0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : supatvars_ext
0.00/0.00	% Ordering    : rpo6
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-avatar \
0.00/0.00	  --ho \
0.00/0.00	  --force-ho \
0.00/0.00	  --no-ho-elim-pred-var \
0.00/0.00	  --ho-general-ext-pos \
0.00/0.00	  --no-ho-unif \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --sup-at-vars \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n148.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:52:53 CST 2018
0.45/0.64	% done 225 iterations in 0.441s
0.45/0.64	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.45/0.64	% SZS output start Refutation
0.45/0.64	tff('thm/sets/EMPTY_UNIONS_', conjecture,
0.45/0.64	  (![A:$tType,A0:(A > $o > $o)]:
0.45/0.64	     (('const/sets/UNIONS'(A,A0) = 'const/sets/EMPTY'(A)) <=>
0.45/0.64	      (![A1:(A > $o)]:
0.45/0.64	         ('const/sets/IN'(A > $o,A1,A0) => (A1 = 'const/sets/EMPTY'(A))))))).
0.45/0.64	tff(zf_stmt_0, negated_conjecture,
0.45/0.64	  (~
0.45/0.64	    (![A:$tType,A0:(A > $o > $o)]:
0.45/0.64	       (('const/sets/UNIONS'(A,A0) = 'const/sets/EMPTY'(A)) <=>
0.45/0.64	        (![A1:(A > $o)]:
0.45/0.64	           ('const/sets/IN'(A > $o,A1,A0) => (A1 = 'const/sets/EMPTY'(A)))))))).
0.45/0.64	tff('0', plain,
0.45/0.64	    (sk_A1 != 'const/sets/EMPTY'(sk_A)
0.45/0.64	     | 'const/sets/UNIONS'(sk_A, sk_A0) != 'const/sets/EMPTY'(sk_A)),
0.45/0.64	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.45/0.64	tff('1', plain,
0.45/0.64	    (sk_A1('#k1') != 'const/sets/EMPTY'(sk_A, '#k1')
0.45/0.64	     | 'const/sets/UNIONS'(sk_A, sk_A0, '#k2')
0.45/0.64	        != 'const/sets/EMPTY'(sk_A, '#k2')),
0.45/0.64	    inference('rw_lit', [status(thm)], ['0'])).
0.45/0.64	tff('thm/sets/EXTENSION_', axiom,
0.45/0.64	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
0.45/0.64	     ((A0 = A1) <=>
0.45/0.64	      (![A2:A]: ('const/sets/IN'(A,A2,A0) <=> 'const/sets/IN'(A,A2,A1)))))).
0.45/0.64	tff('2', plain,
0.45/0.64	    ![X13 : $tType, X16 : X13 > $o, X18 : X13 > $o]:
0.45/0.64	      (X16 = X18
0.45/0.64	       | 'const/sets/IN'(X13, sk_A21(X13, X18, X16), X18)
0.45/0.64	       | 'const/sets/IN'(X13, sk_A21(X13, X18, X16), X16)),
0.45/0.64	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
0.45/0.64	tff('thm/sets/NOT_IN_EMPTY_', axiom,
0.45/0.64	  (![A:$tType,A0:A]: (~'const/sets/IN'(A,A0,'const/sets/EMPTY'(A))))).
0.45/0.64	tff('3', plain,
0.45/0.64	    ![X2 : $tType, X3 : X2]:
0.45/0.64	      ~ 'const/sets/IN'(X2, X3, 'const/sets/EMPTY'(X2)),
0.45/0.64	    inference('cnf', [status(esa)], [thm/sets/NOT_IN_EMPTY_])).
0.45/0.64	tff('4', plain,
0.45/0.64	    ![X0 : $tType, X1 : X0 > $o]:
0.45/0.64	      (~ $true
0.45/0.64	       | 'const/sets/IN'(X0, sk_A21(X0, 'const/sets/EMPTY'(X0), X1), X1)
0.45/0.64	       | X1 = 'const/sets/EMPTY'(X0)),
0.45/0.64	    inference('sup-', [status(thm)], ['2', '3'])).
0.45/0.64	tff('5', plain,
0.45/0.64	    ![X0 : $tType, X1 : X0 > $o]:
0.45/0.64	      (X1 = 'const/sets/EMPTY'(X0)
0.45/0.64	       | 'const/sets/IN'(X0, sk_A21(X0, 'const/sets/EMPTY'(X0), X1), X1)),
0.45/0.64	    inference('simplify', [status(thm)], ['4'])).
0.45/0.64	tff('thm/sets/IN_UNIONS_', axiom,
0.45/0.64	  (![A:$tType,A0:(A > $o > $o),A1:A]:
0.45/0.64	     ('const/sets/IN'(A,A1,'const/sets/UNIONS'(A,A0)) <=>
0.45/0.64	      (?[A2:(A > $o)]:
0.45/0.64	         ('const/sets/IN'(A,A1,A2) & 'const/sets/IN'(A > $o,A2,A0)))))).
0.45/0.64	tff('6', plain,
0.45/0.64	    ![X8 : $tType, X9 : X8, X10 : X8 > $o > $o]:
0.45/0.64	      ('const/sets/IN'((> $o, X8), sk_A2(X8, X9, X10), X10)
0.45/0.64	       | ~ 'const/sets/IN'(X8, X9, 'const/sets/UNIONS'(X8, X10))),
0.45/0.64	    inference('cnf', [status(esa)], [thm/sets/IN_UNIONS_])).
0.45/0.64	tff('7', plain,
0.45/0.64	    ![X19 : sk_A > $o]:
0.45/0.64	      (~ 'const/sets/IN'((> $o, sk_A), X19, sk_A0)
0.45/0.64	       | X19 = 'const/sets/EMPTY'(sk_A)
0.45/0.64	       | 'const/sets/UNIONS'(sk_A, sk_A0) = 'const/sets/EMPTY'(sk_A)),
0.45/0.64	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.45/0.64	tff('8', plain,
0.45/0.64	    ![X0 : sk_A]:
0.45/0.64	      (~ $true
0.45/0.64	       | ~ 'const/sets/IN'(sk_A, X0, 'const/sets/UNIONS'(sk_A, sk_A0))
0.45/0.64	       | 'const/sets/UNIONS'(sk_A, sk_A0) = 'const/sets/EMPTY'(sk_A)
0.45/0.64	       | sk_A2(sk_A, X0, sk_A0) = 'const/sets/EMPTY'(sk_A)),
0.45/0.64	    inference('sup-', [status(thm)], ['6', '7'])).
0.45/0.64	tff('9', plain,
0.45/0.64	    ![X0 : sk_A]:
0.45/0.64	      (sk_A2(sk_A, X0, sk_A0) = 'const/sets/EMPTY'(sk_A)
0.45/0.64	       | 'const/sets/UNIONS'(sk_A, sk_A0) = 'const/sets/EMPTY'(sk_A)
0.45/0.64	       | ~ 'const/sets/IN'(sk_A, X0, 'const/sets/UNIONS'(sk_A, sk_A0))),
0.45/0.64	    inference('simplify', [status(thm)], ['8'])).
0.45/0.64	tff('10', plain,
0.45/0.64	    ![X8 : $tType, X9 : X8, X10 : X8 > $o > $o]:
0.45/0.64	      ('const/sets/IN'(X8, X9, sk_A2(X8, X9, X10))
0.45/0.64	       | ~ 'const/sets/IN'(X8, X9, 'const/sets/UNIONS'(X8, X10))),
0.45/0.64	    inference('cnf', [status(esa)], [thm/sets/IN_UNIONS_])).
0.45/0.64	tff('11', plain,
0.45/0.64	    ![X0 : sk_A]:
0.45/0.64	      ('const/sets/IN'(sk_A, X0, 'const/sets/EMPTY'(sk_A))
0.45/0.64	       | ~ 'const/sets/IN'(sk_A, X0, 'const/sets/UNIONS'(sk_A, sk_A0))
0.45/0.64	       | 'const/sets/UNIONS'(sk_A, sk_A0) = 'const/sets/EMPTY'(sk_A)
0.45/0.64	       | ~ 'const/sets/IN'(sk_A, X0, 'const/sets/UNIONS'(sk_A, sk_A0))),
0.45/0.64	    inference('sup+', [status(thm)], ['9', '10'])).
0.45/0.64	tff('12', plain,
0.45/0.64	    ![X0 : sk_A]:
0.45/0.64	      ('const/sets/UNIONS'(sk_A, sk_A0) = 'const/sets/EMPTY'(sk_A)
0.45/0.64	       | ~ 'const/sets/IN'(sk_A, X0, 'const/sets/UNIONS'(sk_A, sk_A0))
0.45/0.64	       | 'const/sets/IN'(sk_A, X0, 'const/sets/EMPTY'(sk_A))),
0.45/0.64	    inference('simplify', [status(thm)], ['11'])).
0.45/0.64	tff('13', plain,
0.45/0.64	    ![X0 : sk_A]:
0.45/0.64	      (~ 'const/sets/IN'(sk_A, X0, 'const/sets/UNIONS'(sk_A, sk_A0))
0.45/0.64	       | 'const/sets/UNIONS'(sk_A, sk_A0) = 'const/sets/EMPTY'(sk_A)),
0.45/0.64	    inference('clc', [status(thm)], ['12', '3'])).
0.45/0.64	tff('14', plain,
0.45/0.64	    (~ $true
0.45/0.64	     | 'const/sets/UNIONS'(sk_A, sk_A0) = 'const/sets/EMPTY'(sk_A)
0.45/0.64	     | 'const/sets/UNIONS'(sk_A, sk_A0) = 'const/sets/EMPTY'(sk_A)),
0.45/0.64	    inference('sup-', [status(thm)], ['5', '13'])).
0.45/0.64	tff('15', plain, 'const/sets/UNIONS'(sk_A, sk_A0) = 'const/sets/EMPTY'(sk_A),
0.45/0.64	    inference('simplify', [status(thm)], ['14'])).
0.45/0.64	tff('16', plain,
0.45/0.64	    ![X1 : sk_A]:
0.45/0.64	      'const/sets/UNIONS'(sk_A, sk_A0, X1) = 'const/sets/EMPTY'(sk_A, X1),
0.45/0.64	    inference('ho_complete_eq', [status(thm)], ['15'])).
0.45/0.64	tff('17', plain,
0.45/0.64	    (sk_A1('#k1') != 'const/sets/EMPTY'(sk_A, '#k1')
0.45/0.64	     | 'const/sets/EMPTY'(sk_A, '#k2') != 'const/sets/EMPTY'(sk_A, '#k2')),
0.45/0.64	    inference('demod', [status(thm)], ['1', '16'])).
0.45/0.64	tff('18', plain, sk_A1('#k1') != 'const/sets/EMPTY'(sk_A, '#k1'),
0.45/0.64	    inference('simplify', [status(thm)], ['17'])).
0.45/0.64	tff('19', plain,
0.45/0.64	    ('const/sets/IN'((> $o, sk_A), sk_A1, sk_A0)
0.45/0.64	     | 'const/sets/UNIONS'(sk_A, sk_A0) != 'const/sets/EMPTY'(sk_A)),
0.45/0.64	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.45/0.64	tff('20', plain,
0.45/0.64	    ('const/sets/IN'((> $o, sk_A), sk_A1, sk_A0)
0.45/0.64	     | 'const/sets/UNIONS'(sk_A, sk_A0, '#k2')
0.45/0.64	        != 'const/sets/EMPTY'(sk_A, '#k2')),
0.45/0.64	    inference('rw_lit', [status(thm)], ['19'])).
0.45/0.64	tff('21', plain,
0.45/0.64	    ('const/sets/IN'((> $o, sk_A), sk_A1, sk_A0)
0.45/0.64	     | 'const/sets/EMPTY'(sk_A, '#k2') != 'const/sets/EMPTY'(sk_A, '#k2')),
0.45/0.64	    inference('demod', [status(thm)], ['20', '16'])).
0.45/0.64	tff('22', plain, 'const/sets/IN'((> $o, sk_A), sk_A1, sk_A0),
0.45/0.64	    inference('simplify', [status(thm)], ['21'])).
0.45/0.64	tff('23', plain,
0.45/0.64	    ![X8 : $tType, X10 : X8 > $o > $o, X11 : X8, X12 : X8 > $o]:
0.45/0.64	      ('const/sets/IN'(X8, X11, 'const/sets/UNIONS'(X8, X10))
0.45/0.64	       | ~ 'const/sets/IN'((> $o, X8), X12, X10)
0.45/0.64	       | ~ 'const/sets/IN'(X8, X11, X12)),
0.45/0.64	    inference('cnf', [status(esa)], [thm/sets/IN_UNIONS_])).
0.45/0.64	tff('24', plain,
0.45/0.64	    ![X0 : sk_A]:
0.45/0.64	      (~ $true
0.45/0.64	       | ~ 'const/sets/IN'(sk_A, X0, sk_A1)
0.45/0.64	       | 'const/sets/IN'(sk_A, X0, 'const/sets/UNIONS'(sk_A, sk_A0))),
0.45/0.64	    inference('sup-', [status(thm)], ['22', '23'])).
0.45/0.64	tff('25', plain,
0.45/0.64	    ![X0 : sk_A]:
0.45/0.64	      (~ $true
0.45/0.64	       | ~ 'const/sets/IN'(sk_A, X0, sk_A1)
0.45/0.64	       | 'const/sets/IN'(sk_A, X0, 'const/sets/EMPTY'(sk_A))),
0.45/0.64	    inference('demod', [status(thm)], ['24', '15'])).
0.45/0.64	tff('26', plain,
0.45/0.64	    ![X0 : sk_A]:
0.45/0.64	      ('const/sets/IN'(sk_A, X0, 'const/sets/EMPTY'(sk_A))
0.45/0.64	       | ~ 'const/sets/IN'(sk_A, X0, sk_A1)),
0.45/0.64	    inference('simplify', [status(thm)], ['25'])).
0.45/0.64	tff('27', plain, ![X0 : sk_A]: ~ 'const/sets/IN'(sk_A, X0, sk_A1),
0.45/0.64	    inference('clc', [status(thm)], ['26', '3'])).
0.45/0.64	tff('28', plain, (~ $true | sk_A1 = 'const/sets/EMPTY'(sk_A)),
0.45/0.64	    inference('sup-', [status(thm)], ['5', '27'])).
0.45/0.64	tff('29', plain, sk_A1 = 'const/sets/EMPTY'(sk_A),
0.45/0.64	    inference('simplify', [status(thm)], ['28'])).
0.45/0.64	tff('30', plain,
0.45/0.64	    'const/sets/EMPTY'(sk_A, '#k1') != 'const/sets/EMPTY'(sk_A, '#k1'),
0.45/0.64	    inference('demod', [status(thm)], ['18', '29'])).
0.45/0.64	tff('31', plain, $false, inference('simplify', [status(thm)], ['30'])).
0.45/0.64	
0.45/0.64	% SZS output end Refutation
0.45/0.64	EOF
