0.00/0.01	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : purification_ext
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-avatar \
0.00/0.01	  --ho \
0.00/0.01	  --force-ho \
0.00/0.01	  --no-ho-elim-pred-var \
0.00/0.01	  --ho-general-ext-pos \
0.00/0.01	  --no-ho-unif \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2  \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --ho-purify ext \
0.00/0.01	  --ho-ext-axiom \
0.00/0.01	  --restrict-hidden-sup-at-vars \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n151.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:33:08 CST 2018
0.00/0.45	% done 62 iterations in 0.243s
0.00/0.45	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.45	% SZS output start Refutation
0.00/0.45	tff('thm/sets/FORALL_IN_IMAGE_', conjecture,
0.00/0.45	  (![A:$tType,A0:$tType,P:(A > $o),A1:(A0 > A),A2:(A0 > $o)]:
0.00/0.45	     ((![A3:A]:
0.00/0.45	         ('const/sets/IN'(A,A3,'const/sets/IMAGE'(A0,A,A1,A2)) => P(A3))) <=>
0.00/0.45	      (![A3:A0]: ('const/sets/IN'(A0,A3,A2) => P(A1(A3))))))).
0.00/0.45	tff(zf_stmt_0, negated_conjecture,
0.00/0.45	  (~
0.00/0.45	    (![A:$tType,A0:$tType,P:(A > $o),A1:(A0 > A),A2:(A0 > $o)]:
0.00/0.45	       ((![A3:A]:
0.00/0.45	           ('const/sets/IN'(A,A3,'const/sets/IMAGE'(A0,A,A1,A2)) => P(A3))) <=>
0.00/0.45	        (![A3:A0]: ('const/sets/IN'(A0,A3,A2) => P(A1(A3)))))))).
0.00/0.45	tff('0', plain,
0.00/0.45	    ('const/sets/IN'(sk_A0, sk_A31, sk_A2)
0.00/0.45	     | 'const/sets/IN'(sk_A, sk_A32, 
0.00/0.45	         'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.45	tff('thm/sets/IN_IMAGE_', axiom,
0.00/0.45	  (![B:$tType,A:$tType,A0:B,A1:(A > $o),A2:(A > B)]:
0.00/0.45	     ('const/sets/IN'(B,A0,'const/sets/IMAGE'(A,B,A2,A1)) <=>
0.00/0.45	      (?[A3:A]: ('const/sets/IN'(A,A3,A1) & (A0 = A2(A3))))))).
0.00/0.45	tff('1', plain,
0.00/0.45	    ![X0 : $tType, X1 : $tType, X2 : X0 > X1, X3 : X0 > $o, X4 : X1]:
0.00/0.45	      (X4 = X2(sk_A3(X0, X1, X2, X3, X4))
0.00/0.45	       | ~ 'const/sets/IN'(X1, X4, 'const/sets/IMAGE'(X0, X1, X2, X3))),
0.00/0.45	    inference('cnf', [status(esa)], [thm/sets/IN_IMAGE_])).
0.00/0.45	tff('2', plain,
0.00/0.45	    ![X0 : $tType, X1 : $tType, X2 : X0 > X1, X3 : X0 > $o, X4 : X1, 
0.00/0.45	      X5 : X0 > X1]:
0.00/0.45	      (X5 != X2
0.00/0.45	       | X4 = X2(sk_A3(X0, X1, X5, X3, X4))
0.00/0.45	       | ~ 'const/sets/IN'(X1, X4, 'const/sets/IMAGE'(X0, X1, X5, X3))),
0.00/0.45	    inference('ho.purify_applied_variable', [status(thm)], ['1'])).
0.00/0.45	tff('3', plain,
0.00/0.45	    ![X0 : sk_A0 > sk_A]:
0.00/0.45	      (~ $true
0.00/0.45	       | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)
0.00/0.45	       | sk_A32 = X0(sk_A3(sk_A0, sk_A, sk_A1, sk_A2, sk_A32))
0.00/0.45	       | sk_A1 != X0),
0.00/0.45	    inference('sup-', [status(thm)], ['0', '2'])).
0.00/0.45	tff('4', plain,
0.00/0.45	    ![X0 : sk_A0 > sk_A]:
0.00/0.45	      (sk_A1 != X0
0.00/0.45	       | sk_A32 = X0(sk_A3(sk_A0, sk_A, sk_A1, sk_A2, sk_A32))
0.00/0.45	       | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)),
0.00/0.45	    inference('simplify', [status(thm)], ['3'])).
0.00/0.45	tff('5', plain,
0.00/0.45	    ![X0 : sk_A0 > sk_A, X1 : sk_A0 > sk_A]:
0.00/0.45	      (X1 != X0
0.00/0.45	       | sk_A1 != X0
0.00/0.45	       | sk_A32 = X1(sk_A3(sk_A0, sk_A, sk_A1, sk_A2, sk_A32))
0.00/0.45	       | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)),
0.00/0.45	    inference('ho.purify_applied_variable', [status(thm)], ['4'])).
0.00/0.45	tff('6', plain,
0.00/0.45	    ![X0 : $tType, X1 : $tType, X2 : X0 > X1, X3 : X0 > $o, X4 : X1]:
0.00/0.45	      ('const/sets/IN'(X0, sk_A3(X0, X1, X2, X3, X4), X3)
0.00/0.45	       | ~ 'const/sets/IN'(X1, X4, 'const/sets/IMAGE'(X0, X1, X2, X3))),
0.00/0.45	    inference('cnf', [status(esa)], [thm/sets/IN_IMAGE_])).
0.00/0.45	tff('7', plain,
0.00/0.45	    ![X7 : sk_A0, X8 : sk_A]:
0.00/0.45	      (~ 'const/sets/IN'(sk_A0, X7, sk_A2)
0.00/0.45	       | sk_P(sk_A1(X7))
0.00/0.45	       | ~ 'const/sets/IN'(sk_A, X8, 
0.00/0.45	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
0.00/0.45	       | sk_P(X8)),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.45	tff('8', plain,
0.00/0.45	    ![X0 : $tType, X1 : X0, X2 : sk_A0 > X0, X3 : sk_A]:
0.00/0.45	      (~ $true
0.00/0.45	       | ~ 'const/sets/IN'(X0, X1, 'const/sets/IMAGE'(sk_A0, X0, X2, sk_A2))
0.00/0.45	       | sk_P(X3)
0.00/0.45	       | ~ 'const/sets/IN'(sk_A, X3, 
0.00/0.45	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
0.00/0.45	       | sk_P(sk_A1(sk_A3(sk_A0, X0, X2, sk_A2, X1)))),
0.00/0.45	    inference('sup-', [status(thm)], ['6', '7'])).
0.00/0.45	tff('9', plain,
0.00/0.45	    ![X0 : $tType, X1 : X0, X2 : sk_A0 > X0, X3 : sk_A]:
0.00/0.45	      (sk_P(sk_A1(sk_A3(sk_A0, X0, X2, sk_A2, X1)))
0.00/0.45	       | ~ 'const/sets/IN'(sk_A, X3, 
0.00/0.45	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
0.00/0.45	       | sk_P(X3)
0.00/0.45	       | ~ 'const/sets/IN'(X0, X1, 'const/sets/IMAGE'(sk_A0, X0, X2, sk_A2))),
0.00/0.45	    inference('simplify', [status(thm)], ['8'])).
0.00/0.45	tff('10', plain,
0.00/0.45	    ![X0 : $tType, X1 : sk_A0 > X0, X2 : X0]:
0.00/0.45	      (~ $true
0.00/0.45	       | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)
0.00/0.45	       | ~ 'const/sets/IN'(X0, X2, 'const/sets/IMAGE'(sk_A0, X0, X1, sk_A2))
0.00/0.45	       | sk_P(sk_A32)
0.00/0.45	       | sk_P(sk_A1(sk_A3(sk_A0, X0, X1, sk_A2, X2)))),
0.00/0.45	    inference('sup-', [status(thm)], ['0', '9'])).
0.00/0.45	tff('11', plain,
0.00/0.45	    ![X0 : $tType, X1 : sk_A0 > X0, X2 : X0]:
0.00/0.45	      (sk_P(sk_A1(sk_A3(sk_A0, X0, X1, sk_A2, X2)))
0.00/0.45	       | sk_P(sk_A32)
0.00/0.45	       | ~ 'const/sets/IN'(X0, X2, 'const/sets/IMAGE'(sk_A0, X0, X1, sk_A2))
0.00/0.45	       | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)),
0.00/0.45	    inference('simplify', [status(thm)], ['10'])).
0.00/0.45	tff('12', plain, ('const/sets/IN'(sk_A0, sk_A31, sk_A2) | ~ sk_P(sk_A32)),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.45	tff('13', plain,
0.00/0.45	    ![X0 : $tType, X1 : sk_A0 > X0, X2 : X0]:
0.00/0.45	      ('const/sets/IN'(sk_A0, sk_A31, sk_A2)
0.00/0.45	       | ~ 'const/sets/IN'(X0, X2, 'const/sets/IMAGE'(sk_A0, X0, X1, sk_A2))
0.00/0.45	       | sk_P(sk_A1(sk_A3(sk_A0, X0, X1, sk_A2, X2)))),
0.00/0.45	    inference('clc', [status(thm)], ['11', '12'])).
0.00/0.45	tff('14', plain,
0.00/0.45	    ![X0 : sk_A0 > sk_A]:
0.00/0.45	      (sk_P(sk_A32)
0.00/0.45	       | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)
0.00/0.45	       | sk_A1 != X0
0.00/0.45	       | sk_A1 != X0
0.00/0.45	       | ~ 'const/sets/IN'(sk_A, sk_A32, 
0.00/0.45	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
0.00/0.45	       | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)),
0.00/0.45	    inference('sup+', [status(thm)], ['5', '13'])).
0.00/0.45	tff('15', plain,
0.00/0.45	    ![X0 : sk_A0 > sk_A]:
0.00/0.45	      (~ 'const/sets/IN'(sk_A, sk_A32, 
0.00/0.45	           'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
0.00/0.45	       | sk_A1 != X0
0.00/0.45	       | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)
0.00/0.45	       | sk_P(sk_A32)),
0.00/0.45	    inference('simplify', [status(thm)], ['14'])).
0.00/0.45	tff('16', plain,
0.00/0.45	    ![X0 : sk_A0 > sk_A]:
0.00/0.45	      (sk_P(sk_A32) | 'const/sets/IN'(sk_A0, sk_A31, sk_A2) | sk_A1 != X0),
0.00/0.45	    inference('clc', [status(thm)], ['15', '0'])).
0.00/0.45	tff('17', plain,
0.00/0.45	    ![X0 : $tType, X1 : $tType, X3 : X0 > $o, X4 : X1, X5 : X0 > X1, X6 : X0]:
0.00/0.45	      ('const/sets/IN'(X1, X4, 'const/sets/IMAGE'(X0, X1, X5, X3))
0.00/0.45	       | X4 != X5(X6)
0.00/0.45	       | ~ 'const/sets/IN'(X0, X6, X3)),
0.00/0.45	    inference('cnf', [status(esa)], [thm/sets/IN_IMAGE_])).
0.00/0.45	tff('18', plain,
0.00/0.45	    ![X0 : $tType, X1 : $tType, X3 : X0 > $o, X5 : X0 > X1, X6 : X0]:
0.00/0.45	      (~ 'const/sets/IN'(X0, X6, X3)
0.00/0.45	       | 'const/sets/IN'(X1, X5(X6), 'const/sets/IMAGE'(X0, X1, X5, X3))),
0.00/0.45	    inference('simplify', [status(thm)], ['17'])).
0.00/0.45	tff('19', plain,
0.00/0.45	    ![X0 : $tType, X1 : $tType, X3 : X0 > $o, X5 : X0 > X1, X6 : X0, 
0.00/0.45	      X7 : X0 > X1]:
0.00/0.45	      (X7 != X5
0.00/0.45	       | ~ 'const/sets/IN'(X0, X6, X3)
0.00/0.45	       | 'const/sets/IN'(X1, X5(X6), 'const/sets/IMAGE'(X0, X1, X7, X3))),
0.00/0.45	    inference('ho.purify_applied_variable', [status(thm)], ['18'])).
0.00/0.45	tff('20', plain,
0.00/0.45	    ![X0 : sk_A]:
0.00/0.45	      (~ $true
0.00/0.45	       | ~ sk_P(sk_A32)
0.00/0.45	       | sk_P(X0)
0.00/0.45	       | ~ 'const/sets/IN'(sk_A, X0, 
0.00/0.45	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
0.00/0.45	       | sk_P(sk_A1(sk_A31))),
0.00/0.45	    inference('sup-', [status(thm)], ['12', '7'])).
0.00/0.45	tff('21', plain,
0.00/0.45	    ![X0 : sk_A]:
0.00/0.45	      (sk_P(sk_A1(sk_A31))
0.00/0.45	       | ~ 'const/sets/IN'(sk_A, X0, 
0.00/0.45	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
0.00/0.45	       | sk_P(X0)
0.00/0.45	       | ~ sk_P(sk_A32)),
0.00/0.45	    inference('simplify', [status(thm)], ['20'])).
0.00/0.45	tff('22', plain, (~ sk_P(sk_A1(sk_A31)) | ~ sk_P(sk_A32)),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.45	tff('23', plain,
0.00/0.45	    ![X0 : sk_A]:
0.00/0.45	      (~ sk_P(sk_A32)
0.00/0.45	       | sk_P(X0)
0.00/0.45	       | ~ 'const/sets/IN'(sk_A, X0, 
0.00/0.45	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))),
0.00/0.45	    inference('clc', [status(thm)], ['21', '22'])).
0.00/0.45	tff('24', plain,
0.00/0.45	    ![X0 : sk_A0 > sk_A, X1 : sk_A0]:
0.00/0.45	      (~ $true
0.00/0.45	       | ~ 'const/sets/IN'(sk_A0, X1, sk_A2)
0.00/0.45	       | sk_A1 != X0
0.00/0.45	       | sk_P(X0(X1))
0.00/0.45	       | ~ sk_P(sk_A32)),
0.00/0.45	    inference('sup-', [status(thm)], ['19', '23'])).
0.00/0.45	tff('25', plain,
0.00/0.45	    ![X0 : sk_A0 > sk_A, X1 : sk_A0]:
0.00/0.45	      (~ sk_P(sk_A32)
0.00/0.45	       | sk_P(X0(X1))
0.00/0.45	       | sk_A1 != X0
0.00/0.45	       | ~ 'const/sets/IN'(sk_A0, X1, sk_A2)),
0.00/0.45	    inference('simplify', [status(thm)], ['24'])).
0.00/0.45	tff('26', plain,
0.00/0.45	    ![X0 : sk_A0 > sk_A, X1 : sk_A0, X2 : sk_A0 > sk_A]:
0.00/0.45	      (X2 != X0
0.00/0.45	       | ~ sk_P(sk_A32)
0.00/0.45	       | sk_P(X0(X1))
0.00/0.45	       | sk_A1 != X2
0.00/0.45	       | ~ 'const/sets/IN'(sk_A0, X1, sk_A2)),
0.00/0.45	    inference('ho.purify_applied_variable', [status(thm)], ['25'])).
0.00/0.45	tff('27', plain,
0.00/0.45	    ![X0 : sk_A0 > sk_A, X1 : sk_A0 > sk_A]:
0.00/0.45	      (~ $true
0.00/0.45	       | ~ sk_P(sk_A32)
0.00/0.45	       | sk_A1 != X0
0.00/0.45	       | sk_P(X1(sk_A31))
0.00/0.45	       | ~ sk_P(sk_A32)
0.00/0.45	       | X0 != X1),
0.00/0.45	    inference('sup-', [status(thm)], ['12', '26'])).
0.00/0.45	tff('28', plain,
0.00/0.45	    ![X0 : sk_A0 > sk_A, X1 : sk_A0 > sk_A]:
0.00/0.45	      (X0 != X1 | sk_P(X1(sk_A31)) | sk_A1 != X0 | ~ sk_P(sk_A32)),
0.00/0.45	    inference('simplify', [status(thm)], ['27'])).
0.00/0.45	tff('29', plain,
0.00/0.45	    ![X0 : sk_A0 > sk_A]:
0.00/0.45	      (~ $true | ~ sk_P(sk_A32) | sk_A1 != X0 | X0 != sk_A1 | ~ sk_P(sk_A32)),
0.00/0.45	    inference('sup-', [status(thm)], ['28', '22'])).
0.00/0.45	tff('30', plain, ![X0 : sk_A0 > sk_A]: (sk_A1 != X0 | ~ sk_P(sk_A32)),
0.00/0.45	    inference('simplify', [status(thm)], ['29'])).
0.00/0.45	tff('31', plain,
0.00/0.45	    ![X0 : sk_A0 > sk_A]:
0.00/0.45	      (sk_A1 != X0 | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)),
0.00/0.45	    inference('clc', [status(thm)], ['16', '30'])).
0.00/0.45	tff('32', plain, 'const/sets/IN'(sk_A0, sk_A31, sk_A2),
0.00/0.45	    inference('eq_res', [status(thm)], ['31'])).
0.00/0.45	tff('33', plain,
0.00/0.45	    ![X0 : sk_A]:
0.00/0.45	      (~ $true
0.00/0.45	       | sk_P(X0)
0.00/0.45	       | ~ 'const/sets/IN'(sk_A, X0, 
0.00/0.45	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
0.00/0.45	       | sk_P(sk_A1(sk_A31))),
0.00/0.45	    inference('sup-', [status(thm)], ['32', '7'])).
0.00/0.45	tff('34', plain,
0.00/0.45	    ![X0 : sk_A]:
0.00/0.45	      (sk_P(sk_A1(sk_A31))
0.00/0.45	       | ~ 'const/sets/IN'(sk_A, X0, 
0.00/0.45	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
0.00/0.45	       | sk_P(X0)),
0.00/0.45	    inference('simplify', [status(thm)], ['33'])).
0.00/0.45	tff('35', plain,
0.00/0.45	    ![X0 : sk_A0 > sk_A, X1 : sk_A0]:
0.00/0.45	      (~ $true
0.00/0.45	       | ~ 'const/sets/IN'(sk_A0, X1, sk_A2)
0.00/0.45	       | sk_A1 != X0
0.00/0.45	       | sk_P(X0(X1))
0.00/0.45	       | sk_P(sk_A1(sk_A31))),
0.00/0.45	    inference('sup-', [status(thm)], ['19', '34'])).
0.00/0.45	tff('36', plain,
0.00/0.45	    ![X0 : sk_A0 > sk_A, X1 : sk_A0]:
0.00/0.45	      (sk_P(sk_A1(sk_A31))
0.00/0.45	       | sk_P(X0(X1))
0.00/0.45	       | sk_A1 != X0
0.00/0.45	       | ~ 'const/sets/IN'(sk_A0, X1, sk_A2)),
0.00/0.45	    inference('simplify', [status(thm)], ['35'])).
0.00/0.45	tff('37', plain,
0.00/0.45	    ![X0 : sk_A0 > sk_A, X1 : sk_A0, X2 : sk_A0 > sk_A]:
0.00/0.45	      (X2 != X0
0.00/0.45	       | sk_P(sk_A1(sk_A31))
0.00/0.45	       | sk_P(X0(X1))
0.00/0.45	       | sk_A1 != X2
0.00/0.45	       | ~ 'const/sets/IN'(sk_A0, X1, sk_A2)),
0.00/0.45	    inference('ho.purify_applied_variable', [status(thm)], ['36'])).
0.00/0.45	tff('38', plain,
0.00/0.45	    (~ sk_P(sk_A1(sk_A31))
0.00/0.45	     | 'const/sets/IN'(sk_A, sk_A32, 
0.00/0.45	         'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.45	tff('39', plain,
0.00/0.45	    ![X0 : sk_A0 > sk_A]:
0.00/0.45	      (~ $true
0.00/0.45	       | ~ sk_P(sk_A1(sk_A31))
0.00/0.45	       | sk_A32 = X0(sk_A3(sk_A0, sk_A, sk_A1, sk_A2, sk_A32))
0.00/0.45	       | sk_A1 != X0),
0.00/0.45	    inference('sup-', [status(thm)], ['38', '2'])).
0.00/0.45	tff('40', plain,
0.00/0.45	    ![X0 : sk_A0 > sk_A]:
0.00/0.45	      (sk_A1 != X0
0.00/0.45	       | sk_A32 = X0(sk_A3(sk_A0, sk_A, sk_A1, sk_A2, sk_A32))
0.00/0.45	       | ~ sk_P(sk_A1(sk_A31))),
0.00/0.45	    inference('simplify', [status(thm)], ['39'])).
0.00/0.45	tff('41', plain,
0.00/0.45	    ![X0 : sk_A0 > sk_A, X1 : sk_A0 > sk_A]:
0.00/0.45	      (X1 != X0
0.00/0.45	       | sk_A1 != X0
0.00/0.45	       | sk_A32 = X1(sk_A3(sk_A0, sk_A, sk_A1, sk_A2, sk_A32))
0.00/0.45	       | ~ sk_P(sk_A1(sk_A31))),
0.00/0.45	    inference('ho.purify_applied_variable', [status(thm)], ['40'])).
0.00/0.45	tff('42', plain,
0.00/0.45	    ![X0 : $tType, X1 : sk_A0 > X0, X2 : X0]:
0.00/0.45	      (~ $true
0.00/0.45	       | ~ sk_P(sk_A1(sk_A31))
0.00/0.45	       | ~ 'const/sets/IN'(X0, X2, 'const/sets/IMAGE'(sk_A0, X0, X1, sk_A2))
0.00/0.45	       | sk_P(sk_A32)
0.00/0.45	       | sk_P(sk_A1(sk_A3(sk_A0, X0, X1, sk_A2, X2)))),
0.00/0.45	    inference('sup-', [status(thm)], ['38', '9'])).
0.00/0.45	tff('43', plain,
0.00/0.45	    ![X0 : $tType, X1 : sk_A0 > X0, X2 : X0]:
0.00/0.45	      (sk_P(sk_A1(sk_A3(sk_A0, X0, X1, sk_A2, X2)))
0.00/0.45	       | sk_P(sk_A32)
0.00/0.45	       | ~ 'const/sets/IN'(X0, X2, 'const/sets/IMAGE'(sk_A0, X0, X1, sk_A2))
0.00/0.45	       | ~ sk_P(sk_A1(sk_A31))),
0.00/0.45	    inference('simplify', [status(thm)], ['42'])).
0.00/0.45	tff('44', plain,
0.00/0.45	    ![X0 : $tType, X1 : sk_A0 > X0, X2 : X0]:
0.00/0.45	      (~ sk_P(sk_A1(sk_A31))
0.00/0.45	       | ~ 'const/sets/IN'(X0, X2, 'const/sets/IMAGE'(sk_A0, X0, X1, sk_A2))
0.00/0.45	       | sk_P(sk_A1(sk_A3(sk_A0, X0, X1, sk_A2, X2)))),
0.00/0.45	    inference('clc', [status(thm)], ['43', '22'])).
0.00/0.45	tff('45', plain,
0.00/0.45	    ![X0 : sk_A0 > sk_A]:
0.00/0.45	      (sk_P(sk_A32)
0.00/0.45	       | ~ sk_P(sk_A1(sk_A31))
0.00/0.45	       | sk_A1 != X0
0.00/0.45	       | sk_A1 != X0
0.00/0.45	       | ~ 'const/sets/IN'(sk_A, sk_A32, 
0.00/0.45	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
0.00/0.45	       | ~ sk_P(sk_A1(sk_A31))),
0.00/0.45	    inference('sup+', [status(thm)], ['41', '44'])).
0.00/0.45	tff('46', plain,
0.00/0.45	    ![X0 : sk_A0 > sk_A]:
0.00/0.45	      (~ 'const/sets/IN'(sk_A, sk_A32, 
0.00/0.45	           'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
0.00/0.45	       | sk_A1 != X0
0.00/0.45	       | ~ sk_P(sk_A1(sk_A31))
0.00/0.45	       | sk_P(sk_A32)),
0.00/0.45	    inference('simplify', [status(thm)], ['45'])).
0.00/0.45	tff('47', plain,
0.00/0.45	    ![X0 : sk_A0 > sk_A]:
0.00/0.45	      (sk_P(sk_A32) | ~ sk_P(sk_A1(sk_A31)) | sk_A1 != X0),
0.00/0.45	    inference('clc', [status(thm)], ['46', '38'])).
0.00/0.45	tff('48', plain, ![X0 : sk_A0 > sk_A]: (sk_A1 != X0 | ~ sk_P(sk_A1(sk_A31))),
0.00/0.45	    inference('clc', [status(thm)], ['47', '30'])).
0.00/0.45	tff('49', plain,
0.00/0.45	    ![X0 : sk_A0 > sk_A, X1 : sk_A0, X2 : sk_A0 > sk_A]:
0.00/0.45	      (~ 'const/sets/IN'(sk_A0, X1, sk_A2)
0.00/0.45	       | sk_A1 != X2
0.00/0.45	       | sk_P(X0(X1))
0.00/0.45	       | X2 != X0),
0.00/0.45	    inference('clc', [status(thm)], ['37', '48'])).
0.00/0.45	tff('50', plain,
0.00/0.45	    ![X0 : sk_A0 > sk_A, X1 : sk_A0 > sk_A]:
0.00/0.45	      (~ $true | X0 != X1 | sk_P(X1(sk_A31)) | sk_A1 != X0),
0.00/0.45	    inference('sup-', [status(thm)], ['32', '49'])).
0.00/0.45	tff('51', plain,
0.00/0.45	    ![X0 : sk_A0 > sk_A, X1 : sk_A0 > sk_A]:
0.00/0.45	      (sk_A1 != X0 | sk_P(X1(sk_A31)) | X0 != X1),
0.00/0.45	    inference('simplify', [status(thm)], ['50'])).
0.00/0.45	tff('52', plain,
0.00/0.45	    ![X0 : sk_A0 > sk_A, X1 : sk_A0 > sk_A]:
0.00/0.45	      (~ $true | X1 != sk_A1 | sk_A1 != X1 | sk_A1 != X0),
0.00/0.45	    inference('sup-', [status(thm)], ['51', '48'])).
0.00/0.45	tff('53', plain,
0.00/0.45	    ![X0 : sk_A0 > sk_A, X1 : sk_A0 > sk_A]: (sk_A1 != X0 | X1 != sk_A1),
0.00/0.45	    inference('simplify', [status(thm)], ['52'])).
0.00/0.45	tff('54', plain, ![X0 : sk_A0 > sk_A]: X0 != sk_A1,
0.00/0.45	    inference('condensation', [status(thm)], ['53'])).
0.00/0.45	tff('55', plain, $false, inference('eq_res', [status(thm)], ['54'])).
0.00/0.45	
0.00/0.45	% SZS output end Refutation
0.00/0.45	EOF
