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    : purification_ext
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 ext \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --restrict-hidden-sup-at-vars \
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
0.00/0.20	% Computer   : n145.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 17:16:39 CST 2018
3.13/3.34	% done 218 iterations in 3.129s
3.13/3.34	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
3.13/3.34	% SZS output start Refutation
3.13/3.34	tff(complementT_lem, axiom,
3.13/3.34	  (complementT_lem <=>
3.13/3.34	   (![A,X]: (in(X,powerset(A)) => in(setminus(A,X),powerset(A)))))).
3.13/3.34	tff('0', plain,
3.13/3.34	    ![X0, X1]:
3.13/3.34	      (~ in(X0, powerset(X1))
3.13/3.34	       | in(setminus(X1, X0), powerset(X1))
3.13/3.34	       | ~ complementT_lem),
3.13/3.34	    inference('cnf', [status(esa)], [complementT_lem])).
3.13/3.34	tff(doubleComplementSub1, conjecture,
3.13/3.34	  (complementT_lem =>
3.13/3.34	   (subsetTI =>
3.13/3.34	    (doubleComplementI1 =>
3.13/3.34	     (![A,X]: (in(X,powerset(A)) => subset(X,setminus(A,setminus(A,X))))))))).
3.13/3.34	tff(zf_stmt_0, negated_conjecture,
3.13/3.34	  (~
3.13/3.34	    (complementT_lem =>
3.13/3.34	     (subsetTI =>
3.13/3.34	      (doubleComplementI1 =>
3.13/3.34	       (![A,X]: (in(X,powerset(A)) => subset(X,setminus(A,setminus(A,X)))))))))).
3.13/3.34	tff('1', plain, complementT_lem, inference('cnf', [status(esa)], [zf_stmt_0])).
3.13/3.34	tff('2', plain,
3.13/3.34	    ![X0, X1]:
3.13/3.34	      (~ in(X0, powerset(X1)) | in(setminus(X1, X0), powerset(X1)) | ~ $true),
3.13/3.34	    inference('demod', [status(thm)], ['0', '1'])).
3.13/3.34	tff('3', plain,
3.13/3.34	    ![X0, X1]: (in(setminus(X1, X0), powerset(X1)) | ~ in(X0, powerset(X1))),
3.13/3.34	    inference('simplify', [status(thm)], ['2'])).
3.13/3.34	tff(subsetTI, axiom,
3.13/3.34	  (subsetTI <=>
3.13/3.34	   (![A,X]:
3.13/3.34	      (in(X,powerset(A)) =>
3.13/3.34	       (![Y]:
3.13/3.34	          (in(Y,powerset(A)) =>
3.13/3.34	           ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => subset(X,Y)))))))).
3.13/3.34	tff('4', plain,
3.13/3.34	    ![X2, X3, X4]:
3.13/3.34	      (~ in(X2, powerset(X3))
3.13/3.34	       | in(sk_Xx(X4, X2, X3), X2)
3.13/3.34	       | subset(X2, X4)
3.13/3.34	       | ~ in(X4, powerset(X3))
3.13/3.34	       | ~ subsetTI),
3.13/3.34	    inference('cnf', [status(esa)], [subsetTI])).
3.13/3.34	tff('5', plain, subsetTI, inference('cnf', [status(esa)], [zf_stmt_0])).
3.13/3.34	tff('6', plain,
3.13/3.34	    ![X2, X3, X4]:
3.13/3.34	      (~ in(X2, powerset(X3))
3.13/3.34	       | in(sk_Xx(X4, X2, X3), X2)
3.13/3.34	       | subset(X2, X4)
3.13/3.34	       | ~ in(X4, powerset(X3))
3.13/3.34	       | ~ $true),
3.13/3.34	    inference('demod', [status(thm)], ['4', '5'])).
3.13/3.34	tff('7', plain,
3.13/3.34	    ![X2, X3, X4]:
3.13/3.34	      (~ in(X4, powerset(X3))
3.13/3.34	       | subset(X2, X4)
3.13/3.34	       | in(sk_Xx(X4, X2, X3), X2)
3.13/3.34	       | ~ in(X2, powerset(X3))),
3.13/3.34	    inference('simplify', [status(thm)], ['6'])).
3.13/3.34	tff('8', plain,
3.13/3.34	    ![X2, X3, X4]:
3.13/3.34	      (~ in(X2, powerset(X3))
3.13/3.34	       | in(sk_Xx(X4, X2, X3), X3)
3.13/3.34	       | subset(X2, X4)
3.13/3.34	       | ~ in(X4, powerset(X3))
3.13/3.34	       | ~ subsetTI),
3.13/3.34	    inference('cnf', [status(esa)], [subsetTI])).
3.13/3.34	tff('9', plain,
3.13/3.34	    ![X2, X3, X4]:
3.13/3.34	      (~ in(X2, powerset(X3))
3.13/3.34	       | in(sk_Xx(X4, X2, X3), X3)
3.13/3.34	       | subset(X2, X4)
3.13/3.34	       | ~ in(X4, powerset(X3))
3.13/3.34	       | ~ $true),
3.13/3.34	    inference('demod', [status(thm)], ['8', '5'])).
3.13/3.34	tff('10', plain,
3.13/3.34	    ![X2, X3, X4]:
3.13/3.34	      (~ in(X4, powerset(X3))
3.13/3.34	       | subset(X2, X4)
3.13/3.34	       | in(sk_Xx(X4, X2, X3), X3)
3.13/3.34	       | ~ in(X2, powerset(X3))),
3.13/3.34	    inference('simplify', [status(thm)], ['9'])).
3.13/3.34	tff(doubleComplementI1, axiom,
3.13/3.34	  (doubleComplementI1 <=>
3.13/3.34	   (![A,X]:
3.13/3.34	      (in(X,powerset(A)) =>
3.13/3.34	       (![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,setminus(A,setminus(A,X)))))))))).
3.13/3.34	tff('11', plain,
3.13/3.34	    ![X6, X7, X8]:
3.13/3.34	      (~ in(X6, powerset(X7))
3.13/3.34	       | ~ in(X8, X6)
3.13/3.34	       | in(X8, setminus(X7, setminus(X7, X6)))
3.13/3.34	       | ~ in(X8, X7)
3.13/3.34	       | ~ doubleComplementI1),
3.13/3.34	    inference('cnf', [status(esa)], [doubleComplementI1])).
3.13/3.34	tff('12', plain, doubleComplementI1,
3.13/3.34	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.13/3.34	tff('13', plain,
3.13/3.34	    ![X6, X7, X8]:
3.13/3.34	      (~ in(X6, powerset(X7))
3.13/3.34	       | ~ in(X8, X6)
3.13/3.34	       | in(X8, setminus(X7, setminus(X7, X6)))
3.13/3.34	       | ~ in(X8, X7)
3.13/3.34	       | ~ $true),
3.13/3.34	    inference('demod', [status(thm)], ['11', '12'])).
3.13/3.34	tff('14', plain,
3.13/3.34	    ![X6, X7, X8]:
3.13/3.34	      (~ in(X8, X7)
3.13/3.34	       | in(X8, setminus(X7, setminus(X7, X6)))
3.13/3.34	       | ~ in(X8, X6)
3.13/3.34	       | ~ in(X6, powerset(X7))),
3.13/3.34	    inference('simplify', [status(thm)], ['13'])).
3.13/3.34	tff('15', plain,
3.13/3.34	    ![X2, X3, X4]:
3.13/3.34	      (~ in(X2, powerset(X3))
3.13/3.34	       | ~ in(sk_Xx(X4, X2, X3), X4)
3.13/3.34	       | subset(X2, X4)
3.13/3.34	       | ~ in(X4, powerset(X3))
3.13/3.34	       | ~ subsetTI),
3.13/3.34	    inference('cnf', [status(esa)], [subsetTI])).
3.13/3.34	tff('16', plain,
3.13/3.34	    ![X2, X3, X4]:
3.13/3.34	      (~ in(X2, powerset(X3))
3.13/3.34	       | ~ in(sk_Xx(X4, X2, X3), X4)
3.13/3.34	       | subset(X2, X4)
3.13/3.34	       | ~ in(X4, powerset(X3))
3.13/3.34	       | ~ $true),
3.13/3.34	    inference('demod', [status(thm)], ['15', '5'])).
3.13/3.34	tff('17', plain,
3.13/3.34	    ![X2, X3, X4]:
3.13/3.34	      (~ in(X4, powerset(X3))
3.13/3.34	       | subset(X2, X4)
3.13/3.34	       | ~ in(sk_Xx(X4, X2, X3), X4)
3.13/3.34	       | ~ in(X2, powerset(X3))),
3.13/3.34	    inference('simplify', [status(thm)], ['16'])).
3.13/3.34	tff('18', plain,
3.13/3.34	    ![X0, X1, X2, X3]:
3.13/3.34	      (~ $true
3.13/3.34	       | ~ in(X0, powerset(X1))
3.13/3.34	       | ~ in(sk_Xx(setminus(X1, setminus(X1, X0)), X3, X2), X0)
3.13/3.34	       | ~ in(sk_Xx(setminus(X1, setminus(X1, X0)), X3, X2), X1)
3.13/3.34	       | ~ in(X3, powerset(X2))
3.13/3.34	       | subset(X3, setminus(X1, setminus(X1, X0)))
3.13/3.34	       | ~ in(setminus(X1, setminus(X1, X0)), powerset(X2))),
3.13/3.34	    inference('sup-', [status(thm)], ['14', '17'])).
3.13/3.34	tff('19', plain,
3.13/3.34	    ![X0, X1, X2, X3]:
3.13/3.34	      (~ in(setminus(X1, setminus(X1, X0)), powerset(X2))
3.13/3.34	       | subset(X3, setminus(X1, setminus(X1, X0)))
3.13/3.34	       | ~ in(X3, powerset(X2))
3.13/3.34	       | ~ in(sk_Xx(setminus(X1, setminus(X1, X0)), X3, X2), X1)
3.13/3.34	       | ~ in(sk_Xx(setminus(X1, setminus(X1, X0)), X3, X2), X0)
3.13/3.34	       | ~ in(X0, powerset(X1))),
3.13/3.34	    inference('simplify', [status(thm)], ['18'])).
3.13/3.34	tff('20', plain,
3.13/3.34	    ![X0, X1, X2]:
3.13/3.34	      (~ $true
3.13/3.34	       | ~ in(X1, powerset(X0))
3.13/3.34	       | subset(X1, setminus(X0, setminus(X0, X2)))
3.13/3.34	       | ~ in(setminus(X0, setminus(X0, X2)), powerset(X0))
3.13/3.34	       | ~ in(X2, powerset(X0))
3.13/3.34	       | ~ in(sk_Xx(setminus(X0, setminus(X0, X2)), X1, X0), X2)
3.13/3.34	       | ~ in(X1, powerset(X0))
3.13/3.34	       | subset(X1, setminus(X0, setminus(X0, X2)))
3.13/3.34	       | ~ in(setminus(X0, setminus(X0, X2)), powerset(X0))),
3.13/3.34	    inference('sup-', [status(thm)], ['10', '19'])).
3.13/3.34	tff('21', plain,
3.13/3.34	    ![X0, X1, X2]:
3.13/3.34	      (~ in(sk_Xx(setminus(X0, setminus(X0, X2)), X1, X0), X2)
3.13/3.34	       | ~ in(X2, powerset(X0))
3.13/3.34	       | ~ in(setminus(X0, setminus(X0, X2)), powerset(X0))
3.13/3.34	       | subset(X1, setminus(X0, setminus(X0, X2)))
3.13/3.34	       | ~ in(X1, powerset(X0))),
3.13/3.34	    inference('simplify', [status(thm)], ['20'])).
3.13/3.34	tff('22', plain,
3.13/3.34	    ![X0, X1]:
3.13/3.34	      (~ $true
3.13/3.34	       | ~ in(X0, powerset(X1))
3.13/3.34	       | subset(X0, setminus(X1, setminus(X1, X0)))
3.13/3.34	       | ~ in(setminus(X1, setminus(X1, X0)), powerset(X1))
3.13/3.34	       | ~ in(X0, powerset(X1))
3.13/3.34	       | subset(X0, setminus(X1, setminus(X1, X0)))
3.13/3.34	       | ~ in(setminus(X1, setminus(X1, X0)), powerset(X1))
3.13/3.34	       | ~ in(X0, powerset(X1))),
3.13/3.34	    inference('sup-', [status(thm)], ['7', '21'])).
3.13/3.34	tff('23', plain,
3.13/3.34	    ![X0, X1]:
3.13/3.34	      (~ in(setminus(X1, setminus(X1, X0)), powerset(X1))
3.13/3.34	       | subset(X0, setminus(X1, setminus(X1, X0)))
3.13/3.34	       | ~ in(X0, powerset(X1))),
3.13/3.34	    inference('simplify', [status(thm)], ['22'])).
3.13/3.34	tff('24', plain, ~ subset(sk_X3, setminus(sk_A3, setminus(sk_A3, sk_X3))),
3.13/3.34	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.13/3.34	tff('25', plain,
3.13/3.34	    (~ $true
3.13/3.34	     | ~ in(sk_X3, powerset(sk_A3))
3.13/3.34	     | ~ in(setminus(sk_A3, setminus(sk_A3, sk_X3)), powerset(sk_A3))),
3.13/3.34	    inference('sup-', [status(thm)], ['23', '24'])).
3.13/3.34	tff('26', plain, in(sk_X3, powerset(sk_A3)),
3.13/3.34	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.13/3.34	tff('27', plain,
3.13/3.34	    (~ $true
3.13/3.34	     | ~ $true
3.13/3.34	     | ~ in(setminus(sk_A3, setminus(sk_A3, sk_X3)), powerset(sk_A3))),
3.13/3.34	    inference('demod', [status(thm)], ['25', '26'])).
3.13/3.34	tff('28', plain,
3.13/3.34	    ~ in(setminus(sk_A3, setminus(sk_A3, sk_X3)), powerset(sk_A3)),
3.13/3.34	    inference('simplify', [status(thm)], ['27'])).
3.13/3.34	tff('29', plain, (~ $true | ~ in(setminus(sk_A3, sk_X3), powerset(sk_A3))),
3.13/3.34	    inference('sup-', [status(thm)], ['3', '28'])).
3.13/3.34	tff('30', plain, ~ in(setminus(sk_A3, sk_X3), powerset(sk_A3)),
3.13/3.34	    inference('simplify', [status(thm)], ['29'])).
3.13/3.34	tff('31', plain, (~ $true | ~ in(sk_X3, powerset(sk_A3))),
3.13/3.34	    inference('sup-', [status(thm)], ['3', '30'])).
3.13/3.34	tff('32', plain, (~ $true | ~ $true),
3.13/3.34	    inference('demod', [status(thm)], ['31', '26'])).
3.13/3.34	tff('33', plain, $false, inference('simplify', [status(thm)], ['32'])).
3.13/3.34	
3.13/3.34	% SZS output end Refutation
3.13/3.34	EOF
