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    : purification_int
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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n077.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:37:54 CST 2018
0.00/0.22	% done 12 iterations in 0.026s
0.00/0.22	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.22	% SZS output start Refutation
0.00/0.23	tff('thm/iterate/nsum_', axiom,
0.00/0.23	  (![A:$tType]:
0.00/0.23	     ('const/iterate/nsum'(A) =
0.00/0.23	      'const/iterate/iterate'(A,'type/nums/num','const/arith/+')))).
0.00/0.23	tff('0', plain,
0.00/0.23	    ![X0 : $tType]:
0.00/0.23	      'const/iterate/nsum'(X0)
0.00/0.23	       = 'const/iterate/iterate'(X0, 'type/nums/num', 'const/arith/+'),
0.00/0.23	    inference('cnf', [status(esa)], [thm/iterate/nsum_])).
0.00/0.23	tff('1', plain,
0.00/0.23	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > 'type/nums/num']:
0.00/0.23	      'const/iterate/nsum'(X0, X1, X2)
0.00/0.23	       = 'const/iterate/iterate'(X0, 'type/nums/num', 'const/arith/+', X1, 
0.00/0.23	           X2),
0.00/0.23	    inference('ho_complete_eq', [status(thm)], ['0'])).
0.00/0.23	tff('thm/iterate/NSUM_DELETE_', conjecture,
0.00/0.23	  (![A:$tType,A0:(A > 'type/nums/num'),A1:(A > $o),A2:A]:
0.00/0.23	     (('const/sets/IN'(A,A2,A1) & 'const/sets/FINITE'(A,A1)) =>
0.00/0.23	      ('const/arith/+'(A0(A2),
0.00/0.23	                       'const/iterate/nsum'(A,'const/sets/DELETE'(A,A1,A2),A0)) =
0.00/0.23	       'const/iterate/nsum'(A,A1,A0))))).
0.00/0.23	tff(zf_stmt_0, negated_conjecture,
0.00/0.23	  (~
0.00/0.23	    (![A:$tType,A0:(A > 'type/nums/num'),A1:(A > $o),A2:A]:
0.00/0.23	       (('const/sets/IN'(A,A2,A1) & 'const/sets/FINITE'(A,A1)) =>
0.00/0.23	        ('const/arith/+'(A0(A2),
0.00/0.23	                         'const/iterate/nsum'(A,'const/sets/DELETE'(A,A1,A2),
0.00/0.23	                                              A0)) =
0.00/0.23	         'const/iterate/nsum'(A,A1,A0)))))).
0.00/0.23	tff('2', plain, 'const/sets/IN'(sk_A, sk_A2, sk_A1),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('thm/iterate/ITERATE_DELETE_', axiom,
0.00/0.23	  (![A:$tType,B:$tType,A0:((B * B) > B)]:
0.00/0.23	     ('const/iterate/monoidal'(B,A0) =>
0.00/0.23	      (![A1:(A > B),A2:(A > $o),A3:A]:
0.00/0.23	         (('const/sets/IN'(A,A3,A2) & 'const/sets/FINITE'(A,A2)) =>
0.00/0.23	          (A0(A1(A3),
0.00/0.23	              'const/iterate/iterate'(A,B,A0,'const/sets/DELETE'(A,A2,A3),A1)) =
0.00/0.23	           'const/iterate/iterate'(A,B,A0,A2,A1))))))).
0.00/0.23	tff('3', plain,
0.00/0.23	    ![X1 : $tType, X2 : $tType, X3 : (X2 * X2) > X2, X4 : X1 > $o, 
0.00/0.23	      X5 : X1 > X2, X6 : X1]:
0.00/0.23	      (X3(X5(X6), 
0.00/0.23	         'const/iterate/iterate'(X1, X2, X3, 
0.00/0.23	           'const/sets/DELETE'(X1, X4, X6), X5))
0.00/0.23	        = 'const/iterate/iterate'(X1, X2, X3, X4, X5)
0.00/0.23	       | ~ 'const/sets/IN'(X1, X6, X4)
0.00/0.23	       | ~ 'const/sets/FINITE'(X1, X4)
0.00/0.23	       | ~ 'const/iterate/monoidal'(X2, X3)),
0.00/0.23	    inference('cnf', [status(esa)], [thm/iterate/ITERATE_DELETE_])).
0.00/0.23	tff('4', plain,
0.00/0.23	    ![X1 : $tType, X2 : $tType, X3 : (X2 * X2) > X2, X4 : X1 > $o, 
0.00/0.23	      X5 : X1 > X2, X6 : X1, X7 : (X2 * X2) > X2, X8 : X1 > X2]:
0.00/0.23	      (X8 != X5
0.00/0.23	       | X7 != X3
0.00/0.23	       | X3(X5(X6), 
0.00/0.23	           'const/iterate/iterate'(X1, X2, X7, 
0.00/0.23	             'const/sets/DELETE'(X1, X4, X6), X8))
0.00/0.23	          = 'const/iterate/iterate'(X1, X2, X7, X4, X8)
0.00/0.23	       | ~ 'const/sets/IN'(X1, X6, X4)
0.00/0.23	       | ~ 'const/sets/FINITE'(X1, X4)
0.00/0.23	       | ~ 'const/iterate/monoidal'(X2, X7)),
0.00/0.23	    inference('ho.purify_applied_variable', [status(thm)], ['3'])).
0.00/0.23	tff('5', plain,
0.00/0.23	    ![X0 : $tType, X1 : (X0 * X0) > X0, X2 : (X0 * X0) > X0, X3 : sk_A > X0, 
0.00/0.23	      X4 : sk_A > X0]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ 'const/iterate/monoidal'(X0, X1)
0.00/0.23	       | ~ 'const/sets/FINITE'(sk_A, sk_A1)
0.00/0.23	       | X2(X4(sk_A2), 
0.00/0.23	           'const/iterate/iterate'(sk_A, X0, X1, 
0.00/0.23	             'const/sets/DELETE'(sk_A, sk_A1, sk_A2), X3))
0.00/0.23	          = 'const/iterate/iterate'(sk_A, X0, X1, sk_A1, X3)
0.00/0.23	       | X1 != X2
0.00/0.23	       | X3 != X4),
0.00/0.23	    inference('sup-', [status(thm)], ['2', '4'])).
0.00/0.23	tff('6', plain, 'const/sets/FINITE'(sk_A, sk_A1),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('7', plain,
0.00/0.23	    ![X0 : $tType, X1 : (X0 * X0) > X0, X2 : (X0 * X0) > X0, X3 : sk_A > X0, 
0.00/0.23	      X4 : sk_A > X0]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ 'const/iterate/monoidal'(X0, X1)
0.00/0.23	       | ~ $true
0.00/0.23	       | X2(X4(sk_A2), 
0.00/0.23	           'const/iterate/iterate'(sk_A, X0, X1, 
0.00/0.23	             'const/sets/DELETE'(sk_A, sk_A1, sk_A2), X3))
0.00/0.23	          = 'const/iterate/iterate'(sk_A, X0, X1, sk_A1, X3)
0.00/0.23	       | X1 != X2
0.00/0.23	       | X3 != X4),
0.00/0.23	    inference('demod', [status(thm)], ['5', '6'])).
0.00/0.23	tff('8', plain,
0.00/0.23	    ![X0 : $tType, X1 : (X0 * X0) > X0, X2 : (X0 * X0) > X0, X3 : sk_A > X0, 
0.00/0.23	      X4 : sk_A > X0]:
0.00/0.23	      (X3 != X4
0.00/0.23	       | X1 != X2
0.00/0.23	       | X2(X4(sk_A2), 
0.00/0.23	           'const/iterate/iterate'(sk_A, X0, X1, 
0.00/0.23	             'const/sets/DELETE'(sk_A, sk_A1, sk_A2), X3))
0.00/0.23	          = 'const/iterate/iterate'(sk_A, X0, X1, sk_A1, X3)
0.00/0.23	       | ~ 'const/iterate/monoidal'(X0, X1)),
0.00/0.23	    inference('simplify', [status(thm)], ['7'])).
0.00/0.23	tff('9', plain,
0.00/0.23	    ![X0 : sk_A > 'type/nums/num', 
0.00/0.23	      X1 : ('type/nums/num' * 'type/nums/num') > 'type/nums/num', 
0.00/0.23	      X2 : sk_A > 'type/nums/num']:
0.00/0.23	      (X1(X2(sk_A2), 
0.00/0.23	         'const/iterate/nsum'(sk_A, 'const/sets/DELETE'(sk_A, sk_A1, sk_A2), 
0.00/0.23	           X0))
0.00/0.23	        = 'const/iterate/iterate'(sk_A, 'type/nums/num', 'const/arith/+', 
0.00/0.23	            sk_A1, X0)
0.00/0.23	       | ~ 'const/iterate/monoidal'('type/nums/num', 'const/arith/+')
0.00/0.23	       | 'const/arith/+' != X1
0.00/0.23	       | X0 != X2),
0.00/0.23	    inference('sup+', [status(thm)], ['1', '8'])).
0.00/0.23	tff('thm/iterate/MONOIDAL_ADD_', axiom,
0.00/0.23	  ('const/iterate/monoidal'('type/nums/num','const/arith/+'))).
0.00/0.23	tff('10', plain, 'const/iterate/monoidal'('type/nums/num', 'const/arith/+'),
0.00/0.23	    inference('cnf', [status(esa)], [thm/iterate/MONOIDAL_ADD_])).
0.00/0.23	tff('11', plain,
0.00/0.23	    ![X0 : sk_A > 'type/nums/num', 
0.00/0.23	      X1 : ('type/nums/num' * 'type/nums/num') > 'type/nums/num', 
0.00/0.23	      X2 : sk_A > 'type/nums/num']:
0.00/0.23	      (X1(X2(sk_A2), 
0.00/0.23	         'const/iterate/nsum'(sk_A, 'const/sets/DELETE'(sk_A, sk_A1, sk_A2), 
0.00/0.23	           X0))
0.00/0.23	        = 'const/iterate/iterate'(sk_A, 'type/nums/num', 'const/arith/+', 
0.00/0.23	            sk_A1, X0)
0.00/0.23	       | ~ $true
0.00/0.23	       | 'const/arith/+' != X1
0.00/0.23	       | X0 != X2),
0.00/0.23	    inference('demod', [status(thm)], ['9', '10'])).
0.00/0.23	tff('12', plain,
0.00/0.23	    ![X0 : sk_A > 'type/nums/num', 
0.00/0.23	      X1 : ('type/nums/num' * 'type/nums/num') > 'type/nums/num', 
0.00/0.23	      X2 : sk_A > 'type/nums/num']:
0.00/0.23	      (X0 != X2
0.00/0.23	       | 'const/arith/+' != X1
0.00/0.23	       | X1(X2(sk_A2), 
0.00/0.23	           'const/iterate/nsum'(sk_A, 
0.00/0.23	             'const/sets/DELETE'(sk_A, sk_A1, sk_A2), X0))
0.00/0.23	          = 'const/iterate/iterate'(sk_A, 'type/nums/num', 'const/arith/+', 
0.00/0.23	              sk_A1, X0)),
0.00/0.23	    inference('simplify', [status(thm)], ['11'])).
0.00/0.23	tff('13', plain,
0.00/0.23	    ![X0 : sk_A > 'type/nums/num', 
0.00/0.23	      X1 : ('type/nums/num' * 'type/nums/num') > 'type/nums/num', 
0.00/0.23	      X2 : sk_A > 'type/nums/num', 
0.00/0.23	      X3 : ('type/nums/num' * 'type/nums/num') > 'type/nums/num']:
0.00/0.23	      (X3 != X1
0.00/0.23	       | X0 != X2
0.00/0.23	       | 'const/arith/+' != X1
0.00/0.23	       | X3(X2(sk_A2), 
0.00/0.23	           'const/iterate/nsum'(sk_A, 
0.00/0.23	             'const/sets/DELETE'(sk_A, sk_A1, sk_A2), X0))
0.00/0.23	          = 'const/iterate/iterate'(sk_A, 'type/nums/num', 'const/arith/+', 
0.00/0.23	              sk_A1, X0)),
0.00/0.23	    inference('ho.purify_applied_variable', [status(thm)], ['12'])).
0.00/0.23	tff('14', plain,
0.00/0.23	    ![X0 : ('type/nums/num' * 'type/nums/num') > 'type/nums/num', 
0.00/0.23	      X1 : sk_A > 'type/nums/num', X2 : sk_A > 'type/nums/num', 
0.00/0.23	      X3 : ('type/nums/num' * 'type/nums/num') > 'type/nums/num']:
0.00/0.23	      ('const/iterate/nsum'(sk_A, sk_A1, X1)
0.00/0.23	        = X0(X2(sk_A2), 
0.00/0.23	            'const/iterate/nsum'(sk_A, 
0.00/0.23	              'const/sets/DELETE'(sk_A, sk_A1, sk_A2), X1))
0.00/0.23	       | 'const/arith/+' != X3
0.00/0.23	       | X1 != X2
0.00/0.23	       | X0 != X3),
0.00/0.23	    inference('sup+', [status(thm)], ['13', '1'])).
0.00/0.23	tff('15', plain,
0.00/0.23	    'const/arith/+'(sk_A0(sk_A2), 
0.00/0.23	      'const/iterate/nsum'(sk_A, 'const/sets/DELETE'(sk_A, sk_A1, sk_A2), 
0.00/0.23	        sk_A0))
0.00/0.23	     != 'const/iterate/nsum'(sk_A, sk_A1, sk_A0),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('16', plain,
0.00/0.23	    ![X0 : ('type/nums/num' * 'type/nums/num') > 'type/nums/num']:
0.00/0.23	      ('const/iterate/nsum'(sk_A, sk_A1, sk_A0)
0.00/0.23	        != 'const/iterate/nsum'(sk_A, sk_A1, sk_A0)
0.00/0.23	       | 'const/arith/+' != X0
0.00/0.23	       | sk_A0 != sk_A0
0.00/0.23	       | 'const/arith/+' != X0),
0.00/0.23	    inference('sup-', [status(thm)], ['14', '15'])).
0.00/0.23	tff('17', plain,
0.00/0.23	    ![X0 : ('type/nums/num' * 'type/nums/num') > 'type/nums/num']:
0.00/0.23	      'const/arith/+' != X0,
0.00/0.23	    inference('simplify', [status(thm)], ['16'])).
0.00/0.23	tff('18', plain, $false, inference('eq_res', [status(thm)], ['17'])).
0.00/0.23	
0.00/0.23	% SZS output end Refutation
0.00/0.23	EOF
