TSTP Solution File: LAT040-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT040-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 07:14:52 EDT 2022
% Result : Unsatisfiable 0.63s 1.02s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT040-1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.12 % Command : woody %s
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 29 17:39:15 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.63/1.02 ********************************************************************************
% 0.63/1.02 * W A L D M E I S T E R \| \ / \|/ *
% 0.63/1.02 * |/ | \/ | *
% 0.63/1.02 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.63/1.02 * A. Jaeger and B. Loechner | | *
% 0.63/1.02 * <waldmeister@informatik.uni-kl.de> | *
% 0.63/1.02 ********************************************************************************
% 0.63/1.02
% 0.63/1.02
% 0.63/1.02 Goals:
% 0.63/1.02 ------
% 0.63/1.02
% 0.63/1.02 ( 1) yy ?=? zz
% 0.63/1.02
% 0.63/1.02 Detected structure: Verband
% 0.63/1.02 ********************************************************************************
% 0.63/1.02 ****************************** COMPLETION - PROOF ******************************
% 0.63/1.02 ********************************************************************************
% 0.63/1.02
% 0.63/1.02 joined goal: 1 yy ?= zz to zz
% 0.63/1.02 goal joined
% 0.63/1.02 % SZS status Unsatisfiable
% 0.63/1.02 #START OF PROOF
% 0.63/1.02 % SZS output start CNFRefutation
% 0.63/1.02 cnf('0.2.0.0',axiom,
% 0.63/1.02 ( X1 = join(X1,meet(X1,X2)) ),
% 0.63/1.02 file('/tmp/WALDMEISTER_21437_n018')).
% 0.63/1.02 cnf('0.2.1.0',plain,
% 0.63/1.02 ( X1 = join(X1,meet(X1,X2)) ),
% 0.63/1.02 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.63/1.02 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.63/1.02 cnf('0.2.2.0',plain,
% 0.63/1.02 ( join(X1,meet(X1,X2)) = X1 ),
% 0.63/1.02 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.63/1.02 [x,rule_2]).
% 0.63/1.02 cnf('0.5.0.0',axiom,
% 0.63/1.02 ( join(X1,X2) = join(X2,X1) ),
% 0.63/1.02 file('/tmp/WALDMEISTER_21437_n018')).
% 0.63/1.02 cnf('0.5.1.0',plain,
% 0.63/1.02 ( join(X1,X2) = join(X2,X1) ),
% 0.63/1.02 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.63/1.02 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.63/1.02 cnf('0.5.2.0',plain,
% 0.63/1.02 ( join(X1,X2) = join(X2,X1) ),
% 0.63/1.02 inference(activate,[status(thm)],['0.5.1.0']),
% 0.63/1.02 [equation_1]).
% 0.63/1.02 cnf('0.7.0.0',axiom,
% 0.63/1.02 ( join(X1,meet(X2,X3)) = meet(join(X1,X2),join(X1,X3)) ),
% 0.63/1.02 file('/tmp/WALDMEISTER_21437_n018')).
% 0.63/1.02 cnf('0.7.1.0',plain,
% 0.63/1.02 ( join(X1,meet(X2,X3)) = meet(join(X1,X2),join(X1,X3)) ),
% 0.63/1.02 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.63/1.02 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.63/1.02 cnf('0.7.2.0',plain,
% 0.63/1.02 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X2,X3)) ),
% 0.63/1.02 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.63/1.02 [x,rule_6]).
% 0.63/1.02 cnf('0.8.0.0',axiom,
% 0.63/1.02 ( join(xx,yy) = join(xx,zz) ),
% 0.63/1.02 file('/tmp/WALDMEISTER_21437_n018')).
% 0.63/1.02 cnf('0.8.1.0',plain,
% 0.63/1.02 ( join(xx,yy) = join(xx,zz) ),
% 0.63/1.02 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.63/1.02 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.63/1.02 cnf('0.8.1.1',plain,
% 0.63/1.02 ( join(yy,xx) = join(xx,zz) ),
% 0.63/1.02 inference(reduction,[status(thm)],['0.8.1.0','0.5.2.0',theory(equality)]),
% 0.63/1.02 [pos('L','L')]).
% 0.63/1.02 cnf('0.8.1.2',plain,
% 0.63/1.02 ( join(yy,xx) = join(zz,xx) ),
% 0.63/1.02 inference(reduction,[status(thm)],['0.8.1.1','0.5.2.0',theory(equality)]),
% 0.63/1.02 [pos('R','L')]).
% 0.63/1.02 cnf('0.8.2.0',plain,
% 0.63/1.02 ( join(yy,xx) = join(zz,xx) ),
% 0.63/1.02 inference(orient,[status(thm)],['0.8.1.2',theory(equality)]),
% 0.63/1.02 [u,rule_7]).
% 0.63/1.02 cnf('0.9.0.0',axiom,
% 0.63/1.02 ( meet(X1,X2) = meet(X2,X1) ),
% 0.63/1.02 file('/tmp/WALDMEISTER_21437_n018')).
% 0.63/1.02 cnf('0.9.1.0',plain,
% 0.63/1.02 ( meet(X1,X2) = meet(X2,X1) ),
% 0.63/1.02 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.63/1.02 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.63/1.02 cnf('0.9.2.0',plain,
% 0.63/1.02 ( meet(X1,X2) = meet(X2,X1) ),
% 0.63/1.02 inference(activate,[status(thm)],['0.9.1.0']),
% 0.63/1.02 [equation_2]).
% 0.63/1.02 cnf('0.12.0.0',axiom,
% 0.63/1.02 ( meet(xx,yy) = meet(xx,zz) ),
% 0.63/1.02 file('/tmp/WALDMEISTER_21437_n018')).
% 0.63/1.02 cnf('0.12.1.0',plain,
% 0.63/1.02 ( meet(xx,yy) = meet(xx,zz) ),
% 0.63/1.02 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.63/1.02 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.63/1.02 cnf('0.12.1.1',plain,
% 0.63/1.02 ( meet(yy,xx) = meet(xx,zz) ),
% 0.63/1.02 inference(reduction,[status(thm)],['0.12.1.0','0.9.2.0',theory(equality)]),
% 0.63/1.02 [pos('L','L')]).
% 0.63/1.02 cnf('0.12.1.2',plain,
% 0.63/1.02 ( meet(yy,xx) = meet(zz,xx) ),
% 0.63/1.02 inference(reduction,[status(thm)],['0.12.1.1','0.9.2.0',theory(equality)]),
% 0.63/1.02 [pos('R','L')]).
% 0.63/1.02 cnf('0.12.2.0',plain,
% 0.63/1.02 ( meet(yy,xx) = meet(zz,xx) ),
% 0.63/1.02 inference(orient,[status(thm)],['0.12.1.2',theory(equality)]),
% 0.63/1.02 [u,rule_10]).
% 0.63/1.02 cnf('0.19.0.0',plain,
% 0.63/1.02 ( yy = join(yy,meet(zz,xx)) ),
% 0.63/1.02 inference(cp,[status(thm)],['0.2.2.0','0.12.2.0',theory(equality)]),
% 0.63/1.02 [pos('L.2','L')]).
% 0.63/1.02 cnf('0.19.1.0',plain,
% 0.63/1.02 ( yy = join(yy,meet(zz,xx)) ),
% 0.63/1.02 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.63/1.02 [weight('<5,12,2,[0,0,0,2]>')]).
% 0.63/1.02 cnf('0.19.2.0',plain,
% 0.63/1.02 ( join(yy,meet(zz,xx)) = yy ),
% 0.63/1.02 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.63/1.02 [x,rule_17]).
% 0.63/1.02 cnf('0.32.0.0',plain,
% 0.63/1.02 ( join(X1,meet(X2,X3)) = meet(join(X1,X2),join(X3,X1)) ),
% 0.63/1.02 inference(cp,[status(thm)],['0.7.2.0','0.5.2.0',theory(equality)]),
% 0.63/1.02 [pos('L.2','L')]).
% 0.63/1.02 cnf('0.32.1.0',plain,
% 0.63/1.02 ( join(X1,meet(X2,X3)) = meet(join(X1,X2),join(X3,X1)) ),
% 0.63/1.02 inference(weigh,[status(thm)],['0.32.0.0']),
% 0.63/1.02 [weight('<7,7,5,[1,0,0,4]>')]).
% 0.63/1.02 cnf('0.32.2.0',plain,
% 0.63/1.02 ( meet(join(X1,X2),join(X3,X1)) = join(X1,meet(X2,X3)) ),
% 0.63/1.02 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.63/1.02 [x,rule_30]).
% 0.63/1.02 cnf('0.34.0.0',plain,
% 0.63/1.02 ( join(yy,meet(xx,X1)) = meet(join(zz,xx),join(yy,X1)) ),
% 0.63/1.02 inference(cp,[status(thm)],['0.7.2.0','0.8.2.0',theory(equality)]),
% 0.63/1.02 [pos('L.1','L')]).
% 0.63/1.02 cnf('0.34.1.0',plain,
% 0.63/1.02 ( join(yy,meet(xx,X1)) = meet(join(zz,xx),join(yy,X1)) ),
% 0.63/1.02 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.63/1.02 [weight('<7,8,7,[0,0,0,1]>')]).
% 0.63/1.02 cnf('0.34.2.0',plain,
% 0.63/1.02 ( meet(join(zz,xx),join(yy,X1)) = join(yy,meet(xx,X1)) ),
% 0.63/1.02 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.63/1.02 [x,rule_32]).
% 0.63/1.02 cnf('0.35.0.0',plain,
% 0.63/1.02 ( join(yy,meet(xx,zz)) = join(zz,meet(xx,yy)) ),
% 0.63/1.02 inference(cp,[status(thm)],['0.34.2.0','0.32.2.0',theory(equality)]),
% 0.63/1.02 [pos('L','L')]).
% 0.63/1.02 cnf('0.35.1.0',plain,
% 0.63/1.02 ( join(yy,meet(xx,zz)) = join(zz,meet(xx,yy)) ),
% 0.63/1.02 inference(weigh,[status(thm)],['0.35.0.0']),
% 0.63/1.02 [weight('<5,34,32,[1,0,0,0]>')]).
% 0.63/1.02 cnf('0.35.1.1',plain,
% 0.63/1.02 ( join(yy,meet(zz,xx)) = join(zz,meet(xx,yy)) ),
% 0.63/1.02 inference(reduction,[status(thm)],['0.35.1.0','0.9.2.0',theory(equality)]),
% 0.63/1.02 [pos('L.2','L')]).
% 0.63/1.02 cnf('0.35.1.2',plain,
% 0.63/1.02 ( yy = join(zz,meet(xx,yy)) ),
% 0.63/1.02 inference(reduction,[status(thm)],['0.35.1.1','0.19.2.0',theory(equality)]),
% 0.63/1.02 [pos('L','L')]).
% 0.63/1.02 cnf('0.35.1.3',plain,
% 0.63/1.02 ( yy = join(zz,meet(yy,xx)) ),
% 0.63/1.02 inference(reduction,[status(thm)],['0.35.1.2','0.9.2.0',theory(equality)]),
% 0.63/1.02 [pos('R.2','L')]).
% 0.63/1.02 cnf('0.35.1.4',plain,
% 0.63/1.02 ( yy = join(zz,meet(zz,xx)) ),
% 0.63/1.02 inference(reduction,[status(thm)],['0.35.1.3','0.12.2.0',theory(equality)]),
% 0.63/1.02 [pos('R.2','L')]).
% 0.63/1.02 cnf('0.35.1.5',plain,
% 0.63/1.02 ( yy = zz ),
% 0.63/1.02 inference(reduction,[status(thm)],['0.35.1.4','0.2.2.0',theory(equality)]),
% 0.63/1.02 [pos('R','L')]).
% 0.63/1.02 cnf('0.35.2.0',plain,
% 0.63/1.02 ( yy = zz ),
% 0.63/1.02 inference(orient,[status(thm)],['0.35.1.5',theory(equality)]),
% 0.63/1.02 [u,rule_33]).
% 0.63/1.02 cnf('1.0.0.0',conjecture,
% 0.63/1.02 ( yy = zz ),
% 0.63/1.02 file('/tmp/WALDMEISTER_21437_n018',conjecture_1)).
% 0.63/1.02 cnf('1.0.0.1',plain,
% 0.63/1.02 ( zz = zz ),
% 0.63/1.02 inference(reduction,[status(thm)],['1.0.0.0','0.35.2.0',theory(equality)]),
% 0.63/1.02 [pos('L','L')]).
% 0.63/1.02 cnf('1.0.0.2',plain,
% 0.63/1.02 ( $true ),
% 0.63/1.02 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.63/1.02 [conjecture_1]).
% 0.63/1.02
% 0.63/1.02 Proved Goals:
% 0.63/1.02 No. 1: yy ?= zz joined, current: zz = zz
% 0.63/1.02 1 goal was specified, which was proved.
% 0.63/1.02 % SZS output end CNFRefutation
% 0.63/1.02 #END OF PROOF
% 0.63/1.02
% 0.63/1.02 Problem WALDMEISTER_21437_n018
% 0.63/1.02 CPs.gen 455
% 0.63/1.02 CPs.reexp 0
% 0.63/1.02 Select 63
% 0.63/1.02 R 33
% 0.63/1.02 E 2
% 0.63/1.02 vsize 6.5M
% 0.63/1.02 rss 3.8M
% 0.63/1.02 process.time 0.004s
% 0.63/1.02 wallclock.time 0.004s
% 0.63/1.02 status S
% 0.63/1.02
% 0.63/1.02
% 0.63/1.02 Waldmeister states: Goal proved.
% 0.63/1.02 % SZS status Unsatisfiable
%------------------------------------------------------------------------------