TSTP Solution File: GRP403-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP403-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n004.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 12:26:07 EDT 2022
% Result : Unsatisfiable 0.53s 0.97s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP403-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n004.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 : Tue Jun 14 11:02:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.53/0.94 ********************************************************************************
% 0.53/0.94 * W A L D M E I S T E R \| \ / \|/ *
% 0.53/0.94 * |/ | \/ | *
% 0.53/0.94 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.53/0.94 * A. Jaeger and B. Loechner | | *
% 0.53/0.94 * <waldmeister@informatik.uni-kl.de> | *
% 0.53/0.94 ********************************************************************************
% 0.53/0.94
% 0.53/0.94
% 0.53/0.94 Goals:
% 0.53/0.94 ------
% 0.53/0.94
% 0.53/0.94 ( 1) multiply(inverse(a1),a1) ?=? multiply(inverse(b1),b1)
% 0.53/0.94
% 0.53/0.94 Detected structure: Orkus
% 0.53/0.94 ********************************************************************************
% 0.53/0.94 ****************************** COMPLETION - PROOF ******************************
% 0.53/0.94 ********************************************************************************
% 0.53/0.94
% 0.53/0.97 joined goal: 1 multiply(inverse(a1),a1) ?= multiply(inverse(b1),b1) to multiply(inverse(multiply(b1,b1)),multiply(b1,b1))
% 0.53/0.97 goal joined
% 0.53/0.97 % SZS status Unsatisfiable
% 0.53/0.97 #START OF PROOF
% 0.53/0.97 % SZS output start CNFRefutation
% 0.53/0.97 cnf('0.1.0.0',axiom,
% 0.53/0.97 ( X1 = multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X1)),inverse(multiply(X3,multiply(inverse(X3),X3)))))) ),
% 0.53/0.97 file('/tmp/WALDMEISTER_20065_n004')).
% 0.53/0.97 cnf('0.1.1.0',plain,
% 0.53/0.97 ( X1 = multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X1)),inverse(multiply(X3,multiply(inverse(X3),X3)))))) ),
% 0.53/0.97 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.53/0.97 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.53/0.97 cnf('0.1.2.0',plain,
% 0.53/0.97 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),inverse(multiply(X2,multiply(inverse(X2),X2)))))) = X3 ),
% 0.53/0.97 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.53/0.97 [x,rule_1]).
% 0.53/0.97 cnf('0.2.0.0',plain,
% 0.53/0.97 ( inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X4)),inverse(multiply(X3,multiply(inverse(X3),X3))))) = multiply(X1,inverse(multiply(inverse(X4),inverse(multiply(X2,multiply(inverse(X2),X2)))))) ),
% 0.53/0.97 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.53/0.97 [pos('L.2.1.1.1','L')]).
% 0.53/0.97 cnf('0.2.1.0',plain,
% 0.53/0.97 ( inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X4)),inverse(multiply(X3,multiply(inverse(X3),X3))))) = multiply(X1,inverse(multiply(inverse(X4),inverse(multiply(X2,multiply(inverse(X2),X2)))))) ),
% 0.53/0.97 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.53/0.97 [weight('<?,1,1,[0,0,0,5]>')]).
% 0.53/0.97 cnf('0.2.2.0',plain,
% 0.53/0.97 ( inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X4)),inverse(multiply(X3,multiply(inverse(X3),X3))))) = multiply(X1,inverse(multiply(inverse(X4),inverse(multiply(X2,multiply(inverse(X2),X2)))))) ),
% 0.53/0.97 inference(activate,[status(thm)],['0.2.1.0']),
% 0.53/0.97 [equation_1]).
% 0.53/0.97 cnf('0.2.2.2',plain,
% 0.53/0.97 ( inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),b1)),X2)),inverse(multiply(b1,multiply(inverse(b1),b1))))) = multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,multiply(inverse(X3),X3)))))) ),
% 0.53/0.97 inference(instl,[status(thm)],['0.2.2.0',theory(equality)])).
% 0.53/0.97 cnf('0.3.0.0',plain,
% 0.53/0.97 ( X1 = multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(inverse(X1),inverse(multiply(X3,multiply(inverse(X3),X3))))))) ),
% 0.53/0.97 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 0.53/0.97 [pos('L.2','L')]).
% 0.53/0.97 cnf('0.3.1.0',plain,
% 0.53/0.97 ( X1 = multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(inverse(X1),inverse(multiply(X3,multiply(inverse(X3),X3))))))) ),
% 0.53/0.97 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.53/0.97 [weight('<379,2,1,[0,0,0,2]>')]).
% 0.53/0.97 cnf('0.3.2.0',plain,
% 0.53/0.97 ( multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(inverse(X3),inverse(multiply(X2,multiply(inverse(X2),X2))))))) = X3 ),
% 0.53/0.97 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.53/0.97 [x,rule_2]).
% 0.53/0.97 cnf('0.4.0.0',plain,
% 0.53/0.97 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X4) = multiply(inverse(multiply(X5,X3)),multiply(X5,multiply(X1,inverse(multiply(inverse(X4),inverse(multiply(X2,multiply(inverse(X2),X2)))))))) ),
% 0.53/0.97 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.53/0.97 [pos('L.2.2','L')]).
% 0.53/0.97 cnf('0.4.1.0',plain,
% 0.53/0.97 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X4) = multiply(inverse(multiply(X5,X3)),multiply(X5,multiply(X1,inverse(multiply(inverse(X4),inverse(multiply(X2,multiply(inverse(X2),X2)))))))) ),
% 0.53/0.97 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.53/0.97 [weight('<629,3,2,[1,0,0,7]>')]).
% 0.53/0.97 cnf('0.4.2.0',plain,
% 0.53/0.97 ( multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X3,inverse(multiply(inverse(X4),inverse(multiply(X5,multiply(inverse(X5),X5)))))))) = multiply(inverse(multiply(inverse(multiply(X3,X5)),X2)),X4) ),
% 0.53/0.97 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.53/0.97 [x,rule_3]).
% 0.53/0.97 cnf('0.5.0.0',plain,
% 0.53/0.97 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X1,X2)),X4)) = multiply(inverse(multiply(X5,X3)),multiply(X5,X4)) ),
% 0.53/0.97 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 0.53/0.97 [pos('L.2.2','L')]).
% 0.53/0.97 cnf('0.5.1.0',plain,
% 0.53/0.97 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X1,X2)),X4)) = multiply(inverse(multiply(X5,X3)),multiply(X5,X4)) ),
% 0.53/0.97 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.53/0.97 [weight('<528,4,1,[1,0,0,7]>')]).
% 0.53/0.97 cnf('0.5.2.0',plain,
% 0.53/0.97 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X1,X2)),X4)) = multiply(inverse(multiply(X5,X3)),multiply(X5,X4)) ),
% 0.53/0.97 inference(activate,[status(thm)],['0.5.1.0']),
% 0.53/0.97 [equation_2]).
% 0.53/0.97 cnf('0.5.2.1',plain,
% 0.53/0.97 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X1,X2)),X4)) = multiply(inverse(multiply(b1,X3)),multiply(b1,X4)) ),
% 0.53/0.97 inference(instr,[status(thm)],['0.5.2.0',theory(equality)])).
% 0.53/0.97 cnf('0.5.2.2',plain,
% 0.53/0.97 ( multiply(inverse(multiply(inverse(multiply(b1,b1)),X2)),multiply(inverse(multiply(b1,b1)),X3)) = multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) ),
% 0.53/0.97 inference(instl,[status(thm)],['0.5.2.0',theory(equality)])).
% 0.53/0.97 cnf('0.6.0.0',plain,
% 0.53/0.97 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)) ),
% 0.53/0.97 inference(cp,[status(thm)],['0.5.2.0','0.5.2.0',theory(equality)]),
% 0.53/0.97 [pos('L','L')]).
% 0.53/0.97 cnf('0.6.1.0',plain,
% 0.53/0.97 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)) ),
% 0.53/0.97 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.53/0.97 [weight('<288,5,5,[1,0,0,0]>')]).
% 0.53/0.97 cnf('0.6.2.0',plain,
% 0.53/0.97 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)) ),
% 0.53/0.97 inference(activate,[status(thm)],['0.6.1.0']),
% 0.53/0.97 [equation_3]).
% 0.53/0.97 cnf('0.6.2.1',plain,
% 0.53/0.97 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(b1,X2)),multiply(b1,X3)) ),
% 0.53/0.97 inference(instr,[status(thm)],['0.6.2.0',theory(equality)])).
% 0.53/0.97 cnf('0.6.2.2',plain,
% 0.53/0.97 ( multiply(inverse(multiply(b1,X2)),multiply(b1,X3)) = multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) ),
% 0.53/0.97 inference(instl,[status(thm)],['0.6.2.0',theory(equality)])).
% 0.53/0.97 cnf('0.7.0.0',plain,
% 0.53/0.97 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),inverse(multiply(X2,multiply(inverse(X2),X2)))))) = inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,X3))),inverse(multiply(X5,multiply(inverse(X5),X5))))) ),
% 0.53/0.97 inference(cp,[status(thm)],['0.2.2.0','0.6.2.0',theory(equality)]),
% 0.53/0.97 [pos('L.1.1.1','L')]).
% 0.53/0.97 cnf('0.7.0.1',plain,
% 0.53/0.97 ( X3 = inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,X3))),inverse(multiply(X5,multiply(inverse(X5),X5))))) ),
% 0.53/0.97 inference(reduction,[status(thm)],['0.7.0.0','0.1.2.0',theory(equality)]),
% 0.53/0.97 [pos('L','L')]).
% 0.53/0.97 cnf('0.7.1.0',plain,
% 0.53/0.97 ( X3 = inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,X3))),inverse(multiply(X5,multiply(inverse(X5),X5))))) ),
% 0.53/0.97 inference(weigh,[status(thm)],['0.7.0.1']),
% 0.53/0.97 [weight('<379,6,2,[0,0,0,3]>')]).
% 0.53/0.97 cnf('0.7.2.0',plain,
% 0.53/0.97 ( inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))),inverse(multiply(X2,multiply(inverse(X2),X2))))) = X3 ),
% 0.53/0.97 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.53/0.97 [x,rule_4]).
% 0.53/0.97 cnf('0.10.0.0',plain,
% 0.53/0.97 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X4)),inverse(multiply(X3,multiply(inverse(X3),X3))))))),multiply(X1,X5)) = multiply(inverse(X4),multiply(X2,X5)) ),
% 0.53/0.97 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 0.53/0.97 [pos('L.1.1','L')]).
% 0.53/0.97 cnf('0.10.1.0',plain,
% 0.53/0.97 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X4)),inverse(multiply(X3,multiply(inverse(X3),X3))))))),multiply(X1,X5)) = multiply(inverse(X4),multiply(X2,X5)) ),
% 0.53/0.97 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.53/0.97 [weight('<719,6,1,[1,0,0,2]>')]).
% 0.53/0.97 cnf('0.10.2.0',plain,
% 0.53/0.97 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X4)),inverse(multiply(X3,multiply(inverse(X3),X3))))))),multiply(X1,X5)) = multiply(inverse(X4),multiply(X2,X5)) ),
% 0.53/0.97 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.53/0.97 [u,rule_7]).
% 0.53/0.97 cnf('0.18.0.0',plain,
% 0.53/0.97 ( multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(inverse(X2),X2))))),multiply(X1,X3)) = multiply(X4,multiply(inverse(multiply(inverse(multiply(X5,X2)),multiply(X5,X4))),X3)) ),
% 0.53/0.97 inference(cp,[status(thm)],['0.6.2.0','0.7.2.0',theory(equality)]),
% 0.53/0.97 [pos('L.1','L')]).
% 0.53/0.97 cnf('0.18.1.0',plain,
% 0.53/0.97 ( multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(inverse(X2),X2))))),multiply(X1,X3)) = multiply(X4,multiply(inverse(multiply(inverse(multiply(X5,X2)),multiply(X5,X4))),X3)) ),
% 0.53/0.97 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.53/0.97 [weight('<783,7,6,[0,0,0,1]>')]).
% 0.53/0.97 cnf('0.18.2.0',plain,
% 0.53/0.97 ( multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(inverse(X2),X2))))),multiply(X1,X3)) = multiply(X4,multiply(inverse(multiply(inverse(multiply(X5,X2)),multiply(X5,X4))),X3)) ),
% 0.53/0.97 inference(activate,[status(thm)],['0.18.1.0']),
% 0.53/0.97 [equation_7]).
% 0.53/0.97 cnf('0.18.2.1',plain,
% 0.53/0.97 ( multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(inverse(X2),X2))))),multiply(X1,X3)) = multiply(b1,multiply(inverse(multiply(inverse(multiply(b1,X2)),multiply(b1,b1))),X3)) ),
% 0.53/0.97 inference(instr,[status(thm)],['0.18.2.0',theory(equality)])).
% 0.53/0.97 cnf('0.18.2.2',plain,
% 0.53/0.97 ( multiply(inverse(multiply(b1,inverse(multiply(X3,multiply(inverse(X3),X3))))),multiply(b1,X4)) = multiply(X1,multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X1))),X4)) ),
% 0.53/0.97 inference(instl,[status(thm)],['0.18.2.0',theory(equality)])).
% 0.53/0.97 cnf('0.19.0.0',plain,
% 0.53/0.97 ( multiply(X1,multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X1))),X4)) = multiply(X5,multiply(inverse(multiply(inverse(multiply(X6,X3)),multiply(X6,X5))),X4)) ),
% 0.53/0.97 inference(cp,[status(thm)],['0.18.2.0','0.7.2.0',theory(equality)]),
% 0.53/0.97 [pos('L.1','L')]).
% 0.53/0.97 cnf('0.19.1.0',plain,
% 0.53/0.97 ( multiply(X1,multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X1))),X4)) = multiply(X5,multiply(inverse(multiply(inverse(multiply(X6,X3)),multiply(X6,X5))),X4)) ),
% 0.53/0.97 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.53/0.97 [weight('<728,18,7,[1,0,0,1]>')]).
% 0.53/0.97 cnf('0.19.2.0',plain,
% 0.53/0.97 ( multiply(X1,multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X1))),X4)) = multiply(X5,multiply(inverse(multiply(inverse(multiply(X6,X3)),multiply(X6,X5))),X4)) ),
% 0.53/0.97 inference(activate,[status(thm)],['0.19.1.0']),
% 0.53/0.97 [equation_8]).
% 0.53/0.97 cnf('0.19.2.1',plain,
% 0.53/0.97 ( multiply(X1,multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X1))),X4)) = multiply(b1,multiply(inverse(multiply(inverse(multiply(b1,X3)),multiply(b1,b1))),X4)) ),
% 0.53/0.97 inference(instr,[status(thm)],['0.19.2.0',theory(equality)])).
% 0.53/0.97 cnf('0.19.2.2',plain,
% 0.53/0.97 ( multiply(b1,multiply(inverse(multiply(inverse(multiply(b1,X3)),multiply(b1,b1))),X4)) = multiply(X1,multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X1))),X4)) ),
% 0.53/0.97 inference(instl,[status(thm)],['0.19.2.0',theory(equality)])).
% 0.53/0.97 cnf('0.20.0.0',plain,
% 0.53/0.97 ( multiply(X1,multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),X5)),inverse(multiply(X4,multiply(inverse(X4),X4))))))),multiply(X2,X1))),X6)) = multiply(X7,multiply(inverse(multiply(inverse(X5),multiply(X3,X7))),X6)) ),
% 0.53/0.97 inference(cp,[status(thm)],['0.19.2.0','0.1.2.0',theory(equality)]),
% 0.53/0.97 [pos('L.2.1.1.1.1','L')]).
% 0.53/0.97 cnf('0.20.0.1',plain,
% 0.53/0.97 ( multiply(X1,multiply(inverse(multiply(inverse(X5),multiply(X3,X1))),X6)) = multiply(X7,multiply(inverse(multiply(inverse(X5),multiply(X3,X7))),X6)) ),
% 0.53/0.97 inference(reduction,[status(thm)],['0.20.0.0','0.10.2.0',theory(equality)]),
% 0.53/0.97 [pos('L.2.1.1','L')]).
% 0.53/0.97 cnf('0.20.1.0',plain,
% 0.53/0.97 ( multiply(X1,multiply(inverse(multiply(inverse(X5),multiply(X3,X1))),X6)) = multiply(X7,multiply(inverse(multiply(inverse(X5),multiply(X3,X7))),X6)) ),
% 0.53/0.97 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.53/0.97 [weight('<528,19,1,[1,0,0,6]>')]).
% 0.53/0.97 cnf('0.20.2.0',plain,
% 0.53/0.97 ( multiply(X1,multiply(inverse(multiply(inverse(X2),multiply(X3,X1))),X4)) = multiply(X5,multiply(inverse(multiply(inverse(X2),multiply(X3,X5))),X4)) ),
% 0.53/0.97 inference(activate,[status(thm)],['0.20.1.0']),
% 0.53/0.97 [equation_9]).
% 0.53/0.97 cnf('0.20.2.1',plain,
% 0.53/0.97 ( multiply(X1,multiply(inverse(multiply(inverse(X2),multiply(X3,X1))),X4)) = multiply(b1,multiply(inverse(multiply(inverse(X2),multiply(X3,b1))),X4)) ),
% 0.53/0.97 inference(instr,[status(thm)],['0.20.2.0',theory(equality)])).
% 0.53/0.97 cnf('0.20.2.2',plain,
% 0.53/0.97 ( multiply(b1,multiply(inverse(multiply(inverse(X2),multiply(X3,b1))),X4)) = multiply(X1,multiply(inverse(multiply(inverse(X2),multiply(X3,X1))),X4)) ),
% 0.53/0.97 inference(instl,[status(thm)],['0.20.2.0',theory(equality)])).
% 0.53/0.97 cnf('0.21.0.0',plain,
% 0.53/0.97 ( multiply(X1,multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X4))),inverse(multiply(X3,multiply(inverse(X3),X3))))),multiply(X5,X1))),X6)) = multiply(X7,multiply(inverse(multiply(X4,multiply(X5,X7))),X6)) ),
% 0.53/0.97 inference(cp,[status(thm)],['0.20.2.0','0.7.2.0',theory(equality)]),
% 0.53/0.97 [pos('L.2.1.1.1','L')]).
% 0.53/0.97 cnf('0.21.0.1',plain,
% 0.53/0.97 ( multiply(X1,multiply(inverse(multiply(X4,multiply(X5,X1))),X6)) = multiply(X7,multiply(inverse(multiply(X4,multiply(X5,X7))),X6)) ),
% 0.53/0.97 inference(reduction,[status(thm)],['0.21.0.0','0.7.2.0',theory(equality)]),
% 0.53/0.97 [pos('L.2.1.1.1','L')]).
% 0.53/0.97 cnf('0.21.1.0',plain,
% 0.53/0.97 ( multiply(X1,multiply(inverse(multiply(X4,multiply(X5,X1))),X6)) = multiply(X7,multiply(inverse(multiply(X4,multiply(X5,X7))),X6)) ),
% 0.53/0.97 inference(weigh,[status(thm)],['0.21.0.1']),
% 0.53/0.97 [weight('<440,20,7,[1,0,0,5]>')]).
% 0.53/0.97 cnf('0.21.2.0',plain,
% 0.53/0.97 ( multiply(X1,multiply(inverse(multiply(X2,multiply(X3,X1))),X4)) = multiply(X5,multiply(inverse(multiply(X2,multiply(X3,X5))),X4)) ),
% 0.53/0.97 inference(activate,[status(thm)],['0.21.1.0']),
% 0.53/0.97 [equation_10]).
% 0.53/0.97 cnf('0.21.2.1',plain,
% 0.53/0.97 ( multiply(X1,multiply(inverse(multiply(X2,multiply(X3,X1))),X4)) = multiply(b1,multiply(inverse(multiply(X2,multiply(X3,b1))),X4)) ),
% 0.53/0.97 inference(instr,[status(thm)],['0.21.2.0',theory(equality)])).
% 0.53/0.97 cnf('0.21.2.2',plain,
% 0.53/0.97 ( multiply(b1,multiply(inverse(multiply(X2,multiply(X3,b1))),X4)) = multiply(X1,multiply(inverse(multiply(X2,multiply(X3,X1))),X4)) ),
% 0.53/0.97 inference(instl,[status(thm)],['0.21.2.0',theory(equality)])).
% 0.53/0.97 cnf('0.23.0.0',plain,
% 0.53/0.97 ( multiply(inverse(multiply(X1,multiply(X2,inverse(multiply(X3,X4))))),X5) = multiply(X3,inverse(multiply(inverse(multiply(X6,multiply(inverse(multiply(X1,multiply(X2,X6))),X5))),inverse(multiply(X4,multiply(inverse(X4),X4)))))) ),
% 0.53/0.97 inference(cp,[status(thm)],['0.1.2.0','0.21.2.0',theory(equality)]),
% 0.53/0.97 [pos('L.2.1.1.1','L')]).
% 0.53/0.97 cnf('0.23.1.0',plain,
% 0.53/0.97 ( multiply(inverse(multiply(X1,multiply(X2,inverse(multiply(X3,X4))))),X5) = multiply(X3,inverse(multiply(inverse(multiply(X6,multiply(inverse(multiply(X1,multiply(X2,X6))),X5))),inverse(multiply(X4,multiply(inverse(X4),X4)))))) ),
% 0.53/0.97 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.53/0.97 [weight('<781,21,1,[0,0,0,5]>')]).
% 0.53/0.97 cnf('0.23.2.0',plain,
% 0.53/0.97 ( multiply(X1,inverse(multiply(inverse(multiply(X2,multiply(inverse(multiply(X3,multiply(X4,X2))),X5))),inverse(multiply(X6,multiply(inverse(X6),X6)))))) = multiply(inverse(multiply(X3,multiply(X4,inverse(multiply(X1,X6))))),X5) ),
% 0.53/0.97 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.53/0.97 [x,rule_12]).
% 0.53/0.97 cnf('0.24.0.0',plain,
% 0.53/0.97 ( inverse(multiply(X1,multiply(inverse(X1),X1))) = multiply(inverse(multiply(X2,X1)),inverse(multiply(X3,inverse(multiply(multiply(X2,X3),multiply(inverse(multiply(X2,X3)),multiply(X2,X3))))))) ),
% 0.53/0.97 inference(cp,[status(thm)],['0.1.2.0','0.7.2.0',theory(equality)]),
% 0.53/0.97 [pos('L.2.1.1','L')]).
% 0.53/0.97 cnf('0.24.1.0',plain,
% 0.53/0.97 ( inverse(multiply(X1,multiply(inverse(X1),X1))) = multiply(inverse(multiply(X2,X1)),inverse(multiply(X3,inverse(multiply(multiply(X2,X3),multiply(inverse(multiply(X2,X3)),multiply(X2,X3))))))) ),
% 0.53/0.97 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.53/0.97 [weight('<840,7,1,[0,0,0,4]>')]).
% 0.53/0.97 cnf('0.24.2.0',plain,
% 0.53/0.97 ( inverse(multiply(X1,multiply(inverse(X1),X1))) = multiply(inverse(multiply(X2,X1)),inverse(multiply(X3,inverse(multiply(multiply(X2,X3),multiply(inverse(multiply(X2,X3)),multiply(X2,X3))))))) ),
% 0.53/0.97 inference(activate,[status(thm)],['0.24.1.0']),
% 0.53/0.97 [equation_12]).
% 0.53/0.97 cnf('0.24.2.1',plain,
% 0.53/0.97 ( inverse(multiply(X1,multiply(inverse(X1),X1))) = multiply(inverse(multiply(b1,X1)),inverse(multiply(b1,inverse(multiply(multiply(b1,b1),multiply(inverse(multiply(b1,b1)),multiply(b1,b1))))))) ),
% 0.53/0.97 inference(instr,[status(thm)],['0.24.2.0',theory(equality)])).
% 0.53/0.97 cnf('0.25.0.0',plain,
% 0.53/0.97 ( X1 = multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X1)))),inverse(multiply(X3,multiply(inverse(X3),X3)))) ),
% 0.53/0.97 inference(cp,[status(thm)],['0.3.2.0','0.24.2.0',theory(equality)]),
% 0.53/0.97 [pos('L.2','R')]).
% 0.53/0.97 cnf('0.25.1.0',plain,
% 0.53/0.97 ( X1 = multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X1)))),inverse(multiply(X3,multiply(inverse(X3),X3)))) ),
% 0.53/0.97 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.53/0.97 [weight('<379,24,3,[0,1,0,5]>')]).
% 0.53/0.97 cnf('0.25.2.0',plain,
% 0.53/0.97 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),inverse(multiply(X2,multiply(inverse(X2),X2)))) = X3 ),
% 0.53/0.97 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.53/0.97 [x,rule_13]).
% 0.53/0.97 cnf('0.26.0.0',plain,
% 0.53/0.97 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(X3,X4))))),inverse(multiply(X2,multiply(inverse(X2),X2)))) = multiply(X3,inverse(multiply(inverse(multiply(inverse(X5),X5)),inverse(multiply(X4,multiply(inverse(X4),X4)))))) ),
% 0.53/0.97 inference(cp,[status(thm)],['0.23.2.0','0.25.2.0',theory(equality)]),
% 0.53/0.97 [pos('L.2.1.1.1.2','L')]).
% 0.53/0.97 cnf('0.26.0.1',plain,
% 0.53/0.97 ( multiply(X3,X4) = multiply(X3,inverse(multiply(inverse(multiply(inverse(X5),X5)),inverse(multiply(X4,multiply(inverse(X4),X4)))))) ),
% 0.53/0.97 inference(reduction,[status(thm)],['0.26.0.0','0.25.2.0',theory(equality)]),
% 0.53/0.97 [pos('L','L')]).
% 0.53/0.97 cnf('0.26.1.0',plain,
% 0.53/0.97 ( multiply(X3,X4) = multiply(X3,inverse(multiply(inverse(multiply(inverse(X5),X5)),inverse(multiply(X4,multiply(inverse(X4),X4)))))) ),
% 0.53/0.97 inference(weigh,[status(thm)],['0.26.0.1']),
% 0.53/0.97 [weight('<339,25,23,[0,0,0,7]>')]).
% 0.53/0.97 cnf('0.26.2.0',plain,
% 0.53/0.97 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(X3,multiply(inverse(X3),X3)))))) = multiply(X1,X3) ),
% 0.53/0.97 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.53/0.97 [x,rule_14]).
% 0.53/0.97 cnf('0.27.0.0',plain,
% 0.53/0.97 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(X2,X3)),multiply(X2,X3)) ),
% 0.53/0.97 inference(cp,[status(thm)],['0.3.2.0','0.26.2.0',theory(equality)]),
% 0.53/0.97 [pos('L.2','L')]).
% 0.53/0.97 cnf('0.27.1.0',plain,
% 0.53/0.97 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(X2,X3)),multiply(X2,X3)) ),
% 0.53/0.97 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.53/0.97 [weight('<168,26,3,[0,0,0,5]>')]).
% 0.53/0.97 cnf('0.27.2.0',plain,
% 0.53/0.97 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(X2,X3)),multiply(X2,X3)) ),
% 0.53/0.97 inference(activate,[status(thm)],['0.27.1.0']),
% 0.53/0.97 [equation_13]).
% 0.53/0.97 cnf('0.27.2.1',plain,
% 0.53/0.97 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(b1,b1)),multiply(b1,b1)) ),
% 0.53/0.97 inference(instr,[status(thm)],['0.27.2.0',theory(equality)])).
% 0.53/0.97 cnf('0.27.2.2',plain,
% 0.53/0.97 ( multiply(inverse(b1),b1) = multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) ),
% 0.53/0.97 inference(instl,[status(thm)],['0.27.2.0',theory(equality)])).
% 0.53/0.97 cnf('1.0.0.0',conjecture,
% 0.53/0.97 ( multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
% 0.53/0.97 file('/tmp/WALDMEISTER_20065_n004',conjecture_1)).
% 0.53/0.97 cnf('1.0.0.1',plain,
% 0.53/0.97 ( multiply(inverse(multiply(b1,b1)),multiply(b1,b1)) = multiply(inverse(b1),b1) ),
% 0.53/0.97 inference(reduction,[status(thm)],['1.0.0.0','0.27.2.1',theory(equality)]),
% 0.53/0.97 [pos('L','L')]).
% 0.53/0.97 cnf('1.0.0.2',plain,
% 0.53/0.97 ( multiply(inverse(multiply(b1,b1)),multiply(b1,b1)) = multiply(inverse(multiply(b1,b1)),multiply(b1,b1)) ),
% 0.53/0.97 inference(reduction,[status(thm)],['1.0.0.1','0.27.2.1',theory(equality)]),
% 0.53/0.97 [pos('R','L')]).
% 0.53/0.97 cnf('1.0.0.3',plain,
% 0.53/0.97 ( $true ),
% 0.53/0.97 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.53/0.97 [conjecture_1]).
% 0.53/0.97
% 0.53/0.97 Proved Goals:
% 0.53/0.97 No. 1: multiply(inverse(a1),a1) ?= multiply(inverse(b1),b1) joined, current: multiply(inverse(multiply(b1,b1)),multiply(b1,b1)) = multiply(inverse(multiply(b1,b1)),multiply(b1,b1))
% 0.53/0.97 1 goal was specified, which was proved.
% 0.53/0.97 % SZS output end CNFRefutation
% 0.53/0.97 #END OF PROOF
% 0.53/0.97
% 0.53/0.97 Problem WALDMEISTER_20065_n004
% 0.53/0.97 CPs.gen 2712
% 0.53/0.97 CPs.reexp 0
% 0.53/0.97 Select 116
% 0.53/0.97 R 14
% 0.53/0.97 E 13
% 0.53/0.97 vsize 6.5M
% 0.53/0.97 rss 3.7M
% 0.53/0.97 process.time 0.027s
% 0.53/0.97 wallclock.time 0.027s
% 0.53/0.97 status S
% 0.53/0.97
% 0.53/0.97
% 0.53/0.97 Waldmeister states: Goal proved.
% 0.53/0.97 % SZS status Unsatisfiable
%------------------------------------------------------------------------------