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    : kbo
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   : n173.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 17:17:10 CST 2018
0.00/0.22	% done 52 iterations in 0.016s
0.00/0.22	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.22	% SZS output start Refutation
0.00/0.22	tff(complementTE1, axiom,
0.00/0.22	  (complementTE1 <=>
0.00/0.22	   (![A,X]:
0.00/0.22	      (in(X,powerset(A)) =>
0.00/0.22	       (![Xx]: (in(Xx,A) => ((~in(Xx,setminus(A,X))) => in(Xx,X)))))))).
0.00/0.22	tff('0', plain,
0.00/0.22	    ![X8, X9, X10]:
0.00/0.22	      (~ in(X8, powerset(X9))
0.00/0.22	       | in(X10, setminus(X9, X8))
0.00/0.22	       | in(X10, X8)
0.00/0.22	       | ~ in(X10, X9)
0.00/0.22	       | ~ complementTE1),
0.00/0.22	    inference('cnf', [status(esa)], [complementTE1])).
0.00/0.22	tff(demorgan1a, conjecture,
0.00/0.22	  (binintersectI =>
0.00/0.22	   (setminusER =>
0.00/0.22	    (complementT_lem =>
0.00/0.22	     (complementTE1 =>
0.00/0.22	      (binunionTILcontra =>
0.00/0.22	       (binunionTIRcontra =>
0.00/0.22	        (![A,X]:
0.00/0.22	           (in(X,powerset(A)) =>
0.00/0.22	            (![Y]:
0.00/0.22	               (in(Y,powerset(A)) =>
0.00/0.22	                (![Xx]:
0.00/0.22	                   (in(Xx,A) =>
0.00/0.22	                    (in(Xx,setminus(A,binintersect(X,Y))) =>
0.00/0.22	                     in(Xx,binunion(setminus(A,X),setminus(A,Y))))))))))))))))).
0.00/0.22	tff(zf_stmt_0, negated_conjecture,
0.00/0.22	  (~
0.00/0.22	    (binintersectI =>
0.00/0.22	     (setminusER =>
0.00/0.22	      (complementT_lem =>
0.00/0.22	       (complementTE1 =>
0.00/0.22	        (binunionTILcontra =>
0.00/0.22	         (binunionTIRcontra =>
0.00/0.22	          (![A,X]:
0.00/0.22	             (in(X,powerset(A)) =>
0.00/0.22	              (![Y]:
0.00/0.22	                 (in(Y,powerset(A)) =>
0.00/0.22	                  (![Xx]:
0.00/0.22	                     (in(Xx,A) =>
0.00/0.22	                      (in(Xx,setminus(A,binintersect(X,Y))) =>
0.00/0.22	                       in(Xx,binunion(setminus(A,X),setminus(A,Y)))))))))))))))))).
0.00/0.22	tff('1', plain, complementTE1, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('2', plain,
0.00/0.22	    ![X8, X9, X10]:
0.00/0.22	      (~ in(X8, powerset(X9))
0.00/0.22	       | in(X10, setminus(X9, X8))
0.00/0.22	       | in(X10, X8)
0.00/0.22	       | ~ in(X10, X9)
0.00/0.22	       | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['0', '1'])).
0.00/0.22	tff('3', plain,
0.00/0.22	    ![X8, X9, X10]:
0.00/0.22	      (~ in(X10, X9)
0.00/0.22	       | in(X10, X8)
0.00/0.22	       | in(X10, setminus(X9, X8))
0.00/0.22	       | ~ in(X8, powerset(X9))),
0.00/0.22	    inference('simplify', [status(thm)], ['2'])).
0.00/0.22	tff(complementT_lem, axiom,
0.00/0.22	  (complementT_lem <=>
0.00/0.22	   (![A,X]: (in(X,powerset(A)) => in(setminus(A,X),powerset(A)))))).
0.00/0.22	tff('4', plain,
0.00/0.22	    ![X6, X7]:
0.00/0.22	      (~ in(X6, powerset(X7))
0.00/0.22	       | in(setminus(X7, X6), powerset(X7))
0.00/0.22	       | ~ complementT_lem),
0.00/0.22	    inference('cnf', [status(esa)], [complementT_lem])).
0.00/0.22	tff('5', plain, complementT_lem, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('6', plain,
0.00/0.22	    ![X6, X7]:
0.00/0.22	      (~ in(X6, powerset(X7)) | in(setminus(X7, X6), powerset(X7)) | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['4', '5'])).
0.00/0.22	tff('7', plain,
0.00/0.22	    ![X6, X7]: (in(setminus(X7, X6), powerset(X7)) | ~ in(X6, powerset(X7))),
0.00/0.22	    inference('simplify', [status(thm)], ['6'])).
0.00/0.22	tff(binunionTIRcontra, axiom,
0.00/0.22	  (binunionTIRcontra <=>
0.00/0.22	   (![A,X]:
0.00/0.22	      (in(X,powerset(A)) =>
0.00/0.22	       (![Y]:
0.00/0.22	          (in(Y,powerset(A)) =>
0.00/0.22	           (![Xx]: (in(Xx,A) => ((~in(Xx,binunion(X,Y))) => (~in(Xx,Y))))))))))).
0.00/0.22	tff('8', plain,
0.00/0.22	    ![X15, X16, X17, X18]:
0.00/0.22	      (~ in(X15, powerset(X16))
0.00/0.22	       | ~ in(X17, X16)
0.00/0.22	       | ~ in(X17, X18)
0.00/0.22	       | in(X17, binunion(X15, X18))
0.00/0.22	       | ~ in(X18, powerset(X16))
0.00/0.22	       | ~ binunionTIRcontra),
0.00/0.22	    inference('cnf', [status(esa)], [binunionTIRcontra])).
0.00/0.22	tff('9', plain, binunionTIRcontra,
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('10', plain,
0.00/0.22	    ![X15, X16, X17, X18]:
0.00/0.22	      (~ in(X15, powerset(X16))
0.00/0.22	       | ~ in(X17, X16)
0.00/0.22	       | ~ in(X17, X18)
0.00/0.22	       | in(X17, binunion(X15, X18))
0.00/0.22	       | ~ in(X18, powerset(X16))
0.00/0.22	       | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['8', '9'])).
0.00/0.22	tff('11', plain,
0.00/0.22	    ![X15, X16, X17, X18]:
0.00/0.22	      (~ in(X18, powerset(X16))
0.00/0.22	       | in(X17, binunion(X15, X18))
0.00/0.22	       | ~ in(X17, X18)
0.00/0.22	       | ~ in(X17, X16)
0.00/0.22	       | ~ in(X15, powerset(X16))),
0.00/0.22	    inference('simplify', [status(thm)], ['10'])).
0.00/0.22	tff('12', plain,
0.00/0.22	    ![X0, X1, X2, X3]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ in(X1, powerset(X0))
0.00/0.22	       | ~ in(X2, powerset(X0))
0.00/0.22	       | ~ in(X3, X0)
0.00/0.22	       | ~ in(X3, setminus(X0, X1))
0.00/0.22	       | in(X3, binunion(X2, setminus(X0, X1)))),
0.00/0.22	    inference('sup-', [status(thm)], ['7', '11'])).
0.00/0.22	tff('13', plain,
0.00/0.22	    ![X0, X1, X2, X3]:
0.00/0.22	      (in(X3, binunion(X2, setminus(X0, X1)))
0.00/0.22	       | ~ in(X3, setminus(X0, X1))
0.00/0.22	       | ~ in(X3, X0)
0.00/0.22	       | ~ in(X2, powerset(X0))
0.00/0.22	       | ~ in(X1, powerset(X0))),
0.00/0.22	    inference('simplify', [status(thm)], ['12'])).
0.00/0.22	tff('14', plain,
0.00/0.22	    ~ in(sk_Xx5, binunion(setminus(sk_A6, sk_X4), setminus(sk_A6, sk_Y2))),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('15', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | ~ in(sk_Y2, powerset(sk_A6))
0.00/0.22	     | ~ in(setminus(sk_A6, sk_X4), powerset(sk_A6))
0.00/0.22	     | ~ in(sk_Xx5, sk_A6)
0.00/0.22	     | ~ in(sk_Xx5, setminus(sk_A6, sk_Y2))),
0.00/0.22	    inference('sup-', [status(thm)], ['13', '14'])).
0.00/0.22	tff('16', plain, in(sk_Y2, powerset(sk_A6)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('17', plain, in(sk_Xx5, sk_A6),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('18', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | ~ $true
0.00/0.22	     | ~ in(setminus(sk_A6, sk_X4), powerset(sk_A6))
0.00/0.22	     | ~ $true
0.00/0.22	     | ~ in(sk_Xx5, setminus(sk_A6, sk_Y2))),
0.00/0.22	    inference('demod', [status(thm)], ['15', '16', '17'])).
0.00/0.22	tff('19', plain,
0.00/0.22	    (~ in(sk_Xx5, setminus(sk_A6, sk_Y2))
0.00/0.22	     | ~ in(setminus(sk_A6, sk_X4), powerset(sk_A6))),
0.00/0.22	    inference('simplify', [status(thm)], ['18'])).
0.00/0.22	tff('20', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | ~ in(sk_X4, powerset(sk_A6))
0.00/0.22	     | ~ in(sk_Xx5, setminus(sk_A6, sk_Y2))),
0.00/0.22	    inference('sup-', [status(thm)], ['7', '19'])).
0.00/0.22	tff('21', plain, in(sk_X4, powerset(sk_A6)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('22', plain, (~ $true | ~ $true | ~ in(sk_Xx5, setminus(sk_A6, sk_Y2))),
0.00/0.22	    inference('demod', [status(thm)], ['20', '21'])).
0.00/0.22	tff('23', plain, ~ in(sk_Xx5, setminus(sk_A6, sk_Y2)),
0.00/0.22	    inference('simplify', [status(thm)], ['22'])).
0.00/0.22	tff('24', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | ~ in(sk_Y2, powerset(sk_A6))
0.00/0.22	     | in(sk_Xx5, sk_Y2)
0.00/0.22	     | ~ in(sk_Xx5, sk_A6)),
0.00/0.22	    inference('sup-', [status(thm)], ['3', '23'])).
0.00/0.22	tff('25', plain, (~ $true | ~ $true | in(sk_Xx5, sk_Y2) | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['24', '16', '17'])).
0.00/0.22	tff('26', plain, in(sk_Xx5, sk_Y2),
0.00/0.22	    inference('simplify', [status(thm)], ['25'])).
0.00/0.22	tff(binintersectI, axiom,
0.00/0.22	  (binintersectI <=>
0.00/0.22	   (![A,B,Xx]: (in(Xx,A) => (in(Xx,B) => in(Xx,binintersect(A,B))))))).
0.00/0.22	tff('27', plain,
0.00/0.22	    ![X0, X1, X2]:
0.00/0.22	      (~ in(X0, X1)
0.00/0.22	       | in(X0, binintersect(X1, X2))
0.00/0.22	       | ~ in(X0, X2)
0.00/0.22	       | ~ binintersectI),
0.00/0.22	    inference('cnf', [status(esa)], [binintersectI])).
0.00/0.22	tff('28', plain, binintersectI, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('29', plain,
0.00/0.22	    ![X0, X1, X2]:
0.00/0.22	      (~ in(X0, X1) | in(X0, binintersect(X1, X2)) | ~ in(X0, X2) | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['27', '28'])).
0.00/0.22	tff('30', plain,
0.00/0.22	    ![X0, X1, X2]:
0.00/0.22	      (~ in(X0, X2) | in(X0, binintersect(X1, X2)) | ~ in(X0, X1)),
0.00/0.22	    inference('simplify', [status(thm)], ['29'])).
0.00/0.22	tff('31', plain, in(sk_Xx5, setminus(sk_A6, binintersect(sk_X4, sk_Y2))),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff(setminusER, axiom,
0.00/0.22	  (setminusER <=> (![A,B,Xx]: (in(Xx,setminus(A,B)) => (~in(Xx,B)))))).
0.00/0.22	tff('32', plain,
0.00/0.22	    ![X3, X4, X5]: (~ in(X3, setminus(X4, X5)) | ~ in(X3, X5) | ~ setminusER),
0.00/0.22	    inference('cnf', [status(esa)], [setminusER])).
0.00/0.22	tff('33', plain, setminusER, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('34', plain,
0.00/0.22	    ![X3, X4, X5]: (~ in(X3, setminus(X4, X5)) | ~ in(X3, X5) | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['32', '33'])).
0.00/0.22	tff('35', plain, ![X3, X4, X5]: (~ in(X3, X5) | ~ in(X3, setminus(X4, X5))),
0.00/0.22	    inference('simplify', [status(thm)], ['34'])).
0.00/0.22	tff('36', plain, (~ $true | ~ in(sk_Xx5, binintersect(sk_X4, sk_Y2))),
0.00/0.22	    inference('sup-', [status(thm)], ['31', '35'])).
0.00/0.22	tff('37', plain, ~ in(sk_Xx5, binintersect(sk_X4, sk_Y2)),
0.00/0.22	    inference('simplify', [status(thm)], ['36'])).
0.00/0.22	tff('38', plain, (~ $true | ~ in(sk_Xx5, sk_X4) | ~ in(sk_Xx5, sk_Y2)),
0.00/0.22	    inference('sup-', [status(thm)], ['30', '37'])).
0.00/0.22	tff('39', plain, (~ in(sk_Xx5, sk_Y2) | ~ in(sk_Xx5, sk_X4)),
0.00/0.22	    inference('simplify', [status(thm)], ['38'])).
0.00/0.22	tff('40', plain, (~ $true | ~ in(sk_Xx5, sk_X4)),
0.00/0.22	    inference('sup-', [status(thm)], ['26', '39'])).
0.00/0.22	tff(binunionTILcontra, axiom,
0.00/0.22	  (binunionTILcontra <=>
0.00/0.22	   (![A,X]:
0.00/0.22	      (in(X,powerset(A)) =>
0.00/0.22	       (![Y]:
0.00/0.22	          (in(Y,powerset(A)) =>
0.00/0.22	           (![Xx]: (in(Xx,A) => ((~in(Xx,binunion(X,Y))) => (~in(Xx,X))))))))))).
0.00/0.22	tff('41', plain,
0.00/0.22	    ![X11, X12, X13, X14]:
0.00/0.22	      (~ in(X11, powerset(X12))
0.00/0.22	       | ~ in(X13, X12)
0.00/0.22	       | ~ in(X13, X11)
0.00/0.22	       | in(X13, binunion(X11, X14))
0.00/0.22	       | ~ in(X14, powerset(X12))
0.00/0.22	       | ~ binunionTILcontra),
0.00/0.22	    inference('cnf', [status(esa)], [binunionTILcontra])).
0.00/0.22	tff('42', plain, binunionTILcontra,
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('43', plain,
0.00/0.22	    ![X11, X12, X13, X14]:
0.00/0.22	      (~ in(X11, powerset(X12))
0.00/0.22	       | ~ in(X13, X12)
0.00/0.22	       | ~ in(X13, X11)
0.00/0.22	       | in(X13, binunion(X11, X14))
0.00/0.22	       | ~ in(X14, powerset(X12))
0.00/0.22	       | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['41', '42'])).
0.00/0.22	tff('44', plain,
0.00/0.22	    ![X11, X12, X13, X14]:
0.00/0.22	      (~ in(X14, powerset(X12))
0.00/0.22	       | in(X13, binunion(X11, X14))
0.00/0.22	       | ~ in(X13, X11)
0.00/0.22	       | ~ in(X13, X12)
0.00/0.22	       | ~ in(X11, powerset(X12))),
0.00/0.22	    inference('simplify', [status(thm)], ['43'])).
0.00/0.22	tff('45', plain,
0.00/0.22	    ![X0, X1, X2, X3]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ in(X1, powerset(X0))
0.00/0.22	       | ~ in(X2, powerset(X0))
0.00/0.22	       | ~ in(X3, X0)
0.00/0.22	       | ~ in(X3, X2)
0.00/0.22	       | in(X3, binunion(X2, setminus(X0, X1)))),
0.00/0.22	    inference('sup-', [status(thm)], ['7', '44'])).
0.00/0.22	tff('46', plain,
0.00/0.22	    ![X0, X1, X2, X3]:
0.00/0.22	      (in(X3, binunion(X2, setminus(X0, X1)))
0.00/0.22	       | ~ in(X3, X2)
0.00/0.22	       | ~ in(X3, X0)
0.00/0.22	       | ~ in(X2, powerset(X0))
0.00/0.22	       | ~ in(X1, powerset(X0))),
0.00/0.22	    inference('simplify', [status(thm)], ['45'])).
0.00/0.22	tff('47', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | ~ in(sk_Y2, powerset(sk_A6))
0.00/0.22	     | ~ in(setminus(sk_A6, sk_X4), powerset(sk_A6))
0.00/0.22	     | ~ in(sk_Xx5, sk_A6)
0.00/0.22	     | ~ in(sk_Xx5, setminus(sk_A6, sk_X4))),
0.00/0.22	    inference('sup-', [status(thm)], ['46', '14'])).
0.00/0.22	tff('48', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | ~ $true
0.00/0.22	     | ~ in(setminus(sk_A6, sk_X4), powerset(sk_A6))
0.00/0.22	     | ~ $true
0.00/0.22	     | ~ in(sk_Xx5, setminus(sk_A6, sk_X4))),
0.00/0.22	    inference('demod', [status(thm)], ['47', '16', '17'])).
0.00/0.22	tff('49', plain,
0.00/0.22	    (~ in(sk_Xx5, setminus(sk_A6, sk_X4))
0.00/0.22	     | ~ in(setminus(sk_A6, sk_X4), powerset(sk_A6))),
0.00/0.23	    inference('simplify', [status(thm)], ['48'])).
0.00/0.23	tff('50', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | ~ in(sk_X4, powerset(sk_A6))
0.00/0.23	     | ~ in(sk_Xx5, setminus(sk_A6, sk_X4))),
0.00/0.23	    inference('sup-', [status(thm)], ['7', '49'])).
0.00/0.23	tff('51', plain, (~ $true | ~ $true | ~ in(sk_Xx5, setminus(sk_A6, sk_X4))),
0.00/0.23	    inference('demod', [status(thm)], ['50', '21'])).
0.00/0.23	tff('52', plain, ~ in(sk_Xx5, setminus(sk_A6, sk_X4)),
0.00/0.23	    inference('simplify', [status(thm)], ['51'])).
0.00/0.23	tff('53', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | ~ in(sk_X4, powerset(sk_A6))
0.00/0.23	     | in(sk_Xx5, sk_X4)
0.00/0.23	     | ~ in(sk_Xx5, sk_A6)),
0.00/0.23	    inference('sup-', [status(thm)], ['3', '52'])).
0.00/0.23	tff('54', plain, (~ $true | ~ $true | in(sk_Xx5, sk_X4) | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['53', '21', '17'])).
0.00/0.23	tff('55', plain, in(sk_Xx5, sk_X4),
0.00/0.23	    inference('simplify', [status(thm)], ['54'])).
0.00/0.23	tff('56', plain, (~ $true | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['40', '55'])).
0.00/0.23	tff('57', plain, $false, inference('simplify', [status(thm)], ['56'])).
0.00/0.23	
0.00/0.23	% SZS output end Refutation
0.00/0.23	EOF
