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   : n038.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 17:16:39 CST 2018
0.00/0.23	% done 65 iterations in 0.031s
0.00/0.23	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.23	% SZS output start Refutation
0.00/0.23	tff(subsetTI, axiom,
0.00/0.23	  (subsetTI <=>
0.00/0.23	   (![A,X]:
0.00/0.23	      (in(X,powerset(A)) =>
0.00/0.23	       (![Y]:
0.00/0.23	          (in(Y,powerset(A)) =>
0.00/0.23	           ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => subset(X,Y)))))))).
0.00/0.23	tff('0', plain,
0.00/0.23	    ![X9, X10, X11]:
0.00/0.23	      (~ in(X9, powerset(X10))
0.00/0.23	       | in(sk_Xx3(X11, X9, X10), X10)
0.00/0.23	       | subset(X9, X11)
0.00/0.23	       | ~ in(X11, powerset(X10))
0.00/0.23	       | ~ subsetTI),
0.00/0.23	    inference('cnf', [status(esa)], [subsetTI])).
0.00/0.23	tff(contrasubsetT3, conjecture,
0.00/0.23	  (subsetE =>
0.00/0.23	   (setminusI =>
0.00/0.23	    (setminusER =>
0.00/0.23	     (subsetTI =>
0.00/0.23	      (![A,X]:
0.00/0.23	         (in(X,powerset(A)) =>
0.00/0.23	          (![Y]:
0.00/0.23	             (in(Y,powerset(A)) =>
0.00/0.23	              (subset(setminus(A,Y),setminus(A,X)) => subset(X,Y))))))))))).
0.00/0.23	tff(zf_stmt_0, negated_conjecture,
0.00/0.23	  (~
0.00/0.23	    (subsetE =>
0.00/0.23	     (setminusI =>
0.00/0.23	      (setminusER =>
0.00/0.23	       (subsetTI =>
0.00/0.23	        (![A,X]:
0.00/0.23	           (in(X,powerset(A)) =>
0.00/0.23	            (![Y]:
0.00/0.23	               (in(Y,powerset(A)) =>
0.00/0.23	                (subset(setminus(A,Y),setminus(A,X)) => subset(X,Y)))))))))))).
0.00/0.23	tff('1', plain, subsetTI, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('2', plain,
0.00/0.23	    ![X9, X10, X11]:
0.00/0.23	      (~ in(X9, powerset(X10))
0.00/0.23	       | in(sk_Xx3(X11, X9, X10), X10)
0.00/0.23	       | subset(X9, X11)
0.00/0.23	       | ~ in(X11, powerset(X10))
0.00/0.23	       | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['0', '1'])).
0.00/0.23	tff('3', plain,
0.00/0.23	    ![X9, X10, X11]:
0.00/0.23	      (~ in(X11, powerset(X10))
0.00/0.23	       | subset(X9, X11)
0.00/0.23	       | in(sk_Xx3(X11, X9, X10), X10)
0.00/0.23	       | ~ in(X9, powerset(X10))),
0.00/0.23	    inference('simplify', [status(thm)], ['2'])).
0.00/0.23	tff('4', plain,
0.00/0.23	    ![X9, X10, X11]:
0.00/0.23	      (~ in(X9, powerset(X10))
0.00/0.23	       | in(sk_Xx3(X11, X9, X10), X9)
0.00/0.23	       | subset(X9, X11)
0.00/0.23	       | ~ in(X11, powerset(X10))
0.00/0.23	       | ~ subsetTI),
0.00/0.23	    inference('cnf', [status(esa)], [subsetTI])).
0.00/0.23	tff('5', plain,
0.00/0.23	    ![X9, X10, X11]:
0.00/0.23	      (~ in(X9, powerset(X10))
0.00/0.23	       | in(sk_Xx3(X11, X9, X10), X9)
0.00/0.23	       | subset(X9, X11)
0.00/0.23	       | ~ in(X11, powerset(X10))
0.00/0.23	       | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['4', '1'])).
0.00/0.23	tff('6', plain,
0.00/0.23	    ![X9, X10, X11]:
0.00/0.23	      (~ in(X11, powerset(X10))
0.00/0.23	       | subset(X9, X11)
0.00/0.23	       | in(sk_Xx3(X11, X9, X10), X9)
0.00/0.23	       | ~ in(X9, powerset(X10))),
0.00/0.23	    inference('simplify', [status(thm)], ['5'])).
0.00/0.23	tff(setminusI, axiom,
0.00/0.23	  (setminusI <=>
0.00/0.23	   (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => in(Xx,setminus(A,B))))))).
0.00/0.23	tff('7', plain,
0.00/0.23	    ![X3, X4, X5]:
0.00/0.23	      (~ in(X3, X4) | in(X3, setminus(X4, X5)) | in(X3, X5) | ~ setminusI),
0.00/0.23	    inference('cnf', [status(esa)], [setminusI])).
0.00/0.23	tff('8', plain, setminusI, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('9', plain,
0.00/0.23	    ![X3, X4, X5]:
0.00/0.23	      (~ in(X3, X4) | in(X3, setminus(X4, X5)) | in(X3, X5) | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['7', '8'])).
0.00/0.23	tff('10', plain,
0.00/0.23	    ![X3, X4, X5]: (in(X3, X5) | in(X3, setminus(X4, X5)) | ~ in(X3, X4)),
0.00/0.23	    inference('simplify', [status(thm)], ['9'])).
0.00/0.23	tff('11', plain, subset(setminus(sk_A4, sk_Y1), setminus(sk_A4, sk_X1)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff(subsetE, axiom,
0.00/0.23	  (subsetE <=> (![A,B,Xx]: (subset(A,B) => (in(Xx,A) => in(Xx,B)))))).
0.00/0.23	tff('12', plain,
0.00/0.23	    ![X0, X1, X2]: (~ in(X0, X1) | in(X0, X2) | ~ subset(X1, X2) | ~ subsetE),
0.00/0.23	    inference('cnf', [status(esa)], [subsetE])).
0.00/0.23	tff('13', plain, subsetE, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('14', plain,
0.00/0.23	    ![X0, X1, X2]: (~ in(X0, X1) | in(X0, X2) | ~ subset(X1, X2) | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['12', '13'])).
0.00/0.23	tff('15', plain,
0.00/0.23	    ![X0, X1, X2]: (~ subset(X1, X2) | in(X0, X2) | ~ in(X0, X1)),
0.00/0.23	    inference('simplify', [status(thm)], ['14'])).
0.00/0.23	tff('16', plain,
0.00/0.23	    ![X0]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ in(X0, setminus(sk_A4, sk_Y1))
0.00/0.23	       | in(X0, setminus(sk_A4, sk_X1))),
0.00/0.23	    inference('sup-', [status(thm)], ['11', '15'])).
0.00/0.23	tff('17', plain,
0.00/0.23	    ![X0]:
0.00/0.23	      (in(X0, setminus(sk_A4, sk_X1)) | ~ in(X0, setminus(sk_A4, sk_Y1))),
0.00/0.23	    inference('simplify', [status(thm)], ['16'])).
0.00/0.23	tff('18', plain,
0.00/0.23	    ![X0]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ in(X0, sk_A4)
0.00/0.23	       | in(X0, sk_Y1)
0.00/0.23	       | in(X0, setminus(sk_A4, sk_X1))),
0.00/0.23	    inference('sup-', [status(thm)], ['10', '17'])).
0.00/0.23	tff('19', plain,
0.00/0.23	    ![X0]: (in(X0, setminus(sk_A4, sk_X1)) | in(X0, sk_Y1) | ~ in(X0, sk_A4)),
0.00/0.23	    inference('simplify', [status(thm)], ['18'])).
0.00/0.23	tff('20', plain,
0.00/0.23	    ![X9, X10, X11]:
0.00/0.23	      (~ in(X9, powerset(X10))
0.00/0.23	       | ~ in(sk_Xx3(X11, X9, X10), X11)
0.00/0.23	       | subset(X9, X11)
0.00/0.23	       | ~ in(X11, powerset(X10))
0.00/0.23	       | ~ subsetTI),
0.00/0.23	    inference('cnf', [status(esa)], [subsetTI])).
0.00/0.23	tff('21', plain,
0.00/0.23	    ![X9, X10, X11]:
0.00/0.23	      (~ in(X9, powerset(X10))
0.00/0.23	       | ~ in(sk_Xx3(X11, X9, X10), X11)
0.00/0.23	       | subset(X9, X11)
0.00/0.23	       | ~ in(X11, powerset(X10))
0.00/0.23	       | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['20', '1'])).
0.00/0.23	tff('22', plain,
0.00/0.23	    ![X9, X10, X11]:
0.00/0.23	      (~ in(X11, powerset(X10))
0.00/0.23	       | subset(X9, X11)
0.00/0.23	       | ~ in(sk_Xx3(X11, X9, X10), X11)
0.00/0.23	       | ~ in(X9, powerset(X10))),
0.00/0.23	    inference('simplify', [status(thm)], ['21'])).
0.00/0.23	tff('23', plain,
0.00/0.23	    ![X0, X1]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ in(sk_Xx3(sk_Y1, X1, X0), sk_A4)
0.00/0.23	       | in(sk_Xx3(sk_Y1, X1, X0), setminus(sk_A4, sk_X1))
0.00/0.23	       | ~ in(X1, powerset(X0))
0.00/0.23	       | subset(X1, sk_Y1)
0.00/0.23	       | ~ in(sk_Y1, powerset(X0))),
0.00/0.23	    inference('sup-', [status(thm)], ['19', '22'])).
0.00/0.23	tff('24', plain,
0.00/0.23	    ![X0, X1]:
0.00/0.23	      (~ in(sk_Y1, powerset(X0))
0.00/0.23	       | subset(X1, sk_Y1)
0.00/0.23	       | ~ in(X1, powerset(X0))
0.00/0.23	       | in(sk_Xx3(sk_Y1, X1, X0), setminus(sk_A4, sk_X1))
0.00/0.23	       | ~ in(sk_Xx3(sk_Y1, X1, X0), sk_A4)),
0.00/0.23	    inference('simplify', [status(thm)], ['23'])).
0.00/0.23	tff(setminusER, axiom,
0.00/0.23	  (setminusER <=> (![A,B,Xx]: (in(Xx,setminus(A,B)) => (~in(Xx,B)))))).
0.00/0.23	tff('25', plain,
0.00/0.23	    ![X6, X7, X8]: (~ in(X6, setminus(X7, X8)) | ~ in(X6, X8) | ~ setminusER),
0.00/0.23	    inference('cnf', [status(esa)], [setminusER])).
0.00/0.23	tff('26', plain, setminusER, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('27', plain,
0.00/0.23	    ![X6, X7, X8]: (~ in(X6, setminus(X7, X8)) | ~ in(X6, X8) | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['25', '26'])).
0.00/0.23	tff('28', plain, ![X6, X7, X8]: (~ in(X6, X8) | ~ in(X6, setminus(X7, X8))),
0.00/0.23	    inference('simplify', [status(thm)], ['27'])).
0.00/0.23	tff('29', plain,
0.00/0.23	    ![X0, X1]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ in(sk_Xx3(sk_Y1, X1, X0), sk_A4)
0.00/0.23	       | ~ in(X1, powerset(X0))
0.00/0.23	       | subset(X1, sk_Y1)
0.00/0.23	       | ~ in(sk_Y1, powerset(X0))
0.00/0.23	       | ~ in(sk_Xx3(sk_Y1, X1, X0), sk_X1)),
0.00/0.23	    inference('sup-', [status(thm)], ['24', '28'])).
0.00/0.23	tff('30', plain,
0.00/0.23	    ![X0, X1]:
0.00/0.23	      (~ in(sk_Xx3(sk_Y1, X1, X0), sk_X1)
0.00/0.23	       | ~ in(sk_Y1, powerset(X0))
0.00/0.23	       | subset(X1, sk_Y1)
0.00/0.23	       | ~ in(X1, powerset(X0))
0.00/0.23	       | ~ in(sk_Xx3(sk_Y1, X1, X0), sk_A4)),
0.00/0.23	    inference('simplify', [status(thm)], ['29'])).
0.00/0.23	tff('31', plain,
0.00/0.23	    ![X0]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ in(sk_X1, powerset(X0))
0.00/0.23	       | subset(sk_X1, sk_Y1)
0.00/0.23	       | ~ in(sk_Y1, powerset(X0))
0.00/0.23	       | ~ in(sk_Xx3(sk_Y1, sk_X1, X0), sk_A4)
0.00/0.23	       | ~ in(sk_X1, powerset(X0))
0.00/0.23	       | subset(sk_X1, sk_Y1)
0.00/0.23	       | ~ in(sk_Y1, powerset(X0))),
0.00/0.23	    inference('sup-', [status(thm)], ['6', '30'])).
0.00/0.23	tff('32', plain,
0.00/0.23	    ![X0]:
0.00/0.23	      (~ in(sk_Xx3(sk_Y1, sk_X1, X0), sk_A4)
0.00/0.23	       | ~ in(sk_Y1, powerset(X0))
0.00/0.23	       | subset(sk_X1, sk_Y1)
0.00/0.23	       | ~ in(sk_X1, powerset(X0))),
0.00/0.23	    inference('simplify', [status(thm)], ['31'])).
0.00/0.23	tff('33', plain, ~ subset(sk_X1, sk_Y1),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('34', plain,
0.00/0.23	    ![X0]:
0.00/0.23	      (~ in(sk_X1, powerset(X0))
0.00/0.23	       | ~ in(sk_Y1, powerset(X0))
0.00/0.23	       | ~ in(sk_Xx3(sk_Y1, sk_X1, X0), sk_A4)),
0.00/0.23	    inference('clc', [status(thm)], ['32', '33'])).
0.00/0.23	tff('35', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | ~ in(sk_X1, powerset(sk_A4))
0.00/0.23	     | subset(sk_X1, sk_Y1)
0.00/0.23	     | ~ in(sk_Y1, powerset(sk_A4))
0.00/0.23	     | ~ in(sk_Y1, powerset(sk_A4))
0.00/0.23	     | ~ in(sk_X1, powerset(sk_A4))),
0.00/0.23	    inference('sup-', [status(thm)], ['3', '34'])).
0.00/0.23	tff('36', plain, in(sk_X1, powerset(sk_A4)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('37', plain, in(sk_Y1, powerset(sk_A4)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('38', plain,
0.00/0.23	    (~ $true | ~ $true | subset(sk_X1, sk_Y1) | ~ $true | ~ $true | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['35', '36', '37', '37', '36'])).
0.00/0.23	tff('39', plain, subset(sk_X1, sk_Y1),
0.00/0.23	    inference('simplify', [status(thm)], ['38'])).
0.00/0.23	tff('40', plain, ~ $true, inference('sup-', [status(thm)], ['39', '33'])).
0.00/0.23	tff('41', plain, $false, inference('simplify', [status(thm)], ['40'])).
0.00/0.23	
0.00/0.23	% SZS output end Refutation
0.00/0.23	EOF
