0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : supatvars_int
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 $2  \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --sup-at-vars \
0.00/0.01	  --ho-no-ext-pos \
0.00/0.01	  --ho-no-ext-neg \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.19	% Computer   : n130.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:32:54 CST 2018
1.81/1.99	% done 128 iterations in 1.789s
1.81/1.99	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
1.81/1.99	% SZS output start Refutation
1.81/1.99	tff('thm/sets/FORALL_IN_IMAGE_', conjecture,
1.81/1.99	  (![A:$tType,A0:$tType,P:(A > $o),A1:(A0 > A),A2:(A0 > $o)]:
1.81/1.99	     ((![A3:A]:
1.81/1.99	         ('const/sets/IN'(A,A3,'const/sets/IMAGE'(A0,A,A1,A2)) => P(A3))) <=>
1.81/1.99	      (![A3:A0]: ('const/sets/IN'(A0,A3,A2) => P(A1(A3))))))).
1.81/1.99	tff(zf_stmt_0, negated_conjecture,
1.81/1.99	  (~
1.81/1.99	    (![A:$tType,A0:$tType,P:(A > $o),A1:(A0 > A),A2:(A0 > $o)]:
1.81/1.99	       ((![A3:A]:
1.81/1.99	           ('const/sets/IN'(A,A3,'const/sets/IMAGE'(A0,A,A1,A2)) => P(A3))) <=>
1.81/1.99	        (![A3:A0]: ('const/sets/IN'(A0,A3,A2) => P(A1(A3)))))))).
1.81/1.99	tff('0', plain,
1.81/1.99	    ('const/sets/IN'(sk_A0, sk_A31, sk_A2)
1.81/1.99	     | 'const/sets/IN'(sk_A, sk_A32, 
1.81/1.99	         'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))),
1.81/1.99	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.81/1.99	tff('thm/sets/IN_IMAGE_', axiom,
1.81/1.99	  (![B:$tType,A:$tType,A0:B,A1:(A > $o),A2:(A > B)]:
1.81/1.99	     ('const/sets/IN'(B,A0,'const/sets/IMAGE'(A,B,A2,A1)) <=>
1.81/1.99	      (?[A3:A]: ('const/sets/IN'(A,A3,A1) & (A0 = A2(A3))))))).
1.81/1.99	tff('1', plain,
1.81/1.99	    ![X0 : $tType, X1 : $tType, X2 : X0 > X1, X3 : X0 > $o, X4 : X1]:
1.81/1.99	      (X4 = X2(sk_A3(X0, X1, X2, X3, X4))
1.81/1.99	       | ~ 'const/sets/IN'(X1, X4, 'const/sets/IMAGE'(X0, X1, X2, X3))),
1.81/1.99	    inference('cnf', [status(esa)], [thm/sets/IN_IMAGE_])).
1.81/1.99	tff('2', plain,
1.81/1.99	    (~ $true
1.81/1.99	     | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)
1.81/1.99	     | sk_A32 = sk_A1(sk_A3(sk_A0, sk_A, sk_A1, sk_A2, sk_A32))),
1.81/1.99	    inference('sup-', [status(thm)], ['0', '1'])).
1.81/1.99	tff('3', plain,
1.81/1.99	    (sk_A32 = sk_A1(sk_A3(sk_A0, sk_A, sk_A1, sk_A2, sk_A32))
1.81/1.99	     | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)),
1.81/1.99	    inference('simplify', [status(thm)], ['2'])).
1.81/1.99	tff('4', plain,
1.81/1.99	    ![X0 : $tType, X1 : $tType, X2 : X0 > X1, X3 : X0 > $o, X4 : X1]:
1.81/1.99	      ('const/sets/IN'(X0, sk_A3(X0, X1, X2, X3, X4), X3)
1.81/1.99	       | ~ 'const/sets/IN'(X1, X4, 'const/sets/IMAGE'(X0, X1, X2, X3))),
1.81/1.99	    inference('cnf', [status(esa)], [thm/sets/IN_IMAGE_])).
1.81/1.99	tff('5', plain,
1.81/1.99	    ![X0 : $tType, X1 : $tType, X3 : X0 > $o, X4 : X1, X5 : X0 > X1, X6 : X0]:
1.81/1.99	      ('const/sets/IN'(X1, X4, 'const/sets/IMAGE'(X0, X1, X5, X3))
1.81/1.99	       | X4 != X5(X6)
1.81/1.99	       | ~ 'const/sets/IN'(X0, X6, X3)),
1.81/1.99	    inference('cnf', [status(esa)], [thm/sets/IN_IMAGE_])).
1.81/1.99	tff('6', plain,
1.81/1.99	    ![X0 : $tType, X1 : $tType, X3 : X0 > $o, X5 : X0 > X1, X6 : X0]:
1.81/1.99	      (~ 'const/sets/IN'(X0, X6, X3)
1.81/1.99	       | 'const/sets/IN'(X1, X5(X6), 'const/sets/IMAGE'(X0, X1, X5, X3))),
1.81/1.99	    inference('simplify', [status(thm)], ['5'])).
1.81/1.99	tff('7', plain,
1.81/1.99	    ![X0 : $tType, X1 : $tType, X2 : X1 > $o, X3 : X1 > X0, X4 : X1]:
1.81/1.99	      (~ $true
1.81/1.99	       | ~ 'const/sets/IN'(X1, X4, X2)
1.81/1.99	       | X3(X4) = X3(sk_A3(X1, X0, X3, X2, X3(X4)))),
1.81/1.99	    inference('sup-', [status(thm)], ['6', '1'])).
1.81/1.99	tff('8', plain,
1.81/1.99	    ![X0 : $tType, X1 : $tType, X2 : X1 > $o, X3 : X1 > X0, X4 : X1]:
1.81/1.99	      (X3(X4) = X3(sk_A3(X1, X0, X3, X2, X3(X4)))
1.81/1.99	       | ~ 'const/sets/IN'(X1, X4, X2)),
1.81/1.99	    inference('simplify', [status(thm)], ['7'])).
1.81/1.99	tff('9', plain,
1.81/1.99	    ![X0 : $tType, X1 : $tType, X2 : X1 > $o, X3 : X1 > X0, X4 : X1]:
1.81/1.99	      (~ $true
1.81/1.99	       | ~ 'const/sets/IN'(X1, X4, X2)
1.81/1.99	       | 'const/sets/IN'(X1, sk_A3(X1, X0, X3, X2, X3(X4)), X2)),
1.81/1.99	    inference('sup-', [status(thm)], ['6', '4'])).
1.81/1.99	tff('10', plain,
1.81/1.99	    ![X0 : $tType, X1 : $tType, X2 : X1 > $o, X3 : X1 > X0, X4 : X1]:
1.81/1.99	      ('const/sets/IN'(X1, sk_A3(X1, X0, X3, X2, X3(X4)), X2)
1.81/1.99	       | ~ 'const/sets/IN'(X1, X4, X2)),
1.81/1.99	    inference('simplify', [status(thm)], ['9'])).
1.81/1.99	tff('11', plain,
1.81/1.99	    ![X7 : sk_A0, X8 : sk_A]:
1.81/1.99	      (~ 'const/sets/IN'(sk_A0, X7, sk_A2)
1.81/1.99	       | sk_P(sk_A1(X7))
1.81/1.99	       | ~ 'const/sets/IN'(sk_A, X8, 
1.81/1.99	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
1.81/1.99	       | sk_P(X8)),
1.81/1.99	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.81/1.99	tff('12', plain,
1.81/1.99	    ![X0 : $tType, X1 : sk_A0 > X0, X2 : sk_A0, X3 : sk_A]:
1.81/1.99	      (~ $true
1.81/1.99	       | ~ 'const/sets/IN'(sk_A0, X2, sk_A2)
1.81/1.99	       | sk_P(X3)
1.81/1.99	       | ~ 'const/sets/IN'(sk_A, X3, 
1.81/1.99	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
1.81/1.99	       | sk_P(sk_A1(sk_A3(sk_A0, X0, X1, sk_A2, X1(X2))))),
1.81/1.99	    inference('sup-', [status(thm)], ['10', '11'])).
1.81/1.99	tff('13', plain,
1.81/1.99	    ![X0 : $tType, X1 : sk_A0 > X0, X2 : sk_A0, X3 : sk_A]:
1.81/1.99	      (sk_P(sk_A1(sk_A3(sk_A0, X0, X1, sk_A2, X1(X2))))
1.81/1.99	       | ~ 'const/sets/IN'(sk_A, X3, 
1.81/1.99	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
1.81/1.99	       | sk_P(X3)
1.81/1.99	       | ~ 'const/sets/IN'(sk_A0, X2, sk_A2)),
1.81/1.99	    inference('simplify', [status(thm)], ['12'])).
1.81/1.99	tff('14', plain,
1.81/1.99	    ![X0 : sk_A0, X1 : $tType, X2 : sk_A0 > X1]:
1.81/1.99	      (~ $true
1.81/1.99	       | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)
1.81/1.99	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A2)
1.81/1.99	       | sk_P(sk_A32)
1.81/1.99	       | sk_P(sk_A1(sk_A3(sk_A0, X1, X2, sk_A2, X2(X0))))),
1.81/1.99	    inference('sup-', [status(thm)], ['0', '13'])).
1.81/1.99	tff('15', plain,
1.81/1.99	    ![X0 : sk_A0, X1 : $tType, X2 : sk_A0 > X1]:
1.81/1.99	      (sk_P(sk_A1(sk_A3(sk_A0, X1, X2, sk_A2, X2(X0))))
1.81/1.99	       | sk_P(sk_A32)
1.81/1.99	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A2)
1.81/1.99	       | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)),
1.81/1.99	    inference('simplify', [status(thm)], ['14'])).
1.81/1.99	tff('16', plain, ('const/sets/IN'(sk_A0, sk_A31, sk_A2) | ~ sk_P(sk_A32)),
1.81/1.99	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.81/1.99	tff('17', plain,
1.81/1.99	    ![X0 : sk_A]:
1.81/1.99	      (~ $true
1.81/1.99	       | ~ sk_P(sk_A32)
1.81/1.99	       | sk_P(X0)
1.81/1.99	       | ~ 'const/sets/IN'(sk_A, X0, 
1.81/1.99	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
1.81/1.99	       | sk_P(sk_A1(sk_A31))),
1.81/1.99	    inference('sup-', [status(thm)], ['16', '11'])).
1.81/1.99	tff('18', plain,
1.81/1.99	    ![X0 : sk_A]:
1.81/1.99	      (sk_P(sk_A1(sk_A31))
1.81/1.99	       | ~ 'const/sets/IN'(sk_A, X0, 
1.81/1.99	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
1.81/1.99	       | sk_P(X0)
1.81/1.99	       | ~ sk_P(sk_A32)),
1.81/1.99	    inference('simplify', [status(thm)], ['17'])).
1.81/1.99	tff('19', plain, (~ sk_P(sk_A1(sk_A31)) | ~ sk_P(sk_A32)),
1.81/1.99	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.81/1.99	tff('20', plain,
1.81/1.99	    ![X0 : sk_A]:
1.81/1.99	      (~ sk_P(sk_A32)
1.81/1.99	       | sk_P(X0)
1.81/1.99	       | ~ 'const/sets/IN'(sk_A, X0, 
1.81/1.99	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))),
1.81/1.99	    inference('clc', [status(thm)], ['18', '19'])).
1.81/1.99	tff('21', plain,
1.81/1.99	    ![X0 : sk_A0]:
1.81/1.99	      (~ $true
1.81/1.99	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A2)
1.81/1.99	       | sk_P(sk_A1(X0))
1.81/1.99	       | ~ sk_P(sk_A32)),
1.81/1.99	    inference('sup-', [status(thm)], ['6', '20'])).
1.81/1.99	tff('22', plain,
1.81/1.99	    ![X0 : sk_A0]:
1.81/1.99	      (~ sk_P(sk_A32) | sk_P(sk_A1(X0)) | ~ 'const/sets/IN'(sk_A0, X0, sk_A2)),
1.81/1.99	    inference('simplify', [status(thm)], ['21'])).
1.81/1.99	tff('23', plain,
1.81/1.99	    (~ $true | ~ sk_P(sk_A32) | sk_P(sk_A1(sk_A31)) | ~ sk_P(sk_A32)),
1.81/1.99	    inference('sup-', [status(thm)], ['16', '22'])).
1.81/1.99	tff('24', plain, (sk_P(sk_A1(sk_A31)) | ~ sk_P(sk_A32)),
1.81/1.99	    inference('simplify', [status(thm)], ['23'])).
1.81/1.99	tff('25', plain, ~ sk_P(sk_A32),
1.81/1.99	    inference('clc', [status(thm)], ['24', '19'])).
1.81/1.99	tff('26', plain,
1.81/1.99	    ![X0 : sk_A0, X1 : $tType, X2 : sk_A0 > X1]:
1.81/1.99	      ('const/sets/IN'(sk_A0, sk_A31, sk_A2)
1.81/1.99	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A2)
1.81/1.99	       | sk_P(sk_A1(sk_A3(sk_A0, X1, X2, sk_A2, X2(X0))))),
1.81/1.99	    inference('clc', [status(thm)], ['15', '25'])).
1.81/1.99	tff('27', plain,
1.81/1.99	    ![X0 : sk_A0]:
1.81/1.99	      (sk_P(sk_A1(X0))
1.81/1.99	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A2)
1.81/1.99	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A2)
1.81/1.99	       | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)),
1.81/1.99	    inference('sup+', [status(thm)], ['8', '26'])).
1.81/1.99	tff('28', plain,
1.81/1.99	    ![X0 : sk_A0]:
1.81/1.99	      ('const/sets/IN'(sk_A0, sk_A31, sk_A2)
1.81/1.99	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A2)
1.81/1.99	       | sk_P(sk_A1(X0))),
1.81/1.99	    inference('simplify', [status(thm)], ['27'])).
1.81/1.99	tff('29', plain,
1.81/1.99	    ![X0 : $tType, X1 : X0, X2 : sk_A0 > X0]:
1.81/1.99	      (~ $true
1.81/1.99	       | ~ 'const/sets/IN'(X0, X1, 'const/sets/IMAGE'(sk_A0, X0, X2, sk_A2))
1.81/1.99	       | sk_P(sk_A1(sk_A3(sk_A0, X0, X2, sk_A2, X1)))
1.81/1.99	       | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)),
1.81/1.99	    inference('sup-', [status(thm)], ['4', '28'])).
1.81/1.99	tff('30', plain,
1.81/1.99	    ![X0 : $tType, X1 : X0, X2 : sk_A0 > X0]:
1.81/1.99	      ('const/sets/IN'(sk_A0, sk_A31, sk_A2)
1.81/1.99	       | sk_P(sk_A1(sk_A3(sk_A0, X0, X2, sk_A2, X1)))
1.81/1.99	       | ~ 'const/sets/IN'(X0, X1, 'const/sets/IMAGE'(sk_A0, X0, X2, sk_A2))),
1.81/1.99	    inference('simplify', [status(thm)], ['29'])).
1.81/1.99	tff('31', plain,
1.81/1.99	    (sk_P(sk_A32)
1.81/1.99	     | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)
1.81/1.99	     | ~ 'const/sets/IN'(sk_A, sk_A32, 
1.81/1.99	           'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
1.81/1.99	     | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)),
1.81/1.99	    inference('sup+', [status(thm)], ['3', '30'])).
1.81/1.99	tff('32', plain,
1.81/1.99	    (~ 'const/sets/IN'(sk_A, sk_A32, 
1.81/1.99	         'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
1.81/1.99	     | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)
1.81/1.99	     | sk_P(sk_A32)),
1.81/1.99	    inference('simplify', [status(thm)], ['31'])).
1.81/1.99	tff('33', plain, (sk_P(sk_A32) | 'const/sets/IN'(sk_A0, sk_A31, sk_A2)),
1.81/1.99	    inference('clc', [status(thm)], ['32', '0'])).
1.81/1.99	tff('34', plain, 'const/sets/IN'(sk_A0, sk_A31, sk_A2),
1.81/1.99	    inference('clc', [status(thm)], ['33', '25'])).
1.81/1.99	tff('35', plain,
1.81/1.99	    ![X0 : sk_A]:
1.81/1.99	      (~ $true
1.81/1.99	       | sk_P(X0)
1.81/1.99	       | ~ 'const/sets/IN'(sk_A, X0, 
1.81/1.99	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
1.81/1.99	       | sk_P(sk_A1(sk_A31))),
1.81/1.99	    inference('sup-', [status(thm)], ['34', '11'])).
1.81/1.99	tff('36', plain,
1.81/1.99	    ![X0 : sk_A]:
1.81/1.99	      (sk_P(sk_A1(sk_A31))
1.81/1.99	       | ~ 'const/sets/IN'(sk_A, X0, 
1.81/1.99	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
1.81/1.99	       | sk_P(X0)),
1.81/1.99	    inference('simplify', [status(thm)], ['35'])).
1.81/1.99	tff('37', plain,
1.81/1.99	    (~ sk_P(sk_A1(sk_A31))
1.81/1.99	     | 'const/sets/IN'(sk_A, sk_A32, 
1.81/1.99	         'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))),
1.81/1.99	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.81/1.99	tff('38', plain,
1.81/1.99	    (~ $true
1.81/1.99	     | ~ sk_P(sk_A1(sk_A31))
1.81/1.99	     | sk_A32 = sk_A1(sk_A3(sk_A0, sk_A, sk_A1, sk_A2, sk_A32))),
1.81/1.99	    inference('sup-', [status(thm)], ['37', '1'])).
1.81/1.99	tff('39', plain,
1.81/1.99	    (sk_A32 = sk_A1(sk_A3(sk_A0, sk_A, sk_A1, sk_A2, sk_A32))
1.81/1.99	     | ~ sk_P(sk_A1(sk_A31))),
1.81/1.99	    inference('simplify', [status(thm)], ['38'])).
1.81/1.99	tff('40', plain,
1.81/1.99	    ![X0 : sk_A0, X1 : $tType, X2 : sk_A0 > X1]:
1.81/1.99	      (~ $true
1.81/1.99	       | ~ sk_P(sk_A1(sk_A31))
1.81/1.99	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A2)
1.81/1.99	       | sk_P(sk_A32)
1.81/1.99	       | sk_P(sk_A1(sk_A3(sk_A0, X1, X2, sk_A2, X2(X0))))),
1.81/1.99	    inference('sup-', [status(thm)], ['37', '13'])).
1.81/1.99	tff('41', plain,
1.81/1.99	    ![X0 : sk_A0, X1 : $tType, X2 : sk_A0 > X1]:
1.81/1.99	      (sk_P(sk_A1(sk_A3(sk_A0, X1, X2, sk_A2, X2(X0))))
1.81/1.99	       | sk_P(sk_A32)
1.81/1.99	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A2)
1.81/1.99	       | ~ sk_P(sk_A1(sk_A31))),
1.81/1.99	    inference('simplify', [status(thm)], ['40'])).
1.81/1.99	tff('42', plain,
1.81/1.99	    ![X0 : sk_A0, X1 : $tType, X2 : sk_A0 > X1]:
1.81/1.99	      (~ sk_P(sk_A1(sk_A31))
1.81/1.99	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A2)
1.81/1.99	       | sk_P(sk_A1(sk_A3(sk_A0, X1, X2, sk_A2, X2(X0))))),
1.81/1.99	    inference('clc', [status(thm)], ['41', '25'])).
1.81/1.99	tff('43', plain,
1.81/1.99	    ![X0 : sk_A0]:
1.81/1.99	      (sk_P(sk_A1(X0))
1.81/1.99	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A2)
1.81/1.99	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A2)
1.81/1.99	       | ~ sk_P(sk_A1(sk_A31))),
1.81/1.99	    inference('sup+', [status(thm)], ['8', '42'])).
1.81/1.99	tff('44', plain,
1.81/1.99	    ![X0 : sk_A0]:
1.81/1.99	      (~ sk_P(sk_A1(sk_A31))
1.81/1.99	       | ~ 'const/sets/IN'(sk_A0, X0, sk_A2)
1.81/1.99	       | sk_P(sk_A1(X0))),
1.81/1.99	    inference('simplify', [status(thm)], ['43'])).
1.81/1.99	tff('45', plain,
1.81/1.99	    ![X0 : $tType, X1 : X0, X2 : sk_A0 > X0]:
1.81/1.99	      (~ $true
1.81/1.99	       | ~ 'const/sets/IN'(X0, X1, 'const/sets/IMAGE'(sk_A0, X0, X2, sk_A2))
1.81/1.99	       | sk_P(sk_A1(sk_A3(sk_A0, X0, X2, sk_A2, X1)))
1.81/1.99	       | ~ sk_P(sk_A1(sk_A31))),
1.81/1.99	    inference('sup-', [status(thm)], ['4', '44'])).
1.81/1.99	tff('46', plain,
1.81/1.99	    ![X0 : $tType, X1 : X0, X2 : sk_A0 > X0]:
1.81/1.99	      (~ sk_P(sk_A1(sk_A31))
1.81/1.99	       | sk_P(sk_A1(sk_A3(sk_A0, X0, X2, sk_A2, X1)))
1.81/1.99	       | ~ 'const/sets/IN'(X0, X1, 'const/sets/IMAGE'(sk_A0, X0, X2, sk_A2))),
1.81/1.99	    inference('simplify', [status(thm)], ['45'])).
1.81/1.99	tff('47', plain,
1.81/1.99	    (sk_P(sk_A32)
1.81/1.99	     | ~ sk_P(sk_A1(sk_A31))
1.81/1.99	     | ~ 'const/sets/IN'(sk_A, sk_A32, 
1.81/1.99	           'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
1.81/1.99	     | ~ sk_P(sk_A1(sk_A31))),
1.81/1.99	    inference('sup+', [status(thm)], ['39', '46'])).
1.81/1.99	tff('48', plain,
1.81/1.99	    (~ 'const/sets/IN'(sk_A, sk_A32, 
1.81/1.99	         'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))
1.81/1.99	     | ~ sk_P(sk_A1(sk_A31))
1.81/1.99	     | sk_P(sk_A32)),
1.81/1.99	    inference('simplify', [status(thm)], ['47'])).
1.81/1.99	tff('49', plain, (sk_P(sk_A32) | ~ sk_P(sk_A1(sk_A31))),
1.81/1.99	    inference('clc', [status(thm)], ['48', '37'])).
1.81/1.99	tff('50', plain, ~ sk_P(sk_A1(sk_A31)),
1.81/1.99	    inference('clc', [status(thm)], ['49', '25'])).
1.81/1.99	tff('51', plain,
1.81/1.99	    ![X0 : sk_A]:
1.81/1.99	      (sk_P(X0)
1.81/1.99	       | ~ 'const/sets/IN'(sk_A, X0, 
1.81/1.99	             'const/sets/IMAGE'(sk_A0, sk_A, sk_A1, sk_A2))),
1.81/1.99	    inference('clc', [status(thm)], ['36', '50'])).
1.81/1.99	tff('52', plain,
1.81/1.99	    ![X0 : sk_A0]:
1.81/1.99	      (~ $true | ~ 'const/sets/IN'(sk_A0, X0, sk_A2) | sk_P(sk_A1(X0))),
1.81/1.99	    inference('sup-', [status(thm)], ['6', '51'])).
1.81/1.99	tff('53', plain,
1.81/1.99	    ![X0 : sk_A0]: (sk_P(sk_A1(X0)) | ~ 'const/sets/IN'(sk_A0, X0, sk_A2)),
1.81/1.99	    inference('simplify', [status(thm)], ['52'])).
1.81/1.99	tff('54', plain, (~ $true | sk_P(sk_A1(sk_A31))),
1.81/1.99	    inference('sup-', [status(thm)], ['34', '53'])).
1.81/1.99	tff('55', plain, sk_P(sk_A1(sk_A31)),
1.81/1.99	    inference('simplify', [status(thm)], ['54'])).
1.81/1.99	tff('56', plain, ~ $true, inference('sup-', [status(thm)], ['55', '50'])).
1.81/1.99	tff('57', plain, $false, inference('simplify', [status(thm)], ['56'])).
1.81/1.99	
1.81/1.99	% SZS output end Refutation
1.81/1.99	EOF
