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    : supatvars_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	  --sup-at-vars \
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   : n093.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 17:17:11 CST 2018
0.43/0.61	% done 283 iterations in 0.411s
0.43/0.61	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.43/0.61	% SZS output start Refutation
0.43/0.61	tff(binunionT_lem, axiom,
0.43/0.61	  (binunionT_lem <=>
0.43/0.61	   (![A,X]:
0.43/0.61	      (in(X,powerset(A)) =>
0.43/0.61	       (![Y]: (in(Y,powerset(A)) => in(binunion(X,Y),powerset(A)))))))).
0.43/0.61	tff('0', plain,
0.43/0.61	    ![X0, X1, X2]:
0.43/0.61	      (~ in(X0, powerset(X1))
0.43/0.61	       | in(binunion(X0, X2), powerset(X1))
0.43/0.61	       | ~ in(X2, powerset(X1))
0.43/0.61	       | ~ binunionT_lem),
0.43/0.61	    inference('cnf', [status(esa)], [binunionT_lem])).
0.43/0.61	tff(complementUnionInPowersetComplement, conjecture,
0.43/0.61	  (binunionT_lem =>
0.43/0.61	   (complementT_lem =>
0.43/0.61	    (powersetTI1 =>
0.43/0.61	     (demorgan2a1 =>
0.43/0.61	      (![A,X]:
0.43/0.61	         (in(X,powerset(A)) =>
0.43/0.61	          (![Y]:
0.43/0.61	             (in(Y,powerset(A)) =>
0.43/0.61	              in(setminus(A,binunion(X,Y)),powerset(setminus(A,X)))))))))))).
0.43/0.61	tff(zf_stmt_0, negated_conjecture,
0.43/0.61	  (~
0.43/0.61	    (binunionT_lem =>
0.43/0.61	     (complementT_lem =>
0.43/0.61	      (powersetTI1 =>
0.43/0.61	       (demorgan2a1 =>
0.43/0.61	        (![A,X]:
0.43/0.61	           (in(X,powerset(A)) =>
0.43/0.61	            (![Y]:
0.43/0.61	               (in(Y,powerset(A)) =>
0.43/0.61	                in(setminus(A,binunion(X,Y)),powerset(setminus(A,X))))))))))))).
0.43/0.61	tff('1', plain, binunionT_lem, inference('cnf', [status(esa)], [zf_stmt_0])).
0.43/0.61	tff('2', plain,
0.43/0.61	    ![X0, X1, X2]:
0.43/0.61	      (~ in(X0, powerset(X1))
0.43/0.61	       | in(binunion(X0, X2), powerset(X1))
0.43/0.61	       | ~ in(X2, powerset(X1))
0.43/0.61	       | ~ $true),
0.43/0.61	    inference('demod', [status(thm)], ['0', '1'])).
0.43/0.61	tff('3', plain,
0.43/0.61	    ![X0, X1, X2]:
0.43/0.61	      (~ in(X2, powerset(X1))
0.43/0.61	       | in(binunion(X0, X2), powerset(X1))
0.43/0.61	       | ~ in(X0, powerset(X1))),
0.43/0.61	    inference('simplify', [status(thm)], ['2'])).
0.43/0.61	tff(complementT_lem, axiom,
0.43/0.61	  (complementT_lem <=>
0.43/0.61	   (![A,X]: (in(X,powerset(A)) => in(setminus(A,X),powerset(A)))))).
0.43/0.61	tff('4', plain,
0.43/0.61	    ![X3, X4]:
0.43/0.61	      (~ in(X3, powerset(X4))
0.43/0.61	       | in(setminus(X4, X3), powerset(X4))
0.43/0.61	       | ~ complementT_lem),
0.43/0.61	    inference('cnf', [status(esa)], [complementT_lem])).
0.43/0.61	tff('5', plain, complementT_lem, inference('cnf', [status(esa)], [zf_stmt_0])).
0.43/0.61	tff('6', plain,
0.43/0.61	    ![X3, X4]:
0.43/0.61	      (~ in(X3, powerset(X4)) | in(setminus(X4, X3), powerset(X4)) | ~ $true),
0.43/0.61	    inference('demod', [status(thm)], ['4', '5'])).
0.43/0.61	tff('7', plain,
0.43/0.61	    ![X3, X4]: (in(setminus(X4, X3), powerset(X4)) | ~ in(X3, powerset(X4))),
0.43/0.61	    inference('simplify', [status(thm)], ['6'])).
0.43/0.61	tff(powersetTI1, axiom,
0.43/0.61	  (powersetTI1 <=>
0.43/0.61	   (![A,X]:
0.43/0.61	      (in(X,powerset(A)) =>
0.43/0.61	       (![Y]:
0.43/0.61	          (in(Y,powerset(A)) =>
0.43/0.61	           ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) =>
0.43/0.61	            in(X,powerset(Y))))))))).
0.43/0.61	tff('8', plain,
0.43/0.61	    ![X5, X6, X7]:
0.43/0.61	      (~ in(X5, powerset(X6))
0.43/0.61	       | in(sk_Xx(X7, X5, X6), X6)
0.43/0.61	       | in(X5, powerset(X7))
0.43/0.61	       | ~ in(X7, powerset(X6))
0.43/0.61	       | ~ powersetTI1),
0.43/0.61	    inference('cnf', [status(esa)], [powersetTI1])).
0.43/0.61	tff('9', plain, powersetTI1, inference('cnf', [status(esa)], [zf_stmt_0])).
0.43/0.61	tff('10', plain,
0.43/0.61	    ![X5, X6, X7]:
0.43/0.61	      (~ in(X5, powerset(X6))
0.43/0.61	       | in(sk_Xx(X7, X5, X6), X6)
0.43/0.61	       | in(X5, powerset(X7))
0.43/0.61	       | ~ in(X7, powerset(X6))
0.43/0.61	       | ~ $true),
0.43/0.61	    inference('demod', [status(thm)], ['8', '9'])).
0.43/0.61	tff('11', plain,
0.43/0.61	    ![X5, X6, X7]:
0.43/0.61	      (~ in(X7, powerset(X6))
0.43/0.61	       | in(X5, powerset(X7))
0.43/0.61	       | in(sk_Xx(X7, X5, X6), X6)
0.43/0.61	       | ~ in(X5, powerset(X6))),
0.43/0.61	    inference('simplify', [status(thm)], ['10'])).
0.43/0.61	tff('12', plain,
0.43/0.61	    ![X5, X6, X7]:
0.43/0.61	      (~ in(X5, powerset(X6))
0.43/0.61	       | in(sk_Xx(X7, X5, X6), X5)
0.43/0.61	       | in(X5, powerset(X7))
0.43/0.61	       | ~ in(X7, powerset(X6))
0.43/0.61	       | ~ powersetTI1),
0.43/0.61	    inference('cnf', [status(esa)], [powersetTI1])).
0.43/0.61	tff('13', plain,
0.43/0.61	    ![X5, X6, X7]:
0.43/0.61	      (~ in(X5, powerset(X6))
0.43/0.61	       | in(sk_Xx(X7, X5, X6), X5)
0.43/0.61	       | in(X5, powerset(X7))
0.43/0.61	       | ~ in(X7, powerset(X6))
0.43/0.61	       | ~ $true),
0.43/0.61	    inference('demod', [status(thm)], ['12', '9'])).
0.43/0.61	tff('14', plain,
0.43/0.61	    ![X5, X6, X7]:
0.43/0.61	      (~ in(X7, powerset(X6))
0.43/0.61	       | in(X5, powerset(X7))
0.43/0.61	       | in(sk_Xx(X7, X5, X6), X5)
0.43/0.61	       | ~ in(X5, powerset(X6))),
0.43/0.61	    inference('simplify', [status(thm)], ['13'])).
0.43/0.61	tff(demorgan2a1, axiom,
0.43/0.61	  (demorgan2a1 <=>
0.43/0.61	   (![A,X]:
0.43/0.61	      (in(X,powerset(A)) =>
0.43/0.61	       (![Y]:
0.43/0.61	          (in(Y,powerset(A)) =>
0.43/0.61	           (![Xx]:
0.43/0.61	              (in(Xx,A) =>
0.43/0.61	               (in(Xx,setminus(A,binunion(X,Y))) => in(Xx,setminus(A,X))))))))))).
0.43/0.61	tff('15', plain,
0.43/0.61	    ![X9, X10, X11, X12]:
0.43/0.61	      (~ in(X9, powerset(X10))
0.43/0.61	       | ~ in(X11, X10)
0.43/0.61	       | in(X11, setminus(X10, X9))
0.43/0.61	       | ~ in(X11, setminus(X10, binunion(X9, X12)))
0.43/0.61	       | ~ in(X12, powerset(X10))
0.43/0.61	       | ~ demorgan2a1),
0.43/0.61	    inference('cnf', [status(esa)], [demorgan2a1])).
0.43/0.61	tff('16', plain, demorgan2a1, inference('cnf', [status(esa)], [zf_stmt_0])).
0.43/0.61	tff('17', plain,
0.43/0.61	    ![X9, X10, X11, X12]:
0.43/0.61	      (~ in(X9, powerset(X10))
0.43/0.61	       | ~ in(X11, X10)
0.43/0.61	       | in(X11, setminus(X10, X9))
0.43/0.61	       | ~ in(X11, setminus(X10, binunion(X9, X12)))
0.43/0.61	       | ~ in(X12, powerset(X10))
0.43/0.61	       | ~ $true),
0.43/0.61	    inference('demod', [status(thm)], ['15', '16'])).
0.43/0.61	tff('18', plain,
0.43/0.61	    ![X9, X10, X11, X12]:
0.43/0.61	      (~ in(X12, powerset(X10))
0.43/0.61	       | ~ in(X11, setminus(X10, binunion(X9, X12)))
0.43/0.61	       | in(X11, setminus(X10, X9))
0.43/0.61	       | ~ in(X11, X10)
0.43/0.61	       | ~ in(X9, powerset(X10))),
0.43/0.61	    inference('simplify', [status(thm)], ['17'])).
0.43/0.61	tff('19', plain,
0.43/0.61	    ![X0, X1, X2, X3, X4]:
0.43/0.61	      (~ $true
0.43/0.61	       | ~ in(setminus(X2, binunion(X1, X0)), powerset(X3))
0.43/0.61	       | in(setminus(X2, binunion(X1, X0)), powerset(X4))
0.43/0.61	       | ~ in(X4, powerset(X3))
0.43/0.61	       | ~ in(X1, powerset(X2))
0.43/0.61	       | ~ in(sk_Xx(X4, setminus(X2, binunion(X1, X0)), X3), X2)
0.43/0.61	       | in(sk_Xx(X4, setminus(X2, binunion(X1, X0)), X3), setminus(X2, X1))
0.43/0.61	       | ~ in(X0, powerset(X2))),
0.43/0.61	    inference('sup-', [status(thm)], ['14', '18'])).
0.43/0.61	tff('20', plain,
0.43/0.61	    ![X0, X1, X2, X3, X4]:
0.43/0.61	      (~ in(X0, powerset(X2))
0.43/0.61	       | in(sk_Xx(X4, setminus(X2, binunion(X1, X0)), X3), setminus(X2, X1))
0.43/0.61	       | ~ in(sk_Xx(X4, setminus(X2, binunion(X1, X0)), X3), X2)
0.43/0.61	       | ~ in(X1, powerset(X2))
0.43/0.61	       | ~ in(X4, powerset(X3))
0.43/0.61	       | in(setminus(X2, binunion(X1, X0)), powerset(X4))
0.43/0.61	       | ~ in(setminus(X2, binunion(X1, X0)), powerset(X3))),
0.43/0.61	    inference('simplify', [status(thm)], ['19'])).
0.43/0.61	tff('21', plain,
0.43/0.61	    ![X5, X6, X7]:
0.43/0.61	      (~ in(X5, powerset(X6))
0.43/0.61	       | ~ in(sk_Xx(X7, X5, X6), X7)
0.43/0.61	       | in(X5, powerset(X7))
0.43/0.61	       | ~ in(X7, powerset(X6))
0.43/0.61	       | ~ powersetTI1),
0.43/0.61	    inference('cnf', [status(esa)], [powersetTI1])).
0.43/0.61	tff('22', plain,
0.43/0.61	    ![X5, X6, X7]:
0.43/0.61	      (~ in(X5, powerset(X6))
0.43/0.61	       | ~ in(sk_Xx(X7, X5, X6), X7)
0.43/0.61	       | in(X5, powerset(X7))
0.43/0.61	       | ~ in(X7, powerset(X6))
0.43/0.61	       | ~ $true),
0.43/0.61	    inference('demod', [status(thm)], ['21', '9'])).
0.43/0.61	tff('23', plain,
0.43/0.61	    ![X5, X6, X7]:
0.43/0.61	      (~ in(X7, powerset(X6))
0.43/0.61	       | in(X5, powerset(X7))
0.43/0.61	       | ~ in(sk_Xx(X7, X5, X6), X7)
0.43/0.61	       | ~ in(X5, powerset(X6))),
0.43/0.61	    inference('simplify', [status(thm)], ['22'])).
0.43/0.61	tff('24', plain,
0.43/0.61	    ![X0, X1, X2, X3]:
0.43/0.61	      (~ $true
0.43/0.61	       | ~ in(setminus(X1, binunion(X0, X3)), powerset(X2))
0.43/0.61	       | in(setminus(X1, binunion(X0, X3)), powerset(setminus(X1, X0)))
0.43/0.61	       | ~ in(setminus(X1, X0), powerset(X2))
0.43/0.61	       | ~ in(X0, powerset(X1))
0.43/0.61	       | ~ in(sk_Xx(setminus(X1, X0), setminus(X1, binunion(X0, X3)), X2), 
0.43/0.61	             X1)
0.43/0.61	       | ~ in(X3, powerset(X1))
0.43/0.61	       | ~ in(setminus(X1, binunion(X0, X3)), powerset(X2))
0.43/0.61	       | in(setminus(X1, binunion(X0, X3)), powerset(setminus(X1, X0)))
0.43/0.61	       | ~ in(setminus(X1, X0), powerset(X2))),
0.43/0.61	    inference('sup-', [status(thm)], ['20', '23'])).
0.43/0.61	tff('25', plain,
0.43/0.61	    ![X0, X1, X2, X3]:
0.43/0.61	      (~ in(X3, powerset(X1))
0.43/0.61	       | ~ in(sk_Xx(setminus(X1, X0), setminus(X1, binunion(X0, X3)), X2), 
0.43/0.61	             X1)
0.43/0.61	       | ~ in(X0, powerset(X1))
0.43/0.61	       | ~ in(setminus(X1, X0), powerset(X2))
0.43/0.61	       | in(setminus(X1, binunion(X0, X3)), powerset(setminus(X1, X0)))
0.43/0.61	       | ~ in(setminus(X1, binunion(X0, X3)), powerset(X2))),
0.43/0.61	    inference('simplify', [status(thm)], ['24'])).
0.43/0.61	tff('26', plain,
0.43/0.61	    ![X0, X1, X2]:
0.43/0.61	      (~ $true
0.43/0.61	       | ~ in(setminus(X0, binunion(X2, X1)), powerset(X0))
0.43/0.61	       | in(setminus(X0, binunion(X2, X1)), powerset(setminus(X0, X2)))
0.43/0.61	       | ~ in(setminus(X0, X2), powerset(X0))
0.43/0.61	       | ~ in(setminus(X0, binunion(X2, X1)), powerset(X0))
0.43/0.61	       | in(setminus(X0, binunion(X2, X1)), powerset(setminus(X0, X2)))
0.43/0.61	       | ~ in(setminus(X0, X2), powerset(X0))
0.43/0.61	       | ~ in(X2, powerset(X0))
0.43/0.61	       | ~ in(X1, powerset(X0))),
0.43/0.61	    inference('sup-', [status(thm)], ['11', '25'])).
0.43/0.61	tff('27', plain,
0.43/0.61	    ![X0, X1, X2]:
0.43/0.61	      (~ in(X1, powerset(X0))
0.43/0.61	       | ~ in(X2, powerset(X0))
0.43/0.61	       | ~ in(setminus(X0, X2), powerset(X0))
0.43/0.61	       | in(setminus(X0, binunion(X2, X1)), powerset(setminus(X0, X2)))
0.43/0.61	       | ~ in(setminus(X0, binunion(X2, X1)), powerset(X0))),
0.43/0.61	    inference('simplify', [status(thm)], ['26'])).
0.43/0.61	tff('28', plain,
0.43/0.61	    ![X0, X1, X2]:
0.43/0.61	      (~ in(setminus(X0, binunion(X2, X1)), powerset(X0))
0.43/0.61	       | in(setminus(X0, binunion(X2, X1)), powerset(setminus(X0, X2)))
0.43/0.61	       | ~ in(X2, powerset(X0))
0.43/0.61	       | ~ in(X1, powerset(X0))),
0.43/0.61	    inference('clc', [status(thm)], ['27', '7'])).
0.43/0.61	tff('29', plain,
0.43/0.61	    ~ in(setminus(sk_A4, binunion(sk_X4, sk_Y3)), 
0.43/0.61	        powerset(setminus(sk_A4, sk_X4))),
0.43/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.43/0.61	tff('30', plain,
0.43/0.61	    (~ $true
0.43/0.61	     | ~ in(sk_Y3, powerset(sk_A4))
0.43/0.61	     | ~ in(sk_X4, powerset(sk_A4))
0.43/0.61	     | ~ in(setminus(sk_A4, binunion(sk_X4, sk_Y3)), powerset(sk_A4))),
0.43/0.61	    inference('sup-', [status(thm)], ['28', '29'])).
0.43/0.61	tff('31', plain, in(sk_Y3, powerset(sk_A4)),
0.43/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.43/0.61	tff('32', plain, in(sk_X4, powerset(sk_A4)),
0.43/0.61	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.43/0.61	tff('33', plain,
0.43/0.61	    (~ $true
0.43/0.61	     | ~ $true
0.43/0.61	     | ~ $true
0.43/0.61	     | ~ in(setminus(sk_A4, binunion(sk_X4, sk_Y3)), powerset(sk_A4))),
0.43/0.61	    inference('demod', [status(thm)], ['30', '31', '32'])).
0.43/0.61	tff('34', plain,
0.43/0.61	    ~ in(setminus(sk_A4, binunion(sk_X4, sk_Y3)), powerset(sk_A4)),
0.43/0.61	    inference('simplify', [status(thm)], ['33'])).
0.43/0.61	tff('35', plain, (~ $true | ~ in(binunion(sk_X4, sk_Y3), powerset(sk_A4))),
0.43/0.61	    inference('sup-', [status(thm)], ['7', '34'])).
0.43/0.61	tff('36', plain, ~ in(binunion(sk_X4, sk_Y3), powerset(sk_A4)),
0.43/0.61	    inference('simplify', [status(thm)], ['35'])).
0.43/0.61	tff('37', plain,
0.43/0.61	    (~ $true | ~ in(sk_X4, powerset(sk_A4)) | ~ in(sk_Y3, powerset(sk_A4))),
0.43/0.61	    inference('sup-', [status(thm)], ['3', '36'])).
0.43/0.61	tff('38', plain, (~ $true | ~ $true | ~ $true),
0.43/0.61	    inference('demod', [status(thm)], ['37', '32', '31'])).
0.43/0.61	tff('39', plain, $false, inference('simplify', [status(thm)], ['38'])).
0.43/0.61	
0.43/0.61	% SZS output end Refutation
0.43/0.61	EOF
