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    : supatvars_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	  --sup-at-vars \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-ext-axiom \
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   : n171.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 17:28:54 CST 2018
41.38/41.56	% done 3985 iterations in 41.358s
41.38/41.56	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
41.38/41.56	% SZS output start Refutation
41.38/41.56	tff(cMODULAR_EQUIV_THM_pme, conjecture,
41.38/41.56	  (![JOIN:((a * a) > a),MEET:((a * a) > a)]:
41.38/41.56	     (((![Xx:a,Xy:a]: (MEET(JOIN(Xx,Xy),Xy) = Xy)) & 
41.38/41.56	       (![Xx:a,Xy:a]: (JOIN(MEET(Xx,Xy),Xy) = Xy)) & 
41.38/41.56	       (![Xx:a,Xy:a]: (MEET(Xx,Xy) = MEET(Xy,Xx))) & 
41.38/41.56	       (![Xx:a,Xy:a]: (JOIN(Xx,Xy) = JOIN(Xy,Xx))) & 
41.38/41.56	       (![Xx:a,Xy:a,Xz:a]: (MEET(MEET(Xx,Xy),Xz) = MEET(Xx,MEET(Xy,Xz)))) & 
41.38/41.56	       (![Xx:a,Xy:a,Xz:a]: (JOIN(JOIN(Xx,Xy),Xz) = JOIN(Xx,JOIN(Xy,Xz)))) & 
41.38/41.56	       (![Xx:a]: (MEET(Xx,Xx) = Xx)) & (![Xx:a]: (JOIN(Xx,Xx) = Xx))) =>
41.38/41.56	      ((![Xx:a,Xy:a,Xz:a]:
41.38/41.56	          ((JOIN(Xx,Xz) = Xz) =>
41.38/41.56	           (JOIN(Xx,MEET(Xy,Xz)) = MEET(JOIN(Xx,Xy),Xz)))) <=>
41.38/41.56	       (![Xx:a,Xy:a,Xz:a]:
41.38/41.56	          (JOIN(Xx,MEET(Xy,JOIN(Xx,Xz))) = MEET(JOIN(Xx,Xy),JOIN(Xx,Xz)))))))).
41.38/41.56	tff(zf_stmt_0, negated_conjecture,
41.38/41.56	  (~
41.38/41.56	    (![JOIN:((a * a) > a),MEET:((a * a) > a)]:
41.38/41.56	       (((![Xx:a,Xy:a]: (MEET(JOIN(Xx,Xy),Xy) = Xy)) & 
41.38/41.56	         (![Xx:a,Xy:a]: (JOIN(MEET(Xx,Xy),Xy) = Xy)) & 
41.38/41.56	         (![Xx:a,Xy:a]: (MEET(Xx,Xy) = MEET(Xy,Xx))) & 
41.38/41.56	         (![Xx:a,Xy:a]: (JOIN(Xx,Xy) = JOIN(Xy,Xx))) & 
41.38/41.56	         (![Xx:a,Xy:a,Xz:a]: (MEET(MEET(Xx,Xy),Xz) = MEET(Xx,MEET(Xy,Xz)))) & 
41.38/41.56	         (![Xx:a,Xy:a,Xz:a]: (JOIN(JOIN(Xx,Xy),Xz) = JOIN(Xx,JOIN(Xy,Xz)))) & 
41.38/41.56	         (![Xx:a]: (MEET(Xx,Xx) = Xx)) & (![Xx:a]: (JOIN(Xx,Xx) = Xx))) =>
41.38/41.56	        ((![Xx:a,Xy:a,Xz:a]:
41.38/41.56	            ((JOIN(Xx,Xz) = Xz) =>
41.38/41.56	             (JOIN(Xx,MEET(Xy,Xz)) = MEET(JOIN(Xx,Xy),Xz)))) <=>
41.38/41.56	         (![Xx:a,Xy:a,Xz:a]:
41.38/41.56	            (JOIN(Xx,MEET(Xy,JOIN(Xx,Xz))) = MEET(JOIN(Xx,Xy),JOIN(Xx,Xz))))))))).
41.38/41.56	tff('0', plain,
41.38/41.56	    (sk_JOIN(sk_Xx, sk_MEET(sk_Xy, sk_JOIN(sk_Xx, sk_Xz)))
41.38/41.56	      != sk_MEET(sk_JOIN(sk_Xx, sk_Xy), sk_JOIN(sk_Xx, sk_Xz))
41.38/41.56	     | sk_JOIN(sk_Xx1, sk_MEET(sk_Xy1, sk_Xz1))
41.38/41.56	        != sk_MEET(sk_JOIN(sk_Xx1, sk_Xy1), sk_Xz1)),
41.38/41.56	    inference('cnf', [status(esa)], [zf_stmt_0])).
41.38/41.56	tff('1', plain, ![X10 : a, X11 : a]: sk_MEET(X11, X10) = sk_MEET(X10, X11),
41.38/41.56	    inference('cnf', [status(esa)], [zf_stmt_0])).
41.38/41.56	tff('2', plain,
41.38/41.56	    (sk_JOIN(sk_Xx, sk_MEET(sk_Xy, sk_JOIN(sk_Xx, sk_Xz)))
41.38/41.56	      != sk_MEET(sk_JOIN(sk_Xx, sk_Xy), sk_JOIN(sk_Xx, sk_Xz))
41.38/41.56	     | sk_JOIN(sk_Xx1, sk_MEET(sk_Xz1, sk_Xy1))
41.38/41.56	        != sk_MEET(sk_Xz1, sk_JOIN(sk_Xx1, sk_Xy1))),
41.38/41.56	    inference('demod', [status(thm)], ['0', '1', '1'])).
41.38/41.56	tff('3', plain,
41.38/41.56	    ![X0 : a, X1 : a, X2 : a, X3 : a, X4 : a, X5 : a]:
41.38/41.56	      (sk_JOIN(X0, sk_MEET(X1, sk_JOIN(X0, X2)))
41.38/41.56	        = sk_MEET(sk_JOIN(X0, X1), sk_JOIN(X0, X2))
41.38/41.56	       | sk_JOIN(X4, X3) != X3
41.38/41.56	       | sk_JOIN(X4, sk_MEET(X5, X3)) = sk_MEET(sk_JOIN(X4, X5), X3)),
41.38/41.56	    inference('cnf', [status(esa)], [zf_stmt_0])).
41.38/41.56	tff('4', plain,
41.38/41.56	    ![X0 : a, X1 : a, X2 : a]:
41.38/41.56	      (sk_JOIN(X1, sk_MEET(X2, sk_JOIN(X1, X0)))
41.38/41.56	        != sk_JOIN(X1, sk_MEET(X2, sk_JOIN(X1, X0)))
41.38/41.56	       | sk_JOIN(X1, sk_JOIN(X1, X0)) != sk_JOIN(X1, X0)
41.38/41.56	       | sk_JOIN(X1, sk_MEET(X2, sk_JOIN(X1, X0)))
41.38/41.56	          = sk_MEET(sk_JOIN(X1, X2), sk_JOIN(X1, X0))),
41.38/41.56	    inference('eq_fact', [status(thm)], ['3'])).
41.38/41.56	tff('5', plain,
41.38/41.56	    ![X0 : a, X1 : a, X2 : a]:
41.38/41.56	      (sk_JOIN(X1, sk_MEET(X2, sk_JOIN(X1, X0)))
41.38/41.56	        = sk_MEET(sk_JOIN(X1, X2), sk_JOIN(X1, X0))
41.38/41.56	       | sk_JOIN(X1, sk_JOIN(X1, X0)) != sk_JOIN(X1, X0)),
41.38/41.56	    inference('simplify', [status(thm)], ['4'])).
41.38/41.56	tff('6', plain, ![X16 : a, X17 : a]: sk_JOIN(X17, X16) = sk_JOIN(X16, X17),
41.38/41.56	    inference('cnf', [status(esa)], [zf_stmt_0])).
41.38/41.56	tff('7', plain, ![X14 : a, X15 : a]: sk_MEET(sk_JOIN(X15, X14), X14) = X14,
41.38/41.56	    inference('cnf', [status(esa)], [zf_stmt_0])).
41.38/41.56	tff('8', plain, ![X14 : a, X15 : a]: sk_MEET(X14, sk_JOIN(X15, X14)) = X14,
41.38/41.56	    inference('demod', [status(thm)], ['7', '1'])).
41.38/41.56	tff('9', plain, ![X0 : a, X1 : a]: sk_MEET(X1, sk_JOIN(X1, X0)) = X1,
41.38/41.56	    inference('sup+', [status(thm)], ['6', '8'])).
41.38/41.56	tff('10', plain, ![X12 : a, X13 : a]: sk_JOIN(sk_MEET(X13, X12), X12) = X12,
41.38/41.56	    inference('cnf', [status(esa)], [zf_stmt_0])).
41.38/41.56	tff('11', plain, ![X12 : a, X13 : a]: sk_JOIN(X12, sk_MEET(X13, X12)) = X12,
41.38/41.56	    inference('demod', [status(thm)], ['10', '6'])).
41.38/41.56	tff('12', plain,
41.38/41.56	    ![X0 : a, X1 : a]: sk_JOIN(sk_JOIN(X0, X1), X0) = sk_JOIN(X0, X1),
41.38/41.56	    inference('sup+', [status(thm)], ['9', '11'])).
41.38/41.56	tff('13', plain,
41.38/41.56	    ![X0 : a, X1 : a]: sk_JOIN(X0, sk_JOIN(X0, X1)) = sk_JOIN(X0, X1),
41.38/41.56	    inference('demod', [status(thm)], ['12', '6'])).
41.38/41.56	tff('14', plain,
41.38/41.56	    ![X0 : a, X1 : a, X2 : a]:
41.38/41.56	      (sk_JOIN(X1, sk_MEET(X2, sk_JOIN(X1, X0)))
41.38/41.56	        = sk_MEET(sk_JOIN(X1, X2), sk_JOIN(X1, X0))
41.38/41.56	       | sk_JOIN(X1, X0) != sk_JOIN(X1, X0)),
41.38/41.56	    inference('demod', [status(thm)], ['5', '13'])).
41.38/41.56	tff('15', plain,
41.38/41.56	    ![X0 : a, X1 : a, X2 : a]:
41.38/41.56	      sk_JOIN(X1, sk_MEET(X2, sk_JOIN(X1, X0)))
41.38/41.56	       = sk_MEET(sk_JOIN(X1, X2), sk_JOIN(X1, X0)),
41.38/41.56	    inference('simplify', [status(thm)], ['14'])).
41.38/41.56	tff('16', plain,
41.38/41.56	    (sk_JOIN(sk_Xx, sk_MEET(sk_Xy, sk_JOIN(sk_Xx, sk_Xz)))
41.38/41.56	      != sk_JOIN(sk_Xx, sk_MEET(sk_Xy, sk_JOIN(sk_Xx, sk_Xz)))
41.38/41.56	     | sk_JOIN(sk_Xx1, sk_MEET(sk_Xz1, sk_Xy1))
41.38/41.56	        != sk_MEET(sk_Xz1, sk_JOIN(sk_Xx1, sk_Xy1))),
41.38/41.56	    inference('demod', [status(thm)], ['2', '15'])).
41.38/41.56	tff('17', plain,
41.38/41.56	    sk_JOIN(sk_Xx1, sk_MEET(sk_Xz1, sk_Xy1))
41.38/41.56	     != sk_MEET(sk_Xz1, sk_JOIN(sk_Xx1, sk_Xy1)),
41.38/41.56	    inference('simplify', [status(thm)], ['16'])).
41.38/41.56	tff('18', plain,
41.38/41.56	    (sk_JOIN(sk_Xx, sk_MEET(sk_Xy, sk_JOIN(sk_Xx, sk_Xz)))
41.38/41.56	      != sk_MEET(sk_JOIN(sk_Xx, sk_Xy), sk_JOIN(sk_Xx, sk_Xz))
41.38/41.56	     | sk_JOIN(sk_Xx1, sk_Xz1) = sk_Xz1),
41.38/41.56	    inference('cnf', [status(esa)], [zf_stmt_0])).
41.38/41.56	tff('19', plain,
41.38/41.56	    (sk_JOIN(sk_Xx, sk_MEET(sk_Xy, sk_JOIN(sk_Xx, sk_Xz)))
41.38/41.56	      != sk_MEET(sk_JOIN(sk_Xx, sk_Xy), sk_JOIN(sk_Xx, sk_Xz))
41.38/41.56	     | sk_JOIN(sk_Xz1, sk_Xx1) = sk_Xz1),
41.38/41.56	    inference('demod', [status(thm)], ['18', '6'])).
41.38/41.56	tff('20', plain,
41.38/41.56	    (sk_JOIN(sk_Xx, sk_MEET(sk_Xy, sk_JOIN(sk_Xx, sk_Xz)))
41.38/41.56	      != sk_JOIN(sk_Xx, sk_MEET(sk_Xy, sk_JOIN(sk_Xx, sk_Xz)))
41.38/41.56	     | sk_JOIN(sk_Xz1, sk_Xx1) = sk_Xz1),
41.38/41.56	    inference('demod', [status(thm)], ['19', '15'])).
41.38/41.56	tff('21', plain, sk_JOIN(sk_Xz1, sk_Xx1) = sk_Xz1,
41.38/41.56	    inference('simplify', [status(thm)], ['20'])).
41.38/41.56	tff('22', plain,
41.38/41.56	    ![X0 : a, X1 : a, X2 : a]:
41.38/41.56	      sk_JOIN(X0, sk_MEET(X2, sk_JOIN(X0, X1)))
41.38/41.56	       = sk_MEET(sk_JOIN(X0, X2), sk_JOIN(X1, X0)),
41.38/41.56	    inference('sup+', [status(thm)], ['6', '15'])).
41.38/41.56	tff('23', plain,
41.38/41.56	    ![X0 : a]:
41.38/41.56	      sk_JOIN(sk_Xx1, sk_MEET(X0, sk_JOIN(sk_Xx1, sk_Xz1)))
41.38/41.56	       = sk_MEET(sk_JOIN(sk_Xx1, X0), sk_Xz1),
41.38/41.56	    inference('sup+', [status(thm)], ['21', '22'])).
41.38/41.56	tff('24', plain,
41.38/41.56	    ![X0 : a]:
41.38/41.56	      sk_JOIN(sk_Xx1, sk_MEET(X0, sk_Xz1))
41.38/41.56	       = sk_MEET(sk_Xz1, sk_JOIN(sk_Xx1, X0)),
41.38/41.56	    inference('demod', [status(thm)], ['23', '6', '21', '1'])).
41.38/41.56	tff('25', plain,
41.38/41.56	    sk_JOIN(sk_Xx1, sk_MEET(sk_Xz1, sk_Xy1))
41.38/41.56	     != sk_JOIN(sk_Xx1, sk_MEET(sk_Xz1, sk_Xy1)),
41.38/41.56	    inference('demod', [status(thm)], ['17', '24', '1'])).
41.38/41.56	tff('26', plain, $false, inference('simplify', [status(thm)], ['25'])).
41.38/41.56	
41.38/41.56	% SZS output end Refutation
41.38/41.57	EOF
