TSTP Solution File: GRP519-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP519-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n022.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 12:26:46 EDT 2022
% Result : Unsatisfiable 0.64s 1.03s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP519-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 05:52:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.64/1.03 ********************************************************************************
% 0.64/1.03 * W A L D M E I S T E R \| \ / \|/ *
% 0.64/1.03 * |/ | \/ | *
% 0.64/1.03 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.64/1.03 * A. Jaeger and B. Loechner | | *
% 0.64/1.03 * <waldmeister@informatik.uni-kl.de> | *
% 0.64/1.03 ********************************************************************************
% 0.64/1.03
% 0.64/1.03
% 0.64/1.03 Goals:
% 0.64/1.03 ------
% 0.64/1.03
% 0.64/1.03 ( 1) multiply(multiply(a3,b3),c3) ?=? multiply(a3,multiply(b3,c3))
% 0.64/1.03
% 0.64/1.03 Detected structure: Orkus
% 0.64/1.03 ********************************************************************************
% 0.64/1.03 ****************************** COMPLETION - PROOF ******************************
% 0.64/1.03 ********************************************************************************
% 0.64/1.03
% 0.64/1.03 joined goal: 1 multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) to multiply(a3,multiply(b3,c3))
% 0.64/1.03 goal joined
% 0.64/1.03 % SZS status Unsatisfiable
% 0.64/1.03 #START OF PROOF
% 0.64/1.03 % SZS output start CNFRefutation
% 0.64/1.03 cnf('0.1.0.0',axiom,
% 0.64/1.03 ( X1 = multiply(X2,multiply(multiply(inverse(multiply(X2,X3)),X1),X3)) ),
% 0.64/1.03 file('/tmp/WALDMEISTER_32712_n022')).
% 0.64/1.03 cnf('0.1.1.0',plain,
% 0.64/1.03 ( X1 = multiply(X2,multiply(multiply(inverse(multiply(X2,X3)),X1),X3)) ),
% 0.64/1.03 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.64/1.03 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.64/1.03 cnf('0.1.2.0',plain,
% 0.64/1.03 ( multiply(X1,multiply(multiply(inverse(multiply(X1,X2)),X3),X2)) = X3 ),
% 0.64/1.03 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.64/1.03 [x,rule_1]).
% 0.64/1.03 cnf('0.2.0.0',plain,
% 0.64/1.03 ( multiply(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X4),X3) = multiply(X1,multiply(X4,X2)) ),
% 0.64/1.03 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.64/1.03 [pos('L.2.1','L')]).
% 0.64/1.03 cnf('0.2.1.0',plain,
% 0.64/1.03 ( multiply(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X4),X3) = multiply(X1,multiply(X4,X2)) ),
% 0.64/1.03 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.64/1.03 [weight('<?,1,1,[0,0,0,3]>')]).
% 0.64/1.03 cnf('0.2.2.0',plain,
% 0.64/1.03 ( multiply(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X4),X3) = multiply(X1,multiply(X4,X2)) ),
% 0.64/1.03 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.64/1.03 [u,rule_2]).
% 0.64/1.03 cnf('0.3.0.0',plain,
% 0.64/1.03 ( X1 = multiply(inverse(multiply(X2,X3)),multiply(X2,multiply(X1,X3))) ),
% 0.64/1.03 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 0.64/1.03 [pos('L.2','L')]).
% 0.64/1.03 cnf('0.3.1.0',plain,
% 0.64/1.03 ( X1 = multiply(inverse(multiply(X2,X3)),multiply(X2,multiply(X1,X3))) ),
% 0.64/1.03 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.64/1.03 [weight('<131,2,1,[0,0,0,2]>')]).
% 0.64/1.03 cnf('0.3.2.0',plain,
% 0.64/1.03 ( multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X3,X2))) = X3 ),
% 0.64/1.03 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.64/1.03 [x,rule_3]).
% 0.64/1.03 cnf('0.5.0.0',plain,
% 0.64/1.03 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(inverse(X4),X2),multiply(multiply(inverse(multiply(inverse(multiply(X1,X3)),X5)),X4),X5)) ),
% 0.64/1.03 inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 0.64/1.03 [pos('L.1.1.1','L')]).
% 0.64/1.03 cnf('0.5.0.1',plain,
% 0.64/1.03 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(inverse(X4),X2),multiply(X1,multiply(X4,X3))) ),
% 0.64/1.03 inference(reduction,[status(thm)],['0.5.0.0','0.2.2.0',theory(equality)]),
% 0.64/1.03 [pos('R.2','L')]).
% 0.64/1.03 cnf('0.5.1.0',plain,
% 0.64/1.03 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(inverse(X4),X2),multiply(X1,multiply(X4,X3))) ),
% 0.64/1.03 inference(weigh,[status(thm)],['0.5.0.1']),
% 0.64/1.03 [weight('<175,2,1,[1,0,0,3]>')]).
% 0.64/1.03 cnf('0.5.2.0',plain,
% 0.64/1.03 ( multiply(multiply(inverse(X1),X2),multiply(X3,multiply(X1,X4))) = multiply(X3,multiply(X2,X4)) ),
% 0.64/1.03 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.64/1.03 [x,rule_5]).
% 0.64/1.03 cnf('0.6.0.0',plain,
% 0.64/1.03 ( multiply(multiply(inverse(X1),X2),multiply(X3,multiply(X1,X4))) = multiply(multiply(inverse(X5),X3),multiply(X5,multiply(X2,X4))) ),
% 0.64/1.03 inference(cp,[status(thm)],['0.5.2.0','0.5.2.0',theory(equality)]),
% 0.64/1.03 [pos('L.2','L')]).
% 0.64/1.03 cnf('0.6.0.1',plain,
% 0.64/1.03 ( multiply(X3,multiply(X2,X4)) = multiply(multiply(inverse(X5),X3),multiply(X5,multiply(X2,X4))) ),
% 0.64/1.03 inference(reduction,[status(thm)],['0.6.0.0','0.5.2.0',theory(equality)]),
% 0.64/1.03 [pos('L','L')]).
% 0.64/1.03 cnf('0.6.1.0',plain,
% 0.64/1.03 ( multiply(X3,multiply(X2,X4)) = multiply(multiply(inverse(X5),X3),multiply(X5,multiply(X2,X4))) ),
% 0.64/1.03 inference(weigh,[status(thm)],['0.6.0.1']),
% 0.64/1.03 [weight('<175,5,5,[0,0,0,5]>')]).
% 0.64/1.03 cnf('0.6.2.0',plain,
% 0.64/1.03 ( multiply(multiply(inverse(X1),X2),multiply(X1,multiply(X3,X4))) = multiply(X2,multiply(X3,X4)) ),
% 0.64/1.03 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.64/1.03 [x,rule_6]).
% 0.64/1.03 cnf('0.7.0.0',plain,
% 0.64/1.03 ( multiply(X1,multiply(X2,multiply(multiply(inverse(multiply(X2,X3)),X4),X3))) = multiply(multiply(inverse(X5),X1),multiply(X5,X4)) ),
% 0.64/1.03 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 0.64/1.03 [pos('L.2.2','L')]).
% 0.64/1.03 cnf('0.7.0.1',plain,
% 0.64/1.03 ( multiply(X1,X4) = multiply(multiply(inverse(X5),X1),multiply(X5,X4)) ),
% 0.64/1.03 inference(reduction,[status(thm)],['0.7.0.0','0.1.2.0',theory(equality)]),
% 0.64/1.03 [pos('L.2','L')]).
% 0.64/1.03 cnf('0.7.1.0',plain,
% 0.64/1.03 ( multiply(X1,X4) = multiply(multiply(inverse(X5),X1),multiply(X5,X4)) ),
% 0.64/1.03 inference(weigh,[status(thm)],['0.7.0.1']),
% 0.64/1.03 [weight('<107,6,1,[1,0,0,7]>')]).
% 0.64/1.03 cnf('0.7.2.0',plain,
% 0.64/1.03 ( multiply(multiply(inverse(X1),X2),multiply(X1,X3)) = multiply(X2,X3) ),
% 0.64/1.03 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.64/1.03 [x,rule_7]).
% 0.64/1.03 cnf('0.8.0.0',plain,
% 0.64/1.03 ( multiply(multiply(X1,multiply(X2,X3)),X4) = multiply(X2,multiply(multiply(X1,X3),X4)) ),
% 0.64/1.03 inference(cp,[status(thm)],['0.7.2.0','0.3.2.0',theory(equality)]),
% 0.64/1.03 [pos('L.1','L')]).
% 0.64/1.03 cnf('0.8.1.0',plain,
% 0.64/1.03 ( multiply(multiply(X1,multiply(X2,X3)),X4) = multiply(X2,multiply(multiply(X1,X3),X4)) ),
% 0.64/1.03 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.64/1.03 [weight('<119,7,3,[1,0,0,1]>')]).
% 0.64/1.03 cnf('0.8.2.0',plain,
% 0.64/1.03 ( multiply(multiply(X1,multiply(X2,X3)),X4) = multiply(X2,multiply(multiply(X1,X3),X4)) ),
% 0.64/1.03 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.64/1.03 [u,rule_8]).
% 0.64/1.03 cnf('0.9.0.0',plain,
% 0.64/1.03 ( multiply(X1,multiply(multiply(inverse(X2),X3),multiply(X2,X4))) = multiply(multiply(X1,X3),X4) ),
% 0.64/1.03 inference(cp,[status(thm)],['0.8.2.0','0.7.2.0',theory(equality)]),
% 0.64/1.03 [pos('L','L')]).
% 0.64/1.03 cnf('0.9.0.1',plain,
% 0.64/1.03 ( multiply(X1,multiply(X3,X4)) = multiply(multiply(X1,X3),X4) ),
% 0.64/1.03 inference(reduction,[status(thm)],['0.9.0.0','0.7.2.0',theory(equality)]),
% 0.64/1.03 [pos('L.2','L')]).
% 0.64/1.03 cnf('0.9.1.0',plain,
% 0.64/1.03 ( multiply(X1,multiply(X3,X4)) = multiply(multiply(X1,X3),X4) ),
% 0.64/1.03 inference(weigh,[status(thm)],['0.9.0.1']),
% 0.64/1.03 [weight('<65,8,7,[1,0,0,0]>')]).
% 0.64/1.03 cnf('0.9.2.0',plain,
% 0.64/1.03 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.64/1.03 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.64/1.03 [x,rule_9]).
% 0.64/1.03 cnf('1.0.0.0',conjecture,
% 0.64/1.03 ( multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.64/1.03 file('/tmp/WALDMEISTER_32712_n022',conjecture_1)).
% 0.64/1.03 cnf('1.0.0.1',plain,
% 0.64/1.03 ( multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)) ),
% 0.64/1.03 inference(reduction,[status(thm)],['1.0.0.0','0.9.2.0',theory(equality)]),
% 0.64/1.03 [pos('L','L')]).
% 0.64/1.03 cnf('1.0.0.2',plain,
% 0.64/1.03 ( $true ),
% 0.64/1.03 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.64/1.03 [conjecture_1]).
% 0.64/1.03
% 0.64/1.03 Proved Goals:
% 0.64/1.03 No. 1: multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) joined, current: multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3))
% 0.64/1.03 1 goal was specified, which was proved.
% 0.64/1.03 % SZS output end CNFRefutation
% 0.64/1.03 #END OF PROOF
% 0.64/1.03
% 0.64/1.03 Problem WALDMEISTER_32712_n022
% 0.64/1.03 CPs.gen 133
% 0.64/1.03 CPs.reexp 0
% 0.64/1.03 Select 10
% 0.64/1.03 R 9
% 0.64/1.03 E 0
% 0.64/1.03 vsize 6.4M
% 0.64/1.03 rss 3.8M
% 0.64/1.03 process.time 0.002s
% 0.64/1.03 wallclock.time 0.002s
% 0.64/1.03 status S
% 0.64/1.03
% 0.64/1.03
% 0.64/1.03 Waldmeister states: Goal proved.
% 0.64/1.03 % SZS status Unsatisfiable
%------------------------------------------------------------------------------