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    : purification_ext
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	  --ho-purify ext \
0.00/0.01	  --ho-ext-axiom \
0.00/0.01	  --restrict-hidden-sup-at-vars \
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   : n102.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 17:29:24 CST 2018
0.70/0.91	% done 692 iterations in 0.702s
0.70/0.91	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.70/0.91	% SZS output start Refutation
0.70/0.91	tff(cMODULAR_THM_DEF2_pme, conjecture,
0.70/0.91	  (![JOIN:((a * a) > a),MEET:((a * a) > a)]:
0.70/0.91	     (((![Xx:a,Xy:a,Xz:a]:
0.70/0.91	          (MEET(Xx,JOIN(Xy,Xz)) = JOIN(MEET(Xx,Xy),MEET(Xx,Xz)))) & 
0.70/0.91	       (![Xx:a,Xy:a,Xz:a]:
0.70/0.91	          (JOIN(Xx,MEET(Xy,Xz)) = MEET(JOIN(Xx,Xy),JOIN(Xx,Xz)))) & 
0.70/0.91	       (![Xx:a,Xy:a]: (MEET(JOIN(Xx,Xy),Xy) = Xy)) & 
0.70/0.91	       (![Xx:a,Xy:a]: (JOIN(MEET(Xx,Xy),Xy) = Xy)) & 
0.70/0.91	       (![Xx:a,Xy:a]: (MEET(Xx,Xy) = MEET(Xy,Xx))) & 
0.70/0.91	       (![Xx:a,Xy:a]: (JOIN(Xx,Xy) = JOIN(Xy,Xx))) & 
0.70/0.91	       (![Xx:a,Xy:a,Xz:a]: (MEET(MEET(Xx,Xy),Xz) = MEET(Xx,MEET(Xy,Xz)))) & 
0.70/0.91	       (![Xx:a,Xy:a,Xz:a]: (JOIN(JOIN(Xx,Xy),Xz) = JOIN(Xx,JOIN(Xy,Xz)))) & 
0.70/0.91	       (![Xx:a]: (MEET(Xx,Xx) = Xx)) & (![Xx:a]: (JOIN(Xx,Xx) = Xx))) =>
0.70/0.91	      (![Xx:a,Xy:a,Xz:a]:
0.70/0.91	         (JOIN(Xx,MEET(Xy,JOIN(Xx,Xz))) = MEET(JOIN(Xx,Xy),JOIN(Xx,Xz))))))).
0.70/0.91	tff(zf_stmt_0, negated_conjecture,
0.70/0.91	  (~
0.70/0.91	    (![JOIN:((a * a) > a),MEET:((a * a) > a)]:
0.70/0.91	       (((![Xx:a,Xy:a,Xz:a]:
0.70/0.91	            (MEET(Xx,JOIN(Xy,Xz)) = JOIN(MEET(Xx,Xy),MEET(Xx,Xz)))) & 
0.70/0.91	         (![Xx:a,Xy:a,Xz:a]:
0.70/0.91	            (JOIN(Xx,MEET(Xy,Xz)) = MEET(JOIN(Xx,Xy),JOIN(Xx,Xz)))) & 
0.70/0.91	         (![Xx:a,Xy:a]: (MEET(JOIN(Xx,Xy),Xy) = Xy)) & 
0.70/0.91	         (![Xx:a,Xy:a]: (JOIN(MEET(Xx,Xy),Xy) = Xy)) & 
0.70/0.91	         (![Xx:a,Xy:a]: (MEET(Xx,Xy) = MEET(Xy,Xx))) & 
0.70/0.91	         (![Xx:a,Xy:a]: (JOIN(Xx,Xy) = JOIN(Xy,Xx))) & 
0.70/0.91	         (![Xx:a,Xy:a,Xz:a]: (MEET(MEET(Xx,Xy),Xz) = MEET(Xx,MEET(Xy,Xz)))) & 
0.70/0.91	         (![Xx:a,Xy:a,Xz:a]: (JOIN(JOIN(Xx,Xy),Xz) = JOIN(Xx,JOIN(Xy,Xz)))) & 
0.70/0.91	         (![Xx:a]: (MEET(Xx,Xx) = Xx)) & (![Xx:a]: (JOIN(Xx,Xx) = Xx))) =>
0.70/0.91	        (![Xx:a,Xy:a,Xz:a]:
0.70/0.91	           (JOIN(Xx,MEET(Xy,JOIN(Xx,Xz))) = MEET(JOIN(Xx,Xy),JOIN(Xx,Xz)))))))).
0.70/0.91	tff('0', plain,
0.70/0.91	    sk_JOIN(sk_Xx, sk_MEET(sk_Xy, sk_JOIN(sk_Xx, sk_Xz)))
0.70/0.91	     != sk_MEET(sk_JOIN(sk_Xx, sk_Xy), sk_JOIN(sk_Xx, sk_Xz)),
0.70/0.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.70/0.91	tff('1', plain,
0.70/0.91	    ![X10 : a, X11 : a, X12 : a]:
0.70/0.91	      sk_JOIN(X10, sk_MEET(X11, X12))
0.70/0.91	       = sk_MEET(sk_JOIN(X10, X11), sk_JOIN(X10, X12)),
0.70/0.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.70/0.91	tff('2', plain,
0.70/0.91	    sk_JOIN(sk_Xx, sk_MEET(sk_Xy, sk_JOIN(sk_Xx, sk_Xz)))
0.70/0.91	     != sk_JOIN(sk_Xx, sk_MEET(sk_Xy, sk_Xz)),
0.70/0.91	    inference('demod', [status(thm)], ['0', '1'])).
0.70/0.91	tff('3', plain,
0.70/0.91	    ![X13 : a, X14 : a, X15 : a]:
0.70/0.91	      sk_MEET(X13, sk_JOIN(X14, X15))
0.70/0.91	       = sk_JOIN(sk_MEET(X13, X14), sk_MEET(X13, X15)),
0.70/0.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.70/0.91	tff('4', plain, ![X4 : a, X5 : a]: sk_MEET(X5, X4) = sk_MEET(X4, X5),
0.70/0.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.70/0.91	tff('5', plain, ![X6 : a, X7 : a]: sk_JOIN(sk_MEET(X7, X6), X6) = X6,
0.70/0.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.70/0.91	tff('6', plain, ![X0 : a, X1 : a]: sk_JOIN(sk_MEET(X1, X0), X1) = X1,
0.70/0.91	    inference('sup+', [status(thm)], ['4', '5'])).
0.70/0.91	tff('7', plain, ![X16 : a, X17 : a]: sk_JOIN(X17, X16) = sk_JOIN(X16, X17),
0.70/0.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.70/0.91	tff('8', plain, ![X0 : a, X1 : a]: sk_JOIN(X1, sk_MEET(X1, X0)) = X1,
0.70/0.91	    inference('demod', [status(thm)], ['6', '7'])).
0.70/0.91	tff('9', plain,
0.70/0.91	    ![X18 : a, X19 : a, X20 : a]:
0.70/0.91	      sk_JOIN(sk_JOIN(X18, X19), X20) = sk_JOIN(X18, sk_JOIN(X19, X20)),
0.70/0.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.70/0.91	tff('10', plain,
0.70/0.91	    ![X0 : a, X1 : a, X2 : a]:
0.70/0.91	      sk_JOIN(X0, X1) = sk_JOIN(X0, sk_JOIN(sk_MEET(X0, X2), X1)),
0.70/0.91	    inference('sup+', [status(thm)], ['8', '9'])).
0.70/0.91	tff('11', plain,
0.70/0.91	    sk_JOIN(sk_Xx, sk_MEET(sk_Xy, sk_Xz))
0.70/0.91	     != sk_JOIN(sk_Xx, sk_MEET(sk_Xy, sk_Xz)),
0.70/0.91	    inference('demod', [status(thm)], ['2', '3', '4', '10'])).
0.70/0.91	tff('12', plain, $false, inference('simplify', [status(thm)], ['11'])).
0.70/0.91	
0.70/0.91	% SZS output end Refutation
0.70/0.91	EOF
