TSTP Solution File: GRP699-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP699-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n025.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 : Sat Jul 16 12:28:04 EDT 2022
% Result : Unsatisfiable 0.63s 1.07s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP699-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : woody %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 09:50:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.61/1.01 ********************************************************************************
% 0.61/1.01 * W A L D M E I S T E R \| \ / \|/ *
% 0.61/1.01 * |/ | \/ | *
% 0.61/1.01 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.61/1.01 * A. Jaeger and B. Loechner | | *
% 0.61/1.01 * <waldmeister@informatik.uni-kl.de> | *
% 0.61/1.01 ********************************************************************************
% 0.61/1.01
% 0.61/1.01
% 0.61/1.01 Goals:
% 0.61/1.01 ------
% 0.61/1.01
% 0.61/1.01 ( 1) mult(mult(a,b),c) ?=? mult(mult(a,c),ld(c,mult(b,c)))
% 0.61/1.01
% 0.61/1.01 Detected structure: Loop
% 0.61/1.01 ********************************************************************************
% 0.61/1.01 ****************************** COMPLETION - PROOF ******************************
% 0.61/1.01 ********************************************************************************
% 0.61/1.01
% 0.63/1.07 joined goal: 1 mult(mult(a,b),c) ?= mult(mult(a,c),ld(c,mult(b,c))) to mult(mult(a,b),c)
% 0.63/1.07 goal joined
% 0.63/1.07 % SZS status Unsatisfiable
% 0.63/1.07 #START OF PROOF
% 0.63/1.07 % SZS output start CNFRefutation
% 0.63/1.07 cnf('0.1.0.0',axiom,
% 0.63/1.07 ( X1 = mult(X2,ld(X2,X1)) ),
% 0.63/1.07 file('/tmp/WALDMEISTER_16676_n025')).
% 0.63/1.07 cnf('0.1.1.0',plain,
% 0.63/1.07 ( X1 = mult(X2,ld(X2,X1)) ),
% 0.63/1.07 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.63/1.07 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.63/1.07 cnf('0.1.2.0',plain,
% 0.63/1.07 ( mult(X1,ld(X1,X2)) = X2 ),
% 0.63/1.07 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.63/1.07 [x,rule_1]).
% 0.63/1.07 cnf('0.3.0.0',axiom,
% 0.63/1.07 ( X1 = mult(unit,X1) ),
% 0.63/1.07 file('/tmp/WALDMEISTER_16676_n025')).
% 0.63/1.07 cnf('0.3.1.0',plain,
% 0.63/1.07 ( X1 = mult(unit,X1) ),
% 0.63/1.07 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.63/1.07 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.63/1.07 cnf('0.3.2.0',plain,
% 0.63/1.07 ( mult(unit,X1) = X1 ),
% 0.63/1.07 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.63/1.07 [x,rule_3]).
% 0.63/1.07 cnf('0.4.0.0',axiom,
% 0.63/1.07 ( X1 = mult(rd(X1,X2),X2) ),
% 0.63/1.07 file('/tmp/WALDMEISTER_16676_n025')).
% 0.63/1.07 cnf('0.4.1.0',plain,
% 0.63/1.07 ( X1 = mult(rd(X1,X2),X2) ),
% 0.63/1.07 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.63/1.07 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.63/1.07 cnf('0.4.2.0',plain,
% 0.63/1.07 ( mult(rd(X1,X2),X2) = X1 ),
% 0.63/1.07 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.63/1.07 [x,rule_4]).
% 0.63/1.07 cnf('0.5.0.0',axiom,
% 0.63/1.07 ( X1 = rd(mult(X1,X2),X2) ),
% 0.63/1.07 file('/tmp/WALDMEISTER_16676_n025')).
% 0.63/1.07 cnf('0.5.1.0',plain,
% 0.63/1.07 ( X1 = rd(mult(X1,X2),X2) ),
% 0.63/1.07 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.63/1.07 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.63/1.07 cnf('0.5.2.0',plain,
% 0.63/1.07 ( rd(mult(X1,X2),X2) = X1 ),
% 0.63/1.07 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.63/1.07 [x,rule_5]).
% 0.63/1.07 cnf('0.6.0.0',axiom,
% 0.63/1.07 ( X1 = ld(X2,mult(X2,X1)) ),
% 0.63/1.07 file('/tmp/WALDMEISTER_16676_n025')).
% 0.63/1.07 cnf('0.6.1.0',plain,
% 0.63/1.07 ( X1 = ld(X2,mult(X2,X1)) ),
% 0.63/1.07 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.63/1.07 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.63/1.07 cnf('0.6.2.0',plain,
% 0.63/1.07 ( ld(X1,mult(X1,X2)) = X2 ),
% 0.63/1.07 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.63/1.07 [x,rule_6]).
% 0.63/1.07 cnf('0.8.0.0',axiom,
% 0.63/1.07 ( mult(mult(X1,X2),mult(X2,mult(X3,X2))) = mult(mult(X1,mult(X2,mult(X2,X3))),X2) ),
% 0.63/1.07 file('/tmp/WALDMEISTER_16676_n025')).
% 0.63/1.07 cnf('0.8.1.0',plain,
% 0.63/1.07 ( mult(mult(X1,X2),mult(X2,mult(X3,X2))) = mult(mult(X1,mult(X2,mult(X2,X3))),X2) ),
% 0.63/1.07 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.63/1.07 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.63/1.07 cnf('0.8.2.0',plain,
% 0.63/1.07 ( mult(mult(X1,mult(X2,mult(X2,X3))),X2) = mult(mult(X1,X2),mult(X2,mult(X3,X2))) ),
% 0.63/1.07 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.63/1.07 [x,rule_8]).
% 0.63/1.07 cnf('0.21.0.0',plain,
% 0.63/1.07 ( mult(mult(unit,X1),mult(X1,mult(X2,X1))) = mult(mult(X1,mult(X1,X2)),X1) ),
% 0.63/1.07 inference(cp,[status(thm)],['0.8.2.0','0.3.2.0',theory(equality)]),
% 0.63/1.07 [pos('L.1','L')]).
% 0.63/1.07 cnf('0.21.0.1',plain,
% 0.63/1.07 ( mult(X1,mult(X1,mult(X2,X1))) = mult(mult(X1,mult(X1,X2)),X1) ),
% 0.63/1.07 inference(reduction,[status(thm)],['0.21.0.0','0.3.2.0',theory(equality)]),
% 0.63/1.07 [pos('L.1','L')]).
% 0.63/1.07 cnf('0.21.1.0',plain,
% 0.63/1.07 ( mult(X1,mult(X1,mult(X2,X1))) = mult(mult(X1,mult(X1,X2)),X1) ),
% 0.63/1.07 inference(weigh,[status(thm)],['0.21.0.1']),
% 0.63/1.07 [weight('<119,8,3,[1,0,0,1]>')]).
% 0.63/1.07 cnf('0.21.2.0',plain,
% 0.63/1.07 ( mult(mult(X1,mult(X1,X2)),X1) = mult(X1,mult(X1,mult(X2,X1))) ),
% 0.63/1.07 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.63/1.07 [x,rule_21]).
% 0.63/1.07 cnf('0.34.0.0',plain,
% 0.63/1.07 ( mult(X1,mult(X1,X2)) = rd(mult(X1,mult(X1,mult(X2,X1))),X1) ),
% 0.63/1.07 inference(cp,[status(thm)],['0.5.2.0','0.21.2.0',theory(equality)]),
% 0.63/1.07 [pos('L.1','L')]).
% 0.63/1.07 cnf('0.34.1.0',plain,
% 0.63/1.07 ( mult(X1,mult(X1,X2)) = rd(mult(X1,mult(X1,mult(X2,X1))),X1) ),
% 0.63/1.07 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.63/1.07 [weight('<149,21,5,[0,0,0,1]>')]).
% 0.63/1.07 cnf('0.34.2.0',plain,
% 0.63/1.07 ( rd(mult(X1,mult(X1,mult(X2,X1))),X1) = mult(X1,mult(X1,X2)) ),
% 0.63/1.07 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.63/1.07 [x,rule_34]).
% 0.63/1.07 cnf('0.35.0.0',plain,
% 0.63/1.07 ( mult(X1,mult(X1,rd(X2,X1))) = rd(mult(X1,mult(X1,X2)),X1) ),
% 0.63/1.07 inference(cp,[status(thm)],['0.34.2.0','0.4.2.0',theory(equality)]),
% 0.63/1.07 [pos('L.1.2.2','L')]).
% 0.63/1.07 cnf('0.35.1.0',plain,
% 0.63/1.07 ( mult(X1,mult(X1,rd(X2,X1))) = rd(mult(X1,mult(X1,X2)),X1) ),
% 0.63/1.07 inference(weigh,[status(thm)],['0.35.0.0']),
% 0.63/1.07 [weight('<119,34,4,[1,0,0,5]>')]).
% 0.63/1.07 cnf('0.35.2.0',plain,
% 0.63/1.07 ( mult(X1,mult(X1,rd(X2,X1))) = rd(mult(X1,mult(X1,X2)),X1) ),
% 0.63/1.07 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.63/1.07 [u,rule_35]).
% 0.63/1.07 cnf('0.70.0.0',plain,
% 0.63/1.07 ( mult(X1,rd(X2,X1)) = ld(X1,rd(mult(X1,mult(X1,X2)),X1)) ),
% 0.63/1.07 inference(cp,[status(thm)],['0.6.2.0','0.35.2.0',theory(equality)]),
% 0.63/1.07 [pos('L.2','L')]).
% 0.63/1.07 cnf('0.70.1.0',plain,
% 0.63/1.07 ( mult(X1,rd(X2,X1)) = ld(X1,rd(mult(X1,mult(X1,X2)),X1)) ),
% 0.63/1.07 inference(weigh,[status(thm)],['0.70.0.0']),
% 0.63/1.07 [weight('<149,35,6,[0,0,0,2]>')]).
% 0.63/1.07 cnf('0.70.2.0',plain,
% 0.63/1.07 ( ld(X1,rd(mult(X1,mult(X1,X2)),X1)) = mult(X1,rd(X2,X1)) ),
% 0.63/1.07 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 0.63/1.07 [x,rule_70]).
% 0.63/1.07 cnf('0.71.0.0',plain,
% 0.63/1.07 ( mult(X1,rd(ld(X1,X2),X1)) = ld(X1,rd(mult(X1,X2),X1)) ),
% 0.63/1.07 inference(cp,[status(thm)],['0.70.2.0','0.1.2.0',theory(equality)]),
% 0.63/1.07 [pos('L.2.1.2','L')]).
% 0.63/1.07 cnf('0.71.1.0',plain,
% 0.63/1.07 ( mult(X1,rd(ld(X1,X2),X1)) = ld(X1,rd(mult(X1,X2),X1)) ),
% 0.63/1.07 inference(weigh,[status(thm)],['0.71.0.0']),
% 0.63/1.07 [weight('<119,70,1,[1,0,0,5]>')]).
% 0.63/1.07 cnf('0.71.2.0',plain,
% 0.63/1.07 ( mult(X1,rd(ld(X1,X2),X1)) = ld(X1,rd(mult(X1,X2),X1)) ),
% 0.63/1.07 inference(orient,[status(thm)],['0.71.1.0',theory(equality)]),
% 0.63/1.07 [u,rule_71]).
% 0.63/1.07 cnf('0.88.0.0',plain,
% 0.63/1.07 ( mult(mult(X1,X2),mult(X2,mult(rd(ld(X2,X3),X2),X2))) = mult(mult(X1,mult(X2,ld(X2,rd(mult(X2,X3),X2)))),X2) ),
% 0.63/1.07 inference(cp,[status(thm)],['0.8.2.0','0.71.2.0',theory(equality)]),
% 0.63/1.07 [pos('L.1.2.2','L')]).
% 0.63/1.07 cnf('0.88.0.1',plain,
% 0.63/1.07 ( mult(mult(X1,X2),mult(X2,ld(X2,X3))) = mult(mult(X1,mult(X2,ld(X2,rd(mult(X2,X3),X2)))),X2) ),
% 0.63/1.07 inference(reduction,[status(thm)],['0.88.0.0','0.4.2.0',theory(equality)]),
% 0.63/1.07 [pos('L.2.2','L')]).
% 0.63/1.07 cnf('0.88.0.2',plain,
% 0.63/1.07 ( mult(mult(X1,X2),X3) = mult(mult(X1,mult(X2,ld(X2,rd(mult(X2,X3),X2)))),X2) ),
% 0.63/1.07 inference(reduction,[status(thm)],['0.88.0.1','0.1.2.0',theory(equality)]),
% 0.63/1.07 [pos('L.2','L')]).
% 0.63/1.07 cnf('0.88.0.3',plain,
% 0.63/1.07 ( mult(mult(X1,X2),X3) = mult(mult(X1,rd(mult(X2,X3),X2)),X2) ),
% 0.63/1.07 inference(reduction,[status(thm)],['0.88.0.2','0.1.2.0',theory(equality)]),
% 0.63/1.07 [pos('R.1.2','L')]).
% 0.63/1.07 cnf('0.88.1.0',plain,
% 0.63/1.07 ( mult(mult(X1,X2),X3) = mult(mult(X1,rd(mult(X2,X3),X2)),X2) ),
% 0.63/1.07 inference(weigh,[status(thm)],['0.88.0.3']),
% 0.63/1.07 [weight('<149,71,8,[0,0,0,5]>')]).
% 0.63/1.07 cnf('0.88.2.0',plain,
% 0.63/1.07 ( mult(mult(X1,rd(mult(X2,X3),X2)),X2) = mult(mult(X1,X2),X3) ),
% 0.63/1.07 inference(orient,[status(thm)],['0.88.1.0',theory(equality)]),
% 0.63/1.07 [x,rule_88]).
% 0.63/1.07 cnf('0.89.0.0',plain,
% 0.63/1.07 ( mult(mult(X1,X2),ld(X2,X3)) = mult(mult(X1,rd(X3,X2)),X2) ),
% 0.63/1.07 inference(cp,[status(thm)],['0.88.2.0','0.1.2.0',theory(equality)]),
% 0.63/1.07 [pos('L.1.2.1','L')]).
% 0.63/1.07 cnf('0.89.1.0',plain,
% 0.63/1.07 ( mult(mult(X1,X2),ld(X2,X3)) = mult(mult(X1,rd(X3,X2)),X2) ),
% 0.63/1.07 inference(weigh,[status(thm)],['0.89.0.0']),
% 0.63/1.07 [weight('<119,88,1,[1,0,0,4]>')]).
% 0.63/1.07 cnf('0.89.2.0',plain,
% 0.63/1.07 ( mult(mult(X1,rd(X2,X3)),X3) = mult(mult(X1,X3),ld(X3,X2)) ),
% 0.63/1.07 inference(orient,[status(thm)],['0.89.1.0',theory(equality)]),
% 0.63/1.07 [x,rule_89]).
% 0.63/1.07 cnf('0.185.0.0',plain,
% 0.63/1.07 ( mult(mult(X1,X2),ld(X2,mult(X3,X2))) = mult(mult(X1,X3),X2) ),
% 0.63/1.07 inference(cp,[status(thm)],['0.89.2.0','0.5.2.0',theory(equality)]),
% 0.63/1.07 [pos('L.1.2','L')]).
% 0.63/1.07 cnf('0.185.1.0',plain,
% 0.63/1.07 ( mult(mult(X1,X2),ld(X2,mult(X3,X2))) = mult(mult(X1,X3),X2) ),
% 0.63/1.07 inference(weigh,[status(thm)],['0.185.0.0']),
% 0.63/1.07 [weight('<149,89,5,[1,0,0,3]>')]).
% 0.63/1.07 cnf('0.185.2.0',plain,
% 0.63/1.07 ( mult(mult(X1,X2),ld(X2,mult(X3,X2))) = mult(mult(X1,X3),X2) ),
% 0.63/1.07 inference(orient,[status(thm)],['0.185.1.0',theory(equality)]),
% 0.63/1.07 [u,rule_185]).
% 0.63/1.07 cnf('1.0.0.0',conjecture,
% 0.63/1.07 ( mult(mult(a,b),c) = mult(mult(a,c),ld(c,mult(b,c))) ),
% 0.63/1.07 file('/tmp/WALDMEISTER_16676_n025',conjecture_1)).
% 0.63/1.07 cnf('1.0.0.1',plain,
% 0.63/1.07 ( mult(mult(a,b),c) = mult(mult(a,b),c) ),
% 0.63/1.07 inference(reduction,[status(thm)],['1.0.0.0','0.185.2.0',theory(equality)]),
% 0.63/1.07 [pos('R','L')]).
% 0.63/1.07 cnf('1.0.0.2',plain,
% 0.63/1.07 ( $true ),
% 0.63/1.07 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.63/1.07 [conjecture_1]).
% 0.63/1.07
% 0.63/1.07 Proved Goals:
% 0.63/1.07 No. 1: mult(mult(a,b),c) ?= mult(mult(a,c),ld(c,mult(b,c))) joined, current: mult(mult(a,b),c) = mult(mult(a,b),c)
% 0.63/1.07 1 goal was specified, which was proved.
% 0.63/1.07 % SZS output end CNFRefutation
% 0.63/1.07 #END OF PROOF
% 0.63/1.07
% 0.63/1.07 Problem WALDMEISTER_16676_n025
% 0.63/1.07 CPs.gen 9207
% 0.63/1.07 CPs.reexp 0
% 0.63/1.07 Select 320
% 0.63/1.07 R 185
% 0.63/1.07 E 0
% 0.63/1.07 vsize 6.5M
% 0.63/1.07 rss 3.8M
% 0.63/1.07 process.time 0.061s
% 0.63/1.07 wallclock.time 0.061s
% 0.63/1.07 status S
% 0.63/1.07
% 0.63/1.07
% 0.63/1.07 Waldmeister states: Goal proved.
% 0.63/1.07 % SZS status Unsatisfiable
%------------------------------------------------------------------------------