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    : purification_int
0.00/0.00	% Ordering    : kbo
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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.21	% Computer   : n105.star.cs.uiowa.edu
0.00/0.21	% Model      : x86_64 x86_64
0.00/0.21	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.21	% Memory     : 32218.625MB
0.00/0.21	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.21	% CPULimit   : 300
0.00/0.21	% DateTime   : Fri Feb  2 18:37:39 CST 2018
0.00/0.36	% done 61 iterations in 0.138s
0.00/0.36	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.36	% SZS output start Refutation
0.00/0.36	tff('thm/sets/EXTENSION_', axiom,
0.00/0.36	  (![A:$tType,A0:(A > $o),A1:(A > $o)]:
0.00/0.36	     ((A0 = A1) <=>
0.00/0.36	      (![A2:A]: ('const/sets/IN'(A,A2,A0) <=> 'const/sets/IN'(A,A2,A1)))))).
0.00/0.36	tff('0', plain,
0.00/0.36	    ![X11 : $tType, X14 : X11 > $o, X16 : X11 > $o]:
0.00/0.36	      (X14 = X16
0.00/0.36	       | 'const/sets/IN'(X11, sk_A2(X11, X16, X14), X16)
0.00/0.36	       | 'const/sets/IN'(X11, sk_A2(X11, X16, X14), X14)),
0.00/0.36	    inference('cnf', [status(esa)], [thm/sets/EXTENSION_])).
0.00/0.36	tff('thm/sets/NOT_IN_EMPTY_', axiom,
0.00/0.36	  (![A:$tType,A0:A]: (~'const/sets/IN'(A,A0,'const/sets/EMPTY'(A))))).
0.00/0.36	tff('1', plain,
0.00/0.36	    ![X9 : $tType, X10 : X9]:
0.00/0.36	      ~ 'const/sets/IN'(X9, X10, 'const/sets/EMPTY'(X9)),
0.00/0.36	    inference('cnf', [status(esa)], [thm/sets/NOT_IN_EMPTY_])).
0.00/0.36	tff('2', plain,
0.00/0.36	    ![X0 : $tType, X1 : X0 > $o]:
0.00/0.36	      (~ $true
0.00/0.36	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/EMPTY'(X0), X1), X1)
0.00/0.36	       | X1 = 'const/sets/EMPTY'(X0)),
0.00/0.36	    inference('sup-', [status(thm)], ['0', '1'])).
0.00/0.36	tff('3', plain,
0.00/0.36	    ![X0 : $tType, X1 : X0 > $o]:
0.00/0.36	      (X1 = 'const/sets/EMPTY'(X0)
0.00/0.36	       | 'const/sets/IN'(X0, sk_A2(X0, 'const/sets/EMPTY'(X0), X1), X1)),
0.00/0.36	    inference('simplify', [status(thm)], ['2'])).
0.00/0.36	tff('thm/iterate/IN_SUPPORT_', axiom,
0.00/0.36	  (![A:$tType,A0:$tType,A1:((A0 * A0) > A0),A2:(A > A0),A3:A,A4:(A > $o)]:
0.00/0.36	     ('const/sets/IN'(A,A3,'const/iterate/support'(A0,A,A1,A2,A4)) <=>
0.00/0.36	      ((A2(A3) != 'const/iterate/neutral'(A0,A1)) & 'const/sets/IN'(A,A3,A4))))).
0.00/0.36	tff('4', plain,
0.00/0.36	    ![X2 : $tType, X3 : (X2 * X2) > X2, X4 : $tType, X5 : X4 > X2, X6 : X4, 
0.00/0.36	      X7 : X4 > $o]:
0.00/0.36	      ('const/sets/IN'(X4, X6, X7)
0.00/0.36	       | ~ 'const/sets/IN'(X4, X6, 
0.00/0.36	             'const/iterate/support'(X2, X4, X3, X5, X7))),
0.00/0.36	    inference('cnf', [status(esa)], [thm/iterate/IN_SUPPORT_])).
0.00/0.36	tff('5', plain,
0.00/0.36	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X0 > X2, 
0.00/0.36	      X4 : (X2 * X2) > X2]:
0.00/0.36	      (~ $true
0.00/0.36	       | 'const/iterate/support'(X2, X0, X4, X3, X1) = 'const/sets/EMPTY'(X0)
0.00/0.36	       | 'const/sets/IN'(X0, 
0.00/0.36	           sk_A2(X0, 'const/sets/EMPTY'(X0), 
0.00/0.36	             'const/iterate/support'(X2, X0, X4, X3, X1)), X1)),
0.00/0.36	    inference('sup-', [status(thm)], ['3', '4'])).
0.00/0.36	tff('6', plain,
0.00/0.36	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X0 > X2, 
0.00/0.36	      X4 : (X2 * X2) > X2]:
0.00/0.36	      ('const/sets/IN'(X0, 
0.00/0.36	         sk_A2(X0, 'const/sets/EMPTY'(X0), 
0.00/0.36	           'const/iterate/support'(X2, X0, X4, X3, X1)), X1)
0.00/0.36	       | 'const/iterate/support'(X2, X0, X4, X3, X1) = 'const/sets/EMPTY'(X0)),
0.00/0.36	    inference('simplify', [status(thm)], ['5'])).
0.00/0.36	tff('thm/iterate/ITERATE_EQ_NEUTRAL_', conjecture,
0.00/0.36	  (![A:$tType,B:$tType,A0:((B * B) > B)]:
0.00/0.36	     ('const/iterate/monoidal'(B,A0) =>
0.00/0.36	      (![A1:(A > B),A2:(A > $o)]:
0.00/0.36	         ((![A3:A]:
0.00/0.36	             ('const/sets/IN'(A,A3,A2) =>
0.00/0.36	              (A1(A3) = 'const/iterate/neutral'(B,A0)))) =>
0.00/0.36	          ('const/iterate/iterate'(A,B,A0,A2,A1) =
0.00/0.36	           'const/iterate/neutral'(B,A0))))))).
0.00/0.36	tff(zf_stmt_0, negated_conjecture,
0.00/0.36	  (~
0.00/0.36	    (![A:$tType,B:$tType,A0:((B * B) > B)]:
0.00/0.36	       ('const/iterate/monoidal'(B,A0) =>
0.00/0.36	        (![A1:(A > B),A2:(A > $o)]:
0.00/0.36	           ((![A3:A]:
0.00/0.36	               ('const/sets/IN'(A,A3,A2) =>
0.00/0.36	                (A1(A3) = 'const/iterate/neutral'(B,A0)))) =>
0.00/0.36	            ('const/iterate/iterate'(A,B,A0,A2,A1) =
0.00/0.36	             'const/iterate/neutral'(B,A0)))))))).
0.00/0.36	tff('7', plain,
0.00/0.36	    ![X34 : sk_A]:
0.00/0.36	      (sk_A1(X34) = 'const/iterate/neutral'(sk_B, sk_A0)
0.00/0.36	       | ~ 'const/sets/IN'(sk_A, X34, sk_A21)),
0.00/0.36	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.36	tff('8', plain,
0.00/0.36	    ![X0 : $tType, X1 : sk_A > X0, X2 : (X0 * X0) > X0]:
0.00/0.36	      (~ $true
0.00/0.36	       | 'const/iterate/support'(X0, sk_A, X2, X1, sk_A21)
0.00/0.36	          = 'const/sets/EMPTY'(sk_A)
0.00/0.36	       | sk_A1(
0.00/0.36	           sk_A2(sk_A, 'const/sets/EMPTY'(sk_A), 
0.00/0.36	             'const/iterate/support'(X0, sk_A, X2, X1, sk_A21)))
0.00/0.36	          = 'const/iterate/neutral'(sk_B, sk_A0)),
0.00/0.36	    inference('sup-', [status(thm)], ['6', '7'])).
0.00/0.36	tff('9', plain,
0.00/0.36	    ![X0 : $tType, X1 : sk_A > X0, X2 : (X0 * X0) > X0]:
0.00/0.36	      (sk_A1(
0.00/0.36	         sk_A2(sk_A, 'const/sets/EMPTY'(sk_A), 
0.00/0.36	           'const/iterate/support'(X0, sk_A, X2, X1, sk_A21)))
0.00/0.36	        = 'const/iterate/neutral'(sk_B, sk_A0)
0.00/0.36	       | 'const/iterate/support'(X0, sk_A, X2, X1, sk_A21)
0.00/0.36	          = 'const/sets/EMPTY'(sk_A)),
0.00/0.36	    inference('simplify', [status(thm)], ['8'])).
0.00/0.36	tff('10', plain,
0.00/0.36	    ![X2 : $tType, X3 : (X2 * X2) > X2, X4 : $tType, X5 : X4 > X2, X6 : X4, 
0.00/0.36	      X7 : X4 > $o]:
0.00/0.36	      (X5(X6) != 'const/iterate/neutral'(X2, X3)
0.00/0.36	       | ~ 'const/sets/IN'(X4, X6, 
0.00/0.36	             'const/iterate/support'(X2, X4, X3, X5, X7))),
0.00/0.36	    inference('cnf', [status(esa)], [thm/iterate/IN_SUPPORT_])).
0.00/0.36	tff('11', plain,
0.00/0.36	    ![X2 : $tType, X3 : (X2 * X2) > X2, X4 : $tType, X5 : X4 > X2, X6 : X4, 
0.00/0.36	      X7 : X4 > $o, X8 : X4 > X2]:
0.00/0.36	      (X8 != X5
0.00/0.36	       | X5(X6) != 'const/iterate/neutral'(X2, X3)
0.00/0.36	       | ~ 'const/sets/IN'(X4, X6, 
0.00/0.36	             'const/iterate/support'(X2, X4, X3, X8, X7))),
0.00/0.36	    inference('ho.purify_applied_variable', [status(thm)], ['10'])).
0.00/0.36	tff('12', plain,
0.00/0.36	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X0 > X2, 
0.00/0.36	      X4 : (X2 * X2) > X2, X5 : X0 > X2]:
0.00/0.36	      (~ $true
0.00/0.36	       | 'const/iterate/support'(X2, X0, X4, X3, X1) = 'const/sets/EMPTY'(X0)
0.00/0.36	       | X5(
0.00/0.36	           sk_A2(X0, 'const/sets/EMPTY'(X0), 
0.00/0.36	             'const/iterate/support'(X2, X0, X4, X3, X1)))
0.00/0.36	          != 'const/iterate/neutral'(X2, X4)
0.00/0.36	       | X3 != X5),
0.00/0.36	    inference('sup-', [status(thm)], ['3', '11'])).
0.00/0.36	tff('13', plain,
0.00/0.36	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X0 > X2, 
0.00/0.36	      X4 : (X2 * X2) > X2, X5 : X0 > X2]:
0.00/0.36	      (X3 != X5
0.00/0.36	       | X5(
0.00/0.36	           sk_A2(X0, 'const/sets/EMPTY'(X0), 
0.00/0.36	             'const/iterate/support'(X2, X0, X4, X3, X1)))
0.00/0.36	          != 'const/iterate/neutral'(X2, X4)
0.00/0.36	       | 'const/iterate/support'(X2, X0, X4, X3, X1) = 'const/sets/EMPTY'(X0)),
0.00/0.36	    inference('simplify', [status(thm)], ['12'])).
0.00/0.36	tff('14', plain,
0.00/0.36	    ![X0 : (sk_B * sk_B) > sk_B, X1 : sk_A > sk_B]:
0.00/0.36	      ('const/iterate/neutral'(sk_B, sk_A0)
0.00/0.36	        != 'const/iterate/neutral'(sk_B, X0)
0.00/0.36	       | 'const/iterate/support'(sk_B, sk_A, X0, X1, sk_A21)
0.00/0.36	          = 'const/sets/EMPTY'(sk_A)
0.00/0.36	       | 'const/iterate/support'(sk_B, sk_A, X0, X1, sk_A21)
0.00/0.36	          = 'const/sets/EMPTY'(sk_A)
0.00/0.36	       | X1 != sk_A1),
0.00/0.36	    inference('sup-', [status(thm)], ['9', '13'])).
0.00/0.36	tff('15', plain,
0.00/0.36	    ![X0 : (sk_B * sk_B) > sk_B, X1 : sk_A > sk_B]:
0.00/0.36	      (X1 != sk_A1
0.00/0.36	       | 'const/iterate/support'(sk_B, sk_A, X0, X1, sk_A21)
0.00/0.36	          = 'const/sets/EMPTY'(sk_A)
0.00/0.36	       | 'const/iterate/neutral'(sk_B, sk_A0)
0.00/0.36	          != 'const/iterate/neutral'(sk_B, X0)),
0.00/0.36	    inference('simplify', [status(thm)], ['14'])).
0.00/0.36	tff('thm/iterate/ITERATE_SUPPORT_', axiom,
0.00/0.36	  (![A:$tType,A0:$tType,A1:((A0 * A0) > A0),A2:(A > A0),A3:(A > $o)]:
0.00/0.36	     ('const/iterate/iterate'(A,A0,A1,'const/iterate/support'(A0,A,A1,A2,A3),
0.00/0.36	                              A2) =
0.00/0.36	      'const/iterate/iterate'(A,A0,A1,A3,A2)))).
0.00/0.36	tff('16', plain,
0.00/0.36	    ![X17 : $tType, X18 : $tType, X19 : (X18 * X18) > X18, X20 : X17 > $o, 
0.00/0.36	      X21 : X17 > X18]:
0.00/0.36	      'const/iterate/iterate'(X17, X18, X19, 
0.00/0.36	        'const/iterate/support'(X18, X17, X19, X21, X20), X21)
0.00/0.36	       = 'const/iterate/iterate'(X17, X18, X19, X20, X21),
0.00/0.36	    inference('cnf', [status(esa)], [thm/iterate/ITERATE_SUPPORT_])).
0.00/0.36	tff('17', plain,
0.00/0.36	    ![X0 : sk_A > sk_B, X1 : (sk_B * sk_B) > sk_B]:
0.00/0.36	      ('const/iterate/iterate'(sk_A, sk_B, X1, 'const/sets/EMPTY'(sk_A), X0)
0.00/0.36	        = 'const/iterate/iterate'(sk_A, sk_B, X1, sk_A21, X0)
0.00/0.36	       | 'const/iterate/neutral'(sk_B, sk_A0)
0.00/0.36	          != 'const/iterate/neutral'(sk_B, X1)
0.00/0.36	       | X0 != sk_A1),
0.00/0.36	    inference('sup+', [status(thm)], ['15', '16'])).
0.00/0.36	tff('thm/iterate/ITERATE_CLAUSES_', axiom,
0.00/0.36	  (![A:$tType,A0:$tType,A1:$tType,A2:((A1 * A1) > A1)]:
0.00/0.36	     ('const/iterate/monoidal'(A1,A2) =>
0.00/0.36	      ((![A3:(A0 > A1),A4:A0,A5:(A0 > $o)]:
0.00/0.36	          ('const/sets/FINITE'(A0,A5) =>
0.00/0.36	           ('const/iterate/iterate'(A0,A1,A2,'const/sets/INSERT'(A0,A4,A5),A3) =
0.00/0.36	            'const/class/COND'(A1,'const/sets/IN'(A0,A4,A5),
0.00/0.36	                               'const/iterate/iterate'(A0,A1,A2,A5,A3),
0.00/0.36	                               A2(A3(A4),
0.00/0.36	                                  'const/iterate/iterate'(A0,A1,A2,A5,A3)))))) & 
0.00/0.36	       (![A3:(A > A1)]:
0.00/0.36	          ('const/iterate/iterate'(A,A1,A2,'const/sets/EMPTY'(A),A3) =
0.00/0.36	           'const/iterate/neutral'(A1,A2))))))).
0.00/0.36	tff('18', plain,
0.00/0.36	    ![X28 : $tType, X30 : (X28 * X28) > X28, X32 : $tType, X33 : X32 > X28]:
0.00/0.36	      ('const/iterate/iterate'(X32, X28, X30, 'const/sets/EMPTY'(X32), X33)
0.00/0.36	        = 'const/iterate/neutral'(X28, X30)
0.00/0.36	       | ~ 'const/iterate/monoidal'(X28, X30)),
0.00/0.36	    inference('cnf', [status(esa)], [thm/iterate/ITERATE_CLAUSES_])).
0.00/0.36	tff('19', plain,
0.00/0.36	    ![X0 : sk_A > sk_B, X1 : (sk_B * sk_B) > sk_B]:
0.00/0.36	      ('const/iterate/iterate'(sk_A, sk_B, X1, sk_A21, X0)
0.00/0.36	        = 'const/iterate/neutral'(sk_B, X1)
0.00/0.36	       | X0 != sk_A1
0.00/0.36	       | 'const/iterate/neutral'(sk_B, sk_A0)
0.00/0.36	          != 'const/iterate/neutral'(sk_B, X1)
0.00/0.36	       | ~ 'const/iterate/monoidal'(sk_B, X1)),
0.00/0.36	    inference('sup+', [status(thm)], ['17', '18'])).
0.00/0.36	tff('20', plain,
0.00/0.36	    'const/iterate/iterate'(sk_A, sk_B, sk_A0, sk_A21, sk_A1)
0.00/0.36	     != 'const/iterate/neutral'(sk_B, sk_A0),
0.00/0.36	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.36	tff('21', plain,
0.00/0.36	    ('const/iterate/neutral'(sk_B, sk_A0)
0.00/0.36	      != 'const/iterate/neutral'(sk_B, sk_A0)
0.00/0.36	     | ~ 'const/iterate/monoidal'(sk_B, sk_A0)
0.00/0.36	     | 'const/iterate/neutral'(sk_B, sk_A0)
0.00/0.36	        != 'const/iterate/neutral'(sk_B, sk_A0)
0.00/0.36	     | sk_A1 != sk_A1),
0.00/0.36	    inference('sup-', [status(thm)], ['19', '20'])).
0.00/0.36	tff('22', plain, 'const/iterate/monoidal'(sk_B, sk_A0),
0.00/0.36	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.36	tff('23', plain,
0.00/0.36	    ('const/iterate/neutral'(sk_B, sk_A0)
0.00/0.36	      != 'const/iterate/neutral'(sk_B, sk_A0)
0.00/0.36	     | ~ $true
0.00/0.36	     | 'const/iterate/neutral'(sk_B, sk_A0)
0.00/0.36	        != 'const/iterate/neutral'(sk_B, sk_A0)
0.00/0.36	     | sk_A1 != sk_A1),
0.00/0.36	    inference('demod', [status(thm)], ['21', '22'])).
0.00/0.36	tff('24', plain, $false, inference('simplify', [status(thm)], ['23'])).
0.00/0.36	
0.00/0.36	% SZS output end Refutation
0.00/0.36	EOF
