0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : app
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : rpo6
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 $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n067.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 17:17:39 CST 2018
0.00/0.23	% done 54 iterations in 0.021s
0.00/0.23	% SZS status Theorem for 'stdin'
0.00/0.23	% SZS output start Refutation
0.00/0.23	tff(zf_stmt_6, axiom,
0.00/0.23	  (subsetI2 <=>
0.00/0.23	   (![A,B]:
0.00/0.23	      ((![Xx]:
0.00/0.23	          (app_encode_app($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,$o),in,Xx),B))) =>
0.00/0.23	       app_encode_app($i,$o,
0.00/0.23	                      app_encode_app($i,app_encode_fun($i,$o),subset,A),B))))).
0.00/0.23	tff('0', plain,
0.00/0.23	    ![X0, X1]:
0.00/0.23	      (app_encode_app($i, $o, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X0, X1)), X1)
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), subset, X1), X0)
0.00/0.23	       | ~ subsetI2),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_6])).
0.00/0.23	tff(zf_stmt_16, conjecture,
0.00/0.23	  (subsetI2 =>
0.00/0.23	   (subsetE =>
0.00/0.23	    (subsetemptysetimpeq =>
0.00/0.23	     (setminusEL =>
0.00/0.23	      (setminusER =>
0.00/0.23	       (![A,B]:
0.00/0.23	          (app_encode_app($i,$o,
0.00/0.23	                          app_encode_app($i,app_encode_fun($i,$o),subset,A),B) =>
0.00/0.23	           (app_encode_app($i,$i,
0.00/0.23	                           app_encode_app($i,app_encode_fun($i,$i),setminus,A),
0.00/0.23	                           B) =
0.00/0.23	            emptyset))))))))).
0.00/0.23	tff(zf_stmt_0, negated_conjecture,
0.00/0.23	  (~
0.00/0.23	    (subsetI2 =>
0.00/0.23	     (subsetE =>
0.00/0.23	      (subsetemptysetimpeq =>
0.00/0.23	       (setminusEL =>
0.00/0.23	        (setminusER =>
0.00/0.23	         (![A,B]:
0.00/0.23	            (app_encode_app($i,$o,
0.00/0.23	                            app_encode_app($i,app_encode_fun($i,$o),subset,A),
0.00/0.23	                            B) =>
0.00/0.23	             (app_encode_app($i,$i,
0.00/0.23	                             app_encode_app($i,app_encode_fun($i,$i),
0.00/0.23	                                            setminus,A),
0.00/0.23	                             B) =
0.00/0.23	              emptyset)))))))))).
0.00/0.23	tff('1', plain, subsetI2, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('2', plain,
0.00/0.23	    ![X0, X1]:
0.00/0.23	      (app_encode_app($i, $o, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X0, X1)), X1)
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), subset, X1), X0)
0.00/0.23	       | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['0', '1'])).
0.00/0.23	tff('3', plain,
0.00/0.23	    ![X0, X1]:
0.00/0.23	      (app_encode_app($i, $o, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $o), subset, X1), X0)
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X0, X1)), X1)),
0.00/0.23	    inference('simplify', [status(thm)], ['2'])).
0.00/0.23	tff(zf_stmt_13, axiom,
0.00/0.23	  (setminusEL <=>
0.00/0.23	   (![A,B,Xx]:
0.00/0.23	      (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),
0.00/0.23	                      app_encode_app($i,$i,
0.00/0.23	                                     app_encode_app($i,app_encode_fun($i,$i),
0.00/0.23	                                                    setminus,A),
0.00/0.23	                                     B)) =>
0.00/0.23	       app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),A))))).
0.00/0.23	tff('4', plain,
0.00/0.23	    ![X7, X8, X9]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X7), 
0.00/0.23	           app_encode_app($i, $i, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $i), setminus, X8), X9))
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X7), X8)
0.00/0.23	       | ~ setminusEL),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_13])).
0.00/0.23	tff('5', plain, setminusEL, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('6', plain,
0.00/0.23	    ![X7, X8, X9]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X7), 
0.00/0.23	           app_encode_app($i, $i, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $i), setminus, X8), X9))
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X7), X8)
0.00/0.23	       | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['4', '5'])).
0.00/0.23	tff('7', plain,
0.00/0.23	    ![X7, X8, X9]:
0.00/0.23	      (app_encode_app($i, $o, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $o), in, X7), X8)
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, X7), 
0.00/0.23	             app_encode_app($i, $i, 
0.00/0.23	               app_encode_app($i, app_encode_fun($i, $i), setminus, X8), X9))),
0.00/0.23	    inference('simplify', [status(thm)], ['6'])).
0.00/0.23	tff('8', plain,
0.00/0.23	    ![X0, X1, X2]:
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, $o), subset, 
0.00/0.23	             app_encode_app($i, $i, 
0.00/0.23	               app_encode_app($i, app_encode_fun($i, $i), setminus, X1), X0)), 
0.00/0.23	           X2)
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.23	             sk_Xx(X2, 
0.00/0.23	               app_encode_app($i, $i, 
0.00/0.23	                 app_encode_app($i, app_encode_fun($i, $i), setminus, X1), 
0.00/0.23	                 X0))), X1)),
0.00/0.23	    inference('sup-', [status(thm)], ['3', '7'])).
0.00/0.23	tff('9', plain,
0.00/0.23	    ![X0, X1, X2]:
0.00/0.23	      (app_encode_app($i, $o, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.23	           sk_Xx(X2, 
0.00/0.23	             app_encode_app($i, $i, 
0.00/0.23	               app_encode_app($i, app_encode_fun($i, $i), setminus, X1), X0))), 
0.00/0.23	         X1)
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), subset, 
0.00/0.23	             app_encode_app($i, $i, 
0.00/0.23	               app_encode_app($i, app_encode_fun($i, $i), setminus, X1), X0)), 
0.00/0.23	           X2)),
0.00/0.23	    inference('simplify', [status(thm)], ['8'])).
0.00/0.23	tff('10', plain,
0.00/0.23	    app_encode_app($i, $o, 
0.00/0.23	      app_encode_app($i, app_encode_fun($i, $o), subset, sk_A5), sk_B4),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff(zf_stmt_8, axiom,
0.00/0.23	  (subsetE <=>
0.00/0.23	   (![A,B,Xx]:
0.00/0.23	      (app_encode_app($i,$o,
0.00/0.23	                      app_encode_app($i,app_encode_fun($i,$o),subset,A),B) =>
0.00/0.23	       (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),A) =>
0.00/0.23	        app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),B)))))).
0.00/0.23	tff('11', plain,
0.00/0.23	    ![X3, X4, X5]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X3), X4)
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X3), X5)
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), subset, X4), X5)
0.00/0.23	       | ~ subsetE),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_8])).
0.00/0.23	tff('12', plain, subsetE, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('13', plain,
0.00/0.23	    ![X3, X4, X5]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X3), X4)
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X3), X5)
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), subset, X4), X5)
0.00/0.23	       | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['11', '12'])).
0.00/0.23	tff('14', plain,
0.00/0.23	    ![X3, X4, X5]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), subset, X4), X5)
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X3), X5)
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, X3), X4)),
0.00/0.23	    inference('simplify', [status(thm)], ['13'])).
0.00/0.23	tff('15', 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, $o), in, X0), sk_A5)
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_B4)),
0.00/0.23	    inference('sup-', [status(thm)], ['10', '14'])).
0.00/0.23	tff('16', plain,
0.00/0.23	    ![X0]:
0.00/0.23	      (app_encode_app($i, $o, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_B4)
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_A5)),
0.00/0.23	    inference('simplify', [status(thm)], ['15'])).
0.00/0.23	tff('17', plain,
0.00/0.23	    ![X0, X1]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X0, X1)), X0)
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), subset, X1), X0)
0.00/0.23	       | ~ subsetI2),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_6])).
0.00/0.23	tff('18', plain,
0.00/0.23	    ![X0, X1]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X0, X1)), X0)
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), subset, X1), X0)
0.00/0.23	       | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['17', '1'])).
0.00/0.23	tff('19', plain,
0.00/0.23	    ![X0, X1]:
0.00/0.23	      (app_encode_app($i, $o, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $o), subset, X1), X0)
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X0, X1)), 
0.00/0.23	             X0)),
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	      (~ $true
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_B4, X0)), 
0.00/0.23	             sk_A5)
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), subset, X0), sk_B4)),
0.00/0.23	    inference('sup-', [status(thm)], ['16', '19'])).
0.00/0.23	tff('21', plain,
0.00/0.23	    ![X0]:
0.00/0.23	      (app_encode_app($i, $o, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $o), subset, X0), sk_B4)
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(sk_B4, X0)), 
0.00/0.23	             sk_A5)),
0.00/0.23	    inference('simplify', [status(thm)], ['20'])).
0.00/0.23	tff('22', 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, $o), subset, 
0.00/0.23	             app_encode_app($i, $i, 
0.00/0.23	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A5), 
0.00/0.23	               X0)), sk_B4)
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), subset, 
0.00/0.23	             app_encode_app($i, $i, 
0.00/0.23	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A5), 
0.00/0.23	               X0)), sk_B4)),
0.00/0.23	    inference('sup-', [status(thm)], ['9', '21'])).
0.00/0.23	tff('23', plain,
0.00/0.23	    ![X0]:
0.00/0.23	      app_encode_app($i, $o, 
0.00/0.23	        app_encode_app($i, app_encode_fun($i, $o), subset, 
0.00/0.23	          app_encode_app($i, $i, 
0.00/0.23	            app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A5), X0)), 
0.00/0.23	        sk_B4),
0.00/0.23	    inference('simplify', [status(thm)], ['22'])).
0.00/0.23	tff('24', plain,
0.00/0.23	    ![X0, X1]:
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, $o), in, X1), 
0.00/0.23	             app_encode_app($i, $i, 
0.00/0.23	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A5), 
0.00/0.23	               X0))
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X1), sk_B4)),
0.00/0.23	    inference('sup-', [status(thm)], ['23', '14'])).
0.00/0.23	tff('25', plain,
0.00/0.23	    ![X0, X1]:
0.00/0.23	      (app_encode_app($i, $o, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $o), in, X1), sk_B4)
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, X1), 
0.00/0.23	             app_encode_app($i, $i, 
0.00/0.23	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A5), 
0.00/0.23	               X0))),
0.00/0.23	    inference('simplify', [status(thm)], ['24'])).
0.00/0.23	tff('26', plain,
0.00/0.23	    ![X0, X1]:
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, $o), subset, 
0.00/0.23	             app_encode_app($i, $i, 
0.00/0.23	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A5), 
0.00/0.23	               X0)), X1)
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.23	             sk_Xx(X1, 
0.00/0.23	               app_encode_app($i, $i, 
0.00/0.23	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A5), 
0.00/0.23	                 X0))), sk_B4)),
0.00/0.23	    inference('sup-', [status(thm)], ['3', '25'])).
0.00/0.23	tff('27', plain,
0.00/0.23	    ![X0, X1]:
0.00/0.23	      (app_encode_app($i, $o, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.23	           sk_Xx(X1, 
0.00/0.23	             app_encode_app($i, $i, 
0.00/0.23	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A5), 
0.00/0.23	               X0))), sk_B4)
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), subset, 
0.00/0.23	             app_encode_app($i, $i, 
0.00/0.23	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A5), 
0.00/0.23	               X0)), X1)),
0.00/0.23	    inference('simplify', [status(thm)], ['26'])).
0.00/0.23	tff(zf_stmt_15, axiom,
0.00/0.23	  (setminusER <=>
0.00/0.23	   (![A,B,Xx]:
0.00/0.23	      (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),
0.00/0.23	                      app_encode_app($i,$i,
0.00/0.23	                                     app_encode_app($i,app_encode_fun($i,$i),
0.00/0.23	                                                    setminus,A),
0.00/0.23	                                     B)) =>
0.00/0.23	       (~
0.00/0.23	         app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),
0.00/0.23	                        B)))))).
0.00/0.23	tff('28', plain,
0.00/0.23	    ![X10, X11, X12]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X10), 
0.00/0.23	           app_encode_app($i, $i, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $i), setminus, X11), X12))
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, X10), X12)
0.00/0.23	       | ~ setminusER),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_15])).
0.00/0.23	tff('29', plain, setminusER, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('30', plain,
0.00/0.23	    ![X10, X11, X12]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X10), 
0.00/0.23	           app_encode_app($i, $i, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $i), setminus, X11), X12))
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, X10), X12)
0.00/0.23	       | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['28', '29'])).
0.00/0.23	tff('31', plain,
0.00/0.23	    ![X10, X11, X12]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X10), X12)
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, X10), 
0.00/0.23	             app_encode_app($i, $i, 
0.00/0.23	               app_encode_app($i, app_encode_fun($i, $i), setminus, X11), 
0.00/0.23	               X12))),
0.00/0.23	    inference('simplify', [status(thm)], ['30'])).
0.00/0.23	tff('32', plain,
0.00/0.23	    ![X0, X1, X2]:
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, $o), subset, 
0.00/0.23	             app_encode_app($i, $i, 
0.00/0.23	               app_encode_app($i, app_encode_fun($i, $i), setminus, X1), X0)), 
0.00/0.23	           X2)
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.23	               sk_Xx(X2, 
0.00/0.23	                 app_encode_app($i, $i, 
0.00/0.23	                   app_encode_app($i, app_encode_fun($i, $i), setminus, X1), 
0.00/0.23	                   X0))), X0)),
0.00/0.23	    inference('sup-', [status(thm)], ['3', '31'])).
0.00/0.23	tff('33', plain,
0.00/0.23	    ![X0, X1, X2]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.23	             sk_Xx(X2, 
0.00/0.23	               app_encode_app($i, $i, 
0.00/0.23	                 app_encode_app($i, app_encode_fun($i, $i), setminus, X1), 
0.00/0.23	                 X0))), X0)
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), subset, 
0.00/0.23	             app_encode_app($i, $i, 
0.00/0.23	               app_encode_app($i, app_encode_fun($i, $i), setminus, X1), X0)), 
0.00/0.23	           X2)),
0.00/0.23	    inference('simplify', [status(thm)], ['32'])).
0.00/0.23	tff('34', 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, $o), subset, 
0.00/0.23	             app_encode_app($i, $i, 
0.00/0.23	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A5), 
0.00/0.23	               sk_B4)), X0)
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), subset, 
0.00/0.23	             app_encode_app($i, $i, 
0.00/0.23	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A5), 
0.00/0.23	               sk_B4)), X0)),
0.00/0.23	    inference('sup-', [status(thm)], ['27', '33'])).
0.00/0.23	tff('35', plain,
0.00/0.23	    ![X0]:
0.00/0.23	      app_encode_app($i, $o, 
0.00/0.23	        app_encode_app($i, app_encode_fun($i, $o), subset, 
0.00/0.23	          app_encode_app($i, $i, 
0.00/0.23	            app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A5), 
0.00/0.23	            sk_B4)), X0),
0.00/0.23	    inference('simplify', [status(thm)], ['34'])).
0.00/0.23	tff(zf_stmt_10, axiom,
0.00/0.23	  (subsetemptysetimpeq <=>
0.00/0.23	   (![A]:
0.00/0.23	      (app_encode_app($i,$o,
0.00/0.23	                      app_encode_app($i,app_encode_fun($i,$o),subset,A),
0.00/0.23	                      emptyset) =>
0.00/0.23	       (A = emptyset))))).
0.00/0.23	tff('36', plain,
0.00/0.23	    ![X6]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), subset, X6), emptyset)
0.00/0.23	       | X6 = emptyset
0.00/0.23	       | ~ subsetemptysetimpeq),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_10])).
0.00/0.23	tff('37', plain, subsetemptysetimpeq,
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('38', plain,
0.00/0.23	    ![X6]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), subset, X6), emptyset)
0.00/0.23	       | X6 = emptyset
0.00/0.23	       | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['36', '37'])).
0.00/0.23	tff('39', plain,
0.00/0.23	    ![X6]:
0.00/0.23	      (X6 = emptyset
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), subset, X6), 
0.00/0.23	             emptyset)),
0.00/0.23	    inference('simplify', [status(thm)], ['38'])).
0.00/0.23	tff('40', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | app_encode_app($i, $i, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A5), sk_B4)
0.00/0.23	        = emptyset),
0.00/0.23	    inference('sup-', [status(thm)], ['35', '39'])).
0.00/0.23	tff('41', plain,
0.00/0.23	    app_encode_app($i, $i, 
0.00/0.23	      app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A5), sk_B4)
0.00/0.23	     = emptyset,
0.00/0.23	    inference('simplify', [status(thm)], ['40'])).
0.00/0.23	tff('42', plain,
0.00/0.23	    app_encode_app($i, $i, 
0.00/0.23	      app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A5), sk_B4)
0.00/0.23	     != emptyset,
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('43', plain, $false,
0.00/0.23	    inference('simplify_reflect-', [status(thm)], ['41', '42'])).
0.00/0.23	
0.00/0.23	% SZS output end Refutation
0.00/0.23	EOF
