0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : appext
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : kbo
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n035.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 17:15:40 CST 2018
0.00/0.25	% done 39 iterations in 0.040s
0.00/0.25	% SZS status Theorem for 'stdin'
0.00/0.25	% SZS output start Refutation
0.00/0.25	tff(zf_stmt_10, conjecture,
0.00/0.25	  (powersetI1 =>
0.00/0.25	   (subsetTI =>
0.00/0.25	    (![A,X]:
0.00/0.25	       (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,X),
0.00/0.25	                       app_encode_app($i,$i,powerset,A)) =>
0.00/0.25	        (![Y]:
0.00/0.25	           (app_encode_app($i,$o,
0.00/0.25	                           app_encode_app($i,app_encode_fun($i,$o),in,Y),
0.00/0.25	                           app_encode_app($i,$i,powerset,A)) =>
0.00/0.25	            ((![Xx]:
0.00/0.25	                (app_encode_app($i,$o,
0.00/0.25	                                app_encode_app($i,app_encode_fun($i,$o),in,Xx),
0.00/0.25	                                A) =>
0.00/0.25	                 (app_encode_app($i,$o,
0.00/0.25	                                 app_encode_app($i,app_encode_fun($i,$o),in,
0.00/0.25	                                                Xx),
0.00/0.25	                                 X) =>
0.00/0.25	                  app_encode_app($i,$o,
0.00/0.25	                                 app_encode_app($i,app_encode_fun($i,$o),in,
0.00/0.25	                                                Xx),
0.00/0.25	                                 Y)))) =>
0.00/0.25	             app_encode_app($i,$o,
0.00/0.25	                            app_encode_app($i,app_encode_fun($i,$o),in,X),
0.00/0.25	                            app_encode_app($i,$i,powerset,Y)))))))))).
0.00/0.25	tff(zf_stmt_0, negated_conjecture,
0.00/0.25	  (~
0.00/0.25	    (powersetI1 =>
0.00/0.25	     (subsetTI =>
0.00/0.25	      (![A,X]:
0.00/0.25	         (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,X),
0.00/0.25	                         app_encode_app($i,$i,powerset,A)) =>
0.00/0.25	          (![Y]:
0.00/0.25	             (app_encode_app($i,$o,
0.00/0.25	                             app_encode_app($i,app_encode_fun($i,$o),in,Y),
0.00/0.25	                             app_encode_app($i,$i,powerset,A)) =>
0.00/0.25	              ((![Xx]:
0.00/0.25	                  (app_encode_app($i,$o,
0.00/0.25	                                  app_encode_app($i,app_encode_fun($i,$o),in,
0.00/0.25	                                                 Xx),
0.00/0.25	                                  A) =>
0.00/0.25	                   (app_encode_app($i,$o,
0.00/0.25	                                   app_encode_app($i,app_encode_fun($i,$o),
0.00/0.25	                                                  in,Xx),
0.00/0.25	                                   X) =>
0.00/0.25	                    app_encode_app($i,$o,
0.00/0.25	                                   app_encode_app($i,app_encode_fun($i,$o),
0.00/0.25	                                                  in,Xx),
0.00/0.25	                                   Y)))) =>
0.00/0.25	               app_encode_app($i,$o,
0.00/0.25	                              app_encode_app($i,app_encode_fun($i,$o),in,X),
0.00/0.25	                              app_encode_app($i,$i,powerset,Y))))))))))).
0.00/0.25	tff('0', plain,
0.00/0.25	    app_encode_app($i, $o, 
0.00/0.25	      app_encode_app($i, app_encode_fun($i, $o), in, sk_X1), 
0.00/0.25	      app_encode_app($i, $i, powerset, sk_A2)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff('1', plain,
0.00/0.25	    app_encode_app($i, $o, 
0.00/0.25	      app_encode_app($i, app_encode_fun($i, $o), in, sk_Y1), 
0.00/0.25	      app_encode_app($i, $i, powerset, sk_A2)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff(zf_stmt_9, axiom,
0.00/0.25	  (subsetTI <=>
0.00/0.25	   (![A,X]:
0.00/0.25	      (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,X),
0.00/0.25	                      app_encode_app($i,$i,powerset,A)) =>
0.00/0.25	       (![Y]:
0.00/0.25	          (app_encode_app($i,$o,
0.00/0.25	                          app_encode_app($i,app_encode_fun($i,$o),in,Y),
0.00/0.25	                          app_encode_app($i,$i,powerset,A)) =>
0.00/0.25	           ((![Xx]:
0.00/0.25	               (app_encode_app($i,$o,
0.00/0.25	                               app_encode_app($i,app_encode_fun($i,$o),in,Xx),
0.00/0.25	                               A) =>
0.00/0.25	                (app_encode_app($i,$o,
0.00/0.25	                                app_encode_app($i,app_encode_fun($i,$o),in,Xx),
0.00/0.25	                                X) =>
0.00/0.25	                 app_encode_app($i,$o,
0.00/0.25	                                app_encode_app($i,app_encode_fun($i,$o),in,Xx),
0.00/0.25	                                Y)))) =>
0.00/0.25	            app_encode_app($i,$o,
0.00/0.25	                           app_encode_app($i,app_encode_fun($i,$o),subset,X),
0.00/0.25	                           Y)))))))).
0.00/0.25	tff('2', plain,
0.00/0.25	    ![X6, X7, X8]:
0.00/0.25	      (~ app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), in, X6), 
0.00/0.25	           app_encode_app($i, $i, powerset, X7))
0.00/0.25	       | app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X8, X6, X7)), 
0.00/0.25	           X6)
0.00/0.25	       | app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), subset, X6), X8)
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), in, X8), 
0.00/0.25	             app_encode_app($i, $i, powerset, X7))
0.00/0.25	       | ~ subsetTI),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_9])).
0.00/0.25	tff('3', plain, subsetTI, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff('4', plain,
0.00/0.25	    ![X6, X7, X8]:
0.00/0.25	      (~ app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), in, X6), 
0.00/0.25	           app_encode_app($i, $i, powerset, X7))
0.00/0.25	       | app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X8, X6, X7)), 
0.00/0.25	           X6)
0.00/0.25	       | app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), subset, X6), X8)
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), in, X8), 
0.00/0.25	             app_encode_app($i, $i, powerset, X7))
0.00/0.25	       | ~ $true),
0.00/0.25	    inference('demod', [status(thm)], ['2', '3'])).
0.00/0.25	tff('5', plain,
0.00/0.25	    ![X6, X7, X8]:
0.00/0.25	      (~ app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), in, X8), 
0.00/0.25	           app_encode_app($i, $i, powerset, X7))
0.00/0.25	       | app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), subset, X6), X8)
0.00/0.25	       | app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X8, X6, X7)), 
0.00/0.25	           X6)
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), in, X6), 
0.00/0.25	             app_encode_app($i, $i, powerset, X7))),
0.00/0.25	    inference('simplify', [status(thm)], ['4'])).
0.00/0.25	tff('6', plain,
0.00/0.25	    ![X0]:
0.00/0.25	      (~ $true
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
0.00/0.25	             app_encode_app($i, $i, powerset, sk_A2))
0.00/0.25	       | app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.25	             sk_Xx(sk_Y1, X0, sk_A2)), X0)
0.00/0.25	       | app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), subset, X0), sk_Y1)),
0.00/0.25	    inference('sup-', [status(thm)], ['1', '5'])).
0.00/0.25	tff('7', plain,
0.00/0.25	    ![X0]:
0.00/0.25	      (app_encode_app($i, $o, 
0.00/0.25	         app_encode_app($i, app_encode_fun($i, $o), subset, X0), sk_Y1)
0.00/0.25	       | app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.25	             sk_Xx(sk_Y1, X0, sk_A2)), X0)
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
0.00/0.25	             app_encode_app($i, $i, powerset, sk_A2))),
0.00/0.25	    inference('simplify', [status(thm)], ['6'])).
0.00/0.25	tff('8', plain,
0.00/0.25	    (~ $true
0.00/0.25	     | app_encode_app($i, $o, 
0.00/0.25	         app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.25	           sk_Xx(sk_Y1, sk_X1, sk_A2)), sk_X1)
0.00/0.25	     | app_encode_app($i, $o, 
0.00/0.25	         app_encode_app($i, app_encode_fun($i, $o), subset, sk_X1), sk_Y1)),
0.00/0.25	    inference('sup-', [status(thm)], ['0', '7'])).
0.00/0.25	tff('9', plain,
0.00/0.25	    (app_encode_app($i, $o, 
0.00/0.25	       app_encode_app($i, app_encode_fun($i, $o), subset, sk_X1), sk_Y1)
0.00/0.25	     | app_encode_app($i, $o, 
0.00/0.25	         app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.25	           sk_Xx(sk_Y1, sk_X1, sk_A2)), sk_X1)),
0.00/0.25	    inference('simplify', [status(thm)], ['8'])).
0.00/0.25	tff(zf_stmt_7, axiom,
0.00/0.25	  (powersetI1 <=>
0.00/0.25	   (![A,B]:
0.00/0.25	      (app_encode_app($i,$o,
0.00/0.25	                      app_encode_app($i,app_encode_fun($i,$o),subset,B),A) =>
0.00/0.25	       app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,B),
0.00/0.25	                      app_encode_app($i,$i,powerset,A)))))).
0.00/0.25	tff('10', plain,
0.00/0.25	    ![X4, X5]:
0.00/0.25	      (~ app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), subset, X4), X5)
0.00/0.25	       | app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), in, X4), 
0.00/0.25	           app_encode_app($i, $i, powerset, X5))
0.00/0.25	       | ~ powersetI1),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.25	tff('11', plain, powersetI1, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff('12', plain,
0.00/0.25	    ![X4, X5]:
0.00/0.25	      (~ app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), subset, X4), X5)
0.00/0.25	       | app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), in, X4), 
0.00/0.25	           app_encode_app($i, $i, powerset, X5))
0.00/0.25	       | ~ $true),
0.00/0.25	    inference('demod', [status(thm)], ['10', '11'])).
0.00/0.25	tff('13', plain,
0.00/0.25	    ![X4, X5]:
0.00/0.25	      (app_encode_app($i, $o, 
0.00/0.25	         app_encode_app($i, app_encode_fun($i, $o), in, X4), 
0.00/0.25	         app_encode_app($i, $i, powerset, X5))
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), subset, X4), X5)),
0.00/0.25	    inference('simplify', [status(thm)], ['12'])).
0.00/0.25	tff('14', plain,
0.00/0.25	    ~ app_encode_app($i, $o, 
0.00/0.25	        app_encode_app($i, app_encode_fun($i, $o), in, sk_X1), 
0.00/0.25	        app_encode_app($i, $i, powerset, sk_Y1)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff('15', plain,
0.00/0.25	    (~ $true
0.00/0.25	     | ~ app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), subset, sk_X1), sk_Y1)),
0.00/0.25	    inference('sup-', [status(thm)], ['13', '14'])).
0.00/0.25	tff('16', plain,
0.00/0.25	    ~ app_encode_app($i, $o, 
0.00/0.25	        app_encode_app($i, app_encode_fun($i, $o), subset, sk_X1), sk_Y1),
0.00/0.25	    inference('simplify', [status(thm)], ['15'])).
0.00/0.25	tff('17', plain,
0.00/0.25	    app_encode_app($i, $o, 
0.00/0.25	      app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.25	        sk_Xx(sk_Y1, sk_X1, sk_A2)), sk_X1),
0.00/0.25	    inference('clc', [status(thm)], ['9', '16'])).
0.00/0.25	tff('18', plain,
0.00/0.25	    ![X10]:
0.00/0.25	      (~ app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), in, X10), sk_X1)
0.00/0.25	       | app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), in, X10), sk_Y1)
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), in, X10), sk_A2)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff('19', plain,
0.00/0.25	    ![X6, X7, X8]:
0.00/0.25	      (~ app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), in, X6), 
0.00/0.25	           app_encode_app($i, $i, powerset, X7))
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.25	               sk_Xx(X8, X6, X7)), X8)
0.00/0.25	       | app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), subset, X6), X8)
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), in, X8), 
0.00/0.25	             app_encode_app($i, $i, powerset, X7))
0.00/0.25	       | ~ subsetTI),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_9])).
0.00/0.25	tff('20', plain,
0.00/0.25	    ![X6, X7, X8]:
0.00/0.25	      (~ app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), in, X6), 
0.00/0.25	           app_encode_app($i, $i, powerset, X7))
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.25	               sk_Xx(X8, X6, X7)), X8)
0.00/0.25	       | app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), subset, X6), X8)
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), in, X8), 
0.00/0.25	             app_encode_app($i, $i, powerset, X7))
0.00/0.25	       | ~ $true),
0.00/0.25	    inference('demod', [status(thm)], ['19', '3'])).
0.00/0.25	tff('21', plain,
0.00/0.25	    ![X6, X7, X8]:
0.00/0.25	      (~ app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), in, X8), 
0.00/0.25	           app_encode_app($i, $i, powerset, X7))
0.00/0.25	       | app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), subset, X6), X8)
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.25	               sk_Xx(X8, X6, X7)), X8)
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), in, X6), 
0.00/0.25	             app_encode_app($i, $i, powerset, X7))),
0.00/0.25	    inference('simplify', [status(thm)], ['20'])).
0.00/0.25	tff('22', plain,
0.00/0.25	    ![X0]:
0.00/0.25	      (~ $true
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
0.00/0.25	             app_encode_app($i, $i, powerset, sk_A2))
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.25	               sk_Xx(sk_Y1, X0, sk_A2)), sk_Y1)
0.00/0.25	       | app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), subset, X0), sk_Y1)),
0.00/0.25	    inference('sup-', [status(thm)], ['1', '21'])).
0.00/0.25	tff('23', plain,
0.00/0.25	    ![X0]:
0.00/0.25	      (app_encode_app($i, $o, 
0.00/0.25	         app_encode_app($i, app_encode_fun($i, $o), subset, X0), sk_Y1)
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.25	               sk_Xx(sk_Y1, X0, sk_A2)), sk_Y1)
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
0.00/0.25	             app_encode_app($i, $i, powerset, sk_A2))),
0.00/0.25	    inference('simplify', [status(thm)], ['22'])).
0.00/0.25	tff('24', plain,
0.00/0.25	    ![X0]:
0.00/0.25	      (~ $true
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.25	               sk_Xx(sk_Y1, X0, sk_A2)), sk_A2)
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.25	               sk_Xx(sk_Y1, X0, sk_A2)), sk_X1)
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
0.00/0.25	             app_encode_app($i, $i, powerset, sk_A2))
0.00/0.25	       | app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), subset, X0), sk_Y1)),
0.00/0.25	    inference('sup-', [status(thm)], ['18', '23'])).
0.00/0.25	tff('25', plain,
0.00/0.25	    ![X0]:
0.00/0.25	      (app_encode_app($i, $o, 
0.00/0.25	         app_encode_app($i, app_encode_fun($i, $o), subset, X0), sk_Y1)
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
0.00/0.25	             app_encode_app($i, $i, powerset, sk_A2))
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.25	               sk_Xx(sk_Y1, X0, sk_A2)), sk_X1)
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.25	               sk_Xx(sk_Y1, X0, sk_A2)), sk_A2)),
0.00/0.25	    inference('simplify', [status(thm)], ['24'])).
0.00/0.25	tff('26', plain,
0.00/0.25	    ![X6, X7, X8]:
0.00/0.25	      (~ app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), in, X6), 
0.00/0.25	           app_encode_app($i, $i, powerset, X7))
0.00/0.25	       | app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X8, X6, X7)), 
0.00/0.25	           X7)
0.00/0.25	       | app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), subset, X6), X8)
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), in, X8), 
0.00/0.25	             app_encode_app($i, $i, powerset, X7))
0.00/0.25	       | ~ subsetTI),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_9])).
0.00/0.25	tff('27', plain,
0.00/0.25	    ![X6, X7, X8]:
0.00/0.25	      (~ app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), in, X6), 
0.00/0.25	           app_encode_app($i, $i, powerset, X7))
0.00/0.25	       | app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X8, X6, X7)), 
0.00/0.25	           X7)
0.00/0.25	       | app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), subset, X6), X8)
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), in, X8), 
0.00/0.25	             app_encode_app($i, $i, powerset, X7))
0.00/0.25	       | ~ $true),
0.00/0.25	    inference('demod', [status(thm)], ['26', '3'])).
0.00/0.25	tff('28', plain,
0.00/0.25	    ![X6, X7, X8]:
0.00/0.25	      (~ app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), in, X8), 
0.00/0.25	           app_encode_app($i, $i, powerset, X7))
0.00/0.25	       | app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), subset, X6), X8)
0.00/0.25	       | app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X8, X6, X7)), 
0.00/0.25	           X7)
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), in, X6), 
0.00/0.25	             app_encode_app($i, $i, powerset, X7))),
0.00/0.25	    inference('simplify', [status(thm)], ['27'])).
0.00/0.25	tff('29', plain,
0.00/0.25	    ![X0]:
0.00/0.25	      (~ $true
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
0.00/0.25	             app_encode_app($i, $i, powerset, sk_A2))
0.00/0.25	       | app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.25	             sk_Xx(sk_Y1, X0, sk_A2)), sk_A2)
0.00/0.25	       | app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), subset, X0), sk_Y1)),
0.00/0.25	    inference('sup-', [status(thm)], ['1', '28'])).
0.00/0.25	tff('30', plain,
0.00/0.25	    ![X0]:
0.00/0.25	      (app_encode_app($i, $o, 
0.00/0.25	         app_encode_app($i, app_encode_fun($i, $o), subset, X0), sk_Y1)
0.00/0.25	       | app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.25	             sk_Xx(sk_Y1, X0, sk_A2)), sk_A2)
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
0.00/0.25	             app_encode_app($i, $i, powerset, sk_A2))),
0.00/0.25	    inference('simplify', [status(thm)], ['29'])).
0.00/0.25	tff('31', plain,
0.00/0.25	    ![X0]:
0.00/0.25	      (~ app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.25	             sk_Xx(sk_Y1, X0, sk_A2)), sk_X1)
0.00/0.25	       | ~ app_encode_app($i, $o, 
0.00/0.25	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
0.00/0.25	             app_encode_app($i, $i, powerset, sk_A2))
0.00/0.25	       | app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), subset, X0), sk_Y1)),
0.00/0.25	    inference('clc', [status(thm)], ['25', '30'])).
0.00/0.25	tff('32', plain,
0.00/0.25	    (~ $true
0.00/0.25	     | app_encode_app($i, $o, 
0.00/0.25	         app_encode_app($i, app_encode_fun($i, $o), subset, sk_X1), sk_Y1)
0.00/0.25	     | ~ app_encode_app($i, $o, 
0.00/0.25	           app_encode_app($i, app_encode_fun($i, $o), in, sk_X1), 
0.00/0.25	           app_encode_app($i, $i, powerset, sk_A2))),
0.00/0.25	    inference('sup-', [status(thm)], ['17', '31'])).
0.00/0.25	tff('33', plain,
0.00/0.25	    (~ $true
0.00/0.25	     | app_encode_app($i, $o, 
0.00/0.25	         app_encode_app($i, app_encode_fun($i, $o), subset, sk_X1), sk_Y1)
0.00/0.25	     | ~ $true),
0.00/0.25	    inference('demod', [status(thm)], ['32', '0'])).
0.00/0.25	tff('34', plain,
0.00/0.25	    app_encode_app($i, $o, 
0.00/0.25	      app_encode_app($i, app_encode_fun($i, $o), subset, sk_X1), sk_Y1),
0.00/0.25	    inference('simplify', [status(thm)], ['33'])).
0.00/0.25	tff('35', plain, ~ $true, inference('sup-', [status(thm)], ['34', '16'])).
0.00/0.25	tff('36', plain, $false, inference('simplify', [status(thm)], ['35'])).
0.00/0.25	
0.00/0.25	% SZS output end Refutation
0.00/0.25	EOF
