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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n080.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 17:15:27 CST 2018
0.00/0.23	% done 45 iterations in 0.025s
0.00/0.23	% SZS status Theorem for 'stdin'
0.00/0.23	% SZS output start Refutation
0.00/0.23	tff(zf_stmt_6, axiom,
0.00/0.23	  (setext <=>
0.00/0.23	   (![A,B]:
0.00/0.23	      ((![Xx]:
0.00/0.23	          (app_encode_app($i,$o,
0.00/0.23	                          app_encode_app($i,app_encode_fun($i,$o),in,Xx),A) =>
0.00/0.23	           app_encode_app($i,$o,
0.00/0.23	                          app_encode_app($i,app_encode_fun($i,$o),in,Xx),B))) =>
0.00/0.23	       ((![Xx]:
0.00/0.23	           (app_encode_app($i,$o,
0.00/0.23	                           app_encode_app($i,app_encode_fun($i,$o),in,Xx),B) =>
0.00/0.23	            app_encode_app($i,$o,
0.00/0.23	                           app_encode_app($i,app_encode_fun($i,$o),in,Xx),A))) =>
0.00/0.23	        (A = B)))))).
0.00/0.23	tff('0', plain,
0.00/0.23	    ![X4, X5]:
0.00/0.23	      (app_encode_app($i, $o, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(X4, X5)), X5)
0.00/0.23	       | X5 = X4
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), 
0.00/0.23	             X5)
0.00/0.23	       | ~ setext),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_6])).
0.00/0.23	tff(zf_stmt_9, conjecture,
0.00/0.23	  (setext =>
0.00/0.23	   (powersetE =>
0.00/0.23	    (![A,X]:
0.00/0.23	       (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,X),
0.00/0.23	                       app_encode_app($i,$i,powerset,A)) =>
0.00/0.23	        (![Y]:
0.00/0.23	           (app_encode_app($i,$o,
0.00/0.23	                           app_encode_app($i,app_encode_fun($i,$o),in,Y),
0.00/0.23	                           app_encode_app($i,$i,powerset,A)) =>
0.00/0.23	            ((![Xx]:
0.00/0.23	                (app_encode_app($i,$o,
0.00/0.23	                                app_encode_app($i,app_encode_fun($i,$o),in,Xx),
0.00/0.23	                                A) =>
0.00/0.23	                 (app_encode_app($i,$o,
0.00/0.23	                                 app_encode_app($i,app_encode_fun($i,$o),in,
0.00/0.23	                                                Xx),
0.00/0.23	                                 X) =>
0.00/0.23	                  app_encode_app($i,$o,
0.00/0.23	                                 app_encode_app($i,app_encode_fun($i,$o),in,
0.00/0.23	                                                Xx),
0.00/0.23	                                 Y)))) =>
0.00/0.23	             ((![Xx]:
0.00/0.23	                 (app_encode_app($i,$o,
0.00/0.23	                                 app_encode_app($i,app_encode_fun($i,$o),in,
0.00/0.23	                                                Xx),
0.00/0.23	                                 A) =>
0.00/0.23	                  (app_encode_app($i,$o,
0.00/0.23	                                  app_encode_app($i,app_encode_fun($i,$o),in,
0.00/0.23	                                                 Xx),
0.00/0.23	                                  Y) =>
0.00/0.23	                   app_encode_app($i,$o,
0.00/0.23	                                  app_encode_app($i,app_encode_fun($i,$o),in,
0.00/0.23	                                                 Xx),
0.00/0.23	                                  X)))) =>
0.00/0.23	              (X = Y)))))))))).
0.00/0.23	tff(zf_stmt_0, negated_conjecture,
0.00/0.23	  (~
0.00/0.23	    (setext =>
0.00/0.23	     (powersetE =>
0.00/0.23	      (![A,X]:
0.00/0.23	         (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,X),
0.00/0.23	                         app_encode_app($i,$i,powerset,A)) =>
0.00/0.23	          (![Y]:
0.00/0.23	             (app_encode_app($i,$o,
0.00/0.23	                             app_encode_app($i,app_encode_fun($i,$o),in,Y),
0.00/0.23	                             app_encode_app($i,$i,powerset,A)) =>
0.00/0.23	              ((![Xx]:
0.00/0.23	                  (app_encode_app($i,$o,
0.00/0.23	                                  app_encode_app($i,app_encode_fun($i,$o),in,
0.00/0.23	                                                 Xx),
0.00/0.23	                                  A) =>
0.00/0.23	                   (app_encode_app($i,$o,
0.00/0.23	                                   app_encode_app($i,app_encode_fun($i,$o),
0.00/0.23	                                                  in,Xx),
0.00/0.23	                                   X) =>
0.00/0.23	                    app_encode_app($i,$o,
0.00/0.23	                                   app_encode_app($i,app_encode_fun($i,$o),
0.00/0.23	                                                  in,Xx),
0.00/0.23	                                   Y)))) =>
0.00/0.23	               ((![Xx]:
0.00/0.23	                   (app_encode_app($i,$o,
0.00/0.23	                                   app_encode_app($i,app_encode_fun($i,$o),
0.00/0.23	                                                  in,Xx),
0.00/0.23	                                   A) =>
0.00/0.23	                    (app_encode_app($i,$o,
0.00/0.23	                                    app_encode_app($i,app_encode_fun($i,$o),
0.00/0.23	                                                   in,Xx),
0.00/0.23	                                    Y) =>
0.00/0.23	                     app_encode_app($i,$o,
0.00/0.23	                                    app_encode_app($i,app_encode_fun($i,$o),
0.00/0.23	                                                   in,Xx),
0.00/0.23	                                    X)))) =>
0.00/0.23	                (X = Y))))))))))).
0.00/0.23	tff('1', plain, setext, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('2', plain,
0.00/0.23	    ![X4, X5]:
0.00/0.23	      (app_encode_app($i, $o, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(X4, X5)), X5)
0.00/0.23	       | X5 = X4
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), 
0.00/0.23	             X5)
0.00/0.23	       | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['0', '1'])).
0.00/0.23	tff('3', plain,
0.00/0.23	    ![X4, X5]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), X5)
0.00/0.23	       | X5 = X4
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(X4, X5)), 
0.00/0.23	           X5)),
0.00/0.23	    inference('simplify', [status(thm)], ['2'])).
0.00/0.23	tff('4', plain,
0.00/0.23	    ![X12]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X12), sk_X)
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X12), sk_Y)
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, X12), sk_A2)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('5', plain,
0.00/0.23	    ![X4, X5]:
0.00/0.23	      (app_encode_app($i, $o, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(X4, X5)), X5)
0.00/0.23	       | X5 = X4
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), X4)
0.00/0.23	       | ~ setext),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_6])).
0.00/0.23	tff('6', plain,
0.00/0.23	    ![X4, X5]:
0.00/0.23	      (app_encode_app($i, $o, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(X4, X5)), X5)
0.00/0.23	       | X5 = X4
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), X4)
0.00/0.23	       | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['5', '1'])).
0.00/0.23	tff('7', plain,
0.00/0.23	    ![X4, X5]:
0.00/0.23	      (app_encode_app($i, $o, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), X4)
0.00/0.23	       | X5 = X4
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(X4, X5)), 
0.00/0.23	           X5)),
0.00/0.23	    inference('simplify', [status(thm)], ['6'])).
0.00/0.23	tff('8', plain,
0.00/0.23	    ![X4, X5]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(X4, X5)), 
0.00/0.23	           X4)
0.00/0.23	       | X5 = X4
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), X4)
0.00/0.23	       | ~ setext),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_6])).
0.00/0.23	tff('9', plain,
0.00/0.23	    ![X4, X5]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(X4, X5)), 
0.00/0.23	           X4)
0.00/0.23	       | X5 = X4
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), X4)
0.00/0.23	       | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['8', '1'])).
0.00/0.23	tff('10', plain,
0.00/0.23	    ![X4, X5]:
0.00/0.23	      (app_encode_app($i, $o, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), X4)
0.00/0.23	       | X5 = X4
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(X4, X5)), 
0.00/0.23	             X4)),
0.00/0.23	    inference('simplify', [status(thm)], ['9'])).
0.00/0.23	tff('11', plain,
0.00/0.23	    ![X0]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(sk_Y, X0)), 
0.00/0.23	             sk_A2)
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(sk_Y, X0)), 
0.00/0.23	             sk_X)
0.00/0.23	       | X0 = sk_Y
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, X0)), 
0.00/0.23	           sk_Y)),
0.00/0.23	    inference('sup-', [status(thm)], ['4', '10'])).
0.00/0.23	tff('12', plain,
0.00/0.23	    ![X0]:
0.00/0.23	      (app_encode_app($i, $o, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, X0)), 
0.00/0.23	         sk_Y)
0.00/0.23	       | X0 = sk_Y
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(sk_Y, X0)), 
0.00/0.23	             sk_X)
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(sk_Y, X0)), 
0.00/0.23	             sk_A2)),
0.00/0.23	    inference('simplify', [status(thm)], ['11'])).
0.00/0.23	tff('13', plain,
0.00/0.23	    app_encode_app($i, $o, 
0.00/0.23	      app_encode_app($i, app_encode_fun($i, $o), in, sk_X), 
0.00/0.23	      app_encode_app($i, $i, powerset, sk_A2)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff(zf_stmt_8, axiom,
0.00/0.23	  (powersetE <=>
0.00/0.23	   (![A,B,Xx]:
0.00/0.23	      (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,B),
0.00/0.23	                      app_encode_app($i,$i,powerset,A)) =>
0.00/0.23	       (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),B) =>
0.00/0.23	        app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),A)))))).
0.00/0.23	tff('14', plain,
0.00/0.23	    ![X8, X9, X10]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X8), X9)
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X8), X10)
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, X9), 
0.00/0.23	             app_encode_app($i, $i, powerset, X10))
0.00/0.23	       | ~ powersetE),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_8])).
0.00/0.23	tff('15', plain, powersetE, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('16', plain,
0.00/0.23	    ![X8, X9, X10]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X8), X9)
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X8), X10)
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, X9), 
0.00/0.23	             app_encode_app($i, $i, powerset, X10))
0.00/0.23	       | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['14', '15'])).
0.00/0.23	tff('17', plain,
0.00/0.23	    ![X8, X9, X10]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X9), 
0.00/0.23	           app_encode_app($i, $i, powerset, X10))
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X8), X10)
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, X8), X9)),
0.00/0.23	    inference('simplify', [status(thm)], ['16'])).
0.00/0.23	tff('18', plain,
0.00/0.23	    ![X0]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_X)
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_A2)),
0.00/0.23	    inference('sup-', [status(thm)], ['13', '17'])).
0.00/0.23	tff('19', plain,
0.00/0.23	    ![X0]:
0.00/0.23	      (app_encode_app($i, $o, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_A2)
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_X)),
0.00/0.23	    inference('simplify', [status(thm)], ['18'])).
0.00/0.23	tff('20', plain,
0.00/0.23	    ![X0]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(sk_Y, X0)), 
0.00/0.23	           sk_X)
0.00/0.23	       | X0 = sk_Y
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, X0)), 
0.00/0.23	           sk_Y)),
0.00/0.23	    inference('clc', [status(thm)], ['12', '19'])).
0.00/0.23	tff('21', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | sk_X = sk_Y
0.00/0.23	     | app_encode_app($i, $o, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.23	         sk_Y)
0.00/0.23	     | app_encode_app($i, $o, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.23	         sk_Y)
0.00/0.23	     | sk_X = sk_Y),
0.00/0.23	    inference('sup-', [status(thm)], ['7', '20'])).
0.00/0.23	tff('22', plain,
0.00/0.23	    (app_encode_app($i, $o, 
0.00/0.23	       app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.23	       sk_Y)
0.00/0.23	     | sk_X = sk_Y),
0.00/0.23	    inference('simplify', [status(thm)], ['21'])).
0.00/0.23	tff('23', plain, sk_X != sk_Y, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('24', plain,
0.00/0.23	    app_encode_app($i, $o, 
0.00/0.23	      app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.23	      sk_Y),
0.00/0.23	    inference('simplify_reflect-', [status(thm)], ['22', '23'])).
0.00/0.23	tff('25', plain,
0.00/0.23	    ![X11]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X11), sk_Y)
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X11), sk_X)
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, X11), sk_A2)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('26', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | ~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.23	           sk_A2)
0.00/0.23	     | app_encode_app($i, $o, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.23	         sk_X)),
0.00/0.23	    inference('sup-', [status(thm)], ['24', '25'])).
0.00/0.23	tff('27', plain,
0.00/0.23	    (app_encode_app($i, $o, 
0.00/0.23	       app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.23	       sk_X)
0.00/0.23	     | ~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.23	           sk_A2)),
0.00/0.23	    inference('simplify', [status(thm)], ['26'])).
0.00/0.23	tff('28', plain,
0.00/0.23	    app_encode_app($i, $o, 
0.00/0.23	      app_encode_app($i, app_encode_fun($i, $o), in, sk_Y), 
0.00/0.23	      app_encode_app($i, $i, powerset, sk_A2)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('29', plain,
0.00/0.23	    ![X0]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_Y)
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_A2)),
0.00/0.23	    inference('sup-', [status(thm)], ['28', '17'])).
0.00/0.23	tff('30', plain,
0.00/0.23	    ![X0]:
0.00/0.23	      (app_encode_app($i, $o, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_A2)
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_Y)),
0.00/0.23	    inference('simplify', [status(thm)], ['29'])).
0.00/0.23	tff('31', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | app_encode_app($i, $o, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.23	         sk_A2)),
0.00/0.23	    inference('sup-', [status(thm)], ['24', '30'])).
0.00/0.23	tff('32', plain,
0.00/0.23	    app_encode_app($i, $o, 
0.00/0.23	      app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.23	      sk_A2),
0.00/0.23	    inference('simplify', [status(thm)], ['31'])).
0.00/0.23	tff('33', plain,
0.00/0.23	    (app_encode_app($i, $o, 
0.00/0.23	       app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.23	       sk_X)
0.00/0.23	     | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['27', '32'])).
0.00/0.23	tff('34', plain,
0.00/0.23	    app_encode_app($i, $o, 
0.00/0.23	      app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.23	      sk_X),
0.00/0.23	    inference('simplify', [status(thm)], ['33'])).
0.00/0.23	tff('35', plain,
0.00/0.23	    ![X4, X5]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(X4, X5)), 
0.00/0.23	           X4)
0.00/0.23	       | X5 = X4
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), 
0.00/0.23	             X5)
0.00/0.23	       | ~ setext),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_6])).
0.00/0.23	tff('36', plain,
0.00/0.23	    ![X4, X5]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(X4, X5)), 
0.00/0.23	           X4)
0.00/0.23	       | X5 = X4
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), 
0.00/0.23	             X5)
0.00/0.23	       | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['35', '1'])).
0.00/0.23	tff('37', plain,
0.00/0.23	    ![X4, X5]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), X5)
0.00/0.23	       | X5 = X4
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(X4, X5)), 
0.00/0.23	             X4)),
0.00/0.23	    inference('simplify', [status(thm)], ['36'])).
0.00/0.23	tff('38', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | ~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(sk_Y, sk_X)), 
0.00/0.23	           sk_Y)
0.00/0.23	     | sk_X = sk_Y),
0.00/0.23	    inference('sup-', [status(thm)], ['34', '37'])).
0.00/0.23	tff('39', plain,
0.00/0.23	    (sk_X = sk_Y
0.00/0.23	     | ~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(sk_Y, sk_X)), 
0.00/0.23	           sk_Y)),
0.00/0.23	    inference('simplify', [status(thm)], ['38'])).
0.00/0.23	tff('40', plain,
0.00/0.23	    ~ app_encode_app($i, $o, 
0.00/0.23	        app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(sk_Y, sk_X)), 
0.00/0.23	        sk_Y),
0.00/0.23	    inference('simplify_reflect-', [status(thm)], ['39', '23'])).
0.00/0.23	tff('41', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | ~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(sk_Y, sk_X)), 
0.00/0.23	           sk_A2)
0.00/0.23	     | ~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(sk_Y, sk_X)), 
0.00/0.23	           sk_X)),
0.00/0.23	    inference('sup-', [status(thm)], ['4', '40'])).
0.00/0.23	tff('42', plain,
0.00/0.23	    (~ app_encode_app($i, $o, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(sk_Y, sk_X)), 
0.00/0.23	         sk_X)
0.00/0.23	     | ~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(sk_Y, sk_X)), 
0.00/0.23	           sk_A2)),
0.00/0.23	    inference('simplify', [status(thm)], ['41'])).
0.00/0.23	tff('43', plain,
0.00/0.23	    ~ app_encode_app($i, $o, 
0.00/0.23	        app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(sk_Y, sk_X)), 
0.00/0.23	        sk_X),
0.00/0.23	    inference('clc', [status(thm)], ['42', '19'])).
0.00/0.23	tff('44', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | sk_X = sk_Y
0.00/0.23	     | ~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.23	           sk_X)),
0.00/0.23	    inference('sup-', [status(thm)], ['3', '43'])).
0.00/0.23	tff('45', plain, (~ $true | sk_X = sk_Y | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['44', '34'])).
0.00/0.23	tff('46', plain, sk_X = sk_Y, inference('simplify', [status(thm)], ['45'])).
0.00/0.23	tff('47', plain, $false,
0.00/0.23	    inference('simplify_reflect-', [status(thm)], ['46', '23'])).
0.00/0.23	
0.00/0.23	% SZS output end Refutation
0.00/0.23	EOF
