TSTP Solution File: GRP405-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP405-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n008.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 0.58s 1.01s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : GRP405-1 : TPTP v8.1.0. Released v2.6.0.
% 0.09/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n008.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 07:03:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.54/0.95 ********************************************************************************
% 0.54/0.95 * W A L D M E I S T E R \| \ / \|/ *
% 0.54/0.95 * |/ | \/ | *
% 0.54/0.95 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.54/0.95 * A. Jaeger and B. Loechner | | *
% 0.54/0.95 * <waldmeister@informatik.uni-kl.de> | *
% 0.54/0.95 ********************************************************************************
% 0.54/0.95
% 0.54/0.95
% 0.54/0.95 Goals:
% 0.54/0.95 ------
% 0.54/0.95
% 0.54/0.95 ( 1) multiply(multiply(a3,b3),c3) ?=? multiply(a3,multiply(b3,c3))
% 0.54/0.95
% 0.54/0.95 Detected structure: Orkus
% 0.54/0.95 ********************************************************************************
% 0.54/0.95 ****************************** COMPLETION - PROOF ******************************
% 0.54/0.95 ********************************************************************************
% 0.54/0.95
% 0.58/1.01 joined goal: 1 multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) to multiply(a3,multiply(b3,c3))
% 0.58/1.01 goal joined
% 0.58/1.01 % SZS status Unsatisfiable
% 0.58/1.01 #START OF PROOF
% 0.58/1.01 % SZS output start CNFRefutation
% 0.58/1.01 cnf('0.1.0.0',axiom,
% 0.58/1.01 ( X1 = multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X1)),inverse(multiply(X3,multiply(inverse(X3),X3)))))) ),
% 0.58/1.01 file('/tmp/WALDMEISTER_6201_n008')).
% 0.58/1.01 cnf('0.1.1.0',plain,
% 0.58/1.01 ( X1 = multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X1)),inverse(multiply(X3,multiply(inverse(X3),X3)))))) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.58/1.01 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.58/1.01 cnf('0.1.2.0',plain,
% 0.58/1.01 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),inverse(multiply(X2,multiply(inverse(X2),X2)))))) = X3 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_1]).
% 0.58/1.01 cnf('0.2.0.0',plain,
% 0.58/1.01 ( inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X4)),inverse(multiply(X3,multiply(inverse(X3),X3))))) = multiply(X1,inverse(multiply(inverse(X4),inverse(multiply(X2,multiply(inverse(X2),X2)))))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2.1.1.1','L')]).
% 0.58/1.01 cnf('0.2.1.0',plain,
% 0.58/1.01 ( inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X4)),inverse(multiply(X3,multiply(inverse(X3),X3))))) = multiply(X1,inverse(multiply(inverse(X4),inverse(multiply(X2,multiply(inverse(X2),X2)))))) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.58/1.01 [weight('<?,1,1,[0,0,0,5]>')]).
% 0.58/1.01 cnf('0.2.2.0',plain,
% 0.58/1.01 ( inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X4)),inverse(multiply(X3,multiply(inverse(X3),X3))))) = multiply(X1,inverse(multiply(inverse(X4),inverse(multiply(X2,multiply(inverse(X2),X2)))))) ),
% 0.58/1.01 inference(activate,[status(thm)],['0.2.1.0']),
% 0.58/1.01 [equation_1]).
% 0.58/1.01 cnf('0.2.2.2',plain,
% 0.58/1.01 ( inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),c3)),X2)),inverse(multiply(c3,multiply(inverse(c3),c3))))) = multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,multiply(inverse(X3),X3)))))) ),
% 0.58/1.01 inference(instl,[status(thm)],['0.2.2.0',theory(equality)])).
% 0.58/1.01 cnf('0.3.0.0',plain,
% 0.58/1.01 ( X1 = multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(inverse(X1),inverse(multiply(X3,multiply(inverse(X3),X3))))))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2','L')]).
% 0.58/1.01 cnf('0.3.1.0',plain,
% 0.58/1.01 ( X1 = multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(inverse(X1),inverse(multiply(X3,multiply(inverse(X3),X3))))))) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.58/1.01 [weight('<379,2,1,[0,0,0,2]>')]).
% 0.58/1.01 cnf('0.3.2.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(inverse(X3),inverse(multiply(X2,multiply(inverse(X2),X2))))))) = X3 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_2]).
% 0.58/1.01 cnf('0.4.0.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X4) = multiply(inverse(multiply(X5,X3)),multiply(X5,multiply(X1,inverse(multiply(inverse(X4),inverse(multiply(X2,multiply(inverse(X2),X2)))))))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2.2','L')]).
% 0.58/1.01 cnf('0.4.1.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X4) = multiply(inverse(multiply(X5,X3)),multiply(X5,multiply(X1,inverse(multiply(inverse(X4),inverse(multiply(X2,multiply(inverse(X2),X2)))))))) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.58/1.01 [weight('<629,3,2,[1,0,0,7]>')]).
% 0.58/1.01 cnf('0.4.2.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X3,inverse(multiply(inverse(X4),inverse(multiply(X5,multiply(inverse(X5),X5)))))))) = multiply(inverse(multiply(inverse(multiply(X3,X5)),X2)),X4) ),
% 0.58/1.01 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_3]).
% 0.58/1.01 cnf('0.5.0.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X1,X2)),X4)) = multiply(inverse(multiply(X5,X3)),multiply(X5,X4)) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2.2','L')]).
% 0.58/1.01 cnf('0.5.1.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X1,X2)),X4)) = multiply(inverse(multiply(X5,X3)),multiply(X5,X4)) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.58/1.01 [weight('<528,4,1,[1,0,0,7]>')]).
% 0.58/1.01 cnf('0.5.2.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X1,X2)),X4)) = multiply(inverse(multiply(X5,X3)),multiply(X5,X4)) ),
% 0.58/1.01 inference(activate,[status(thm)],['0.5.1.0']),
% 0.58/1.01 [equation_2]).
% 0.58/1.01 cnf('0.5.2.1',plain,
% 0.58/1.01 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X1,X2)),X4)) = multiply(inverse(multiply(c3,X3)),multiply(c3,X4)) ),
% 0.58/1.01 inference(instr,[status(thm)],['0.5.2.0',theory(equality)])).
% 0.58/1.01 cnf('0.5.2.2',plain,
% 0.58/1.01 ( multiply(inverse(multiply(inverse(multiply(c3,c3)),X2)),multiply(inverse(multiply(c3,c3)),X3)) = multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) ),
% 0.58/1.01 inference(instl,[status(thm)],['0.5.2.0',theory(equality)])).
% 0.58/1.01 cnf('0.6.0.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.5.2.0','0.5.2.0',theory(equality)]),
% 0.58/1.01 [pos('L','L')]).
% 0.58/1.01 cnf('0.6.1.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.58/1.01 [weight('<288,5,5,[1,0,0,0]>')]).
% 0.58/1.01 cnf('0.6.2.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)) ),
% 0.58/1.01 inference(activate,[status(thm)],['0.6.1.0']),
% 0.58/1.01 [equation_3]).
% 0.58/1.01 cnf('0.6.2.1',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(c3,X2)),multiply(c3,X3)) ),
% 0.58/1.01 inference(instr,[status(thm)],['0.6.2.0',theory(equality)])).
% 0.58/1.01 cnf('0.6.2.2',plain,
% 0.58/1.01 ( multiply(inverse(multiply(c3,X2)),multiply(c3,X3)) = multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) ),
% 0.58/1.01 inference(instl,[status(thm)],['0.6.2.0',theory(equality)])).
% 0.58/1.01 cnf('0.7.0.0',plain,
% 0.58/1.01 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),inverse(multiply(X2,multiply(inverse(X2),X2)))))) = inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,X3))),inverse(multiply(X5,multiply(inverse(X5),X5))))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.2.2.0','0.6.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1.1.1','L')]).
% 0.58/1.01 cnf('0.7.0.1',plain,
% 0.58/1.01 ( X3 = inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,X3))),inverse(multiply(X5,multiply(inverse(X5),X5))))) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.7.0.0','0.1.2.0',theory(equality)]),
% 0.58/1.01 [pos('L','L')]).
% 0.58/1.01 cnf('0.7.1.0',plain,
% 0.58/1.01 ( X3 = inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,X3))),inverse(multiply(X5,multiply(inverse(X5),X5))))) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.7.0.1']),
% 0.58/1.01 [weight('<379,6,2,[0,0,0,3]>')]).
% 0.58/1.01 cnf('0.7.2.0',plain,
% 0.58/1.01 ( inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))),inverse(multiply(X2,multiply(inverse(X2),X2))))) = X3 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_4]).
% 0.58/1.01 cnf('0.10.0.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X4)),inverse(multiply(X3,multiply(inverse(X3),X3))))))),multiply(X1,X5)) = multiply(inverse(X4),multiply(X2,X5)) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1.1','L')]).
% 0.58/1.01 cnf('0.10.1.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X4)),inverse(multiply(X3,multiply(inverse(X3),X3))))))),multiply(X1,X5)) = multiply(inverse(X4),multiply(X2,X5)) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.58/1.01 [weight('<719,6,1,[1,0,0,2]>')]).
% 0.58/1.01 cnf('0.10.2.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X4)),inverse(multiply(X3,multiply(inverse(X3),X3))))))),multiply(X1,X5)) = multiply(inverse(X4),multiply(X2,X5)) ),
% 0.58/1.01 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.58/1.01 [u,rule_7]).
% 0.58/1.01 cnf('0.11.0.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),X5)),inverse(multiply(X4,multiply(inverse(X4),X4))))))) = multiply(inverse(multiply(X3,X2)),X5) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2','L')]).
% 0.58/1.01 cnf('0.11.1.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),X5)),inverse(multiply(X4,multiply(inverse(X4),X4))))))) = multiply(inverse(multiply(X3,X2)),X5) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.58/1.01 [weight('<719,6,1,[1,0,0,5]>')]).
% 0.58/1.01 cnf('0.11.2.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),X5)),inverse(multiply(X4,multiply(inverse(X4),X4))))))) = multiply(inverse(multiply(X3,X2)),X5) ),
% 0.58/1.01 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.58/1.01 [u,rule_8]).
% 0.58/1.01 cnf('0.18.0.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(inverse(X2),X2))))),multiply(X1,X3)) = multiply(X4,multiply(inverse(multiply(inverse(multiply(X5,X2)),multiply(X5,X4))),X3)) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.6.2.0','0.7.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1','L')]).
% 0.58/1.01 cnf('0.18.1.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(inverse(X2),X2))))),multiply(X1,X3)) = multiply(X4,multiply(inverse(multiply(inverse(multiply(X5,X2)),multiply(X5,X4))),X3)) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.58/1.01 [weight('<783,7,6,[0,0,0,1]>')]).
% 0.58/1.01 cnf('0.18.2.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(inverse(X2),X2))))),multiply(X1,X3)) = multiply(X4,multiply(inverse(multiply(inverse(multiply(X5,X2)),multiply(X5,X4))),X3)) ),
% 0.58/1.01 inference(activate,[status(thm)],['0.18.1.0']),
% 0.58/1.01 [equation_7]).
% 0.58/1.01 cnf('0.18.2.1',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(inverse(X2),X2))))),multiply(X1,X3)) = multiply(c3,multiply(inverse(multiply(inverse(multiply(c3,X2)),multiply(c3,c3))),X3)) ),
% 0.58/1.01 inference(instr,[status(thm)],['0.18.2.0',theory(equality)])).
% 0.58/1.01 cnf('0.18.2.2',plain,
% 0.58/1.01 ( multiply(inverse(multiply(c3,inverse(multiply(X3,multiply(inverse(X3),X3))))),multiply(c3,X4)) = multiply(X1,multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X1))),X4)) ),
% 0.58/1.01 inference(instl,[status(thm)],['0.18.2.0',theory(equality)])).
% 0.58/1.01 cnf('0.19.0.0',plain,
% 0.58/1.01 ( multiply(X1,multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X1))),X4)) = multiply(X5,multiply(inverse(multiply(inverse(multiply(X6,X3)),multiply(X6,X5))),X4)) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.18.2.0','0.7.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1','L')]).
% 0.58/1.01 cnf('0.19.1.0',plain,
% 0.58/1.01 ( multiply(X1,multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X1))),X4)) = multiply(X5,multiply(inverse(multiply(inverse(multiply(X6,X3)),multiply(X6,X5))),X4)) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.58/1.01 [weight('<728,18,7,[1,0,0,1]>')]).
% 0.58/1.01 cnf('0.19.2.0',plain,
% 0.58/1.01 ( multiply(X1,multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X1))),X4)) = multiply(X5,multiply(inverse(multiply(inverse(multiply(X6,X3)),multiply(X6,X5))),X4)) ),
% 0.58/1.01 inference(activate,[status(thm)],['0.19.1.0']),
% 0.58/1.01 [equation_8]).
% 0.58/1.01 cnf('0.19.2.1',plain,
% 0.58/1.01 ( multiply(X1,multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X1))),X4)) = multiply(c3,multiply(inverse(multiply(inverse(multiply(c3,X3)),multiply(c3,c3))),X4)) ),
% 0.58/1.01 inference(instr,[status(thm)],['0.19.2.0',theory(equality)])).
% 0.58/1.01 cnf('0.19.2.2',plain,
% 0.58/1.01 ( multiply(c3,multiply(inverse(multiply(inverse(multiply(c3,X3)),multiply(c3,c3))),X4)) = multiply(X1,multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X1))),X4)) ),
% 0.58/1.01 inference(instl,[status(thm)],['0.19.2.0',theory(equality)])).
% 0.58/1.01 cnf('0.20.0.0',plain,
% 0.58/1.01 ( multiply(X1,multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),X5)),inverse(multiply(X4,multiply(inverse(X4),X4))))))),multiply(X2,X1))),X6)) = multiply(X7,multiply(inverse(multiply(inverse(X5),multiply(X3,X7))),X6)) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.19.2.0','0.1.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2.1.1.1.1','L')]).
% 0.58/1.01 cnf('0.20.0.1',plain,
% 0.58/1.01 ( multiply(X1,multiply(inverse(multiply(inverse(X5),multiply(X3,X1))),X6)) = multiply(X7,multiply(inverse(multiply(inverse(X5),multiply(X3,X7))),X6)) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.20.0.0','0.10.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2.1.1','L')]).
% 0.58/1.01 cnf('0.20.1.0',plain,
% 0.58/1.01 ( multiply(X1,multiply(inverse(multiply(inverse(X5),multiply(X3,X1))),X6)) = multiply(X7,multiply(inverse(multiply(inverse(X5),multiply(X3,X7))),X6)) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.58/1.01 [weight('<528,19,1,[1,0,0,6]>')]).
% 0.58/1.01 cnf('0.20.2.0',plain,
% 0.58/1.01 ( multiply(X1,multiply(inverse(multiply(inverse(X2),multiply(X3,X1))),X4)) = multiply(X5,multiply(inverse(multiply(inverse(X2),multiply(X3,X5))),X4)) ),
% 0.58/1.01 inference(activate,[status(thm)],['0.20.1.0']),
% 0.58/1.01 [equation_9]).
% 0.58/1.01 cnf('0.20.2.1',plain,
% 0.58/1.01 ( multiply(X1,multiply(inverse(multiply(inverse(X2),multiply(X3,X1))),X4)) = multiply(c3,multiply(inverse(multiply(inverse(X2),multiply(X3,c3))),X4)) ),
% 0.58/1.01 inference(instr,[status(thm)],['0.20.2.0',theory(equality)])).
% 0.58/1.01 cnf('0.20.2.2',plain,
% 0.58/1.01 ( multiply(c3,multiply(inverse(multiply(inverse(X2),multiply(X3,c3))),X4)) = multiply(X1,multiply(inverse(multiply(inverse(X2),multiply(X3,X1))),X4)) ),
% 0.58/1.01 inference(instl,[status(thm)],['0.20.2.0',theory(equality)])).
% 0.58/1.01 cnf('0.21.0.0',plain,
% 0.58/1.01 ( multiply(X1,multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X4))),inverse(multiply(X3,multiply(inverse(X3),X3))))),multiply(X5,X1))),X6)) = multiply(X7,multiply(inverse(multiply(X4,multiply(X5,X7))),X6)) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.20.2.0','0.7.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2.1.1.1','L')]).
% 0.58/1.01 cnf('0.21.0.1',plain,
% 0.58/1.01 ( multiply(X1,multiply(inverse(multiply(X4,multiply(X5,X1))),X6)) = multiply(X7,multiply(inverse(multiply(X4,multiply(X5,X7))),X6)) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.21.0.0','0.7.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2.1.1.1','L')]).
% 0.58/1.01 cnf('0.21.1.0',plain,
% 0.58/1.01 ( multiply(X1,multiply(inverse(multiply(X4,multiply(X5,X1))),X6)) = multiply(X7,multiply(inverse(multiply(X4,multiply(X5,X7))),X6)) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.21.0.1']),
% 0.58/1.01 [weight('<440,20,7,[1,0,0,5]>')]).
% 0.58/1.01 cnf('0.21.2.0',plain,
% 0.58/1.01 ( multiply(X1,multiply(inverse(multiply(X2,multiply(X3,X1))),X4)) = multiply(X5,multiply(inverse(multiply(X2,multiply(X3,X5))),X4)) ),
% 0.58/1.01 inference(activate,[status(thm)],['0.21.1.0']),
% 0.58/1.01 [equation_10]).
% 0.58/1.01 cnf('0.21.2.1',plain,
% 0.58/1.01 ( multiply(X1,multiply(inverse(multiply(X2,multiply(X3,X1))),X4)) = multiply(c3,multiply(inverse(multiply(X2,multiply(X3,c3))),X4)) ),
% 0.58/1.01 inference(instr,[status(thm)],['0.21.2.0',theory(equality)])).
% 0.58/1.01 cnf('0.21.2.2',plain,
% 0.58/1.01 ( multiply(c3,multiply(inverse(multiply(X2,multiply(X3,c3))),X4)) = multiply(X1,multiply(inverse(multiply(X2,multiply(X3,X1))),X4)) ),
% 0.58/1.01 inference(instl,[status(thm)],['0.21.2.0',theory(equality)])).
% 0.58/1.01 cnf('0.23.0.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,multiply(X2,inverse(multiply(X3,X4))))),X5) = multiply(X3,inverse(multiply(inverse(multiply(X6,multiply(inverse(multiply(X1,multiply(X2,X6))),X5))),inverse(multiply(X4,multiply(inverse(X4),X4)))))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.1.2.0','0.21.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2.1.1.1','L')]).
% 0.58/1.01 cnf('0.23.1.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,multiply(X2,inverse(multiply(X3,X4))))),X5) = multiply(X3,inverse(multiply(inverse(multiply(X6,multiply(inverse(multiply(X1,multiply(X2,X6))),X5))),inverse(multiply(X4,multiply(inverse(X4),X4)))))) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.58/1.01 [weight('<781,21,1,[0,0,0,5]>')]).
% 0.58/1.01 cnf('0.23.2.0',plain,
% 0.58/1.01 ( multiply(X1,inverse(multiply(inverse(multiply(X2,multiply(inverse(multiply(X3,multiply(X4,X2))),X5))),inverse(multiply(X6,multiply(inverse(X6),X6)))))) = multiply(inverse(multiply(X3,multiply(X4,inverse(multiply(X1,X6))))),X5) ),
% 0.58/1.01 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_12]).
% 0.58/1.01 cnf('0.24.0.0',plain,
% 0.58/1.01 ( inverse(multiply(X1,multiply(inverse(X1),X1))) = multiply(inverse(multiply(X2,X1)),inverse(multiply(X3,inverse(multiply(multiply(X2,X3),multiply(inverse(multiply(X2,X3)),multiply(X2,X3))))))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.1.2.0','0.7.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2.1.1','L')]).
% 0.58/1.01 cnf('0.24.1.0',plain,
% 0.58/1.01 ( inverse(multiply(X1,multiply(inverse(X1),X1))) = multiply(inverse(multiply(X2,X1)),inverse(multiply(X3,inverse(multiply(multiply(X2,X3),multiply(inverse(multiply(X2,X3)),multiply(X2,X3))))))) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.58/1.01 [weight('<840,7,1,[0,0,0,4]>')]).
% 0.58/1.01 cnf('0.24.2.0',plain,
% 0.58/1.01 ( inverse(multiply(X1,multiply(inverse(X1),X1))) = multiply(inverse(multiply(X2,X1)),inverse(multiply(X3,inverse(multiply(multiply(X2,X3),multiply(inverse(multiply(X2,X3)),multiply(X2,X3))))))) ),
% 0.58/1.01 inference(activate,[status(thm)],['0.24.1.0']),
% 0.58/1.01 [equation_12]).
% 0.58/1.01 cnf('0.24.2.1',plain,
% 0.58/1.01 ( inverse(multiply(X1,multiply(inverse(X1),X1))) = multiply(inverse(multiply(c3,X1)),inverse(multiply(c3,inverse(multiply(multiply(c3,c3),multiply(inverse(multiply(c3,c3)),multiply(c3,c3))))))) ),
% 0.58/1.01 inference(instr,[status(thm)],['0.24.2.0',theory(equality)])).
% 0.58/1.01 cnf('0.25.0.0',plain,
% 0.58/1.01 ( X1 = multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X1)))),inverse(multiply(X3,multiply(inverse(X3),X3)))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.3.2.0','0.24.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2','R')]).
% 0.58/1.01 cnf('0.25.1.0',plain,
% 0.58/1.01 ( X1 = multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X1)))),inverse(multiply(X3,multiply(inverse(X3),X3)))) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.58/1.01 [weight('<379,24,3,[0,1,0,5]>')]).
% 0.58/1.01 cnf('0.25.2.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),inverse(multiply(X2,multiply(inverse(X2),X2)))) = X3 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_13]).
% 0.58/1.01 cnf('0.26.0.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(X3,X4))))),inverse(multiply(X2,multiply(inverse(X2),X2)))) = multiply(X3,inverse(multiply(inverse(multiply(inverse(X5),X5)),inverse(multiply(X4,multiply(inverse(X4),X4)))))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.23.2.0','0.25.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2.1.1.1.2','L')]).
% 0.58/1.01 cnf('0.26.0.1',plain,
% 0.58/1.01 ( multiply(X3,X4) = multiply(X3,inverse(multiply(inverse(multiply(inverse(X5),X5)),inverse(multiply(X4,multiply(inverse(X4),X4)))))) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.26.0.0','0.25.2.0',theory(equality)]),
% 0.58/1.01 [pos('L','L')]).
% 0.58/1.01 cnf('0.26.1.0',plain,
% 0.58/1.01 ( multiply(X3,X4) = multiply(X3,inverse(multiply(inverse(multiply(inverse(X5),X5)),inverse(multiply(X4,multiply(inverse(X4),X4)))))) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.26.0.1']),
% 0.58/1.01 [weight('<339,25,23,[0,0,0,7]>')]).
% 0.58/1.01 cnf('0.26.2.0',plain,
% 0.58/1.01 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(X3,multiply(inverse(X3),X3)))))) = multiply(X1,X3) ),
% 0.58/1.01 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_14]).
% 0.58/1.01 cnf('0.27.0.0',plain,
% 0.58/1.01 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(X2,X3)),multiply(X2,X3)) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.3.2.0','0.26.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2','L')]).
% 0.58/1.01 cnf('0.27.1.0',plain,
% 0.58/1.01 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(X2,X3)),multiply(X2,X3)) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.58/1.01 [weight('<168,26,3,[0,0,0,5]>')]).
% 0.58/1.01 cnf('0.27.2.0',plain,
% 0.58/1.01 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(X2,X3)),multiply(X2,X3)) ),
% 0.58/1.01 inference(activate,[status(thm)],['0.27.1.0']),
% 0.58/1.01 [equation_13]).
% 0.58/1.01 cnf('0.27.2.1',plain,
% 0.58/1.01 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(c3,c3)),multiply(c3,c3)) ),
% 0.58/1.01 inference(instr,[status(thm)],['0.27.2.0',theory(equality)])).
% 0.58/1.01 cnf('0.27.2.2',plain,
% 0.58/1.01 ( multiply(inverse(c3),c3) = multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) ),
% 0.58/1.01 inference(instl,[status(thm)],['0.27.2.0',theory(equality)])).
% 0.58/1.01 cnf('0.28.0.0',plain,
% 0.58/1.01 ( multiply(inverse(X1),X1) = multiply(inverse(X2),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),X2)),inverse(multiply(X4,multiply(inverse(X4),X4))))))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.27.2.0','0.1.2.0',theory(equality)]),
% 0.58/1.01 [pos('R.1.1','L')]).
% 0.58/1.01 cnf('0.28.0.1',plain,
% 0.58/1.01 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.28.0.0','0.1.2.0',theory(equality)]),
% 0.58/1.01 [pos('R.2','L')]).
% 0.58/1.01 cnf('0.28.1.0',plain,
% 0.58/1.01 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.28.0.1']),
% 0.58/1.01 [weight('<80,27,1,[1,1,0,2]>')]).
% 0.58/1.01 cnf('0.28.2.0',plain,
% 0.58/1.01 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 0.58/1.01 inference(activate,[status(thm)],['0.28.1.0']),
% 0.58/1.01 [equation_14]).
% 0.58/1.01 cnf('0.28.2.1',plain,
% 0.58/1.01 ( multiply(inverse(X1),X1) = multiply(inverse(c3),c3) ),
% 0.58/1.01 inference(instr,[status(thm)],['0.28.2.0',theory(equality)])).
% 0.58/1.01 cnf('0.28.2.2',plain,
% 0.58/1.01 ( multiply(inverse(c3),c3) = multiply(inverse(X1),X1) ),
% 0.58/1.01 inference(instl,[status(thm)],['0.28.2.0',theory(equality)])).
% 0.58/1.01 cnf('0.29.0.0',plain,
% 0.58/1.01 ( inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(X2,multiply(inverse(X2),X2))))) = multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),X2)),inverse(multiply(X4,multiply(inverse(X4),X4)))))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.1.2.0','0.26.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2.1.1.1','L')]).
% 0.58/1.01 cnf('0.29.0.1',plain,
% 0.58/1.01 ( inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(X2,multiply(inverse(X2),X2))))) = X2 ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.29.0.0','0.1.2.0',theory(equality)]),
% 0.58/1.01 [pos('R','L')]).
% 0.58/1.01 cnf('0.29.1.0',plain,
% 0.58/1.01 ( inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(X2,multiply(inverse(X2),X2))))) = X2 ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.29.0.1']),
% 0.58/1.01 [weight('<239,26,1,[0,0,0,5]>')]).
% 0.58/1.01 cnf('0.29.2.0',plain,
% 0.58/1.01 ( inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(X2,multiply(inverse(X2),X2))))) = X2 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.58/1.01 [u,rule_15]).
% 0.58/1.01 cnf('0.30.0.0',plain,
% 0.58/1.01 ( X1 = inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(X1,multiply(inverse(X3),X3))))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.29.2.0','0.28.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1.2.1.2','L')]).
% 0.58/1.01 cnf('0.30.1.0',plain,
% 0.58/1.01 ( X1 = inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(X1,multiply(inverse(X3),X3))))) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.58/1.01 [weight('<239,29,28,[1,0,0,10]>')]).
% 0.58/1.01 cnf('0.30.2.0',plain,
% 0.58/1.01 ( inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(X2,multiply(inverse(X3),X3))))) = X2 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_16]).
% 0.58/1.01 cnf('0.31.0.0',plain,
% 0.58/1.01 ( X1 = multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X1),multiply(inverse(inverse(X1)),inverse(X1))))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.25.2.0','0.28.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1.1','L')]).
% 0.58/1.01 cnf('0.31.1.0',plain,
% 0.58/1.01 ( X1 = multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X1),multiply(inverse(inverse(X1)),inverse(X1))))) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.31.0.0']),
% 0.58/1.01 [weight('<305,28,25,[0,0,0,2]>')]).
% 0.58/1.01 cnf('0.31.1.1',plain,
% 0.58/1.01 ( X1 = multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X1),multiply(inverse(c3),c3)))) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.31.1.0','0.28.2.1',theory(equality)]),
% 0.58/1.01 [pos('R.2.1.2','L')]).
% 0.58/1.01 cnf('0.31.2.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),multiply(inverse(c3),c3)))) = X2 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.31.1.1',theory(equality)]),
% 0.58/1.01 [x,rule_17]).
% 0.58/1.01 cnf('0.32.0.0',plain,
% 0.58/1.01 ( multiply(inverse(c3),c3) = multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.31.2.0','0.28.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2.1','L')]).
% 0.58/1.01 cnf('0.32.1.0',plain,
% 0.58/1.01 ( multiply(inverse(c3),c3) = multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2))) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.32.0.0']),
% 0.58/1.01 [weight('<191,31,28,[1,0,0,7]>')]).
% 0.58/1.01 cnf('0.32.2.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2))) = multiply(inverse(c3),c3) ),
% 0.58/1.01 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_18]).
% 0.58/1.01 cnf('0.33.0.0',plain,
% 0.58/1.01 ( inverse(multiply(inverse(X1),X1)) = multiply(inverse(X2),inverse(multiply(inverse(multiply(inverse(c3),c3)),inverse(multiply(X2,multiply(inverse(X2),X2)))))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.1.2.0','0.32.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2.1.1.1','L')]).
% 0.58/1.01 cnf('0.33.0.1',plain,
% 0.58/1.01 ( inverse(multiply(inverse(X1),X1)) = multiply(inverse(X2),X2) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.33.0.0','0.30.2.0',theory(equality)]),
% 0.58/1.01 [pos('R.2','L')]).
% 0.58/1.01 cnf('0.33.1.0',plain,
% 0.58/1.01 ( inverse(multiply(inverse(X1),X1)) = multiply(inverse(X2),X2) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.33.0.1']),
% 0.58/1.01 [weight('<99,32,1,[0,0,0,5]>')]).
% 0.58/1.01 cnf('0.33.2.0',plain,
% 0.58/1.01 ( inverse(multiply(inverse(X1),X1)) = multiply(inverse(X2),X2) ),
% 0.58/1.01 inference(activate,[status(thm)],['0.33.1.0']),
% 0.58/1.01 [equation_15]).
% 0.58/1.01 cnf('0.33.2.1',plain,
% 0.58/1.01 ( inverse(multiply(inverse(X1),X1)) = multiply(inverse(c3),c3) ),
% 0.58/1.01 inference(instr,[status(thm)],['0.33.2.0',theory(equality)])).
% 0.58/1.01 cnf('0.33.2.2',plain,
% 0.58/1.01 ( inverse(multiply(inverse(c3),c3)) = multiply(inverse(X1),X1) ),
% 0.58/1.01 inference(instl,[status(thm)],['0.33.2.0',theory(equality)])).
% 0.58/1.01 cnf('0.37.0.0',plain,
% 0.58/1.01 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),inverse(multiply(X2,multiply(inverse(X2),X2)))))) = inverse(multiply(multiply(inverse(X4),X4),inverse(multiply(X3,multiply(inverse(X3),X3))))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.2.2.0','0.33.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1.1','L')]).
% 0.58/1.01 cnf('0.37.0.1',plain,
% 0.58/1.01 ( X3 = inverse(multiply(multiply(inverse(X4),X4),inverse(multiply(X3,multiply(inverse(X3),X3))))) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.37.0.0','0.1.2.0',theory(equality)]),
% 0.58/1.01 [pos('L','L')]).
% 0.58/1.01 cnf('0.37.1.0',plain,
% 0.58/1.01 ( X3 = inverse(multiply(multiply(inverse(X4),X4),inverse(multiply(X3,multiply(inverse(X3),X3))))) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.37.0.1']),
% 0.58/1.01 [weight('<209,33,2,[0,0,0,2]>')]).
% 0.58/1.01 cnf('0.37.2.0',plain,
% 0.58/1.01 ( inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(X2,multiply(inverse(X2),X2))))) = X2 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_22]).
% 0.58/1.01 cnf('0.38.0.0',plain,
% 0.58/1.01 ( X1 = inverse(multiply(multiply(inverse(X2),X2),inverse(multiply(X1,multiply(inverse(X3),X3))))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.37.2.0','0.28.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1.2.1.2','L')]).
% 0.58/1.01 cnf('0.38.1.0',plain,
% 0.58/1.01 ( X1 = inverse(multiply(multiply(inverse(X2),X2),inverse(multiply(X1,multiply(inverse(X3),X3))))) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.38.0.0']),
% 0.58/1.01 [weight('<209,37,28,[1,0,0,9]>')]).
% 0.58/1.01 cnf('0.38.2.0',plain,
% 0.58/1.01 ( inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(X2,multiply(inverse(X3),X3))))) = X2 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_23]).
% 0.58/1.01 cnf('0.39.0.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),multiply(inverse(c3),c3)))) = X2 ),
% 0.58/1.01 inference(interreduction_right,[status(thm)],['0.31.2.0'])).
% 0.58/1.01 cnf('0.39.1.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),multiply(inverse(c3),c3)))) = X2 ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.39.0.0']),
% 0.58/1.01 [weight('<239,31,33,[0,0,0,0]>')]).
% 0.58/1.01 cnf('0.39.1.1',plain,
% 0.58/1.01 ( multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(X2),multiply(inverse(c3),c3)))) = X2 ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.39.1.0','0.33.2.1',theory(equality)]),
% 0.58/1.01 [pos('L.1','L')]).
% 0.58/1.01 cnf('0.39.2.0',plain,
% 0.58/1.01 ( multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(X1),multiply(inverse(c3),c3)))) = X1 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.39.1.1',theory(equality)]),
% 0.58/1.01 [u,rule_24]).
% 0.58/1.01 cnf('0.40.0.0',plain,
% 0.58/1.01 ( X1 = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X1),multiply(inverse(c3),c3)))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.39.2.0','0.28.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1','L')]).
% 0.58/1.01 cnf('0.40.1.0',plain,
% 0.58/1.01 ( X1 = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X1),multiply(inverse(c3),c3)))) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.40.0.0']),
% 0.58/1.01 [weight('<209,39,28,[1,0,0,1]>')]).
% 0.58/1.01 cnf('0.40.2.0',plain,
% 0.58/1.01 ( multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),multiply(inverse(c3),c3)))) = X2 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_25]).
% 0.58/1.01 cnf('0.41.0.0',plain,
% 0.58/1.01 ( X1 = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X1),multiply(inverse(X3),X3)))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.40.2.0','0.28.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2.1.2','L')]).
% 0.58/1.01 cnf('0.41.1.0',plain,
% 0.58/1.01 ( X1 = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X1),multiply(inverse(X3),X3)))) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.41.0.0']),
% 0.58/1.01 [weight('<209,40,28,[1,0,0,9]>')]).
% 0.58/1.01 cnf('0.41.2.0',plain,
% 0.58/1.01 ( multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),multiply(inverse(X3),X3)))) = X2 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_26]).
% 0.58/1.01 cnf('0.44.0.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(multiply(inverse(X4),X4),multiply(inverse(X2),X3)) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.6.2.0','0.33.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1','L')]).
% 0.58/1.01 cnf('0.44.1.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(multiply(inverse(X4),X4),multiply(inverse(X2),X3)) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.44.0.0']),
% 0.58/1.01 [weight('<323,33,6,[0,0,0,1]>')]).
% 0.58/1.01 cnf('0.44.2.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(multiply(inverse(X4),X4),multiply(inverse(X2),X3)) ),
% 0.58/1.01 inference(activate,[status(thm)],['0.44.1.0']),
% 0.58/1.01 [equation_16]).
% 0.58/1.01 cnf('0.44.2.1',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(multiply(inverse(c3),c3),multiply(inverse(X2),X3)) ),
% 0.58/1.01 inference(instr,[status(thm)],['0.44.2.0',theory(equality)])).
% 0.58/1.01 cnf('0.44.2.2',plain,
% 0.58/1.01 ( multiply(inverse(multiply(c3,X2)),multiply(c3,X3)) = multiply(multiply(inverse(X1),X1),multiply(inverse(X2),X3)) ),
% 0.58/1.01 inference(instl,[status(thm)],['0.44.2.0',theory(equality)])).
% 0.58/1.01 cnf('0.46.0.0',plain,
% 0.58/1.01 ( inverse(multiply(X1,multiply(inverse(X1),X1))) = multiply(inverse(multiply(X2,X1)),multiply(X2,multiply(inverse(X3),X3))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.3.2.0','0.33.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2.2','L')]).
% 0.58/1.01 cnf('0.46.1.0',plain,
% 0.58/1.01 ( inverse(multiply(X1,multiply(inverse(X1),X1))) = multiply(inverse(multiply(X2,X1)),multiply(X2,multiply(inverse(X3),X3))) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.46.0.0']),
% 0.58/1.01 [weight('<360,33,3,[0,0,0,7]>')]).
% 0.58/1.01 cnf('0.46.2.0',plain,
% 0.58/1.01 ( inverse(multiply(X1,multiply(inverse(X1),X1))) = multiply(inverse(multiply(X2,X1)),multiply(X2,multiply(inverse(X3),X3))) ),
% 0.58/1.01 inference(activate,[status(thm)],['0.46.1.0']),
% 0.58/1.01 [equation_18]).
% 0.58/1.01 cnf('0.46.2.1',plain,
% 0.58/1.01 ( inverse(multiply(X1,multiply(inverse(X1),X1))) = multiply(inverse(multiply(c3,X1)),multiply(c3,multiply(inverse(c3),c3))) ),
% 0.58/1.01 inference(instr,[status(thm)],['0.46.2.0',theory(equality)])).
% 0.58/1.01 cnf('0.47.0.0',plain,
% 0.58/1.01 ( X1 = inverse(multiply(multiply(inverse(X2),X2),multiply(inverse(multiply(X3,X1)),multiply(X3,multiply(inverse(X4),X4))))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.38.2.0','0.46.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1.2','L')]).
% 0.58/1.01 cnf('0.47.1.0',plain,
% 0.58/1.01 ( X1 = inverse(multiply(multiply(inverse(X2),X2),multiply(inverse(multiply(X3,X1)),multiply(X3,multiply(inverse(X4),X4))))) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.47.0.0']),
% 0.58/1.01 [weight('<341,46,38,[0,0,0,6]>')]).
% 0.58/1.01 cnf('0.47.1.1',plain,
% 0.58/1.01 ( X1 = inverse(multiply(inverse(multiply(c3,multiply(X3,X1))),multiply(c3,multiply(X3,multiply(inverse(X4),X4))))) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.47.1.0','0.44.2.2',theory(equality)]),
% 0.58/1.01 [pos('R.1','R')]).
% 0.58/1.01 cnf('0.47.2.0',plain,
% 0.58/1.01 ( inverse(multiply(inverse(multiply(c3,multiply(X1,X2))),multiply(c3,multiply(X1,multiply(inverse(X3),X3))))) = X2 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.47.1.1',theory(equality)]),
% 0.58/1.01 [x,rule_29]).
% 0.58/1.01 cnf('0.48.0.0',plain,
% 0.58/1.01 ( X1 = inverse(multiply(inverse(multiply(X2,multiply(X3,X1))),multiply(X2,multiply(X3,multiply(inverse(X4),X4))))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.47.2.0','0.6.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1','L')]).
% 0.58/1.01 cnf('0.48.1.0',plain,
% 0.58/1.01 ( X1 = inverse(multiply(inverse(multiply(X2,multiply(X3,X1))),multiply(X2,multiply(X3,multiply(inverse(X4),X4))))) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.48.0.0']),
% 0.58/1.01 [weight('<305,47,6,[1,0,0,1]>')]).
% 0.58/1.01 cnf('0.48.2.0',plain,
% 0.58/1.01 ( inverse(multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,multiply(inverse(X4),X4))))) = X3 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_30]).
% 0.58/1.01 cnf('0.49.0.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,X3)) = multiply(multiply(inverse(X4),X4),X3) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.41.2.0','0.48.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2','L')]).
% 0.58/1.01 cnf('0.49.1.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,X3)) = multiply(multiply(inverse(X4),X4),X3) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.49.0.0']),
% 0.58/1.01 [weight('<323,48,41,[0,0,0,5]>')]).
% 0.58/1.01 cnf('0.49.2.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,X3)) = multiply(multiply(inverse(X4),X4),X3) ),
% 0.58/1.01 inference(activate,[status(thm)],['0.49.1.0']),
% 0.58/1.01 [equation_19]).
% 0.58/1.01 cnf('0.49.2.1',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,X3)) = multiply(multiply(inverse(c3),c3),X3) ),
% 0.58/1.01 inference(instr,[status(thm)],['0.49.2.0',theory(equality)])).
% 0.58/1.01 cnf('0.49.2.2',plain,
% 0.58/1.01 ( multiply(inverse(multiply(c3,multiply(inverse(c3),c3))),multiply(c3,X2)) = multiply(multiply(inverse(X1),X1),X2) ),
% 0.58/1.01 inference(instl,[status(thm)],['0.49.2.0',theory(equality)])).
% 0.58/1.01 cnf('0.50.0.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(X3),X3),X4)),X5)),inverse(multiply(X4,multiply(inverse(X4),X4))))))) = X5 ),
% 0.58/1.01 inference(cp,[status(thm)],['0.49.2.0','0.1.2.0',theory(equality)]),
% 0.58/1.01 [pos('R','L')]).
% 0.58/1.01 cnf('0.50.0.1',plain,
% 0.58/1.01 ( multiply(inverse(multiply(multiply(inverse(X3),X3),multiply(inverse(X2),X2))),X5) = X5 ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.50.0.0','0.11.2.0',theory(equality)]),
% 0.58/1.01 [pos('L','L')]).
% 0.58/1.01 cnf('0.50.1.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(multiply(inverse(X3),X3),multiply(inverse(X2),X2))),X5) = X5 ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.50.0.1']),
% 0.58/1.01 [weight('<181,49,1,[1,1,0,0]>')]).
% 0.58/1.01 cnf('0.50.1.1',plain,
% 0.58/1.01 ( multiply(inverse(multiply(inverse(multiply(c3,X2)),multiply(c3,X2))),X5) = X5 ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.50.1.0','0.44.2.2',theory(equality)]),
% 0.58/1.01 [pos('L.1.1','R')]).
% 0.58/1.01 cnf('0.50.1.2',plain,
% 0.58/1.01 ( multiply(inverse(inverse(multiply(inverse(c3),c3))),X5) = X5 ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.50.1.1','0.33.2.2',theory(equality)]),
% 0.58/1.01 [pos('L.1.1','R')]).
% 0.58/1.01 cnf('0.50.1.3',plain,
% 0.58/1.01 ( multiply(inverse(multiply(inverse(c3),c3)),X5) = X5 ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.50.1.2','0.33.2.1',theory(equality)]),
% 0.58/1.01 [pos('L.1.1','L')]).
% 0.58/1.01 cnf('0.50.1.4',plain,
% 0.58/1.01 ( multiply(multiply(inverse(c3),c3),X5) = X5 ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.50.1.3','0.33.2.1',theory(equality)]),
% 0.58/1.01 [pos('L.1','L')]).
% 0.58/1.01 cnf('0.50.2.0',plain,
% 0.58/1.01 ( multiply(multiply(inverse(c3),c3),X1) = X1 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.50.1.4',theory(equality)]),
% 0.58/1.01 [u,rule_31]).
% 0.58/1.01 cnf('0.51.0.0',plain,
% 0.58/1.01 ( X1 = multiply(multiply(inverse(X2),X2),X1) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.50.2.0','0.28.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1','L')]).
% 0.58/1.01 cnf('0.51.1.0',plain,
% 0.58/1.01 ( X1 = multiply(multiply(inverse(X2),X2),X1) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.51.0.0']),
% 0.58/1.01 [weight('<55,50,28,[1,0,0,1]>')]).
% 0.58/1.01 cnf('0.51.2.0',plain,
% 0.58/1.01 ( multiply(multiply(inverse(X1),X1),X2) = X2 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_32]).
% 0.58/1.01 cnf('0.52.0.0',plain,
% 0.58/1.01 ( inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(X2,multiply(inverse(X3),X3))))) = X2 ),
% 0.58/1.01 inference(interreduction_right,[status(thm)],['0.38.2.0'])).
% 0.58/1.01 cnf('0.52.0.1',plain,
% 0.58/1.01 ( inverse(inverse(multiply(X2,multiply(inverse(X3),X3)))) = X2 ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.52.0.0','0.51.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1','L')]).
% 0.58/1.01 cnf('0.52.1.0',plain,
% 0.58/1.01 ( inverse(inverse(multiply(X2,multiply(inverse(X3),X3)))) = X2 ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.52.0.1']),
% 0.58/1.01 [weight('<89,38,51,[0,0,0,0]>')]).
% 0.58/1.01 cnf('0.52.2.0',plain,
% 0.58/1.01 ( inverse(inverse(multiply(X1,multiply(inverse(X2),X2)))) = X1 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 0.58/1.01 [u,rule_33]).
% 0.58/1.01 cnf('0.54.0.0',plain,
% 0.58/1.01 ( multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),multiply(inverse(X3),X3)))) = X2 ),
% 0.58/1.01 inference(interreduction_right,[status(thm)],['0.41.2.0'])).
% 0.58/1.01 cnf('0.54.0.1',plain,
% 0.58/1.01 ( inverse(multiply(inverse(X2),multiply(inverse(X3),X3))) = X2 ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.54.0.0','0.51.2.0',theory(equality)]),
% 0.58/1.01 [pos('L','L')]).
% 0.58/1.01 cnf('0.54.1.0',plain,
% 0.58/1.01 ( inverse(multiply(inverse(X2),multiply(inverse(X3),X3))) = X2 ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.54.0.1']),
% 0.58/1.01 [weight('<89,41,51,[0,0,0,0]>')]).
% 0.58/1.01 cnf('0.54.2.0',plain,
% 0.58/1.01 ( inverse(multiply(inverse(X1),multiply(inverse(X2),X2))) = X1 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 0.58/1.01 [u,rule_34]).
% 0.58/1.01 cnf('0.55.0.0',plain,
% 0.58/1.01 ( X1 = multiply(inverse(X2),inverse(multiply(inverse(multiply(X2,X1)),inverse(multiply(multiply(inverse(X3),X3),multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3))))))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.1.2.0','0.54.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2.1.1.1.1','L')]).
% 0.58/1.01 cnf('0.55.0.1',plain,
% 0.58/1.01 ( X1 = multiply(inverse(X2),inverse(multiply(inverse(multiply(X2,X1)),inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))))) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.55.0.0','0.51.2.0',theory(equality)]),
% 0.58/1.01 [pos('R.2.1.2.1','L')]).
% 0.58/1.01 cnf('0.55.0.2',plain,
% 0.58/1.01 ( X1 = multiply(inverse(X2),inverse(multiply(inverse(multiply(X2,X1)),multiply(inverse(X3),X3)))) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.55.0.1','0.54.2.0',theory(equality)]),
% 0.58/1.01 [pos('R.2.1.2','L')]).
% 0.58/1.01 cnf('0.55.0.3',plain,
% 0.58/1.01 ( X1 = multiply(inverse(X2),multiply(X2,X1)) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.55.0.2','0.54.2.0',theory(equality)]),
% 0.58/1.01 [pos('R.2','L')]).
% 0.58/1.01 cnf('0.55.1.0',plain,
% 0.58/1.01 ( X1 = multiply(inverse(X2),multiply(X2,X1)) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.55.0.3']),
% 0.58/1.01 [weight('<55,54,1,[0,0,0,6]>')]).
% 0.58/1.01 cnf('0.55.2.0',plain,
% 0.58/1.01 ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_35]).
% 0.58/1.01 cnf('0.56.0.0',plain,
% 0.58/1.01 ( multiply(X1,X2) = multiply(inverse(inverse(X1)),X2) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.55.2.0','0.55.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2','L')]).
% 0.58/1.01 cnf('0.56.1.0',plain,
% 0.58/1.01 ( multiply(X1,X2) = multiply(inverse(inverse(X1)),X2) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.56.0.0']),
% 0.58/1.01 [weight('<53,55,55,[0,0,0,3]>')]).
% 0.58/1.01 cnf('0.56.2.0',plain,
% 0.58/1.01 ( multiply(inverse(inverse(X1)),X2) = multiply(X1,X2) ),
% 0.58/1.01 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_36]).
% 0.58/1.01 cnf('0.57.0.0',plain,
% 0.58/1.01 ( inverse(inverse(X1)) = inverse(inverse(multiply(X1,multiply(inverse(X2),X2)))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.52.2.0','0.56.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1.1','L')]).
% 0.58/1.01 cnf('0.57.0.1',plain,
% 0.58/1.01 ( inverse(inverse(X1)) = X1 ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.57.0.0','0.52.2.0',theory(equality)]),
% 0.58/1.01 [pos('R','L')]).
% 0.58/1.01 cnf('0.57.1.0',plain,
% 0.58/1.01 ( inverse(inverse(X1)) = X1 ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.57.0.1']),
% 0.58/1.01 [weight('<19,56,52,[0,0,0,2]>')]).
% 0.58/1.01 cnf('0.57.2.0',plain,
% 0.58/1.01 ( inverse(inverse(X1)) = X1 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 0.58/1.01 [u,rule_37]).
% 0.58/1.01 cnf('0.58.0.0',plain,
% 0.58/1.01 ( inverse(inverse(multiply(X1,multiply(inverse(X2),X2)))) = X1 ),
% 0.58/1.01 inference(interreduction_right,[status(thm)],['0.52.2.0'])).
% 0.58/1.01 cnf('0.58.0.1',plain,
% 0.58/1.01 ( multiply(X1,multiply(inverse(X2),X2)) = X1 ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.58.0.0','0.57.2.0',theory(equality)]),
% 0.58/1.01 [pos('L','L')]).
% 0.58/1.01 cnf('0.58.1.0',plain,
% 0.58/1.01 ( multiply(X1,multiply(inverse(X2),X2)) = X1 ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.58.0.1']),
% 0.58/1.01 [weight('<55,52,57,[0,0,0,0]>')]).
% 0.58/1.01 cnf('0.58.2.0',plain,
% 0.58/1.01 ( multiply(X1,multiply(inverse(X2),X2)) = X1 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 0.58/1.01 [u,rule_38]).
% 0.58/1.01 cnf('0.59.0.0',plain,
% 0.58/1.01 ( X1 = multiply(multiply(X2,inverse(X2)),X1) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.51.2.0','0.57.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1.1','L')]).
% 0.58/1.01 cnf('0.59.1.0',plain,
% 0.58/1.01 ( X1 = multiply(multiply(X2,inverse(X2)),X1) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.59.0.0']),
% 0.58/1.01 [weight('<55,57,51,[0,0,0,2]>')]).
% 0.58/1.01 cnf('0.59.2.0',plain,
% 0.58/1.01 ( multiply(multiply(X1,inverse(X1)),X2) = X2 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_39]).
% 0.58/1.01 cnf('0.61.0.0',plain,
% 0.58/1.01 ( X1 = multiply(X1,multiply(X2,inverse(X2))) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.58.2.0','0.57.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2.1','L')]).
% 0.58/1.01 cnf('0.61.1.0',plain,
% 0.58/1.01 ( X1 = multiply(X1,multiply(X2,inverse(X2))) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.61.0.0']),
% 0.58/1.01 [weight('<55,58,57,[1,0,0,3]>')]).
% 0.58/1.01 cnf('0.61.2.0',plain,
% 0.58/1.01 ( multiply(X1,multiply(X2,inverse(X2))) = X1 ),
% 0.58/1.01 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_41]).
% 0.58/1.01 cnf('0.62.0.0',plain,
% 0.58/1.01 ( inverse(multiply(X1,multiply(inverse(X1),X1))) = multiply(inverse(multiply(X2,X1)),multiply(X2,multiply(inverse(X3),X3))) ),
% 0.58/1.01 inference(interreduction_right,[status(thm)],['0.46.2.0'])).
% 0.58/1.01 cnf('0.62.0.1',plain,
% 0.58/1.01 ( inverse(X1) = multiply(inverse(multiply(X2,X1)),multiply(X2,multiply(inverse(X3),X3))) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.62.0.0','0.58.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1','L')]).
% 0.58/1.01 cnf('0.62.0.2',plain,
% 0.58/1.01 ( inverse(X1) = multiply(inverse(multiply(X2,X1)),X2) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.62.0.1','0.58.2.0',theory(equality)]),
% 0.58/1.01 [pos('R.2','L')]).
% 0.58/1.01 cnf('0.62.1.0',plain,
% 0.58/1.01 ( inverse(X1) = multiply(inverse(multiply(X2,X1)),X2) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.62.0.2']),
% 0.58/1.01 [weight('<62,46,58,[0,0,0,0]>')]).
% 0.58/1.01 cnf('0.62.2.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,X2)),X1) = inverse(X2) ),
% 0.58/1.01 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_42]).
% 0.58/1.01 cnf('0.65.0.0',plain,
% 0.58/1.01 ( inverse(multiply(X1,X2)) = multiply(inverse(X2),inverse(X1)) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.62.2.0','0.55.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1.1','L')]).
% 0.58/1.01 cnf('0.65.1.0',plain,
% 0.58/1.01 ( inverse(multiply(X1,X2)) = multiply(inverse(X2),inverse(X1)) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.65.0.0']),
% 0.58/1.01 [weight('<59,62,55,[1,0,0,2]>')]).
% 0.58/1.01 cnf('0.65.2.0',plain,
% 0.58/1.01 ( multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)) ),
% 0.58/1.01 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_45]).
% 0.58/1.01 cnf('0.67.0.0',plain,
% 0.58/1.01 ( inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.65.2.0','0.57.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1','L')]).
% 0.58/1.01 cnf('0.67.1.0',plain,
% 0.58/1.01 ( inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.67.0.0']),
% 0.58/1.01 [weight('<59,65,57,[1,0,0,1]>')]).
% 0.58/1.01 cnf('0.67.2.0',plain,
% 0.58/1.01 ( inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)) ),
% 0.58/1.01 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 0.58/1.01 [u,rule_47]).
% 0.58/1.01 cnf('0.71.0.0',plain,
% 0.58/1.01 ( multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.61.2.0','0.59.2.0',theory(equality)]),
% 0.58/1.01 [pos('L','L')]).
% 0.58/1.01 cnf('0.71.1.0',plain,
% 0.58/1.01 ( multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.71.0.0']),
% 0.58/1.01 [weight('<80,61,59,[1,0,0,0]>')]).
% 0.58/1.01 cnf('0.71.2.0',plain,
% 0.58/1.01 ( multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)) ),
% 0.58/1.01 inference(activate,[status(thm)],['0.71.1.0']),
% 0.58/1.01 [equation_23]).
% 0.58/1.01 cnf('0.71.2.1',plain,
% 0.58/1.01 ( multiply(X1,inverse(X1)) = multiply(c3,inverse(c3)) ),
% 0.58/1.01 inference(instr,[status(thm)],['0.71.2.0',theory(equality)])).
% 0.58/1.01 cnf('0.71.2.2',plain,
% 0.58/1.01 ( multiply(c3,inverse(c3)) = multiply(X1,inverse(X1)) ),
% 0.58/1.01 inference(instl,[status(thm)],['0.71.2.0',theory(equality)])).
% 0.58/1.01 cnf('0.72.0.0',plain,
% 0.58/1.01 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(multiply(X4,inverse(X4))),multiply(X2,X3)) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.6.2.0','0.71.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1.1','L')]).
% 0.58/1.01 cnf('0.72.0.1',plain,
% 0.58/1.01 ( multiply(multiply(X2,inverse(X1)),multiply(X1,X3)) = multiply(inverse(multiply(X4,inverse(X4))),multiply(X2,X3)) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.72.0.0','0.67.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.1','L')]).
% 0.58/1.01 cnf('0.72.0.2',plain,
% 0.58/1.01 ( multiply(multiply(X2,inverse(X1)),multiply(X1,X3)) = multiply(multiply(X4,inverse(X4)),multiply(X2,X3)) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.72.0.1','0.67.2.0',theory(equality)]),
% 0.58/1.01 [pos('R.1','L')]).
% 0.58/1.01 cnf('0.72.0.3',plain,
% 0.58/1.01 ( multiply(multiply(X2,inverse(X1)),multiply(X1,X3)) = multiply(X2,X3) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.72.0.2','0.59.2.0',theory(equality)]),
% 0.58/1.01 [pos('R','L')]).
% 0.58/1.01 cnf('0.72.1.0',plain,
% 0.58/1.01 ( multiply(multiply(X2,inverse(X1)),multiply(X1,X3)) = multiply(X2,X3) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.72.0.3']),
% 0.58/1.01 [weight('<107,71,6,[0,0,0,2]>')]).
% 0.58/1.01 cnf('0.72.2.0',plain,
% 0.58/1.01 ( multiply(multiply(X1,inverse(X2)),multiply(X2,X3)) = multiply(X1,X3) ),
% 0.58/1.01 inference(orient,[status(thm)],['0.72.1.0',theory(equality)]),
% 0.58/1.01 [u,rule_49]).
% 0.58/1.01 cnf('0.73.0.0',plain,
% 0.58/1.01 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,inverse(inverse(X2))),X3) ),
% 0.58/1.01 inference(cp,[status(thm)],['0.72.2.0','0.55.2.0',theory(equality)]),
% 0.58/1.01 [pos('L.2','L')]).
% 0.58/1.01 cnf('0.73.0.1',plain,
% 0.58/1.01 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.58/1.01 inference(reduction,[status(thm)],['0.73.0.0','0.57.2.0',theory(equality)]),
% 0.58/1.01 [pos('R.1.2','L')]).
% 0.58/1.01 cnf('0.73.1.0',plain,
% 0.58/1.01 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.58/1.01 inference(weigh,[status(thm)],['0.73.0.1']),
% 0.58/1.01 [weight('<65,72,55,[1,0,0,5]>')]).
% 0.58/1.01 cnf('0.73.2.0',plain,
% 0.58/1.01 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.58/1.01 inference(orient,[status(thm)],['0.73.1.0',theory(equality)]),
% 0.58/1.01 [x,rule_50]).
% 0.58/1.01 cnf('1.0.0.0',conjecture,
% 0.58/1.01 ( multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.58/1.01 file('/tmp/WALDMEISTER_6201_n008',conjecture_1)).
% 0.58/1.01 cnf('1.0.0.1',plain,
% 0.58/1.01 ( multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)) ),
% 0.58/1.01 inference(reduction,[status(thm)],['1.0.0.0','0.73.2.0',theory(equality)]),
% 0.58/1.01 [pos('L','L')]).
% 0.58/1.01 cnf('1.0.0.2',plain,
% 0.58/1.01 ( $true ),
% 0.58/1.01 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.58/1.01 [conjecture_1]).
% 0.58/1.01
% 0.58/1.01 Proved Goals:
% 0.58/1.01 No. 1: multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) joined, current: multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3))
% 0.58/1.01 1 goal was specified, which was proved.
% 0.58/1.01 % SZS output end CNFRefutation
% 0.58/1.01 #END OF PROOF
% 0.58/1.01
% 0.58/1.01 Problem WALDMEISTER_6201_n008
% 0.58/1.01 CPs.gen 7619
% 0.58/1.01 CPs.reexp 0
% 0.58/1.01 Select 354
% 0.58/1.01 R 50
% 0.58/1.01 E 23
% 0.58/1.01 vsize 6.4M
% 0.58/1.01 rss 3.8M
% 0.58/1.01 process.time 0.064s
% 0.58/1.01 wallclock.time 0.064s
% 0.58/1.01 status S
% 0.58/1.01
% 0.58/1.01
% 0.58/1.01 Waldmeister states: Goal proved.
% 0.58/1.01 % SZS status Unsatisfiable
%------------------------------------------------------------------------------