0.00/0.01	% File    : /export/starexec/sandbox2/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   : n092.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 17:20:24 CST 2018
0.00/0.21	% done 16 iterations in 0.006s
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(inIntersectImpInUnion, conjecture,
0.00/0.21	  (binunionIL =>
0.00/0.21	   (binintersectEL =>
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(zf_stmt_0, negated_conjecture,
0.00/0.21	  (~
0.00/0.21	    (binunionIL =>
0.00/0.21	     (binintersectEL =>
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('0', plain, in(sk_Xx2, binintersect(sk_X, sk_Y)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff(binintersectEL, axiom,
0.00/0.21	  (binintersectEL <=> (![A,B,Xx]: (in(Xx,binintersect(A,B)) => in(Xx,A))))).
0.00/0.21	tff('1', plain,
0.00/0.21	    ![X3, X4, X5]:
0.00/0.21	      (~ in(X3, binintersect(X4, X5)) | in(X3, X4) | ~ binintersectEL),
0.00/0.21	    inference('cnf', [status(esa)], [binintersectEL])).
0.00/0.21	tff('2', plain, binintersectEL, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('3', plain,
0.00/0.21	    ![X3, X4, X5]: (~ in(X3, binintersect(X4, X5)) | in(X3, X4) | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['1', '2'])).
0.00/0.21	tff('4', plain, ![X3, X4, X5]: (in(X3, X4) | ~ in(X3, binintersect(X4, X5))),
0.00/0.21	    inference('simplify', [status(thm)], ['3'])).
0.00/0.21	tff('5', plain, (~ $true | in(sk_Xx2, sk_X)),
0.00/0.21	    inference('sup-', [status(thm)], ['0', '4'])).
0.00/0.21	tff('6', plain, in(sk_Xx2, sk_X), inference('simplify', [status(thm)], ['5'])).
0.00/0.21	tff(binunionIL, axiom,
0.00/0.21	  (binunionIL <=> (![A,B,Xx]: (in(Xx,A) => in(Xx,binunion(A,B)))))).
0.00/0.21	tff('7', plain,
0.00/0.21	    ![X0, X1, X2]: (~ in(X0, X1) | in(X0, binunion(X1, X2)) | ~ binunionIL),
0.00/0.21	    inference('cnf', [status(esa)], [binunionIL])).
0.00/0.21	tff('8', plain, binunionIL, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('9', plain,
0.00/0.21	    ![X0, X1, X2]: (~ in(X0, X1) | in(X0, binunion(X1, X2)) | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['7', '8'])).
0.00/0.21	tff('10', plain, ![X0, X1, X2]: (in(X0, binunion(X1, X2)) | ~ in(X0, X1)),
0.00/0.21	    inference('simplify', [status(thm)], ['9'])).
0.00/0.21	tff('11', plain, ~ in(sk_Xx2, binunion(sk_X, sk_Z)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('12', plain, (~ $true | ~ in(sk_Xx2, sk_X)),
0.00/0.21	    inference('sup-', [status(thm)], ['10', '11'])).
0.00/0.21	tff('13', plain, ~ in(sk_Xx2, sk_X),
0.00/0.21	    inference('simplify', [status(thm)], ['12'])).
0.00/0.21	tff('14', plain, ~ $true, inference('sup-', [status(thm)], ['6', '13'])).
0.00/0.21	tff('15', plain, $false, inference('simplify', [status(thm)], ['14'])).
0.00/0.21	
0.00/0.21	% SZS output end Refutation
0.00/0.21	EOF
