0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : fo
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-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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n102.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:37:39 CST 2018
8.81/9.01	% done 753 iterations in 8.807s
8.81/9.01	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
8.81/9.01	% SZS output start Refutation
8.81/9.01	tff('thm/sets/EXTENSION_', axiom,
8.81/9.01	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
8.81/9.01	     ((A0 = A1) <=>
8.81/9.01	      (![A2:A]: ('const/sets/IN'(A,A2,A0) <=> 'const/sets/IN'(A,A2,A1)))))).
8.81/9.01	tff('0', plain,
8.81/9.01	    ![X11 : $tType, X14 : X11 > $o, X16 : X11 > $o]:
8.81/9.01	      (X14 = X16
8.81/9.01	       | 'const/sets/IN'(X11, sk_A2(X11, X16, X14), X16)
8.81/9.01	       | 'const/sets/IN'(X11, sk_A2(X11, X16, X14), X14)),
8.81/9.01	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
8.81/9.01	tff('thm/sets/NOT_IN_EMPTY_', axiom,
8.81/9.01	  (![A:$tType,A0:A]: (~'const/sets/IN'(A,A0,'const/sets/EMPTY'(A))))).
8.81/9.01	tff('1', plain,
8.81/9.01	    ![X9 : $tType, X10 : X9]:
8.81/9.01	      ~ 'const/sets/IN'(X9, X10, 'const/sets/EMPTY'(X9)),
8.81/9.01	    inference('cnf', [status(esa)], [thm/sets/NOT_IN_EMPTY_])).
8.81/9.01	tff('2', plain,
8.81/9.01	    ![X0 : $tType, X1 : X0 > $o]:
8.81/9.01	      (~ $true
8.81/9.01	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/EMPTY'(X0), X1), X1)
8.81/9.01	       | X1 = 'const/sets/EMPTY'(X0)),
8.81/9.01	    inference('sup-', [status(thm)], ['0', '1'])).
8.81/9.01	tff('3', plain,
8.81/9.01	    ![X0 : $tType, X1 : X0 > $o]:
8.81/9.01	      (X1 = 'const/sets/EMPTY'(X0)
8.81/9.01	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/EMPTY'(X0), X1), X1)),
8.81/9.01	    inference('simplify', [status(thm)], ['2'])).
8.81/9.01	tff('thm/iterate/IN_SUPPORT_', axiom,
8.81/9.01	  (![A:$tType,A0:$tType,A1:((A0 * A0) > A0),A2:(A > A0),A3:A,A4:(A > $o)]:
8.81/9.01	     ('const/sets/IN'(A,A3,'const/iterate/support'(A0,A,A1,A2,A4)) <=>
8.81/9.01	      ((A2(A3) != 'const/iterate/neutral'(A0,A1)) & 'const/sets/IN'(A,A3,A4))))).
8.81/9.01	tff('4', plain,
8.81/9.01	    ![X2 : $tType, X3 : (X2 * X2) > X2, X4 : $tType, X5 : X4 > X2, X6 : X4, 
8.81/9.01	      X7 : X4 > $o]:
8.81/9.01	      ('const/sets/IN'(X4, X6, X7)
8.81/9.01	       | ~ 'const/sets/IN'(X4, X6, 
8.81/9.01	             'const/iterate/support'(X2, X4, X3, X5, X7))),
8.81/9.01	    inference('cnf', [status(esa)], [thm/iterate/IN_SUPPORT_])).
8.81/9.01	tff('5', plain,
8.81/9.01	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X0 > X2, 
8.81/9.01	      X4 : (X2 * X2) > X2]:
8.81/9.01	      (~ $true
8.81/9.01	       | 'const/iterate/support'(X2, X0, X4, X3, X1) = 'const/sets/EMPTY'(X0)
8.81/9.01	       | 'const/sets/IN'(X0, 
8.81/9.01	           sk_A2(X0, 'const/sets/EMPTY'(X0), 
8.81/9.01	             'const/iterate/support'(X2, X0, X4, X3, X1)), X1)),
8.81/9.01	    inference('sup-', [status(thm)], ['3', '4'])).
8.81/9.01	tff('6', plain,
8.81/9.01	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X0 > X2, 
8.81/9.01	      X4 : (X2 * X2) > X2]:
8.81/9.01	      ('const/sets/IN'(X0, 
8.81/9.01	         sk_A2(X0, 'const/sets/EMPTY'(X0), 
8.81/9.01	           'const/iterate/support'(X2, X0, X4, X3, X1)), X1)
8.81/9.01	       | 'const/iterate/support'(X2, X0, X4, X3, X1) = 'const/sets/EMPTY'(X0)),
8.81/9.01	    inference('simplify', [status(thm)], ['5'])).
8.81/9.01	tff('thm/iterate/ITERATE_EQ_NEUTRAL_', conjecture,
8.81/9.01	  (![A:$tType,B:$tType,A0:((B * B) > B)]:
8.81/9.01	     ('const/iterate/monoidal'(B,A0) =>
8.81/9.01	      (![A1:(A > B),A2:(A > $o)]:
8.81/9.01	         ((![A3:A]:
8.81/9.01	             ('const/sets/IN'(A,A3,A2) =>
8.81/9.01	              (A1(A3) = 'const/iterate/neutral'(B,A0)))) =>
8.81/9.01	          ('const/iterate/iterate'(A,B,A0,A2,A1) =
8.81/9.01	           'const/iterate/neutral'(B,A0))))))).
8.81/9.01	tff(zf_stmt_0, negated_conjecture,
8.81/9.01	  (~
8.81/9.01	    (![A:$tType,B:$tType,A0:((B * B) > B)]:
8.81/9.01	       ('const/iterate/monoidal'(B,A0) =>
8.81/9.01	        (![A1:(A > B),A2:(A > $o)]:
8.81/9.01	           ((![A3:A]:
8.81/9.01	               ('const/sets/IN'(A,A3,A2) =>
8.81/9.01	                (A1(A3) = 'const/iterate/neutral'(B,A0)))) =>
8.81/9.01	            ('const/iterate/iterate'(A,B,A0,A2,A1) =
8.81/9.01	             'const/iterate/neutral'(B,A0)))))))).
8.81/9.01	tff('7', plain,
8.81/9.01	    ![X34 : sk_A]:
8.81/9.01	      (sk_A1(X34) = 'const/iterate/neutral'(sk_B, sk_A0)
8.81/9.01	       | ~ 'const/sets/IN'(sk_A, X34, sk_A21)),
8.81/9.01	    inference('cnf', [status(esa)], [zf_stmt_0])).
8.81/9.01	tff('8', plain,
8.81/9.01	    ![X0 : $tType, X1 : sk_A > X0, X2 : (X0 * X0) > X0]:
8.81/9.01	      (~ $true
8.81/9.01	       | 'const/iterate/support'(X0, sk_A, X2, X1, sk_A21)
8.81/9.01	          = 'const/sets/EMPTY'(sk_A)
8.81/9.01	       | sk_A1(
8.81/9.01	           sk_A2(sk_A, 'const/sets/EMPTY'(sk_A), 
8.81/9.01	             'const/iterate/support'(X0, sk_A, X2, X1, sk_A21)))
8.81/9.01	          = 'const/iterate/neutral'(sk_B, sk_A0)),
8.81/9.01	    inference('sup-', [status(thm)], ['6', '7'])).
8.81/9.01	tff('9', plain,
8.81/9.01	    ![X0 : $tType, X1 : sk_A > X0, X2 : (X0 * X0) > X0]:
8.81/9.01	      (sk_A1(
8.81/9.01	         sk_A2(sk_A, 'const/sets/EMPTY'(sk_A), 
8.81/9.01	           'const/iterate/support'(X0, sk_A, X2, X1, sk_A21)))
8.81/9.01	        = 'const/iterate/neutral'(sk_B, sk_A0)
8.81/9.01	       | 'const/iterate/support'(X0, sk_A, X2, X1, sk_A21)
8.81/9.01	          = 'const/sets/EMPTY'(sk_A)),
8.81/9.01	    inference('simplify', [status(thm)], ['8'])).
8.81/9.01	tff('10', plain,
8.81/9.01	    ![X2 : $tType, X3 : (X2 * X2) > X2, X4 : $tType, X5 : X4 > X2, X6 : X4, 
8.81/9.01	      X7 : X4 > $o]:
8.81/9.01	      (X5(X6) != 'const/iterate/neutral'(X2, X3)
8.81/9.01	       | ~ 'const/sets/IN'(X4, X6, 
8.81/9.01	             'const/iterate/support'(X2, X4, X3, X5, X7))),
8.81/9.01	    inference('cnf', [status(esa)], [thm/iterate/IN_SUPPORT_])).
8.81/9.01	tff('11', plain,
8.81/9.01	    ![X0 : (sk_B * sk_B) > sk_B, X1 : $tType, X2 : sk_A > X1, 
8.81/9.01	      X3 : (X1 * X1) > X1, X4 : sk_A > $o]:
8.81/9.01	      ('const/iterate/neutral'(sk_B, sk_A0)
8.81/9.01	        != 'const/iterate/neutral'(sk_B, X0)
8.81/9.01	       | 'const/iterate/support'(X1, sk_A, X3, X2, sk_A21)
8.81/9.01	          = 'const/sets/EMPTY'(sk_A)
8.81/9.01	       | ~ 'const/sets/IN'(sk_A, 
8.81/9.01	             sk_A2(sk_A, 'const/sets/EMPTY'(sk_A), 
8.81/9.01	               'const/iterate/support'(X1, sk_A, X3, X2, sk_A21)), 
8.81/9.01	             'const/iterate/support'(sk_B, sk_A, X0, sk_A1, X4))),
8.81/9.01	    inference('sup-', [status(thm)], ['9', '10'])).
8.81/9.01	tff('12', plain,
8.81/9.01	    ![X0 : (sk_B * sk_B) > sk_B]:
8.81/9.01	      (~ $true
8.81/9.01	       | 'const/iterate/support'(sk_B, sk_A, X0, sk_A1, sk_A21)
8.81/9.01	          = 'const/sets/EMPTY'(sk_A)
8.81/9.01	       | 'const/iterate/support'(sk_B, sk_A, X0, sk_A1, sk_A21)
8.81/9.01	          = 'const/sets/EMPTY'(sk_A)
8.81/9.01	       | 'const/iterate/neutral'(sk_B, sk_A0)
8.81/9.01	          != 'const/iterate/neutral'(sk_B, X0)),
8.81/9.01	    inference('sup-', [status(thm)], ['3', '11'])).
8.81/9.01	tff('13', plain,
8.81/9.01	    ![X0 : (sk_B * sk_B) > sk_B]:
8.81/9.01	      ('const/iterate/neutral'(sk_B, sk_A0)
8.81/9.01	        != 'const/iterate/neutral'(sk_B, X0)
8.81/9.01	       | 'const/iterate/support'(sk_B, sk_A, X0, sk_A1, sk_A21)
8.81/9.01	          = 'const/sets/EMPTY'(sk_A)),
8.81/9.01	    inference('simplify', [status(thm)], ['12'])).
8.81/9.01	tff('thm/iterate/ITERATE_SUPPORT_', axiom,
8.81/9.01	  (![A:$tType,A0:$tType,A1:((A0 * A0) > A0),A2:(A > A0),A3:(A > $o)]:
8.81/9.01	     ('const/iterate/iterate'(A,A0,A1,'const/iterate/support'(A0,A,A1,A2,A3),
8.81/9.01	                              A2) =
8.81/9.01	      'const/iterate/iterate'(A,A0,A1,A3,A2)))).
8.81/9.01	tff('14', plain,
8.81/9.01	    ![X17 : $tType, X18 : $tType, X19 : (X18 * X18) > X18, X20 : X17 > $o, 
8.81/9.01	      X21 : X17 > X18]:
8.81/9.01	      'const/iterate/iterate'(X17, X18, X19, 
8.81/9.01	        'const/iterate/support'(X18, X17, X19, X21, X20), X21)
8.81/9.01	       = 'const/iterate/iterate'(X17, X18, X19, X20, X21),
8.81/9.01	    inference('cnf', [status(esa)], [thm/iterate/ITERATE_SUPPORT_])).
8.81/9.01	tff('15', plain,
8.81/9.01	    ![X0 : (sk_B * sk_B) > sk_B]:
8.81/9.01	      ('const/iterate/iterate'(sk_A, sk_B, X0, 'const/sets/EMPTY'(sk_A), 
8.81/9.01	         sk_A1)
8.81/9.01	        = 'const/iterate/iterate'(sk_A, sk_B, X0, sk_A21, sk_A1)
8.81/9.01	       | 'const/iterate/neutral'(sk_B, sk_A0)
8.81/9.01	          != 'const/iterate/neutral'(sk_B, X0)),
8.81/9.01	    inference('sup+', [status(thm)], ['13', '14'])).
8.81/9.01	tff('16', plain,
8.81/9.01	    'const/iterate/iterate'(sk_A, sk_B, sk_A0, 'const/sets/EMPTY'(sk_A), 
8.81/9.01	      sk_A1)
8.81/9.01	     = 'const/iterate/iterate'(sk_A, sk_B, sk_A0, sk_A21, sk_A1),
8.81/9.01	    inference('eq_res', [status(thm)], ['15'])).
8.81/9.01	tff('17', plain, 'const/iterate/monoidal'(sk_B, sk_A0),
8.81/9.01	    inference('cnf', [status(esa)], [zf_stmt_0])).
8.81/9.01	tff('thm/iterate/ITERATE_CLAUSES_', axiom,
8.81/9.01	  (![A:$tType,A0:$tType,A1:$tType,A2:((A1 * A1) > A1)]:
8.81/9.01	     ('const/iterate/monoidal'(A1,A2) =>
8.81/9.01	      ((![A3:(A0 > A1),A4:A0,A5:(A0 > $o)]:
8.81/9.01	          ('const/sets/FINITE'(A0,A5) =>
8.81/9.01	           ('const/iterate/iterate'(A0,A1,A2,'const/sets/INSERT'(A0,A4,A5),A3) =
8.81/9.01	            'const/class/COND'(A1,'const/sets/IN'(A0,A4,A5),
8.81/9.01	                               'const/iterate/iterate'(A0,A1,A2,A5,A3),
8.81/9.01	                               A2(A3(A4),
8.81/9.01	                                  'const/iterate/iterate'(A0,A1,A2,A5,A3)))))) & 
8.81/9.01	       (![A3:(A > A1)]:
8.81/9.01	          ('const/iterate/iterate'(A,A1,A2,'const/sets/EMPTY'(A),A3) =
8.81/9.01	           'const/iterate/neutral'(A1,A2))))))).
8.81/9.01	tff('18', plain,
8.81/9.01	    ![X28 : $tType, X30 : (X28 * X28) > X28, X32 : $tType, X33 : X32 > X28]:
8.81/9.01	      ('const/iterate/iterate'(X32, X28, X30, 'const/sets/EMPTY'(X32), X33)
8.81/9.01	        = 'const/iterate/neutral'(X28, X30)
8.81/9.01	       | ~ 'const/iterate/monoidal'(X28, X30)),
8.81/9.01	    inference('cnf', [status(esa)], [thm/iterate/ITERATE_CLAUSES_])).
8.81/9.01	tff('19', plain,
8.81/9.01	    ![X0 : $tType, X1 : X0 > sk_B]:
8.81/9.01	      (~ $true
8.81/9.01	       | 'const/iterate/iterate'(X0, sk_B, sk_A0, 'const/sets/EMPTY'(X0), X1)
8.81/9.01	          = 'const/iterate/neutral'(sk_B, sk_A0)),
8.81/9.01	    inference('sup-', [status(thm)], ['17', '18'])).
8.81/9.01	tff('20', plain,
8.81/9.01	    ![X0 : $tType, X1 : X0 > sk_B]:
8.81/9.01	      'const/iterate/iterate'(X0, sk_B, sk_A0, 'const/sets/EMPTY'(X0), X1)
8.81/9.01	       = 'const/iterate/neutral'(sk_B, sk_A0),
8.81/9.01	    inference('simplify', [status(thm)], ['19'])).
8.81/9.01	tff('21', plain,
8.81/9.01	    'const/iterate/neutral'(sk_B, sk_A0)
8.81/9.01	     = 'const/iterate/iterate'(sk_A, sk_B, sk_A0, sk_A21, sk_A1),
8.81/9.01	    inference('demod', [status(thm)], ['16', '20'])).
8.81/9.01	tff('22', plain,
8.81/9.01	    'const/iterate/iterate'(sk_A, sk_B, sk_A0, sk_A21, sk_A1)
8.81/9.01	     != 'const/iterate/neutral'(sk_B, sk_A0),
8.81/9.01	    inference('cnf', [status(esa)], [zf_stmt_0])).
8.81/9.01	tff('23', plain, $false,
8.81/9.01	    inference('simplify_reflect-', [status(thm)], ['21', '22'])).
8.81/9.01	
8.81/9.01	% SZS output end Refutation
8.81/9.01	EOF
