0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
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-ho \
0.00/0.00	  --no-avatar \
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	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n176.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 17:15:25 CST 2018
0.60/0.79	% done 516 iterations in 0.583s
0.60/0.79	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.60/0.79	% SZS output start Refutation
0.60/0.79	tff(powersetI, axiom,
0.60/0.79	  (powersetI <=>
0.60/0.79	   (![A,B]: ((![Xx]: (in(Xx,B) => in(Xx,A))) => in(B,powerset(A)))))).
0.60/0.79	tff('0', plain,
0.60/0.79	    ![X0, X1]: (in(sk_Xx(X0, X1), X0) | in(X0, powerset(X1)) | ~ powersetI),
0.60/0.79	    inference('cnf', [status(esa)], [powersetI])).
0.60/0.79	tff(binunionT_lem, conjecture,
0.60/0.79	  (powersetI =>
0.60/0.79	   (powersetE =>
0.60/0.79	    (binunionEcases =>
0.60/0.79	     (![A,X]:
0.60/0.79	        (in(X,powerset(A)) =>
0.60/0.79	         (![Y]: (in(Y,powerset(A)) => in(binunion(X,Y),powerset(A)))))))))).
0.60/0.79	tff(zf_stmt_0, negated_conjecture,
0.60/0.79	  (~
0.60/0.79	    (powersetI =>
0.60/0.79	     (powersetE =>
0.60/0.79	      (binunionEcases =>
0.60/0.79	       (![A,X]:
0.60/0.79	          (in(X,powerset(A)) =>
0.60/0.79	           (![Y]: (in(Y,powerset(A)) => in(binunion(X,Y),powerset(A))))))))))).
0.60/0.79	tff('1', plain, powersetI, inference('cnf', [status(esa)], [zf_stmt_0])).
0.60/0.79	tff('2', plain,
0.60/0.79	    ![X0, X1]: (in(sk_Xx(X0, X1), X0) | in(X0, powerset(X1)) | ~ $true),
0.60/0.79	    inference('demod', [status(thm)], ['0', '1'])).
0.60/0.79	tff('3', plain, ![X0, X1]: (in(X0, powerset(X1)) | in(sk_Xx(X0, X1), X0)),
0.60/0.79	    inference('simplify', [status(thm)], ['2'])).
0.60/0.79	tff(binunionEcases, axiom,
0.60/0.79	  (binunionEcases <=>
0.60/0.79	   (![A,B,Xx,Xphi:$o]:
0.60/0.79	      (in(Xx,binunion(A,B)) =>
0.60/0.79	       ((in(Xx,A) => Xphi) => ((in(Xx,B) => Xphi) => Xphi)))))).
0.60/0.79	tff('4', plain,
0.60/0.79	    ![X6 : $o, X7, X8, X9]:
0.60/0.79	      (in(X7, X8)
0.60/0.79	       | X6
0.60/0.79	       | in(X7, X9)
0.60/0.79	       | ~ in(X7, binunion(X8, X9))
0.60/0.79	       | ~ binunionEcases),
0.60/0.79	    inference('cnf', [status(esa)], [binunionEcases])).
0.60/0.79	tff('5', plain, binunionEcases, inference('cnf', [status(esa)], [zf_stmt_0])).
0.60/0.79	tff('6', plain,
0.60/0.79	    ![X6 : $o, X7, X8, X9]:
0.60/0.79	      (in(X7, X8) | X6 | in(X7, X9) | ~ in(X7, binunion(X8, X9)) | ~ $true),
0.60/0.79	    inference('demod', [status(thm)], ['4', '5'])).
0.60/0.79	tff('7', plain,
0.60/0.79	    ![X6 : $o, X7, X8, X9]:
0.60/0.79	      (~ in(X7, binunion(X8, X9)) | in(X7, X9) | X6 | in(X7, X8)),
0.60/0.79	    inference('simplify', [status(thm)], ['6'])).
0.60/0.79	tff('8', plain,
0.60/0.79	    ![X0, X1, X2]: (~ in(X2, binunion(X1, X0)) | in(X2, X0) | in(X2, X1)),
0.60/0.79	    inference('condensation', [status(thm)], ['7'])).
0.60/0.79	tff('9', plain,
0.60/0.79	    ![X0, X1, X2]:
0.60/0.79	      (~ $true
0.60/0.79	       | in(binunion(X1, X0), powerset(X2))
0.60/0.79	       | in(sk_Xx(binunion(X1, X0), X2), X1)
0.60/0.79	       | in(sk_Xx(binunion(X1, X0), X2), X0)),
0.60/0.79	    inference('sup-', [status(thm)], ['3', '8'])).
0.60/0.79	tff('10', plain,
0.60/0.79	    ![X0, X1, X2]:
0.60/0.79	      (in(sk_Xx(binunion(X1, X0), X2), X0)
0.60/0.79	       | in(sk_Xx(binunion(X1, X0), X2), X1)
0.60/0.79	       | in(binunion(X1, X0), powerset(X2))),
0.60/0.79	    inference('simplify', [status(thm)], ['9'])).
0.60/0.79	tff('11', plain, in(sk_Y, powerset(sk_A3)),
0.60/0.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.60/0.79	tff(powersetE, axiom,
0.60/0.79	  (powersetE <=> (![A,B,Xx]: (in(B,powerset(A)) => (in(Xx,B) => in(Xx,A)))))).
0.60/0.79	tff('12', plain,
0.60/0.79	    ![X3, X4, X5]:
0.60/0.79	      (~ in(X3, X4) | in(X3, X5) | ~ in(X4, powerset(X5)) | ~ powersetE),
0.60/0.79	    inference('cnf', [status(esa)], [powersetE])).
0.60/0.79	tff('13', plain, powersetE, inference('cnf', [status(esa)], [zf_stmt_0])).
0.60/0.79	tff('14', plain,
0.60/0.79	    ![X3, X4, X5]:
0.60/0.79	      (~ in(X3, X4) | in(X3, X5) | ~ in(X4, powerset(X5)) | ~ $true),
0.60/0.79	    inference('demod', [status(thm)], ['12', '13'])).
0.60/0.79	tff('15', plain,
0.60/0.79	    ![X3, X4, X5]: (~ in(X4, powerset(X5)) | in(X3, X5) | ~ in(X3, X4)),
0.60/0.79	    inference('simplify', [status(thm)], ['14'])).
0.60/0.79	tff('16', plain, ![X0]: (~ $true | ~ in(X0, sk_Y) | in(X0, sk_A3)),
0.60/0.79	    inference('sup-', [status(thm)], ['11', '15'])).
0.60/0.79	tff('17', plain, ![X0]: (in(X0, sk_A3) | ~ in(X0, sk_Y)),
0.60/0.79	    inference('simplify', [status(thm)], ['16'])).
0.60/0.79	tff('18', plain,
0.60/0.79	    ![X0, X1]:
0.60/0.79	      (~ $true
0.60/0.79	       | in(binunion(X1, sk_Y), powerset(X0))
0.60/0.79	       | in(sk_Xx(binunion(X1, sk_Y), X0), X1)
0.60/0.79	       | in(sk_Xx(binunion(X1, sk_Y), X0), sk_A3)),
0.60/0.79	    inference('sup-', [status(thm)], ['10', '17'])).
0.60/0.79	tff('19', plain,
0.60/0.79	    ![X0, X1]:
0.60/0.79	      (in(sk_Xx(binunion(X1, sk_Y), X0), sk_A3)
0.60/0.79	       | in(sk_Xx(binunion(X1, sk_Y), X0), X1)
0.60/0.79	       | in(binunion(X1, sk_Y), powerset(X0))),
0.60/0.79	    inference('simplify', [status(thm)], ['18'])).
0.60/0.79	tff('20', plain, in(sk_X, powerset(sk_A3)),
0.60/0.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.60/0.79	tff('21', plain, ![X0]: (~ $true | ~ in(X0, sk_X) | in(X0, sk_A3)),
0.60/0.79	    inference('sup-', [status(thm)], ['20', '15'])).
0.60/0.79	tff('22', plain, ![X0]: (in(X0, sk_A3) | ~ in(X0, sk_X)),
0.60/0.79	    inference('simplify', [status(thm)], ['21'])).
0.60/0.79	tff('23', plain,
0.60/0.79	    ![X0]:
0.60/0.79	      (~ $true
0.60/0.79	       | in(binunion(sk_X, sk_Y), powerset(X0))
0.60/0.79	       | in(sk_Xx(binunion(sk_X, sk_Y), X0), sk_A3)
0.60/0.79	       | in(sk_Xx(binunion(sk_X, sk_Y), X0), sk_A3)),
0.60/0.79	    inference('sup-', [status(thm)], ['19', '22'])).
0.60/0.79	tff('24', plain,
0.60/0.79	    ![X0]:
0.60/0.79	      (in(sk_Xx(binunion(sk_X, sk_Y), X0), sk_A3)
0.60/0.79	       | in(binunion(sk_X, sk_Y), powerset(X0))),
0.60/0.79	    inference('simplify', [status(thm)], ['23'])).
0.60/0.79	tff('25', plain,
0.60/0.79	    ![X0, X1]: (~ in(sk_Xx(X0, X1), X1) | in(X0, powerset(X1)) | ~ powersetI),
0.60/0.79	    inference('cnf', [status(esa)], [powersetI])).
0.60/0.79	tff('26', plain,
0.60/0.79	    ![X0, X1]: (~ in(sk_Xx(X0, X1), X1) | in(X0, powerset(X1)) | ~ $true),
0.60/0.79	    inference('demod', [status(thm)], ['25', '1'])).
0.60/0.79	tff('27', plain, ![X0, X1]: (in(X0, powerset(X1)) | ~ in(sk_Xx(X0, X1), X1)),
0.60/0.79	    inference('simplify', [status(thm)], ['26'])).
0.60/0.79	tff('28', plain,
0.60/0.79	    (~ $true
0.60/0.79	     | in(binunion(sk_X, sk_Y), powerset(sk_A3))
0.60/0.79	     | in(binunion(sk_X, sk_Y), powerset(sk_A3))),
0.60/0.79	    inference('sup-', [status(thm)], ['24', '27'])).
0.60/0.79	tff('29', plain, in(binunion(sk_X, sk_Y), powerset(sk_A3)),
0.60/0.79	    inference('simplify', [status(thm)], ['28'])).
0.60/0.79	tff('30', plain, ~ in(binunion(sk_X, sk_Y), powerset(sk_A3)),
0.60/0.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.60/0.79	tff('31', plain, ~ $true, inference('sup-', [status(thm)], ['29', '30'])).
0.60/0.79	tff('32', plain, $false, inference('simplify', [status(thm)], ['31'])).
0.60/0.79	
0.60/0.79	% SZS output end Refutation
0.60/0.79	EOF
