TSTP Solution File: GRP406-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP406-1 : 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 12:26:08 EDT 2022
% Result : Unsatisfiable 0.61s 1.04s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP406-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n024.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 01:50:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.58/0.98 ********************************************************************************
% 0.58/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.98 * |/ | \/ | *
% 0.58/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.98 * A. Jaeger and B. Loechner | | *
% 0.58/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.98 ********************************************************************************
% 0.58/0.98
% 0.58/0.98
% 0.58/0.98 Goals:
% 0.58/0.98 ------
% 0.58/0.98
% 0.58/0.98 ( 1) multiply(inverse(a1),a1) ?=? multiply(inverse(b1),b1)
% 0.58/0.98
% 0.58/0.98 Detected structure: Orkus
% 0.58/0.98 ********************************************************************************
% 0.58/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.98 ********************************************************************************
% 0.58/0.98
% 0.61/1.04 joined goal: 1 multiply(inverse(a1),a1) ?= multiply(inverse(b1),b1) to multiply(b1,multiply(inverse(multiply(inverse(multiply(b1,b1)),multiply(b1,b1))),multiply(inverse(b1),multiply(inverse(b1),b1))))
% 0.61/1.04 goal joined
% 0.61/1.04 % SZS status Unsatisfiable
% 0.61/1.04 #START OF PROOF
% 0.61/1.04 % SZS output start CNFRefutation
% 0.61/1.04 cnf('0.1.0.0',axiom,
% 0.61/1.04 ( X1 = multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X1)),multiply(inverse(X3),multiply(inverse(X3),X3))))) ),
% 0.61/1.04 file('/tmp/WALDMEISTER_31547_n024')).
% 0.61/1.04 cnf('0.1.1.0',plain,
% 0.61/1.04 ( X1 = multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X1)),multiply(inverse(X3),multiply(inverse(X3),X3))))) ),
% 0.61/1.04 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.61/1.04 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.61/1.04 cnf('0.1.2.0',plain,
% 0.61/1.04 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))) = X3 ),
% 0.61/1.04 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.61/1.04 [x,rule_1]).
% 0.61/1.04 cnf('0.2.0.0',plain,
% 0.61/1.04 ( inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X4)),multiply(inverse(X3),multiply(inverse(X3),X3)))) = multiply(X1,inverse(multiply(inverse(X4),multiply(inverse(X2),multiply(inverse(X2),X2))))) ),
% 0.61/1.04 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.04 [pos('L.2.1.1.1','L')]).
% 0.61/1.04 cnf('0.2.1.0',plain,
% 0.61/1.04 ( inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X4)),multiply(inverse(X3),multiply(inverse(X3),X3)))) = multiply(X1,inverse(multiply(inverse(X4),multiply(inverse(X2),multiply(inverse(X2),X2))))) ),
% 0.61/1.04 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.61/1.04 [weight('<?,1,1,[0,0,0,5]>')]).
% 0.61/1.04 cnf('0.2.2.0',plain,
% 0.61/1.04 ( inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X4)),multiply(inverse(X3),multiply(inverse(X3),X3)))) = multiply(X1,inverse(multiply(inverse(X4),multiply(inverse(X2),multiply(inverse(X2),X2))))) ),
% 0.61/1.04 inference(activate,[status(thm)],['0.2.1.0']),
% 0.61/1.04 [equation_1]).
% 0.61/1.04 cnf('0.2.2.2',plain,
% 0.61/1.04 ( inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),b1)),X2)),multiply(inverse(b1),multiply(inverse(b1),b1)))) = multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X3),multiply(inverse(X3),X3))))) ),
% 0.61/1.04 inference(instl,[status(thm)],['0.2.2.0',theory(equality)])).
% 0.61/1.04 cnf('0.3.0.0',plain,
% 0.61/1.04 ( X1 = multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(inverse(X1),multiply(inverse(X3),multiply(inverse(X3),X3)))))) ),
% 0.61/1.04 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 0.61/1.04 [pos('L.2','L')]).
% 0.61/1.04 cnf('0.3.1.0',plain,
% 0.61/1.04 ( X1 = multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(inverse(X1),multiply(inverse(X3),multiply(inverse(X3),X3)))))) ),
% 0.61/1.04 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.61/1.04 [weight('<379,2,1,[0,0,0,2]>')]).
% 0.61/1.04 cnf('0.3.2.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(inverse(X3),multiply(inverse(X2),multiply(inverse(X2),X2)))))) = X3 ),
% 0.61/1.04 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.61/1.04 [x,rule_2]).
% 0.61/1.04 cnf('0.4.0.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X4) = multiply(inverse(multiply(X5,X3)),multiply(X5,multiply(X1,inverse(multiply(inverse(X4),multiply(inverse(X2),multiply(inverse(X2),X2))))))) ),
% 0.61/1.04 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.61/1.04 [pos('L.2.2','L')]).
% 0.61/1.04 cnf('0.4.1.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X4) = multiply(inverse(multiply(X5,X3)),multiply(X5,multiply(X1,inverse(multiply(inverse(X4),multiply(inverse(X2),multiply(inverse(X2),X2))))))) ),
% 0.61/1.04 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.61/1.04 [weight('<629,3,2,[1,0,0,7]>')]).
% 0.61/1.04 cnf('0.4.2.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X3,inverse(multiply(inverse(X4),multiply(inverse(X5),multiply(inverse(X5),X5))))))) = multiply(inverse(multiply(inverse(multiply(X3,X5)),X2)),X4) ),
% 0.61/1.04 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.61/1.04 [x,rule_3]).
% 0.61/1.04 cnf('0.5.0.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X1,X2)),X4)) = multiply(inverse(multiply(X5,X3)),multiply(X5,X4)) ),
% 0.61/1.04 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.04 [pos('L.2.2','L')]).
% 0.61/1.04 cnf('0.5.1.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X1,X2)),X4)) = multiply(inverse(multiply(X5,X3)),multiply(X5,X4)) ),
% 0.61/1.04 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.61/1.04 [weight('<528,4,1,[1,0,0,7]>')]).
% 0.61/1.04 cnf('0.5.2.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X1,X2)),X4)) = multiply(inverse(multiply(X5,X3)),multiply(X5,X4)) ),
% 0.61/1.04 inference(activate,[status(thm)],['0.5.1.0']),
% 0.61/1.04 [equation_2]).
% 0.61/1.04 cnf('0.5.2.1',plain,
% 0.61/1.04 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X1,X2)),X4)) = multiply(inverse(multiply(b1,X3)),multiply(b1,X4)) ),
% 0.61/1.04 inference(instr,[status(thm)],['0.5.2.0',theory(equality)])).
% 0.61/1.04 cnf('0.5.2.2',plain,
% 0.61/1.04 ( multiply(inverse(multiply(inverse(multiply(b1,b1)),X2)),multiply(inverse(multiply(b1,b1)),X3)) = multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) ),
% 0.61/1.04 inference(instl,[status(thm)],['0.5.2.0',theory(equality)])).
% 0.61/1.04 cnf('0.6.0.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)) ),
% 0.61/1.04 inference(cp,[status(thm)],['0.5.2.0','0.5.2.0',theory(equality)]),
% 0.61/1.04 [pos('L','L')]).
% 0.61/1.04 cnf('0.6.1.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)) ),
% 0.61/1.04 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.61/1.04 [weight('<288,5,5,[1,0,0,0]>')]).
% 0.61/1.04 cnf('0.6.2.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)) ),
% 0.61/1.04 inference(activate,[status(thm)],['0.6.1.0']),
% 0.61/1.04 [equation_3]).
% 0.61/1.04 cnf('0.6.2.1',plain,
% 0.61/1.04 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(b1,X2)),multiply(b1,X3)) ),
% 0.61/1.04 inference(instr,[status(thm)],['0.6.2.0',theory(equality)])).
% 0.61/1.04 cnf('0.6.2.2',plain,
% 0.61/1.04 ( multiply(inverse(multiply(b1,X2)),multiply(b1,X3)) = multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) ),
% 0.61/1.04 inference(instl,[status(thm)],['0.6.2.0',theory(equality)])).
% 0.61/1.04 cnf('0.7.0.0',plain,
% 0.61/1.04 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))) = inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,X3))),multiply(inverse(X5),multiply(inverse(X5),X5)))) ),
% 0.61/1.04 inference(cp,[status(thm)],['0.2.2.0','0.6.2.0',theory(equality)]),
% 0.61/1.04 [pos('L.1.1.1','L')]).
% 0.61/1.04 cnf('0.7.0.1',plain,
% 0.61/1.04 ( X3 = inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,X3))),multiply(inverse(X5),multiply(inverse(X5),X5)))) ),
% 0.61/1.04 inference(reduction,[status(thm)],['0.7.0.0','0.1.2.0',theory(equality)]),
% 0.61/1.04 [pos('L','L')]).
% 0.61/1.04 cnf('0.7.1.0',plain,
% 0.61/1.04 ( X3 = inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,X3))),multiply(inverse(X5),multiply(inverse(X5),X5)))) ),
% 0.61/1.04 inference(weigh,[status(thm)],['0.7.0.1']),
% 0.61/1.04 [weight('<379,6,2,[0,0,0,3]>')]).
% 0.61/1.04 cnf('0.7.2.0',plain,
% 0.61/1.04 ( inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))),multiply(inverse(X2),multiply(inverse(X2),X2)))) = X3 ),
% 0.61/1.04 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.61/1.04 [x,rule_4]).
% 0.61/1.04 cnf('0.9.0.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(X1,multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(X4),multiply(inverse(X4),X4))))))),multiply(X1,X5)) = multiply(inverse(X3),multiply(inverse(multiply(X2,X4)),X5)) ),
% 0.61/1.04 inference(cp,[status(thm)],['0.6.2.0','0.3.2.0',theory(equality)]),
% 0.61/1.04 [pos('L.1.1','L')]).
% 0.61/1.04 cnf('0.9.1.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(X1,multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(X4),multiply(inverse(X4),X4))))))),multiply(X1,X5)) = multiply(inverse(X3),multiply(inverse(multiply(X2,X4)),X5)) ),
% 0.61/1.04 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.61/1.04 [weight('<629,6,3,[1,0,0,2]>')]).
% 0.61/1.04 cnf('0.9.2.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(X1,multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(X4),multiply(inverse(X4),X4))))))),multiply(X1,X5)) = multiply(inverse(X3),multiply(inverse(multiply(X2,X4)),X5)) ),
% 0.61/1.04 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.61/1.04 [u,rule_6]).
% 0.61/1.04 cnf('0.10.0.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))),multiply(inverse(X2),multiply(inverse(X2),X2)))),multiply(inverse(multiply(X4,X5)),X6)) = multiply(inverse(multiply(X7,multiply(X4,inverse(multiply(X3,multiply(inverse(X5),multiply(inverse(X5),X5))))))),multiply(X7,X6)) ),
% 0.61/1.04 inference(cp,[status(thm)],['0.9.2.0','0.7.2.0',theory(equality)]),
% 0.61/1.04 [pos('L.1.1.2.2.1.1','L')]).
% 0.61/1.04 cnf('0.10.0.1',plain,
% 0.61/1.04 ( multiply(X3,multiply(inverse(multiply(X4,X5)),X6)) = multiply(inverse(multiply(X7,multiply(X4,inverse(multiply(X3,multiply(inverse(X5),multiply(inverse(X5),X5))))))),multiply(X7,X6)) ),
% 0.61/1.04 inference(reduction,[status(thm)],['0.10.0.0','0.7.2.0',theory(equality)]),
% 0.61/1.04 [pos('L.1','L')]).
% 0.61/1.04 cnf('0.10.1.0',plain,
% 0.61/1.04 ( multiply(X3,multiply(inverse(multiply(X4,X5)),X6)) = multiply(inverse(multiply(X7,multiply(X4,inverse(multiply(X3,multiply(inverse(X5),multiply(inverse(X5),X5))))))),multiply(X7,X6)) ),
% 0.61/1.04 inference(weigh,[status(thm)],['0.10.0.1']),
% 0.61/1.04 [weight('<559,9,7,[1,0,0,8]>')]).
% 0.61/1.04 cnf('0.10.2.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(X1,multiply(X2,inverse(multiply(X3,multiply(inverse(X4),multiply(inverse(X4),X4))))))),multiply(X1,X5)) = multiply(X3,multiply(inverse(multiply(X2,X4)),X5)) ),
% 0.61/1.04 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.61/1.04 [x,rule_7]).
% 0.61/1.04 cnf('0.11.0.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X4)),multiply(inverse(X3),multiply(inverse(X3),X3)))))),multiply(X1,X5)) = multiply(inverse(X4),multiply(X2,X5)) ),
% 0.61/1.04 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.04 [pos('L.1.1','L')]).
% 0.61/1.04 cnf('0.11.1.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X4)),multiply(inverse(X3),multiply(inverse(X3),X3)))))),multiply(X1,X5)) = multiply(inverse(X4),multiply(X2,X5)) ),
% 0.61/1.04 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.61/1.04 [weight('<719,6,1,[1,0,0,2]>')]).
% 0.61/1.04 cnf('0.11.2.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X4)),multiply(inverse(X3),multiply(inverse(X3),X3)))))),multiply(X1,X5)) = multiply(inverse(X4),multiply(X2,X5)) ),
% 0.61/1.04 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.61/1.04 [u,rule_8]).
% 0.61/1.04 cnf('0.14.0.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X3,X4))) = multiply(inverse(multiply(inverse(multiply(X3,X5)),X2)),multiply(inverse(multiply(X6,X5)),multiply(X6,X4))) ),
% 0.61/1.04 inference(cp,[status(thm)],['0.6.2.0','0.6.2.0',theory(equality)]),
% 0.61/1.04 [pos('L.2','L')]).
% 0.61/1.04 cnf('0.14.1.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X3,X4))) = multiply(inverse(multiply(inverse(multiply(X3,X5)),X2)),multiply(inverse(multiply(X6,X5)),multiply(X6,X4))) ),
% 0.61/1.04 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.61/1.04 [weight('<728,6,6,[0,0,0,5]>')]).
% 0.61/1.04 cnf('0.14.2.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X3,X4))) = multiply(inverse(multiply(inverse(multiply(X3,X5)),X2)),multiply(inverse(multiply(X6,X5)),multiply(X6,X4))) ),
% 0.61/1.04 inference(activate,[status(thm)],['0.14.1.0']),
% 0.61/1.04 [equation_5]).
% 0.61/1.04 cnf('0.14.2.1',plain,
% 0.61/1.04 ( multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X3,X4))) = multiply(inverse(multiply(inverse(multiply(X3,b1)),X2)),multiply(inverse(multiply(b1,b1)),multiply(b1,X4))) ),
% 0.61/1.04 inference(instr,[status(thm)],['0.14.2.0',theory(equality)])).
% 0.61/1.04 cnf('0.14.2.2',plain,
% 0.61/1.04 ( multiply(inverse(multiply(b1,X3)),multiply(b1,multiply(X1,X5))) = multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X4,X2)),multiply(X4,X5))) ),
% 0.61/1.04 inference(instl,[status(thm)],['0.14.2.0',theory(equality)])).
% 0.61/1.04 cnf('0.22.0.0',plain,
% 0.61/1.04 ( X1 = multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X2,multiply(inverse(multiply(X3,X4)),X4))),X1)),multiply(inverse(multiply(X5,X4)),multiply(X5,multiply(X3,X4)))))) ),
% 0.61/1.04 inference(cp,[status(thm)],['0.1.2.0','0.14.2.0',theory(equality)]),
% 0.61/1.04 [pos('L.2.1.2','R')]).
% 0.61/1.04 cnf('0.22.1.0',plain,
% 0.61/1.04 ( X1 = multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X2,multiply(inverse(multiply(X3,X4)),X4))),X1)),multiply(inverse(multiply(X5,X4)),multiply(X5,multiply(X3,X4)))))) ),
% 0.61/1.04 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.61/1.04 [weight('<755,14,1,[0,1,0,11]>')]).
% 0.61/1.04 cnf('0.22.2.0',plain,
% 0.61/1.04 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X1,multiply(inverse(multiply(X2,X3)),X3))),X4)),multiply(inverse(multiply(X5,X3)),multiply(X5,multiply(X2,X3)))))) = X4 ),
% 0.61/1.04 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.61/1.04 [x,rule_16]).
% 0.61/1.04 cnf('0.23.0.0',plain,
% 0.61/1.04 ( X1 = multiply(inverse(multiply(X2,multiply(inverse(multiply(X3,X4)),X4))),multiply(X2,inverse(multiply(inverse(X1),multiply(inverse(multiply(X5,X4)),multiply(X5,multiply(X3,X4))))))) ),
% 0.61/1.04 inference(cp,[status(thm)],['0.3.2.0','0.14.2.0',theory(equality)]),
% 0.61/1.04 [pos('L.2.2.1.2','R')]).
% 0.61/1.04 cnf('0.23.1.0',plain,
% 0.61/1.04 ( X1 = multiply(inverse(multiply(X2,multiply(inverse(multiply(X3,X4)),X4))),multiply(X2,inverse(multiply(inverse(X1),multiply(inverse(multiply(X5,X4)),multiply(X5,multiply(X3,X4))))))) ),
% 0.61/1.04 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.61/1.04 [weight('<755,14,3,[0,1,0,11]>')]).
% 0.61/1.04 cnf('0.23.2.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(X1,multiply(inverse(multiply(X2,X3)),X3))),multiply(X1,inverse(multiply(inverse(X4),multiply(inverse(multiply(X5,X3)),multiply(X5,multiply(X2,X3))))))) = X4 ),
% 0.61/1.04 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.61/1.04 [x,rule_17]).
% 0.61/1.04 cnf('0.24.0.0',plain,
% 0.61/1.04 ( X1 = multiply(inverse(multiply(X2,multiply(inverse(X3),inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),X3)),multiply(inverse(X5),multiply(inverse(X5),X5))))))),multiply(X2,inverse(multiply(inverse(X1),multiply(inverse(multiply(X6,inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),X3)),multiply(inverse(X5),multiply(inverse(X5),X5)))))),multiply(X6,multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),X3)),multiply(inverse(X5),multiply(inverse(X5),X5))))))))))) ),
% 0.61/1.04 inference(cp,[status(thm)],['0.23.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.04 [pos('L.1.1.2.1.1','L')]).
% 0.61/1.04 cnf('0.24.0.1',plain,
% 0.61/1.04 ( X1 = multiply(inverse(multiply(inverse(multiply(X4,X5)),X3)),multiply(inverse(multiply(inverse(X3),X5)),inverse(multiply(inverse(X1),multiply(inverse(multiply(X6,inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),X3)),multiply(inverse(X5),multiply(inverse(X5),X5)))))),multiply(X6,multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),X3)),multiply(inverse(X5),multiply(inverse(X5),X5))))))))))) ),
% 0.61/1.04 inference(reduction,[status(thm)],['0.24.0.0','0.10.2.0',theory(equality)]),
% 0.61/1.04 [pos('R','L')]).
% 0.61/1.04 cnf('0.24.0.2',plain,
% 0.61/1.04 ( X1 = multiply(inverse(multiply(inverse(multiply(X4,X5)),X3)),multiply(inverse(multiply(inverse(X3),X5)),inverse(multiply(inverse(X1),multiply(inverse(X3),multiply(X4,multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),X3)),multiply(inverse(X5),multiply(inverse(X5),X5))))))))))) ),
% 0.61/1.04 inference(reduction,[status(thm)],['0.24.0.1','0.11.2.0',theory(equality)]),
% 0.61/1.04 [pos('R.2.2.1.2','L')]).
% 0.61/1.04 cnf('0.24.0.3',plain,
% 0.61/1.04 ( X1 = multiply(inverse(multiply(inverse(multiply(X4,X5)),X3)),multiply(inverse(multiply(inverse(X3),X5)),inverse(multiply(inverse(X1),multiply(inverse(X3),multiply(X4,X3)))))) ),
% 0.61/1.04 inference(reduction,[status(thm)],['0.24.0.2','0.1.2.0',theory(equality)]),
% 0.61/1.04 [pos('R.2.2.1.2.2.2','L')]).
% 0.61/1.04 cnf('0.24.1.0',plain,
% 0.61/1.04 ( X1 = multiply(inverse(multiply(inverse(multiply(X4,X5)),X3)),multiply(inverse(multiply(inverse(X3),X5)),inverse(multiply(inverse(X1),multiply(inverse(X3),multiply(X4,X3)))))) ),
% 0.61/1.04 inference(weigh,[status(thm)],['0.24.0.3']),
% 0.61/1.04 [weight('<649,23,1,[1,0,0,6]>')]).
% 0.61/1.04 cnf('0.24.2.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(inverse(X3),X2)),inverse(multiply(inverse(X4),multiply(inverse(X3),multiply(X1,X3)))))) = X4 ),
% 0.61/1.04 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.61/1.04 [x,rule_18]).
% 0.61/1.04 cnf('0.25.0.0',plain,
% 0.61/1.04 ( X1 = inverse(multiply(inverse(multiply(inverse(multiply(X2,multiply(inverse(multiply(X3,X4)),X4))),multiply(X2,X1))),multiply(inverse(multiply(X5,X4)),multiply(X5,multiply(X3,X4))))) ),
% 0.61/1.04 inference(cp,[status(thm)],['0.7.2.0','0.14.2.0',theory(equality)]),
% 0.61/1.04 [pos('L.1.2','R')]).
% 0.61/1.04 cnf('0.25.1.0',plain,
% 0.61/1.04 ( X1 = inverse(multiply(inverse(multiply(inverse(multiply(X2,multiply(inverse(multiply(X3,X4)),X4))),multiply(X2,X1))),multiply(inverse(multiply(X5,X4)),multiply(X5,multiply(X3,X4))))) ),
% 0.61/1.04 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.61/1.04 [weight('<755,14,7,[0,1,0,11]>')]).
% 0.61/1.04 cnf('0.25.2.0',plain,
% 0.61/1.04 ( inverse(multiply(inverse(multiply(inverse(multiply(X1,multiply(inverse(multiply(X2,X3)),X3))),multiply(X1,X4))),multiply(inverse(multiply(X5,X3)),multiply(X5,multiply(X2,X3))))) = X4 ),
% 0.61/1.04 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.61/1.04 [x,rule_19]).
% 0.61/1.04 cnf('0.26.0.0',plain,
% 0.61/1.04 ( X1 = inverse(multiply(inverse(multiply(inverse(multiply(X2,multiply(inverse(X3),inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),X3)),multiply(inverse(X5),multiply(inverse(X5),X5))))))),multiply(X2,X1))),multiply(inverse(multiply(X6,inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),X3)),multiply(inverse(X5),multiply(inverse(X5),X5)))))),multiply(X6,multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),X3)),multiply(inverse(X5),multiply(inverse(X5),X5))))))))) ),
% 0.61/1.04 inference(cp,[status(thm)],['0.25.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.04 [pos('L.1.1.1.1.1.2.1.1','L')]).
% 0.61/1.04 cnf('0.26.0.1',plain,
% 0.61/1.04 ( X1 = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),X3)),multiply(inverse(multiply(inverse(X3),X5)),X1))),multiply(inverse(multiply(X6,inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),X3)),multiply(inverse(X5),multiply(inverse(X5),X5)))))),multiply(X6,multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),X3)),multiply(inverse(X5),multiply(inverse(X5),X5))))))))) ),
% 0.61/1.04 inference(reduction,[status(thm)],['0.26.0.0','0.10.2.0',theory(equality)]),
% 0.61/1.04 [pos('R.1.1.1','L')]).
% 0.61/1.04 cnf('0.26.0.2',plain,
% 0.61/1.04 ( X1 = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),X3)),multiply(inverse(multiply(inverse(X3),X5)),X1))),multiply(inverse(X3),multiply(X4,multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),X3)),multiply(inverse(X5),multiply(inverse(X5),X5))))))))) ),
% 0.61/1.04 inference(reduction,[status(thm)],['0.26.0.1','0.11.2.0',theory(equality)]),
% 0.61/1.04 [pos('R.1.2','L')]).
% 0.61/1.04 cnf('0.26.0.3',plain,
% 0.61/1.04 ( X1 = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),X3)),multiply(inverse(multiply(inverse(X3),X5)),X1))),multiply(inverse(X3),multiply(X4,X3)))) ),
% 0.61/1.04 inference(reduction,[status(thm)],['0.26.0.2','0.1.2.0',theory(equality)]),
% 0.61/1.04 [pos('R.1.2.2.2','L')]).
% 0.61/1.04 cnf('0.26.1.0',plain,
% 0.61/1.04 ( X1 = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),X3)),multiply(inverse(multiply(inverse(X3),X5)),X1))),multiply(inverse(X3),multiply(X4,X3)))) ),
% 0.61/1.04 inference(weigh,[status(thm)],['0.26.0.3']),
% 0.61/1.04 [weight('<649,25,1,[1,0,0,9]>')]).
% 0.61/1.04 cnf('0.26.2.0',plain,
% 0.61/1.04 ( inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(inverse(X3),X2)),X4))),multiply(inverse(X3),multiply(X1,X3)))) = X4 ),
% 0.61/1.04 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.61/1.04 [x,rule_20]).
% 0.61/1.04 cnf('0.28.0.0',plain,
% 0.61/1.04 ( multiply(inverse(X1),multiply(X2,X1)) = multiply(inverse(multiply(inverse(multiply(X2,X3)),X1)),inverse(multiply(X3,multiply(inverse(multiply(X4,X3)),multiply(X4,multiply(inverse(X1),X3)))))) ),
% 0.61/1.04 inference(cp,[status(thm)],['0.22.2.0','0.26.2.0',theory(equality)]),
% 0.61/1.04 [pos('L.2.1.1','L')]).
% 0.61/1.04 cnf('0.28.1.0',plain,
% 0.61/1.04 ( multiply(inverse(X1),multiply(X2,X1)) = multiply(inverse(multiply(inverse(multiply(X2,X3)),X1)),inverse(multiply(X3,multiply(inverse(multiply(X4,X3)),multiply(X4,multiply(inverse(X1),X3)))))) ),
% 0.61/1.04 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.61/1.04 [weight('<666,26,22,[0,0,0,4]>')]).
% 0.61/1.04 cnf('0.28.2.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),inverse(multiply(X2,multiply(inverse(multiply(X4,X2)),multiply(X4,multiply(inverse(X3),X2)))))) = multiply(inverse(X3),multiply(X1,X3)) ),
% 0.61/1.04 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.61/1.04 [x,rule_22]).
% 0.61/1.04 cnf('0.29.0.0',plain,
% 0.61/1.04 ( X1 = multiply(inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),inverse(X1)))),multiply(inverse(X2),multiply(inverse(X2),X2))) ),
% 0.61/1.04 inference(cp,[status(thm)],['0.24.2.0','0.28.2.0',theory(equality)]),
% 0.61/1.04 [pos('L.2','L')]).
% 0.61/1.04 cnf('0.29.1.0',plain,
% 0.61/1.04 ( X1 = multiply(inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),inverse(X1)))),multiply(inverse(X2),multiply(inverse(X2),X2))) ),
% 0.61/1.04 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.61/1.04 [weight('<461,28,24,[0,0,0,8]>')]).
% 0.61/1.04 cnf('0.29.1.1',plain,
% 0.61/1.04 ( X1 = multiply(inverse(multiply(inverse(multiply(b1,X2)),multiply(b1,inverse(X1)))),multiply(inverse(X2),multiply(inverse(X2),X2))) ),
% 0.61/1.04 inference(reduction,[status(thm)],['0.29.1.0','0.6.2.1',theory(equality)]),
% 0.61/1.04 [pos('R.1.1','L')]).
% 0.61/1.04 cnf('0.29.2.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(inverse(multiply(b1,X1)),multiply(b1,inverse(X2)))),multiply(inverse(X1),multiply(inverse(X1),X1))) = X2 ),
% 0.61/1.04 inference(orient,[status(thm)],['0.29.1.1',theory(equality)]),
% 0.61/1.04 [x,rule_23]).
% 0.61/1.04 cnf('0.30.0.0',plain,
% 0.61/1.04 ( X1 = multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X1)))),multiply(inverse(X3),multiply(inverse(X3),X3))) ),
% 0.61/1.04 inference(cp,[status(thm)],['0.29.2.0','0.6.2.0',theory(equality)]),
% 0.61/1.04 [pos('L.1.1','L')]).
% 0.61/1.04 cnf('0.30.1.0',plain,
% 0.61/1.04 ( X1 = multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X1)))),multiply(inverse(X3),multiply(inverse(X3),X3))) ),
% 0.61/1.04 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.61/1.04 [weight('<379,29,6,[1,0,0,2]>')]).
% 0.61/1.04 cnf('0.30.2.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),multiply(inverse(X2),multiply(inverse(X2),X2))) = X3 ),
% 0.61/1.04 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.61/1.04 [x,rule_24]).
% 0.61/1.04 cnf('0.36.0.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(X1,multiply(inverse(X2),multiply(inverse(X2),X2)))),multiply(X1,X3)) = multiply(X4,multiply(inverse(multiply(inverse(multiply(X5,X2)),multiply(X5,X4))),X3)) ),
% 0.61/1.04 inference(cp,[status(thm)],['0.6.2.0','0.7.2.0',theory(equality)]),
% 0.61/1.04 [pos('L.1','L')]).
% 0.61/1.04 cnf('0.36.1.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(X1,multiply(inverse(X2),multiply(inverse(X2),X2)))),multiply(X1,X3)) = multiply(X4,multiply(inverse(multiply(inverse(multiply(X5,X2)),multiply(X5,X4))),X3)) ),
% 0.61/1.04 inference(weigh,[status(thm)],['0.36.0.0']),
% 0.61/1.04 [weight('<783,7,6,[0,0,0,1]>')]).
% 0.61/1.04 cnf('0.36.2.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(X1,multiply(inverse(X2),multiply(inverse(X2),X2)))),multiply(X1,X3)) = multiply(X4,multiply(inverse(multiply(inverse(multiply(X5,X2)),multiply(X5,X4))),X3)) ),
% 0.61/1.04 inference(activate,[status(thm)],['0.36.1.0']),
% 0.61/1.04 [equation_7]).
% 0.61/1.04 cnf('0.36.2.1',plain,
% 0.61/1.04 ( multiply(inverse(multiply(X1,multiply(inverse(X2),multiply(inverse(X2),X2)))),multiply(X1,X3)) = multiply(b1,multiply(inverse(multiply(inverse(multiply(b1,X2)),multiply(b1,b1))),X3)) ),
% 0.61/1.04 inference(instr,[status(thm)],['0.36.2.0',theory(equality)])).
% 0.61/1.04 cnf('0.36.2.2',plain,
% 0.61/1.04 ( multiply(inverse(multiply(b1,multiply(inverse(X3),multiply(inverse(X3),X3)))),multiply(b1,X4)) = multiply(X1,multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X1))),X4)) ),
% 0.61/1.04 inference(instl,[status(thm)],['0.36.2.0',theory(equality)])).
% 0.61/1.04 cnf('0.37.0.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(X1,multiply(inverse(X2),multiply(inverse(X2),X2)))),multiply(X1,multiply(inverse(X2),multiply(inverse(X2),X2)))) = multiply(inverse(X3),X3) ),
% 0.61/1.04 inference(cp,[status(thm)],['0.36.2.0','0.30.2.0',theory(equality)]),
% 0.61/1.04 [pos('R.2','L')]).
% 0.61/1.04 cnf('0.37.1.0',plain,
% 0.61/1.04 ( multiply(inverse(multiply(X1,multiply(inverse(X2),multiply(inverse(X2),X2)))),multiply(X1,multiply(inverse(X2),multiply(inverse(X2),X2)))) = multiply(inverse(X3),X3) ),
% 0.61/1.04 inference(weigh,[status(thm)],['0.37.0.0']),
% 0.61/1.04 [weight('<624,36,30,[1,1,0,2]>')]).
% 0.61/1.04 cnf('0.37.1.1',plain,
% 0.61/1.04 ( multiply(b1,multiply(inverse(multiply(inverse(multiply(b1,X2)),multiply(b1,b1))),multiply(inverse(X2),multiply(inverse(X2),X2)))) = multiply(inverse(X3),X3) ),
% 0.61/1.04 inference(reduction,[status(thm)],['0.37.1.0','0.36.2.1',theory(equality)]),
% 0.61/1.04 [pos('L','L')]).
% 0.61/1.04 cnf('0.37.2.0',plain,
% 0.61/1.04 ( multiply(b1,multiply(inverse(multiply(inverse(multiply(b1,X1)),multiply(b1,b1))),multiply(inverse(X1),multiply(inverse(X1),X1)))) = multiply(inverse(X2),X2) ),
% 0.61/1.04 inference(activate,[status(thm)],['0.37.1.1']),
% 0.61/1.04 [equation_8]).
% 0.61/1.04 cnf('0.37.2.1',plain,
% 0.61/1.04 ( multiply(b1,multiply(inverse(multiply(inverse(multiply(b1,X1)),multiply(b1,b1))),multiply(inverse(X1),multiply(inverse(X1),X1)))) = multiply(inverse(b1),b1) ),
% 0.61/1.04 inference(instr,[status(thm)],['0.37.2.0',theory(equality)])).
% 0.61/1.04 cnf('0.37.2.2',plain,
% 0.61/1.04 ( multiply(b1,multiply(inverse(multiply(inverse(multiply(b1,b1)),multiply(b1,b1))),multiply(inverse(b1),multiply(inverse(b1),b1)))) = multiply(inverse(X1),X1) ),
% 0.61/1.04 inference(instl,[status(thm)],['0.37.2.0',theory(equality)])).
% 0.61/1.04 cnf('1.0.0.0',conjecture,
% 0.61/1.04 ( multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
% 0.61/1.04 file('/tmp/WALDMEISTER_31547_n024',conjecture_1)).
% 0.61/1.04 cnf('1.0.0.1',plain,
% 0.61/1.04 ( multiply(b1,multiply(inverse(multiply(inverse(multiply(b1,b1)),multiply(b1,b1))),multiply(inverse(b1),multiply(inverse(b1),b1)))) = multiply(inverse(b1),b1) ),
% 0.61/1.04 inference(reduction,[status(thm)],['1.0.0.0','0.37.2.2',theory(equality)]),
% 0.61/1.04 [pos('L','R')]).
% 0.61/1.04 cnf('1.0.0.2',plain,
% 0.61/1.04 ( multiply(b1,multiply(inverse(multiply(inverse(multiply(b1,b1)),multiply(b1,b1))),multiply(inverse(b1),multiply(inverse(b1),b1)))) = multiply(b1,multiply(inverse(multiply(inverse(multiply(b1,b1)),multiply(b1,b1))),multiply(inverse(b1),multiply(inverse(b1),b1)))) ),
% 0.61/1.04 inference(reduction,[status(thm)],['1.0.0.1','0.37.2.2',theory(equality)]),
% 0.61/1.04 [pos('R','R')]).
% 0.61/1.04 cnf('1.0.0.3',plain,
% 0.61/1.04 ( $true ),
% 0.61/1.04 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.61/1.04 [conjecture_1]).
% 0.61/1.04
% 0.61/1.04 Proved Goals:
% 0.61/1.04 No. 1: multiply(inverse(a1),a1) ?= multiply(inverse(b1),b1) joined, current: multiply(b1,multiply(inverse(multiply(inverse(multiply(b1,b1)),multiply(b1,b1))),multiply(inverse(b1),multiply(inverse(b1),b1)))) = multiply(b1,multiply(inverse(multiply(inverse(multiply(b1,b1)),multiply(b1,b1))),multiply(inverse(b1),multiply(inverse(b1),b1))))
% 0.61/1.04 1 goal was specified, which was proved.
% 0.61/1.04 % SZS output end CNFRefutation
% 0.61/1.04 #END OF PROOF
% 0.61/1.04
% 0.61/1.04 Problem WALDMEISTER_31547_n024
% 0.61/1.04 CPs.gen 6103
% 0.61/1.04 CPs.reexp 0
% 0.61/1.04 Select 157
% 0.61/1.04 R 29
% 0.61/1.04 E 8
% 0.61/1.04 vsize 6.5M
% 0.61/1.04 rss 3.7M
% 0.61/1.04 process.time 0.060s
% 0.61/1.04 wallclock.time 0.060s
% 0.61/1.04 status S
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 Waldmeister states: Goal proved.
% 0.61/1.04 % SZS status Unsatisfiable
%------------------------------------------------------------------------------