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    : 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 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
0.00/0.20	% Computer   : n188.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 17:25:10 CST 2018
166.29/166.59	% done 51467 iterations in 166.382s
166.29/166.59	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
166.29/166.59	% SZS output start Refutation
166.29/166.59	tff(cPU_LEM2B_pme, conjecture,
166.29/166.59	  (((![X:(a > $o)]:
166.29/166.59	       ((![Xt:a,Xu:a]:
166.29/166.59	           (X(cP(Xt,Xu)) =>
166.29/166.59	            (X(cP(cR(Xt),cR(Xu))) & X(cP(cL(Xt),cL(Xu))) & 
166.29/166.59	             ((Xt = cZ) <=> (Xu = cZ))))) =>
166.29/166.59	        (![Xt:a,Xu:a]: (X(cP(Xt,Xu)) => (Xt = Xu))))) & 
166.29/166.59	    (![Xt:a]: ((Xt != cZ) <=> (Xt = cP(cL(Xt),cR(Xt))))) & 
166.29/166.59	    (![Xx:a,Xy:a]: (cR(cP(Xx,Xy)) = Xy)) & 
166.29/166.59	    (![Xx:a,Xy:a]: (cL(cP(Xx,Xy)) = Xx)) & (cR(cZ) = cZ) & (cL(cZ) = cZ)) =>
166.29/166.59	   (![Xx:a,Xy:a]:
166.29/166.59	      ((?[X:(a > $o)]:
166.29/166.59	          ((![Xt:a,Xu:a]:
166.29/166.59	              (X(cP(Xt,Xu)) =>
166.29/166.59	               (X(cP(cR(Xt),cR(Xu))) & X(cP(cL(Xt),cL(Xu))) & 
166.29/166.59	                ((Xu = cZ) => (Xt = cZ))))) & 
166.29/166.59	           X(cP(Xx,Xy)))) =>
166.29/166.59	       (?[X:(a > $o)]:
166.29/166.59	          ((![Xt:a,Xu:a]:
166.29/166.59	              (X(cP(Xt,Xu)) =>
166.29/166.59	               (X(cP(cR(Xt),cR(Xu))) & X(cP(cL(Xt),cL(Xu))) & 
166.29/166.59	                ((Xu = cZ) => (Xt = cZ))))) & 
166.29/166.59	           X(cP(cL(Xx),cL(Xy))))))))).
166.29/166.59	tff(zf_stmt_0, negated_conjecture,
166.29/166.59	  (~
166.29/166.59	    (((![X:(a > $o)]:
166.29/166.59	         ((![Xt:a,Xu:a]:
166.29/166.59	             (X(cP(Xt,Xu)) =>
166.29/166.59	              (X(cP(cR(Xt),cR(Xu))) & X(cP(cL(Xt),cL(Xu))) & 
166.29/166.59	               ((Xt = cZ) <=> (Xu = cZ))))) =>
166.29/166.59	          (![Xt:a,Xu:a]: (X(cP(Xt,Xu)) => (Xt = Xu))))) & 
166.29/166.59	      (![Xt:a]: ((Xt != cZ) <=> (Xt = cP(cL(Xt),cR(Xt))))) & 
166.29/166.59	      (![Xx:a,Xy:a]: (cR(cP(Xx,Xy)) = Xy)) & 
166.29/166.59	      (![Xx:a,Xy:a]: (cL(cP(Xx,Xy)) = Xx)) & (cR(cZ) = cZ) & (cL(cZ) = cZ)) =>
166.29/166.59	     (![Xx:a,Xy:a]:
166.29/166.59	        ((?[X:(a > $o)]:
166.29/166.59	            ((![Xt:a,Xu:a]:
166.29/166.59	                (X(cP(Xt,Xu)) =>
166.29/166.59	                 (X(cP(cR(Xt),cR(Xu))) & X(cP(cL(Xt),cL(Xu))) & 
166.29/166.59	                  ((Xu = cZ) => (Xt = cZ))))) & 
166.29/166.59	             X(cP(Xx,Xy)))) =>
166.29/166.59	         (?[X:(a > $o)]:
166.29/166.59	            ((![Xt:a,Xu:a]:
166.29/166.59	                (X(cP(Xt,Xu)) =>
166.29/166.59	                 (X(cP(cR(Xt),cR(Xu))) & X(cP(cL(Xt),cL(Xu))) & 
166.29/166.59	                  ((Xu = cZ) => (Xt = cZ))))) & 
166.29/166.59	             X(cP(cL(Xx),cL(Xy)))))))))).
166.29/166.59	tff('0', plain,
166.29/166.59	    ![X10 : a, X11 : a]: (sk_X(cP(cR(X10), cR(X11))) | ~ sk_X(cP(X10, X11))),
166.29/166.59	    inference('cnf', [status(esa)], [zf_stmt_0])).
166.29/166.59	tff('1', plain,
166.29/166.59	    ![X10 : a, X11 : a]: (sk_X(cP(cL(X10), cL(X11))) | ~ sk_X(cP(X10, X11))),
166.29/166.59	    inference('cnf', [status(esa)], [zf_stmt_0])).
166.29/166.59	tff('2', plain,
166.29/166.59	    ![X9 : a > $o]:
166.29/166.59	      (sk_Xu(X9) = cZ
166.29/166.59	       | ~ X9(cP(cL(sk_Xt(X9)), cL(sk_Xu(X9))))
166.29/166.59	       | ~ X9(cP(cR(sk_Xt(X9)), cR(sk_Xu(X9))))
166.29/166.59	       | ~ X9(cP(cL(sk_Xx), cL(sk_Xy)))),
166.29/166.59	    inference('cnf', [status(esa)], [zf_stmt_0])).
166.29/166.59	tff('3', plain,
166.29/166.59	    ![X9 : a > $o, X10 : a > $o, X11 : a > $o, X12 : a > $o]:
166.29/166.59	      (X12 != X9
166.29/166.59	       | X11 != X9
166.29/166.59	       | X10 != X9
166.29/166.59	       | sk_Xu(X9) = cZ
166.29/166.59	       | ~ X10(cP(cL(sk_Xt(X9)), cL(sk_Xu(X9))))
166.29/166.59	       | ~ X11(cP(cR(sk_Xt(X9)), cR(sk_Xu(X9))))
166.29/166.59	       | ~ X12(cP(cL(sk_Xx), cL(sk_Xy)))),
166.29/166.59	    inference('ho.purify_applied_variable', [status(thm)], ['2'])).
166.29/166.59	tff('4', plain,
166.29/166.59	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
166.29/166.59	      (~ $true
166.29/166.59	       | ~ sk_X(cP(sk_Xx, sk_Xy))
166.29/166.59	       | ~ X0(cP(cR(sk_Xt(X1)), cR(sk_Xu(X1))))
166.29/166.59	       | ~ X2(cP(cL(sk_Xt(X1)), cL(sk_Xu(X1))))
166.29/166.59	       | sk_Xu(X1) = cZ
166.29/166.59	       | X2 != X1
166.29/166.59	       | X0 != X1
166.29/166.59	       | sk_X != X1),
166.29/166.59	    inference('sup-', [status(thm)], ['1', '3'])).
166.29/166.59	tff('5', plain, sk_X(cP(sk_Xx, sk_Xy)),
166.29/166.59	    inference('cnf', [status(esa)], [zf_stmt_0])).
166.29/166.59	tff('6', plain,
166.29/166.59	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
166.29/166.59	      (~ $true
166.29/166.59	       | ~ $true
166.29/166.59	       | ~ X0(cP(cR(sk_Xt(X1)), cR(sk_Xu(X1))))
166.29/166.59	       | ~ X2(cP(cL(sk_Xt(X1)), cL(sk_Xu(X1))))
166.29/166.59	       | sk_Xu(X1) = cZ
166.29/166.59	       | X2 != X1
166.29/166.59	       | X0 != X1
166.29/166.59	       | sk_X != X1),
166.29/166.59	    inference('demod', [status(thm)], ['4', '5'])).
166.29/166.59	tff('7', plain,
166.29/166.59	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
166.29/166.59	      (sk_X != X1
166.29/166.59	       | X0 != X1
166.29/166.59	       | X2 != X1
166.29/166.59	       | sk_Xu(X1) = cZ
166.29/166.59	       | ~ X2(cP(cL(sk_Xt(X1)), cL(sk_Xu(X1))))
166.29/166.59	       | ~ X0(cP(cR(sk_Xt(X1)), cR(sk_Xu(X1))))),
166.29/166.59	    inference('simplify', [status(thm)], ['6'])).
166.29/166.59	tff('8', plain,
166.29/166.59	    ![X0 : a > $o, X1 : a > $o]:
166.29/166.59	      (~ $true
166.29/166.59	       | ~ sk_X(cP(sk_Xt(X0), sk_Xu(X0)))
166.29/166.59	       | ~ X1(cP(cR(sk_Xt(X0)), cR(sk_Xu(X0))))
166.29/166.59	       | sk_Xu(X0) = cZ
166.29/166.59	       | sk_X != X0
166.29/166.59	       | X1 != X0
166.29/166.59	       | sk_X != X0),
166.29/166.59	    inference('sup-', [status(thm)], ['1', '7'])).
166.29/166.59	tff('9', plain,
166.29/166.59	    ![X0 : a > $o, X1 : a > $o]:
166.29/166.59	      (X1 != X0
166.29/166.59	       | sk_X != X0
166.29/166.59	       | sk_Xu(X0) = cZ
166.29/166.59	       | ~ X1(cP(cR(sk_Xt(X0)), cR(sk_Xu(X0))))
166.29/166.59	       | ~ sk_X(cP(sk_Xt(X0), sk_Xu(X0)))),
166.29/166.59	    inference('simplify', [status(thm)], ['8'])).
166.29/166.59	tff('10', plain,
166.29/166.59	    ![X9 : a > $o]:
166.29/166.59	      (X9(cP(sk_Xt(X9), sk_Xu(X9))) | ~ X9(cP(cL(sk_Xx), cL(sk_Xy)))),
166.29/166.59	    inference('cnf', [status(esa)], [zf_stmt_0])).
166.29/166.59	tff('11', plain,
166.29/166.59	    ![X9 : a > $o, X10 : a > $o]:
166.29/166.59	      (X10 != X9
166.29/166.59	       | X9(cP(sk_Xt(X10), sk_Xu(X10)))
166.29/166.59	       | ~ X9(cP(cL(sk_Xx), cL(sk_Xy)))),
166.29/166.59	    inference('ho.purify_applied_variable', [status(thm)], ['10'])).
166.29/166.59	tff('12', plain,
166.29/166.59	    ![X0 : a > $o]:
166.29/166.59	      (~ $true
166.29/166.59	       | ~ sk_X(cP(sk_Xx, sk_Xy))
166.29/166.59	       | sk_X(cP(sk_Xt(X0), sk_Xu(X0)))
166.29/166.59	       | X0 != sk_X),
166.29/166.59	    inference('sup-', [status(thm)], ['1', '11'])).
166.29/166.59	tff('13', plain,
166.29/166.59	    ![X0 : a > $o]:
166.29/166.59	      (~ $true | ~ $true | sk_X(cP(sk_Xt(X0), sk_Xu(X0))) | X0 != sk_X),
166.29/166.59	    inference('demod', [status(thm)], ['12', '5'])).
166.29/166.59	tff('14', plain,
166.29/166.59	    ![X0 : a > $o]: (X0 != sk_X | sk_X(cP(sk_Xt(X0), sk_Xu(X0)))),
166.29/166.59	    inference('simplify', [status(thm)], ['13'])).
166.29/166.59	tff('15', plain,
166.29/166.59	    ![X0 : a > $o, X1 : a > $o]:
166.29/166.59	      (~ X1(cP(cR(sk_Xt(X0)), cR(sk_Xu(X0))))
166.29/166.59	       | sk_Xu(X0) = cZ
166.29/166.59	       | sk_X != X0
166.29/166.59	       | X1 != X0),
166.29/166.59	    inference('clc', [status(thm)], ['9', '14'])).
166.29/166.59	tff('16', plain,
166.29/166.59	    ![X0 : a > $o]:
166.29/166.59	      (~ $true
166.29/166.59	       | ~ sk_X(cP(sk_Xt(X0), sk_Xu(X0)))
166.29/166.59	       | sk_X != X0
166.29/166.59	       | sk_X != X0
166.29/166.59	       | sk_Xu(X0) = cZ),
166.29/166.59	    inference('sup-', [status(thm)], ['0', '15'])).
166.29/166.59	tff('17', plain,
166.29/166.59	    ![X0 : a > $o]:
166.29/166.59	      (sk_Xu(X0) = cZ | sk_X != X0 | ~ sk_X(cP(sk_Xt(X0), sk_Xu(X0)))),
166.29/166.59	    inference('simplify', [status(thm)], ['16'])).
166.29/166.59	tff('18', plain, ![X0 : a > $o]: (sk_X != X0 | sk_Xu(X0) = cZ),
166.29/166.59	    inference('clc', [status(thm)], ['17', '14'])).
166.29/166.59	tff('19', plain,
166.29/166.59	    ![X0 : a > $o]: (sk_X(cP(sk_Xt(X0), cZ)) | sk_X != X0 | X0 != sk_X),
166.29/166.59	    inference('sup+', [status(thm)], ['18', '14'])).
166.29/166.59	tff('20', plain, ![X0 : a > $o]: (sk_X != X0 | sk_X(cP(sk_Xt(X0), cZ))),
166.29/166.59	    inference('simplify', [status(thm)], ['19'])).
166.29/166.59	tff('21', plain,
166.29/166.59	    ![X10 : a, X11 : a]: (X11 != cZ | X10 = cZ | ~ sk_X(cP(X10, X11))),
166.29/166.59	    inference('cnf', [status(esa)], [zf_stmt_0])).
166.29/166.59	tff('22', plain, ![X10 : a]: (~ sk_X(cP(X10, cZ)) | X10 = cZ),
166.29/166.59	    inference('simplify', [status(thm)], ['21'])).
166.29/166.59	tff('23', plain, ![X0 : a > $o]: (~ $true | sk_X != X0 | sk_Xt(X0) = cZ),
166.29/166.59	    inference('sup-', [status(thm)], ['20', '22'])).
166.29/166.59	tff('24', plain, ![X0 : a > $o]: (sk_Xt(X0) = cZ | sk_X != X0),
166.29/166.59	    inference('simplify', [status(thm)], ['23'])).
166.29/166.59	tff('25', plain,
166.29/166.59	    ![X9 : a > $o]:
166.29/166.59	      (sk_Xt(X9) != cZ
166.29/166.59	       | ~ X9(cP(cL(sk_Xt(X9)), cL(sk_Xu(X9))))
166.29/166.59	       | ~ X9(cP(cR(sk_Xt(X9)), cR(sk_Xu(X9))))
166.29/166.59	       | ~ X9(cP(cL(sk_Xx), cL(sk_Xy)))),
166.29/166.59	    inference('cnf', [status(esa)], [zf_stmt_0])).
166.29/166.59	tff('26', plain,
166.29/166.59	    ![X9 : a > $o, X10 : a > $o, X11 : a > $o, X12 : a > $o]:
166.29/166.59	      (X12 != X9
166.29/166.59	       | X11 != X9
166.29/166.59	       | X10 != X9
166.29/166.59	       | sk_Xt(X9) != cZ
166.29/166.59	       | ~ X10(cP(cL(sk_Xt(X9)), cL(sk_Xu(X9))))
166.29/166.59	       | ~ X11(cP(cR(sk_Xt(X9)), cR(sk_Xu(X9))))
166.29/166.59	       | ~ X12(cP(cL(sk_Xx), cL(sk_Xy)))),
166.29/166.59	    inference('ho.purify_applied_variable', [status(thm)], ['25'])).
166.29/166.59	tff('27', plain,
166.29/166.59	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
166.29/166.59	      (~ $true
166.29/166.59	       | ~ sk_X(cP(sk_Xx, sk_Xy))
166.29/166.59	       | ~ X0(cP(cR(sk_Xt(X1)), cR(sk_Xu(X1))))
166.29/166.59	       | ~ X2(cP(cL(sk_Xt(X1)), cL(sk_Xu(X1))))
166.29/166.59	       | sk_Xt(X1) != cZ
166.29/166.59	       | X2 != X1
166.29/166.59	       | X0 != X1
166.29/166.59	       | sk_X != X1),
166.29/166.59	    inference('sup-', [status(thm)], ['1', '26'])).
166.29/166.59	tff('28', plain,
166.29/166.59	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
166.29/166.59	      (~ $true
166.29/166.59	       | ~ $true
166.29/166.59	       | ~ X0(cP(cR(sk_Xt(X1)), cR(sk_Xu(X1))))
166.29/166.59	       | ~ X2(cP(cL(sk_Xt(X1)), cL(sk_Xu(X1))))
166.29/166.59	       | sk_Xt(X1) != cZ
166.29/166.59	       | X2 != X1
166.29/166.59	       | X0 != X1
166.29/166.59	       | sk_X != X1),
166.29/166.59	    inference('demod', [status(thm)], ['27', '5'])).
166.29/166.59	tff('29', plain,
166.29/166.59	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
166.29/166.59	      (sk_X != X1
166.29/166.59	       | X0 != X1
166.29/166.59	       | X2 != X1
166.29/166.59	       | sk_Xt(X1) != cZ
166.29/166.59	       | ~ X2(cP(cL(sk_Xt(X1)), cL(sk_Xu(X1))))
166.29/166.59	       | ~ X0(cP(cR(sk_Xt(X1)), cR(sk_Xu(X1))))),
166.29/166.59	    inference('simplify', [status(thm)], ['28'])).
166.29/166.59	tff('30', plain,
166.29/166.59	    ![X0 : a > $o, X1 : a > $o]:
166.29/166.59	      (~ $true
166.29/166.59	       | ~ sk_X(cP(sk_Xt(X0), sk_Xu(X0)))
166.29/166.59	       | ~ X1(cP(cR(sk_Xt(X0)), cR(sk_Xu(X0))))
166.29/166.59	       | sk_Xt(X0) != cZ
166.29/166.59	       | sk_X != X0
166.29/166.59	       | X1 != X0
166.29/166.59	       | sk_X != X0),
166.29/166.59	    inference('sup-', [status(thm)], ['1', '29'])).
166.29/166.59	tff('31', plain,
166.29/166.59	    ![X0 : a > $o, X1 : a > $o]:
166.29/166.59	      (X1 != X0
166.29/166.59	       | sk_X != X0
166.29/166.59	       | sk_Xt(X0) != cZ
166.29/166.59	       | ~ X1(cP(cR(sk_Xt(X0)), cR(sk_Xu(X0))))
166.29/166.59	       | ~ sk_X(cP(sk_Xt(X0), sk_Xu(X0)))),
166.29/166.59	    inference('simplify', [status(thm)], ['30'])).
166.29/166.59	tff('32', plain,
166.29/166.59	    ![X0 : a > $o, X1 : a > $o]:
166.29/166.59	      (~ X1(cP(cR(sk_Xt(X0)), cR(sk_Xu(X0))))
166.29/166.59	       | sk_Xt(X0) != cZ
166.29/166.59	       | sk_X != X0
166.29/166.59	       | X1 != X0),
166.29/166.59	    inference('clc', [status(thm)], ['31', '14'])).
166.29/166.59	tff('33', plain,
166.29/166.59	    ![X0 : a > $o]:
166.29/166.59	      (~ $true
166.29/166.59	       | ~ sk_X(cP(sk_Xt(X0), sk_Xu(X0)))
166.29/166.59	       | sk_X != X0
166.29/166.59	       | sk_X != X0
166.29/166.59	       | sk_Xt(X0) != cZ),
166.29/166.59	    inference('sup-', [status(thm)], ['0', '32'])).
166.29/166.59	tff('34', plain,
166.29/166.59	    ![X0 : a > $o]:
166.29/166.59	      (sk_Xt(X0) != cZ | sk_X != X0 | ~ sk_X(cP(sk_Xt(X0), sk_Xu(X0)))),
166.29/166.59	    inference('simplify', [status(thm)], ['33'])).
166.29/166.59	tff('35', plain, ![X0 : a > $o]: (sk_X != X0 | sk_Xt(X0) != cZ),
166.29/166.59	    inference('clc', [status(thm)], ['34', '14'])).
166.29/166.59	tff('36', plain, ![X0 : a > $o]: sk_X != X0,
166.29/166.59	    inference('clc', [status(thm)], ['24', '35'])).
166.29/166.59	tff('37', plain, $false, inference('eq_res', [status(thm)], ['36'])).
166.29/166.59	
166.29/166.59	% SZS output end Refutation
166.39/166.60	EOF
