TSTP Solution File: GRP441-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP441-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n020.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 12:26:16 EDT 2022
% Result : Unsatisfiable 0.67s 1.08s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP441-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n020.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 06:34:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.64/1.02 ********************************************************************************
% 0.64/1.02 * W A L D M E I S T E R \| \ / \|/ *
% 0.64/1.02 * |/ | \/ | *
% 0.64/1.02 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.64/1.02 * A. Jaeger and B. Loechner | | *
% 0.64/1.02 * <waldmeister@informatik.uni-kl.de> | *
% 0.64/1.02 ********************************************************************************
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 Goals:
% 0.64/1.02 ------
% 0.64/1.02
% 0.64/1.02 ( 1) multiply(multiply(a3,b3),c3) ?=? multiply(a3,multiply(b3,c3))
% 0.64/1.02
% 0.64/1.02 Detected structure: Orkus
% 0.64/1.02 ********************************************************************************
% 0.64/1.02 ****************************** COMPLETION - PROOF ******************************
% 0.64/1.02 ********************************************************************************
% 0.64/1.02
% 0.67/1.08 joined goal: 1 multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) to multiply(a3,multiply(b3,c3))
% 0.67/1.08 goal joined
% 0.67/1.08 % SZS status Unsatisfiable
% 0.67/1.08 #START OF PROOF
% 0.67/1.08 % SZS output start CNFRefutation
% 0.67/1.08 cnf('0.1.0.0',axiom,
% 0.67/1.08 ( X1 = inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),X4),inverse(multiply(X1,multiply(X2,X4))))))) ),
% 0.67/1.08 file('/tmp/WALDMEISTER_14477_n020')).
% 0.67/1.08 cnf('0.1.1.0',plain,
% 0.67/1.08 ( X1 = inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),X4),inverse(multiply(X1,multiply(X2,X4))))))) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.67/1.08 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.67/1.08 cnf('0.1.2.0',plain,
% 0.67/1.08 ( inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(X4,multiply(X1,X3))))))) = X4 ),
% 0.67/1.08 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.67/1.08 [x,rule_1]).
% 0.67/1.08 cnf('0.2.0.0',plain,
% 0.67/1.08 ( X1 = inverse(multiply(X2,multiply(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),X5),inverse(multiply(X6,multiply(X3,X5)))))),multiply(multiply(X6,X7),inverse(multiply(X1,multiply(X2,X7))))))) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.1.2.2.1.1','L')]).
% 0.67/1.08 cnf('0.2.1.0',plain,
% 0.67/1.08 ( X1 = inverse(multiply(X2,multiply(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),X5),inverse(multiply(X6,multiply(X3,X5)))))),multiply(multiply(X6,X7),inverse(multiply(X1,multiply(X2,X7))))))) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.67/1.08 [weight('<?,1,1,[0,0,0,7]>')]).
% 0.67/1.08 cnf('0.2.2.0',plain,
% 0.67/1.08 ( inverse(multiply(X1,multiply(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),X4),inverse(multiply(X5,multiply(X2,X4)))))),multiply(multiply(X5,X6),inverse(multiply(X7,multiply(X1,X6))))))) = X7 ),
% 0.67/1.08 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.67/1.08 [x,rule_2]).
% 0.67/1.08 cnf('0.3.0.0',plain,
% 0.67/1.08 ( X1 = inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),multiply(multiply(inverse(X2),X4),inverse(multiply(X5,multiply(X1,X4))))),X5)))) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.1.2.2.2','L')]).
% 0.67/1.08 cnf('0.3.1.0',plain,
% 0.67/1.08 ( X1 = inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),multiply(multiply(inverse(X2),X4),inverse(multiply(X5,multiply(X1,X4))))),X5)))) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.67/1.08 [weight('<505,1,1,[0,0,0,10]>')]).
% 0.67/1.08 cnf('0.3.2.0',plain,
% 0.67/1.08 ( inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(multiply(inverse(X1),X3),inverse(multiply(X4,multiply(X5,X3))))),X4)))) = X5 ),
% 0.67/1.08 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.67/1.08 [x,rule_3]).
% 0.67/1.08 cnf('0.4.0.0',plain,
% 0.67/1.08 ( X1 = inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),multiply(multiply(inverse(X2),multiply(multiply(inverse(X1),X4),inverse(multiply(X5,multiply(X6,X4))))),X5)),X6)))) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.1.2.0','0.3.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.1.2.2.2','L')]).
% 0.67/1.08 cnf('0.4.1.0',plain,
% 0.67/1.08 ( X1 = inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),multiply(multiply(inverse(X2),multiply(multiply(inverse(X1),X4),inverse(multiply(X5,multiply(X6,X4))))),X5)),X6)))) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.67/1.08 [weight('<755,3,1,[0,0,0,10]>')]).
% 0.67/1.08 cnf('0.4.2.0',plain,
% 0.67/1.08 ( inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(multiply(inverse(X1),multiply(multiply(inverse(X3),X4),inverse(multiply(X5,multiply(X6,X4))))),X5)),X6)))) = X3 ),
% 0.67/1.08 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.67/1.08 [x,rule_4]).
% 0.67/1.08 cnf('0.5.0.0',plain,
% 0.67/1.08 ( X1 = inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),multiply(multiply(inverse(X2),multiply(multiply(inverse(X1),multiply(multiply(inverse(X4),X5),inverse(multiply(X6,multiply(X7,X5))))),X6)),X7)),X4)))) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.3.2.0','0.3.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.1.2.2.1.2.2','L')]).
% 0.67/1.08 cnf('0.5.1.0',plain,
% 0.67/1.08 ( X1 = inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),multiply(multiply(inverse(X2),multiply(multiply(inverse(X1),multiply(multiply(inverse(X4),X5),inverse(multiply(X6,multiply(X7,X5))))),X6)),X7)),X4)))) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.67/1.08 [weight('<1055,3,3,[0,0,0,14]>')]).
% 0.67/1.08 cnf('0.5.2.0',plain,
% 0.67/1.08 ( inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(multiply(inverse(X1),multiply(multiply(inverse(X3),multiply(multiply(inverse(X4),X5),inverse(multiply(X6,multiply(X7,X5))))),X6)),X7)),X4)))) = X3 ),
% 0.67/1.08 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.67/1.08 [x,rule_5]).
% 0.67/1.08 cnf('0.15.0.0',plain,
% 0.67/1.08 ( multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(X4,multiply(X1,X3)))))) = inverse(multiply(X5,multiply(X6,multiply(multiply(inverse(X6),multiply(multiply(inverse(X5),multiply(multiply(X4,X7),inverse(multiply(X8,multiply(X9,X7))))),X8)),X9)))) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.1.2.2.1.2.2','L')]).
% 0.67/1.08 cnf('0.15.1.0',plain,
% 0.67/1.08 ( multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(X4,multiply(X1,X3)))))) = inverse(multiply(X5,multiply(X6,multiply(multiply(inverse(X6),multiply(multiply(inverse(X5),multiply(multiply(X4,X7),inverse(multiply(X8,multiply(X9,X7))))),X8)),X9)))) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.67/1.08 [weight('<1680,3,2,[1,0,0,14]>')]).
% 0.67/1.08 cnf('0.15.2.0',plain,
% 0.67/1.08 ( multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(X4,multiply(X1,X3)))))) = inverse(multiply(X5,multiply(X6,multiply(multiply(inverse(X6),multiply(multiply(inverse(X5),multiply(multiply(X4,X7),inverse(multiply(X8,multiply(X9,X7))))),X8)),X9)))) ),
% 0.67/1.08 inference(activate,[status(thm)],['0.15.1.0']),
% 0.67/1.08 [equation_1]).
% 0.67/1.08 cnf('0.15.2.1',plain,
% 0.67/1.08 ( multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(X4,multiply(X1,X3)))))) = inverse(multiply(c3,multiply(c3,multiply(multiply(inverse(c3),multiply(multiply(inverse(c3),multiply(multiply(X4,c3),inverse(multiply(c3,multiply(c3,c3))))),c3)),c3)))) ),
% 0.67/1.08 inference(instr,[status(thm)],['0.15.2.0',theory(equality)])).
% 0.67/1.08 cnf('0.15.2.2',plain,
% 0.67/1.08 ( multiply(c3,multiply(c3,multiply(multiply(inverse(c3),c3),inverse(multiply(X3,multiply(c3,c3)))))) = inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(multiply(inverse(X1),multiply(multiply(X3,X4),inverse(multiply(X5,multiply(X6,X4))))),X5)),X6)))) ),
% 0.67/1.08 inference(instl,[status(thm)],['0.15.2.0',theory(equality)])).
% 0.67/1.08 cnf('0.16.0.0',plain,
% 0.67/1.08 ( inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(multiply(inverse(X1),multiply(multiply(inverse(X3),X4),inverse(multiply(X5,multiply(X6,X4))))),X5)),X6)))) = X3 ),
% 0.67/1.08 inference(interreduction_right,[status(thm)],['0.4.2.0'])).
% 0.67/1.08 cnf('0.16.1.0',plain,
% 0.67/1.08 ( inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(multiply(inverse(X1),multiply(multiply(inverse(X3),X4),inverse(multiply(X5,multiply(X6,X4))))),X5)),X6)))) = X3 ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.67/1.08 [weight('<755,4,15,[0,0,0,0]>')]).
% 0.67/1.08 cnf('0.16.1.1',plain,
% 0.67/1.08 ( multiply(c3,multiply(c3,multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(X3),multiply(c3,c3)))))) = X3 ),
% 0.67/1.08 inference(reduction,[status(thm)],['0.16.1.0','0.15.2.2',theory(equality)]),
% 0.67/1.08 [pos('L','R')]).
% 0.67/1.08 cnf('0.16.2.0',plain,
% 0.67/1.08 ( multiply(c3,multiply(c3,multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(X1),multiply(c3,c3)))))) = X1 ),
% 0.67/1.08 inference(orient,[status(thm)],['0.16.1.1',theory(equality)]),
% 0.67/1.08 [u,rule_15]).
% 0.67/1.08 cnf('0.19.0.0',plain,
% 0.67/1.08 ( multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(X4,multiply(X1,X3)))))) = multiply(X5,multiply(X6,multiply(multiply(inverse(X6),X7),inverse(multiply(X4,multiply(X5,X7)))))) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.15.2.0','0.15.2.0',theory(equality)]),
% 0.67/1.08 [pos('R','R')]).
% 0.67/1.08 cnf('0.19.1.0',plain,
% 0.67/1.08 ( multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(X4,multiply(X1,X3)))))) = multiply(X5,multiply(X6,multiply(multiply(inverse(X6),X7),inverse(multiply(X4,multiply(X5,X7)))))) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.67/1.08 [weight('<960,15,15,[1,1,1,0]>')]).
% 0.67/1.08 cnf('0.19.2.0',plain,
% 0.67/1.08 ( multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(X4,multiply(X1,X3)))))) = multiply(X5,multiply(X6,multiply(multiply(inverse(X6),X7),inverse(multiply(X4,multiply(X5,X7)))))) ),
% 0.67/1.08 inference(activate,[status(thm)],['0.19.1.0']),
% 0.67/1.08 [equation_2]).
% 0.67/1.08 cnf('0.19.2.1',plain,
% 0.67/1.08 ( multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(X4,multiply(X1,X3)))))) = multiply(c3,multiply(c3,multiply(multiply(inverse(c3),c3),inverse(multiply(X4,multiply(c3,c3)))))) ),
% 0.67/1.08 inference(instr,[status(thm)],['0.19.2.0',theory(equality)])).
% 0.67/1.08 cnf('0.19.2.2',plain,
% 0.67/1.08 ( multiply(c3,multiply(c3,multiply(multiply(inverse(c3),c3),inverse(multiply(X4,multiply(c3,c3)))))) = multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(X4,multiply(X1,X3)))))) ),
% 0.67/1.08 inference(instl,[status(thm)],['0.19.2.0',theory(equality)])).
% 0.67/1.08 cnf('0.20.0.0',plain,
% 0.67/1.08 ( multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(inverse(X4),multiply(X1,X3)))))) = X4 ),
% 0.67/1.08 inference(cp,[status(thm)],['0.19.2.0','0.16.2.0',theory(equality)]),
% 0.67/1.08 [pos('L','L')]).
% 0.67/1.08 cnf('0.20.1.0',plain,
% 0.67/1.08 ( multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(inverse(X4),multiply(X1,X3)))))) = X4 ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.67/1.08 [weight('<305,19,16,[1,0,0,0]>')]).
% 0.67/1.08 cnf('0.20.2.0',plain,
% 0.67/1.08 ( multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(inverse(X4),multiply(X1,X3)))))) = X4 ),
% 0.67/1.08 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.67/1.08 [u,rule_18]).
% 0.67/1.08 cnf('0.22.0.0',plain,
% 0.67/1.08 ( X1 = inverse(multiply(X2,multiply(X3,multiply(X4,inverse(multiply(X1,multiply(X2,multiply(X5,multiply(multiply(inverse(X5),X6),inverse(multiply(inverse(X4),multiply(inverse(X3),X6)))))))))))) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.1.2.0','0.20.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.1.2.2.1','L')]).
% 0.67/1.08 cnf('0.22.1.0',plain,
% 0.67/1.08 ( X1 = inverse(multiply(X2,multiply(X3,multiply(X4,inverse(multiply(X1,multiply(X2,multiply(X5,multiply(multiply(inverse(X5),X6),inverse(multiply(inverse(X4),multiply(inverse(X3),X6)))))))))))) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.67/1.08 [weight('<811,20,1,[0,0,0,6]>')]).
% 0.67/1.08 cnf('0.22.2.0',plain,
% 0.67/1.08 ( inverse(multiply(X1,multiply(X2,multiply(X3,inverse(multiply(X4,multiply(X1,multiply(X5,multiply(multiply(inverse(X5),X6),inverse(multiply(inverse(X3),multiply(inverse(X2),X6)))))))))))) = X4 ),
% 0.67/1.08 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.67/1.08 [x,rule_20]).
% 0.67/1.08 cnf('0.23.0.0',plain,
% 0.67/1.08 ( X1 = inverse(multiply(inverse(X2),multiply(X2,multiply(X3,inverse(multiply(X1,multiply(X4,multiply(X5,multiply(multiply(inverse(X5),X6),inverse(multiply(inverse(X3),multiply(X4,X6)))))))))))) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.22.2.0','0.19.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.1.2.2.2.1.2','L')]).
% 0.67/1.08 cnf('0.23.0.1',plain,
% 0.67/1.08 ( X1 = inverse(multiply(inverse(X2),multiply(X2,multiply(X3,inverse(multiply(X1,X3)))))) ),
% 0.67/1.08 inference(reduction,[status(thm)],['0.23.0.0','0.20.2.0',theory(equality)]),
% 0.67/1.08 [pos('R.1.2.2.2.1.2','L')]).
% 0.67/1.08 cnf('0.23.1.0',plain,
% 0.67/1.08 ( X1 = inverse(multiply(inverse(X2),multiply(X2,multiply(X3,inverse(multiply(X1,X3)))))) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.23.0.1']),
% 0.67/1.08 [weight('<181,22,19,[1,0,0,10]>')]).
% 0.67/1.08 cnf('0.23.2.0',plain,
% 0.67/1.08 ( inverse(multiply(inverse(X1),multiply(X1,multiply(X2,inverse(multiply(X3,X2)))))) = X3 ),
% 0.67/1.08 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.67/1.08 [x,rule_21]).
% 0.67/1.08 cnf('0.24.0.0',plain,
% 0.67/1.08 ( multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(inverse(X4),multiply(X1,X3)))))) = multiply(X4,multiply(X5,multiply(multiply(inverse(X5),multiply(X6,inverse(multiply(X7,X6)))),X7))) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.19.2.0','0.23.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.2.2.2','L')]).
% 0.67/1.08 cnf('0.24.0.1',plain,
% 0.67/1.08 ( X4 = multiply(X4,multiply(X5,multiply(multiply(inverse(X5),multiply(X6,inverse(multiply(X7,X6)))),X7))) ),
% 0.67/1.08 inference(reduction,[status(thm)],['0.24.0.0','0.20.2.0',theory(equality)]),
% 0.67/1.08 [pos('L','L')]).
% 0.67/1.08 cnf('0.24.1.0',plain,
% 0.67/1.08 ( X4 = multiply(X4,multiply(X5,multiply(multiply(inverse(X5),multiply(X6,inverse(multiply(X7,X6)))),X7))) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.24.0.1']),
% 0.67/1.08 [weight('<271,23,19,[0,0,0,9]>')]).
% 0.67/1.08 cnf('0.24.2.0',plain,
% 0.67/1.08 ( multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(X3,inverse(multiply(X4,X3)))),X4))) = X1 ),
% 0.67/1.08 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.67/1.08 [x,rule_22]).
% 0.67/1.08 cnf('0.25.0.0',plain,
% 0.67/1.08 ( X1 = inverse(multiply(X2,multiply(X3,multiply(inverse(X3),inverse(multiply(X1,multiply(X2,multiply(X4,multiply(multiply(inverse(X4),multiply(X5,inverse(multiply(X6,X5)))),X6))))))))) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.1.2.0','0.24.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.1.2.2.1','L')]).
% 0.67/1.08 cnf('0.25.0.1',plain,
% 0.67/1.08 ( X1 = inverse(multiply(X2,multiply(X3,multiply(inverse(X3),inverse(multiply(X1,X2)))))) ),
% 0.67/1.08 inference(reduction,[status(thm)],['0.25.0.0','0.24.2.0',theory(equality)]),
% 0.67/1.08 [pos('R.1.2.2.2.1.2','L')]).
% 0.67/1.08 cnf('0.25.1.0',plain,
% 0.67/1.08 ( X1 = inverse(multiply(X2,multiply(X3,multiply(inverse(X3),inverse(multiply(X1,X2)))))) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.25.0.1']),
% 0.67/1.08 [weight('<181,24,1,[0,0,0,6]>')]).
% 0.67/1.08 cnf('0.25.2.0',plain,
% 0.67/1.08 ( inverse(multiply(X1,multiply(X2,multiply(inverse(X2),inverse(multiply(X3,X1)))))) = X3 ),
% 0.67/1.08 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.67/1.08 [x,rule_23]).
% 0.67/1.08 cnf('0.26.0.0',plain,
% 0.67/1.08 ( X1 = multiply(X2,multiply(X3,multiply(inverse(X3),inverse(multiply(inverse(X1),multiply(X2,multiply(X4,multiply(multiply(inverse(X4),multiply(X5,inverse(multiply(X6,X5)))),X6)))))))) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.20.2.0','0.24.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.2.2.1','L')]).
% 0.67/1.08 cnf('0.26.0.1',plain,
% 0.67/1.08 ( X1 = multiply(X2,multiply(X3,multiply(inverse(X3),inverse(multiply(inverse(X1),X2))))) ),
% 0.67/1.08 inference(reduction,[status(thm)],['0.26.0.0','0.24.2.0',theory(equality)]),
% 0.67/1.08 [pos('R.2.2.2.1.2','L')]).
% 0.67/1.08 cnf('0.26.1.0',plain,
% 0.67/1.08 ( X1 = multiply(X2,multiply(X3,multiply(inverse(X3),inverse(multiply(inverse(X1),X2))))) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.26.0.1']),
% 0.67/1.08 [weight('<181,24,20,[0,0,0,5]>')]).
% 0.67/1.08 cnf('0.26.2.0',plain,
% 0.67/1.08 ( multiply(X1,multiply(X2,multiply(inverse(X2),inverse(multiply(inverse(X3),X1))))) = X3 ),
% 0.67/1.08 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.67/1.08 [x,rule_24]).
% 0.67/1.08 cnf('0.27.0.0',plain,
% 0.67/1.08 ( X1 = multiply(multiply(X1,multiply(X2,inverse(multiply(X3,X2)))),multiply(X4,multiply(inverse(X4),X3))) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.26.2.0','0.23.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.2.2.2','L')]).
% 0.67/1.08 cnf('0.27.1.0',plain,
% 0.67/1.08 ( X1 = multiply(multiply(X1,multiply(X2,inverse(multiply(X3,X2)))),multiply(X4,multiply(inverse(X4),X3))) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.67/1.08 [weight('<271,26,23,[1,0,0,7]>')]).
% 0.67/1.08 cnf('0.27.2.0',plain,
% 0.67/1.08 ( multiply(multiply(X1,multiply(X2,inverse(multiply(X3,X2)))),multiply(X4,multiply(inverse(X4),X3))) = X1 ),
% 0.67/1.08 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.67/1.08 [x,rule_25]).
% 0.67/1.08 cnf('0.33.0.0',plain,
% 0.67/1.08 ( X1 = inverse(multiply(multiply(X2,multiply(inverse(X2),inverse(multiply(X3,X1)))),multiply(X4,multiply(inverse(X4),X3)))) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.25.2.0','0.25.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.1.2.2.2','L')]).
% 0.67/1.08 cnf('0.33.1.0',plain,
% 0.67/1.08 ( X1 = inverse(multiply(multiply(X2,multiply(inverse(X2),inverse(multiply(X3,X1)))),multiply(X4,multiply(inverse(X4),X3)))) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.33.0.0']),
% 0.67/1.08 [weight('<341,25,25,[0,0,0,8]>')]).
% 0.67/1.08 cnf('0.33.2.0',plain,
% 0.67/1.08 ( inverse(multiply(multiply(X1,multiply(inverse(X1),inverse(multiply(X2,X3)))),multiply(X4,multiply(inverse(X4),X2)))) = X3 ),
% 0.67/1.08 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.67/1.08 [x,rule_31]).
% 0.67/1.08 cnf('0.37.0.0',plain,
% 0.67/1.08 ( X1 = multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(multiply(X3,multiply(inverse(X3),inverse(multiply(X4,X5)))),X4)),X5))) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.24.2.0','0.25.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.2.2.1.2.2','L')]).
% 0.67/1.08 cnf('0.37.1.0',plain,
% 0.67/1.08 ( X1 = multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(multiply(X3,multiply(inverse(X3),inverse(multiply(X4,X5)))),X4)),X5))) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.37.0.0']),
% 0.67/1.08 [weight('<461,25,24,[0,0,0,10]>')]).
% 0.67/1.08 cnf('0.37.2.0',plain,
% 0.67/1.08 ( multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(multiply(X3,multiply(inverse(X3),inverse(multiply(X4,X5)))),X4)),X5))) = X1 ),
% 0.67/1.08 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.67/1.08 [x,rule_35]).
% 0.67/1.08 cnf('0.38.0.0',plain,
% 0.67/1.08 ( X1 = multiply(X1,multiply(X2,multiply(inverse(X2),multiply(multiply(X3,multiply(inverse(X3),inverse(multiply(X4,multiply(X5,multiply(multiply(inverse(X5),multiply(X6,inverse(multiply(X7,X6)))),X7)))))),X4)))) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.37.2.0','0.24.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.2.2','L')]).
% 0.67/1.08 cnf('0.38.0.1',plain,
% 0.67/1.08 ( X1 = multiply(X1,multiply(X2,multiply(inverse(X2),multiply(multiply(X3,multiply(inverse(X3),inverse(X4))),X4)))) ),
% 0.67/1.08 inference(reduction,[status(thm)],['0.38.0.0','0.24.2.0',theory(equality)]),
% 0.67/1.08 [pos('R.2.2.2.1.2.2.1','L')]).
% 0.67/1.08 cnf('0.38.1.0',plain,
% 0.67/1.08 ( X1 = multiply(X1,multiply(X2,multiply(inverse(X2),multiply(multiply(X3,multiply(inverse(X3),inverse(X4))),X4)))) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.38.0.1']),
% 0.67/1.08 [weight('<305,37,24,[1,0,0,4]>')]).
% 0.67/1.08 cnf('0.38.2.0',plain,
% 0.67/1.08 ( multiply(X1,multiply(X2,multiply(inverse(X2),multiply(multiply(X3,multiply(inverse(X3),inverse(X4))),X4)))) = X1 ),
% 0.67/1.08 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.67/1.08 [x,rule_36]).
% 0.67/1.08 cnf('0.39.0.0',plain,
% 0.67/1.08 ( multiply(X1,multiply(X2,inverse(multiply(multiply(multiply(X3,multiply(inverse(X3),inverse(X4))),X4),X2)))) = X1 ),
% 0.67/1.08 inference(cp,[status(thm)],['0.38.2.0','0.27.2.0',theory(equality)]),
% 0.67/1.08 [pos('L','L')]).
% 0.67/1.08 cnf('0.39.1.0',plain,
% 0.67/1.08 ( multiply(X1,multiply(X2,inverse(multiply(multiply(multiply(X3,multiply(inverse(X3),inverse(X4))),X4),X2)))) = X1 ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.39.0.0']),
% 0.67/1.08 [weight('<305,38,27,[1,0,0,0]>')]).
% 0.67/1.08 cnf('0.39.2.0',plain,
% 0.67/1.08 ( multiply(X1,multiply(X2,inverse(multiply(multiply(multiply(X3,multiply(inverse(X3),inverse(X4))),X4),X2)))) = X1 ),
% 0.67/1.08 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.67/1.08 [u,rule_37]).
% 0.67/1.08 cnf('0.40.0.0',plain,
% 0.67/1.08 ( multiply(multiply(X1,multiply(inverse(X1),inverse(X2))),X2) = inverse(multiply(inverse(X3),X3)) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.1.2.0','0.39.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.1.2','L')]).
% 0.67/1.08 cnf('0.40.1.0',plain,
% 0.67/1.08 ( multiply(multiply(X1,multiply(inverse(X1),inverse(X2))),X2) = inverse(multiply(inverse(X3),X3)) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.40.0.0']),
% 0.67/1.08 [weight('<224,39,1,[0,0,0,3]>')]).
% 0.67/1.08 cnf('0.40.2.0',plain,
% 0.67/1.08 ( multiply(multiply(X1,multiply(inverse(X1),inverse(X2))),X2) = inverse(multiply(inverse(X3),X3)) ),
% 0.67/1.08 inference(activate,[status(thm)],['0.40.1.0']),
% 0.67/1.08 [equation_3]).
% 0.67/1.08 cnf('0.40.2.1',plain,
% 0.67/1.08 ( multiply(multiply(X1,multiply(inverse(X1),inverse(X2))),X2) = inverse(multiply(inverse(c3),c3)) ),
% 0.67/1.08 inference(instr,[status(thm)],['0.40.2.0',theory(equality)])).
% 0.67/1.08 cnf('0.40.2.2',plain,
% 0.67/1.08 ( multiply(multiply(c3,multiply(inverse(c3),inverse(c3))),c3) = inverse(multiply(inverse(X1),X1)) ),
% 0.67/1.08 inference(instl,[status(thm)],['0.40.2.0',theory(equality)])).
% 0.67/1.08 cnf('0.41.0.0',plain,
% 0.67/1.08 ( multiply(inverse(X1),X1) = inverse(inverse(multiply(inverse(X2),X2))) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.33.2.0','0.40.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.1','L')]).
% 0.67/1.08 cnf('0.41.1.0',plain,
% 0.67/1.08 ( multiply(inverse(X1),X1) = inverse(inverse(multiply(inverse(X2),X2))) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.41.0.0']),
% 0.67/1.08 [weight('<120,40,33,[0,0,0,1]>')]).
% 0.67/1.08 cnf('0.41.2.0',plain,
% 0.67/1.08 ( multiply(inverse(X1),X1) = inverse(inverse(multiply(inverse(X2),X2))) ),
% 0.67/1.08 inference(activate,[status(thm)],['0.41.1.0']),
% 0.67/1.08 [equation_4]).
% 0.67/1.08 cnf('0.41.2.1',plain,
% 0.67/1.08 ( multiply(inverse(X1),X1) = inverse(inverse(multiply(inverse(c3),c3))) ),
% 0.67/1.08 inference(instr,[status(thm)],['0.41.2.0',theory(equality)])).
% 0.67/1.08 cnf('0.41.2.2',plain,
% 0.67/1.08 ( multiply(inverse(c3),c3) = inverse(inverse(multiply(inverse(X1),X1))) ),
% 0.67/1.08 inference(instl,[status(thm)],['0.41.2.0',theory(equality)])).
% 0.67/1.08 cnf('0.42.0.0',plain,
% 0.67/1.08 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.41.2.0','0.41.2.0',theory(equality)]),
% 0.67/1.08 [pos('R','R')]).
% 0.67/1.08 cnf('0.42.1.0',plain,
% 0.67/1.08 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.42.0.0']),
% 0.67/1.08 [weight('<80,41,41,[1,1,1,0]>')]).
% 0.67/1.08 cnf('0.42.2.0',plain,
% 0.67/1.08 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 0.67/1.08 inference(activate,[status(thm)],['0.42.1.0']),
% 0.67/1.08 [equation_5]).
% 0.67/1.08 cnf('0.42.2.1',plain,
% 0.67/1.08 ( multiply(inverse(X1),X1) = multiply(inverse(c3),c3) ),
% 0.67/1.08 inference(instr,[status(thm)],['0.42.2.0',theory(equality)])).
% 0.67/1.08 cnf('0.42.2.2',plain,
% 0.67/1.08 ( multiply(inverse(c3),c3) = multiply(inverse(X1),X1) ),
% 0.67/1.08 inference(instl,[status(thm)],['0.42.2.0',theory(equality)])).
% 0.67/1.08 cnf('0.43.0.0',plain,
% 0.67/1.08 ( X1 = inverse(multiply(X2,multiply(inverse(multiply(X1,X2)),multiply(inverse(X3),X3)))) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.25.2.0','0.42.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.1.2.2','L')]).
% 0.67/1.08 cnf('0.43.1.0',plain,
% 0.67/1.08 ( X1 = inverse(multiply(X2,multiply(inverse(multiply(X1,X2)),multiply(inverse(X3),X3)))) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.43.0.0']),
% 0.67/1.08 [weight('<181,42,25,[0,0,0,5]>')]).
% 0.67/1.08 cnf('0.43.2.0',plain,
% 0.67/1.08 ( inverse(multiply(X1,multiply(inverse(multiply(X2,X1)),multiply(inverse(X3),X3)))) = X2 ),
% 0.67/1.08 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.67/1.08 [x,rule_38]).
% 0.67/1.08 cnf('0.44.0.0',plain,
% 0.67/1.08 ( inverse(X1) = inverse(multiply(X1,multiply(inverse(X2),X2))) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.43.2.0','0.42.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.1.2','L')]).
% 0.67/1.08 cnf('0.44.1.0',plain,
% 0.67/1.08 ( inverse(X1) = inverse(multiply(X1,multiply(inverse(X2),X2))) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.44.0.0']),
% 0.67/1.08 [weight('<79,43,42,[1,0,0,3]>')]).
% 0.67/1.08 cnf('0.44.2.0',plain,
% 0.67/1.08 ( inverse(multiply(X1,multiply(inverse(X2),X2))) = inverse(X1) ),
% 0.67/1.08 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.67/1.08 [x,rule_39]).
% 0.67/1.08 cnf('0.45.0.0',plain,
% 0.67/1.08 ( multiply(X1,multiply(inverse(X2),X2)) = inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),multiply(multiply(inverse(X3),multiply(multiply(inverse(X1),multiply(multiply(inverse(X5),X6),inverse(multiply(X7,multiply(X8,X6))))),X7)),X8)),X5)))) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.5.2.0','0.44.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.1.2.2.1.2.1.2.1.1','L')]).
% 0.67/1.08 cnf('0.45.0.1',plain,
% 0.67/1.08 ( multiply(X1,multiply(inverse(X2),X2)) = X1 ),
% 0.67/1.08 inference(reduction,[status(thm)],['0.45.0.0','0.5.2.0',theory(equality)]),
% 0.67/1.08 [pos('R','L')]).
% 0.67/1.08 cnf('0.45.1.0',plain,
% 0.67/1.08 ( multiply(X1,multiply(inverse(X2),X2)) = X1 ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.45.0.1']),
% 0.67/1.08 [weight('<55,44,5,[0,0,0,15]>')]).
% 0.67/1.08 cnf('0.45.2.0',plain,
% 0.67/1.08 ( multiply(X1,multiply(inverse(X2),X2)) = X1 ),
% 0.67/1.08 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.67/1.08 [u,rule_40]).
% 0.67/1.08 cnf('0.46.0.0',plain,
% 0.67/1.08 ( inverse(multiply(X1,multiply(inverse(multiply(X2,X1)),multiply(inverse(X3),X3)))) = X2 ),
% 0.67/1.08 inference(interreduction_right,[status(thm)],['0.43.2.0'])).
% 0.67/1.08 cnf('0.46.0.1',plain,
% 0.67/1.08 ( inverse(multiply(X1,inverse(multiply(X2,X1)))) = X2 ),
% 0.67/1.08 inference(reduction,[status(thm)],['0.46.0.0','0.45.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.1.2','L')]).
% 0.67/1.08 cnf('0.46.1.0',plain,
% 0.67/1.08 ( inverse(multiply(X1,inverse(multiply(X2,X1)))) = X2 ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.46.0.1']),
% 0.67/1.08 [weight('<71,43,45,[0,0,0,0]>')]).
% 0.67/1.08 cnf('0.46.2.0',plain,
% 0.67/1.08 ( inverse(multiply(X1,inverse(multiply(X2,X1)))) = X2 ),
% 0.67/1.08 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.67/1.08 [u,rule_41]).
% 0.67/1.08 cnf('0.47.0.0',plain,
% 0.67/1.08 ( X1 = multiply(X2,inverse(multiply(inverse(X1),X2))) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.26.2.0','0.45.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.2','L')]).
% 0.67/1.08 cnf('0.47.1.0',plain,
% 0.67/1.08 ( X1 = multiply(X2,inverse(multiply(inverse(X1),X2))) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.47.0.0']),
% 0.67/1.08 [weight('<71,45,26,[0,0,0,2]>')]).
% 0.67/1.08 cnf('0.47.2.0',plain,
% 0.67/1.08 ( multiply(X1,inverse(multiply(inverse(X2),X1))) = X2 ),
% 0.67/1.08 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.67/1.08 [x,rule_42]).
% 0.67/1.08 cnf('0.48.0.0',plain,
% 0.67/1.08 ( multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(inverse(X4),multiply(X1,X3)))))) = multiply(inverse(X5),multiply(X5,X4)) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.19.2.0','0.47.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.2.2','L')]).
% 0.67/1.08 cnf('0.48.0.1',plain,
% 0.67/1.08 ( X4 = multiply(inverse(X5),multiply(X5,X4)) ),
% 0.67/1.08 inference(reduction,[status(thm)],['0.48.0.0','0.20.2.0',theory(equality)]),
% 0.67/1.08 [pos('L','L')]).
% 0.67/1.08 cnf('0.48.1.0',plain,
% 0.67/1.08 ( X4 = multiply(inverse(X5),multiply(X5,X4)) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.48.0.1']),
% 0.67/1.08 [weight('<55,47,19,[0,0,0,4]>')]).
% 0.67/1.08 cnf('0.48.2.0',plain,
% 0.67/1.08 ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 0.67/1.08 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 0.67/1.08 [x,rule_43]).
% 0.67/1.08 cnf('0.49.0.0',plain,
% 0.67/1.08 ( X1 = multiply(inverse(inverse(X1)),multiply(inverse(X2),X2)) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.48.2.0','0.42.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.2','L')]).
% 0.67/1.08 cnf('0.49.0.1',plain,
% 0.67/1.08 ( X1 = inverse(inverse(X1)) ),
% 0.67/1.08 inference(reduction,[status(thm)],['0.49.0.0','0.45.2.0',theory(equality)]),
% 0.67/1.08 [pos('R','L')]).
% 0.67/1.08 cnf('0.49.1.0',plain,
% 0.67/1.08 ( X1 = inverse(inverse(X1)) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.49.0.1']),
% 0.67/1.08 [weight('<19,48,42,[1,0,0,3]>')]).
% 0.67/1.08 cnf('0.49.2.0',plain,
% 0.67/1.08 ( inverse(inverse(X1)) = X1 ),
% 0.67/1.08 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.67/1.08 [x,rule_44]).
% 0.67/1.08 cnf('0.50.0.0',plain,
% 0.67/1.08 ( X1 = multiply(multiply(X1,X2),inverse(X2)) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.47.2.0','0.48.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.2.1','L')]).
% 0.67/1.08 cnf('0.50.1.0',plain,
% 0.67/1.08 ( X1 = multiply(multiply(X1,X2),inverse(X2)) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.50.0.0']),
% 0.67/1.08 [weight('<55,48,47,[0,0,0,3]>')]).
% 0.67/1.08 cnf('0.50.2.0',plain,
% 0.67/1.08 ( multiply(multiply(X1,X2),inverse(X2)) = X1 ),
% 0.67/1.08 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 0.67/1.08 [x,rule_45]).
% 0.67/1.08 cnf('0.51.0.0',plain,
% 0.67/1.08 ( X1 = multiply(X1,multiply(X2,inverse(X2))) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.45.2.0','0.49.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.2.1','L')]).
% 0.67/1.08 cnf('0.51.1.0',plain,
% 0.67/1.08 ( X1 = multiply(X1,multiply(X2,inverse(X2))) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.51.0.0']),
% 0.67/1.08 [weight('<55,49,45,[0,0,0,3]>')]).
% 0.67/1.08 cnf('0.51.2.0',plain,
% 0.67/1.08 ( multiply(X1,multiply(X2,inverse(X2))) = X1 ),
% 0.67/1.08 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 0.67/1.08 [x,rule_46]).
% 0.67/1.08 cnf('0.54.0.0',plain,
% 0.67/1.08 ( X1 = multiply(multiply(X1,inverse(X2)),X2) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.50.2.0','0.49.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.2','L')]).
% 0.67/1.08 cnf('0.54.1.0',plain,
% 0.67/1.08 ( X1 = multiply(multiply(X1,inverse(X2)),X2) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.54.0.0']),
% 0.67/1.08 [weight('<55,50,49,[1,0,0,4]>')]).
% 0.67/1.08 cnf('0.54.2.0',plain,
% 0.67/1.08 ( multiply(multiply(X1,inverse(X2)),X2) = X1 ),
% 0.67/1.08 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 0.67/1.08 [x,rule_49]).
% 0.67/1.08 cnf('0.55.0.0',plain,
% 0.67/1.08 ( X1 = multiply(multiply(X2,inverse(X2)),inverse(inverse(X1))) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.47.2.0','0.51.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.2.1','L')]).
% 0.67/1.08 cnf('0.55.0.1',plain,
% 0.67/1.08 ( X1 = multiply(multiply(X2,inverse(X2)),X1) ),
% 0.67/1.08 inference(reduction,[status(thm)],['0.55.0.0','0.49.2.0',theory(equality)]),
% 0.67/1.08 [pos('R.2','L')]).
% 0.67/1.08 cnf('0.55.1.0',plain,
% 0.67/1.08 ( X1 = multiply(multiply(X2,inverse(X2)),X1) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.55.0.1']),
% 0.67/1.08 [weight('<55,51,47,[0,0,0,3]>')]).
% 0.67/1.08 cnf('0.55.2.0',plain,
% 0.67/1.08 ( multiply(multiply(X1,inverse(X1)),X2) = X2 ),
% 0.67/1.08 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 0.67/1.08 [x,rule_50]).
% 0.67/1.08 cnf('0.57.0.0',plain,
% 0.67/1.08 ( inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.48.2.0','0.47.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.2','L')]).
% 0.67/1.08 cnf('0.57.1.0',plain,
% 0.67/1.08 ( inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.57.0.0']),
% 0.67/1.08 [weight('<59,48,47,[1,0,0,3]>')]).
% 0.67/1.08 cnf('0.57.2.0',plain,
% 0.67/1.08 ( inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1) ),
% 0.67/1.08 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 0.67/1.08 [u,rule_52]).
% 0.67/1.08 cnf('0.58.0.0',plain,
% 0.67/1.08 ( multiply(X1,inverse(X2)) = inverse(multiply(X2,inverse(X1))) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.46.2.0','0.54.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.1.2.1','L')]).
% 0.67/1.08 cnf('0.58.1.0',plain,
% 0.67/1.08 ( multiply(X1,inverse(X2)) = inverse(multiply(X2,inverse(X1))) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.58.0.0']),
% 0.67/1.08 [weight('<59,54,46,[0,0,0,4]>')]).
% 0.67/1.08 cnf('0.58.2.0',plain,
% 0.67/1.08 ( inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)) ),
% 0.67/1.08 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 0.67/1.08 [x,rule_53]).
% 0.67/1.08 cnf('0.59.0.0',plain,
% 0.67/1.08 ( multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.57.2.0','0.49.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.1.1','L')]).
% 0.67/1.08 cnf('0.59.1.0',plain,
% 0.67/1.08 ( multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.59.0.0']),
% 0.67/1.08 [weight('<59,57,49,[1,0,0,2]>')]).
% 0.67/1.08 cnf('0.59.2.0',plain,
% 0.67/1.08 ( multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)) ),
% 0.67/1.08 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 0.67/1.08 [u,rule_54]).
% 0.67/1.08 cnf('0.60.0.0',plain,
% 0.67/1.08 ( inverse(X1) = multiply(inverse(multiply(X2,X1)),X2) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.48.2.0','0.50.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.2','L')]).
% 0.67/1.08 cnf('0.60.1.0',plain,
% 0.67/1.08 ( inverse(X1) = multiply(inverse(multiply(X2,X1)),X2) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.60.0.0']),
% 0.67/1.08 [weight('<62,50,48,[0,0,0,3]>')]).
% 0.67/1.08 cnf('0.60.2.0',plain,
% 0.67/1.08 ( multiply(inverse(multiply(X1,X2)),X1) = inverse(X2) ),
% 0.67/1.08 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 0.67/1.08 [x,rule_55]).
% 0.67/1.08 cnf('0.68.0.0',plain,
% 0.67/1.08 ( multiply(multiply(X1,inverse(X2)),inverse(X3)) = inverse(multiply(X3,multiply(X2,inverse(X1)))) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.58.2.0','0.58.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.1.2','L')]).
% 0.67/1.08 cnf('0.68.1.0',plain,
% 0.67/1.08 ( multiply(multiply(X1,inverse(X2)),inverse(X3)) = inverse(multiply(X3,multiply(X2,inverse(X1)))) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.68.0.0']),
% 0.67/1.08 [weight('<119,58,58,[0,0,0,3]>')]).
% 0.67/1.08 cnf('0.68.2.0',plain,
% 0.67/1.08 ( inverse(multiply(X1,multiply(X2,inverse(X3)))) = multiply(multiply(X3,inverse(X2)),inverse(X1)) ),
% 0.67/1.08 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 0.67/1.08 [x,rule_60]).
% 0.67/1.08 cnf('0.69.0.0',plain,
% 0.67/1.08 ( X1 = inverse(multiply(X2,multiply(X3,inverse(multiply(X1,multiply(X2,inverse(inverse(X3)))))))) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.1.2.0','0.55.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.1.2.2','L')]).
% 0.67/1.08 cnf('0.69.0.1',plain,
% 0.67/1.08 ( X1 = inverse(multiply(X2,multiply(X3,inverse(multiply(X1,multiply(X2,X3)))))) ),
% 0.67/1.08 inference(reduction,[status(thm)],['0.69.0.0','0.49.2.0',theory(equality)]),
% 0.67/1.08 [pos('R.1.2.2.1.2.2','L')]).
% 0.67/1.08 cnf('0.69.1.0',plain,
% 0.67/1.08 ( X1 = inverse(multiply(X2,multiply(X3,inverse(multiply(X1,multiply(X2,X3)))))) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.69.0.1']),
% 0.67/1.08 [weight('<155,55,1,[0,0,0,5]>')]).
% 0.67/1.08 cnf('0.69.1.1',plain,
% 0.67/1.08 ( X1 = multiply(multiply(multiply(X1,multiply(X2,X3)),inverse(X3)),inverse(X2)) ),
% 0.67/1.08 inference(reduction,[status(thm)],['0.69.1.0','0.68.2.0',theory(equality)]),
% 0.67/1.08 [pos('R','L')]).
% 0.67/1.08 cnf('0.69.2.0',plain,
% 0.67/1.08 ( multiply(multiply(multiply(X1,multiply(X2,X3)),inverse(X3)),inverse(X2)) = X1 ),
% 0.67/1.08 inference(orient,[status(thm)],['0.69.1.1',theory(equality)]),
% 0.67/1.08 [x,rule_61]).
% 0.67/1.08 cnf('0.70.0.0',plain,
% 0.67/1.08 ( inverse(multiply(multiply(X1,X2),X3)) = multiply(multiply(inverse(X3),inverse(X2)),inverse(X1)) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.69.2.0','0.60.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.1.1','L')]).
% 0.67/1.08 cnf('0.70.0.1',plain,
% 0.67/1.08 ( inverse(multiply(multiply(X1,X2),X3)) = multiply(inverse(multiply(X2,X3)),inverse(X1)) ),
% 0.67/1.08 inference(reduction,[status(thm)],['0.70.0.0','0.59.2.0',theory(equality)]),
% 0.67/1.08 [pos('R.1','L')]).
% 0.67/1.08 cnf('0.70.0.2',plain,
% 0.67/1.08 ( inverse(multiply(multiply(X1,X2),X3)) = inverse(multiply(X1,multiply(X2,X3))) ),
% 0.67/1.08 inference(reduction,[status(thm)],['0.70.0.1','0.59.2.0',theory(equality)]),
% 0.67/1.08 [pos('R','L')]).
% 0.67/1.08 cnf('0.70.1.0',plain,
% 0.67/1.08 ( inverse(multiply(multiply(X1,X2),X3)) = inverse(multiply(X1,multiply(X2,X3))) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.70.0.2']),
% 0.67/1.08 [weight('<90,69,60,[1,0,0,2]>')]).
% 0.67/1.08 cnf('0.70.2.0',plain,
% 0.67/1.08 ( inverse(multiply(multiply(X1,X2),X3)) = inverse(multiply(X1,multiply(X2,X3))) ),
% 0.67/1.08 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 0.67/1.08 [u,rule_62]).
% 0.67/1.08 cnf('0.71.0.0',plain,
% 0.67/1.08 ( multiply(multiply(X1,X2),X3) = inverse(multiply(X4,multiply(X5,multiply(multiply(inverse(X5),multiply(multiply(inverse(X4),multiply(multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(multiply(inverse(X6),X7),inverse(multiply(X8,multiply(X9,X7))))),X8)),X9)),X6)))) ),
% 0.67/1.08 inference(cp,[status(thm)],['0.5.2.0','0.70.2.0',theory(equality)]),
% 0.67/1.08 [pos('L.1.2.2.1.2.1.2.1.1','L')]).
% 0.67/1.08 cnf('0.71.0.1',plain,
% 0.67/1.08 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.67/1.08 inference(reduction,[status(thm)],['0.71.0.0','0.5.2.0',theory(equality)]),
% 0.67/1.08 [pos('R','L')]).
% 0.67/1.08 cnf('0.71.1.0',plain,
% 0.67/1.08 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.67/1.08 inference(weigh,[status(thm)],['0.71.0.1']),
% 0.67/1.08 [weight('<65,70,5,[0,0,0,15]>')]).
% 0.67/1.08 cnf('0.71.2.0',plain,
% 0.67/1.08 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.67/1.08 inference(orient,[status(thm)],['0.71.1.0',theory(equality)]),
% 0.67/1.08 [u,rule_63]).
% 0.67/1.08 cnf('1.0.0.0',conjecture,
% 0.67/1.08 ( multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.67/1.08 file('/tmp/WALDMEISTER_14477_n020',conjecture_1)).
% 0.67/1.08 cnf('1.0.0.1',plain,
% 0.67/1.08 ( multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)) ),
% 0.67/1.08 inference(reduction,[status(thm)],['1.0.0.0','0.71.2.0',theory(equality)]),
% 0.67/1.08 [pos('L','L')]).
% 0.67/1.08 cnf('1.0.0.2',plain,
% 0.67/1.08 ( $true ),
% 0.67/1.08 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.67/1.08 [conjecture_1]).
% 0.67/1.08
% 0.67/1.08 Proved Goals:
% 0.67/1.08 No. 1: multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) joined, current: multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3))
% 0.67/1.08 1 goal was specified, which was proved.
% 0.67/1.08 % SZS output end CNFRefutation
% 0.67/1.08 #END OF PROOF
% 0.67/1.08
% 0.67/1.08 Problem WALDMEISTER_14477_n020
% 0.67/1.08 CPs.gen 8298
% 0.67/1.08 CPs.reexp 0
% 0.67/1.08 Select 220
% 0.67/1.08 R 63
% 0.67/1.08 E 8
% 0.67/1.08 vsize 6.4M
% 0.67/1.08 rss 3.8M
% 0.67/1.08 process.time 0.060s
% 0.67/1.08 wallclock.time 0.060s
% 0.67/1.08 status S
% 0.67/1.08
% 0.67/1.08
% 0.67/1.08 Waldmeister states: Goal proved.
% 0.67/1.08 % SZS status Unsatisfiable
%------------------------------------------------------------------------------