0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n082.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 17:15:24 CST 2018
0.00/0.23	% done 52 iterations in 0.030s
0.00/0.23	% SZS status Theorem for 'stdin'
0.00/0.23	% SZS output start Refutation
0.00/0.24	tff(zf_stmt_14, conjecture,
0.00/0.24	  (cartprodmempair1 =>
0.00/0.24	   (cartprodfstpairEq =>
0.00/0.24	    (cartprodsndpairEq =>
0.00/0.24	     (![A,B,Xu]:
0.00/0.24	        (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xu),
0.00/0.24	                        app_encode_app($i,$i,
0.00/0.24	                                       app_encode_app($i,
0.00/0.24	                                                      app_encode_fun($i,$i),
0.00/0.24	                                                      cartprod,A),
0.00/0.24	                                       B)) =>
0.00/0.24	         (app_encode_app($i,$i,
0.00/0.24	                         app_encode_app($i,app_encode_fun($i,$i),kpair,
0.00/0.24	                                        app_encode_app($i,$i,kfst,Xu)),
0.00/0.24	                         app_encode_app($i,$i,ksnd,Xu)) =
0.00/0.24	          Xu))))))).
0.00/0.24	tff(zf_stmt_0, negated_conjecture,
0.00/0.24	  (~
0.00/0.24	    (cartprodmempair1 =>
0.00/0.24	     (cartprodfstpairEq =>
0.00/0.24	      (cartprodsndpairEq =>
0.00/0.24	       (![A,B,Xu]:
0.00/0.24	          (app_encode_app($i,$o,
0.00/0.24	                          app_encode_app($i,app_encode_fun($i,$o),in,Xu),
0.00/0.24	                          app_encode_app($i,$i,
0.00/0.24	                                         app_encode_app($i,
0.00/0.24	                                                        app_encode_fun($i,$i),
0.00/0.24	                                                        cartprod,A),
0.00/0.24	                                         B)) =>
0.00/0.24	           (app_encode_app($i,$i,
0.00/0.24	                           app_encode_app($i,app_encode_fun($i,$i),kpair,
0.00/0.24	                                          app_encode_app($i,$i,kfst,Xu)),
0.00/0.24	                           app_encode_app($i,$i,ksnd,Xu)) =
0.00/0.24	            Xu)))))))).
0.00/0.24	tff('0', plain,
0.00/0.24	    app_encode_app($i, $o, 
0.00/0.24	      app_encode_app($i, app_encode_fun($i, $o), in, sk_Xu1), 
0.00/0.24	      app_encode_app($i, $i, 
0.00/0.24	        app_encode_app($i, app_encode_fun($i, $i), cartprod, sk_A3), sk_B3)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff(zf_stmt_7, axiom,
0.00/0.24	  (cartprodmempair1 <=>
0.00/0.24	   (![A,B,Xu]:
0.00/0.24	      (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xu),
0.00/0.24	                      app_encode_app($i,$i,
0.00/0.24	                                     app_encode_app($i,app_encode_fun($i,$i),
0.00/0.24	                                                    cartprod,A),
0.00/0.24	                                     B)) =>
0.00/0.24	       (?[Xx]:
0.00/0.24	          (app_encode_app($i,$o,
0.00/0.24	                          app_encode_app($i,app_encode_fun($i,$o),in,Xx),A) & 
0.00/0.24	           (?[Xy]:
0.00/0.24	              (app_encode_app($i,$o,
0.00/0.24	                              app_encode_app($i,app_encode_fun($i,$o),in,Xy),
0.00/0.24	                              B) & 
0.00/0.24	               (Xu =
0.00/0.24	                app_encode_app($i,$i,
0.00/0.24	                               app_encode_app($i,app_encode_fun($i,$i),kpair,
0.00/0.24	                                              Xx),
0.00/0.24	                               Xy)))))))))).
0.00/0.24	tff('1', plain,
0.00/0.24	    ![X4, X5, X6]:
0.00/0.24	      (~ app_encode_app($i, $o, 
0.00/0.24	           app_encode_app($i, app_encode_fun($i, $o), in, X4), 
0.00/0.24	           app_encode_app($i, $i, 
0.00/0.24	             app_encode_app($i, app_encode_fun($i, $i), cartprod, X5), X6))
0.00/0.24	       | X4
0.00/0.24	          = app_encode_app($i, $i, 
0.00/0.24	              app_encode_app($i, app_encode_fun($i, $i), kpair, 
0.00/0.24	                sk_Xx(X4, X6, X5)), sk_Xy(X4, X6, X5))
0.00/0.24	       | ~ cartprodmempair1),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.24	tff('2', plain, cartprodmempair1,
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('3', plain,
0.00/0.24	    ![X4, X5, X6]:
0.00/0.24	      (~ app_encode_app($i, $o, 
0.00/0.24	           app_encode_app($i, app_encode_fun($i, $o), in, X4), 
0.00/0.24	           app_encode_app($i, $i, 
0.00/0.24	             app_encode_app($i, app_encode_fun($i, $i), cartprod, X5), X6))
0.00/0.24	       | X4
0.00/0.24	          = app_encode_app($i, $i, 
0.00/0.24	              app_encode_app($i, app_encode_fun($i, $i), kpair, 
0.00/0.24	                sk_Xx(X4, X6, X5)), sk_Xy(X4, X6, X5))
0.00/0.24	       | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['1', '2'])).
0.00/0.24	tff('4', plain,
0.00/0.24	    ![X4, X5, X6]:
0.00/0.24	      (X4
0.00/0.24	        = app_encode_app($i, $i, 
0.00/0.24	            app_encode_app($i, app_encode_fun($i, $i), kpair, 
0.00/0.24	              sk_Xx(X4, X6, X5)), sk_Xy(X4, X6, X5))
0.00/0.24	       | ~ app_encode_app($i, $o, 
0.00/0.24	             app_encode_app($i, app_encode_fun($i, $o), in, X4), 
0.00/0.24	             app_encode_app($i, $i, 
0.00/0.24	               app_encode_app($i, app_encode_fun($i, $i), cartprod, X5), X6))),
0.00/0.24	    inference('simplify', [status(thm)], ['3'])).
0.00/0.24	tff('5', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | sk_Xu1
0.00/0.24	        = app_encode_app($i, $i, 
0.00/0.24	            app_encode_app($i, app_encode_fun($i, $i), kpair, 
0.00/0.24	              sk_Xx(sk_Xu1, sk_B3, sk_A3)), sk_Xy(sk_Xu1, sk_B3, sk_A3))),
0.00/0.24	    inference('sup-', [status(thm)], ['0', '4'])).
0.00/0.24	tff('6', plain,
0.00/0.24	    sk_Xu1
0.00/0.24	     = app_encode_app($i, $i, 
0.00/0.24	         app_encode_app($i, app_encode_fun($i, $i), kpair, 
0.00/0.24	           sk_Xx(sk_Xu1, sk_B3, sk_A3)), sk_Xy(sk_Xu1, sk_B3, sk_A3)),
0.00/0.24	    inference('simplify', [status(thm)], ['5'])).
0.00/0.24	tff('7', plain,
0.00/0.24	    ![X4, X5, X6]:
0.00/0.24	      (~ app_encode_app($i, $o, 
0.00/0.24	           app_encode_app($i, app_encode_fun($i, $o), in, X4), 
0.00/0.24	           app_encode_app($i, $i, 
0.00/0.24	             app_encode_app($i, app_encode_fun($i, $i), cartprod, X5), X6))
0.00/0.24	       | app_encode_app($i, $o, 
0.00/0.24	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X6, X5)), 
0.00/0.24	           X5)
0.00/0.24	       | ~ cartprodmempair1),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.24	tff('8', plain,
0.00/0.24	    ![X4, X5, X6]:
0.00/0.24	      (~ app_encode_app($i, $o, 
0.00/0.24	           app_encode_app($i, app_encode_fun($i, $o), in, X4), 
0.00/0.24	           app_encode_app($i, $i, 
0.00/0.24	             app_encode_app($i, app_encode_fun($i, $i), cartprod, X5), X6))
0.00/0.24	       | app_encode_app($i, $o, 
0.00/0.24	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X6, X5)), 
0.00/0.24	           X5)
0.00/0.24	       | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['7', '2'])).
0.00/0.24	tff('9', plain,
0.00/0.24	    ![X4, X5, X6]:
0.00/0.24	      (app_encode_app($i, $o, 
0.00/0.24	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X6, X5)), 
0.00/0.24	         X5)
0.00/0.24	       | ~ app_encode_app($i, $o, 
0.00/0.24	             app_encode_app($i, app_encode_fun($i, $o), in, X4), 
0.00/0.24	             app_encode_app($i, $i, 
0.00/0.24	               app_encode_app($i, app_encode_fun($i, $i), cartprod, X5), X6))),
0.00/0.24	    inference('simplify', [status(thm)], ['8'])).
0.00/0.24	tff('10', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app($i, $o, 
0.00/0.24	         app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.24	           sk_Xx(sk_Xu1, sk_B3, sk_A3)), sk_A3)),
0.00/0.24	    inference('sup-', [status(thm)], ['0', '9'])).
0.00/0.24	tff('11', plain,
0.00/0.24	    app_encode_app($i, $o, 
0.00/0.24	      app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.24	        sk_Xx(sk_Xu1, sk_B3, sk_A3)), sk_A3),
0.00/0.24	    inference('simplify', [status(thm)], ['10'])).
0.00/0.24	tff('12', plain,
0.00/0.24	    ![X4, X5, X6]:
0.00/0.24	      (~ app_encode_app($i, $o, 
0.00/0.24	           app_encode_app($i, app_encode_fun($i, $o), in, X4), 
0.00/0.24	           app_encode_app($i, $i, 
0.00/0.24	             app_encode_app($i, app_encode_fun($i, $i), cartprod, X5), X6))
0.00/0.24	       | app_encode_app($i, $o, 
0.00/0.24	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xy(X4, X6, X5)), 
0.00/0.24	           X6)
0.00/0.24	       | ~ cartprodmempair1),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.24	tff('13', plain,
0.00/0.24	    ![X4, X5, X6]:
0.00/0.24	      (~ app_encode_app($i, $o, 
0.00/0.24	           app_encode_app($i, app_encode_fun($i, $o), in, X4), 
0.00/0.24	           app_encode_app($i, $i, 
0.00/0.24	             app_encode_app($i, app_encode_fun($i, $i), cartprod, X5), X6))
0.00/0.24	       | app_encode_app($i, $o, 
0.00/0.24	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xy(X4, X6, X5)), 
0.00/0.24	           X6)
0.00/0.24	       | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['12', '2'])).
0.00/0.24	tff('14', plain,
0.00/0.24	    ![X4, X5, X6]:
0.00/0.24	      (app_encode_app($i, $o, 
0.00/0.24	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xy(X4, X6, X5)), 
0.00/0.24	         X6)
0.00/0.24	       | ~ app_encode_app($i, $o, 
0.00/0.24	             app_encode_app($i, app_encode_fun($i, $o), in, X4), 
0.00/0.24	             app_encode_app($i, $i, 
0.00/0.24	               app_encode_app($i, app_encode_fun($i, $i), cartprod, X5), X6))),
0.00/0.24	    inference('simplify', [status(thm)], ['13'])).
0.00/0.24	tff('15', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app($i, $o, 
0.00/0.24	         app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.24	           sk_Xy(sk_Xu1, sk_B3, sk_A3)), sk_B3)),
0.00/0.24	    inference('sup-', [status(thm)], ['0', '14'])).
0.00/0.24	tff('16', plain,
0.00/0.24	    app_encode_app($i, $o, 
0.00/0.24	      app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.24	        sk_Xy(sk_Xu1, sk_B3, sk_A3)), sk_B3),
0.00/0.24	    inference('simplify', [status(thm)], ['15'])).
0.00/0.24	tff(zf_stmt_11, axiom,
0.00/0.24	  (cartprodfstpairEq <=>
0.00/0.24	   (![A,B,Xx]:
0.00/0.24	      (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),A) =>
0.00/0.24	       (![Xy]:
0.00/0.24	          (app_encode_app($i,$o,
0.00/0.24	                          app_encode_app($i,app_encode_fun($i,$o),in,Xy),B) =>
0.00/0.24	           (app_encode_app($i,$i,kfst,
0.00/0.24	                           app_encode_app($i,$i,
0.00/0.24	                                          app_encode_app($i,
0.00/0.24	                                                         app_encode_fun(
0.00/0.24	                                                         $i,$i),kpair,Xx),
0.00/0.24	                                          Xy)) =
0.00/0.24	            Xx))))))).
0.00/0.24	tff('17', plain,
0.00/0.24	    ![X9, X10, X11, X12]:
0.00/0.24	      (~ app_encode_app($i, $o, 
0.00/0.24	           app_encode_app($i, app_encode_fun($i, $o), in, X9), X10)
0.00/0.24	       | app_encode_app($i, $i, kfst, 
0.00/0.24	           app_encode_app($i, $i, 
0.00/0.24	             app_encode_app($i, app_encode_fun($i, $i), kpair, X9), X11))
0.00/0.24	          = X9
0.00/0.24	       | ~ app_encode_app($i, $o, 
0.00/0.24	             app_encode_app($i, app_encode_fun($i, $o), in, X11), X12)
0.00/0.24	       | ~ cartprodfstpairEq),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_11])).
0.00/0.24	tff('18', plain, cartprodfstpairEq,
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('19', plain,
0.00/0.24	    ![X9, X10, X11, X12]:
0.00/0.24	      (~ app_encode_app($i, $o, 
0.00/0.24	           app_encode_app($i, app_encode_fun($i, $o), in, X9), X10)
0.00/0.24	       | app_encode_app($i, $i, kfst, 
0.00/0.24	           app_encode_app($i, $i, 
0.00/0.24	             app_encode_app($i, app_encode_fun($i, $i), kpair, X9), X11))
0.00/0.24	          = X9
0.00/0.24	       | ~ app_encode_app($i, $o, 
0.00/0.24	             app_encode_app($i, app_encode_fun($i, $o), in, X11), X12)
0.00/0.24	       | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['17', '18'])).
0.00/0.24	tff('20', plain,
0.00/0.24	    ![X9, X10, X11, X12]:
0.00/0.24	      (~ app_encode_app($i, $o, 
0.00/0.24	           app_encode_app($i, app_encode_fun($i, $o), in, X11), X12)
0.00/0.24	       | app_encode_app($i, $i, kfst, 
0.00/0.24	           app_encode_app($i, $i, 
0.00/0.24	             app_encode_app($i, app_encode_fun($i, $i), kpair, X9), X11))
0.00/0.24	          = X9
0.00/0.24	       | ~ app_encode_app($i, $o, 
0.00/0.24	             app_encode_app($i, app_encode_fun($i, $o), in, X9), X10)),
0.00/0.24	    inference('simplify', [status(thm)], ['19'])).
0.00/0.24	tff('21', plain,
0.00/0.24	    ![X0, X1]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ app_encode_app($i, $o, 
0.00/0.24	             app_encode_app($i, app_encode_fun($i, $o), in, X1), X0)
0.00/0.24	       | app_encode_app($i, $i, kfst, 
0.00/0.24	           app_encode_app($i, $i, 
0.00/0.24	             app_encode_app($i, app_encode_fun($i, $i), kpair, X1), 
0.00/0.24	             sk_Xy(sk_Xu1, sk_B3, sk_A3)))
0.00/0.24	          = X1),
0.00/0.24	    inference('sup-', [status(thm)], ['16', '20'])).
0.00/0.24	tff('22', plain,
0.00/0.24	    ![X0, X1]:
0.00/0.24	      (app_encode_app($i, $i, kfst, 
0.00/0.24	         app_encode_app($i, $i, 
0.00/0.24	           app_encode_app($i, app_encode_fun($i, $i), kpair, X1), 
0.00/0.24	           sk_Xy(sk_Xu1, sk_B3, sk_A3)))
0.00/0.24	        = X1
0.00/0.24	       | ~ app_encode_app($i, $o, 
0.00/0.24	             app_encode_app($i, app_encode_fun($i, $o), in, X1), X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['21'])).
0.00/0.24	tff('23', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app($i, $i, kfst, 
0.00/0.24	         app_encode_app($i, $i, 
0.00/0.24	           app_encode_app($i, app_encode_fun($i, $i), kpair, 
0.00/0.24	             sk_Xx(sk_Xu1, sk_B3, sk_A3)), sk_Xy(sk_Xu1, sk_B3, sk_A3)))
0.00/0.24	        = sk_Xx(sk_Xu1, sk_B3, sk_A3)),
0.00/0.24	    inference('sup-', [status(thm)], ['11', '22'])).
0.00/0.24	tff('24', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app($i, $i, kfst, sk_Xu1) = sk_Xx(sk_Xu1, sk_B3, sk_A3)),
0.00/0.24	    inference('demod', [status(thm)], ['23', '6'])).
0.00/0.24	tff('25', plain,
0.00/0.24	    app_encode_app($i, $i, kfst, sk_Xu1) = sk_Xx(sk_Xu1, sk_B3, sk_A3),
0.00/0.24	    inference('simplify', [status(thm)], ['24'])).
0.00/0.24	tff('26', plain,
0.00/0.24	    sk_Xu1
0.00/0.24	     = app_encode_app($i, $i, 
0.00/0.24	         app_encode_app($i, app_encode_fun($i, $i), kpair, 
0.00/0.24	           app_encode_app($i, $i, kfst, sk_Xu1)), 
0.00/0.24	         sk_Xy(sk_Xu1, sk_B3, sk_A3)),
0.00/0.24	    inference('demod', [status(thm)], ['6', '25'])).
0.00/0.24	tff('27', plain,
0.00/0.24	    app_encode_app($i, $o, 
0.00/0.24	      app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.24	        app_encode_app($i, $i, kfst, sk_Xu1)), sk_A3),
0.00/0.24	    inference('demod', [status(thm)], ['11', '25'])).
0.00/0.24	tff(zf_stmt_13, axiom,
0.00/0.24	  (cartprodsndpairEq <=>
0.00/0.24	   (![A,B,Xx]:
0.00/0.24	      (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),A) =>
0.00/0.24	       (![Xy]:
0.00/0.24	          (app_encode_app($i,$o,
0.00/0.24	                          app_encode_app($i,app_encode_fun($i,$o),in,Xy),B) =>
0.00/0.24	           (app_encode_app($i,$i,ksnd,
0.00/0.24	                           app_encode_app($i,$i,
0.00/0.24	                                          app_encode_app($i,
0.00/0.24	                                                         app_encode_fun(
0.00/0.24	                                                         $i,$i),kpair,Xx),
0.00/0.24	                                          Xy)) =
0.00/0.24	            Xy))))))).
0.00/0.24	tff('28', plain,
0.00/0.24	    ![X13, X14, X15, X16]:
0.00/0.24	      (~ app_encode_app($i, $o, 
0.00/0.24	           app_encode_app($i, app_encode_fun($i, $o), in, X13), X14)
0.00/0.24	       | app_encode_app($i, $i, ksnd, 
0.00/0.24	           app_encode_app($i, $i, 
0.00/0.24	             app_encode_app($i, app_encode_fun($i, $i), kpair, X13), X15))
0.00/0.24	          = X15
0.00/0.24	       | ~ app_encode_app($i, $o, 
0.00/0.24	             app_encode_app($i, app_encode_fun($i, $o), in, X15), X16)
0.00/0.24	       | ~ cartprodsndpairEq),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_13])).
0.00/0.24	tff('29', plain, cartprodsndpairEq,
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('30', plain,
0.00/0.24	    ![X13, X14, X15, X16]:
0.00/0.24	      (~ app_encode_app($i, $o, 
0.00/0.24	           app_encode_app($i, app_encode_fun($i, $o), in, X13), X14)
0.00/0.24	       | app_encode_app($i, $i, ksnd, 
0.00/0.24	           app_encode_app($i, $i, 
0.00/0.24	             app_encode_app($i, app_encode_fun($i, $i), kpair, X13), X15))
0.00/0.24	          = X15
0.00/0.24	       | ~ app_encode_app($i, $o, 
0.00/0.24	             app_encode_app($i, app_encode_fun($i, $o), in, X15), X16)
0.00/0.24	       | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['28', '29'])).
0.00/0.24	tff('31', plain,
0.00/0.24	    ![X13, X14, X15, X16]:
0.00/0.24	      (~ app_encode_app($i, $o, 
0.00/0.24	           app_encode_app($i, app_encode_fun($i, $o), in, X15), X16)
0.00/0.24	       | app_encode_app($i, $i, ksnd, 
0.00/0.24	           app_encode_app($i, $i, 
0.00/0.24	             app_encode_app($i, app_encode_fun($i, $i), kpair, X13), X15))
0.00/0.24	          = X15
0.00/0.24	       | ~ app_encode_app($i, $o, 
0.00/0.24	             app_encode_app($i, app_encode_fun($i, $o), in, X13), X14)),
0.00/0.24	    inference('simplify', [status(thm)], ['30'])).
0.00/0.24	tff('32', plain,
0.00/0.24	    ![X0, X1]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ app_encode_app($i, $o, 
0.00/0.24	             app_encode_app($i, app_encode_fun($i, $o), in, X1), X0)
0.00/0.24	       | app_encode_app($i, $i, ksnd, 
0.00/0.24	           app_encode_app($i, $i, 
0.00/0.24	             app_encode_app($i, app_encode_fun($i, $i), kpair, X1), 
0.00/0.24	             sk_Xy(sk_Xu1, sk_B3, sk_A3)))
0.00/0.24	          = sk_Xy(sk_Xu1, sk_B3, sk_A3)),
0.00/0.24	    inference('sup-', [status(thm)], ['16', '31'])).
0.00/0.24	tff('33', plain,
0.00/0.24	    ![X0, X1]:
0.00/0.24	      (app_encode_app($i, $i, ksnd, 
0.00/0.24	         app_encode_app($i, $i, 
0.00/0.24	           app_encode_app($i, app_encode_fun($i, $i), kpair, X1), 
0.00/0.24	           sk_Xy(sk_Xu1, sk_B3, sk_A3)))
0.00/0.24	        = sk_Xy(sk_Xu1, sk_B3, sk_A3)
0.00/0.24	       | ~ app_encode_app($i, $o, 
0.00/0.24	             app_encode_app($i, app_encode_fun($i, $o), in, X1), X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['32'])).
0.00/0.24	tff('34', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app($i, $i, ksnd, 
0.00/0.24	         app_encode_app($i, $i, 
0.00/0.24	           app_encode_app($i, app_encode_fun($i, $i), kpair, 
0.00/0.24	             app_encode_app($i, $i, kfst, sk_Xu1)), 
0.00/0.24	           sk_Xy(sk_Xu1, sk_B3, sk_A3)))
0.00/0.24	        = sk_Xy(sk_Xu1, sk_B3, sk_A3)),
0.00/0.24	    inference('sup-', [status(thm)], ['27', '33'])).
0.00/0.24	tff('35', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app($i, $i, ksnd, sk_Xu1) = sk_Xy(sk_Xu1, sk_B3, sk_A3)),
0.00/0.24	    inference('demod', [status(thm)], ['34', '26'])).
0.00/0.24	tff('36', plain,
0.00/0.24	    app_encode_app($i, $i, ksnd, sk_Xu1) = sk_Xy(sk_Xu1, sk_B3, sk_A3),
0.00/0.24	    inference('simplify', [status(thm)], ['35'])).
0.00/0.24	tff('37', plain,
0.00/0.24	    sk_Xu1
0.00/0.24	     = app_encode_app($i, $i, 
0.00/0.24	         app_encode_app($i, app_encode_fun($i, $i), kpair, 
0.00/0.24	           app_encode_app($i, $i, kfst, sk_Xu1)), 
0.00/0.24	         app_encode_app($i, $i, ksnd, sk_Xu1)),
0.00/0.24	    inference('demod', [status(thm)], ['26', '36'])).
0.00/0.24	tff('38', plain,
0.00/0.24	    app_encode_app($i, $i, 
0.00/0.24	      app_encode_app($i, app_encode_fun($i, $i), kpair, 
0.00/0.24	        app_encode_app($i, $i, kfst, sk_Xu1)), 
0.00/0.24	      app_encode_app($i, $i, ksnd, sk_Xu1))
0.00/0.24	     != sk_Xu1,
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('39', plain, $false,
0.00/0.24	    inference('simplify_reflect-', [status(thm)], ['37', '38'])).
0.00/0.24	
0.00/0.24	% SZS output end Refutation
0.00/0.24	EOF
