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    : supatvars_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	  --sup-at-vars \
0.00/0.01	  --restrict-hidden-sup-at-vars \
0.00/0.01	  --ho-ext-axiom \
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   : n061.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 17:17:26 CST 2018
26.69/26.89	% done 3877 iterations in 26.681s
26.69/26.89	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
26.69/26.89	% SZS output start Refutation
26.69/26.89	tff(binintersectT_lem, axiom,
26.69/26.89	  (binintersectT_lem <=>
26.69/26.89	   (![A,X]:
26.69/26.89	      (in(X,powerset(A)) =>
26.69/26.89	       (![Y]: (in(Y,powerset(A)) => in(binintersect(X,Y),powerset(A)))))))).
26.69/26.89	tff('0', plain,
26.69/26.89	    ![X0, X1, X2]:
26.69/26.89	      (~ in(X0, powerset(X1))
26.69/26.89	       | in(binintersect(X0, X2), powerset(X1))
26.69/26.89	       | ~ in(X2, powerset(X1))
26.69/26.89	       | ~ binintersectT_lem),
26.69/26.89	    inference('cnf', [status(esa)], [binintersectT_lem])).
26.69/26.89	tff(intersectInPowersetIntersectUnions, conjecture,
26.69/26.89	  (binintersectT_lem =>
26.69/26.89	   (binunionT_lem =>
26.69/26.89	    (powersetTI1 =>
26.69/26.89	     (inIntersectImpInIntersectUnions =>
26.69/26.89	      (![A,X]:
26.69/26.89	         (in(X,powerset(A)) =>
26.69/26.89	          (![Y]:
26.69/26.89	             (in(Y,powerset(A)) =>
26.69/26.89	              (![Z]:
26.69/26.89	                 (in(Z,powerset(A)) =>
26.69/26.89	                  in(binintersect(X,Y),
26.69/26.89	                     powerset(binintersect(binunion(X,Z),binunion(Y,Z))))))))))))))).
26.69/26.89	tff(zf_stmt_0, negated_conjecture,
26.69/26.89	  (~
26.69/26.89	    (binintersectT_lem =>
26.69/26.89	     (binunionT_lem =>
26.69/26.89	      (powersetTI1 =>
26.69/26.89	       (inIntersectImpInIntersectUnions =>
26.69/26.89	        (![A,X]:
26.69/26.89	           (in(X,powerset(A)) =>
26.69/26.89	            (![Y]:
26.69/26.89	               (in(Y,powerset(A)) =>
26.69/26.89	                (![Z]:
26.69/26.89	                   (in(Z,powerset(A)) =>
26.69/26.89	                    in(binintersect(X,Y),
26.69/26.89	                       powerset(binintersect(binunion(X,Z),binunion(Y,Z)))))))))))))))).
26.69/26.89	tff('1', plain, binintersectT_lem,
26.69/26.89	    inference('cnf', [status(esa)], [zf_stmt_0])).
26.69/26.89	tff('2', plain,
26.69/26.89	    ![X0, X1, X2]:
26.69/26.89	      (~ in(X0, powerset(X1))
26.69/26.89	       | in(binintersect(X0, X2), powerset(X1))
26.69/26.89	       | ~ in(X2, powerset(X1))
26.69/26.89	       | ~ $true),
26.69/26.89	    inference('demod', [status(thm)], ['0', '1'])).
26.69/26.89	tff('3', plain,
26.69/26.89	    ![X0, X1, X2]:
26.69/26.89	      (~ in(X2, powerset(X1))
26.69/26.89	       | in(binintersect(X0, X2), powerset(X1))
26.69/26.89	       | ~ in(X0, powerset(X1))),
26.69/26.89	    inference('simplify', [status(thm)], ['2'])).
26.69/26.89	tff(binunionT_lem, axiom,
26.69/26.89	  (binunionT_lem <=>
26.69/26.89	   (![A,X]:
26.69/26.89	      (in(X,powerset(A)) =>
26.69/26.89	       (![Y]: (in(Y,powerset(A)) => in(binunion(X,Y),powerset(A)))))))).
26.69/26.89	tff('4', plain,
26.69/26.89	    ![X3, X4, X5]:
26.69/26.89	      (~ in(X3, powerset(X4))
26.69/26.89	       | in(binunion(X3, X5), powerset(X4))
26.69/26.89	       | ~ in(X5, powerset(X4))
26.69/26.89	       | ~ binunionT_lem),
26.69/26.89	    inference('cnf', [status(esa)], [binunionT_lem])).
26.69/26.89	tff('5', plain, binunionT_lem, inference('cnf', [status(esa)], [zf_stmt_0])).
26.69/26.89	tff('6', plain,
26.69/26.89	    ![X3, X4, X5]:
26.69/26.89	      (~ in(X3, powerset(X4))
26.69/26.89	       | in(binunion(X3, X5), powerset(X4))
26.69/26.89	       | ~ in(X5, powerset(X4))
26.69/26.89	       | ~ $true),
26.69/26.89	    inference('demod', [status(thm)], ['4', '5'])).
26.69/26.89	tff('7', plain,
26.69/26.89	    ![X3, X4, X5]:
26.69/26.89	      (~ in(X5, powerset(X4))
26.69/26.89	       | in(binunion(X3, X5), powerset(X4))
26.69/26.89	       | ~ in(X3, powerset(X4))),
26.69/26.89	    inference('simplify', [status(thm)], ['6'])).
26.69/26.89	tff(powersetTI1, axiom,
26.69/26.89	  (powersetTI1 <=>
26.69/26.89	   (![A,X]:
26.69/26.89	      (in(X,powerset(A)) =>
26.69/26.89	       (![Y]:
26.69/26.89	          (in(Y,powerset(A)) =>
26.69/26.89	           ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) =>
26.69/26.89	            in(X,powerset(Y))))))))).
26.69/26.89	tff('8', plain,
26.69/26.89	    ![X6, X7, X8]:
26.69/26.89	      (~ in(X6, powerset(X7))
26.69/26.89	       | in(sk_Xx(X8, X6, X7), X7)
26.69/26.89	       | in(X6, powerset(X8))
26.69/26.89	       | ~ in(X8, powerset(X7))
26.69/26.89	       | ~ powersetTI1),
26.69/26.89	    inference('cnf', [status(esa)], [powersetTI1])).
26.69/26.89	tff('9', plain, powersetTI1, inference('cnf', [status(esa)], [zf_stmt_0])).
26.69/26.89	tff('10', plain,
26.69/26.89	    ![X6, X7, X8]:
26.69/26.89	      (~ in(X6, powerset(X7))
26.69/26.89	       | in(sk_Xx(X8, X6, X7), X7)
26.69/26.89	       | in(X6, powerset(X8))
26.69/26.89	       | ~ in(X8, powerset(X7))
26.69/26.89	       | ~ $true),
26.69/26.89	    inference('demod', [status(thm)], ['8', '9'])).
26.69/26.89	tff('11', plain,
26.69/26.89	    ![X6, X7, X8]:
26.69/26.89	      (~ in(X8, powerset(X7))
26.69/26.89	       | in(X6, powerset(X8))
26.69/26.89	       | in(sk_Xx(X8, X6, X7), X7)
26.69/26.89	       | ~ in(X6, powerset(X7))),
26.69/26.89	    inference('simplify', [status(thm)], ['10'])).
26.69/26.89	tff('12', plain,
26.69/26.89	    ![X6, X7, X8]:
26.69/26.89	      (~ in(X6, powerset(X7))
26.69/26.89	       | in(sk_Xx(X8, X6, X7), X6)
26.69/26.89	       | in(X6, powerset(X8))
26.69/26.89	       | ~ in(X8, powerset(X7))
26.69/26.89	       | ~ powersetTI1),
26.69/26.89	    inference('cnf', [status(esa)], [powersetTI1])).
26.69/26.89	tff('13', plain,
26.69/26.89	    ![X6, X7, X8]:
26.69/26.89	      (~ in(X6, powerset(X7))
26.69/26.89	       | in(sk_Xx(X8, X6, X7), X6)
26.69/26.89	       | in(X6, powerset(X8))
26.69/26.89	       | ~ in(X8, powerset(X7))
26.69/26.89	       | ~ $true),
26.69/26.89	    inference('demod', [status(thm)], ['12', '9'])).
26.69/26.89	tff('14', plain,
26.69/26.89	    ![X6, X7, X8]:
26.69/26.89	      (~ in(X8, powerset(X7))
26.69/26.89	       | in(X6, powerset(X8))
26.69/26.89	       | in(sk_Xx(X8, X6, X7), X6)
26.69/26.89	       | ~ in(X6, powerset(X7))),
26.69/26.89	    inference('simplify', [status(thm)], ['13'])).
26.69/26.89	tff('15', plain, in(sk_Y4, powerset(sk_A4)),
26.69/26.89	    inference('cnf', [status(esa)], [zf_stmt_0])).
26.69/26.89	tff(inIntersectImpInIntersectUnions, axiom,
26.69/26.89	  (inIntersectImpInIntersectUnions <=>
26.69/26.89	   (![A,X]:
26.69/26.89	      (in(X,powerset(A)) =>
26.69/26.89	       (![Y]:
26.69/26.89	          (in(Y,powerset(A)) =>
26.69/26.89	           (![Z]:
26.69/26.89	              (in(Z,powerset(A)) =>
26.69/26.89	               (![Xx]:
26.69/26.89	                  (in(Xx,A) =>
26.69/26.89	                   (in(Xx,binintersect(X,Y)) =>
26.69/26.89	                    in(Xx,binintersect(binunion(X,Z),binunion(Y,Z)))))))))))))).
26.69/26.89	tff('16', plain,
26.69/26.89	    ![X10, X11, X12, X13, X14]:
26.69/26.89	      (~ in(X10, powerset(X11))
26.69/26.89	       | ~ in(X12, powerset(X11))
26.69/26.89	       | ~ in(X13, binintersect(X10, X14))
26.69/26.89	       | in(X13, binintersect(binunion(X10, X12), binunion(X14, X12)))
26.69/26.89	       | ~ in(X13, X11)
26.69/26.89	       | ~ in(X14, powerset(X11))
26.69/26.89	       | ~ inIntersectImpInIntersectUnions),
26.69/26.89	    inference('cnf', [status(esa)], [inIntersectImpInIntersectUnions])).
26.69/26.89	tff('17', plain, inIntersectImpInIntersectUnions,
26.69/26.89	    inference('cnf', [status(esa)], [zf_stmt_0])).
26.69/26.89	tff('18', plain,
26.69/26.89	    ![X10, X11, X12, X13, X14]:
26.69/26.89	      (~ in(X10, powerset(X11))
26.69/26.89	       | ~ in(X12, powerset(X11))
26.69/26.89	       | ~ in(X13, binintersect(X10, X14))
26.69/26.89	       | in(X13, binintersect(binunion(X10, X12), binunion(X14, X12)))
26.69/26.89	       | ~ in(X13, X11)
26.69/26.89	       | ~ in(X14, powerset(X11))
26.69/26.89	       | ~ $true),
26.69/26.89	    inference('demod', [status(thm)], ['16', '17'])).
26.69/26.89	tff('19', plain,
26.69/26.89	    ![X10, X11, X12, X13, X14]:
26.69/26.89	      (~ in(X14, powerset(X11))
26.69/26.89	       | ~ in(X13, X11)
26.69/26.89	       | in(X13, binintersect(binunion(X10, X12), binunion(X14, X12)))
26.69/26.89	       | ~ in(X13, binintersect(X10, X14))
26.69/26.89	       | ~ in(X12, powerset(X11))
26.69/26.89	       | ~ in(X10, powerset(X11))),
26.69/26.89	    inference('simplify', [status(thm)], ['18'])).
26.69/26.89	tff('20', plain,
26.69/26.89	    ![X0, X1, X2]:
26.69/26.89	      (~ $true
26.69/26.89	       | ~ in(X0, powerset(sk_A4))
26.69/26.89	       | ~ in(X1, powerset(sk_A4))
26.69/26.89	       | ~ in(X2, binintersect(X0, sk_Y4))
26.69/26.89	       | in(X2, binintersect(binunion(X0, X1), binunion(sk_Y4, X1)))
26.69/26.89	       | ~ in(X2, sk_A4)),
26.69/26.89	    inference('sup-', [status(thm)], ['15', '19'])).
26.69/26.89	tff('21', plain,
26.69/26.89	    ![X0, X1, X2]:
26.69/26.89	      (~ in(X2, sk_A4)
26.69/26.89	       | in(X2, binintersect(binunion(X0, X1), binunion(sk_Y4, X1)))
26.69/26.89	       | ~ in(X2, binintersect(X0, sk_Y4))
26.69/26.89	       | ~ in(X1, powerset(sk_A4))
26.69/26.89	       | ~ in(X0, powerset(sk_A4))),
26.69/26.89	    inference('simplify', [status(thm)], ['20'])).
26.69/26.89	tff('22', plain,
26.69/26.89	    ![X6, X7, X8]:
26.69/26.89	      (~ in(X6, powerset(X7))
26.69/26.89	       | ~ in(sk_Xx(X8, X6, X7), X8)
26.69/26.89	       | in(X6, powerset(X8))
26.69/26.89	       | ~ in(X8, powerset(X7))
26.69/26.89	       | ~ powersetTI1),
26.69/26.89	    inference('cnf', [status(esa)], [powersetTI1])).
26.69/26.89	tff('23', plain,
26.69/26.89	    ![X6, X7, X8]:
26.69/26.89	      (~ in(X6, powerset(X7))
26.69/26.89	       | ~ in(sk_Xx(X8, X6, X7), X8)
26.69/26.89	       | in(X6, powerset(X8))
26.69/26.89	       | ~ in(X8, powerset(X7))
26.69/26.89	       | ~ $true),
26.69/26.89	    inference('demod', [status(thm)], ['22', '9'])).
26.69/26.89	tff('24', plain,
26.69/26.89	    ![X6, X7, X8]:
26.69/26.89	      (~ in(X8, powerset(X7))
26.69/26.89	       | in(X6, powerset(X8))
26.69/26.89	       | ~ in(sk_Xx(X8, X6, X7), X8)
26.69/26.89	       | ~ in(X6, powerset(X7))),
26.69/26.89	    inference('simplify', [status(thm)], ['23'])).
26.69/26.89	tff('25', plain,
26.69/26.89	    ![X0, X1, X2, X3]:
26.69/26.89	      (~ $true
26.69/26.89	       | ~ in(X1, powerset(sk_A4))
26.69/26.89	       | ~ in(X0, powerset(sk_A4))
26.69/26.89	       | ~ in(
26.69/26.89	             sk_Xx(binintersect(binunion(X1, X0), binunion(sk_Y4, X0)), X3, 
26.69/26.89	               X2), binintersect(X1, sk_Y4))
26.69/26.89	       | ~ in(
26.69/26.89	             sk_Xx(binintersect(binunion(X1, X0), binunion(sk_Y4, X0)), X3, 
26.69/26.89	               X2), sk_A4)
26.69/26.89	       | ~ in(X3, powerset(X2))
26.69/26.89	       | in(X3, 
26.69/26.89	           powerset(binintersect(binunion(X1, X0), binunion(sk_Y4, X0))))
26.69/26.89	       | ~ in(binintersect(binunion(X1, X0), binunion(sk_Y4, X0)), 
26.69/26.89	             powerset(X2))),
26.69/26.89	    inference('sup-', [status(thm)], ['21', '24'])).
26.69/26.89	tff('26', plain,
26.69/26.89	    ![X0, X1, X2, X3]:
26.69/26.89	      (~ in(binintersect(binunion(X1, X0), binunion(sk_Y4, X0)), 
26.69/26.89	           powerset(X2))
26.69/26.89	       | in(X3, 
26.69/26.89	           powerset(binintersect(binunion(X1, X0), binunion(sk_Y4, X0))))
26.69/26.89	       | ~ in(X3, powerset(X2))
26.69/26.89	       | ~ in(
26.69/26.89	             sk_Xx(binintersect(binunion(X1, X0), binunion(sk_Y4, X0)), X3, 
26.69/26.89	               X2), sk_A4)
26.69/26.89	       | ~ in(
26.69/26.89	             sk_Xx(binintersect(binunion(X1, X0), binunion(sk_Y4, X0)), X3, 
26.69/26.89	               X2), binintersect(X1, sk_Y4))
26.69/26.89	       | ~ in(X0, powerset(sk_A4))
26.69/26.89	       | ~ in(X1, powerset(sk_A4))),
26.69/26.89	    inference('simplify', [status(thm)], ['25'])).
26.69/26.89	tff('27', plain,
26.69/26.89	    ![X0, X1, X2]:
26.69/26.89	      (~ $true
26.69/26.89	       | ~ in(binintersect(X0, sk_Y4), powerset(X1))
26.69/26.89	       | in(binintersect(X0, sk_Y4), 
26.69/26.89	           powerset(binintersect(binunion(X0, X2), binunion(sk_Y4, X2))))
26.69/26.89	       | ~ in(binintersect(binunion(X0, X2), binunion(sk_Y4, X2)), 
26.69/26.89	             powerset(X1))
26.69/26.89	       | ~ in(X0, powerset(sk_A4))
26.69/26.89	       | ~ in(X2, powerset(sk_A4))
26.69/26.89	       | ~ in(
26.69/26.89	             sk_Xx(binintersect(binunion(X0, X2), binunion(sk_Y4, X2)), 
26.69/26.89	               binintersect(X0, sk_Y4), X1), sk_A4)
26.69/26.89	       | ~ in(binintersect(X0, sk_Y4), powerset(X1))
26.69/26.89	       | in(binintersect(X0, sk_Y4), 
26.69/26.89	           powerset(binintersect(binunion(X0, X2), binunion(sk_Y4, X2))))
26.69/26.89	       | ~ in(binintersect(binunion(X0, X2), binunion(sk_Y4, X2)), 
26.69/26.89	             powerset(X1))),
26.69/26.89	    inference('sup-', [status(thm)], ['14', '26'])).
26.69/26.89	tff('28', plain,
26.69/26.89	    ![X0, X1, X2]:
26.69/26.89	      (~ in(
26.69/26.89	           sk_Xx(binintersect(binunion(X0, X2), binunion(sk_Y4, X2)), 
26.69/26.89	             binintersect(X0, sk_Y4), X1), sk_A4)
26.69/26.89	       | ~ in(X2, powerset(sk_A4))
26.69/26.89	       | ~ in(X0, powerset(sk_A4))
26.69/26.89	       | ~ in(binintersect(binunion(X0, X2), binunion(sk_Y4, X2)), 
26.69/26.89	             powerset(X1))
26.69/26.89	       | in(binintersect(X0, sk_Y4), 
26.69/26.89	           powerset(binintersect(binunion(X0, X2), binunion(sk_Y4, X2))))
26.69/26.89	       | ~ in(binintersect(X0, sk_Y4), powerset(X1))),
26.69/26.89	    inference('simplify', [status(thm)], ['27'])).
26.69/26.89	tff('29', plain,
26.69/26.89	    ![X0, X1]:
26.69/26.89	      (~ $true
26.69/26.89	       | ~ in(binintersect(X0, sk_Y4), powerset(sk_A4))
26.69/26.89	       | in(binintersect(X0, sk_Y4), 
26.69/26.89	           powerset(binintersect(binunion(X0, X1), binunion(sk_Y4, X1))))
26.69/26.89	       | ~ in(binintersect(binunion(X0, X1), binunion(sk_Y4, X1)), 
26.69/26.89	             powerset(sk_A4))
26.69/26.89	       | ~ in(binintersect(X0, sk_Y4), powerset(sk_A4))
26.69/26.89	       | in(binintersect(X0, sk_Y4), 
26.69/26.89	           powerset(binintersect(binunion(X0, X1), binunion(sk_Y4, X1))))
26.69/26.89	       | ~ in(binintersect(binunion(X0, X1), binunion(sk_Y4, X1)), 
26.69/26.89	             powerset(sk_A4))
26.69/26.89	       | ~ in(X0, powerset(sk_A4))
26.69/26.89	       | ~ in(X1, powerset(sk_A4))),
26.69/26.89	    inference('sup-', [status(thm)], ['11', '28'])).
26.69/26.89	tff('30', plain,
26.69/26.89	    ![X0, X1]:
26.69/26.89	      (~ in(X1, powerset(sk_A4))
26.69/26.89	       | ~ in(X0, powerset(sk_A4))
26.69/26.89	       | ~ in(binintersect(binunion(X0, X1), binunion(sk_Y4, X1)), 
26.69/26.89	             powerset(sk_A4))
26.69/26.89	       | in(binintersect(X0, sk_Y4), 
26.69/26.89	           powerset(binintersect(binunion(X0, X1), binunion(sk_Y4, X1))))
26.69/26.89	       | ~ in(binintersect(X0, sk_Y4), powerset(sk_A4))),
26.69/26.89	    inference('simplify', [status(thm)], ['29'])).
26.69/26.89	tff('31', plain,
26.69/26.89	    ~ in(binintersect(sk_X4, sk_Y4), 
26.69/26.89	        powerset(
26.69/26.89	          binintersect(binunion(sk_X4, sk_Z1), binunion(sk_Y4, sk_Z1)))),
26.69/26.89	    inference('cnf', [status(esa)], [zf_stmt_0])).
26.69/26.89	tff('32', plain,
26.69/26.89	    (~ $true
26.69/26.89	     | ~ in(binintersect(sk_X4, sk_Y4), powerset(sk_A4))
26.69/26.89	     | ~ in(binintersect(binunion(sk_X4, sk_Z1), binunion(sk_Y4, sk_Z1)), 
26.69/26.89	           powerset(sk_A4))
26.69/26.89	     | ~ in(sk_X4, powerset(sk_A4))
26.69/26.89	     | ~ in(sk_Z1, powerset(sk_A4))),
26.69/26.89	    inference('sup-', [status(thm)], ['30', '31'])).
26.69/26.89	tff('33', plain, in(sk_X4, powerset(sk_A4)),
26.69/26.89	    inference('cnf', [status(esa)], [zf_stmt_0])).
26.69/26.89	tff('34', plain, in(sk_Z1, powerset(sk_A4)),
26.69/26.89	    inference('cnf', [status(esa)], [zf_stmt_0])).
26.69/26.89	tff('35', plain,
26.69/26.89	    (~ $true
26.69/26.89	     | ~ in(binintersect(sk_X4, sk_Y4), powerset(sk_A4))
26.69/26.89	     | ~ in(binintersect(binunion(sk_X4, sk_Z1), binunion(sk_Y4, sk_Z1)), 
26.69/26.89	           powerset(sk_A4))
26.69/26.89	     | ~ $true
26.69/26.89	     | ~ $true),
26.69/26.89	    inference('demod', [status(thm)], ['32', '33', '34'])).
26.69/26.89	tff('36', plain,
26.69/26.89	    (~ in(binintersect(binunion(sk_X4, sk_Z1), binunion(sk_Y4, sk_Z1)), 
26.69/26.89	         powerset(sk_A4))
26.69/26.89	     | ~ in(binintersect(sk_X4, sk_Y4), powerset(sk_A4))),
26.69/26.89	    inference('simplify', [status(thm)], ['35'])).
26.69/26.89	tff('37', plain,
26.69/26.89	    (~ $true
26.69/26.89	     | ~ in(binunion(sk_X4, sk_Z1), powerset(sk_A4))
26.69/26.89	     | ~ in(binunion(sk_Y4, sk_Z1), powerset(sk_A4))
26.69/26.89	     | ~ in(binintersect(sk_X4, sk_Y4), powerset(sk_A4))),
26.69/26.89	    inference('sup-', [status(thm)], ['3', '36'])).
26.69/26.89	tff('38', plain,
26.69/26.89	    (~ in(binintersect(sk_X4, sk_Y4), powerset(sk_A4))
26.69/26.89	     | ~ in(binunion(sk_Y4, sk_Z1), powerset(sk_A4))
26.69/26.89	     | ~ in(binunion(sk_X4, sk_Z1), powerset(sk_A4))),
26.69/26.89	    inference('simplify', [status(thm)], ['37'])).
26.69/26.89	tff('39', plain,
26.69/26.89	    (~ $true
26.69/26.89	     | ~ in(sk_Y4, powerset(sk_A4))
26.69/26.89	     | ~ in(sk_Z1, powerset(sk_A4))
26.69/26.89	     | ~ in(binunion(sk_X4, sk_Z1), powerset(sk_A4))
26.69/26.89	     | ~ in(binintersect(sk_X4, sk_Y4), powerset(sk_A4))),
26.69/26.89	    inference('sup-', [status(thm)], ['7', '38'])).
26.69/26.89	tff('40', plain,
26.69/26.89	    (~ $true
26.69/26.89	     | ~ $true
26.69/26.89	     | ~ $true
26.69/26.89	     | ~ in(binunion(sk_X4, sk_Z1), powerset(sk_A4))
26.69/26.89	     | ~ in(binintersect(sk_X4, sk_Y4), powerset(sk_A4))),
26.69/26.89	    inference('demod', [status(thm)], ['39', '15', '34'])).
26.69/26.89	tff('41', plain,
26.69/26.89	    (~ in(binintersect(sk_X4, sk_Y4), powerset(sk_A4))
26.69/26.89	     | ~ in(binunion(sk_X4, sk_Z1), powerset(sk_A4))),
26.69/26.89	    inference('simplify', [status(thm)], ['40'])).
26.69/26.89	tff('42', plain,
26.69/26.89	    (~ $true
26.69/26.89	     | ~ in(sk_X4, powerset(sk_A4))
26.69/26.89	     | ~ in(sk_Z1, powerset(sk_A4))
26.69/26.89	     | ~ in(binintersect(sk_X4, sk_Y4), powerset(sk_A4))),
26.69/26.89	    inference('sup-', [status(thm)], ['7', '41'])).
26.69/26.89	tff('43', plain,
26.69/26.89	    (~ $true
26.69/26.89	     | ~ $true
26.69/26.89	     | ~ $true
26.69/26.89	     | ~ in(binintersect(sk_X4, sk_Y4), powerset(sk_A4))),
26.69/26.89	    inference('demod', [status(thm)], ['42', '33', '34'])).
26.69/26.89	tff('44', plain, ~ in(binintersect(sk_X4, sk_Y4), powerset(sk_A4)),
26.69/26.89	    inference('simplify', [status(thm)], ['43'])).
26.69/26.89	tff('45', plain,
26.69/26.89	    (~ $true | ~ in(sk_X4, powerset(sk_A4)) | ~ in(sk_Y4, powerset(sk_A4))),
26.69/26.89	    inference('sup-', [status(thm)], ['3', '44'])).
26.69/26.89	tff('46', plain, (~ $true | ~ $true | ~ $true),
26.69/26.89	    inference('demod', [status(thm)], ['45', '33', '15'])).
26.69/26.89	tff('47', plain, $false, inference('simplify', [status(thm)], ['46'])).
26.69/26.89	
26.69/26.89	% SZS output end Refutation
26.69/26.89	EOF
