode_app(app_encode_fun(a,$o),$o,P,E))) & 
0.44/0.65	          (![Y:app_encode_fun(a,$o),Xx:a,Z:app_encode_fun(a,$o)]:
0.44/0.65	             ((app_encode_app(app_encode_fun(a,$o),$o,P,Y) & 
0.44/0.65	               (![Xx_28:a]:
0.44/0.65	                  (app_encode_app(a,$o,Z,Xx_28) =>
0.44/0.65	                   (app_encode_app(a,$o,Y,Xx_28) | (Xx_28 = Xx))))) =>
0.44/0.65	              app_encode_app(app_encode_fun(a,$o),$o,P,Z)))) =>
0.44/0.65	         app_encode_app(app_encode_fun(a,$o),$o,P,cB)))))).
0.44/0.65	tff('0', plain,
0.44/0.65	    ![X11 : app_encode_fun(a, $o)]:
0.44/0.65	      (app_encode_app(app_encode_fun(a, $o), $o, sk_P, X11)
0.44/0.65	       | app_encode_app(a, $o, X11, sk_Xt(X11))),
0.44/0.65	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.44/0.65	tff('1', plain,
0.44/0.65	    ![X4 : app_encode_fun(app_encode_fun(a, $o), $o), X5 : a]:
0.44/0.65	      (app_encode_app(app_encode_fun(a, $o), $o, X4, cC)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, X4, sk_Y(X4))
0.44/0.65	       | ~ app_encode_app(a, $o, sk_E(X4), X5)),
0.44/0.65	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.44/0.65	tff('2', plain,
0.44/0.65	    ![X0 : app_encode_fun(app_encode_fun(a, $o), $o)]:
0.44/0.65	      (~ $true
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_E(X0))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, X0, sk_Y(X0))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, X0, cC)),
0.44/0.65	    inference('sup-', [status(thm)], ['0', '1'])).
0.44/0.65	tff('3', plain,
0.44/0.65	    ![X0 : app_encode_fun(app_encode_fun(a, $o), $o)]:
0.44/0.65	      (app_encode_app(app_encode_fun(a, $o), $o, X0, cC)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, X0, sk_Y(X0))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_E(X0))),
0.44/0.65	    inference('simplify', [status(thm)], ['2'])).
0.44/0.65	tff('4', plain,
0.44/0.65	    ![X8 : app_encode_fun(a, $o), X9 : app_encode_fun(a, $o), X10 : a]:
0.44/0.65	      (~ app_encode_app(app_encode_fun(a, $o), $o, sk_P, X8)
0.44/0.65	       | app_encode_app(a, $o, X9, sk_Xx_28(X9, X10, X8))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, X9)),
0.44/0.65	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.44/0.65	tff('5', plain,
0.44/0.65	    ![X0 : app_encode_fun(a, $o), X1 : a]:
0.44/0.65	      (~ $true
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_E(sk_P))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, X0)
0.44/0.65	       | app_encode_app(a, $o, X0, sk_Xx_28(X0, X1, sk_Y(sk_P)))),
0.44/0.65	    inference('sup-', [status(thm)], ['3', '4'])).
0.44/0.65	tff('6', plain,
0.44/0.65	    ![X0 : app_encode_fun(a, $o), X1 : a]:
0.44/0.65	      (app_encode_app(a, $o, X0, sk_Xx_28(X0, X1, sk_Y(sk_P)))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, X0)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_E(sk_P))),
0.44/0.65	    inference('simplify', [status(thm)], ['5'])).
0.44/0.65	tff('7', plain,
0.44/0.65	    ![X4 : app_encode_fun(app_encode_fun(a, $o), $o)]:
0.44/0.65	      (app_encode_app(app_encode_fun(a, $o), $o, X4, cC)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, X4, sk_Y(X4))
0.44/0.65	       | ~ app_encode_app(app_encode_fun(a, $o), $o, X4, sk_E(X4))),
0.44/0.65	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.44/0.65	tff('8', plain,
0.44/0.65	    ![X0 : app_encode_fun(a, $o), X1 : a]:
0.44/0.65	      (~ $true
0.44/0.65	       | ~ app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_E(sk_P))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, X0)
0.44/0.65	       | app_encode_app(a, $o, X0, sk_Xx_28(X0, X1, sk_Y(sk_P)))),
0.44/0.65	    inference('sup-', [status(thm)], ['7', '4'])).
0.44/0.65	tff('9', plain,
0.44/0.65	    ![X0 : app_encode_fun(a, $o), X1 : a]:
0.44/0.65	      (app_encode_app(a, $o, X0, sk_Xx_28(X0, X1, sk_Y(sk_P)))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, X0)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | ~ app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_E(sk_P))),
0.44/0.65	    inference('simplify', [status(thm)], ['8'])).
0.44/0.65	tff('10', plain,
0.44/0.65	    ![X0 : app_encode_fun(a, $o), X1 : a]:
0.44/0.65	      (app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, X0)
0.44/0.65	       | app_encode_app(a, $o, X0, sk_Xx_28(X0, X1, sk_Y(sk_P)))),
0.44/0.65	    inference('clc', [status(thm)], ['6', '9'])).
0.44/0.65	tff('11', plain,
0.44/0.65	    ![X4 : app_encode_fun(app_encode_fun(a, $o), $o), X5 : a, X6 : a]:
0.44/0.65	      (app_encode_app(app_encode_fun(a, $o), $o, X4, cC)
0.44/0.65	       | ~ app_encode_app(a, $o, sk_Z1(X4), X6)
0.44/0.65	       | app_encode_app(a, $o, sk_Y(X4), X6)
0.44/0.65	       | X6 = sk_Xx(X4)
0.44/0.65	       | ~ app_encode_app(a, $o, sk_E(X4), X5)),
0.44/0.65	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.44/0.65	tff('12', plain,
0.44/0.65	    ![X0 : a, X1 : app_encode_fun(app_encode_fun(a, $o), $o), X2 : a]:
0.44/0.65	      (~ $true
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_Z1(X1))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | ~ app_encode_app(a, $o, sk_E(X1), X2)
0.44/0.65	       | sk_Xx_28(sk_Z1(X1), X0, sk_Y(sk_P)) = sk_Xx(X1)
0.44/0.65	       | app_encode_app(a, $o, sk_Y(X1), sk_Xx_28(sk_Z1(X1), X0, sk_Y(sk_P)))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, X1, cC)),
0.44/0.65	    inference('sup-', [status(thm)], ['10', '11'])).
0.44/0.65	tff('13', plain,
0.44/0.65	    ![X0 : a, X1 : app_encode_fun(app_encode_fun(a, $o), $o), X2 : a]:
0.44/0.65	      (app_encode_app(app_encode_fun(a, $o), $o, X1, cC)
0.44/0.65	       | app_encode_app(a, $o, sk_Y(X1), sk_Xx_28(sk_Z1(X1), X0, sk_Y(sk_P)))
0.44/0.65	       | sk_Xx_28(sk_Z1(X1), X0, sk_Y(sk_P)) = sk_Xx(X1)
0.44/0.65	       | ~ app_encode_app(a, $o, sk_E(X1), X2)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_Z1(X1))),
0.44/0.65	    inference('simplify', [status(thm)], ['12'])).
0.44/0.65	tff('14', plain,
0.44/0.65	    ![X0 : app_encode_fun(app_encode_fun(a, $o), $o), X1 : a]:
0.44/0.65	      (~ $true
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_E(X0))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_Z1(X0))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | sk_Xx_28(sk_Z1(X0), X1, sk_Y(sk_P)) = sk_Xx(X0)
0.44/0.65	       | app_encode_app(a, $o, sk_Y(X0), sk_Xx_28(sk_Z1(X0), X1, sk_Y(sk_P)))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, X0, cC)),
0.44/0.65	    inference('sup-', [status(thm)], ['0', '13'])).
0.44/0.65	tff('15', plain,
0.44/0.65	    ![X0 : app_encode_fun(app_encode_fun(a, $o), $o), X1 : a]:
0.44/0.65	      (app_encode_app(app_encode_fun(a, $o), $o, X0, cC)
0.44/0.65	       | app_encode_app(a, $o, sk_Y(X0), sk_Xx_28(sk_Z1(X0), X1, sk_Y(sk_P)))
0.44/0.65	       | sk_Xx_28(sk_Z1(X0), X1, sk_Y(sk_P)) = sk_Xx(X0)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_Z1(X0))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_E(X0))),
0.44/0.65	    inference('simplify', [status(thm)], ['14'])).
0.44/0.65	tff('16', plain,
0.44/0.65	    ![X8 : app_encode_fun(a, $o), X9 : app_encode_fun(a, $o), X10 : a]:
0.44/0.65	      (~ app_encode_app(app_encode_fun(a, $o), $o, sk_P, X8)
0.44/0.65	       | ~ app_encode_app(a, $o, X8, sk_Xx_28(X9, X10, X8))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, X9)),
0.44/0.65	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.44/0.65	tff('17', plain,
0.44/0.65	    ![X0 : app_encode_fun(a, $o), X1 : a]:
0.44/0.65	      (~ $true
0.44/0.65	       | ~ app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_E(sk_P))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, X0)
0.44/0.65	       | ~ app_encode_app(a, $o, sk_Y(sk_P), sk_Xx_28(X0, X1, sk_Y(sk_P)))),
0.44/0.65	    inference('sup-', [status(thm)], ['7', '16'])).
0.44/0.65	tff('18', plain,
0.44/0.65	    ![X0 : app_encode_fun(a, $o), X1 : a]:
0.44/0.65	      (~ app_encode_app(a, $o, sk_Y(sk_P), sk_Xx_28(X0, X1, sk_Y(sk_P)))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, X0)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | ~ app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_E(sk_P))),
0.44/0.65	    inference('simplify', [status(thm)], ['17'])).
0.44/0.65	tff('19', plain,
0.44/0.65	    (~ $true
0.44/0.65	     | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_Y(sk_P))
0.44/0.65	     | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	     | ~ app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_E(sk_P))
0.44/0.65	     | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	     | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_Y(sk_P))),
0.44/0.65	    inference('sup-', [status(thm)], ['10', '18'])).
0.44/0.65	tff('20', plain,
0.44/0.65	    (~ app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_E(sk_P))
0.44/0.65	     | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	     | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_Y(sk_P))),
0.44/0.65	    inference('simplify', [status(thm)], ['19'])).
0.44/0.65	tff('21', plain,
0.44/0.65	    (app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_Y(sk_P))
0.44/0.65	     | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)),
0.44/0.65	    inference('clc', [status(thm)], ['20', '3'])).
0.44/0.65	tff('22', plain,
0.44/0.65	    ![X0 : app_encode_fun(a, $o), X1 : a]:
0.44/0.65	      (~ $true
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, X0)
0.44/0.65	       | ~ app_encode_app(a, $o, sk_Y(sk_P), sk_Xx_28(X0, X1, sk_Y(sk_P)))),
0.44/0.65	    inference('sup-', [status(thm)], ['21', '16'])).
0.44/0.65	tff('23', plain,
0.44/0.65	    ![X0 : app_encode_fun(a, $o), X1 : a]:
0.44/0.65	      (~ app_encode_app(a, $o, sk_Y(sk_P), sk_Xx_28(X0, X1, sk_Y(sk_P)))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, X0)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)),
0.44/0.65	    inference('simplify', [status(thm)], ['22'])).
0.44/0.65	tff('24', plain,
0.44/0.65	    ![X0 : a]:
0.44/0.65	      (~ $true
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_E(sk_P))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_Z1(sk_P))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | sk_Xx_28(sk_Z1(sk_P), X0, sk_Y(sk_P)) = sk_Xx(sk_P)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_Z1(sk_P))),
0.44/0.65	    inference('sup-', [status(thm)], ['15', '23'])).
0.44/0.65	tff('25', plain,
0.44/0.65	    ![X0 : a]:
0.44/0.65	      (sk_Xx_28(sk_Z1(sk_P), X0, sk_Y(sk_P)) = sk_Xx(sk_P)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_Z1(sk_P))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_E(sk_P))),
0.44/0.65	    inference('simplify', [status(thm)], ['24'])).
0.44/0.65	tff('26', plain,
0.44/0.65	    ![X4 : app_encode_fun(app_encode_fun(a, $o), $o), X6 : a]:
0.44/0.65	      (app_encode_app(app_encode_fun(a, $o), $o, X4, cC)
0.44/0.65	       | ~ app_encode_app(a, $o, sk_Z1(X4), X6)
0.44/0.65	       | app_encode_app(a, $o, sk_Y(X4), X6)
0.44/0.65	       | X6 = sk_Xx(X4)
0.44/0.65	       | ~ app_encode_app(app_encode_fun(a, $o), $o, X4, sk_E(X4))),
0.44/0.65	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.44/0.65	tff('27', plain,
0.44/0.65	    ![X0 : a, X1 : app_encode_fun(app_encode_fun(a, $o), $o)]:
0.44/0.65	      (~ $true
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_Z1(X1))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | ~ app_encode_app(app_encode_fun(a, $o), $o, X1, sk_E(X1))
0.44/0.65	       | sk_Xx_28(sk_Z1(X1), X0, sk_Y(sk_P)) = sk_Xx(X1)
0.44/0.65	       | app_encode_app(a, $o, sk_Y(X1), sk_Xx_28(sk_Z1(X1), X0, sk_Y(sk_P)))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, X1, cC)),
0.44/0.65	    inference('sup-', [status(thm)], ['10', '26'])).
0.44/0.65	tff('28', plain,
0.44/0.65	    ![X0 : a, X1 : app_encode_fun(app_encode_fun(a, $o), $o)]:
0.44/0.65	      (app_encode_app(app_encode_fun(a, $o), $o, X1, cC)
0.44/0.65	       | app_encode_app(a, $o, sk_Y(X1), sk_Xx_28(sk_Z1(X1), X0, sk_Y(sk_P)))
0.44/0.65	       | sk_Xx_28(sk_Z1(X1), X0, sk_Y(sk_P)) = sk_Xx(X1)
0.44/0.65	       | ~ app_encode_app(app_encode_fun(a, $o), $o, X1, sk_E(X1))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_Z1(X1))),
0.44/0.65	    inference('simplify', [status(thm)], ['27'])).
0.44/0.65	tff('29', plain,
0.44/0.65	    ![X0 : a]:
0.44/0.65	      (~ $true
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_Z1(sk_P))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | ~ app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_E(sk_P))
0.44/0.65	       | sk_Xx_28(sk_Z1(sk_P), X0, sk_Y(sk_P)) = sk_Xx(sk_P)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_Z1(sk_P))),
0.44/0.65	    inference('sup-', [status(thm)], ['28', '23'])).
0.44/0.65	tff('30', plain,
0.44/0.65	    ![X0 : a]:
0.44/0.65	      (sk_Xx_28(sk_Z1(sk_P), X0, sk_Y(sk_P)) = sk_Xx(sk_P)
0.44/0.65	       | ~ app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_E(sk_P))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_Z1(sk_P))),
0.44/0.65	    inference('simplify', [status(thm)], ['29'])).
0.44/0.65	tff('31', plain,
0.44/0.65	    ![X4 : app_encode_fun(app_encode_fun(a, $o), $o)]:
0.44/0.65	      (app_encode_app(app_encode_fun(a, $o), $o, X4, cC)
0.44/0.65	       | ~ app_encode_app(app_encode_fun(a, $o), $o, X4, sk_Z1(X4))
0.44/0.65	       | ~ app_encode_app(app_encode_fun(a, $o), $o, X4, sk_E(X4))),
0.44/0.65	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.44/0.65	tff('32', plain,
0.44/0.65	    ![X0 : a]:
0.44/0.65	      (app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | ~ app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_E(sk_P))
0.44/0.65	       | sk_Xx_28(sk_Z1(sk_P), X0, sk_Y(sk_P)) = sk_Xx(sk_P)),
0.44/0.65	    inference('clc', [status(thm)], ['30', '31'])).
0.44/0.65	tff('33', plain,
0.44/0.65	    ![X0 : a]:
0.44/0.65	      (app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_Z1(sk_P))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | sk_Xx_28(sk_Z1(sk_P), X0, sk_Y(sk_P)) = sk_Xx(sk_P)),
0.44/0.65	    inference('clc', [status(thm)], ['25', '32'])).
0.44/0.65	tff('34', plain,
0.44/0.65	    ![X8 : app_encode_fun(a, $o), X9 : app_encode_fun(a, $o), X10 : a]:
0.44/0.65	      (~ app_encode_app(app_encode_fun(a, $o), $o, sk_P, X8)
0.44/0.65	       | sk_Xx_28(X9, X10, X8) != X10
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, X9)),
0.44/0.65	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.44/0.65	tff('35', plain,
0.44/0.65	    ![X0 : app_encode_fun(a, $o), X1 : a]:
0.44/0.65	      (~ $true
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_E(sk_P))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, X0)
0.44/0.65	       | sk_Xx_28(X0, X1, sk_Y(sk_P)) != X1),
0.44/0.65	    inference('sup-', [status(thm)], ['3', '34'])).
0.44/0.65	tff('36', plain,
0.44/0.65	    ![X0 : app_encode_fun(a, $o), X1 : a]:
0.44/0.65	      (sk_Xx_28(X0, X1, sk_Y(sk_P)) != X1
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, X0)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_E(sk_P))),
0.44/0.65	    inference('simplify', [status(thm)], ['35'])).
0.44/0.65	tff('37', plain,
0.44/0.65	    ![X0 : app_encode_fun(a, $o), X1 : a]:
0.44/0.65	      (~ $true
0.44/0.65	       | ~ app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_E(sk_P))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, X0)
0.44/0.65	       | sk_Xx_28(X0, X1, sk_Y(sk_P)) != X1),
0.44/0.65	    inference('sup-', [status(thm)], ['7', '34'])).
0.44/0.65	tff('38', plain,
0.44/0.65	    ![X0 : app_encode_fun(a, $o), X1 : a]:
0.44/0.65	      (sk_Xx_28(X0, X1, sk_Y(sk_P)) != X1
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, X0)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | ~ app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_E(sk_P))),
0.44/0.65	    inference('simplify', [status(thm)], ['37'])).
0.44/0.65	tff('39', plain,
0.44/0.65	    ![X0 : app_encode_fun(a, $o), X1 : a]:
0.44/0.65	      (app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, X0)
0.44/0.65	       | sk_Xx_28(X0, X1, sk_Y(sk_P)) != X1),
0.44/0.65	    inference('clc', [status(thm)], ['36', '38'])).
0.44/0.65	tff('40', plain,
0.44/0.65	    ![X0 : a]:
0.44/0.65	      (sk_Xx(sk_P) != X0
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_Z1(sk_P))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_Z1(sk_P))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)),
0.44/0.65	    inference('sup-', [status(thm)], ['33', '39'])).
0.44/0.65	tff('41', plain,
0.44/0.65	    (app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_Z1(sk_P))
0.44/0.65	     | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)),
0.44/0.65	    inference('simplify', [status(thm)], ['40'])).
0.44/0.65	tff('42', plain,
0.44/0.65	    ![X4 : app_encode_fun(app_encode_fun(a, $o), $o), X5 : a]:
0.44/0.65	      (app_encode_app(app_encode_fun(a, $o), $o, X4, cC)
0.44/0.65	       | ~ app_encode_app(app_encode_fun(a, $o), $o, X4, sk_Z1(X4))
0.44/0.65	       | ~ app_encode_app(a, $o, sk_E(X4), X5)),
0.44/0.65	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.44/0.65	tff('43', plain,
0.44/0.65	    ![X0 : a]:
0.44/0.65	      (~ $true
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	       | ~ app_encode_app(a, $o, sk_E(sk_P), X0)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)),
0.44/0.65	    inference('sup-', [status(thm)], ['41', '42'])).
0.44/0.65	tff('44', plain,
0.44/0.65	    ![X0 : a]:
0.44/0.65	      (~ app_encode_app(a, $o, sk_E(sk_P), X0)
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)),
0.44/0.65	    inference('simplify', [status(thm)], ['43'])).
0.44/0.65	tff('45', plain,
0.44/0.65	    (~ $true
0.44/0.65	     | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_E(sk_P))
0.44/0.65	     | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)),
0.44/0.65	    inference('sup-', [status(thm)], ['0', '44'])).
0.44/0.65	tff('46', plain,
0.44/0.65	    (app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	     | app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_E(sk_P))),
0.44/0.65	    inference('simplify', [status(thm)], ['45'])).
0.44/0.65	tff('47', plain,
0.44/0.65	    (~ $true
0.44/0.65	     | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)
0.44/0.65	     | ~ app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_E(sk_P))
0.44/0.65	     | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)),
0.44/0.65	    inference('sup-', [status(thm)], ['41', '31'])).
0.44/0.65	tff('48', plain,
0.44/0.65	    (~ app_encode_app(app_encode_fun(a, $o), $o, sk_P, sk_E(sk_P))
0.44/0.65	     | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC)),
0.44/0.65	    inference('simplify', [status(thm)], ['47'])).
0.44/0.65	tff('49', plain, app_encode_app(app_encode_fun(a, $o), $o, sk_P, cC),
0.44/0.65	    inference('clc', [status(thm)], ['46', '48'])).
0.44/0.65	tff('50', plain,
0.44/0.65	    ![X0 : app_encode_fun(a, $o), X1 : a]:
0.44/0.65	      (~ $true
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, X0)
0.44/0.65	       | app_encode_app(a, $o, X0, sk_Xx_28(X0, X1, cC))),
0.44/0.65	    inference('sup-', [status(thm)], ['49', '4'])).
0.44/0.65	tff('51', plain,
0.44/0.65	    ![X0 : app_encode_fun(a, $o), X1 : a]:
0.44/0.65	      (app_encode_app(a, $o, X0, sk_Xx_28(X0, X1, cC))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, X0)),
0.44/0.65	    inference('simplify', [status(thm)], ['50'])).
0.44/0.65	tff('52', plain,
0.44/0.65	    ![X7 : a]:
0.44/0.65	      (app_encode_app(a, $o, cC, X7) | ~ app_encode_app(a, $o, cB, X7)),
0.44/0.65	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.44/0.65	tff('53', plain,
0.44/0.65	    ![X0 : a]:
0.44/0.65	      (~ $true
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cB)
0.44/0.65	       | app_encode_app(a, $o, cC, sk_Xx_28(cB, X0, cC))),
0.44/0.65	    inference('sup-', [status(thm)], ['51', '52'])).
0.44/0.65	tff('54', plain,
0.44/0.65	    ![X0 : a]:
0.44/0.65	      (app_encode_app(a, $o, cC, sk_Xx_28(cB, X0, cC))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, cB)),
0.44/0.65	    inference('simplify', [status(thm)], ['53'])).
0.44/0.65	tff('55', plain,
0.44/0.65	    ![X0 : app_encode_fun(a, $o), X1 : a]:
0.44/0.65	      (~ $true
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, X0)
0.44/0.65	       | ~ app_encode_app(a, $o, cC, sk_Xx_28(X0, X1, cC))),
0.44/0.65	    inference('sup-', [status(thm)], ['49', '16'])).
0.44/0.65	tff('56', plain,
0.44/0.65	    ![X0 : app_encode_fun(a, $o), X1 : a]:
0.44/0.65	      (~ app_encode_app(a, $o, cC, sk_Xx_28(X0, X1, cC))
0.44/0.65	       | app_encode_app(app_encode_fun(a, $o), $o, sk_P, X0)),
0.44/0.65	    inference('simplify', [status(thm)], ['55'])).
0.44/0.65	tff('57', plain, app_encode_app(app_encode_fun(a, $o), $o, sk_P, cB),
0.44/0.65	    inference('clc', [status(thm)], ['54', '56'])).
0.44/0.65	tff('58', plain, ~ app_encode_app(app_encode_fun(a, $o), $o, sk_P, cB),
0.44/0.65	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.44/0.65	tff('59', plain, ~ $true, inference('sup-', [status(thm)], ['57', '58'])).
0.44/0.65	tff('60', plain, $false, inference('simplify', [status(thm)], ['59'])).
0.44/0.65	
0.44/0.65	% SZS output end Refutation
0.44/0.65	EOF
