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   : n155.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 17:29:08 CST 2018
1.08/1.27	% done 1257 iterations in 1.068s
1.08/1.27	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
1.08/1.27	% SZS output start Refutation
1.08/1.27	tff(cCD_LATTICE_THM_pme, conjecture,
1.08/1.27	  (![JOIN:((a * a) > a),MEET:((a * a) > a),TOP:a,BOTTOM:a]:
1.08/1.27	     (((![Xx:a]: (?[Xy:a]: ((MEET(Xx,Xy) = BOTTOM) & (JOIN(Xx,Xy) = TOP)))) & 
1.08/1.27	       (![Xx:a]: (JOIN(BOTTOM,Xx) = Xx)) & 
1.08/1.27	       (![Xx:a]: (MEET(BOTTOM,Xx) = BOTTOM)) & 
1.08/1.27	       (![Xx:a]: (JOIN(TOP,Xx) = TOP)) & (![Xx:a]: (MEET(TOP,Xx) = Xx)) & 
1.08/1.27	       (![Xx:a,Xy:a,Xz:a]:
1.08/1.27	          (JOIN(Xx,MEET(Xy,Xz)) = MEET(JOIN(Xx,Xy),JOIN(Xx,Xz)))) & 
1.08/1.27	       (![Xx:a,Xy:a,Xz:a]:
1.08/1.27	          (MEET(Xx,JOIN(Xy,Xz)) = JOIN(MEET(Xx,Xy),MEET(Xx,Xz)))) & 
1.08/1.27	       (![Xx:a,Xy:a]: (MEET(JOIN(Xx,Xy),Xy) = Xy)) & 
1.08/1.27	       (![Xx:a,Xy:a]: (JOIN(MEET(Xx,Xy),Xy) = Xy)) & 
1.08/1.27	       (![Xx:a,Xy:a]: (MEET(Xx,Xy) = MEET(Xy,Xx))) & 
1.08/1.27	       (![Xx:a,Xy:a]: (JOIN(Xx,Xy) = JOIN(Xy,Xx))) & 
1.08/1.27	       (![Xx:a,Xy:a,Xz:a]: (MEET(MEET(Xx,Xy),Xz) = MEET(Xx,MEET(Xy,Xz)))) & 
1.08/1.27	       (![Xx:a,Xy:a,Xz:a]: (JOIN(JOIN(Xx,Xy),Xz) = JOIN(Xx,JOIN(Xy,Xz)))) & 
1.08/1.27	       (![Xx:a]: (MEET(Xx,Xx) = Xx)) & (![Xx:a]: (JOIN(Xx,Xx) = Xx))) =>
1.08/1.27	      (![Xx:a,Xy:a,Xz:a]:
1.08/1.27	         (((MEET(Xx,Xz) = BOTTOM) & (JOIN(Xx,Xz) = TOP) & 
1.08/1.27	           (MEET(Xx,Xy) = BOTTOM) & (JOIN(Xx,Xy) = TOP)) =>
1.08/1.27	          (Xy = Xz)))))).
1.08/1.27	tff(zf_stmt_0, negated_conjecture,
1.08/1.27	  (~
1.08/1.27	    (![JOIN:((a * a) > a),MEET:((a * a) > a),TOP:a,BOTTOM:a]:
1.08/1.27	       (((![Xx:a]: (?[Xy:a]: ((MEET(Xx,Xy) = BOTTOM) & (JOIN(Xx,Xy) = TOP)))) & 
1.08/1.27	         (![Xx:a]: (JOIN(BOTTOM,Xx) = Xx)) & 
1.08/1.27	         (![Xx:a]: (MEET(BOTTOM,Xx) = BOTTOM)) & 
1.08/1.27	         (![Xx:a]: (JOIN(TOP,Xx) = TOP)) & (![Xx:a]: (MEET(TOP,Xx) = Xx)) & 
1.08/1.27	         (![Xx:a,Xy:a,Xz:a]:
1.08/1.27	            (JOIN(Xx,MEET(Xy,Xz)) = MEET(JOIN(Xx,Xy),JOIN(Xx,Xz)))) & 
1.08/1.27	         (![Xx:a,Xy:a,Xz:a]:
1.08/1.27	            (MEET(Xx,JOIN(Xy,Xz)) = JOIN(MEET(Xx,Xy),MEET(Xx,Xz)))) & 
1.08/1.27	         (![Xx:a,Xy:a]: (MEET(JOIN(Xx,Xy),Xy) = Xy)) & 
1.08/1.27	         (![Xx:a,Xy:a]: (JOIN(MEET(Xx,Xy),Xy) = Xy)) & 
1.08/1.27	         (![Xx:a,Xy:a]: (MEET(Xx,Xy) = MEET(Xy,Xx))) & 
1.08/1.27	         (![Xx:a,Xy:a]: (JOIN(Xx,Xy) = JOIN(Xy,Xx))) & 
1.08/1.27	         (![Xx:a,Xy:a,Xz:a]: (MEET(MEET(Xx,Xy),Xz) = MEET(Xx,MEET(Xy,Xz)))) & 
1.08/1.27	         (![Xx:a,Xy:a,Xz:a]: (JOIN(JOIN(Xx,Xy),Xz) = JOIN(Xx,JOIN(Xy,Xz)))) & 
1.08/1.27	         (![Xx:a]: (MEET(Xx,Xx) = Xx)) & (![Xx:a]: (JOIN(Xx,Xx) = Xx))) =>
1.08/1.27	        (![Xx:a,Xy:a,Xz:a]:
1.08/1.27	           (((MEET(Xx,Xz) = BOTTOM) & (JOIN(Xx,Xz) = TOP) & 
1.08/1.27	             (MEET(Xx,Xy) = BOTTOM) & (JOIN(Xx,Xy) = TOP)) =>
1.08/1.27	            (Xy = Xz))))))).
1.08/1.27	tff('0', plain, sk_MEET(sk_Xx, sk_Xz) = sk_BOTTOM,
1.08/1.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.08/1.27	tff('1', plain, sk_JOIN(sk_Xx, sk_Xy) = sk_TOP,
1.08/1.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.08/1.27	tff('2', plain, ![X17 : a, X18 : a]: sk_JOIN(X18, X17) = sk_JOIN(X17, X18),
1.08/1.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.08/1.27	tff('3', plain,
1.08/1.27	    ![X5 : a, X6 : a, X7 : a]:
1.08/1.27	      sk_JOIN(X5, sk_MEET(X6, X7))
1.08/1.27	       = sk_MEET(sk_JOIN(X5, X6), sk_JOIN(X5, X7)),
1.08/1.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.08/1.27	tff('4', plain,
1.08/1.27	    ![X0 : a, X1 : a, X2 : a]:
1.08/1.27	      sk_JOIN(X0, sk_MEET(X1, X2))
1.08/1.27	       = sk_MEET(sk_JOIN(X1, X0), sk_JOIN(X0, X2)),
1.08/1.27	    inference('sup+', [status(thm)], ['2', '3'])).
1.08/1.27	tff('5', plain,
1.08/1.27	    ![X0 : a]:
1.08/1.27	      sk_JOIN(sk_Xy, sk_MEET(sk_Xx, X0))
1.08/1.27	       = sk_MEET(sk_TOP, sk_JOIN(sk_Xy, X0)),
1.08/1.27	    inference('sup+', [status(thm)], ['1', '4'])).
1.08/1.27	tff('6', plain, ![X4 : a]: sk_MEET(sk_TOP, X4) = X4,
1.08/1.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.08/1.27	tff('7', plain,
1.08/1.27	    ![X0 : a]: sk_JOIN(sk_Xy, sk_MEET(sk_Xx, X0)) = sk_JOIN(sk_Xy, X0),
1.08/1.27	    inference('demod', [status(thm)], ['5', '6'])).
1.08/1.27	tff('8', plain, sk_JOIN(sk_Xy, sk_BOTTOM) = sk_JOIN(sk_Xy, sk_Xz),
1.08/1.27	    inference('sup+', [status(thm)], ['0', '7'])).
1.08/1.27	tff('9', plain, ![X1 : a]: sk_JOIN(sk_BOTTOM, X1) = X1,
1.08/1.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.08/1.27	tff('10', plain, ![X0 : a]: sk_JOIN(X0, sk_BOTTOM) = X0,
1.08/1.27	    inference('sup+', [status(thm)], ['2', '9'])).
1.08/1.27	tff('11', plain, sk_Xy = sk_JOIN(sk_Xy, sk_Xz),
1.08/1.27	    inference('demod', [status(thm)], ['8', '10'])).
1.08/1.27	tff('12', plain, ![X2 : a]: sk_JOIN(X2, sk_Xy1(X2)) = sk_TOP,
1.08/1.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.08/1.27	tff('13', plain,
1.08/1.27	    ![X8 : a, X9 : a, X10 : a]:
1.08/1.27	      sk_MEET(X8, sk_JOIN(X9, X10))
1.08/1.27	       = sk_JOIN(sk_MEET(X8, X9), sk_MEET(X8, X10)),
1.08/1.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.08/1.27	tff('14', plain,
1.08/1.27	    ![X0 : a]:
1.08/1.27	      sk_MEET(sk_Xx, sk_JOIN(sk_Xz, X0))
1.08/1.27	       = sk_JOIN(sk_BOTTOM, sk_MEET(sk_Xx, X0)),
1.08/1.27	    inference('sup+', [status(thm)], ['0', '13'])).
1.08/1.27	tff('15', plain,
1.08/1.27	    ![X0 : a]: sk_MEET(sk_Xx, sk_JOIN(sk_Xz, X0)) = sk_MEET(sk_Xx, X0),
1.08/1.27	    inference('demod', [status(thm)], ['14', '9'])).
1.08/1.27	tff('16', plain, sk_MEET(sk_Xx, sk_TOP) = sk_MEET(sk_Xx, sk_Xy1(sk_Xz)),
1.08/1.27	    inference('sup+', [status(thm)], ['12', '15'])).
1.08/1.27	tff('17', plain, ![X15 : a, X16 : a]: sk_MEET(X16, X15) = sk_MEET(X15, X16),
1.08/1.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.08/1.27	tff('18', plain, ![X0 : a]: sk_MEET(X0, sk_TOP) = X0,
1.08/1.27	    inference('sup+', [status(thm)], ['17', '6'])).
1.08/1.27	tff('19', plain, sk_Xx = sk_MEET(sk_Xx, sk_Xy1(sk_Xz)),
1.08/1.27	    inference('demod', [status(thm)], ['16', '18'])).
1.08/1.27	tff('20', plain, ![X2 : a]: sk_MEET(X2, sk_Xy1(X2)) = sk_BOTTOM,
1.08/1.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.08/1.27	tff('21', plain, sk_JOIN(sk_Xx, sk_Xz) = sk_TOP,
1.08/1.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.08/1.27	tff('22', plain,
1.08/1.27	    ![X0 : a]:
1.08/1.27	      sk_JOIN(sk_Xx, sk_MEET(sk_Xz, X0))
1.08/1.27	       = sk_MEET(sk_TOP, sk_JOIN(sk_Xx, X0)),
1.08/1.27	    inference('sup+', [status(thm)], ['21', '3'])).
1.08/1.27	tff('23', plain,
1.08/1.27	    ![X0 : a]: sk_JOIN(sk_Xx, sk_MEET(sk_Xz, X0)) = sk_JOIN(sk_Xx, X0),
1.08/1.27	    inference('demod', [status(thm)], ['22', '6'])).
1.08/1.27	tff('24', plain, sk_JOIN(sk_Xx, sk_BOTTOM) = sk_JOIN(sk_Xx, sk_Xy1(sk_Xz)),
1.08/1.27	    inference('sup+', [status(thm)], ['20', '23'])).
1.08/1.27	tff('25', plain, sk_Xx = sk_JOIN(sk_Xx, sk_Xy1(sk_Xz)),
1.08/1.27	    inference('demod', [status(thm)], ['24', '10'])).
1.08/1.27	tff('26', plain, ![X11 : a, X12 : a]: sk_MEET(sk_JOIN(X12, X11), X11) = X11,
1.08/1.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.08/1.27	tff('27', plain, ![X11 : a, X12 : a]: sk_MEET(X11, sk_JOIN(X12, X11)) = X11,
1.08/1.27	    inference('demod', [status(thm)], ['26', '17'])).
1.08/1.27	tff('28', plain, sk_MEET(sk_Xy1(sk_Xz), sk_Xx) = sk_Xy1(sk_Xz),
1.08/1.27	    inference('sup+', [status(thm)], ['25', '27'])).
1.08/1.27	tff('29', plain, sk_MEET(sk_Xx, sk_Xy1(sk_Xz)) = sk_Xy1(sk_Xz),
1.08/1.27	    inference('demod', [status(thm)], ['28', '17'])).
1.08/1.27	tff('30', plain, sk_Xx = sk_Xy1(sk_Xz),
1.08/1.27	    inference('sup+', [status(thm)], ['19', '29'])).
1.08/1.27	tff('31', plain,
1.08/1.27	    ![X0 : a, X1 : a]:
1.08/1.27	      sk_JOIN(X1, sk_MEET(sk_Xy1(X1), X0)) = sk_MEET(sk_TOP, sk_JOIN(X1, X0)),
1.08/1.27	    inference('sup+', [status(thm)], ['12', '3'])).
1.08/1.27	tff('32', plain,
1.08/1.27	    ![X0 : a, X1 : a]: sk_JOIN(X1, sk_MEET(sk_Xy1(X1), X0)) = sk_JOIN(X1, X0),
1.08/1.27	    inference('demod', [status(thm)], ['31', '6'])).
1.08/1.27	tff('33', plain,
1.08/1.27	    ![X0 : a]: sk_JOIN(X0, sk_BOTTOM) = sk_JOIN(X0, sk_Xy1(sk_Xy1(X0))),
1.08/1.27	    inference('sup+', [status(thm)], ['20', '32'])).
1.08/1.27	tff('34', plain, ![X0 : a]: X0 = sk_JOIN(X0, sk_Xy1(sk_Xy1(X0))),
1.08/1.27	    inference('demod', [status(thm)], ['33', '10'])).
1.08/1.27	tff('35', plain, sk_Xz = sk_JOIN(sk_Xz, sk_Xy1(sk_Xx)),
1.08/1.27	    inference('sup+', [status(thm)], ['30', '34'])).
1.08/1.27	tff('36', plain, sk_MEET(sk_Xx, sk_Xy) = sk_BOTTOM,
1.08/1.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.08/1.27	tff('37', plain,
1.08/1.27	    ![X0 : a]:
1.08/1.27	      sk_MEET(sk_Xx, sk_JOIN(sk_Xy, X0))
1.08/1.27	       = sk_JOIN(sk_BOTTOM, sk_MEET(sk_Xx, X0)),
1.08/1.27	    inference('sup+', [status(thm)], ['36', '13'])).
1.08/1.27	tff('38', plain,
1.08/1.27	    ![X0 : a]: sk_MEET(sk_Xx, sk_JOIN(sk_Xy, X0)) = sk_MEET(sk_Xx, X0),
1.08/1.27	    inference('demod', [status(thm)], ['37', '9'])).
1.08/1.27	tff('39', plain, sk_MEET(sk_Xx, sk_TOP) = sk_MEET(sk_Xx, sk_Xy1(sk_Xy)),
1.08/1.27	    inference('sup+', [status(thm)], ['12', '38'])).
1.08/1.27	tff('40', plain, sk_Xx = sk_MEET(sk_Xx, sk_Xy1(sk_Xy)),
1.08/1.27	    inference('demod', [status(thm)], ['39', '18'])).
1.08/1.27	tff('41', plain,
1.08/1.27	    ![X0 : a]:
1.08/1.27	      sk_JOIN(sk_Xx, sk_MEET(sk_Xy, X0))
1.08/1.27	       = sk_MEET(sk_TOP, sk_JOIN(sk_Xx, X0)),
1.08/1.27	    inference('sup+', [status(thm)], ['1', '3'])).
1.08/1.27	tff('42', plain,
1.08/1.27	    ![X0 : a]: sk_JOIN(sk_Xx, sk_MEET(sk_Xy, X0)) = sk_JOIN(sk_Xx, X0),
1.08/1.27	    inference('demod', [status(thm)], ['41', '6'])).
1.08/1.27	tff('43', plain, sk_JOIN(sk_Xx, sk_BOTTOM) = sk_JOIN(sk_Xx, sk_Xy1(sk_Xy)),
1.08/1.27	    inference('sup+', [status(thm)], ['20', '42'])).
1.08/1.27	tff('44', plain, sk_Xx = sk_JOIN(sk_Xx, sk_Xy1(sk_Xy)),
1.08/1.27	    inference('demod', [status(thm)], ['43', '10'])).
1.08/1.27	tff('45', plain, sk_MEET(sk_Xy1(sk_Xy), sk_Xx) = sk_Xy1(sk_Xy),
1.08/1.27	    inference('sup+', [status(thm)], ['44', '27'])).
1.08/1.27	tff('46', plain, sk_MEET(sk_Xx, sk_Xy1(sk_Xy)) = sk_Xy1(sk_Xy),
1.08/1.27	    inference('demod', [status(thm)], ['45', '17'])).
1.08/1.27	tff('47', plain, sk_Xx = sk_Xy1(sk_Xy),
1.08/1.27	    inference('sup+', [status(thm)], ['40', '46'])).
1.08/1.27	tff('48', plain,
1.08/1.27	    ![X0 : a, X1 : a]:
1.08/1.27	      sk_MEET(X1, sk_JOIN(sk_Xy1(X1), X0))
1.08/1.27	       = sk_JOIN(sk_BOTTOM, sk_MEET(X1, X0)),
1.08/1.27	    inference('sup+', [status(thm)], ['20', '13'])).
1.08/1.27	tff('49', plain,
1.08/1.27	    ![X0 : a, X1 : a]: sk_MEET(X1, sk_JOIN(sk_Xy1(X1), X0)) = sk_MEET(X1, X0),
1.08/1.27	    inference('demod', [status(thm)], ['48', '9'])).
1.08/1.27	tff('50', plain,
1.08/1.27	    ![X0 : a]: sk_MEET(X0, sk_TOP) = sk_MEET(X0, sk_Xy1(sk_Xy1(X0))),
1.08/1.27	    inference('sup+', [status(thm)], ['12', '49'])).
1.08/1.27	tff('51', plain, ![X0 : a]: X0 = sk_MEET(X0, sk_Xy1(sk_Xy1(X0))),
1.08/1.27	    inference('demod', [status(thm)], ['50', '18'])).
1.08/1.27	tff('52', plain, sk_Xy = sk_MEET(sk_Xy, sk_Xy1(sk_Xx)),
1.08/1.27	    inference('sup+', [status(thm)], ['47', '51'])).
1.08/1.27	tff('53', plain, sk_JOIN(sk_Xy, sk_BOTTOM) = sk_JOIN(sk_Xy, sk_Xy1(sk_Xx)),
1.08/1.27	    inference('sup+', [status(thm)], ['20', '7'])).
1.08/1.27	tff('54', plain, sk_Xy = sk_JOIN(sk_Xy, sk_Xy1(sk_Xx)),
1.08/1.27	    inference('demod', [status(thm)], ['53', '10'])).
1.08/1.27	tff('55', plain, sk_MEET(sk_Xy1(sk_Xx), sk_Xy) = sk_Xy1(sk_Xx),
1.08/1.27	    inference('sup+', [status(thm)], ['54', '27'])).
1.08/1.27	tff('56', plain, sk_MEET(sk_Xy, sk_Xy1(sk_Xx)) = sk_Xy1(sk_Xx),
1.08/1.27	    inference('demod', [status(thm)], ['55', '17'])).
1.08/1.27	tff('57', plain, sk_Xy = sk_Xy1(sk_Xx),
1.08/1.27	    inference('sup+', [status(thm)], ['52', '56'])).
1.08/1.27	tff('58', plain, sk_Xz = sk_JOIN(sk_Xy, sk_Xz),
1.08/1.27	    inference('demod', [status(thm)], ['35', '57', '2'])).
1.08/1.27	tff('59', plain, sk_Xz = sk_Xy,
1.08/1.27	    inference('sup+', [status(thm)], ['11', '58'])).
1.08/1.27	tff('60', plain, sk_Xy != sk_Xz, inference('cnf', [status(esa)], [zf_stmt_0])).
1.08/1.27	tff('61', plain, $false,
1.08/1.27	    inference('simplify_reflect-', [status(thm)], ['59', '60'])).
1.08/1.27	
1.08/1.27	% SZS output end Refutation
1.08/1.28	EOF
