0.00/0.01	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : supatvars_int
0.00/0.01	% Ordering    : rpo6
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	  --ho-no-ext-pos \
0.00/0.01	  --ho-no-ext-neg \
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   : n082.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 17:17:25 CST 2018
0.00/0.24	% done 58 iterations in 0.035s
0.00/0.24	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.24	% SZS output start Refutation
0.00/0.25	tff(complementT_lem, axiom,
0.00/0.25	  (complementT_lem <=>
0.00/0.25	   (![A,X]: (in(X,powerset(A)) => in(setminus(A,X),powerset(A)))))).
0.00/0.25	tff('0', plain,
0.00/0.25	    ![X0, X1]:
0.00/0.25	      (~ in(X0, powerset(X1))
0.00/0.25	       | in(setminus(X1, X0), powerset(X1))
0.00/0.25	       | ~ complementT_lem),
0.00/0.25	    inference('cnf', [status(esa)], [complementT_lem])).
0.00/0.25	tff(complementTcontraSubset, conjecture,
0.00/0.25	  (complementT_lem =>
0.00/0.25	   (subsetTI =>
0.00/0.25	    (contraSubsetComplement =>
0.00/0.25	     (![A,X]:
0.00/0.25	        (in(X,powerset(A)) =>
0.00/0.25	         (![Y]:
0.00/0.25	            (in(Y,powerset(A)) =>
0.00/0.25	             (subset(X,setminus(A,Y)) => subset(Y,setminus(A,X))))))))))).
0.00/0.25	tff(zf_stmt_0, negated_conjecture,
0.00/0.25	  (~
0.00/0.25	    (complementT_lem =>
0.00/0.25	     (subsetTI =>
0.00/0.25	      (contraSubsetComplement =>
0.00/0.25	       (![A,X]:
0.00/0.25	          (in(X,powerset(A)) =>
0.00/0.25	           (![Y]:
0.00/0.25	              (in(Y,powerset(A)) =>
0.00/0.25	               (subset(X,setminus(A,Y)) => subset(Y,setminus(A,X)))))))))))).
0.00/0.25	tff('1', plain, complementT_lem, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff('2', plain,
0.00/0.25	    ![X0, X1]:
0.00/0.25	      (~ in(X0, powerset(X1)) | in(setminus(X1, X0), powerset(X1)) | ~ $true),
0.00/0.25	    inference('demod', [status(thm)], ['0', '1'])).
0.00/0.25	tff('3', plain,
0.00/0.25	    ![X0, X1]: (in(setminus(X1, X0), powerset(X1)) | ~ in(X0, powerset(X1))),
0.00/0.25	    inference('simplify', [status(thm)], ['2'])).
0.00/0.25	tff(subsetTI, axiom,
0.00/0.25	  (subsetTI <=>
0.00/0.25	   (![A,X]:
0.00/0.25	      (in(X,powerset(A)) =>
0.00/0.25	       (![Y]:
0.00/0.25	          (in(Y,powerset(A)) =>
0.00/0.25	           ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => subset(X,Y)))))))).
0.00/0.25	tff('4', plain,
0.00/0.25	    ![X2, X3, X4]:
0.00/0.25	      (~ in(X2, powerset(X3))
0.00/0.25	       | in(sk_Xx(X4, X2, X3), X3)
0.00/0.25	       | subset(X2, X4)
0.00/0.25	       | ~ in(X4, powerset(X3))
0.00/0.25	       | ~ subsetTI),
0.00/0.25	    inference('cnf', [status(esa)], [subsetTI])).
0.00/0.25	tff('5', plain, subsetTI, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff('6', plain,
0.00/0.25	    ![X2, X3, X4]:
0.00/0.25	      (~ in(X2, powerset(X3))
0.00/0.25	       | in(sk_Xx(X4, X2, X3), X3)
0.00/0.25	       | subset(X2, X4)
0.00/0.25	       | ~ in(X4, powerset(X3))
0.00/0.25	       | ~ $true),
0.00/0.25	    inference('demod', [status(thm)], ['4', '5'])).
0.00/0.25	tff('7', plain,
0.00/0.25	    ![X2, X3, X4]:
0.00/0.25	      (~ in(X4, powerset(X3))
0.00/0.25	       | subset(X2, X4)
0.00/0.25	       | in(sk_Xx(X4, X2, X3), X3)
0.00/0.25	       | ~ in(X2, powerset(X3))),
0.00/0.25	    inference('simplify', [status(thm)], ['6'])).
0.00/0.25	tff('8', plain, subset(sk_X3, setminus(sk_A3, sk_Y2)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff('9', plain,
0.00/0.25	    ![X2, X3, X4]:
0.00/0.25	      (~ in(X2, powerset(X3))
0.00/0.25	       | in(sk_Xx(X4, X2, X3), X2)
0.00/0.25	       | subset(X2, X4)
0.00/0.25	       | ~ in(X4, powerset(X3))
0.00/0.25	       | ~ subsetTI),
0.00/0.25	    inference('cnf', [status(esa)], [subsetTI])).
0.00/0.25	tff('10', plain,
0.00/0.25	    ![X2, X3, X4]:
0.00/0.25	      (~ in(X2, powerset(X3))
0.00/0.25	       | in(sk_Xx(X4, X2, X3), X2)
0.00/0.25	       | subset(X2, X4)
0.00/0.25	       | ~ in(X4, powerset(X3))
0.00/0.25	       | ~ $true),
0.00/0.25	    inference('demod', [status(thm)], ['9', '5'])).
0.00/0.25	tff('11', plain,
0.00/0.25	    ![X2, X3, X4]:
0.00/0.25	      (~ in(X4, powerset(X3))
0.00/0.25	       | subset(X2, X4)
0.00/0.25	       | in(sk_Xx(X4, X2, X3), X2)
0.00/0.25	       | ~ in(X2, powerset(X3))),
0.00/0.25	    inference('simplify', [status(thm)], ['10'])).
0.00/0.25	tff(contraSubsetComplement, axiom,
0.00/0.25	  (contraSubsetComplement <=>
0.00/0.25	   (![A,X]:
0.00/0.25	      (in(X,powerset(A)) =>
0.00/0.25	       (![Y]:
0.00/0.25	          (in(Y,powerset(A)) =>
0.00/0.25	           (subset(X,setminus(A,Y)) =>
0.00/0.25	            (![Xx]: (in(Xx,A) => (in(Xx,Y) => in(Xx,setminus(A,X)))))))))))).
0.00/0.25	tff('12', plain,
0.00/0.25	    ![X6, X7, X8, X9]:
0.00/0.25	      (~ in(X6, powerset(X7))
0.00/0.25	       | ~ subset(X6, setminus(X7, X8))
0.00/0.25	       | ~ in(X9, X7)
0.00/0.25	       | in(X9, setminus(X7, X6))
0.00/0.25	       | ~ in(X9, X8)
0.00/0.25	       | ~ in(X8, powerset(X7))
0.00/0.25	       | ~ contraSubsetComplement),
0.00/0.25	    inference('cnf', [status(esa)], [contraSubsetComplement])).
0.00/0.25	tff('13', plain, contraSubsetComplement,
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff('14', plain,
0.00/0.25	    ![X6, X7, X8, X9]:
0.00/0.25	      (~ in(X6, powerset(X7))
0.00/0.25	       | ~ subset(X6, setminus(X7, X8))
0.00/0.25	       | ~ in(X9, X7)
0.00/0.25	       | in(X9, setminus(X7, X6))
0.00/0.25	       | ~ in(X9, X8)
0.00/0.25	       | ~ in(X8, powerset(X7))
0.00/0.25	       | ~ $true),
0.00/0.25	    inference('demod', [status(thm)], ['12', '13'])).
0.00/0.25	tff('15', plain,
0.00/0.25	    ![X6, X7, X8, X9]:
0.00/0.25	      (~ in(X8, powerset(X7))
0.00/0.25	       | ~ in(X9, X8)
0.00/0.25	       | in(X9, setminus(X7, X6))
0.00/0.25	       | ~ in(X9, X7)
0.00/0.25	       | ~ subset(X6, setminus(X7, X8))
0.00/0.25	       | ~ in(X6, powerset(X7))),
0.00/0.25	    inference('simplify', [status(thm)], ['14'])).
0.00/0.25	tff('16', plain,
0.00/0.25	    ![X0, X1, X2, X3, X4]:
0.00/0.25	      (~ $true
0.00/0.25	       | ~ in(X0, powerset(X1))
0.00/0.25	       | subset(X0, X2)
0.00/0.25	       | ~ in(X2, powerset(X1))
0.00/0.25	       | ~ in(X4, powerset(X3))
0.00/0.25	       | ~ subset(X4, setminus(X3, X0))
0.00/0.25	       | ~ in(sk_Xx(X2, X0, X1), X3)
0.00/0.25	       | in(sk_Xx(X2, X0, X1), setminus(X3, X4))
0.00/0.25	       | ~ in(X0, powerset(X3))),
0.00/0.25	    inference('sup-', [status(thm)], ['11', '15'])).
0.00/0.25	tff('17', plain,
0.00/0.25	    ![X0, X1, X2, X3, X4]:
0.00/0.25	      (~ in(X0, powerset(X3))
0.00/0.25	       | in(sk_Xx(X2, X0, X1), setminus(X3, X4))
0.00/0.25	       | ~ in(sk_Xx(X2, X0, X1), X3)
0.00/0.25	       | ~ subset(X4, setminus(X3, X0))
0.00/0.25	       | ~ in(X4, powerset(X3))
0.00/0.25	       | ~ in(X2, powerset(X1))
0.00/0.25	       | subset(X0, X2)
0.00/0.25	       | ~ in(X0, powerset(X1))),
0.00/0.25	    inference('simplify', [status(thm)], ['16'])).
0.00/0.25	tff('18', plain,
0.00/0.25	    ![X0, X1]:
0.00/0.25	      (~ $true
0.00/0.25	       | ~ in(sk_Y2, powerset(X0))
0.00/0.25	       | subset(sk_Y2, X1)
0.00/0.25	       | ~ in(X1, powerset(X0))
0.00/0.25	       | ~ in(sk_X3, powerset(sk_A3))
0.00/0.25	       | ~ in(sk_Xx(X1, sk_Y2, X0), sk_A3)
0.00/0.25	       | in(sk_Xx(X1, sk_Y2, X0), setminus(sk_A3, sk_X3))
0.00/0.25	       | ~ in(sk_Y2, powerset(sk_A3))),
0.00/0.25	    inference('sup-', [status(thm)], ['8', '17'])).
0.00/0.25	tff('19', plain, in(sk_X3, powerset(sk_A3)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff('20', plain, in(sk_Y2, powerset(sk_A3)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff('21', plain,
0.00/0.25	    ![X0, X1]:
0.00/0.25	      (~ $true
0.00/0.25	       | ~ in(sk_Y2, powerset(X0))
0.00/0.25	       | subset(sk_Y2, X1)
0.00/0.25	       | ~ in(X1, powerset(X0))
0.00/0.25	       | ~ $true
0.00/0.25	       | ~ in(sk_Xx(X1, sk_Y2, X0), sk_A3)
0.00/0.25	       | in(sk_Xx(X1, sk_Y2, X0), setminus(sk_A3, sk_X3))
0.00/0.25	       | ~ $true),
0.00/0.25	    inference('demod', [status(thm)], ['18', '19', '20'])).
0.00/0.25	tff('22', plain,
0.00/0.25	    ![X0, X1]:
0.00/0.25	      (in(sk_Xx(X1, sk_Y2, X0), setminus(sk_A3, sk_X3))
0.00/0.25	       | ~ in(sk_Xx(X1, sk_Y2, X0), sk_A3)
0.00/0.25	       | ~ in(X1, powerset(X0))
0.00/0.25	       | subset(sk_Y2, X1)
0.00/0.25	       | ~ in(sk_Y2, powerset(X0))),
0.00/0.25	    inference('simplify', [status(thm)], ['21'])).
0.00/0.25	tff('23', plain,
0.00/0.25	    ![X2, X3, X4]:
0.00/0.25	      (~ in(X2, powerset(X3))
0.00/0.25	       | ~ in(sk_Xx(X4, X2, X3), X4)
0.00/0.25	       | subset(X2, X4)
0.00/0.25	       | ~ in(X4, powerset(X3))
0.00/0.25	       | ~ subsetTI),
0.00/0.25	    inference('cnf', [status(esa)], [subsetTI])).
0.00/0.25	tff('24', plain,
0.00/0.25	    ![X2, X3, X4]:
0.00/0.25	      (~ in(X2, powerset(X3))
0.00/0.25	       | ~ in(sk_Xx(X4, X2, X3), X4)
0.00/0.25	       | subset(X2, X4)
0.00/0.25	       | ~ in(X4, powerset(X3))
0.00/0.25	       | ~ $true),
0.00/0.25	    inference('demod', [status(thm)], ['23', '5'])).
0.00/0.25	tff('25', plain,
0.00/0.25	    ![X2, X3, X4]:
0.00/0.25	      (~ in(X4, powerset(X3))
0.00/0.25	       | subset(X2, X4)
0.00/0.25	       | ~ in(sk_Xx(X4, X2, X3), X4)
0.00/0.25	       | ~ in(X2, powerset(X3))),
0.00/0.25	    inference('simplify', [status(thm)], ['24'])).
0.00/0.25	tff('26', plain,
0.00/0.25	    ![X0]:
0.00/0.25	      (~ $true
0.00/0.25	       | ~ in(sk_Y2, powerset(X0))
0.00/0.25	       | subset(sk_Y2, setminus(sk_A3, sk_X3))
0.00/0.25	       | ~ in(setminus(sk_A3, sk_X3), powerset(X0))
0.00/0.25	       | ~ in(sk_Xx(setminus(sk_A3, sk_X3), sk_Y2, X0), sk_A3)
0.00/0.25	       | ~ in(sk_Y2, powerset(X0))
0.00/0.25	       | subset(sk_Y2, setminus(sk_A3, sk_X3))
0.00/0.25	       | ~ in(setminus(sk_A3, sk_X3), powerset(X0))),
0.00/0.25	    inference('sup-', [status(thm)], ['22', '25'])).
0.00/0.25	tff('27', plain,
0.00/0.25	    ![X0]:
0.00/0.25	      (~ in(sk_Xx(setminus(sk_A3, sk_X3), sk_Y2, X0), sk_A3)
0.00/0.25	       | ~ in(setminus(sk_A3, sk_X3), powerset(X0))
0.00/0.25	       | subset(sk_Y2, setminus(sk_A3, sk_X3))
0.00/0.25	       | ~ in(sk_Y2, powerset(X0))),
0.00/0.25	    inference('simplify', [status(thm)], ['26'])).
0.00/0.25	tff('28', plain, ~ subset(sk_Y2, setminus(sk_A3, sk_X3)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff('29', plain,
0.00/0.25	    ![X0]:
0.00/0.25	      (~ in(sk_Y2, powerset(X0))
0.00/0.25	       | ~ in(setminus(sk_A3, sk_X3), powerset(X0))
0.00/0.25	       | ~ in(sk_Xx(setminus(sk_A3, sk_X3), sk_Y2, X0), sk_A3)),
0.00/0.25	    inference('clc', [status(thm)], ['27', '28'])).
0.00/0.25	tff('30', plain,
0.00/0.25	    (~ $true
0.00/0.25	     | ~ in(sk_Y2, powerset(sk_A3))
0.00/0.25	     | subset(sk_Y2, setminus(sk_A3, sk_X3))
0.00/0.25	     | ~ in(setminus(sk_A3, sk_X3), powerset(sk_A3))
0.00/0.25	     | ~ in(setminus(sk_A3, sk_X3), powerset(sk_A3))
0.00/0.25	     | ~ in(sk_Y2, powerset(sk_A3))),
0.00/0.25	    inference('sup-', [status(thm)], ['7', '29'])).
0.00/0.25	tff('31', plain,
0.00/0.25	    (~ $true
0.00/0.25	     | ~ $true
0.00/0.25	     | subset(sk_Y2, setminus(sk_A3, sk_X3))
0.00/0.25	     | ~ in(setminus(sk_A3, sk_X3), powerset(sk_A3))
0.00/0.25	     | ~ in(setminus(sk_A3, sk_X3), powerset(sk_A3))
0.00/0.25	     | ~ $true),
0.00/0.25	    inference('demod', [status(thm)], ['30', '20', '20'])).
0.00/0.25	tff('32', plain,
0.00/0.25	    (~ in(setminus(sk_A3, sk_X3), powerset(sk_A3))
0.00/0.25	     | subset(sk_Y2, setminus(sk_A3, sk_X3))),
0.00/0.25	    inference('simplify', [status(thm)], ['31'])).
0.00/0.25	tff('33', plain, ~ in(setminus(sk_A3, sk_X3), powerset(sk_A3)),
0.00/0.25	    inference('clc', [status(thm)], ['32', '28'])).
0.00/0.25	tff('34', plain, (~ $true | ~ in(sk_X3, powerset(sk_A3))),
0.00/0.25	    inference('sup-', [status(thm)], ['3', '33'])).
0.00/0.25	tff('35', plain, (~ $true | ~ $true),
0.00/0.25	    inference('demod', [status(thm)], ['34', '19'])).
0.00/0.25	tff('36', plain, $false, inference('simplify', [status(thm)], ['35'])).
0.00/0.25	
0.00/0.25	% SZS output end Refutation
0.00/0.25	EOF
