0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n043.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 17:15:39 CST 2018
0.00/0.22	% done 40 iterations in 0.019s
0.00/0.22	% SZS status Theorem for 'stdin'
0.00/0.22	% SZS output start Refutation
0.00/0.22	tff(zf_stmt_5, axiom,
0.00/0.22	  (setext <=>
0.00/0.22	   (![A,B]:
0.00/0.22	      ((![Xx]:
0.00/0.22	          (app_encode_app($i,$o,
0.00/0.22	                          app_encode_app($i,app_encode_fun($i,$o),in,Xx),A) =>
0.00/0.22	           app_encode_app($i,$o,
0.00/0.22	                          app_encode_app($i,app_encode_fun($i,$o),in,Xx),B))) =>
0.00/0.22	       ((![Xx]:
0.00/0.22	           (app_encode_app($i,$o,
0.00/0.22	                           app_encode_app($i,app_encode_fun($i,$o),in,Xx),B) =>
0.00/0.22	            app_encode_app($i,$o,
0.00/0.22	                           app_encode_app($i,app_encode_fun($i,$o),in,Xx),A))) =>
0.00/0.22	        (A = B)))))).
0.00/0.22	tff('0', plain,
0.00/0.22	    ![X0, X1]:
0.00/0.22	      (app_encode_app($i, $o, 
0.00/0.22	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(X0, X1)), X1)
0.00/0.22	       | X1 = X0
0.00/0.22	       | app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X0, X1)), X0)
0.00/0.22	       | ~ setext),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.22	tff(zf_stmt_8, conjecture,
0.00/0.22	  (setext =>
0.00/0.22	   (powersetE =>
0.00/0.22	    (![A,X]:
0.00/0.22	       (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,X),
0.00/0.22	                       app_encode_app($i,$i,powerset,A)) =>
0.00/0.22	        (![Y]:
0.00/0.22	           (app_encode_app($i,$o,
0.00/0.22	                           app_encode_app($i,app_encode_fun($i,$o),in,Y),
0.00/0.22	                           app_encode_app($i,$i,powerset,A)) =>
0.00/0.22	            ((![Xx]:
0.00/0.22	                (app_encode_app($i,$o,
0.00/0.22	                                app_encode_app($i,app_encode_fun($i,$o),in,Xx),
0.00/0.22	                                A) =>
0.00/0.22	                 (app_encode_app($i,$o,
0.00/0.22	                                 app_encode_app($i,app_encode_fun($i,$o),in,
0.00/0.22	                                                Xx),
0.00/0.22	                                 X) =>
0.00/0.22	                  app_encode_app($i,$o,
0.00/0.22	                                 app_encode_app($i,app_encode_fun($i,$o),in,
0.00/0.22	                                                Xx),
0.00/0.22	                                 Y)))) =>
0.00/0.22	             ((![Xx]:
0.00/0.22	                 (app_encode_app($i,$o,
0.00/0.22	                                 app_encode_app($i,app_encode_fun($i,$o),in,
0.00/0.22	                                                Xx),
0.00/0.22	                                 A) =>
0.00/0.22	                  (app_encode_app($i,$o,
0.00/0.22	                                  app_encode_app($i,app_encode_fun($i,$o),in,
0.00/0.22	                                                 Xx),
0.00/0.22	                                  Y) =>
0.00/0.22	                   app_encode_app($i,$o,
0.00/0.22	                                  app_encode_app($i,app_encode_fun($i,$o),in,
0.00/0.22	                                                 Xx),
0.00/0.22	                                  X)))) =>
0.00/0.22	              (X = Y)))))))))).
0.00/0.22	tff(zf_stmt_0, negated_conjecture,
0.00/0.22	  (~
0.00/0.22	    (setext =>
0.00/0.22	     (powersetE =>
0.00/0.22	      (![A,X]:
0.00/0.22	         (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,X),
0.00/0.22	                         app_encode_app($i,$i,powerset,A)) =>
0.00/0.22	          (![Y]:
0.00/0.22	             (app_encode_app($i,$o,
0.00/0.22	                             app_encode_app($i,app_encode_fun($i,$o),in,Y),
0.00/0.22	                             app_encode_app($i,$i,powerset,A)) =>
0.00/0.22	              ((![Xx]:
0.00/0.22	                  (app_encode_app($i,$o,
0.00/0.22	                                  app_encode_app($i,app_encode_fun($i,$o),in,
0.00/0.22	                                                 Xx),
0.00/0.22	                                  A) =>
0.00/0.22	                   (app_encode_app($i,$o,
0.00/0.22	                                   app_encode_app($i,app_encode_fun($i,$o),
0.00/0.22	                                                  in,Xx),
0.00/0.22	                                   X) =>
0.00/0.22	                    app_encode_app($i,$o,
0.00/0.22	                                   app_encode_app($i,app_encode_fun($i,$o),
0.00/0.22	                                                  in,Xx),
0.00/0.22	                                   Y)))) =>
0.00/0.22	               ((![Xx]:
0.00/0.22	                   (app_encode_app($i,$o,
0.00/0.22	                                   app_encode_app($i,app_encode_fun($i,$o),
0.00/0.22	                                                  in,Xx),
0.00/0.22	                                   A) =>
0.00/0.22	                    (app_encode_app($i,$o,
0.00/0.22	                                    app_encode_app($i,app_encode_fun($i,$o),
0.00/0.22	                                                   in,Xx),
0.00/0.22	                                    Y) =>
0.00/0.22	                     app_encode_app($i,$o,
0.00/0.22	                                    app_encode_app($i,app_encode_fun($i,$o),
0.00/0.22	                                                   in,Xx),
0.00/0.22	                                    X)))) =>
0.00/0.22	                (X = Y))))))))))).
0.00/0.22	tff('1', plain, setext, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('2', plain,
0.00/0.22	    ![X0, X1]:
0.00/0.22	      (app_encode_app($i, $o, 
0.00/0.22	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(X0, X1)), X1)
0.00/0.22	       | X1 = X0
0.00/0.22	       | app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X0, X1)), X0)
0.00/0.22	       | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['0', '1'])).
0.00/0.22	tff('3', plain,
0.00/0.22	    ![X0, X1]:
0.00/0.22	      (app_encode_app($i, $o, 
0.00/0.22	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X0, X1)), X0)
0.00/0.22	       | X1 = X0
0.00/0.22	       | app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(X0, X1)), 
0.00/0.22	           X1)),
0.00/0.22	    inference('simplify', [status(thm)], ['2'])).
0.00/0.22	tff('4', plain,
0.00/0.22	    ![X8]:
0.00/0.22	      (~ app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, X8), sk_X)
0.00/0.22	       | app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, X8), sk_Y)
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, X8), sk_A2)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('5', plain,
0.00/0.22	    ![X0, X1]:
0.00/0.22	      (~ app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(X0, X1)), 
0.00/0.22	           X0)
0.00/0.22	       | X1 = X0
0.00/0.22	       | app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X0, X1)), X0)
0.00/0.22	       | ~ setext),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.22	tff('6', plain,
0.00/0.22	    ![X0, X1]:
0.00/0.22	      (~ app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(X0, X1)), 
0.00/0.22	           X0)
0.00/0.22	       | X1 = X0
0.00/0.22	       | app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X0, X1)), X0)
0.00/0.22	       | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['5', '1'])).
0.00/0.22	tff('7', plain,
0.00/0.22	    ![X0, X1]:
0.00/0.22	      (app_encode_app($i, $o, 
0.00/0.22	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X0, X1)), X0)
0.00/0.22	       | X1 = X0
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(X0, X1)), 
0.00/0.22	             X0)),
0.00/0.22	    inference('simplify', [status(thm)], ['6'])).
0.00/0.22	tff('8', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(sk_Y, X0)), 
0.00/0.22	             sk_A2)
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(sk_Y, X0)), 
0.00/0.22	             sk_X)
0.00/0.22	       | X0 = sk_Y
0.00/0.22	       | app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, X0)), 
0.00/0.22	           sk_Y)),
0.00/0.22	    inference('sup-', [status(thm)], ['4', '7'])).
0.00/0.22	tff('9', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (app_encode_app($i, $o, 
0.00/0.22	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, X0)), 
0.00/0.22	         sk_Y)
0.00/0.22	       | X0 = sk_Y
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(sk_Y, X0)), 
0.00/0.22	             sk_X)
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(sk_Y, X0)), 
0.00/0.22	             sk_A2)),
0.00/0.22	    inference('simplify', [status(thm)], ['8'])).
0.00/0.22	tff('10', plain,
0.00/0.22	    app_encode_app($i, $o, 
0.00/0.22	      app_encode_app($i, app_encode_fun($i, $o), in, sk_X), 
0.00/0.22	      app_encode_app($i, $i, powerset, sk_A2)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff(zf_stmt_7, axiom,
0.00/0.22	  (powersetE <=>
0.00/0.22	   (![A,B,Xx]:
0.00/0.22	      (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,B),
0.00/0.22	                      app_encode_app($i,$i,powerset,A)) =>
0.00/0.22	       (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),B) =>
0.00/0.22	        app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),A)))))).
0.00/0.22	tff('11', plain,
0.00/0.22	    ![X4, X5, X6]:
0.00/0.22	      (~ app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, X4), X5)
0.00/0.22	       | app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, X4), X6)
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, X5), 
0.00/0.22	             app_encode_app($i, $i, powerset, X6))
0.00/0.22	       | ~ powersetE),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.22	tff('12', plain, powersetE, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('13', plain,
0.00/0.22	    ![X4, X5, X6]:
0.00/0.22	      (~ app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, X4), X5)
0.00/0.22	       | app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, X4), X6)
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, X5), 
0.00/0.22	             app_encode_app($i, $i, powerset, X6))
0.00/0.22	       | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['11', '12'])).
0.00/0.22	tff('14', plain,
0.00/0.22	    ![X4, X5, X6]:
0.00/0.22	      (~ app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, X5), 
0.00/0.22	           app_encode_app($i, $i, powerset, X6))
0.00/0.22	       | app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, X4), X6)
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, X4), X5)),
0.00/0.22	    inference('simplify', [status(thm)], ['13'])).
0.00/0.22	tff('15', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_X)
0.00/0.22	       | app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_A2)),
0.00/0.22	    inference('sup-', [status(thm)], ['10', '14'])).
0.00/0.22	tff('16', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (app_encode_app($i, $o, 
0.00/0.22	         app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_A2)
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_X)),
0.00/0.22	    inference('simplify', [status(thm)], ['15'])).
0.00/0.22	tff('17', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (~ app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(sk_Y, X0)), 
0.00/0.22	           sk_X)
0.00/0.22	       | X0 = sk_Y
0.00/0.22	       | app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, X0)), 
0.00/0.22	           sk_Y)),
0.00/0.22	    inference('clc', [status(thm)], ['9', '16'])).
0.00/0.22	tff('18', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | sk_X = sk_Y
0.00/0.22	     | app_encode_app($i, $o, 
0.00/0.22	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.22	         sk_Y)
0.00/0.22	     | app_encode_app($i, $o, 
0.00/0.22	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.22	         sk_Y)
0.00/0.22	     | sk_X = sk_Y),
0.00/0.22	    inference('sup-', [status(thm)], ['3', '17'])).
0.00/0.22	tff('19', plain,
0.00/0.22	    (app_encode_app($i, $o, 
0.00/0.22	       app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.22	       sk_Y)
0.00/0.22	     | sk_X = sk_Y),
0.00/0.22	    inference('simplify', [status(thm)], ['18'])).
0.00/0.22	tff('20', plain, sk_X != sk_Y, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('21', plain,
0.00/0.22	    app_encode_app($i, $o, 
0.00/0.22	      app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.22	      sk_Y),
0.00/0.22	    inference('simplify_reflect-', [status(thm)], ['19', '20'])).
0.00/0.22	tff('22', plain,
0.00/0.22	    ![X7]:
0.00/0.22	      (~ app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, X7), sk_Y)
0.00/0.22	       | app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, X7), sk_X)
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, X7), sk_A2)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('23', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | ~ app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.22	           sk_A2)
0.00/0.22	     | app_encode_app($i, $o, 
0.00/0.22	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.22	         sk_X)),
0.00/0.22	    inference('sup-', [status(thm)], ['21', '22'])).
0.00/0.22	tff('24', plain,
0.00/0.22	    (app_encode_app($i, $o, 
0.00/0.22	       app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.22	       sk_X)
0.00/0.22	     | ~ app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.22	           sk_A2)),
0.00/0.22	    inference('simplify', [status(thm)], ['23'])).
0.00/0.22	tff('25', plain,
0.00/0.22	    app_encode_app($i, $o, 
0.00/0.22	      app_encode_app($i, app_encode_fun($i, $o), in, sk_Y), 
0.00/0.22	      app_encode_app($i, $i, powerset, sk_A2)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('26', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_Y)
0.00/0.22	       | app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_A2)),
0.00/0.22	    inference('sup-', [status(thm)], ['25', '14'])).
0.00/0.22	tff('27', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (app_encode_app($i, $o, 
0.00/0.22	         app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_A2)
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_Y)),
0.00/0.22	    inference('simplify', [status(thm)], ['26'])).
0.00/0.22	tff('28', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | app_encode_app($i, $o, 
0.00/0.22	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.22	         sk_A2)),
0.00/0.22	    inference('sup-', [status(thm)], ['21', '27'])).
0.00/0.22	tff('29', plain,
0.00/0.22	    app_encode_app($i, $o, 
0.00/0.22	      app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.22	      sk_A2),
0.00/0.22	    inference('simplify', [status(thm)], ['28'])).
0.00/0.22	tff('30', plain,
0.00/0.22	    (app_encode_app($i, $o, 
0.00/0.22	       app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.22	       sk_X)
0.00/0.22	     | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['24', '29'])).
0.00/0.22	tff('31', plain,
0.00/0.22	    app_encode_app($i, $o, 
0.00/0.22	      app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.22	      sk_X),
0.00/0.22	    inference('simplify', [status(thm)], ['30'])).
0.00/0.22	tff('32', plain,
0.00/0.22	    ![X0, X1]:
0.00/0.22	      (app_encode_app($i, $o, 
0.00/0.22	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(X0, X1)), X1)
0.00/0.22	       | X1 = X0
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X0, X1)), 
0.00/0.22	             X1)
0.00/0.22	       | ~ setext),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.22	tff('33', plain,
0.00/0.22	    ![X0, X1]:
0.00/0.22	      (app_encode_app($i, $o, 
0.00/0.22	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(X0, X1)), X1)
0.00/0.22	       | X1 = X0
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X0, X1)), 
0.00/0.22	             X1)
0.00/0.22	       | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['32', '1'])).
0.00/0.22	tff('34', plain,
0.00/0.22	    ![X0, X1]:
0.00/0.22	      (~ app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X0, X1)), X1)
0.00/0.22	       | X1 = X0
0.00/0.22	       | app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(X0, X1)), 
0.00/0.22	           X1)),
0.00/0.22	    inference('simplify', [status(thm)], ['33'])).
0.00/0.22	tff('35', plain,
0.00/0.22	    ![X0, X1]:
0.00/0.22	      (~ app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(X0, X1)), 
0.00/0.22	           X0)
0.00/0.22	       | X1 = X0
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X0, X1)), 
0.00/0.22	             X1)
0.00/0.22	       | ~ setext),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.22	tff('36', plain,
0.00/0.22	    ![X0, X1]:
0.00/0.22	      (~ app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(X0, X1)), 
0.00/0.22	           X0)
0.00/0.22	       | X1 = X0
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X0, X1)), 
0.00/0.22	             X1)
0.00/0.22	       | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['35', '1'])).
0.00/0.22	tff('37', plain,
0.00/0.22	    ![X0, X1]:
0.00/0.22	      (~ app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X0, X1)), X1)
0.00/0.22	       | X1 = X0
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(X0, X1)), 
0.00/0.22	             X0)),
0.00/0.22	    inference('simplify', [status(thm)], ['36'])).
0.00/0.22	tff('38', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(sk_Y, X0)), 
0.00/0.22	             sk_A2)
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(sk_Y, X0)), 
0.00/0.22	             sk_X)
0.00/0.22	       | X0 = sk_Y
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, X0)), 
0.00/0.22	             X0)),
0.00/0.22	    inference('sup-', [status(thm)], ['4', '37'])).
0.00/0.22	tff('39', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (~ app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, X0)), 
0.00/0.22	           X0)
0.00/0.22	       | X0 = sk_Y
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(sk_Y, X0)), 
0.00/0.22	             sk_X)
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(sk_Y, X0)), 
0.00/0.22	             sk_A2)),
0.00/0.22	    inference('simplify', [status(thm)], ['38'])).
0.00/0.22	tff('40', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (~ app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(sk_Y, X0)), 
0.00/0.22	           sk_X)
0.00/0.22	       | X0 = sk_Y
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, X0)), 
0.00/0.22	             X0)),
0.00/0.22	    inference('clc', [status(thm)], ['39', '16'])).
0.00/0.22	tff('41', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | sk_X = sk_Y
0.00/0.22	     | ~ app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.22	           sk_X)
0.00/0.22	     | ~ app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.22	           sk_X)
0.00/0.22	     | sk_X = sk_Y),
0.00/0.22	    inference('sup-', [status(thm)], ['34', '40'])).
0.00/0.22	tff('42', plain,
0.00/0.22	    (~ app_encode_app($i, $o, 
0.00/0.22	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.22	         sk_X)
0.00/0.22	     | sk_X = sk_Y),
0.00/0.22	    inference('simplify', [status(thm)], ['41'])).
0.00/0.22	tff('43', plain,
0.00/0.22	    ~ app_encode_app($i, $o, 
0.00/0.22	        app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_Y, sk_X)), 
0.00/0.22	        sk_X),
0.00/0.22	    inference('simplify_reflect-', [status(thm)], ['42', '20'])).
0.00/0.22	tff('44', plain, ~ $true, inference('sup-', [status(thm)], ['31', '43'])).
0.00/0.22	tff('45', plain, $false, inference('simplify', [status(thm)], ['44'])).
0.00/0.22	
0.00/0.22	% SZS output end Refutation
0.00/0.22	EOF
