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_ext
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 ext \
0.00/0.01	  --ho-ext-axiom \
0.00/0.01	  --restrict-hidden-sup-at-vars \
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
0.00/0.20	% Computer   : n042.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 17:15:40 CST 2018
0.00/0.22	% done 41 iterations in 0.016s
0.00/0.22	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.22	% SZS output start Refutation
0.00/0.23	tff(subsetTI, axiom,
0.00/0.23	  (subsetTI <=>
0.00/0.23	   (![A,X]:
0.00/0.23	      (in(X,powerset(A)) =>
0.00/0.23	       (![Y]:
0.00/0.23	          (in(Y,powerset(A)) =>
0.00/0.23	           ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => subset(X,Y)))))))).
0.00/0.23	tff('0', plain,
0.00/0.23	    ![X2, X3, X4]:
0.00/0.23	      (~ in(X2, powerset(X3))
0.00/0.23	       | in(sk_Xx(X4, X2, X3), X3)
0.00/0.23	       | subset(X2, X4)
0.00/0.23	       | ~ in(X4, powerset(X3))
0.00/0.23	       | ~ subsetTI),
0.00/0.23	    inference('cnf', [status(esa)], [subsetTI])).
0.00/0.23	tff(powersetTI1, conjecture,
0.00/0.23	  (powersetI1 =>
0.00/0.23	   (subsetTI =>
0.00/0.23	    (![A,X]:
0.00/0.23	       (in(X,powerset(A)) =>
0.00/0.23	        (![Y]:
0.00/0.23	           (in(Y,powerset(A)) =>
0.00/0.23	            ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) =>
0.00/0.23	             in(X,powerset(Y)))))))))).
0.00/0.23	tff(zf_stmt_0, negated_conjecture,
0.00/0.23	  (~
0.00/0.23	    (powersetI1 =>
0.00/0.23	     (subsetTI =>
0.00/0.23	      (![A,X]:
0.00/0.23	         (in(X,powerset(A)) =>
0.00/0.23	          (![Y]:
0.00/0.23	             (in(Y,powerset(A)) =>
0.00/0.23	              ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) =>
0.00/0.23	               in(X,powerset(Y))))))))))).
0.00/0.23	tff('1', plain, subsetTI, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('2', plain,
0.00/0.23	    ![X2, X3, X4]:
0.00/0.23	      (~ in(X2, powerset(X3))
0.00/0.23	       | in(sk_Xx(X4, X2, X3), X3)
0.00/0.23	       | subset(X2, X4)
0.00/0.23	       | ~ in(X4, powerset(X3))
0.00/0.23	       | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['0', '1'])).
0.00/0.23	tff('3', plain,
0.00/0.23	    ![X2, X3, X4]:
0.00/0.23	      (~ in(X4, powerset(X3))
0.00/0.23	       | subset(X2, X4)
0.00/0.23	       | in(sk_Xx(X4, X2, X3), X3)
0.00/0.23	       | ~ in(X2, powerset(X3))),
0.00/0.23	    inference('simplify', [status(thm)], ['2'])).
0.00/0.23	tff('4', plain,
0.00/0.23	    ![X2, X3, X4]:
0.00/0.23	      (~ in(X2, powerset(X3))
0.00/0.23	       | in(sk_Xx(X4, X2, X3), X2)
0.00/0.23	       | subset(X2, X4)
0.00/0.23	       | ~ in(X4, powerset(X3))
0.00/0.23	       | ~ subsetTI),
0.00/0.23	    inference('cnf', [status(esa)], [subsetTI])).
0.00/0.23	tff('5', plain,
0.00/0.23	    ![X2, X3, X4]:
0.00/0.23	      (~ in(X2, powerset(X3))
0.00/0.23	       | in(sk_Xx(X4, X2, X3), X2)
0.00/0.23	       | subset(X2, X4)
0.00/0.23	       | ~ in(X4, powerset(X3))
0.00/0.23	       | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['4', '1'])).
0.00/0.23	tff('6', plain,
0.00/0.23	    ![X2, X3, X4]:
0.00/0.23	      (~ in(X4, powerset(X3))
0.00/0.23	       | subset(X2, X4)
0.00/0.23	       | in(sk_Xx(X4, X2, X3), X2)
0.00/0.23	       | ~ in(X2, powerset(X3))),
0.00/0.23	    inference('simplify', [status(thm)], ['5'])).
0.00/0.23	tff('7', plain, ![X6]: (~ in(X6, sk_X1) | in(X6, sk_Y1) | ~ in(X6, sk_A2)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('8', plain,
0.00/0.23	    ![X2, X3, X4]:
0.00/0.23	      (~ in(X2, powerset(X3))
0.00/0.23	       | ~ in(sk_Xx(X4, X2, X3), X4)
0.00/0.23	       | subset(X2, X4)
0.00/0.23	       | ~ in(X4, powerset(X3))
0.00/0.23	       | ~ subsetTI),
0.00/0.23	    inference('cnf', [status(esa)], [subsetTI])).
0.00/0.23	tff('9', plain,
0.00/0.23	    ![X2, X3, X4]:
0.00/0.23	      (~ in(X2, powerset(X3))
0.00/0.23	       | ~ in(sk_Xx(X4, X2, X3), X4)
0.00/0.23	       | subset(X2, X4)
0.00/0.23	       | ~ in(X4, powerset(X3))
0.00/0.23	       | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['8', '1'])).
0.00/0.23	tff('10', plain,
0.00/0.23	    ![X2, X3, X4]:
0.00/0.23	      (~ in(X4, powerset(X3))
0.00/0.23	       | subset(X2, X4)
0.00/0.23	       | ~ in(sk_Xx(X4, X2, X3), X4)
0.00/0.23	       | ~ in(X2, powerset(X3))),
0.00/0.23	    inference('simplify', [status(thm)], ['9'])).
0.00/0.23	tff('11', plain,
0.00/0.23	    ![X0, X1]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ in(sk_Xx(sk_Y1, X1, X0), sk_A2)
0.00/0.23	       | ~ in(sk_Xx(sk_Y1, X1, X0), sk_X1)
0.00/0.23	       | ~ in(X1, powerset(X0))
0.00/0.23	       | subset(X1, sk_Y1)
0.00/0.23	       | ~ in(sk_Y1, powerset(X0))),
0.00/0.23	    inference('sup-', [status(thm)], ['7', '10'])).
0.00/0.23	tff('12', plain,
0.00/0.23	    ![X0, X1]:
0.00/0.23	      (~ in(sk_Y1, powerset(X0))
0.00/0.23	       | subset(X1, sk_Y1)
0.00/0.23	       | ~ in(X1, powerset(X0))
0.00/0.23	       | ~ in(sk_Xx(sk_Y1, X1, X0), sk_X1)
0.00/0.23	       | ~ in(sk_Xx(sk_Y1, X1, X0), sk_A2)),
0.00/0.23	    inference('simplify', [status(thm)], ['11'])).
0.00/0.23	tff('13', plain,
0.00/0.23	    ![X0]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ in(sk_X1, powerset(X0))
0.00/0.23	       | subset(sk_X1, sk_Y1)
0.00/0.23	       | ~ in(sk_Y1, powerset(X0))
0.00/0.23	       | ~ in(sk_Xx(sk_Y1, sk_X1, X0), sk_A2)
0.00/0.23	       | ~ in(sk_X1, powerset(X0))
0.00/0.23	       | subset(sk_X1, sk_Y1)
0.00/0.23	       | ~ in(sk_Y1, powerset(X0))),
0.00/0.23	    inference('sup-', [status(thm)], ['6', '12'])).
0.00/0.23	tff('14', plain,
0.00/0.23	    ![X0]:
0.00/0.23	      (~ in(sk_Xx(sk_Y1, sk_X1, X0), sk_A2)
0.00/0.23	       | ~ in(sk_Y1, powerset(X0))
0.00/0.23	       | subset(sk_X1, sk_Y1)
0.00/0.23	       | ~ in(sk_X1, powerset(X0))),
0.00/0.23	    inference('simplify', [status(thm)], ['13'])).
0.00/0.23	tff(powersetI1, axiom,
0.00/0.23	  (powersetI1 <=> (![A,B]: (subset(B,A) => in(B,powerset(A)))))).
0.00/0.23	tff('15', plain,
0.00/0.23	    ![X0, X1]: (~ subset(X0, X1) | in(X0, powerset(X1)) | ~ powersetI1),
0.00/0.23	    inference('cnf', [status(esa)], [powersetI1])).
0.00/0.23	tff('16', plain, powersetI1, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('17', plain,
0.00/0.23	    ![X0, X1]: (~ subset(X0, X1) | in(X0, powerset(X1)) | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['15', '16'])).
0.00/0.23	tff('18', plain, ![X0, X1]: (in(X0, powerset(X1)) | ~ subset(X0, X1)),
0.00/0.23	    inference('simplify', [status(thm)], ['17'])).
0.00/0.23	tff('19', plain, ~ in(sk_X1, powerset(sk_Y1)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('20', plain, (~ $true | ~ subset(sk_X1, sk_Y1)),
0.00/0.23	    inference('sup-', [status(thm)], ['18', '19'])).
0.00/0.23	tff('21', plain, ~ subset(sk_X1, sk_Y1),
0.00/0.23	    inference('simplify', [status(thm)], ['20'])).
0.00/0.23	tff('22', plain,
0.00/0.23	    ![X0]:
0.00/0.23	      (~ in(sk_X1, powerset(X0))
0.00/0.23	       | ~ in(sk_Y1, powerset(X0))
0.00/0.23	       | ~ in(sk_Xx(sk_Y1, sk_X1, X0), sk_A2)),
0.00/0.23	    inference('clc', [status(thm)], ['14', '21'])).
0.00/0.23	tff('23', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | ~ in(sk_X1, powerset(sk_A2))
0.00/0.23	     | subset(sk_X1, sk_Y1)
0.00/0.23	     | ~ in(sk_Y1, powerset(sk_A2))
0.00/0.23	     | ~ in(sk_Y1, powerset(sk_A2))
0.00/0.23	     | ~ in(sk_X1, powerset(sk_A2))),
0.00/0.23	    inference('sup-', [status(thm)], ['3', '22'])).
0.00/0.23	tff('24', plain, in(sk_X1, powerset(sk_A2)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('25', plain, in(sk_Y1, powerset(sk_A2)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('26', plain,
0.00/0.23	    (~ $true | ~ $true | subset(sk_X1, sk_Y1) | ~ $true | ~ $true | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['23', '24', '25', '25', '24'])).
0.00/0.23	tff('27', plain, subset(sk_X1, sk_Y1),
0.00/0.23	    inference('simplify', [status(thm)], ['26'])).
0.00/0.23	tff('28', plain, ~ $true, inference('sup-', [status(thm)], ['27', '21'])).
0.00/0.23	tff('29', plain, $false, inference('simplify', [status(thm)], ['28'])).
0.00/0.23	
0.00/0.23	% SZS output end Refutation
0.00/0.23	EOF
