0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : supatvars_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	  --sup-at-vars \
0.00/0.01	  --restrict-hidden-sup-at-vars \
0.00/0.01	  --ho-ext-axiom \
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
0.00/0.21	% Computer   : n127.star.cs.uiowa.edu
0.00/0.21	% Model      : x86_64 x86_64
0.00/0.21	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.21	% Memory     : 32218.625MB
0.00/0.21	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.21	% CPULimit   : 300
0.00/0.21	% DateTime   : Fri Feb  2 17:28:54 CST 2018
33.72/33.96	% done 3773 iterations in 33.747s
33.72/33.96	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
33.72/33.96	% SZS output start Refutation
33.72/33.96	tff(cMODULAR_EQUIV_THM_pme, conjecture,
33.72/33.96	  (![JOIN:((a * a) > a),MEET:((a * a) > a)]:
33.72/33.96	     (((![Xx:a,Xy:a]: (MEET(JOIN(Xx,Xy),Xy) = Xy)) & 
33.72/33.96	       (![Xx:a,Xy:a]: (JOIN(MEET(Xx,Xy),Xy) = Xy)) & 
33.72/33.96	       (![Xx:a,Xy:a]: (MEET(Xx,Xy) = MEET(Xy,Xx))) & 
33.72/33.96	       (![Xx:a,Xy:a]: (JOIN(Xx,Xy) = JOIN(Xy,Xx))) & 
33.72/33.96	       (![Xx:a,Xy:a,Xz:a]: (MEET(MEET(Xx,Xy),Xz) = MEET(Xx,MEET(Xy,Xz)))) & 
33.72/33.96	       (![Xx:a,Xy:a,Xz:a]: (JOIN(JOIN(Xx,Xy),Xz) = JOIN(Xx,JOIN(Xy,Xz)))) & 
33.72/33.96	       (![Xx:a]: (MEET(Xx,Xx) = Xx)) & (![Xx:a]: (JOIN(Xx,Xx) = Xx))) =>
33.72/33.96	      ((![Xx:a,Xy:a,Xz:a]:
33.72/33.96	          ((JOIN(Xx,Xz) = Xz) =>
33.72/33.96	           (JOIN(Xx,MEET(Xy,Xz)) = MEET(JOIN(Xx,Xy),Xz)))) <=>
33.72/33.96	       (![Xx:a,Xy:a,Xz:a]:
33.72/33.96	          (JOIN(Xx,MEET(Xy,JOIN(Xx,Xz))) = MEET(JOIN(Xx,Xy),JOIN(Xx,Xz)))))))).
33.72/33.96	tff(zf_stmt_0, negated_conjecture,
33.72/33.96	  (~
33.72/33.96	    (![JOIN:((a * a) > a),MEET:((a * a) > a)]:
33.72/33.96	       (((![Xx:a,Xy:a]: (MEET(JOIN(Xx,Xy),Xy) = Xy)) & 
33.72/33.96	         (![Xx:a,Xy:a]: (JOIN(MEET(Xx,Xy),Xy) = Xy)) & 
33.72/33.96	         (![Xx:a,Xy:a]: (MEET(Xx,Xy) = MEET(Xy,Xx))) & 
33.72/33.96	         (![Xx:a,Xy:a]: (JOIN(Xx,Xy) = JOIN(Xy,Xx))) & 
33.72/33.96	         (![Xx:a,Xy:a,Xz:a]: (MEET(MEET(Xx,Xy),Xz) = MEET(Xx,MEET(Xy,Xz)))) & 
33.72/33.96	         (![Xx:a,Xy:a,Xz:a]: (JOIN(JOIN(Xx,Xy),Xz) = JOIN(Xx,JOIN(Xy,Xz)))) & 
33.72/33.96	         (![Xx:a]: (MEET(Xx,Xx) = Xx)) & (![Xx:a]: (JOIN(Xx,Xx) = Xx))) =>
33.72/33.96	        ((![Xx:a,Xy:a,Xz:a]:
33.72/33.96	            ((JOIN(Xx,Xz) = Xz) =>
33.72/33.96	             (JOIN(Xx,MEET(Xy,Xz)) = MEET(JOIN(Xx,Xy),Xz)))) <=>
33.72/33.96	         (![Xx:a,Xy:a,Xz:a]:
33.72/33.96	            (JOIN(Xx,MEET(Xy,JOIN(Xx,Xz))) = MEET(JOIN(Xx,Xy),JOIN(Xx,Xz))))))))).
33.72/33.96	tff('0', plain,
33.72/33.96	    (sk_JOIN(sk_Xx, sk_MEET(sk_Xy, sk_JOIN(sk_Xx, sk_Xz)))
33.72/33.96	      != sk_MEET(sk_JOIN(sk_Xx, sk_Xy), sk_JOIN(sk_Xx, sk_Xz))
33.72/33.96	     | sk_JOIN(sk_Xx1, sk_MEET(sk_Xy1, sk_Xz1))
33.72/33.96	        != sk_MEET(sk_JOIN(sk_Xx1, sk_Xy1), sk_Xz1)),
33.72/33.96	    inference('cnf', [status(esa)], [zf_stmt_0])).
33.72/33.96	tff('1', plain, ![X10 : a, X11 : a]: sk_MEET(X11, X10) = sk_MEET(X10, X11),
33.72/33.96	    inference('cnf', [status(esa)], [zf_stmt_0])).
33.72/33.96	tff('2', plain,
33.72/33.96	    (sk_JOIN(sk_Xx, sk_MEET(sk_Xy, sk_JOIN(sk_Xx, sk_Xz)))
33.72/33.96	      != sk_MEET(sk_JOIN(sk_Xx, sk_Xy), sk_JOIN(sk_Xx, sk_Xz))
33.72/33.96	     | sk_JOIN(sk_Xx1, sk_MEET(sk_Xz1, sk_Xy1))
33.72/33.96	        != sk_MEET(sk_Xz1, sk_JOIN(sk_Xx1, sk_Xy1))),
33.72/33.96	    inference('demod', [status(thm)], ['0', '1', '1'])).
33.72/33.96	tff('3', plain,
33.72/33.96	    ![X0 : a, X1 : a, X2 : a, X3 : a, X4 : a, X5 : a]:
33.72/33.96	      (sk_JOIN(X0, sk_MEET(X1, sk_JOIN(X0, X2)))
33.72/33.96	        = sk_MEET(sk_JOIN(X0, X1), sk_JOIN(X0, X2))
33.72/33.96	       | sk_JOIN(X4, X3) != X3
33.72/33.96	       | sk_JOIN(X4, sk_MEET(X5, X3)) = sk_MEET(sk_JOIN(X4, X5), X3)),
33.72/33.96	    inference('cnf', [status(esa)], [zf_stmt_0])).
33.72/33.96	tff('4', plain,
33.72/33.96	    ![X0 : a, X1 : a, X2 : a]:
33.72/33.96	      (sk_JOIN(X1, sk_MEET(X2, sk_JOIN(X1, X0)))
33.72/33.96	        != sk_JOIN(X1, sk_MEET(X2, sk_JOIN(X1, X0)))
33.72/33.96	       | sk_JOIN(X1, sk_JOIN(X1, X0)) != sk_JOIN(X1, X0)
33.72/33.96	       | sk_JOIN(X1, sk_MEET(X2, sk_JOIN(X1, X0)))
33.72/33.96	          = sk_MEET(sk_JOIN(X1, X2), sk_JOIN(X1, X0))),
33.72/33.96	    inference('eq_fact', [status(thm)], ['3'])).
33.72/33.96	tff('5', plain,
33.72/33.96	    ![X0 : a, X1 : a, X2 : a]:
33.72/33.96	      (sk_JOIN(X1, sk_MEET(X2, sk_JOIN(X1, X0)))
33.72/33.96	        = sk_MEET(sk_JOIN(X1, X2), sk_JOIN(X1, X0))
33.72/33.96	       | sk_JOIN(X1, sk_JOIN(X1, X0)) != sk_JOIN(X1, X0)),
33.72/33.96	    inference('simplify', [status(thm)], ['4'])).
33.72/33.96	tff('6', plain, ![X16 : a, X17 : a]: sk_JOIN(X17, X16) = sk_JOIN(X16, X17),
33.72/33.96	    inference('cnf', [status(esa)], [zf_stmt_0])).
33.72/33.96	tff('7', plain, ![X14 : a, X15 : a]: sk_MEET(sk_JOIN(X15, X14), X14) = X14,
33.72/33.96	    inference('cnf', [status(esa)], [zf_stmt_0])).
33.72/33.96	tff('8', plain, ![X14 : a, X15 : a]: sk_MEET(X14, sk_JOIN(X15, X14)) = X14,
33.72/33.96	    inference('demod', [status(thm)], ['7', '1'])).
33.72/33.96	tff('9', plain, ![X0 : a, X1 : a]: sk_MEET(X1, sk_JOIN(X1, X0)) = X1,
33.72/33.96	    inference('sup+', [status(thm)], ['6', '8'])).
33.72/33.96	tff('10', plain, ![X12 : a, X13 : a]: sk_JOIN(sk_MEET(X13, X12), X12) = X12,
33.72/33.96	    inference('cnf', [status(esa)], [zf_stmt_0])).
33.72/33.96	tff('11', plain, ![X12 : a, X13 : a]: sk_JOIN(X12, sk_MEET(X13, X12)) = X12,
33.72/33.96	    inference('demod', [status(thm)], ['10', '6'])).
33.72/33.96	tff('12', plain,
33.72/33.96	    ![X0 : a, X1 : a]: sk_JOIN(sk_JOIN(X0, X1), X0) = sk_JOIN(X0, X1),
33.72/33.96	    inference('sup+', [status(thm)], ['9', '11'])).
33.72/33.96	tff('13', plain,
33.72/33.96	    ![X0 : a, X1 : a]: sk_JOIN(X0, sk_JOIN(X0, X1)) = sk_JOIN(X0, X1),
33.72/33.96	    inference('demod', [status(thm)], ['12', '6'])).
33.72/33.96	tff('14', plain,
33.72/33.96	    ![X0 : a, X1 : a, X2 : a]:
33.72/33.96	      (sk_JOIN(X1, sk_MEET(X2, sk_JOIN(X1, X0)))
33.72/33.96	        = sk_MEET(sk_JOIN(X1, X2), sk_JOIN(X1, X0))
33.72/33.96	       | sk_JOIN(X1, X0) != sk_JOIN(X1, X0)),
33.72/33.96	    inference('demod', [status(thm)], ['5', '13'])).
33.72/33.96	tff('15', plain,
33.72/33.96	    ![X0 : a, X1 : a, X2 : a]:
33.72/33.96	      sk_JOIN(X1, sk_MEET(X2, sk_JOIN(X1, X0)))
33.72/33.96	       = sk_MEET(sk_JOIN(X1, X2), sk_JOIN(X1, X0)),
33.72/33.96	    inference('simplify', [status(thm)], ['14'])).
33.72/33.96	tff('16', plain,
33.72/33.96	    (sk_JOIN(sk_Xx, sk_MEET(sk_Xy, sk_JOIN(sk_Xx, sk_Xz)))
33.72/33.96	      != sk_JOIN(sk_Xx, sk_MEET(sk_Xy, sk_JOIN(sk_Xx, sk_Xz)))
33.72/33.96	     | sk_JOIN(sk_Xx1, sk_MEET(sk_Xz1, sk_Xy1))
33.72/33.96	        != sk_MEET(sk_Xz1, sk_JOIN(sk_Xx1, sk_Xy1))),
33.72/33.96	    inference('demod', [status(thm)], ['2', '15'])).
33.72/33.96	tff('17', plain,
33.72/33.96	    sk_JOIN(sk_Xx1, sk_MEET(sk_Xz1, sk_Xy1))
33.72/33.96	     != sk_MEET(sk_Xz1, sk_JOIN(sk_Xx1, sk_Xy1)),
33.72/33.96	    inference('simplify', [status(thm)], ['16'])).
33.72/33.96	tff('18', plain,
33.72/33.96	    (sk_JOIN(sk_Xx, sk_MEET(sk_Xy, sk_JOIN(sk_Xx, sk_Xz)))
33.72/33.96	      != sk_MEET(sk_JOIN(sk_Xx, sk_Xy), sk_JOIN(sk_Xx, sk_Xz))
33.72/33.96	     | sk_JOIN(sk_Xx1, sk_Xz1) = sk_Xz1),
33.72/33.96	    inference('cnf', [status(esa)], [zf_stmt_0])).
33.72/33.96	tff('19', plain,
33.72/33.96	    (sk_JOIN(sk_Xx, sk_MEET(sk_Xy, sk_JOIN(sk_Xx, sk_Xz)))
33.72/33.96	      != sk_MEET(sk_JOIN(sk_Xx, sk_Xy), sk_JOIN(sk_Xx, sk_Xz))
33.72/33.96	     | sk_JOIN(sk_Xz1, sk_Xx1) = sk_Xz1),
33.72/33.96	    inference('demod', [status(thm)], ['18', '6'])).
33.72/33.96	tff('20', plain,
33.72/33.96	    (sk_JOIN(sk_Xx, sk_MEET(sk_Xy, sk_JOIN(sk_Xx, sk_Xz)))
33.72/33.96	      != sk_JOIN(sk_Xx, sk_MEET(sk_Xy, sk_JOIN(sk_Xx, sk_Xz)))
33.72/33.96	     | sk_JOIN(sk_Xz1, sk_Xx1) = sk_Xz1),
33.72/33.96	    inference('demod', [status(thm)], ['19', '15'])).
33.72/33.96	tff('21', plain, sk_JOIN(sk_Xz1, sk_Xx1) = sk_Xz1,
33.72/33.96	    inference('simplify', [status(thm)], ['20'])).
33.72/33.96	tff('22', plain,
33.72/33.96	    ![X0 : a, X1 : a, X2 : a]:
33.72/33.96	      sk_JOIN(X0, sk_MEET(X2, sk_JOIN(X0, X1)))
33.72/33.96	       = sk_MEET(sk_JOIN(X0, X2), sk_JOIN(X1, X0)),
33.72/33.96	    inference('sup+', [status(thm)], ['6', '15'])).
33.72/33.96	tff('23', plain,
33.72/33.96	    ![X0 : a]:
33.72/33.96	      sk_JOIN(sk_Xx1, sk_MEET(X0, sk_JOIN(sk_Xx1, sk_Xz1)))
33.72/33.96	       = sk_MEET(sk_JOIN(sk_Xx1, X0), sk_Xz1),
33.72/33.96	    inference('sup+', [status(thm)], ['21', '22'])).
33.72/33.96	tff('24', plain,
33.72/33.96	    ![X0 : a]:
33.72/33.96	      sk_JOIN(sk_Xx1, sk_MEET(X0, sk_Xz1))
33.72/33.96	       = sk_MEET(sk_Xz1, sk_JOIN(sk_Xx1, X0)),
33.72/33.96	    inference('demod', [status(thm)], ['23', '6', '21', '1'])).
33.72/33.96	tff('25', plain,
33.72/33.96	    ![X0 : a]:
33.72/33.96	      sk_JOIN(sk_Xx1, sk_MEET(sk_MEET(X0, sk_Xz1), sk_Xz1))
33.72/33.96	       = sk_MEET(sk_Xz1, sk_MEET(sk_Xz1, sk_JOIN(sk_Xx1, X0))),
33.72/33.96	    inference('sup+', [status(thm)], ['24', '24'])).
33.72/33.96	tff('26', plain,
33.72/33.96	    ![X7 : a, X8 : a, X9 : a]:
33.72/33.96	      sk_MEET(sk_MEET(X7, X8), X9) = sk_MEET(X7, sk_MEET(X8, X9)),
33.72/33.96	    inference('cnf', [status(esa)], [zf_stmt_0])).
33.72/33.96	tff('27', plain,
33.72/33.96	    ![X0 : a, X1 : a, X2 : a]:
33.72/33.96	      sk_MEET(sk_MEET(X1, X0), X2) = sk_MEET(X0, sk_MEET(X1, X2)),
33.72/33.96	    inference('sup+', [status(thm)], ['1', '26'])).
33.72/33.96	tff('28', plain, ![X0 : a, X1 : a]: sk_JOIN(sk_MEET(X1, X0), X1) = X1,
33.72/33.96	    inference('sup+', [status(thm)], ['1', '10'])).
33.72/33.96	tff('29', plain, ![X0 : a, X1 : a]: sk_JOIN(X1, sk_MEET(X1, X0)) = X1,
33.72/33.96	    inference('demod', [status(thm)], ['28', '6'])).
33.72/33.96	tff('30', plain,
33.72/33.96	    ![X0 : a, X1 : a]: sk_MEET(sk_MEET(X0, X1), X0) = sk_MEET(X0, X1),
33.72/33.96	    inference('sup+', [status(thm)], ['29', '8'])).
33.72/33.96	tff('31', plain,
33.72/33.96	    ![X0 : a, X1 : a]: sk_MEET(X0, sk_MEET(X0, X1)) = sk_MEET(X0, X1),
33.72/33.96	    inference('demod', [status(thm)], ['30', '1'])).
33.72/33.96	tff('32', plain,
33.72/33.96	    ![X0 : a, X1 : a]: sk_MEET(X0, sk_MEET(X1, X0)) = sk_MEET(X0, X1),
33.72/33.96	    inference('sup+', [status(thm)], ['1', '31'])).
33.72/33.96	tff('33', plain,
33.72/33.96	    ![X0 : a]:
33.72/33.96	      sk_JOIN(sk_Xx1, sk_MEET(sk_Xz1, X0))
33.72/33.96	       = sk_MEET(sk_Xz1, sk_JOIN(sk_Xx1, X0)),
33.72/33.96	    inference('demod', [status(thm)], ['25', '27', '32', '31'])).
33.72/33.96	tff('34', plain,
33.72/33.96	    sk_JOIN(sk_Xx1, sk_MEET(sk_Xz1, sk_Xy1))
33.72/33.96	     != sk_JOIN(sk_Xx1, sk_MEET(sk_Xz1, sk_Xy1)),
33.72/33.96	    inference('demod', [status(thm)], ['17', '33'])).
33.72/33.96	tff('35', plain, $false, inference('simplify', [status(thm)], ['34'])).
33.72/33.96	
33.72/33.96	% SZS output end Refutation
33.72/33.97	EOF
