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_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   : n030.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 17:17:10 CST 2018
0.00/0.21	% done 42 iterations in 0.011s
0.00/0.21	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.21	% SZS output start Refutation
0.00/0.21	tff(setminusI, axiom,
0.00/0.21	  (setminusI <=>
0.00/0.21	   (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => in(Xx,setminus(A,B))))))).
0.00/0.21	tff('0', plain,
0.00/0.21	    ![X3, X4, X5]:
0.00/0.21	      (~ in(X3, X4) | in(X3, setminus(X4, X5)) | in(X3, X5) | ~ setminusI),
0.00/0.21	    inference('cnf', [status(esa)], [setminusI])).
0.00/0.21	tff(demorgan1b, conjecture,
0.00/0.21	  (binunionE =>
0.00/0.21	   (setminusI =>
0.00/0.21	    (setminusER =>
0.00/0.21	     (binintersectTELcontra =>
0.00/0.21	      (binintersectTERcontra =>
0.00/0.21	       (![A,X]:
0.00/0.21	          (in(X,powerset(A)) =>
0.00/0.21	           (![Y]:
0.00/0.21	              (in(Y,powerset(A)) =>
0.00/0.21	               (![Xx]:
0.00/0.21	                  (in(Xx,A) =>
0.00/0.21	                   (in(Xx,binunion(setminus(A,X),setminus(A,Y))) =>
0.00/0.21	                    in(Xx,setminus(A,binintersect(X,Y)))))))))))))))).
0.00/0.21	tff(zf_stmt_0, negated_conjecture,
0.00/0.21	  (~
0.00/0.21	    (binunionE =>
0.00/0.21	     (setminusI =>
0.00/0.21	      (setminusER =>
0.00/0.21	       (binintersectTELcontra =>
0.00/0.21	        (binintersectTERcontra =>
0.00/0.21	         (![A,X]:
0.00/0.21	            (in(X,powerset(A)) =>
0.00/0.21	             (![Y]:
0.00/0.21	                (in(Y,powerset(A)) =>
0.00/0.21	                 (![Xx]:
0.00/0.21	                    (in(Xx,A) =>
0.00/0.21	                     (in(Xx,binunion(setminus(A,X),setminus(A,Y))) =>
0.00/0.21	                      in(Xx,setminus(A,binintersect(X,Y))))))))))))))))).
0.00/0.21	tff('1', plain, setminusI, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('2', plain,
0.00/0.21	    ![X3, X4, X5]:
0.00/0.21	      (~ in(X3, X4) | in(X3, setminus(X4, X5)) | in(X3, X5) | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['0', '1'])).
0.00/0.21	tff('3', plain,
0.00/0.21	    ![X3, X4, X5]: (in(X3, X5) | in(X3, setminus(X4, X5)) | ~ in(X3, X4)),
0.00/0.21	    inference('simplify', [status(thm)], ['2'])).
0.00/0.21	tff('4', plain, ~ in(sk_Xx5, setminus(sk_A5, binintersect(sk_X2, sk_Y2))),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('5', plain,
0.00/0.21	    (~ $true | ~ in(sk_Xx5, sk_A5) | in(sk_Xx5, binintersect(sk_X2, sk_Y2))),
0.00/0.21	    inference('sup-', [status(thm)], ['3', '4'])).
0.00/0.21	tff('6', plain, in(sk_Xx5, sk_A5),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('7', plain, (~ $true | ~ $true | in(sk_Xx5, binintersect(sk_X2, sk_Y2))),
0.00/0.21	    inference('demod', [status(thm)], ['5', '6'])).
0.00/0.21	tff('8', plain, in(sk_Xx5, binintersect(sk_X2, sk_Y2)),
0.00/0.21	    inference('simplify', [status(thm)], ['7'])).
0.00/0.21	tff('9', plain, in(sk_Y2, powerset(sk_A5)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff(binintersectTERcontra, axiom,
0.00/0.21	  (binintersectTERcontra <=>
0.00/0.21	   (![A,X]:
0.00/0.21	      (in(X,powerset(A)) =>
0.00/0.21	       (![Y]:
0.00/0.21	          (in(Y,powerset(A)) =>
0.00/0.21	           (![Xx]: (in(Xx,A) => ((~in(Xx,Y)) => (~in(Xx,binintersect(X,Y)))))))))))).
0.00/0.21	tff('10', plain,
0.00/0.21	    ![X13, X14, X15, X16]:
0.00/0.21	      (~ in(X13, powerset(X14))
0.00/0.21	       | ~ in(X15, X14)
0.00/0.21	       | ~ in(X15, binintersect(X13, X16))
0.00/0.21	       | in(X15, X16)
0.00/0.21	       | ~ in(X16, powerset(X14))
0.00/0.21	       | ~ binintersectTERcontra),
0.00/0.21	    inference('cnf', [status(esa)], [binintersectTERcontra])).
0.00/0.21	tff('11', plain, binintersectTERcontra,
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('12', plain,
0.00/0.21	    ![X13, X14, X15, X16]:
0.00/0.21	      (~ in(X13, powerset(X14))
0.00/0.21	       | ~ in(X15, X14)
0.00/0.21	       | ~ in(X15, binintersect(X13, X16))
0.00/0.21	       | in(X15, X16)
0.00/0.21	       | ~ in(X16, powerset(X14))
0.00/0.21	       | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['10', '11'])).
0.00/0.21	tff('13', plain,
0.00/0.21	    ![X13, X14, X15, X16]:
0.00/0.21	      (~ in(X16, powerset(X14))
0.00/0.21	       | in(X15, X16)
0.00/0.21	       | ~ in(X15, binintersect(X13, X16))
0.00/0.21	       | ~ in(X15, X14)
0.00/0.21	       | ~ in(X13, powerset(X14))),
0.00/0.21	    inference('simplify', [status(thm)], ['12'])).
0.00/0.21	tff('14', plain,
0.00/0.21	    ![X0, X1]:
0.00/0.21	      (~ $true
0.00/0.21	       | ~ in(X0, powerset(sk_A5))
0.00/0.21	       | ~ in(X1, sk_A5)
0.00/0.21	       | ~ in(X1, binintersect(X0, sk_Y2))
0.00/0.21	       | in(X1, sk_Y2)),
0.00/0.21	    inference('sup-', [status(thm)], ['9', '13'])).
0.00/0.21	tff('15', plain,
0.00/0.21	    ![X0, X1]:
0.00/0.21	      (in(X1, sk_Y2)
0.00/0.21	       | ~ in(X1, binintersect(X0, sk_Y2))
0.00/0.21	       | ~ in(X1, sk_A5)
0.00/0.21	       | ~ in(X0, powerset(sk_A5))),
0.00/0.21	    inference('simplify', [status(thm)], ['14'])).
0.00/0.21	tff('16', plain,
0.00/0.21	    (~ $true
0.00/0.21	     | ~ in(sk_X2, powerset(sk_A5))
0.00/0.21	     | ~ in(sk_Xx5, sk_A5)
0.00/0.21	     | in(sk_Xx5, sk_Y2)),
0.00/0.21	    inference('sup-', [status(thm)], ['8', '15'])).
0.00/0.21	tff('17', plain, in(sk_X2, powerset(sk_A5)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('18', plain, (~ $true | ~ $true | ~ $true | in(sk_Xx5, sk_Y2)),
0.00/0.21	    inference('demod', [status(thm)], ['16', '17', '6'])).
0.00/0.21	tff('19', plain, in(sk_Xx5, sk_Y2),
0.00/0.21	    inference('simplify', [status(thm)], ['18'])).
0.00/0.21	tff('20', plain,
0.00/0.21	    in(sk_Xx5, binunion(setminus(sk_A5, sk_X2), setminus(sk_A5, sk_Y2))),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff(binunionE, axiom,
0.00/0.21	  (binunionE <=> (![A,B,Xx]: (in(Xx,binunion(A,B)) => (in(Xx,B) | in(Xx,A)))))).
0.00/0.21	tff('21', plain,
0.00/0.21	    ![X0, X1, X2]:
0.00/0.21	      (~ in(X0, binunion(X1, X2)) | in(X0, X2) | in(X0, X1) | ~ binunionE),
0.00/0.21	    inference('cnf', [status(esa)], [binunionE])).
0.00/0.21	tff('22', plain, binunionE, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('23', plain,
0.00/0.21	    ![X0, X1, X2]:
0.00/0.21	      (~ in(X0, binunion(X1, X2)) | in(X0, X2) | in(X0, X1) | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['21', '22'])).
0.00/0.21	tff('24', plain,
0.00/0.21	    ![X0, X1, X2]: (in(X0, X1) | in(X0, X2) | ~ in(X0, binunion(X1, X2))),
0.00/0.21	    inference('simplify', [status(thm)], ['23'])).
0.00/0.21	tff('25', plain,
0.00/0.21	    (~ $true
0.00/0.21	     | in(sk_Xx5, setminus(sk_A5, sk_Y2))
0.00/0.21	     | in(sk_Xx5, setminus(sk_A5, sk_X2))),
0.00/0.21	    inference('sup-', [status(thm)], ['20', '24'])).
0.00/0.21	tff('26', plain,
0.00/0.21	    (in(sk_Xx5, setminus(sk_A5, sk_X2)) | in(sk_Xx5, setminus(sk_A5, sk_Y2))),
0.00/0.21	    inference('simplify', [status(thm)], ['25'])).
0.00/0.21	tff(setminusER, axiom,
0.00/0.21	  (setminusER <=> (![A,B,Xx]: (in(Xx,setminus(A,B)) => (~in(Xx,B)))))).
0.00/0.21	tff('27', plain,
0.00/0.21	    ![X6, X7, X8]: (~ in(X6, setminus(X7, X8)) | ~ in(X6, X8) | ~ setminusER),
0.00/0.21	    inference('cnf', [status(esa)], [setminusER])).
0.00/0.21	tff('28', plain, setminusER, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('29', plain,
0.00/0.21	    ![X6, X7, X8]: (~ in(X6, setminus(X7, X8)) | ~ in(X6, X8) | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['27', '28'])).
0.00/0.21	tff('30', plain, ![X6, X7, X8]: (~ in(X6, X8) | ~ in(X6, setminus(X7, X8))),
0.00/0.21	    inference('simplify', [status(thm)], ['29'])).
0.00/0.21	tff('31', plain,
0.00/0.21	    (~ $true | in(sk_Xx5, setminus(sk_A5, sk_X2)) | ~ in(sk_Xx5, sk_Y2)),
0.00/0.21	    inference('sup-', [status(thm)], ['26', '30'])).
0.00/0.21	tff('32', plain, (~ in(sk_Xx5, sk_Y2) | in(sk_Xx5, setminus(sk_A5, sk_X2))),
0.00/0.21	    inference('simplify', [status(thm)], ['31'])).
0.00/0.21	tff('33', plain, (~ $true | in(sk_Xx5, setminus(sk_A5, sk_X2))),
0.00/0.21	    inference('sup-', [status(thm)], ['19', '32'])).
0.00/0.21	tff('34', plain, in(sk_Xx5, setminus(sk_A5, sk_X2)),
0.00/0.21	    inference('simplify', [status(thm)], ['33'])).
0.00/0.21	tff('35', plain, (~ $true | ~ in(sk_Xx5, sk_X2)),
0.00/0.21	    inference('sup-', [status(thm)], ['34', '30'])).
0.00/0.21	tff(binintersectTELcontra, axiom,
0.00/0.21	  (binintersectTELcontra <=>
0.00/0.21	   (![A,X]:
0.00/0.21	      (in(X,powerset(A)) =>
0.00/0.21	       (![Y]:
0.00/0.21	          (in(Y,powerset(A)) =>
0.00/0.21	           (![Xx]: (in(Xx,A) => ((~in(Xx,X)) => (~in(Xx,binintersect(X,Y)))))))))))).
0.00/0.21	tff('36', plain,
0.00/0.21	    ![X9, X10, X11, X12]:
0.00/0.21	      (~ in(X9, powerset(X10))
0.00/0.21	       | ~ in(X11, X10)
0.00/0.21	       | ~ in(X11, binintersect(X9, X12))
0.00/0.21	       | in(X11, X9)
0.00/0.21	       | ~ in(X12, powerset(X10))
0.00/0.21	       | ~ binintersectTELcontra),
0.00/0.21	    inference('cnf', [status(esa)], [binintersectTELcontra])).
0.00/0.21	tff('37', plain, binintersectTELcontra,
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('38', plain,
0.00/0.21	    ![X9, X10, X11, X12]:
0.00/0.21	      (~ in(X9, powerset(X10))
0.00/0.21	       | ~ in(X11, X10)
0.00/0.21	       | ~ in(X11, binintersect(X9, X12))
0.00/0.21	       | in(X11, X9)
0.00/0.21	       | ~ in(X12, powerset(X10))
0.00/0.21	       | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['36', '37'])).
0.00/0.21	tff('39', plain,
0.00/0.21	    ![X9, X10, X11, X12]:
0.00/0.21	      (~ in(X12, powerset(X10))
0.00/0.21	       | in(X11, X9)
0.00/0.21	       | ~ in(X11, binintersect(X9, X12))
0.00/0.21	       | ~ in(X11, X10)
0.00/0.21	       | ~ in(X9, powerset(X10))),
0.00/0.21	    inference('simplify', [status(thm)], ['38'])).
0.00/0.21	tff('40', plain,
0.00/0.21	    ![X0, X1]:
0.00/0.21	      (~ $true
0.00/0.21	       | ~ in(X0, powerset(sk_A5))
0.00/0.21	       | ~ in(X1, sk_A5)
0.00/0.21	       | ~ in(X1, binintersect(X0, sk_Y2))
0.00/0.21	       | in(X1, X0)),
0.00/0.21	    inference('sup-', [status(thm)], ['9', '39'])).
0.00/0.21	tff('41', plain,
0.00/0.21	    ![X0, X1]:
0.00/0.21	      (in(X1, X0)
0.00/0.21	       | ~ in(X1, binintersect(X0, sk_Y2))
0.00/0.21	       | ~ in(X1, sk_A5)
0.00/0.21	       | ~ in(X0, powerset(sk_A5))),
0.00/0.21	    inference('simplify', [status(thm)], ['40'])).
0.00/0.21	tff('42', plain,
0.00/0.21	    (~ $true
0.00/0.21	     | ~ in(sk_X2, powerset(sk_A5))
0.00/0.21	     | ~ in(sk_Xx5, sk_A5)
0.00/0.21	     | in(sk_Xx5, sk_X2)),
0.00/0.21	    inference('sup-', [status(thm)], ['8', '41'])).
0.00/0.21	tff('43', plain, (~ $true | ~ $true | ~ $true | in(sk_Xx5, sk_X2)),
0.00/0.21	    inference('demod', [status(thm)], ['42', '17', '6'])).
0.00/0.21	tff('44', plain, in(sk_Xx5, sk_X2),
0.00/0.21	    inference('simplify', [status(thm)], ['43'])).
0.00/0.21	tff('45', plain, (~ $true | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['35', '44'])).
0.00/0.21	tff('46', plain, $false, inference('simplify', [status(thm)], ['45'])).
0.00/0.21	
0.00/0.21	% SZS output end Refutation
0.00/0.21	EOF
