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_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	  --ho-purify ext \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --restrict-hidden-sup-at-vars \
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   : n072.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 17:16:40 CST 2018
61.83/62.04	% done 1012 iterations in 61.842s
61.83/62.04	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
61.83/62.04	% SZS output start Refutation
61.83/62.04	tff(binintersectT_lem, axiom,
61.83/62.04	  (binintersectT_lem <=>
61.83/62.04	   (![A,X]:
61.83/62.04	      (in(X,powerset(A)) =>
61.83/62.04	       (![Y]: (in(Y,powerset(A)) => in(binintersect(X,Y),powerset(A)))))))).
61.83/62.04	tff('0', plain,
61.83/62.04	    ![X0, X1, X2]:
61.83/62.04	      (~ in(X0, powerset(X1))
61.83/62.04	       | in(binintersect(X0, X2), powerset(X1))
61.83/62.04	       | ~ in(X2, powerset(X1))
61.83/62.04	       | ~ binintersectT_lem),
61.83/62.04	    inference('cnf', [status(esa)], [binintersectT_lem])).
61.83/62.04	tff(complementSubsetComplementIntersect, conjecture,
61.83/62.04	  (binintersectT_lem =>
61.83/62.04	   (complementT_lem =>
61.83/62.04	    (subsetTI =>
61.83/62.04	     (complementImpComplementIntersect =>
61.83/62.04	      (![A,X]:
61.83/62.04	         (in(X,powerset(A)) =>
61.83/62.04	          (![Y]:
61.83/62.04	             (in(Y,powerset(A)) =>
61.83/62.04	              subset(setminus(A,X),setminus(A,binintersect(X,Y)))))))))))).
61.83/62.04	tff(zf_stmt_0, negated_conjecture,
61.83/62.04	  (~
61.83/62.04	    (binintersectT_lem =>
61.83/62.04	     (complementT_lem =>
61.83/62.04	      (subsetTI =>
61.83/62.04	       (complementImpComplementIntersect =>
61.83/62.04	        (![A,X]:
61.83/62.04	           (in(X,powerset(A)) =>
61.83/62.04	            (![Y]:
61.83/62.04	               (in(Y,powerset(A)) =>
61.83/62.04	                subset(setminus(A,X),setminus(A,binintersect(X,Y))))))))))))).
61.87/62.04	tff('1', plain, binintersectT_lem,
61.87/62.04	    inference('cnf', [status(esa)], [zf_stmt_0])).
61.87/62.04	tff('2', plain,
61.87/62.04	    ![X0, X1, X2]:
61.87/62.04	      (~ in(X0, powerset(X1))
61.87/62.04	       | in(binintersect(X0, X2), powerset(X1))
61.87/62.04	       | ~ in(X2, powerset(X1))
61.87/62.04	       | ~ $true),
61.87/62.04	    inference('demod', [status(thm)], ['0', '1'])).
61.87/62.04	tff('3', plain,
61.87/62.04	    ![X0, X1, X2]:
61.87/62.04	      (~ in(X2, powerset(X1))
61.87/62.04	       | in(binintersect(X0, X2), powerset(X1))
61.87/62.04	       | ~ in(X0, powerset(X1))),
61.87/62.04	    inference('simplify', [status(thm)], ['2'])).
61.87/62.04	tff(complementT_lem, axiom,
61.87/62.04	  (complementT_lem <=>
61.87/62.04	   (![A,X]: (in(X,powerset(A)) => in(setminus(A,X),powerset(A)))))).
61.87/62.04	tff('4', plain,
61.87/62.04	    ![X3, X4]:
61.87/62.04	      (~ in(X3, powerset(X4))
61.87/62.04	       | in(setminus(X4, X3), powerset(X4))
61.87/62.04	       | ~ complementT_lem),
61.87/62.04	    inference('cnf', [status(esa)], [complementT_lem])).
61.87/62.04	tff('5', plain, complementT_lem, inference('cnf', [status(esa)], [zf_stmt_0])).
61.87/62.04	tff('6', plain,
61.87/62.04	    ![X3, X4]:
61.87/62.04	      (~ in(X3, powerset(X4)) | in(setminus(X4, X3), powerset(X4)) | ~ $true),
61.87/62.04	    inference('demod', [status(thm)], ['4', '5'])).
61.87/62.04	tff('7', plain,
61.87/62.04	    ![X3, X4]: (in(setminus(X4, X3), powerset(X4)) | ~ in(X3, powerset(X4))),
61.87/62.04	    inference('simplify', [status(thm)], ['6'])).
61.87/62.04	tff(subsetTI, axiom,
61.87/62.04	  (subsetTI <=>
61.87/62.04	   (![A,X]:
61.87/62.04	      (in(X,powerset(A)) =>
61.87/62.04	       (![Y]:
61.87/62.04	          (in(Y,powerset(A)) =>
61.87/62.04	           ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => subset(X,Y)))))))).
61.87/62.04	tff('8', plain,
61.87/62.04	    ![X5, X6, X7]:
61.87/62.04	      (~ in(X5, powerset(X6))
61.87/62.04	       | in(sk_Xx(X7, X5, X6), X6)
61.87/62.04	       | subset(X5, X7)
61.87/62.04	       | ~ in(X7, powerset(X6))
61.87/62.04	       | ~ subsetTI),
61.87/62.04	    inference('cnf', [status(esa)], [subsetTI])).
61.87/62.04	tff('9', plain, subsetTI, inference('cnf', [status(esa)], [zf_stmt_0])).
61.87/62.04	tff('10', plain,
61.87/62.04	    ![X5, X6, X7]:
61.87/62.04	      (~ in(X5, powerset(X6))
61.87/62.04	       | in(sk_Xx(X7, X5, X6), X6)
61.87/62.04	       | subset(X5, X7)
61.87/62.04	       | ~ in(X7, powerset(X6))
61.87/62.04	       | ~ $true),
61.87/62.04	    inference('demod', [status(thm)], ['8', '9'])).
61.87/62.04	tff('11', plain,
61.87/62.04	    ![X5, X6, X7]:
61.87/62.04	      (~ in(X7, powerset(X6))
61.87/62.04	       | subset(X5, X7)
61.87/62.04	       | in(sk_Xx(X7, X5, X6), X6)
61.87/62.04	       | ~ in(X5, powerset(X6))),
61.87/62.04	    inference('simplify', [status(thm)], ['10'])).
61.87/62.04	tff('12', plain,
61.87/62.04	    ![X5, X6, X7]:
61.87/62.04	      (~ in(X5, powerset(X6))
61.87/62.04	       | in(sk_Xx(X7, X5, X6), X5)
61.87/62.04	       | subset(X5, X7)
61.87/62.04	       | ~ in(X7, powerset(X6))
61.87/62.04	       | ~ subsetTI),
61.87/62.04	    inference('cnf', [status(esa)], [subsetTI])).
61.87/62.04	tff('13', plain,
61.87/62.04	    ![X5, X6, X7]:
61.87/62.04	      (~ in(X5, powerset(X6))
61.87/62.04	       | in(sk_Xx(X7, X5, X6), X5)
61.87/62.04	       | subset(X5, X7)
61.87/62.04	       | ~ in(X7, powerset(X6))
61.87/62.04	       | ~ $true),
61.87/62.04	    inference('demod', [status(thm)], ['12', '9'])).
61.87/62.04	tff('14', plain,
61.87/62.04	    ![X5, X6, X7]:
61.87/62.04	      (~ in(X7, powerset(X6))
61.87/62.04	       | subset(X5, X7)
61.87/62.04	       | in(sk_Xx(X7, X5, X6), X5)
61.87/62.04	       | ~ in(X5, powerset(X6))),
61.87/62.04	    inference('simplify', [status(thm)], ['13'])).
61.87/62.04	tff(complementImpComplementIntersect, axiom,
61.87/62.04	  (complementImpComplementIntersect <=>
61.87/62.04	   (![A,X]:
61.87/62.04	      (in(X,powerset(A)) =>
61.87/62.04	       (![Y]:
61.87/62.04	          (in(Y,powerset(A)) =>
61.87/62.04	           (![Xx]:
61.87/62.04	              (in(Xx,A) =>
61.87/62.04	               (in(Xx,setminus(A,X)) => in(Xx,setminus(A,binintersect(X,Y)))))))))))).
61.87/62.04	tff('15', plain,
61.87/62.04	    ![X9, X10, X11, X12]:
61.87/62.04	      (~ in(X9, powerset(X10))
61.87/62.04	       | ~ in(X11, X10)
61.87/62.04	       | in(X11, setminus(X10, binintersect(X9, X12)))
61.87/62.04	       | ~ in(X11, setminus(X10, X9))
61.87/62.04	       | ~ in(X12, powerset(X10))
61.87/62.04	       | ~ complementImpComplementIntersect),
61.87/62.04	    inference('cnf', [status(esa)], [complementImpComplementIntersect])).
61.87/62.04	tff('16', plain, complementImpComplementIntersect,
61.87/62.04	    inference('cnf', [status(esa)], [zf_stmt_0])).
61.87/62.04	tff('17', plain,
61.87/62.04	    ![X9, X10, X11, X12]:
61.87/62.04	      (~ in(X9, powerset(X10))
61.87/62.04	       | ~ in(X11, X10)
61.87/62.04	       | in(X11, setminus(X10, binintersect(X9, X12)))
61.87/62.04	       | ~ in(X11, setminus(X10, X9))
61.87/62.04	       | ~ in(X12, powerset(X10))
61.87/62.04	       | ~ $true),
61.87/62.04	    inference('demod', [status(thm)], ['15', '16'])).
61.87/62.04	tff('18', plain,
61.87/62.04	    ![X9, X10, X11, X12]:
61.87/62.04	      (~ in(X12, powerset(X10))
61.87/62.04	       | ~ in(X11, setminus(X10, X9))
61.87/62.04	       | in(X11, setminus(X10, binintersect(X9, X12)))
61.87/62.04	       | ~ in(X11, X10)
61.87/62.04	       | ~ in(X9, powerset(X10))),
61.87/62.04	    inference('simplify', [status(thm)], ['17'])).
61.87/62.04	tff('19', plain,
61.87/62.04	    ![X5, X6, X7]:
61.87/62.04	      (~ in(X5, powerset(X6))
61.87/62.04	       | ~ in(sk_Xx(X7, X5, X6), X7)
61.87/62.04	       | subset(X5, X7)
61.87/62.04	       | ~ in(X7, powerset(X6))
61.87/62.04	       | ~ subsetTI),
61.87/62.04	    inference('cnf', [status(esa)], [subsetTI])).
61.87/62.04	tff('20', plain,
61.87/62.04	    ![X5, X6, X7]:
61.87/62.04	      (~ in(X5, powerset(X6))
61.87/62.04	       | ~ in(sk_Xx(X7, X5, X6), X7)
61.87/62.04	       | subset(X5, X7)
61.87/62.04	       | ~ in(X7, powerset(X6))
61.87/62.04	       | ~ $true),
61.87/62.04	    inference('demod', [status(thm)], ['19', '9'])).
61.87/62.04	tff('21', plain,
61.87/62.04	    ![X5, X6, X7]:
61.87/62.04	      (~ in(X7, powerset(X6))
61.87/62.04	       | subset(X5, X7)
61.87/62.04	       | ~ in(sk_Xx(X7, X5, X6), X7)
61.87/62.04	       | ~ in(X5, powerset(X6))),
61.87/62.04	    inference('simplify', [status(thm)], ['20'])).
61.87/62.04	tff('22', plain,
61.87/62.04	    ![X0, X1, X2, X3, X4]:
61.87/62.04	      (~ $true
61.87/62.04	       | ~ in(X1, powerset(X2))
61.87/62.04	       | ~ in(sk_Xx(setminus(X2, binintersect(X1, X0)), X4, X3), X2)
61.87/62.04	       | ~ in(sk_Xx(setminus(X2, binintersect(X1, X0)), X4, X3), 
61.87/62.04	             setminus(X2, X1))
61.87/62.04	       | ~ in(X0, powerset(X2))
61.87/62.04	       | ~ in(X4, powerset(X3))
61.87/62.04	       | subset(X4, setminus(X2, binintersect(X1, X0)))
61.87/62.04	       | ~ in(setminus(X2, binintersect(X1, X0)), powerset(X3))),
61.87/62.04	    inference('sup-', [status(thm)], ['18', '21'])).
61.87/62.04	tff('23', plain,
61.87/62.04	    ![X0, X1, X2, X3, X4]:
61.87/62.04	      (~ in(setminus(X2, binintersect(X1, X0)), powerset(X3))
61.87/62.04	       | subset(X4, setminus(X2, binintersect(X1, X0)))
61.87/62.04	       | ~ in(X4, powerset(X3))
61.87/62.04	       | ~ in(X0, powerset(X2))
61.87/62.04	       | ~ in(sk_Xx(setminus(X2, binintersect(X1, X0)), X4, X3), 
61.87/62.04	             setminus(X2, X1))
61.87/62.04	       | ~ in(sk_Xx(setminus(X2, binintersect(X1, X0)), X4, X3), X2)
61.87/62.04	       | ~ in(X1, powerset(X2))),
61.87/62.04	    inference('simplify', [status(thm)], ['22'])).
61.87/62.04	tff('24', plain,
61.87/62.04	    ![X0, X1, X2, X3]:
61.87/62.04	      (~ $true
61.87/62.04	       | ~ in(setminus(X1, X0), powerset(X2))
61.87/62.04	       | subset(setminus(X1, X0), setminus(X1, binintersect(X0, X3)))
61.87/62.04	       | ~ in(setminus(X1, binintersect(X0, X3)), powerset(X2))
61.87/62.04	       | ~ in(X0, powerset(X1))
61.87/62.04	       | ~ in(
61.87/62.04	             sk_Xx(setminus(X1, binintersect(X0, X3)), setminus(X1, X0), X2), 
61.87/62.04	             X1)
61.87/62.04	       | ~ in(X3, powerset(X1))
61.87/62.04	       | ~ in(setminus(X1, X0), powerset(X2))
61.87/62.04	       | subset(setminus(X1, X0), setminus(X1, binintersect(X0, X3)))
61.87/62.04	       | ~ in(setminus(X1, binintersect(X0, X3)), powerset(X2))),
61.87/62.04	    inference('sup-', [status(thm)], ['14', '23'])).
61.87/62.04	tff('25', plain,
61.87/62.04	    ![X0, X1, X2, X3]:
61.87/62.04	      (~ in(X3, powerset(X1))
61.87/62.04	       | ~ in(
61.87/62.04	             sk_Xx(setminus(X1, binintersect(X0, X3)), setminus(X1, X0), X2), 
61.87/62.04	             X1)
61.87/62.04	       | ~ in(X0, powerset(X1))
61.87/62.04	       | ~ in(setminus(X1, binintersect(X0, X3)), powerset(X2))
61.87/62.04	       | subset(setminus(X1, X0), setminus(X1, binintersect(X0, X3)))
61.87/62.04	       | ~ in(setminus(X1, X0), powerset(X2))),
61.87/62.04	    inference('simplify', [status(thm)], ['24'])).
61.87/62.04	tff('26', plain,
61.87/62.04	    ![X0, X1, X2]:
61.87/62.04	      (~ $true
61.87/62.04	       | ~ in(setminus(X0, X1), powerset(X0))
61.87/62.04	       | subset(setminus(X0, X1), setminus(X0, binintersect(X1, X2)))
61.87/62.04	       | ~ in(setminus(X0, binintersect(X1, X2)), powerset(X0))
61.87/62.04	       | ~ in(setminus(X0, X1), powerset(X0))
61.87/62.04	       | subset(setminus(X0, X1), setminus(X0, binintersect(X1, X2)))
61.87/62.04	       | ~ in(setminus(X0, binintersect(X1, X2)), powerset(X0))
61.87/62.04	       | ~ in(X1, powerset(X0))
61.87/62.04	       | ~ in(X2, powerset(X0))),
61.87/62.04	    inference('sup-', [status(thm)], ['11', '25'])).
61.87/62.04	tff('27', plain,
61.87/62.04	    ![X0, X1, X2]:
61.87/62.04	      (~ in(X2, powerset(X0))
61.87/62.04	       | ~ in(X1, powerset(X0))
61.87/62.04	       | ~ in(setminus(X0, binintersect(X1, X2)), powerset(X0))
61.87/62.04	       | subset(setminus(X0, X1), setminus(X0, binintersect(X1, X2)))
61.87/62.04	       | ~ in(setminus(X0, X1), powerset(X0))),
61.87/62.04	    inference('simplify', [status(thm)], ['26'])).
61.87/62.04	tff('28', plain,
61.87/62.04	    ![X0, X1, X2]:
61.87/62.04	      (subset(setminus(X0, X1), setminus(X0, binintersect(X1, X2)))
61.87/62.04	       | ~ in(setminus(X0, binintersect(X1, X2)), powerset(X0))
61.87/62.04	       | ~ in(X1, powerset(X0))
61.87/62.04	       | ~ in(X2, powerset(X0))),
61.87/62.04	    inference('clc', [status(thm)], ['27', '7'])).
61.87/62.04	tff('29', plain,
61.87/62.04	    ~ subset(setminus(sk_A4, sk_X4), 
61.87/62.04	        setminus(sk_A4, binintersect(sk_X4, sk_Y3))),
61.87/62.04	    inference('cnf', [status(esa)], [zf_stmt_0])).
61.87/62.04	tff('30', plain,
61.87/62.04	    (~ $true
61.87/62.04	     | ~ in(sk_Y3, powerset(sk_A4))
61.87/62.04	     | ~ in(sk_X4, powerset(sk_A4))
61.87/62.04	     | ~ in(setminus(sk_A4, binintersect(sk_X4, sk_Y3)), powerset(sk_A4))),
61.87/62.04	    inference('sup-', [status(thm)], ['28', '29'])).
61.87/62.04	tff('31', plain, in(sk_Y3, powerset(sk_A4)),
61.87/62.04	    inference('cnf', [status(esa)], [zf_stmt_0])).
61.87/62.04	tff('32', plain, in(sk_X4, powerset(sk_A4)),
61.87/62.04	    inference('cnf', [status(esa)], [zf_stmt_0])).
61.87/62.04	tff('33', plain,
61.87/62.04	    (~ $true
61.87/62.04	     | ~ $true
61.87/62.04	     | ~ $true
61.87/62.04	     | ~ in(setminus(sk_A4, binintersect(sk_X4, sk_Y3)), powerset(sk_A4))),
61.87/62.04	    inference('demod', [status(thm)], ['30', '31', '32'])).
61.87/62.04	tff('34', plain,
61.87/62.04	    ~ in(setminus(sk_A4, binintersect(sk_X4, sk_Y3)), powerset(sk_A4)),
61.87/62.04	    inference('simplify', [status(thm)], ['33'])).
61.87/62.04	tff('35', plain,
61.87/62.04	    (~ $true | ~ in(binintersect(sk_X4, sk_Y3), powerset(sk_A4))),
61.87/62.04	    inference('sup-', [status(thm)], ['7', '34'])).
61.87/62.04	tff('36', plain, ~ in(binintersect(sk_X4, sk_Y3), powerset(sk_A4)),
61.87/62.04	    inference('simplify', [status(thm)], ['35'])).
61.87/62.04	tff('37', plain,
61.87/62.04	    (~ $true | ~ in(sk_X4, powerset(sk_A4)) | ~ in(sk_Y3, powerset(sk_A4))),
61.87/62.04	    inference('sup-', [status(thm)], ['3', '36'])).
61.87/62.04	tff('38', plain, (~ $true | ~ $true | ~ $true),
61.87/62.04	    inference('demod', [status(thm)], ['37', '32', '31'])).
61.87/62.04	tff('39', plain, $false, inference('simplify', [status(thm)], ['38'])).
61.87/62.04	
61.87/62.04	% SZS output end Refutation
61.87/62.05	EOF
