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_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 $2  \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --ho-purify int \
0.00/0.01	  --ho-no-ext-pos \
0.00/0.01	  --ho-no-ext-neg \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.21	% Computer   : n154.star.cs.uiowa.edu
0.00/0.21	% Model      : x86_64 x86_64
0.00/0.21	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.21	% Memory     : 32218.625MB
0.00/0.21	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.21	% CPULimit   : 300
0.00/0.21	% DateTime   : Fri Feb  2 18:39:08 CST 2018
0.00/0.26	% done 91 iterations in 0.046s
0.00/0.26	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.26	% SZS output start Refutation
0.00/0.26	tff('thm/iterate/NSUM_SUBSET_', axiom,
0.00/0.26	  (![A:$tType,A0:(A > $o),A1:(A > $o),A2:(A > 'type/nums/num')]:
0.00/0.26	     (((![A3:A]:
0.00/0.26	          ('const/sets/IN'(A,A3,'const/sets/DIFF'(A,A0,A1)) =>
0.00/0.26	           (A2(A3) = 'const/nums/NUMERAL'('const/nums/_0')))) & 
0.00/0.26	       'const/sets/FINITE'(A,A1) & 'const/sets/FINITE'(A,A0)) =>
0.00/0.26	      'const/arith/<='('const/iterate/nsum'(A,A0,A2),
0.00/0.26	                       'const/iterate/nsum'(A,A1,A2))))).
0.00/0.26	tff('0', plain,
0.00/0.26	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > 'type/nums/num']:
0.00/0.26	      (~ 'const/sets/FINITE'(X0, X1)
0.00/0.26	       | ~ 'const/sets/FINITE'(X0, X2)
0.00/0.26	       | 'const/sets/IN'(X0, sk_A3(X0, X3, X2, X1), 
0.00/0.26	           'const/sets/DIFF'(X0, X1, X2))
0.00/0.26	       | 'const/arith/<='('const/iterate/nsum'(X0, X1, X3), 
0.00/0.26	           'const/iterate/nsum'(X0, X2, X3))),
0.00/0.26	    inference('cnf', [status(esa)], [thm/iterate/NSUM_SUBSET_])).
0.00/0.26	tff('thm/sets/SUBSET_', axiom,
0.00/0.26	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
0.00/0.26	     ('const/sets/SUBSET'(A,A0,A1) <=>
0.00/0.26	      (![A2:A]: ('const/sets/IN'(A,A2,A0) => 'const/sets/IN'(A,A2,A1)))))).
0.00/0.26	tff('1', plain,
0.00/0.26	    ![X7 : $tType, X9 : X7 > $o, X11 : X7 > $o]:
0.00/0.26	      ('const/sets/SUBSET'(X7, X9, X11)
0.00/0.26	       | 'const/sets/IN'(X7, sk_A2(X7, X11, X9), X9)),
0.00/0.26	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
0.00/0.26	tff('thm/sets/IN_DIFF_', axiom,
0.00/0.26	  (![A:$tType,A0:(A > $o),A1:(A > $o),A2:A]:
0.00/0.26	     ('const/sets/IN'(A,A2,'const/sets/DIFF'(A,A0,A1)) <=>
0.00/0.26	      ((~'const/sets/IN'(A,A2,A1)) & 'const/sets/IN'(A,A2,A0))))).
0.00/0.26	tff('2', plain,
0.00/0.26	    ![X12 : $tType, X13 : X12, X14 : X12 > $o, X15 : X12 > $o]:
0.00/0.26	      ('const/sets/IN'(X12, X13, X15)
0.00/0.26	       | ~ 'const/sets/IN'(X12, X13, 'const/sets/DIFF'(X12, X15, X14))),
0.00/0.26	    inference('cnf', [status(esa)], [thm/sets/IN_DIFF_])).
0.00/0.26	tff('3', plain,
0.00/0.26	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
0.00/0.26	      (~ $true
0.00/0.26	       | 'const/sets/SUBSET'(X0, 'const/sets/DIFF'(X0, X2, X1), X3)
0.00/0.26	       | 'const/sets/IN'(X0, sk_A2(X0, X3, 'const/sets/DIFF'(X0, X2, X1)), 
0.00/0.26	           X2)),
0.00/0.26	    inference('sup-', [status(thm)], ['1', '2'])).
0.00/0.26	tff('4', plain,
0.00/0.26	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
0.00/0.26	      ('const/sets/IN'(X0, sk_A2(X0, X3, 'const/sets/DIFF'(X0, X2, X1)), X2)
0.00/0.26	       | 'const/sets/SUBSET'(X0, 'const/sets/DIFF'(X0, X2, X1), X3)),
0.00/0.26	    inference('simplify', [status(thm)], ['3'])).
0.00/0.26	tff('thm/iterate/NSUM_SUBSET_SIMPLE_', conjecture,
0.00/0.26	  (![A:$tType,A0:(A > $o),A1:(A > $o),A2:(A > 'type/nums/num')]:
0.00/0.26	     (('const/sets/SUBSET'(A,A0,A1) & 'const/sets/FINITE'(A,A1)) =>
0.00/0.26	      'const/arith/<='('const/iterate/nsum'(A,A0,A2),
0.00/0.26	                       'const/iterate/nsum'(A,A1,A2))))).
0.00/0.26	tff(zf_stmt_0, negated_conjecture,
0.00/0.26	  (~
0.00/0.26	    (![A:$tType,A0:(A > $o),A1:(A > $o),A2:(A > 'type/nums/num')]:
0.00/0.26	       (('const/sets/SUBSET'(A,A0,A1) & 'const/sets/FINITE'(A,A1)) =>
0.00/0.26	        'const/arith/<='('const/iterate/nsum'(A,A0,A2),
0.00/0.26	                         'const/iterate/nsum'(A,A1,A2)))))).
0.00/0.26	tff('5', plain, 'const/sets/SUBSET'(sk_A, sk_A0, sk_A1),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.26	tff('6', plain,
0.00/0.26	    ![X7 : $tType, X8 : X7, X9 : X7 > $o, X10 : X7 > $o]:
0.00/0.26	      (~ 'const/sets/IN'(X7, X8, X9)
0.00/0.26	       | 'const/sets/IN'(X7, X8, X10)
0.00/0.26	       | ~ 'const/sets/SUBSET'(X7, X9, X10)),
0.00/0.26	    inference('cnf', [status(esa)], [thm/sets/SUBSET_])).
0.00/0.26	tff('7', plain,
0.00/0.26	    ![X0 : sk_A]:
0.00/0.26	      (~ $true
0.00/0.26	       | 'const/sets/IN'(sk_A, X0, sk_A1)
0.00/0.26	       | ~ 'const/sets/IN'(sk_A, X0, sk_A0)),
0.00/0.26	    inference('sup-', [status(thm)], ['5', '6'])).
0.00/0.26	tff('8', plain,
0.00/0.26	    ![X0 : sk_A]:
0.00/0.26	      (~ 'const/sets/IN'(sk_A, X0, sk_A0) | 'const/sets/IN'(sk_A, X0, sk_A1)),
0.00/0.26	    inference('simplify', [status(thm)], ['7'])).
0.00/0.26	tff('9', plain,
0.00/0.26	    ![X0 : sk_A > $o, X1 : sk_A > $o]:
0.00/0.26	      (~ $true
0.00/0.26	       | 'const/sets/SUBSET'(sk_A, 'const/sets/DIFF'(sk_A, sk_A0, X0), X1)
0.00/0.26	       | 'const/sets/IN'(sk_A, 
0.00/0.26	           sk_A2(sk_A, X1, 'const/sets/DIFF'(sk_A, sk_A0, X0)), sk_A1)),
0.00/0.26	    inference('sup-', [status(thm)], ['4', '8'])).
0.00/0.26	tff('10', plain,
0.00/0.26	    ![X0 : sk_A > $o, X1 : sk_A > $o]:
0.00/0.26	      ('const/sets/IN'(sk_A, 
0.00/0.26	         sk_A2(sk_A, X1, 'const/sets/DIFF'(sk_A, sk_A0, X0)), sk_A1)
0.00/0.26	       | 'const/sets/SUBSET'(sk_A, 'const/sets/DIFF'(sk_A, sk_A0, X0), X1)),
0.00/0.26	    inference('simplify', [status(thm)], ['9'])).
0.00/0.26	tff('11', plain,
0.00/0.26	    ![X12 : $tType, X13 : X12, X14 : X12 > $o, X15 : X12 > $o]:
0.00/0.26	      (~ 'const/sets/IN'(X12, X13, X14)
0.00/0.26	       | ~ 'const/sets/IN'(X12, X13, 'const/sets/DIFF'(X12, X15, X14))),
0.00/0.26	    inference('cnf', [status(esa)], [thm/sets/IN_DIFF_])).
0.00/0.26	tff('12', plain,
0.00/0.26	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
0.00/0.26	      (~ $true
0.00/0.26	       | 'const/sets/SUBSET'(X0, 'const/sets/DIFF'(X0, X2, X1), X3)
0.00/0.26	       | ~ 'const/sets/IN'(X0, sk_A2(X0, X3, 'const/sets/DIFF'(X0, X2, X1)), 
0.00/0.26	             X1)),
0.00/0.26	    inference('sup-', [status(thm)], ['1', '11'])).
0.00/0.26	tff('13', plain,
0.00/0.26	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0 > $o]:
0.00/0.26	      (~ 'const/sets/IN'(X0, sk_A2(X0, X3, 'const/sets/DIFF'(X0, X2, X1)), 
0.00/0.26	           X1)
0.00/0.26	       | 'const/sets/SUBSET'(X0, 'const/sets/DIFF'(X0, X2, X1), X3)),
0.00/0.26	    inference('simplify', [status(thm)], ['12'])).
0.00/0.26	tff('14', plain,
0.00/0.26	    ![X0 : sk_A > $o]:
0.00/0.26	      (~ $true
0.00/0.26	       | 'const/sets/SUBSET'(sk_A, 'const/sets/DIFF'(sk_A, sk_A0, sk_A1), X0)
0.00/0.26	       | 'const/sets/SUBSET'(sk_A, 'const/sets/DIFF'(sk_A, sk_A0, sk_A1), X0)),
0.00/0.26	    inference('sup-', [status(thm)], ['10', '13'])).
0.00/0.26	tff('15', plain,
0.00/0.26	    ![X0 : sk_A > $o]:
0.00/0.26	      'const/sets/SUBSET'(sk_A, 'const/sets/DIFF'(sk_A, sk_A0, sk_A1), X0),
0.00/0.26	    inference('simplify', [status(thm)], ['14'])).
0.00/0.26	tff('16', plain,
0.00/0.26	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.00/0.26	      (~ $true
0.00/0.26	       | 'const/sets/SUBSET'(X0, 'const/sets/DIFF'(X0, X1, X1), X2)
0.00/0.26	       | 'const/sets/SUBSET'(X0, 'const/sets/DIFF'(X0, X1, X1), X2)),
0.00/0.26	    inference('sup-', [status(thm)], ['4', '13'])).
0.00/0.26	tff('17', plain,
0.00/0.26	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o]:
0.00/0.26	      'const/sets/SUBSET'(X0, 'const/sets/DIFF'(X0, X1, X1), X2),
0.00/0.26	    inference('simplify', [status(thm)], ['16'])).
0.00/0.26	tff('18', plain,
0.00/0.26	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0]:
0.00/0.26	      (~ $true
0.00/0.26	       | 'const/sets/IN'(X0, X3, X1)
0.00/0.26	       | ~ 'const/sets/IN'(X0, X3, 'const/sets/DIFF'(X0, X2, X2))),
0.00/0.26	    inference('sup-', [status(thm)], ['17', '6'])).
0.00/0.26	tff('19', plain,
0.00/0.26	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > $o, X3 : X0]:
0.00/0.26	      (~ 'const/sets/IN'(X0, X3, 'const/sets/DIFF'(X0, X2, X2))
0.00/0.26	       | 'const/sets/IN'(X0, X3, X1)),
0.00/0.26	    inference('simplify', [status(thm)], ['18'])).
0.00/0.26	tff('20', plain,
0.00/0.26	    ![X0 : $tType, X1 : X0 > $o, X3 : X0, X4 : X0 > $o]:
0.00/0.26	      (~ $true
0.00/0.26	       | ~ 'const/sets/IN'(X0, X3, 'const/sets/DIFF'(X0, X4, X4))
0.00/0.26	       | ~ 'const/sets/IN'(X0, X3, X1)),
0.00/0.26	    inference('sup-', [status(thm)], ['19', '11'])).
0.00/0.26	tff('21', plain,
0.00/0.26	    ![X0 : $tType, X1 : X0 > $o, X3 : X0, X4 : X0 > $o]:
0.00/0.26	      (~ 'const/sets/IN'(X0, X3, X1)
0.00/0.26	       | ~ 'const/sets/IN'(X0, X3, 'const/sets/DIFF'(X0, X4, X4))),
0.00/0.26	    inference('simplify', [status(thm)], ['20'])).
0.00/0.26	tff('22', plain,
0.00/0.26	    ![X0 : $tType, X1 : X0 > $o, X2 : X0]:
0.00/0.26	      ~ 'const/sets/IN'(X0, X2, 'const/sets/DIFF'(X0, X1, X1)),
0.00/0.26	    inference('condensation', [status(thm)], ['21'])).
0.00/0.26	tff('23', plain,
0.00/0.26	    ![X0 : $tType, X1 : X0 > $o, X2 : X0, X3 : X0 > $o]:
0.00/0.26	      (~ $true
0.00/0.26	       | ~ 'const/sets/SUBSET'(X0, X3, 'const/sets/DIFF'(X0, X1, X1))
0.00/0.26	       | ~ 'const/sets/IN'(X0, X2, X3)),
0.00/0.26	    inference('sup-', [status(thm)], ['6', '22'])).
0.00/0.26	tff('24', plain,
0.00/0.26	    ![X0 : $tType, X1 : X0 > $o, X2 : X0, X3 : X0 > $o]:
0.00/0.26	      (~ 'const/sets/IN'(X0, X2, X3)
0.00/0.26	       | ~ 'const/sets/SUBSET'(X0, X3, 'const/sets/DIFF'(X0, X1, X1))),
0.00/0.26	    inference('simplify', [status(thm)], ['23'])).
0.00/0.26	tff('25', plain,
0.00/0.26	    ![X1 : sk_A]:
0.00/0.26	      (~ $true
0.00/0.26	       | ~ 'const/sets/IN'(sk_A, X1, 'const/sets/DIFF'(sk_A, sk_A0, sk_A1))),
0.00/0.26	    inference('sup-', [status(thm)], ['15', '24'])).
0.00/0.26	tff('26', plain,
0.00/0.26	    ![X1 : sk_A]:
0.00/0.26	      ~ 'const/sets/IN'(sk_A, X1, 'const/sets/DIFF'(sk_A, sk_A0, sk_A1)),
0.00/0.26	    inference('simplify', [status(thm)], ['25'])).
0.00/0.26	tff('27', plain,
0.00/0.26	    ![X0 : sk_A > 'type/nums/num']:
0.00/0.26	      (~ $true
0.00/0.26	       | 'const/arith/<='('const/iterate/nsum'(sk_A, sk_A0, X0), 
0.00/0.26	           'const/iterate/nsum'(sk_A, sk_A1, X0))
0.00/0.26	       | ~ 'const/sets/FINITE'(sk_A, sk_A1)
0.00/0.26	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)),
0.00/0.26	    inference('sup-', [status(thm)], ['0', '26'])).
0.00/0.26	tff('28', plain, 'const/sets/FINITE'(sk_A, sk_A1),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.26	tff('thm/sets/FINITE_SUBSET_', axiom,
0.00/0.26	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
0.00/0.26	     (('const/sets/SUBSET'(A,A0,A1) & 'const/sets/FINITE'(A,A1)) =>
0.00/0.26	      'const/sets/FINITE'(A,A0)))).
0.00/0.26	tff('29', plain,
0.00/0.26	    ![X4 : $tType, X5 : X4 > $o, X6 : X4 > $o]:
0.00/0.26	      ('const/sets/FINITE'(X4, X5)
0.00/0.26	       | ~ 'const/sets/SUBSET'(X4, X5, X6)
0.00/0.26	       | ~ 'const/sets/FINITE'(X4, X6)),
0.00/0.26	    inference('cnf', [status(esa)], [thm/sets/FINITE_SUBSET_])).
0.00/0.26	tff('30', plain,
0.00/0.26	    (~ $true
0.00/0.26	     | ~ 'const/sets/FINITE'(sk_A, sk_A1)
0.00/0.26	     | 'const/sets/FINITE'(sk_A, sk_A0)),
0.00/0.26	    inference('sup-', [status(thm)], ['5', '29'])).
0.00/0.26	tff('31', plain, (~ $true | ~ $true | 'const/sets/FINITE'(sk_A, sk_A0)),
0.00/0.26	    inference('demod', [status(thm)], ['30', '28'])).
0.00/0.26	tff('32', plain, 'const/sets/FINITE'(sk_A, sk_A0),
0.00/0.26	    inference('simplify', [status(thm)], ['31'])).
0.00/0.26	tff('33', plain,
0.00/0.26	    ![X0 : sk_A > 'type/nums/num']:
0.00/0.26	      (~ $true
0.00/0.26	       | 'const/arith/<='('const/iterate/nsum'(sk_A, sk_A0, X0), 
0.00/0.26	           'const/iterate/nsum'(sk_A, sk_A1, X0))
0.00/0.26	       | ~ $true
0.00/0.26	       | ~ $true),
0.00/0.26	    inference('demod', [status(thm)], ['27', '28', '32'])).
0.00/0.26	tff('34', plain,
0.00/0.26	    ![X0 : sk_A > 'type/nums/num']:
0.00/0.26	      'const/arith/<='('const/iterate/nsum'(sk_A, sk_A0, X0), 
0.00/0.26	        'const/iterate/nsum'(sk_A, sk_A1, X0)),
0.00/0.26	    inference('simplify', [status(thm)], ['33'])).
0.00/0.26	tff('35', plain,
0.00/0.26	    ~ 'const/arith/<='('const/iterate/nsum'(sk_A, sk_A0, sk_A21), 
0.00/0.26	        'const/iterate/nsum'(sk_A, sk_A1, sk_A21)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.26	tff('36', plain, ~ $true, inference('sup-', [status(thm)], ['34', '35'])).
0.00/0.26	tff('37', plain, $false, inference('simplify', [status(thm)], ['36'])).
0.00/0.26	
0.00/0.26	% SZS output end Refutation
0.00/0.26	EOF
