TSTP Solution File: GRP425-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP425-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n017.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 12:26:13 EDT 2022
% Result : Unsatisfiable 0.62s 1.04s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP425-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13 % Command : woody %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 14 03:25:23 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.58/0.97 ********************************************************************************
% 0.58/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.97 * |/ | \/ | *
% 0.58/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.97 * A. Jaeger and B. Loechner | | *
% 0.58/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.97 ********************************************************************************
% 0.58/0.97
% 0.58/0.97
% 0.58/0.97 Goals:
% 0.58/0.97 ------
% 0.58/0.97
% 0.58/0.97 ( 1) multiply(multiply(inverse(b2),b2),a2) ?=? a2
% 0.58/0.97
% 0.58/0.97 Detected structure: Orkus
% 0.58/0.97 ********************************************************************************
% 0.58/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.97 ********************************************************************************
% 0.58/0.97
% 0.62/1.04 joined goal: 1 multiply(multiply(inverse(b2),b2),a2) ?= a2 to a2
% 0.62/1.04 goal joined
% 0.62/1.04 % SZS status Unsatisfiable
% 0.62/1.04 #START OF PROOF
% 0.62/1.04 % SZS output start CNFRefutation
% 0.62/1.04 cnf('0.1.0.0',axiom,
% 0.62/1.04 ( X1 = multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X3)))),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X3),X3))) ),
% 0.62/1.04 file('/tmp/WALDMEISTER_13725_n017')).
% 0.62/1.04 cnf('0.1.1.0',plain,
% 0.62/1.04 ( X1 = multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X3)))),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X3),X3))) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.62/1.04 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.1.2.0',plain,
% 0.62/1.04 ( multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X3),X3))) = X2 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_1]).
% 0.62/1.04 cnf('0.2.0.0',plain,
% 0.62/1.04 ( X1 = multiply(inverse(multiply(inverse(X2),multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X1)))),multiply(X3,inverse(X1)))),inverse(X1)))),inverse(multiply(inverse(X1),X1))) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1.1.1.1','L')]).
% 0.62/1.04 cnf('0.2.1.0',plain,
% 0.62/1.04 ( X1 = multiply(inverse(multiply(inverse(X2),multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X1)))),multiply(X3,inverse(X1)))),inverse(X1)))),inverse(multiply(inverse(X1),X1))) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.62/1.04 [weight('<?,1,1,[0,0,0,4]>')]).
% 0.62/1.04 cnf('0.2.2.0',plain,
% 0.62/1.04 ( multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X3)))),multiply(X2,inverse(X3)))),inverse(X3)))),inverse(multiply(inverse(X3),X3))) = X3 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_2]).
% 0.62/1.04 cnf('0.6.0.0',plain,
% 0.62/1.04 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3))) = multiply(inverse(multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(inverse(multiply(inverse(X3),X3)))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1.1.1.1.2.1','L')]).
% 0.62/1.04 cnf('0.6.1.0',plain,
% 0.62/1.04 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3))) = multiply(inverse(multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(inverse(multiply(inverse(X3),X3)))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.62/1.04 [weight('<1848,1,1,[0,0,0,7]>')]).
% 0.62/1.04 cnf('0.6.2.0',plain,
% 0.62/1.04 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3))) = multiply(inverse(multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(inverse(multiply(inverse(X3),X3)))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))) ),
% 0.62/1.04 inference(activate,[status(thm)],['0.6.1.0']),
% 0.62/1.04 [equation_1]).
% 0.62/1.04 cnf('0.6.2.1',plain,
% 0.62/1.04 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3))) = multiply(inverse(multiply(inverse(multiply(b2,inverse(X2))),multiply(b2,inverse(inverse(multiply(inverse(X3),X3)))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))) ),
% 0.62/1.04 inference(instr,[status(thm)],['0.6.2.0',theory(equality)])).
% 0.62/1.04 cnf('0.6.2.2',plain,
% 0.62/1.04 ( multiply(inverse(multiply(b2,inverse(multiply(inverse(X2),X3)))),multiply(b2,inverse(X3))) = multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(inverse(multiply(inverse(X3),X3)))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))) ),
% 0.62/1.04 inference(instl,[status(thm)],['0.6.2.0',theory(equality)])).
% 0.62/1.04 cnf('0.7.0.0',plain,
% 0.62/1.04 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(X3),X3)))),X3)))),multiply(X1,inverse(X3))) = X2 ),
% 0.62/1.04 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.7.1.0',plain,
% 0.62/1.04 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(X3),X3)))),X3)))),multiply(X1,inverse(X3))) = X2 ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.62/1.04 [weight('<461,6,1,[1,1,0,0]>')]).
% 0.62/1.04 cnf('0.7.2.0',plain,
% 0.62/1.04 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(X3),X3)))),X3)))),multiply(X1,inverse(X3))) = X2 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_6]).
% 0.62/1.04 cnf('0.8.0.0',plain,
% 0.62/1.04 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X2),X3)))),multiply(X4,inverse(X3))) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.6.2.0','0.6.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','R')]).
% 0.62/1.04 cnf('0.8.1.0',plain,
% 0.62/1.04 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X2),X3)))),multiply(X4,inverse(X3))) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.62/1.04 [weight('<728,6,6,[1,1,1,0]>')]).
% 0.62/1.04 cnf('0.8.2.0',plain,
% 0.62/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X2),X3)))),multiply(X4,inverse(X3))) ),
% 0.62/1.05 inference(activate,[status(thm)],['0.8.1.0']),
% 0.62/1.05 [equation_2]).
% 0.62/1.05 cnf('0.8.2.1',plain,
% 0.62/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3))) = multiply(inverse(multiply(b2,inverse(multiply(inverse(X2),X3)))),multiply(b2,inverse(X3))) ),
% 0.62/1.05 inference(instr,[status(thm)],['0.8.2.0',theory(equality)])).
% 0.62/1.05 cnf('0.8.2.2',plain,
% 0.62/1.05 ( multiply(inverse(multiply(b2,inverse(multiply(inverse(X2),X3)))),multiply(b2,inverse(X3))) = multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3))) ),
% 0.62/1.05 inference(instl,[status(thm)],['0.8.2.0',theory(equality)])).
% 0.62/1.05 cnf('0.9.0.0',plain,
% 0.62/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X3),inverse(multiply(inverse(X4),X4)))),X4)))),multiply(X2,inverse(X4)))))),multiply(X1,inverse(multiply(X2,inverse(X4))))) = multiply(inverse(multiply(X5,inverse(X3))),multiply(X5,inverse(multiply(X2,inverse(X4))))) ),
% 0.62/1.05 inference(cp,[status(thm)],['0.8.2.0','0.7.2.0',theory(equality)]),
% 0.62/1.05 [pos('L.1.1.2.1','L')]).
% 0.62/1.05 cnf('0.9.0.1',plain,
% 0.62/1.05 ( multiply(inverse(multiply(X1,inverse(X3))),multiply(X1,inverse(multiply(X2,inverse(X4))))) = multiply(inverse(multiply(X5,inverse(X3))),multiply(X5,inverse(multiply(X2,inverse(X4))))) ),
% 0.62/1.05 inference(reduction,[status(thm)],['0.9.0.0','0.7.2.0',theory(equality)]),
% 0.62/1.05 [pos('L.1.1.2.1','L')]).
% 0.62/1.05 cnf('0.9.1.0',plain,
% 0.62/1.05 ( multiply(inverse(multiply(X1,inverse(X3))),multiply(X1,inverse(multiply(X2,inverse(X4))))) = multiply(inverse(multiply(X5,inverse(X3))),multiply(X5,inverse(multiply(X2,inverse(X4))))) ),
% 0.62/1.05 inference(weigh,[status(thm)],['0.9.0.1']),
% 0.62/1.05 [weight('<728,8,7,[1,0,0,5]>')]).
% 0.62/1.05 cnf('0.9.2.0',plain,
% 0.62/1.05 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(X3,inverse(X4))))) = multiply(inverse(multiply(X5,inverse(X2))),multiply(X5,inverse(multiply(X3,inverse(X4))))) ),
% 0.62/1.05 inference(activate,[status(thm)],['0.9.1.0']),
% 0.62/1.05 [equation_3]).
% 0.62/1.05 cnf('0.9.2.1',plain,
% 0.62/1.05 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(X3,inverse(X4))))) = multiply(inverse(multiply(b2,inverse(X2))),multiply(b2,inverse(multiply(X3,inverse(X4))))) ),
% 0.62/1.05 inference(instr,[status(thm)],['0.9.2.0',theory(equality)])).
% 0.62/1.05 cnf('0.9.2.2',plain,
% 0.62/1.05 ( multiply(inverse(multiply(b2,inverse(X2))),multiply(b2,inverse(multiply(X3,inverse(X4))))) = multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(X3,inverse(X4))))) ),
% 0.62/1.05 inference(instl,[status(thm)],['0.9.2.0',theory(equality)])).
% 0.62/1.05 cnf('0.10.0.0',plain,
% 0.62/1.05 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X4),X5)))),multiply(X3,inverse(X5)))),inverse(multiply(inverse(X5),X5)))))) = multiply(inverse(multiply(X6,inverse(X2))),multiply(X6,inverse(X4))) ),
% 0.62/1.05 inference(cp,[status(thm)],['0.9.2.0','0.1.2.0',theory(equality)]),
% 0.62/1.05 [pos('L.2.2.1','L')]).
% 0.62/1.05 cnf('0.10.0.1',plain,
% 0.62/1.05 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X4))) = multiply(inverse(multiply(X6,inverse(X2))),multiply(X6,inverse(X4))) ),
% 0.62/1.05 inference(reduction,[status(thm)],['0.10.0.0','0.1.2.0',theory(equality)]),
% 0.62/1.05 [pos('L.2.2.1','L')]).
% 0.62/1.05 cnf('0.10.1.0',plain,
% 0.62/1.05 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X4))) = multiply(inverse(multiply(X6,inverse(X2))),multiply(X6,inverse(X4))) ),
% 0.62/1.05 inference(weigh,[status(thm)],['0.10.0.1']),
% 0.62/1.05 [weight('<440,9,1,[1,0,0,9]>')]).
% 0.62/1.05 cnf('0.10.2.0',plain,
% 0.62/1.05 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3))) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(X3))) ),
% 0.62/1.05 inference(activate,[status(thm)],['0.10.1.0']),
% 0.62/1.05 [equation_4]).
% 0.62/1.05 cnf('0.10.2.1',plain,
% 0.62/1.05 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3))) = multiply(inverse(multiply(b2,inverse(X2))),multiply(b2,inverse(X3))) ),
% 0.62/1.05 inference(instr,[status(thm)],['0.10.2.0',theory(equality)])).
% 0.62/1.05 cnf('0.10.2.2',plain,
% 0.62/1.05 ( multiply(inverse(multiply(b2,inverse(X2))),multiply(b2,inverse(X3))) = multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3))) ),
% 0.62/1.05 inference(instl,[status(thm)],['0.10.2.0',theory(equality)])).
% 0.62/1.05 cnf('0.11.0.0',plain,
% 0.62/1.05 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(X3),X3)))),X3))) = multiply(inverse(multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(multiply(X1,inverse(X3)))))),inverse(multiply(inverse(multiply(X1,inverse(X3))),multiply(X1,inverse(X3))))) ),
% 0.62/1.05 inference(cp,[status(thm)],['0.1.2.0','0.7.2.0',theory(equality)]),
% 0.62/1.05 [pos('L.1.1.1.1.2.1','L')]).
% 0.62/1.05 cnf('0.11.1.0',plain,
% 0.62/1.05 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(X3),X3)))),X3))) = multiply(inverse(multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(multiply(X1,inverse(X3)))))),inverse(multiply(inverse(multiply(X1,inverse(X3))),multiply(X1,inverse(X3))))) ),
% 0.62/1.05 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.62/1.05 [weight('<1106,7,1,[0,0,0,7]>')]).
% 0.62/1.05 cnf('0.11.2.0',plain,
% 0.62/1.05 ( multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(X3,inverse(X4)))))),inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(X4))))) = multiply(X3,inverse(multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(X4),X4)))),X4))) ),
% 0.62/1.05 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.62/1.05 [x,rule_7]).
% 0.62/1.05 cnf('0.12.0.0',plain,
% 0.62/1.05 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))) = X2 ),
% 0.62/1.05 inference(cp,[status(thm)],['0.11.2.0','0.1.2.0',theory(equality)]),
% 0.62/1.05 [pos('L','L')]).
% 0.62/1.05 cnf('0.12.1.0',plain,
% 0.62/1.05 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))) = X2 ),
% 0.62/1.05 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.62/1.05 [weight('<461,11,1,[1,0,0,0]>')]).
% 0.62/1.05 cnf('0.12.2.0',plain,
% 0.62/1.05 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))) = X2 ),
% 0.62/1.05 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.62/1.05 [u,rule_8]).
% 0.62/1.05 cnf('0.13.0.0',plain,
% 0.62/1.05 ( multiply(X1,inverse(X2)) = multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4))) ),
% 0.62/1.05 inference(cp,[status(thm)],['0.12.2.0','0.10.2.0',theory(equality)]),
% 0.62/1.05 [pos('L.2.1.1.1.1.1','L')]).
% 0.62/1.05 cnf('0.13.1.0',plain,
% 0.62/1.05 ( multiply(X1,inverse(X2)) = multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4))) ),
% 0.62/1.05 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.62/1.05 [weight('<671,12,10,[1,0,0,7]>')]).
% 0.62/1.05 cnf('0.13.2.0',plain,
% 0.62/1.05 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4))) = multiply(X1,inverse(X3)) ),
% 0.62/1.05 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.62/1.05 [x,rule_9]).
% 0.62/1.05 cnf('0.17.0.0',plain,
% 0.62/1.05 ( X1 = multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(X4)))))),multiply(X5,inverse(X4)))))),multiply(X2,inverse(multiply(X5,inverse(X4))))) ),
% 0.62/1.05 inference(cp,[status(thm)],['0.7.2.0','0.10.2.0',theory(equality)]),
% 0.62/1.05 [pos('L.1.1.2.1.1.1.2.1','L')]).
% 0.62/1.05 cnf('0.17.1.0',plain,
% 0.62/1.05 ( X1 = multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(X4)))))),multiply(X5,inverse(X4)))))),multiply(X2,inverse(multiply(X5,inverse(X4))))) ),
% 0.62/1.05 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.62/1.05 [weight('<1121,10,7,[0,0,0,11]>')]).
% 0.62/1.05 cnf('0.17.2.0',plain,
% 0.62/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(X4)))))),multiply(X5,inverse(X4)))))),multiply(X1,inverse(multiply(X5,inverse(X4))))) = X2 ),
% 0.62/1.05 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.62/1.05 [x,rule_13]).
% 0.62/1.05 cnf('0.19.0.0',plain,
% 0.62/1.05 ( X1 = multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),X5)))),multiply(X4,inverse(X5)))),inverse(multiply(inverse(X5),X5))))))),multiply(X6,inverse(multiply(inverse(X5),X5))))))),multiply(X2,inverse(multiply(X6,inverse(multiply(inverse(X5),X5)))))) ),
% 0.62/1.05 inference(cp,[status(thm)],['0.17.2.0','0.1.2.0',theory(equality)]),
% 0.62/1.05 [pos('L.1.1.2.1.1.1.2.1.1.1','L')]).
% 0.62/1.05 cnf('0.19.0.1',plain,
% 0.62/1.05 ( X1 = multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),X3)))),multiply(X6,inverse(multiply(inverse(X5),X5))))))),multiply(X2,inverse(multiply(X6,inverse(multiply(inverse(X5),X5)))))) ),
% 0.62/1.05 inference(reduction,[status(thm)],['0.19.0.0','0.1.2.0',theory(equality)]),
% 0.62/1.05 [pos('R.1.1.2.1.1.1.2.1.2','L')]).
% 0.62/1.05 cnf('0.19.1.0',plain,
% 0.62/1.05 ( X1 = multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),X3)))),multiply(X6,inverse(multiply(inverse(X5),X5))))))),multiply(X2,inverse(multiply(X6,inverse(multiply(inverse(X5),X5)))))) ),
% 0.62/1.05 inference(weigh,[status(thm)],['0.19.0.1']),
% 0.62/1.05 [weight('<1121,17,1,[1,0,0,13]>')]).
% 0.62/1.05 cnf('0.19.2.0',plain,
% 0.62/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(X3),X3)))),multiply(X4,inverse(multiply(inverse(X5),X5))))))),multiply(X1,inverse(multiply(X4,inverse(multiply(inverse(X5),X5)))))) = X2 ),
% 0.62/1.05 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.62/1.05 [x,rule_15]).
% 0.62/1.05 cnf('0.20.0.0',plain,
% 0.62/1.05 ( X1 = multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),X3)))),X4)))),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X5,inverse(multiply(inverse(X4),X6)))),multiply(X5,inverse(X6)))),inverse(multiply(inverse(X6),X6)))))) ),
% 0.62/1.05 inference(cp,[status(thm)],['0.19.2.0','0.1.2.0',theory(equality)]),
% 0.62/1.05 [pos('L.1.1.2.1.2','L')]).
% 0.62/1.05 cnf('0.20.0.1',plain,
% 0.62/1.05 ( X1 = multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),X3)))),X4)))),multiply(X2,inverse(X4))) ),
% 0.62/1.05 inference(reduction,[status(thm)],['0.20.0.0','0.1.2.0',theory(equality)]),
% 0.62/1.05 [pos('R.2.2.1','L')]).
% 0.62/1.05 cnf('0.20.1.0',plain,
% 0.62/1.05 ( X1 = multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),X3)))),X4)))),multiply(X2,inverse(X4))) ),
% 0.62/1.05 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.62/1.05 [weight('<461,19,1,[1,0,0,15]>')]).
% 0.62/1.05 cnf('0.20.2.0',plain,
% 0.62/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(X3),X3)))),X4)))),multiply(X1,inverse(X4))) = X2 ),
% 0.62/1.05 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.62/1.05 [x,rule_16]).
% 0.62/1.05 cnf('0.21.0.0',plain,
% 0.62/1.05 ( multiply(inverse(X1),inverse(multiply(inverse(X2),X2))) = multiply(inverse(X1),inverse(multiply(inverse(X3),X3))) ),
% 0.62/1.05 inference(cp,[status(thm)],['0.1.2.0','0.20.2.0',theory(equality)]),
% 0.62/1.05 [pos('L.1.1','L')]).
% 0.62/1.05 cnf('0.21.1.0',plain,
% 0.62/1.05 ( multiply(inverse(X1),inverse(multiply(inverse(X2),X2))) = multiply(inverse(X1),inverse(multiply(inverse(X3),X3))) ),
% 0.62/1.05 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.62/1.05 [weight('<288,20,1,[0,0,0,2]>')]).
% 0.62/1.05 cnf('0.21.2.0',plain,
% 0.62/1.05 ( multiply(inverse(X1),inverse(multiply(inverse(X2),X2))) = multiply(inverse(X1),inverse(multiply(inverse(X3),X3))) ),
% 0.62/1.05 inference(activate,[status(thm)],['0.21.1.0']),
% 0.62/1.05 [equation_5]).
% 0.62/1.05 cnf('0.21.2.1',plain,
% 0.62/1.05 ( multiply(inverse(X1),inverse(multiply(inverse(X2),X2))) = multiply(inverse(X1),inverse(multiply(inverse(b2),b2))) ),
% 0.62/1.05 inference(instr,[status(thm)],['0.21.2.0',theory(equality)])).
% 0.62/1.05 cnf('0.21.2.2',plain,
% 0.62/1.05 ( multiply(inverse(X1),inverse(multiply(inverse(b2),b2))) = multiply(inverse(X1),inverse(multiply(inverse(X2),X2))) ),
% 0.62/1.05 inference(instl,[status(thm)],['0.21.2.0',theory(equality)])).
% 0.62/1.05 cnf('0.22.0.0',plain,
% 0.62/1.05 ( multiply(X1,inverse(multiply(inverse(X2),X2))) = multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),inverse(multiply(inverse(X4),X4)))),multiply(inverse(X3),inverse(X5)))),inverse(multiply(inverse(X5),X5)))),X5))) ),
% 0.62/1.05 inference(cp,[status(thm)],['0.13.2.0','0.21.2.0',theory(equality)]),
% 0.62/1.05 [pos('L.2.1.1.1.1.1.1.1','L')]).
% 0.62/1.05 cnf('0.22.0.1',plain,
% 0.62/1.05 ( multiply(X1,inverse(multiply(inverse(X2),X2))) = multiply(X1,inverse(multiply(inverse(X4),X4))) ),
% 0.62/1.05 inference(reduction,[status(thm)],['0.22.0.0','0.13.2.0',theory(equality)]),
% 0.62/1.05 [pos('R','L')]).
% 0.62/1.05 cnf('0.22.1.0',plain,
% 0.62/1.05 ( multiply(X1,inverse(multiply(inverse(X2),X2))) = multiply(X1,inverse(multiply(inverse(X4),X4))) ),
% 0.62/1.05 inference(weigh,[status(thm)],['0.22.0.1']),
% 0.62/1.05 [weight('<224,21,13,[0,0,0,9]>')]).
% 0.62/1.05 cnf('0.22.2.0',plain,
% 0.62/1.05 ( multiply(X1,inverse(multiply(inverse(X2),X2))) = multiply(X1,inverse(multiply(inverse(X3),X3))) ),
% 0.62/1.05 inference(activate,[status(thm)],['0.22.1.0']),
% 0.62/1.05 [equation_6]).
% 0.62/1.05 cnf('0.22.2.1',plain,
% 0.62/1.05 ( multiply(X1,inverse(multiply(inverse(X2),X2))) = multiply(X1,inverse(multiply(inverse(b2),b2))) ),
% 0.62/1.05 inference(instr,[status(thm)],['0.22.2.0',theory(equality)])).
% 0.62/1.05 cnf('0.22.2.2',plain,
% 0.62/1.05 ( multiply(X1,inverse(multiply(inverse(b2),b2))) = multiply(X1,inverse(multiply(inverse(X2),X2))) ),
% 0.62/1.05 inference(instl,[status(thm)],['0.22.2.0',theory(equality)])).
% 0.62/1.05 cnf('0.24.0.0',plain,
% 0.62/1.05 ( multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),X4))) = X2 ),
% 0.62/1.05 inference(cp,[status(thm)],['0.22.2.0','0.1.2.0',theory(equality)]),
% 0.62/1.05 [pos('L','L')]).
% 0.62/1.05 cnf('0.24.1.0',plain,
% 0.62/1.05 ( multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),X4))) = X2 ),
% 0.62/1.05 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.62/1.05 [weight('<461,22,1,[1,0,0,0]>')]).
% 0.62/1.05 cnf('0.24.2.0',plain,
% 0.62/1.05 ( multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),X4))) = X2 ),
% 0.62/1.05 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.62/1.05 [u,rule_18]).
% 0.62/1.05 cnf('0.25.0.0',plain,
% 0.62/1.05 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1)))) ),
% 0.62/1.05 inference(cp,[status(thm)],['0.2.2.0','0.24.2.0',theory(equality)]),
% 0.62/1.05 [pos('L.1.1.2','L')]).
% 0.62/1.05 cnf('0.25.1.0',plain,
% 0.62/1.05 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1)))) ),
% 0.62/1.05 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.62/1.05 [weight('<395,24,2,[0,0,0,5]>')]).
% 0.62/1.05 cnf('0.25.1.1',plain,
% 0.62/1.05 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(b2),b2))) ),
% 0.62/1.05 inference(reduction,[status(thm)],['0.25.1.0','0.22.2.1',theory(equality)]),
% 0.62/1.05 [pos('R','L')]).
% 0.62/1.05 cnf('0.25.2.0',plain,
% 0.62/1.05 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(b2),b2))) ),
% 0.62/1.05 inference(activate,[status(thm)],['0.25.1.1']),
% 0.62/1.05 [equation_7]).
% 0.62/1.05 cnf('0.25.2.1',plain,
% 0.62/1.05 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(inverse(b2),b2))) ),
% 0.62/1.05 inference(instr,[status(thm)],['0.25.2.0',theory(equality)])).
% 0.62/1.05 cnf('0.25.2.2',plain,
% 0.62/1.05 ( multiply(inverse(b2),b2) = multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(b2),b2))) ),
% 0.62/1.05 inference(instl,[status(thm)],['0.25.2.0',theory(equality)])).
% 0.62/1.05 cnf('0.26.0.0',plain,
% 0.62/1.05 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 0.62/1.05 inference(cp,[status(thm)],['0.25.2.0','0.25.2.0',theory(equality)]),
% 0.62/1.05 [pos('R','R')]).
% 0.62/1.05 cnf('0.26.1.0',plain,
% 0.62/1.05 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 0.62/1.05 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.62/1.05 [weight('<80,25,25,[1,1,1,0]>')]).
% 0.62/1.05 cnf('0.26.2.0',plain,
% 0.62/1.05 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 0.62/1.05 inference(activate,[status(thm)],['0.26.1.0']),
% 0.62/1.05 [equation_8]).
% 0.62/1.05 cnf('0.26.2.1',plain,
% 0.62/1.05 ( multiply(inverse(X1),X1) = multiply(inverse(b2),b2) ),
% 0.62/1.05 inference(instr,[status(thm)],['0.26.2.0',theory(equality)])).
% 0.62/1.05 cnf('0.26.2.2',plain,
% 0.62/1.05 ( multiply(inverse(b2),b2) = multiply(inverse(X1),X1) ),
% 0.62/1.05 inference(instl,[status(thm)],['0.26.2.0',theory(equality)])).
% 0.62/1.05 cnf('0.27.0.0',plain,
% 0.62/1.05 ( inverse(multiply(inverse(X1),X1)) = multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(b2),b2)))),X4)))),multiply(X2,inverse(X4))) ),
% 0.62/1.05 inference(cp,[status(thm)],['0.20.2.0','0.25.2.0',theory(equality)]),
% 0.62/1.05 [pos('L.1.1.2.1.1.1','L')]).
% 0.62/1.05 cnf('0.27.0.1',plain,
% 0.62/1.05 ( inverse(multiply(inverse(X1),X1)) = multiply(inverse(X3),X3) ),
% 0.62/1.05 inference(reduction,[status(thm)],['0.27.0.0','0.20.2.0',theory(equality)]),
% 0.62/1.05 [pos('R','L')]).
% 0.62/1.05 cnf('0.27.1.0',plain,
% 0.62/1.05 ( inverse(multiply(inverse(X1),X1)) = multiply(inverse(X3),X3) ),
% 0.62/1.05 inference(weigh,[status(thm)],['0.27.0.1']),
% 0.62/1.05 [weight('<99,25,20,[0,0,0,7]>')]).
% 0.62/1.05 cnf('0.27.2.0',plain,
% 0.62/1.05 ( inverse(multiply(inverse(X1),X1)) = multiply(inverse(X2),X2) ),
% 0.62/1.05 inference(activate,[status(thm)],['0.27.1.0']),
% 0.62/1.05 [equation_9]).
% 0.62/1.05 cnf('0.27.2.1',plain,
% 0.62/1.05 ( inverse(multiply(inverse(X1),X1)) = multiply(inverse(b2),b2) ),
% 0.62/1.05 inference(instr,[status(thm)],['0.27.2.0',theory(equality)])).
% 0.62/1.05 cnf('0.27.2.2',plain,
% 0.62/1.05 ( inverse(multiply(inverse(b2),b2)) = multiply(inverse(X1),X1) ),
% 0.62/1.05 inference(instl,[status(thm)],['0.27.2.0',theory(equality)])).
% 0.62/1.05 cnf('0.28.0.0',plain,
% 0.62/1.05 ( multiply(inverse(X1),X1) = multiply(multiply(inverse(X2),X2),multiply(inverse(X3),X3)) ),
% 0.62/1.05 inference(cp,[status(thm)],['0.26.2.0','0.27.2.0',theory(equality)]),
% 0.62/1.05 [pos('L.1','L')]).
% 0.62/1.05 cnf('0.28.1.0',plain,
% 0.62/1.05 ( multiply(inverse(X1),X1) = multiply(multiply(inverse(X2),X2),multiply(inverse(X3),X3)) ),
% 0.62/1.05 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.62/1.05 [weight('<195,27,26,[0,0,0,1]>')]).
% 0.62/1.05 cnf('0.28.2.0',plain,
% 0.62/1.05 ( multiply(inverse(X1),X1) = multiply(multiply(inverse(X2),X2),multiply(inverse(X3),X3)) ),
% 0.62/1.05 inference(activate,[status(thm)],['0.28.1.0']),
% 0.62/1.05 [equation_10]).
% 0.62/1.05 cnf('0.28.2.1',plain,
% 0.62/1.05 ( multiply(inverse(X1),X1) = multiply(multiply(inverse(b2),b2),multiply(inverse(b2),b2)) ),
% 0.62/1.05 inference(instr,[status(thm)],['0.28.2.0',theory(equality)])).
% 0.62/1.05 cnf('0.28.2.2',plain,
% 0.62/1.05 ( multiply(inverse(b2),b2) = multiply(multiply(inverse(X1),X1),multiply(inverse(X2),X2)) ),
% 0.62/1.05 inference(instl,[status(thm)],['0.28.2.0',theory(equality)])).
% 0.62/1.05 cnf('0.29.0.0',plain,
% 0.62/1.05 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))) = X2 ),
% 0.62/1.05 inference(interreduction_right,[status(thm)],['0.12.2.0'])).
% 0.62/1.05 cnf('0.29.1.0',plain,
% 0.62/1.05 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))) = X2 ),
% 0.62/1.05 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.62/1.05 [weight('<461,12,27,[0,0,0,0]>')]).
% 0.62/1.05 cnf('0.29.1.1',plain,
% 0.62/1.05 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(X1,inverse(X3)))),multiply(inverse(b2),b2))),X3))) = X2 ),
% 0.62/1.05 inference(reduction,[status(thm)],['0.29.1.0','0.27.2.1',theory(equality)]),
% 0.62/1.05 [pos('L.2.1.1.1.2','L')]).
% 0.62/1.05 cnf('0.29.2.0',plain,
% 0.62/1.05 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(X1,inverse(X3)))),multiply(inverse(b2),b2))),X3))) = X2 ),
% 0.62/1.05 inference(orient,[status(thm)],['0.29.1.1',theory(equality)]),
% 0.62/1.05 [u,rule_19]).
% 0.62/1.05 cnf('0.30.0.0',plain,
% 0.62/1.05 ( multiply(X1,inverse(X2)) = multiply(X1,inverse(multiply(inverse(multiply(multiply(inverse(X3),X3),multiply(inverse(b2),b2))),X2))) ),
% 0.62/1.05 inference(cp,[status(thm)],['0.29.2.0','0.27.2.0',theory(equality)]),
% 0.62/1.05 [pos('L.2.1.1.1.1','L')]).
% 0.62/1.05 cnf('0.30.1.0',plain,
% 0.62/1.05 ( multiply(X1,inverse(X2)) = multiply(X1,inverse(multiply(inverse(multiply(multiply(inverse(X3),X3),multiply(inverse(b2),b2))),X2))) ),
% 0.62/1.05 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.62/1.05 [weight('<319,29,27,[1,0,0,6]>')]).
% 0.62/1.05 cnf('0.30.1.1',plain,
% 0.62/1.05 ( multiply(X1,inverse(X2)) = multiply(X1,inverse(multiply(inverse(multiply(inverse(b2),b2)),X2))) ),
% 0.62/1.05 inference(reduction,[status(thm)],['0.30.1.0','0.28.2.2',theory(equality)]),
% 0.62/1.05 [pos('R.2.1.1.1','R')]).
% 0.62/1.05 cnf('0.30.1.2',plain,
% 0.62/1.05 ( multiply(X1,inverse(X2)) = multiply(X1,inverse(multiply(multiply(inverse(b2),b2),X2))) ),
% 0.62/1.05 inference(reduction,[status(thm)],['0.30.1.1','0.27.2.1',theory(equality)]),
% 0.62/1.05 [pos('R.2.1.1','L')]).
% 0.62/1.05 cnf('0.30.2.0',plain,
% 0.62/1.05 ( multiply(X1,inverse(multiply(multiply(inverse(b2),b2),X2))) = multiply(X1,inverse(X2)) ),
% 0.62/1.05 inference(orient,[status(thm)],['0.30.1.2',theory(equality)]),
% 0.62/1.05 [x,rule_20]).
% 0.62/1.05 cnf('0.31.0.0',plain,
% 0.62/1.05 ( multiply(X1,inverse(X2)) = multiply(X1,inverse(multiply(multiply(inverse(X3),X3),X2))) ),
% 0.62/1.05 inference(cp,[status(thm)],['0.30.2.0','0.26.2.0',theory(equality)]),
% 0.62/1.05 [pos('L.2.1.1','L')]).
% 0.62/1.05 cnf('0.31.1.0',plain,
% 0.62/1.05 ( multiply(X1,inverse(X2)) = multiply(X1,inverse(multiply(multiply(inverse(X3),X3),X2))) ),
% 0.62/1.05 inference(weigh,[status(thm)],['0.31.0.0']),
% 0.62/1.05 [weight('<139,30,26,[1,0,0,4]>')]).
% 0.62/1.05 cnf('0.31.2.0',plain,
% 0.62/1.05 ( multiply(X1,inverse(multiply(multiply(inverse(X2),X2),X3))) = multiply(X1,inverse(X3)) ),
% 0.62/1.05 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.62/1.05 [x,rule_21]).
% 0.62/1.05 cnf('0.32.0.0',plain,
% 0.62/1.05 ( multiply(X1,inverse(inverse(multiply(multiply(inverse(X2),X2),X3)))) = multiply(X1,inverse(multiply(multiply(inverse(X4),X4),inverse(X3)))) ),
% 0.62/1.05 inference(cp,[status(thm)],['0.31.2.0','0.31.2.0',theory(equality)]),
% 0.62/1.05 [pos('L.2.1','L')]).
% 0.62/1.05 cnf('0.32.0.1',plain,
% 0.62/1.05 ( multiply(X1,inverse(inverse(multiply(multiply(inverse(X2),X2),X3)))) = multiply(X1,inverse(inverse(X3))) ),
% 0.62/1.05 inference(reduction,[status(thm)],['0.32.0.0','0.31.2.0',theory(equality)]),
% 0.62/1.05 [pos('R','L')]).
% 0.62/1.05 cnf('0.32.1.0',plain,
% 0.62/1.05 ( multiply(X1,inverse(inverse(multiply(multiply(inverse(X2),X2),X3)))) = multiply(X1,inverse(inverse(X3))) ),
% 0.62/1.05 inference(weigh,[status(thm)],['0.32.0.1']),
% 0.62/1.05 [weight('<175,31,31,[0,0,0,3]>')]).
% 0.62/1.05 cnf('0.32.2.0',plain,
% 0.62/1.05 ( multiply(X1,inverse(inverse(multiply(multiply(inverse(X2),X2),X3)))) = multiply(X1,inverse(inverse(X3))) ),
% 0.62/1.05 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.62/1.05 [u,rule_22]).
% 0.62/1.05 cnf('0.41.0.0',plain,
% 0.62/1.05 ( X1 = multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(X2,inverse(X3)))),multiply(inverse(X4),X4))),X3))) ),
% 0.62/1.05 inference(cp,[status(thm)],['0.29.2.0','0.26.2.0',theory(equality)]),
% 0.62/1.05 [pos('L.2.1.1.1.2','L')]).
% 0.62/1.05 cnf('0.41.1.0',plain,
% 0.62/1.05 ( X1 = multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(X2,inverse(X3)))),multiply(inverse(X4),X4))),X3))) ),
% 0.62/1.05 inference(weigh,[status(thm)],['0.41.0.0']),
% 0.62/1.05 [weight('<419,29,26,[1,0,0,14]>')]).
% 0.62/1.05 cnf('0.41.2.0',plain,
% 0.62/1.05 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(X1,inverse(X3)))),multiply(inverse(X4),X4))),X3))) = X2 ),
% 0.62/1.05 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 0.62/1.05 [x,rule_28]).
% 0.62/1.05 cnf('0.43.0.0',plain,
% 0.62/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(X3),X3)))),X4)))),multiply(X1,inverse(X4))) = X2 ),
% 0.62/1.05 inference(interreduction_right,[status(thm)],['0.20.2.0'])).
% 0.62/1.05 cnf('0.43.1.0',plain,
% 0.62/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(X3),X3)))),X4)))),multiply(X1,inverse(X4))) = X2 ),
% 0.62/1.05 inference(weigh,[status(thm)],['0.43.0.0']),
% 0.62/1.05 [weight('<461,20,27,[0,0,0,0]>')]).
% 0.62/1.05 cnf('0.43.1.1',plain,
% 0.62/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(b2),b2))),X4)))),multiply(X1,inverse(X4))) = X2 ),
% 0.62/1.05 inference(reduction,[status(thm)],['0.43.1.0','0.27.2.1',theory(equality)]),
% 0.62/1.05 [pos('L.1.1.2.1.1.1.2','L')]).
% 0.62/1.05 cnf('0.43.2.0',plain,
% 0.62/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(b2),b2))),X3)))),multiply(X1,inverse(X3))) = X2 ),
% 0.62/1.05 inference(orient,[status(thm)],['0.43.1.1',theory(equality)]),
% 0.62/1.05 [u,rule_29]).
% 0.62/1.05 cnf('0.44.0.0',plain,
% 0.62/1.05 ( X1 = multiply(inverse(multiply(X2,multiply(inverse(X3),X3))),multiply(X2,inverse(multiply(inverse(X1),multiply(inverse(b2),b2))))) ),
% 0.62/1.05 inference(cp,[status(thm)],['0.43.2.0','0.27.2.0',theory(equality)]),
% 0.62/1.05 [pos('L.1.1.2','L')]).
% 0.62/1.05 cnf('0.44.1.0',plain,
% 0.62/1.05 ( X1 = multiply(inverse(multiply(X2,multiply(inverse(X3),X3))),multiply(X2,inverse(multiply(inverse(X1),multiply(inverse(b2),b2))))) ),
% 0.62/1.05 inference(weigh,[status(thm)],['0.44.0.0']),
% 0.62/1.05 [weight('<379,43,27,[1,0,0,4]>')]).
% 0.62/1.05 cnf('0.44.2.0',plain,
% 0.62/1.05 ( multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,inverse(multiply(inverse(X3),multiply(inverse(b2),b2))))) = X3 ),
% 0.62/1.05 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.62/1.05 [x,rule_30]).
% 0.62/1.05 cnf('0.45.0.0',plain,
% 0.62/1.05 ( inverse(multiply(inverse(X1),multiply(inverse(b2),b2))) = multiply(inverse(inverse(X2)),inverse(multiply(inverse(X1),X2))) ),
% 0.62/1.05 inference(cp,[status(thm)],['0.41.2.0','0.44.2.0',theory(equality)]),
% 0.62/1.05 [pos('L.2.1.1.1','L')]).
% 0.62/1.05 cnf('0.45.1.0',plain,
% 0.62/1.05 ( inverse(multiply(inverse(X1),multiply(inverse(b2),b2))) = multiply(inverse(inverse(X2)),inverse(multiply(inverse(X1),X2))) ),
% 0.62/1.05 inference(weigh,[status(thm)],['0.45.0.0']),
% 0.62/1.05 [weight('<179,44,41,[0,0,0,5]>')]).
% 0.62/1.05 cnf('0.45.2.0',plain,
% 0.62/1.05 ( multiply(inverse(inverse(X1)),inverse(multiply(inverse(X2),X1))) = inverse(multiply(inverse(X2),multiply(inverse(b2),b2))) ),
% 0.62/1.05 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.62/1.05 [x,rule_31]).
% 0.62/1.05 cnf('0.46.0.0',plain,
% 0.62/1.05 ( inverse(multiply(inverse(X1),multiply(inverse(b2),b2))) = multiply(inverse(inverse(X1)),inverse(multiply(inverse(X2),X2))) ),
% 0.62/1.05 inference(cp,[status(thm)],['0.45.2.0','0.26.2.0',theory(equality)]),
% 0.62/1.05 [pos('L.2.1','L')]).
% 0.62/1.05 cnf('0.46.1.0',plain,
% 0.62/1.05 ( inverse(multiply(inverse(X1),multiply(inverse(b2),b2))) = multiply(inverse(inverse(X1)),inverse(multiply(inverse(X2),X2))) ),
% 0.62/1.05 inference(weigh,[status(thm)],['0.46.0.0']),
% 0.62/1.05 [weight('<179,45,26,[1,0,0,5]>')]).
% 0.62/1.05 cnf('0.46.1.1',plain,
% 0.62/1.05 ( inverse(multiply(inverse(X1),multiply(inverse(b2),b2))) = multiply(inverse(inverse(X1)),multiply(inverse(b2),b2)) ),
% 0.62/1.05 inference(reduction,[status(thm)],['0.46.1.0','0.27.2.1',theory(equality)]),
% 0.62/1.05 [pos('R.2','L')]).
% 0.62/1.05 cnf('0.46.2.0',plain,
% 0.62/1.05 ( inverse(multiply(inverse(X1),multiply(inverse(b2),b2))) = multiply(inverse(inverse(X1)),multiply(inverse(b2),b2)) ),
% 0.62/1.05 inference(orient,[status(thm)],['0.46.1.1',theory(equality)]),
% 0.62/1.05 [u,rule_32]).
% 0.62/1.05 cnf('0.52.0.0',plain,
% 0.62/1.05 ( multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,inverse(multiply(inverse(X3),multiply(inverse(b2),b2))))) = X3 ),
% 0.62/1.05 inference(interreduction_right,[status(thm)],['0.44.2.0'])).
% 0.62/1.05 cnf('0.52.0.1',plain,
% 0.62/1.05 ( multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,multiply(inverse(inverse(X3)),multiply(inverse(b2),b2)))) = X3 ),
% 0.62/1.05 inference(reduction,[status(thm)],['0.52.0.0','0.46.2.0',theory(equality)]),
% 0.62/1.05 [pos('L.2.2','L')]).
% 0.62/1.05 cnf('0.52.1.0',plain,
% 0.62/1.05 ( multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,multiply(inverse(inverse(X3)),multiply(inverse(b2),b2)))) = X3 ),
% 0.62/1.05 inference(weigh,[status(thm)],['0.52.0.1']),
% 0.62/1.05 [weight('<379,44,46,[0,0,0,0]>')]).
% 0.62/1.05 cnf('0.52.2.0',plain,
% 0.62/1.05 ( multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,multiply(inverse(inverse(X3)),multiply(inverse(b2),b2)))) = X3 ),
% 0.62/1.05 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 0.62/1.05 [u,rule_38]).
% 0.62/1.05 cnf('0.53.0.0',plain,
% 0.62/1.05 ( multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X3)))),multiply(X2,inverse(X3)))),inverse(X3)))),inverse(multiply(inverse(X3),X3))) = X3 ),
% 0.62/1.05 inference(interreduction_right,[status(thm)],['0.2.2.0'])).
% 0.62/1.05 cnf('0.53.1.0',plain,
% 0.62/1.05 ( multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X3)))),multiply(X2,inverse(X3)))),inverse(X3)))),inverse(multiply(inverse(X3),X3))) = X3 ),
% 0.62/1.05 inference(weigh,[status(thm)],['0.53.0.0']),
% 0.62/1.05 [weight('<?,2,27,[0,0,0,0]>')]).
% 0.62/1.05 cnf('0.53.1.1',plain,
% 0.62/1.05 ( multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X3)))),multiply(X2,inverse(X3)))),inverse(X3)))),multiply(inverse(b2),b2)) = X3 ),
% 0.62/1.05 inference(reduction,[status(thm)],['0.53.1.0','0.27.2.1',theory(equality)]),
% 0.62/1.05 [pos('L.2','L')]).
% 0.62/1.05 cnf('0.53.2.0',plain,
% 0.62/1.05 ( multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X3)))),multiply(X2,inverse(X3)))),inverse(X3)))),multiply(inverse(b2),b2)) = X3 ),
% 0.62/1.05 inference(orient,[status(thm)],['0.53.1.1',theory(equality)]),
% 0.62/1.05 [u,rule_39]).
% 0.62/1.05 cnf('0.54.0.0',plain,
% 0.62/1.05 ( inverse(multiply(multiply(inverse(X1),X1),X2)) = multiply(inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),inverse(X2))))),multiply(X4,inverse(inverse(multiply(multiply(inverse(X1),X1),X2)))))),inverse(inverse(multiply(multiply(inverse(X1),X1),X2)))))),multiply(inverse(b2),b2)) ),
% 0.62/1.05 inference(cp,[status(thm)],['0.53.2.0','0.31.2.0',theory(equality)]),
% 0.62/1.05 [pos('L.1.1.2.1.1.1.1.2.1','L')]).
% 0.62/1.05 cnf('0.54.0.1',plain,
% 0.62/1.05 ( inverse(multiply(multiply(inverse(X1),X1),X2)) = multiply(inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),inverse(X2))))),multiply(X4,inverse(inverse(multiply(multiply(inverse(X1),X1),X2)))))),inverse(inverse(X2))))),multiply(inverse(b2),b2)) ),
% 0.62/1.05 inference(reduction,[status(thm)],['0.54.0.0','0.32.2.0',theory(equality)]),
% 0.62/1.05 [pos('R.1.1.2','L')]).
% 0.62/1.05 cnf('0.54.0.2',plain,
% 0.62/1.05 ( inverse(multiply(multiply(inverse(X1),X1),X2)) = multiply(inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),inverse(X2))))),multiply(X4,inverse(inverse(X2))))),inverse(inverse(X2))))),multiply(inverse(b2),b2)) ),
% 0.62/1.05 inference(reduction,[status(thm)],['0.54.0.1','0.32.2.0',theory(equality)]),
% 0.62/1.05 [pos('R.1.1.2.1.1.2','L')]).
% 0.62/1.05 cnf('0.54.0.3',plain,
% 0.62/1.05 ( inverse(multiply(multiply(inverse(X1),X1),X2)) = inverse(X2) ),
% 0.62/1.05 inference(reduction,[status(thm)],['0.54.0.2','0.53.2.0',theory(equality)]),
% 0.62/1.05 [pos('R','L')]).
% 0.62/1.05 cnf('0.54.1.0',plain,
% 0.62/1.05 ( inverse(multiply(multiply(inverse(X1),X1),X2)) = inverse(X2) ),
% 0.62/1.05 inference(weigh,[status(thm)],['0.54.0.3']),
% 0.62/1.05 [weight('<79,53,31,[1,0,0,12]>')]).
% 0.62/1.05 cnf('0.54.2.0',plain,
% 0.62/1.05 ( inverse(multiply(multiply(inverse(X1),X1),X2)) = inverse(X2) ),
% 0.62/1.05 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 0.62/1.05 [u,rule_40]).
% 0.62/1.05 cnf('0.55.0.0',plain,
% 0.62/1.05 ( multiply(multiply(inverse(X1),X1),X2) = multiply(inverse(multiply(X3,multiply(inverse(X4),X4))),multiply(X3,multiply(inverse(inverse(X2)),multiply(inverse(b2),b2)))) ),
% 0.62/1.05 inference(cp,[status(thm)],['0.52.2.0','0.54.2.0',theory(equality)]),
% 0.62/1.05 [pos('L.2.2.1.1','L')]).
% 0.62/1.05 cnf('0.55.0.1',plain,
% 0.62/1.05 ( multiply(multiply(inverse(X1),X1),X2) = X2 ),
% 0.62/1.05 inference(reduction,[status(thm)],['0.55.0.0','0.52.2.0',theory(equality)]),
% 0.62/1.05 [pos('R','L')]).
% 0.62/1.05 cnf('0.55.1.0',plain,
% 0.62/1.05 ( multiply(multiply(inverse(X1),X1),X2) = X2 ),
% 0.62/1.05 inference(weigh,[status(thm)],['0.55.0.1']),
% 0.62/1.05 [weight('<55,54,52,[0,0,0,12]>')]).
% 0.62/1.05 cnf('0.55.2.0',plain,
% 0.62/1.05 ( multiply(multiply(inverse(X1),X1),X2) = X2 ),
% 0.62/1.05 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 0.62/1.05 [u,rule_41]).
% 0.62/1.05 cnf('1.0.0.0',conjecture,
% 0.62/1.05 ( multiply(multiply(inverse(b2),b2),a2) = a2 ),
% 0.62/1.05 file('/tmp/WALDMEISTER_13725_n017',conjecture_1)).
% 0.62/1.05 cnf('1.0.0.1',plain,
% 0.62/1.05 ( a2 = a2 ),
% 0.62/1.05 inference(reduction,[status(thm)],['1.0.0.0','0.55.2.0',theory(equality)]),
% 0.62/1.05 [pos('L','L')]).
% 0.62/1.05 cnf('1.0.0.2',plain,
% 0.62/1.05 ( $true ),
% 0.62/1.05 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.62/1.05 [conjecture_1]).
% 0.62/1.05
% 0.62/1.05 Proved Goals:
% 0.62/1.05 No. 1: multiply(multiply(inverse(b2),b2),a2) ?= a2 joined, current: a2 = a2
% 0.62/1.05 1 goal was specified, which was proved.
% 0.62/1.05 % SZS output end CNFRefutation
% 0.62/1.05 #END OF PROOF
% 0.62/1.05
% 0.62/1.05 Problem WALDMEISTER_13725_n017
% 0.62/1.05 CPs.gen 2528
% 0.62/1.05 CPs.reexp 0
% 0.62/1.05 Select 240
% 0.62/1.05 R 41
% 0.62/1.05 E 14
% 0.62/1.05 vsize 7.3M
% 0.62/1.05 rss 4.5M
% 0.62/1.05 process.time 0.079s
% 0.62/1.05 wallclock.time 0.079s
% 0.62/1.05 status S
% 0.62/1.05
% 0.62/1.05
% 0.62/1.05 Waldmeister states: Goal proved.
% 0.62/1.05 % SZS status Unsatisfiable
%------------------------------------------------------------------------------