TSTP Solution File: GRP421-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP421-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n024.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 12:26:12 EDT 2022
% Result : Unsatisfiable 0.59s 1.01s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP421-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13 % Command : woody %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 14 09:42:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.59/1.00 ********************************************************************************
% 0.59/1.00 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/1.00 * |/ | \/ | *
% 0.59/1.00 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/1.00 * A. Jaeger and B. Loechner | | *
% 0.59/1.00 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/1.00 ********************************************************************************
% 0.59/1.00
% 0.59/1.00
% 0.59/1.00 Goals:
% 0.59/1.00 ------
% 0.59/1.00
% 0.59/1.00 ( 1) multiply(inverse(a1),a1) ?=? multiply(inverse(b1),b1)
% 0.59/1.00
% 0.59/1.00 Detected structure: Orkus
% 0.59/1.00 ********************************************************************************
% 0.59/1.00 ****************************** COMPLETION - PROOF ******************************
% 0.59/1.00 ********************************************************************************
% 0.59/1.00
% 0.59/1.01 joined goal: 1 multiply(inverse(a1),a1) ?= multiply(inverse(b1),b1) to multiply(inverse(multiply(b1,multiply(b1,b1))),multiply(b1,multiply(b1,b1)))
% 0.59/1.01 goal joined
% 0.59/1.01 % SZS status Unsatisfiable
% 0.59/1.01 #START OF PROOF
% 0.59/1.01 % SZS output start CNFRefutation
% 0.59/1.01 cnf('0.1.0.0',axiom,
% 0.59/1.01 ( X1 = inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X2,X3))) ),
% 0.59/1.01 file('/tmp/WALDMEISTER_7674_n024')).
% 0.59/1.01 cnf('0.1.1.0',plain,
% 0.59/1.01 ( X1 = inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X2,X3))) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.59/1.01 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.59/1.01 cnf('0.1.2.0',plain,
% 0.59/1.01 ( inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X1,X3))) = X2 ),
% 0.59/1.01 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.59/1.01 [x,rule_1]).
% 0.59/1.01 cnf('0.2.0.0',plain,
% 0.59/1.01 ( multiply(inverse(X1),inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))) = inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X1))) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.59/1.01 [pos('L.1.1.1.2','L')]).
% 0.59/1.01 cnf('0.2.1.0',plain,
% 0.59/1.01 ( multiply(inverse(X1),inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))) = inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X1))) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.59/1.01 [weight('<?,1,1,[0,0,0,5]>')]).
% 0.59/1.01 cnf('0.2.2.0',plain,
% 0.59/1.01 ( multiply(inverse(X1),inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))) = inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X1))) ),
% 0.59/1.01 inference(activate,[status(thm)],['0.2.1.0']),
% 0.59/1.01 [equation_1]).
% 0.59/1.01 cnf('0.2.2.1',plain,
% 0.59/1.01 ( multiply(inverse(X1),inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))) = inverse(multiply(inverse(multiply(b1,X2)),multiply(b1,X1))) ),
% 0.59/1.01 inference(instr,[status(thm)],['0.2.2.0',theory(equality)])).
% 0.59/1.01 cnf('0.3.0.0',plain,
% 0.59/1.01 ( inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))) = inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,X3))) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.2.2.0','0.2.2.0',theory(equality)]),
% 0.59/1.01 [pos('L','L')]).
% 0.59/1.01 cnf('0.3.1.0',plain,
% 0.59/1.01 ( inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))) = inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,X3))) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.59/1.01 [weight('<360,2,2,[1,0,0,0]>')]).
% 0.59/1.01 cnf('0.3.2.0',plain,
% 0.59/1.01 ( inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))) = inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,X3))) ),
% 0.59/1.01 inference(activate,[status(thm)],['0.3.1.0']),
% 0.59/1.01 [equation_2]).
% 0.59/1.01 cnf('0.3.2.1',plain,
% 0.59/1.01 ( inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))) = inverse(multiply(inverse(multiply(b1,X2)),multiply(b1,X3))) ),
% 0.59/1.01 inference(instr,[status(thm)],['0.3.2.0',theory(equality)])).
% 0.59/1.01 cnf('0.3.2.2',plain,
% 0.59/1.01 ( inverse(multiply(inverse(multiply(b1,X2)),multiply(b1,X3))) = inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))) ),
% 0.59/1.01 inference(instl,[status(thm)],['0.3.2.0',theory(equality)])).
% 0.59/1.01 cnf('0.4.0.0',plain,
% 0.59/1.01 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X5,X2)),multiply(X5,X3))),multiply(inverse(X6),inverse(multiply(inverse(X6),X6))))))),multiply(X4,X6))) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.1.2.0','0.3.2.0',theory(equality)]),
% 0.59/1.01 [pos('L.1.1.1.2.1.1','L')]).
% 0.59/1.01 cnf('0.4.0.1',plain,
% 0.59/1.01 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(X5,X2)),multiply(X5,X3)) ),
% 0.59/1.01 inference(reduction,[status(thm)],['0.4.0.0','0.1.2.0',theory(equality)]),
% 0.59/1.01 [pos('R','L')]).
% 0.59/1.01 cnf('0.4.1.0',plain,
% 0.59/1.01 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(X5,X2)),multiply(X5,X3)) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.4.0.1']),
% 0.59/1.01 [weight('<288,3,1,[0,0,0,7]>')]).
% 0.59/1.01 cnf('0.4.2.0',plain,
% 0.59/1.01 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)) ),
% 0.59/1.01 inference(activate,[status(thm)],['0.4.1.0']),
% 0.59/1.01 [equation_3]).
% 0.59/1.01 cnf('0.4.2.1',plain,
% 0.59/1.01 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(b1,X2)),multiply(b1,X3)) ),
% 0.59/1.01 inference(instr,[status(thm)],['0.4.2.0',theory(equality)])).
% 0.59/1.01 cnf('0.4.2.2',plain,
% 0.59/1.01 ( multiply(inverse(multiply(b1,X2)),multiply(b1,X3)) = multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) ),
% 0.59/1.01 inference(instl,[status(thm)],['0.4.2.0',theory(equality)])).
% 0.59/1.01 cnf('0.6.0.0',plain,
% 0.59/1.01 ( multiply(inverse(X1),X2) = inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,inverse(multiply(inverse(X1),X1))))))),multiply(X3,X1))) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.1.2.0','0.4.2.0',theory(equality)]),
% 0.59/1.01 [pos('L.1.1.1.2.1','L')]).
% 0.59/1.01 cnf('0.6.1.0',plain,
% 0.59/1.01 ( multiply(inverse(X1),X2) = inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,inverse(multiply(inverse(X1),X1))))))),multiply(X3,X1))) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.59/1.01 [weight('<571,4,1,[0,0,0,6]>')]).
% 0.59/1.01 cnf('0.6.2.0',plain,
% 0.59/1.01 ( inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(inverse(X4),X4))))))),multiply(X1,X4))) = multiply(inverse(X4),X3) ),
% 0.59/1.01 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.59/1.01 [x,rule_3]).
% 0.59/1.01 cnf('0.12.0.0',plain,
% 0.59/1.01 ( multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,X4)) = multiply(X5,multiply(inverse(multiply(X2,inverse(multiply(inverse(X5),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),X4)) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 0.59/1.01 [pos('L.1','L')]).
% 0.59/1.01 cnf('0.12.1.0',plain,
% 0.59/1.01 ( multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,X4)) = multiply(X5,multiply(inverse(multiply(X2,inverse(multiply(inverse(X5),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),X4)) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.59/1.01 [weight('<899,4,1,[1,0,0,1]>')]).
% 0.59/1.01 cnf('0.12.2.0',plain,
% 0.59/1.01 ( multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,X4)) = multiply(X5,multiply(inverse(multiply(X2,inverse(multiply(inverse(X5),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),X4)) ),
% 0.59/1.01 inference(activate,[status(thm)],['0.12.1.0']),
% 0.59/1.01 [equation_7]).
% 0.59/1.01 cnf('0.12.2.1',plain,
% 0.59/1.01 ( multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,X4)) = multiply(b1,multiply(inverse(multiply(X2,inverse(multiply(inverse(b1),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),X4)) ),
% 0.59/1.01 inference(instr,[status(thm)],['0.12.2.0',theory(equality)])).
% 0.59/1.01 cnf('0.12.2.2',plain,
% 0.59/1.01 ( multiply(inverse(multiply(b1,multiply(X2,X3))),multiply(b1,X4)) = multiply(X1,multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),X4)) ),
% 0.59/1.01 inference(instl,[status(thm)],['0.12.2.0',theory(equality)])).
% 0.59/1.01 cnf('0.13.0.0',plain,
% 0.59/1.01 ( X1 = inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(X3,multiply(X4,X5))),multiply(X3,inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(inverse(X1)),multiply(inverse(X5),inverse(multiply(inverse(X5),X5))))))),multiply(X4,inverse(multiply(inverse(inverse(X1)),multiply(inverse(X5),inverse(multiply(inverse(X5),X5))))))))))))),multiply(X2,multiply(X4,inverse(multiply(inverse(inverse(X1)),multiply(inverse(X5),inverse(multiply(inverse(X5),X5))))))))) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.1.2.0','0.12.2.0',theory(equality)]),
% 0.59/1.01 [pos('L.1.1.1.2.1','R')]).
% 0.59/1.01 cnf('0.13.0.1',plain,
% 0.59/1.01 ( X1 = multiply(inverse(multiply(X4,inverse(multiply(inverse(inverse(X1)),multiply(inverse(X5),inverse(multiply(inverse(X5),X5))))))),multiply(X4,X5)) ),
% 0.59/1.01 inference(reduction,[status(thm)],['0.13.0.0','0.6.2.0',theory(equality)]),
% 0.59/1.01 [pos('R','L')]).
% 0.59/1.01 cnf('0.13.1.0',plain,
% 0.59/1.01 ( X1 = multiply(inverse(multiply(X4,inverse(multiply(inverse(inverse(X1)),multiply(inverse(X5),inverse(multiply(inverse(X5),X5))))))),multiply(X4,X5)) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.13.0.1']),
% 0.59/1.01 [weight('<461,12,1,[0,1,0,6]>')]).
% 0.59/1.01 cnf('0.13.2.0',plain,
% 0.59/1.01 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X1,X3)) = X2 ),
% 0.59/1.01 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.59/1.01 [x,rule_6]).
% 0.59/1.01 cnf('0.14.0.0',plain,
% 0.59/1.01 ( multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,X3))) = multiply(inverse(X4),X4) ),
% 0.59/1.01 inference(cp,[status(thm)],['0.12.2.0','0.13.2.0',theory(equality)]),
% 0.59/1.01 [pos('R.2','L')]).
% 0.59/1.01 cnf('0.14.1.0',plain,
% 0.59/1.01 ( multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,X3))) = multiply(inverse(X4),X4) ),
% 0.59/1.01 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.59/1.01 [weight('<288,13,12,[0,0,1,2]>')]).
% 0.59/1.01 cnf('0.14.2.0',plain,
% 0.59/1.01 ( multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,X3))) = multiply(inverse(X4),X4) ),
% 0.59/1.01 inference(activate,[status(thm)],['0.14.1.0']),
% 0.59/1.01 [equation_8]).
% 0.59/1.01 cnf('0.14.2.1',plain,
% 0.59/1.01 ( multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,X3))) = multiply(inverse(b1),b1) ),
% 0.59/1.01 inference(instr,[status(thm)],['0.14.2.0',theory(equality)])).
% 0.59/1.01 cnf('0.14.2.2',plain,
% 0.59/1.01 ( multiply(inverse(multiply(b1,multiply(b1,b1))),multiply(b1,multiply(b1,b1))) = multiply(inverse(X1),X1) ),
% 0.59/1.01 inference(instl,[status(thm)],['0.14.2.0',theory(equality)])).
% 0.59/1.01 cnf('1.0.0.0',conjecture,
% 0.59/1.01 ( multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
% 0.59/1.01 file('/tmp/WALDMEISTER_7674_n024',conjecture_1)).
% 0.59/1.01 cnf('1.0.0.1',plain,
% 0.59/1.01 ( multiply(inverse(multiply(b1,multiply(b1,b1))),multiply(b1,multiply(b1,b1))) = multiply(inverse(b1),b1) ),
% 0.59/1.01 inference(reduction,[status(thm)],['1.0.0.0','0.14.2.2',theory(equality)]),
% 0.59/1.01 [pos('L','R')]).
% 0.59/1.01 cnf('1.0.0.2',plain,
% 0.59/1.01 ( multiply(inverse(multiply(b1,multiply(b1,b1))),multiply(b1,multiply(b1,b1))) = multiply(inverse(multiply(b1,multiply(b1,b1))),multiply(b1,multiply(b1,b1))) ),
% 0.59/1.01 inference(reduction,[status(thm)],['1.0.0.1','0.14.2.2',theory(equality)]),
% 0.59/1.01 [pos('R','R')]).
% 0.59/1.01 cnf('1.0.0.3',plain,
% 0.59/1.01 ( $true ),
% 0.59/1.01 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.59/1.01 [conjecture_1]).
% 0.59/1.01
% 0.59/1.01 Proved Goals:
% 0.59/1.01 No. 1: multiply(inverse(a1),a1) ?= multiply(inverse(b1),b1) joined, current: multiply(inverse(multiply(b1,multiply(b1,b1))),multiply(b1,multiply(b1,b1))) = multiply(inverse(multiply(b1,multiply(b1,b1))),multiply(b1,multiply(b1,b1)))
% 0.59/1.01 1 goal was specified, which was proved.
% 0.59/1.01 % SZS output end CNFRefutation
% 0.59/1.01 #END OF PROOF
% 0.59/1.01
% 0.59/1.01 Problem WALDMEISTER_7674_n024
% 0.59/1.01 CPs.gen 892
% 0.59/1.01 CPs.reexp 0
% 0.59/1.01 Select 38
% 0.59/1.01 R 6
% 0.59/1.01 E 8
% 0.59/1.01 vsize 6.5M
% 0.59/1.01 rss 3.7M
% 0.59/1.01 process.time 0.009s
% 0.59/1.01 wallclock.time 0.009s
% 0.59/1.01 status S
% 0.59/1.01
% 0.59/1.01
% 0.59/1.01 Waldmeister states: Goal proved.
% 0.59/1.01 % SZS status Unsatisfiable
%------------------------------------------------------------------------------