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   : n187.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 17:17:39 CST 2018
0.00/0.21	% done 55 iterations in 0.019s
0.00/0.21	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.21	% SZS output start Refutation
0.00/0.21	tff(inIntersectImpInIntersectUnions, conjecture,
0.00/0.21	  (binintersectI =>
0.00/0.21	   (inIntersectImpInUnion =>
0.00/0.21	    (inIntersectImpInUnion2 =>
0.00/0.21	     (![A,X]:
0.00/0.21	        (in(X,powerset(A)) =>
0.00/0.21	         (![Y]:
0.00/0.21	            (in(Y,powerset(A)) =>
0.00/0.21	             (![Z]:
0.00/0.21	                (in(Z,powerset(A)) =>
0.00/0.21	                 (![Xx]:
0.00/0.21	                    (in(Xx,A) =>
0.00/0.21	                     (in(Xx,binintersect(X,Y)) =>
0.00/0.21	                      in(Xx,binintersect(binunion(X,Z),binunion(Y,Z)))))))))))))))).
0.00/0.21	tff(zf_stmt_0, negated_conjecture,
0.00/0.21	  (~
0.00/0.21	    (binintersectI =>
0.00/0.21	     (inIntersectImpInUnion =>
0.00/0.21	      (inIntersectImpInUnion2 =>
0.00/0.21	       (![A,X]:
0.00/0.21	          (in(X,powerset(A)) =>
0.00/0.21	           (![Y]:
0.00/0.21	              (in(Y,powerset(A)) =>
0.00/0.21	               (![Z]:
0.00/0.21	                  (in(Z,powerset(A)) =>
0.00/0.21	                   (![Xx]:
0.00/0.21	                      (in(Xx,A) =>
0.00/0.21	                       (in(Xx,binintersect(X,Y)) =>
0.00/0.21	                        in(Xx,binintersect(binunion(X,Z),binunion(Y,Z))))))))))))))))).
0.00/0.21	tff('0', plain, in(sk_Xx3, binintersect(sk_X2, sk_Y2)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('1', plain, in(sk_Y2, powerset(sk_A3)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff(inIntersectImpInUnion, axiom,
0.00/0.21	  (inIntersectImpInUnion <=>
0.00/0.21	   (![A,X]:
0.00/0.21	      (in(X,powerset(A)) =>
0.00/0.21	       (![Y]:
0.00/0.21	          (in(Y,powerset(A)) =>
0.00/0.21	           (![Z]:
0.00/0.21	              (in(Z,powerset(A)) =>
0.00/0.21	               (![Xx]:
0.00/0.21	                  (in(Xx,A) =>
0.00/0.21	                   (in(Xx,binintersect(X,Y)) => in(Xx,binunion(X,Z))))))))))))).
0.00/0.21	tff('2', plain,
0.00/0.21	    ![X3, X4, X5, X6, X7]:
0.00/0.21	      (~ in(X3, powerset(X4))
0.00/0.21	       | ~ in(X5, powerset(X4))
0.00/0.21	       | ~ in(X6, binintersect(X3, X7))
0.00/0.21	       | in(X6, binunion(X3, X5))
0.00/0.21	       | ~ in(X6, X4)
0.00/0.21	       | ~ in(X7, powerset(X4))
0.00/0.21	       | ~ inIntersectImpInUnion),
0.00/0.21	    inference('cnf', [status(esa)], [inIntersectImpInUnion])).
0.00/0.21	tff('3', plain, inIntersectImpInUnion,
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('4', plain,
0.00/0.21	    ![X3, X4, X5, X6, X7]:
0.00/0.21	      (~ in(X3, powerset(X4))
0.00/0.21	       | ~ in(X5, powerset(X4))
0.00/0.21	       | ~ in(X6, binintersect(X3, X7))
0.00/0.21	       | in(X6, binunion(X3, X5))
0.00/0.21	       | ~ in(X6, X4)
0.00/0.21	       | ~ in(X7, powerset(X4))
0.00/0.21	       | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['2', '3'])).
0.00/0.21	tff('5', plain,
0.00/0.21	    ![X3, X4, X5, X6, X7]:
0.00/0.21	      (~ in(X7, powerset(X4))
0.00/0.21	       | ~ in(X6, X4)
0.00/0.21	       | in(X6, binunion(X3, X5))
0.00/0.21	       | ~ in(X6, binintersect(X3, X7))
0.00/0.21	       | ~ in(X5, powerset(X4))
0.00/0.21	       | ~ in(X3, powerset(X4))),
0.00/0.21	    inference('simplify', [status(thm)], ['4'])).
0.00/0.21	tff('6', plain,
0.00/0.21	    ![X0, X1, X2]:
0.00/0.21	      (~ $true
0.00/0.21	       | ~ in(X0, powerset(sk_A3))
0.00/0.21	       | ~ in(X1, powerset(sk_A3))
0.00/0.21	       | ~ in(X2, binintersect(X0, sk_Y2))
0.00/0.21	       | in(X2, binunion(X0, X1))
0.00/0.21	       | ~ in(X2, sk_A3)),
0.00/0.21	    inference('sup-', [status(thm)], ['1', '5'])).
0.00/0.21	tff('7', plain,
0.00/0.21	    ![X0, X1, X2]:
0.00/0.21	      (~ in(X2, sk_A3)
0.00/0.21	       | in(X2, binunion(X0, X1))
0.00/0.21	       | ~ in(X2, binintersect(X0, sk_Y2))
0.00/0.21	       | ~ in(X1, powerset(sk_A3))
0.00/0.21	       | ~ in(X0, powerset(sk_A3))),
0.00/0.21	    inference('simplify', [status(thm)], ['6'])).
0.00/0.21	tff('8', plain,
0.00/0.21	    ![X0]:
0.00/0.21	      (~ $true
0.00/0.21	       | ~ in(sk_X2, powerset(sk_A3))
0.00/0.21	       | ~ in(X0, powerset(sk_A3))
0.00/0.21	       | in(sk_Xx3, binunion(sk_X2, X0))
0.00/0.21	       | ~ in(sk_Xx3, sk_A3)),
0.00/0.21	    inference('sup-', [status(thm)], ['0', '7'])).
0.00/0.21	tff('9', plain, in(sk_X2, powerset(sk_A3)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('10', plain, in(sk_Xx3, sk_A3),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('11', plain,
0.00/0.21	    ![X0]:
0.00/0.21	      (~ $true
0.00/0.21	       | ~ $true
0.00/0.21	       | ~ in(X0, powerset(sk_A3))
0.00/0.21	       | in(sk_Xx3, binunion(sk_X2, X0))
0.00/0.21	       | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['8', '9', '10'])).
0.00/0.21	tff('12', plain,
0.00/0.21	    ![X0]: (in(sk_Xx3, binunion(sk_X2, X0)) | ~ in(X0, powerset(sk_A3))),
0.00/0.21	    inference('simplify', [status(thm)], ['11'])).
0.00/0.21	tff(inIntersectImpInUnion2, axiom,
0.00/0.21	  (inIntersectImpInUnion2 <=>
0.00/0.21	   (![A,X]:
0.00/0.21	      (in(X,powerset(A)) =>
0.00/0.21	       (![Y]:
0.00/0.21	          (in(Y,powerset(A)) =>
0.00/0.21	           (![Z]:
0.00/0.21	              (in(Z,powerset(A)) =>
0.00/0.21	               (![Xx]:
0.00/0.21	                  (in(Xx,A) =>
0.00/0.21	                   (in(Xx,binintersect(X,Y)) => in(Xx,binunion(Y,Z))))))))))))).
0.00/0.21	tff('13', plain,
0.00/0.21	    ![X8, X9, X10, X11, X12]:
0.00/0.21	      (~ in(X8, powerset(X9))
0.00/0.21	       | ~ in(X10, powerset(X9))
0.00/0.21	       | ~ in(X11, binintersect(X8, X12))
0.00/0.21	       | in(X11, binunion(X12, X10))
0.00/0.21	       | ~ in(X11, X9)
0.00/0.21	       | ~ in(X12, powerset(X9))
0.00/0.21	       | ~ inIntersectImpInUnion2),
0.00/0.21	    inference('cnf', [status(esa)], [inIntersectImpInUnion2])).
0.00/0.21	tff('14', plain, inIntersectImpInUnion2,
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('15', plain,
0.00/0.21	    ![X8, X9, X10, X11, X12]:
0.00/0.21	      (~ in(X8, powerset(X9))
0.00/0.21	       | ~ in(X10, powerset(X9))
0.00/0.21	       | ~ in(X11, binintersect(X8, X12))
0.00/0.21	       | in(X11, binunion(X12, X10))
0.00/0.21	       | ~ in(X11, X9)
0.00/0.21	       | ~ in(X12, powerset(X9))
0.00/0.21	       | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['13', '14'])).
0.00/0.21	tff('16', plain,
0.00/0.21	    ![X8, X9, X10, X11, X12]:
0.00/0.21	      (~ in(X12, powerset(X9))
0.00/0.21	       | ~ in(X11, X9)
0.00/0.21	       | in(X11, binunion(X12, X10))
0.00/0.21	       | ~ in(X11, binintersect(X8, X12))
0.00/0.21	       | ~ in(X10, powerset(X9))
0.00/0.21	       | ~ in(X8, powerset(X9))),
0.00/0.21	    inference('simplify', [status(thm)], ['15'])).
0.00/0.21	tff('17', plain,
0.00/0.21	    ![X0, X1, X2]:
0.00/0.21	      (~ $true
0.00/0.21	       | ~ in(X0, powerset(sk_A3))
0.00/0.21	       | ~ in(X1, powerset(sk_A3))
0.00/0.21	       | ~ in(X2, binintersect(X0, sk_Y2))
0.00/0.21	       | in(X2, binunion(sk_Y2, X1))
0.00/0.21	       | ~ in(X2, sk_A3)),
0.00/0.21	    inference('sup-', [status(thm)], ['1', '16'])).
0.00/0.21	tff('18', plain,
0.00/0.21	    ![X0, X1, X2]:
0.00/0.21	      (~ in(X2, sk_A3)
0.00/0.21	       | in(X2, binunion(sk_Y2, X1))
0.00/0.21	       | ~ in(X2, binintersect(X0, sk_Y2))
0.00/0.21	       | ~ in(X1, powerset(sk_A3))
0.00/0.21	       | ~ in(X0, powerset(sk_A3))),
0.00/0.21	    inference('simplify', [status(thm)], ['17'])).
0.00/0.21	tff('19', plain,
0.00/0.21	    ![X0]:
0.00/0.21	      (~ $true
0.00/0.21	       | ~ in(sk_X2, powerset(sk_A3))
0.00/0.21	       | ~ in(X0, powerset(sk_A3))
0.00/0.21	       | in(sk_Xx3, binunion(sk_Y2, X0))
0.00/0.21	       | ~ in(sk_Xx3, sk_A3)),
0.00/0.21	    inference('sup-', [status(thm)], ['0', '18'])).
0.00/0.21	tff('20', plain,
0.00/0.21	    ![X0]:
0.00/0.21	      (~ $true
0.00/0.21	       | ~ $true
0.00/0.21	       | ~ in(X0, powerset(sk_A3))
0.00/0.21	       | in(sk_Xx3, binunion(sk_Y2, X0))
0.00/0.21	       | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['19', '9', '10'])).
0.00/0.21	tff('21', plain,
0.00/0.21	    ![X0]: (in(sk_Xx3, binunion(sk_Y2, X0)) | ~ in(X0, powerset(sk_A3))),
0.00/0.21	    inference('simplify', [status(thm)], ['20'])).
0.00/0.21	tff(binintersectI, axiom,
0.00/0.21	  (binintersectI <=>
0.00/0.21	   (![A,B,Xx]: (in(Xx,A) => (in(Xx,B) => in(Xx,binintersect(A,B))))))).
0.00/0.21	tff('22', plain,
0.00/0.21	    ![X0, X1, X2]:
0.00/0.21	      (~ in(X0, X1)
0.00/0.21	       | in(X0, binintersect(X1, X2))
0.00/0.21	       | ~ in(X0, X2)
0.00/0.21	       | ~ binintersectI),
0.00/0.21	    inference('cnf', [status(esa)], [binintersectI])).
0.00/0.21	tff('23', plain, binintersectI, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('24', plain,
0.00/0.21	    ![X0, X1, X2]:
0.00/0.21	      (~ in(X0, X1) | in(X0, binintersect(X1, X2)) | ~ in(X0, X2) | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['22', '23'])).
0.00/0.21	tff('25', plain,
0.00/0.21	    ![X0, X1, X2]:
0.00/0.21	      (~ in(X0, X2) | in(X0, binintersect(X1, X2)) | ~ in(X0, X1)),
0.00/0.21	    inference('simplify', [status(thm)], ['24'])).
0.00/0.21	tff('26', plain,
0.00/0.21	    ~ in(sk_Xx3, 
0.00/0.21	        binintersect(binunion(sk_X2, sk_Z2), binunion(sk_Y2, sk_Z2))),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('27', plain,
0.00/0.21	    (~ $true
0.00/0.21	     | ~ in(sk_Xx3, binunion(sk_X2, sk_Z2))
0.00/0.21	     | ~ in(sk_Xx3, binunion(sk_Y2, sk_Z2))),
0.00/0.21	    inference('sup-', [status(thm)], ['25', '26'])).
0.00/0.21	tff('28', plain,
0.00/0.21	    (~ in(sk_Xx3, binunion(sk_Y2, sk_Z2))
0.00/0.21	     | ~ in(sk_Xx3, binunion(sk_X2, sk_Z2))),
0.00/0.21	    inference('simplify', [status(thm)], ['27'])).
0.00/0.21	tff('29', plain,
0.00/0.21	    (~ $true
0.00/0.21	     | ~ in(sk_Z2, powerset(sk_A3))
0.00/0.21	     | ~ in(sk_Xx3, binunion(sk_X2, sk_Z2))),
0.00/0.21	    inference('sup-', [status(thm)], ['21', '28'])).
0.00/0.21	tff('30', plain, in(sk_Z2, powerset(sk_A3)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('31', plain, (~ $true | ~ $true | ~ in(sk_Xx3, binunion(sk_X2, sk_Z2))),
0.00/0.21	    inference('demod', [status(thm)], ['29', '30'])).
0.00/0.21	tff('32', plain, ~ in(sk_Xx3, binunion(sk_X2, sk_Z2)),
0.00/0.21	    inference('simplify', [status(thm)], ['31'])).
0.00/0.21	tff('33', plain, (~ $true | ~ in(sk_Z2, powerset(sk_A3))),
0.00/0.21	    inference('sup-', [status(thm)], ['12', '32'])).
0.00/0.21	tff('34', plain, (~ $true | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['33', '30'])).
0.00/0.21	tff('35', plain, $false, inference('simplify', [status(thm)], ['34'])).
0.00/0.21	
0.00/0.21	% SZS output end Refutation
0.00/0.21	EOF
