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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n073.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:26:23 CST 2018
0.00/0.23	% done 38 iterations in 0.030s
0.00/0.23	% SZS status Theorem for 'stdin'
0.00/0.23	% SZS output start Refutation
0.00/0.24	tff(zf_stmt_6, conjecture,
0.00/0.24	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o)]:
0.00/0.24	     ((A0 != A1) <=>
0.00/0.24	      (?[A2:A]:
0.00/0.24	         (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.24	                         app_encode_app(A,
0.00/0.24	                                        app_encode_fun(app_encode_fun(A,$o),
0.00/0.24	                                                       $o),
0.00/0.24	                                        'const/sets/IN'(A),A2),
0.00/0.24	                         A1) <=>
0.00/0.24	          (~
0.00/0.24	            app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.24	                           app_encode_app(A,
0.00/0.24	                                          app_encode_fun(app_encode_fun(A,$o),
0.00/0.24	                                                         $o),
0.00/0.24	                                          'const/sets/IN'(A),A2),
0.00/0.24	                           A0))))))).
0.00/0.24	tff(zf_stmt_0, negated_conjecture,
0.00/0.24	  (~
0.00/0.24	    (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o)]:
0.00/0.24	       ((A0 != A1) <=>
0.00/0.24	        (?[A2:A]:
0.00/0.24	           (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.24	                           app_encode_app(A,
0.00/0.24	                                          app_encode_fun(app_encode_fun(A,$o),
0.00/0.24	                                                         $o),
0.00/0.24	                                          'const/sets/IN'(A),A2),
0.00/0.24	                           A1) <=>
0.00/0.24	            (~
0.00/0.24	              app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.24	                             app_encode_app(A,
0.00/0.24	                                            app_encode_fun(app_encode_fun(
0.00/0.24	                                                           A,$o),$o),
0.00/0.24	                                            'const/sets/IN'(A),A2),
0.00/0.24	                             A0)))))))).
0.00/0.24	tff('0', plain,
0.00/0.24	    (app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	       app_encode_app(sk_A, app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.24	         'const/sets/IN'(sk_A), sk_A21), sk_A0)
0.00/0.24	     | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	         app_encode_app(sk_A, app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.24	           'const/sets/IN'(sk_A), sk_A21), sk_A1)
0.00/0.24	     | sk_A0 != sk_A1),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff(zf_stmt_4, axiom,
0.00/0.24	  (![A:$tType,P:app_encode_fun(A,$o),A0:A]:
0.00/0.24	     (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.24	                     app_encode_app(A,
0.00/0.24	                                    app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.24	                                    'const/sets/IN'(A),A0),
0.00/0.24	                     P) <=>
0.00/0.24	      app_encode_app(A,$o,P,A0)))).
0.00/0.24	tff('1', plain,
0.00/0.24	    ![X4 : $tType, X5 : app_encode_fun(X4, $o), X6 : X4]:
0.00/0.24	      (app_encode_app(X4, $o, X5, X6)
0.00/0.24	       | ~ app_encode_app(app_encode_fun(X4, $o), $o, 
0.00/0.24	             app_encode_app(X4, app_encode_fun(app_encode_fun(X4, $o), $o), 
0.00/0.24	               'const/sets/IN'(X4), X6), X5)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_4])).
0.00/0.24	tff('2', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | sk_A0 != sk_A1
0.00/0.24	     | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	         app_encode_app(sk_A, app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.24	           'const/sets/IN'(sk_A), sk_A21), sk_A0)
0.00/0.24	     | app_encode_app(sk_A, $o, sk_A1, sk_A21)),
0.00/0.24	    inference('sup-', [status(thm)], ['0', '1'])).
0.00/0.24	tff('3', plain,
0.00/0.24	    (app_encode_app(sk_A, $o, sk_A1, sk_A21)
0.00/0.24	     | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	         app_encode_app(sk_A, app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.24	           'const/sets/IN'(sk_A), sk_A21), sk_A0)
0.00/0.24	     | sk_A0 != sk_A1),
0.00/0.24	    inference('simplify', [status(thm)], ['2'])).
0.00/0.24	tff('4', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | sk_A0 != sk_A1
0.00/0.24	     | app_encode_app(sk_A, $o, sk_A1, sk_A21)
0.00/0.24	     | app_encode_app(sk_A, $o, sk_A0, sk_A21)),
0.00/0.24	    inference('sup-', [status(thm)], ['3', '1'])).
0.00/0.24	tff('5', plain,
0.00/0.24	    (app_encode_app(sk_A, $o, sk_A0, sk_A21)
0.00/0.24	     | app_encode_app(sk_A, $o, sk_A1, sk_A21)
0.00/0.24	     | sk_A0 != sk_A1),
0.00/0.24	    inference('simplify', [status(thm)], ['4'])).
0.00/0.24	tff(zf_stmt_5, axiom,
0.00/0.24	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o)]:
0.00/0.24	     ((A0 = A1) <=>
0.00/0.24	      (![A2:A]:
0.00/0.24	         (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.24	                         app_encode_app(A,
0.00/0.24	                                        app_encode_fun(app_encode_fun(A,$o),
0.00/0.24	                                                       $o),
0.00/0.24	                                        'const/sets/IN'(A),A2),
0.00/0.24	                         A0) <=>
0.00/0.24	          app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.24	                         app_encode_app(A,
0.00/0.24	                                        app_encode_fun(app_encode_fun(A,$o),
0.00/0.24	                                                       $o),
0.00/0.24	                                        'const/sets/IN'(A),A2),
0.00/0.24	                         A1)))))).
0.00/0.24	tff('6', plain,
0.00/0.24	    ![X8 : $tType, X11 : app_encode_fun(X8, $o), X13 : app_encode_fun(X8, $o)]:
0.00/0.24	      (X11 = X13
0.00/0.24	       | app_encode_app(app_encode_fun(X8, $o), $o, 
0.00/0.24	           app_encode_app(X8, app_encode_fun(app_encode_fun(X8, $o), $o), 
0.00/0.24	             'const/sets/IN'(X8), sk_A2(X8, X13, X11)), X13)
0.00/0.24	       | app_encode_app(app_encode_fun(X8, $o), $o, 
0.00/0.24	           app_encode_app(X8, app_encode_fun(app_encode_fun(X8, $o), $o), 
0.00/0.24	             'const/sets/IN'(X8), sk_A2(X8, X13, X11)), X11)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.24	tff('7', plain,
0.00/0.24	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.24	      (~ $true
0.00/0.24	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.24	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.24	             'const/sets/IN'(X0), sk_A2(X0, X1, X2)), X2)
0.00/0.24	       | X2 = X1
0.00/0.24	       | app_encode_app(X0, $o, X1, sk_A2(X0, X1, X2))),
0.00/0.24	    inference('sup-', [status(thm)], ['6', '1'])).
0.00/0.24	tff('8', plain,
0.00/0.24	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.24	      (app_encode_app(X0, $o, X1, sk_A2(X0, X1, X2))
0.00/0.24	       | X2 = X1
0.00/0.24	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.24	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.24	             'const/sets/IN'(X0), sk_A2(X0, X1, X2)), X2)),
0.00/0.24	    inference('simplify', [status(thm)], ['7'])).
0.00/0.24	tff('9', plain,
0.00/0.24	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.24	      (~ $true
0.00/0.24	       | X1 = X2
0.00/0.24	       | app_encode_app(X0, $o, X2, sk_A2(X0, X2, X1))
0.00/0.24	       | app_encode_app(X0, $o, X1, sk_A2(X0, X2, X1))),
0.00/0.24	    inference('sup-', [status(thm)], ['8', '1'])).
0.00/0.24	tff('10', plain,
0.00/0.24	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.24	      (app_encode_app(X0, $o, X1, sk_A2(X0, X2, X1))
0.00/0.24	       | app_encode_app(X0, $o, X2, sk_A2(X0, X2, X1))
0.00/0.24	       | X1 = X2),
0.00/0.24	    inference('simplify', [status(thm)], ['9'])).
0.00/0.24	tff('11', plain,
0.00/0.24	    ![X4 : $tType, X5 : app_encode_fun(X4, $o), X7 : X4]:
0.00/0.24	      (app_encode_app(app_encode_fun(X4, $o), $o, 
0.00/0.24	         app_encode_app(X4, app_encode_fun(app_encode_fun(X4, $o), $o), 
0.00/0.24	           'const/sets/IN'(X4), X7), X5)
0.00/0.24	       | ~ app_encode_app(X4, $o, X5, X7)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_4])).
0.00/0.24	tff('12', plain,
0.00/0.24	    ![X14 : sk_A]:
0.00/0.24	      (~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	           app_encode_app(sk_A, 
0.00/0.24	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.24	             'const/sets/IN'(sk_A), X14), sk_A1)
0.00/0.24	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	           app_encode_app(sk_A, 
0.00/0.24	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.24	             'const/sets/IN'(sk_A), X14), sk_A0)
0.00/0.24	       | sk_A0 = sk_A1),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('13', plain,
0.00/0.24	    ![X0 : sk_A]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ app_encode_app(sk_A, $o, sk_A1, X0)
0.00/0.24	       | sk_A0 = sk_A1
0.00/0.24	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	           app_encode_app(sk_A, 
0.00/0.24	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.24	             'const/sets/IN'(sk_A), X0), sk_A0)),
0.00/0.24	    inference('sup-', [status(thm)], ['11', '12'])).
0.00/0.24	tff('14', plain,
0.00/0.24	    ![X0 : sk_A]:
0.00/0.24	      (app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	         app_encode_app(sk_A, app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.24	           'const/sets/IN'(sk_A), X0), sk_A0)
0.00/0.24	       | sk_A0 = sk_A1
0.00/0.24	       | ~ app_encode_app(sk_A, $o, sk_A1, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['13'])).
0.00/0.24	tff('15', plain,
0.00/0.24	    ![X15 : sk_A]:
0.00/0.24	      (app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	         app_encode_app(sk_A, app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.24	           'const/sets/IN'(sk_A), X15), sk_A1)
0.00/0.24	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	             app_encode_app(sk_A, 
0.00/0.24	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.24	               'const/sets/IN'(sk_A), X15), sk_A0)
0.00/0.24	       | sk_A0 = sk_A1),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('16', plain,
0.00/0.24	    ![X8 : $tType, X11 : app_encode_fun(X8, $o), X13 : app_encode_fun(X8, $o)]:
0.00/0.24	      (X11 = X13
0.00/0.24	       | ~ app_encode_app(app_encode_fun(X8, $o), $o, 
0.00/0.24	             app_encode_app(X8, app_encode_fun(app_encode_fun(X8, $o), $o), 
0.00/0.24	               'const/sets/IN'(X8), sk_A2(X8, X13, X11)), X13)
0.00/0.24	       | ~ app_encode_app(app_encode_fun(X8, $o), $o, 
0.00/0.24	             app_encode_app(X8, app_encode_fun(app_encode_fun(X8, $o), $o), 
0.00/0.24	               'const/sets/IN'(X8), sk_A2(X8, X13, X11)), X11)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.24	tff('17', plain,
0.00/0.24	    ![X0 : app_encode_fun(sk_A, $o)]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ app_encode_app(sk_A, $o, sk_A1, sk_A2(sk_A, sk_A0, X0))
0.00/0.24	       | sk_A0 = sk_A1
0.00/0.24	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	             app_encode_app(sk_A, 
0.00/0.24	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.24	               'const/sets/IN'(sk_A), sk_A2(sk_A, sk_A0, X0)), X0)
0.00/0.24	       | X0 = sk_A0),
0.00/0.24	    inference('sup-', [status(thm)], ['14', '16'])).
0.00/0.24	tff('18', plain,
0.00/0.24	    ![X0 : app_encode_fun(sk_A, $o)]:
0.00/0.24	      (X0 = sk_A0
0.00/0.24	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	             app_encode_app(sk_A, 
0.00/0.24	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.24	               'const/sets/IN'(sk_A), sk_A2(sk_A, sk_A0, X0)), X0)
0.00/0.24	       | sk_A0 = sk_A1
0.00/0.24	       | ~ app_encode_app(sk_A, $o, sk_A1, sk_A2(sk_A, sk_A0, X0))),
0.00/0.24	    inference('simplify', [status(thm)], ['17'])).
0.00/0.24	tff('19', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | sk_A0 = sk_A1
0.00/0.24	     | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	           app_encode_app(sk_A, 
0.00/0.24	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.24	             'const/sets/IN'(sk_A), sk_A2(sk_A, sk_A0, sk_A1)), sk_A0)
0.00/0.24	     | ~ app_encode_app(sk_A, $o, sk_A1, sk_A2(sk_A, sk_A0, sk_A1))
0.00/0.24	     | sk_A0 = sk_A1
0.00/0.24	     | sk_A1 = sk_A0),
0.00/0.24	    inference('sup-', [status(thm)], ['15', '18'])).
0.00/0.24	tff('20', plain,
0.00/0.24	    (~ app_encode_app(sk_A, $o, sk_A1, sk_A2(sk_A, sk_A0, sk_A1))
0.00/0.24	     | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	           app_encode_app(sk_A, 
0.00/0.24	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.24	             'const/sets/IN'(sk_A), sk_A2(sk_A, sk_A0, sk_A1)), sk_A0)
0.00/0.24	     | sk_A0 = sk_A1),
0.00/0.24	    inference('simplify', [status(thm)], ['19'])).
0.00/0.24	tff('21', plain,
0.00/0.24	    ![X0 : sk_A]:
0.00/0.24	      (~ $true
0.00/0.24	       | sk_A0 = sk_A1
0.00/0.24	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	             app_encode_app(sk_A, 
0.00/0.24	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.24	               'const/sets/IN'(sk_A), X0), sk_A0)
0.00/0.24	       | app_encode_app(sk_A, $o, sk_A1, X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['15', '1'])).
0.00/0.24	tff('22', plain,
0.00/0.24	    ![X0 : sk_A]:
0.00/0.24	      (app_encode_app(sk_A, $o, sk_A1, X0)
0.00/0.24	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	             app_encode_app(sk_A, 
0.00/0.24	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.24	               'const/sets/IN'(sk_A), X0), sk_A0)
0.00/0.24	       | sk_A0 = sk_A1),
0.00/0.24	    inference('simplify', [status(thm)], ['21'])).
0.00/0.24	tff('23', plain,
0.00/0.24	    (sk_A0 = sk_A1
0.00/0.24	     | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	           app_encode_app(sk_A, 
0.00/0.24	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.24	             'const/sets/IN'(sk_A), sk_A2(sk_A, sk_A0, sk_A1)), sk_A0)),
0.00/0.24	    inference('clc', [status(thm)], ['20', '22'])).
0.00/0.24	tff('24', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ app_encode_app(sk_A, $o, sk_A1, sk_A2(sk_A, sk_A0, sk_A1))
0.00/0.24	     | sk_A0 = sk_A1
0.00/0.24	     | sk_A0 = sk_A1),
0.00/0.24	    inference('sup-', [status(thm)], ['14', '23'])).
0.00/0.24	tff('25', plain,
0.00/0.24	    (sk_A0 = sk_A1
0.00/0.24	     | ~ app_encode_app(sk_A, $o, sk_A1, sk_A2(sk_A, sk_A0, sk_A1))),
0.00/0.24	    inference('simplify', [status(thm)], ['24'])).
0.00/0.24	tff('26', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | sk_A1 = sk_A0
0.00/0.24	     | app_encode_app(sk_A, $o, sk_A0, sk_A2(sk_A, sk_A0, sk_A1))
0.00/0.24	     | sk_A0 = sk_A1),
0.00/0.24	    inference('sup-', [status(thm)], ['10', '25'])).
0.00/0.24	tff('27', plain,
0.00/0.24	    (app_encode_app(sk_A, $o, sk_A0, sk_A2(sk_A, sk_A0, sk_A1))
0.00/0.24	     | sk_A1 = sk_A0),
0.00/0.24	    inference('simplify', [status(thm)], ['26'])).
0.00/0.24	tff('28', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ app_encode_app(sk_A, $o, sk_A0, sk_A2(sk_A, sk_A0, sk_A1))
0.00/0.24	     | sk_A0 = sk_A1),
0.00/0.24	    inference('sup-', [status(thm)], ['11', '23'])).
0.00/0.24	tff('29', plain,
0.00/0.24	    (sk_A0 = sk_A1
0.00/0.24	     | ~ app_encode_app(sk_A, $o, sk_A0, sk_A2(sk_A, sk_A0, sk_A1))),
0.00/0.24	    inference('simplify', [status(thm)], ['28'])).
0.00/0.24	tff('30', plain, sk_A1 = sk_A0, inference('clc', [status(thm)], ['27', '29'])).
0.00/0.24	tff('31', plain,
0.00/0.24	    (app_encode_app(sk_A, $o, sk_A0, sk_A21)
0.00/0.24	     | app_encode_app(sk_A, $o, sk_A0, sk_A21)
0.00/0.24	     | sk_A0 != sk_A0),
0.00/0.24	    inference('demod', [status(thm)], ['5', '30', '30'])).
0.00/0.24	tff('32', plain, app_encode_app(sk_A, $o, sk_A0, sk_A21),
0.00/0.24	    inference('simplify', [status(thm)], ['31'])).
0.00/0.24	tff('33', plain,
0.00/0.24	    (~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	         app_encode_app(sk_A, app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.24	           'const/sets/IN'(sk_A), sk_A21), sk_A1)
0.00/0.24	     | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	           app_encode_app(sk_A, 
0.00/0.24	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.24	             'const/sets/IN'(sk_A), sk_A21), sk_A0)
0.00/0.24	     | sk_A0 != sk_A1),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('34', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ app_encode_app(sk_A, $o, sk_A1, sk_A21)
0.00/0.24	     | sk_A0 != sk_A1
0.00/0.24	     | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	           app_encode_app(sk_A, 
0.00/0.24	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.24	             'const/sets/IN'(sk_A), sk_A21), sk_A0)),
0.00/0.24	    inference('sup-', [status(thm)], ['11', '33'])).
0.00/0.24	tff('35', plain,
0.00/0.24	    (~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	         app_encode_app(sk_A, app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.24	           'const/sets/IN'(sk_A), sk_A21), sk_A0)
0.00/0.24	     | sk_A0 != sk_A1
0.00/0.24	     | ~ app_encode_app(sk_A, $o, sk_A1, sk_A21)),
0.00/0.24	    inference('simplify', [status(thm)], ['34'])).
0.00/0.24	tff('36', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ app_encode_app(sk_A, $o, sk_A0, sk_A21)
0.00/0.24	     | ~ app_encode_app(sk_A, $o, sk_A1, sk_A21)
0.00/0.24	     | sk_A0 != sk_A1),
0.00/0.24	    inference('sup-', [status(thm)], ['11', '35'])).
0.00/0.24	tff('37', plain,
0.00/0.24	    (sk_A0 != sk_A1
0.00/0.24	     | ~ app_encode_app(sk_A, $o, sk_A1, sk_A21)
0.00/0.24	     | ~ app_encode_app(sk_A, $o, sk_A0, sk_A21)),
0.00/0.24	    inference('simplify', [status(thm)], ['36'])).
0.00/0.24	tff('38', plain,
0.00/0.24	    (sk_A0 != sk_A0
0.00/0.24	     | ~ app_encode_app(sk_A, $o, sk_A0, sk_A21)
0.00/0.24	     | ~ app_encode_app(sk_A, $o, sk_A0, sk_A21)),
0.00/0.24	    inference('demod', [status(thm)], ['37', '30', '30'])).
0.00/0.24	tff('39', plain, ~ app_encode_app(sk_A, $o, sk_A0, sk_A21),
0.00/0.24	    inference('simplify', [status(thm)], ['38'])).
0.00/0.24	tff('40', plain, ~ $true, inference('sup-', [status(thm)], ['32', '39'])).
0.00/0.24	tff('41', plain, $false, inference('simplify', [status(thm)], ['40'])).
0.00/0.24	
0.00/0.24	% SZS output end Refutation
0.00/0.24	EOF
