TSTP Solution File: GRP014-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP014-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n007.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 12:24:10 EDT 2022
% Result : Unsatisfiable 0.57s 0.99s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP014-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n007.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 : Mon Jun 13 23:30:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.57/0.96 ********************************************************************************
% 0.57/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.96 * |/ | \/ | *
% 0.57/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.96 * A. Jaeger and B. Loechner | | *
% 0.57/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.96 ********************************************************************************
% 0.57/0.96
% 0.57/0.96
% 0.57/0.96 Goals:
% 0.57/0.96 ------
% 0.57/0.96
% 0.57/0.96 ( 1) multiply(multiply(a,b),c) ?=? multiply(a,multiply(b,c))
% 0.57/0.96
% 0.57/0.96 Detected structure: Orkus
% 0.57/0.96 ********************************************************************************
% 0.57/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.96 ********************************************************************************
% 0.57/0.96
% 0.57/0.99 joined goal: 1 multiply(multiply(a,b),c) ?= multiply(a,multiply(b,c)) to multiply(a,multiply(b,c))
% 0.57/0.99 goal joined
% 0.57/0.99 % SZS status Unsatisfiable
% 0.57/0.99 #START OF PROOF
% 0.57/0.99 % SZS output start CNFRefutation
% 0.57/0.99 cnf('0.1.0.0',axiom,
% 0.57/0.99 ( X1 = multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(inverse(X2),X1))),X4),inverse(multiply(X3,X4))))) ),
% 0.57/0.99 file('/tmp/WALDMEISTER_10791_n007')).
% 0.57/0.99 cnf('0.1.1.0',plain,
% 0.57/0.99 ( X1 = multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(inverse(X2),X1))),X4),inverse(multiply(X3,X4))))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.57/0.99 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.57/0.99 cnf('0.1.2.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),X3))),X4),inverse(multiply(X2,X4))))) = X3 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_1]).
% 0.57/0.99 cnf('0.4.0.0',plain,
% 0.57/0.99 ( inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(X2)),X3))),X4),inverse(multiply(X1,X4)))) = multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X5),X3)),X6),inverse(multiply(X5,X6))))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2.1.1.1.1.2','L')]).
% 0.57/0.99 cnf('0.4.1.0',plain,
% 0.57/0.99 ( inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(X2)),X3))),X4),inverse(multiply(X1,X4)))) = multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X5),X3)),X6),inverse(multiply(X5,X6))))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.57/0.99 [weight('<1088,1,1,[0,0,0,9]>')]).
% 0.57/0.99 cnf('0.4.2.0',plain,
% 0.57/0.99 ( inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(X2)),X3))),X4),inverse(multiply(X1,X4)))) = multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X5),X3)),X6),inverse(multiply(X5,X6))))) ),
% 0.57/0.99 inference(activate,[status(thm)],['0.4.1.0']),
% 0.57/0.99 [equation_1]).
% 0.57/0.99 cnf('0.4.2.1',plain,
% 0.57/0.99 ( inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(X2)),X3))),X4),inverse(multiply(X1,X4)))) = multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(c),X3)),c),inverse(multiply(c,c))))) ),
% 0.57/0.99 inference(instr,[status(thm)],['0.4.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.4.2.2',plain,
% 0.57/0.99 ( inverse(multiply(multiply(inverse(multiply(inverse(c),multiply(inverse(inverse(X1)),X3))),c),inverse(multiply(c,c)))) = multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),X3)),X4),inverse(multiply(X2,X4))))) ),
% 0.57/0.99 inference(instl,[status(thm)],['0.4.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.5.0.0',plain,
% 0.57/0.99 ( X1 = multiply(inverse(X2),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X3),X1)),X4),inverse(multiply(X3,X4)))))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.1.2.0','0.4.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.5.1.0',plain,
% 0.57/0.99 ( X1 = multiply(inverse(X2),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X3),X1)),X4),inverse(multiply(X3,X4)))))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.57/0.99 [weight('<379,4,1,[0,0,0,2]>')]).
% 0.57/0.99 cnf('0.5.2.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),X3)),X4),inverse(multiply(X2,X4)))))) = X3 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_4]).
% 0.57/0.99 cnf('0.6.0.0',plain,
% 0.57/0.99 ( multiply(inverse(inverse(X1)),X2) = multiply(inverse(X3),multiply(X3,multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5))))))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.5.2.0','0.4.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2.2','L')]).
% 0.57/0.99 cnf('0.6.1.0',plain,
% 0.57/0.99 ( multiply(inverse(inverse(X1)),X2) = multiply(inverse(X3),multiply(X3,multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5))))))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.57/0.99 [weight('<545,5,4,[1,0,0,5]>')]).
% 0.57/0.99 cnf('0.6.2.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),multiply(X1,multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X3),X4)),X5),inverse(multiply(X3,X5))))))) = multiply(inverse(inverse(X2)),X4) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_5]).
% 0.57/0.99 cnf('0.7.0.0',plain,
% 0.57/0.99 ( multiply(inverse(inverse(X1)),multiply(inverse(X1),X2)) = multiply(inverse(X3),multiply(X3,X2)) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2.2','L')]).
% 0.57/0.99 cnf('0.7.1.0',plain,
% 0.57/0.99 ( multiply(inverse(inverse(X1)),multiply(inverse(X1),X2)) = multiply(inverse(X3),multiply(X3,X2)) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.57/0.99 [weight('<224,6,1,[1,0,0,5]>')]).
% 0.57/0.99 cnf('0.7.2.0',plain,
% 0.57/0.99 ( multiply(inverse(inverse(X1)),multiply(inverse(X1),X2)) = multiply(inverse(X3),multiply(X3,X2)) ),
% 0.57/0.99 inference(activate,[status(thm)],['0.7.1.0']),
% 0.57/0.99 [equation_2]).
% 0.57/0.99 cnf('0.7.2.1',plain,
% 0.57/0.99 ( multiply(inverse(inverse(X1)),multiply(inverse(X1),X2)) = multiply(inverse(c),multiply(c,X2)) ),
% 0.57/0.99 inference(instr,[status(thm)],['0.7.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.7.2.2',plain,
% 0.57/0.99 ( multiply(inverse(inverse(c)),multiply(inverse(c),X2)) = multiply(inverse(X1),multiply(X1,X2)) ),
% 0.57/0.99 inference(instl,[status(thm)],['0.7.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.8.0.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),multiply(X1,X2)) = multiply(inverse(X3),multiply(X3,X2)) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.7.2.0','0.7.2.0',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('0.8.1.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),multiply(X1,X2)) = multiply(inverse(X3),multiply(X3,X2)) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.57/0.99 [weight('<168,7,7,[1,0,0,0]>')]).
% 0.57/0.99 cnf('0.8.2.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),multiply(X1,X2)) = multiply(inverse(X3),multiply(X3,X2)) ),
% 0.57/0.99 inference(activate,[status(thm)],['0.8.1.0']),
% 0.57/0.99 [equation_3]).
% 0.57/0.99 cnf('0.8.2.1',plain,
% 0.57/0.99 ( multiply(inverse(X1),multiply(X1,X2)) = multiply(inverse(c),multiply(c,X2)) ),
% 0.57/0.99 inference(instr,[status(thm)],['0.8.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.8.2.2',plain,
% 0.57/0.99 ( multiply(inverse(c),multiply(c,X2)) = multiply(inverse(X1),multiply(X1,X2)) ),
% 0.57/0.99 inference(instl,[status(thm)],['0.8.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.9.0.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),multiply(X1,multiply(X2,X3))) = multiply(inverse(inverse(X2)),multiply(inverse(X4),multiply(X4,X3))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.8.2.0','0.8.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.9.1.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),multiply(X1,multiply(X2,X3))) = multiply(inverse(inverse(X2)),multiply(inverse(X4),multiply(X4,X3))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.57/0.99 [weight('<360,8,8,[0,0,0,3]>')]).
% 0.57/0.99 cnf('0.9.2.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),multiply(X1,multiply(X2,X3))) = multiply(inverse(inverse(X2)),multiply(inverse(X4),multiply(X4,X3))) ),
% 0.57/0.99 inference(activate,[status(thm)],['0.9.1.0']),
% 0.57/0.99 [equation_4]).
% 0.57/0.99 cnf('0.9.2.1',plain,
% 0.57/0.99 ( multiply(inverse(X1),multiply(X1,multiply(X2,X3))) = multiply(inverse(inverse(X2)),multiply(inverse(c),multiply(c,X3))) ),
% 0.57/0.99 inference(instr,[status(thm)],['0.9.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.9.2.2',plain,
% 0.57/0.99 ( multiply(inverse(c),multiply(c,multiply(X1,X3))) = multiply(inverse(inverse(X1)),multiply(inverse(X2),multiply(X2,X3))) ),
% 0.57/0.99 inference(instl,[status(thm)],['0.9.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.10.0.0',plain,
% 0.57/0.99 ( X1 = multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(X3,X1))),X4),inverse(multiply(inverse(X2),X4))))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.1.2.0','0.8.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2.1.1.1.1','L')]).
% 0.57/0.99 cnf('0.10.1.0',plain,
% 0.57/0.99 ( X1 = multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(X3,X1))),X4),inverse(multiply(inverse(X2),X4))))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.57/0.99 [weight('<379,8,1,[0,0,0,6]>')]).
% 0.57/0.99 cnf('0.10.2.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X4),inverse(multiply(inverse(X1),X4))))) = X3 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_6]).
% 0.57/0.99 cnf('0.11.0.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),X3))),X4),inverse(multiply(X2,X4))))) = inverse(multiply(multiply(inverse(multiply(inverse(X5),multiply(inverse(X6),multiply(X6,X3)))),X7),inverse(multiply(X5,X7)))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.4.2.0','0.8.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1.1.1.1.2','L')]).
% 0.57/0.99 cnf('0.11.0.1',plain,
% 0.57/0.99 ( X3 = inverse(multiply(multiply(inverse(multiply(inverse(X5),multiply(inverse(X6),multiply(X6,X3)))),X7),inverse(multiply(X5,X7)))) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.11.0.0','0.1.2.0',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('0.11.1.0',plain,
% 0.57/0.99 ( X3 = inverse(multiply(multiply(inverse(multiply(inverse(X5),multiply(inverse(X6),multiply(X6,X3)))),X7),inverse(multiply(X5,X7)))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.11.0.1']),
% 0.57/0.99 [weight('<379,8,4,[0,0,0,7]>')]).
% 0.57/0.99 cnf('0.11.2.0',plain,
% 0.57/0.99 ( inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(X2,X3)))),X4),inverse(multiply(X1,X4)))) = X3 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_7]).
% 0.57/0.99 cnf('0.13.0.0',plain,
% 0.57/0.99 ( multiply(X1,X2) = multiply(inverse(X3),multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(X4),multiply(X4,X2))),X5),inverse(multiply(X1,X5)))))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.5.2.0','0.8.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2.2.1.1.1.1','L')]).
% 0.57/0.99 cnf('0.13.1.0',plain,
% 0.57/0.99 ( multiply(X1,X2) = multiply(inverse(X3),multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(X4),multiply(X4,X2))),X5),inverse(multiply(X1,X5)))))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.57/0.99 [weight('<503,8,5,[0,0,0,9]>')]).
% 0.57/0.99 cnf('0.13.2.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X4),inverse(multiply(X5,X4)))))) = multiply(X5,X3) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_9]).
% 0.57/0.99 cnf('0.16.0.0',plain,
% 0.57/0.99 ( X1 = multiply(X2,inverse(multiply(multiply(inverse(X3),multiply(X3,X4)),inverse(multiply(inverse(X2),multiply(multiply(inverse(X5),multiply(X5,X1)),X4)))))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.10.2.0','0.8.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2.1.1','L')]).
% 0.57/0.99 cnf('0.16.1.0',plain,
% 0.57/0.99 ( X1 = multiply(X2,inverse(multiply(multiply(inverse(X3),multiply(X3,X4)),inverse(multiply(inverse(X2),multiply(multiply(inverse(X5),multiply(X5,X1)),X4)))))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.57/0.99 [weight('<551,10,8,[1,0,0,4]>')]).
% 0.57/0.99 cnf('0.16.2.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(multiply(multiply(inverse(X2),multiply(X2,X3)),inverse(multiply(inverse(X1),multiply(multiply(inverse(X4),multiply(X4,X5)),X3)))))) = X5 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_12]).
% 0.57/0.99 cnf('0.17.0.0',plain,
% 0.57/0.99 ( X1 = multiply(multiply(inverse(X2),multiply(X2,X1)),inverse(multiply(multiply(inverse(X3),multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(X4),X5)),X6),inverse(multiply(X4,X6)))))),inverse(X5)))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.16.2.0','0.5.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2.1.2.1','L')]).
% 0.57/0.99 cnf('0.17.0.1',plain,
% 0.57/0.99 ( X1 = multiply(multiply(inverse(X2),multiply(X2,X1)),inverse(multiply(X5,inverse(X5)))) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.17.0.0','0.5.2.0',theory(equality)]),
% 0.57/0.99 [pos('R.2.1.1','L')]).
% 0.57/0.99 cnf('0.17.1.0',plain,
% 0.57/0.99 ( X1 = multiply(multiply(inverse(X2),multiply(X2,X1)),inverse(multiply(X5,inverse(X5)))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.17.0.1']),
% 0.57/0.99 [weight('<181,16,5,[1,0,0,11]>')]).
% 0.57/0.99 cnf('0.17.2.0',plain,
% 0.57/0.99 ( multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(X3,inverse(X3)))) = X2 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_13]).
% 0.57/0.99 cnf('0.18.0.0',plain,
% 0.57/0.99 ( multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2) = multiply(inverse(multiply(inverse(X3),multiply(X3,X4))),X4) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.13.2.0','0.17.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.18.1.0',plain,
% 0.57/0.99 ( multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2) = multiply(inverse(multiply(inverse(X3),multiply(X3,X4))),X4) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.57/0.99 [weight('<360,17,13,[0,0,0,3]>')]).
% 0.57/0.99 cnf('0.18.2.0',plain,
% 0.57/0.99 ( multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2) = multiply(inverse(multiply(inverse(X3),multiply(X3,X4))),X4) ),
% 0.57/0.99 inference(activate,[status(thm)],['0.18.1.0']),
% 0.57/0.99 [equation_5]).
% 0.57/0.99 cnf('0.18.2.1',plain,
% 0.57/0.99 ( multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2) = multiply(inverse(multiply(inverse(c),multiply(c,c))),c) ),
% 0.57/0.99 inference(instr,[status(thm)],['0.18.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.18.2.2',plain,
% 0.57/0.99 ( multiply(inverse(multiply(inverse(c),multiply(c,c))),c) = multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2) ),
% 0.57/0.99 inference(instl,[status(thm)],['0.18.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.19.0.0',plain,
% 0.57/0.99 ( X1 = multiply(inverse(inverse(multiply(inverse(X2),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X3),X1)),X4),inverse(multiply(X3,X4)))))))),multiply(inverse(multiply(inverse(X5),multiply(X5,X6))),X6)) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.5.2.0','0.18.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.19.0.1',plain,
% 0.57/0.99 ( X1 = multiply(inverse(inverse(X1)),multiply(inverse(multiply(inverse(X5),multiply(X5,X6))),X6)) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.19.0.0','0.5.2.0',theory(equality)]),
% 0.57/0.99 [pos('R.1.1.1','L')]).
% 0.57/0.99 cnf('0.19.1.0',plain,
% 0.57/0.99 ( X1 = multiply(inverse(inverse(X1)),multiply(inverse(multiply(inverse(X5),multiply(X5,X6))),X6)) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.19.0.1']),
% 0.57/0.99 [weight('<209,18,5,[0,0,0,3]>')]).
% 0.57/0.99 cnf('0.19.2.0',plain,
% 0.57/0.99 ( multiply(inverse(inverse(X1)),multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3)) = X1 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_14]).
% 0.57/0.99 cnf('0.20.0.0',plain,
% 0.57/0.99 ( multiply(inverse(inverse(inverse(multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),X3)),X4),inverse(multiply(X2,X4))))))))),X3) = multiply(inverse(inverse(inverse(X5))),X5) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.6.2.0','0.19.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.20.0.1',plain,
% 0.57/0.99 ( multiply(inverse(inverse(inverse(X3))),X3) = multiply(inverse(inverse(inverse(X5))),X5) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.20.0.0','0.5.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1.1.1.1','L')]).
% 0.57/0.99 cnf('0.20.1.0',plain,
% 0.57/0.99 ( multiply(inverse(inverse(inverse(X3))),X3) = multiply(inverse(inverse(inverse(X5))),X5) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.57/0.99 [weight('<168,19,6,[0,0,0,3]>')]).
% 0.57/0.99 cnf('0.20.2.0',plain,
% 0.57/0.99 ( multiply(inverse(inverse(inverse(X1))),X1) = multiply(inverse(inverse(inverse(X2))),X2) ),
% 0.57/0.99 inference(activate,[status(thm)],['0.20.1.0']),
% 0.57/0.99 [equation_6]).
% 0.57/0.99 cnf('0.20.2.1',plain,
% 0.57/0.99 ( multiply(inverse(inverse(inverse(X1))),X1) = multiply(inverse(inverse(inverse(c))),c) ),
% 0.57/0.99 inference(instr,[status(thm)],['0.20.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.20.2.2',plain,
% 0.57/0.99 ( multiply(inverse(inverse(inverse(c))),c) = multiply(inverse(inverse(inverse(X1))),X1) ),
% 0.57/0.99 inference(instl,[status(thm)],['0.20.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.24.0.0',plain,
% 0.57/0.99 ( X1 = inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3),inverse(multiply(inverse(X4),multiply(X4,X1))))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.11.2.0','0.18.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1.1','L')]).
% 0.57/0.99 cnf('0.24.1.0',plain,
% 0.57/0.99 ( X1 = inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3),inverse(multiply(inverse(X4),multiply(X4,X1))))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.57/0.99 [weight('<379,18,11,[0,0,0,2]>')]).
% 0.57/0.99 cnf('0.24.2.0',plain,
% 0.57/0.99 ( inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2),inverse(multiply(inverse(X3),multiply(X3,X4))))) = X4 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_16]).
% 0.57/0.99 cnf('0.25.0.0',plain,
% 0.57/0.99 ( multiply(inverse(inverse(X1)),multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3)) = multiply(inverse(X4),multiply(X4,multiply(X1,inverse(multiply(multiply(inverse(X5),X6),inverse(multiply(inverse(X5),X6))))))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.6.2.0','0.19.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2.2.2.1.1.1.1','L')]).
% 0.57/0.99 cnf('0.25.0.1',plain,
% 0.57/0.99 ( X1 = multiply(inverse(X4),multiply(X4,multiply(X1,inverse(multiply(multiply(inverse(X5),X6),inverse(multiply(inverse(X5),X6))))))) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.25.0.0','0.19.2.0',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('0.25.1.0',plain,
% 0.57/0.99 ( X1 = multiply(inverse(X4),multiply(X4,multiply(X1,inverse(multiply(multiply(inverse(X5),X6),inverse(multiply(inverse(X5),X6))))))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.25.0.1']),
% 0.57/0.99 [weight('<379,19,6,[0,0,0,11]>')]).
% 0.57/0.99 cnf('0.25.2.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),multiply(X1,multiply(X2,inverse(multiply(multiply(inverse(X3),X4),inverse(multiply(inverse(X3),X4))))))) = X2 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_17]).
% 0.57/0.99 cnf('0.26.0.0',plain,
% 0.57/0.99 ( X1 = multiply(inverse(X2),multiply(X2,multiply(X1,inverse(multiply(X3,inverse(multiply(inverse(X4),inverse(multiply(multiply(inverse(multiply(inverse(X5),multiply(inverse(inverse(X4)),X3))),X6),inverse(multiply(X5,X6))))))))))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.25.2.0','0.1.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2.2.2.1.1','L')]).
% 0.57/0.99 cnf('0.26.0.1',plain,
% 0.57/0.99 ( X1 = multiply(inverse(X2),multiply(X2,multiply(X1,inverse(multiply(X3,inverse(X3)))))) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.26.0.0','0.1.2.0',theory(equality)]),
% 0.57/0.99 [pos('R.2.2.2.1.2.1','L')]).
% 0.57/0.99 cnf('0.26.1.0',plain,
% 0.57/0.99 ( X1 = multiply(inverse(X2),multiply(X2,multiply(X1,inverse(multiply(X3,inverse(X3)))))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.26.0.1']),
% 0.57/0.99 [weight('<181,25,1,[1,0,0,9]>')]).
% 0.57/0.99 cnf('0.26.2.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),multiply(X1,multiply(X2,inverse(multiply(X3,inverse(X3)))))) = X2 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_18]).
% 0.57/0.99 cnf('0.27.0.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(multiply(X2,inverse(X2)))) = multiply(X1,inverse(multiply(X3,inverse(X3)))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.17.2.0','0.26.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1','L')]).
% 0.57/0.99 cnf('0.27.1.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(multiply(X2,inverse(X2)))) = multiply(X1,inverse(multiply(X3,inverse(X3)))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.57/0.99 [weight('<224,26,17,[0,0,0,1]>')]).
% 0.57/0.99 cnf('0.27.2.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(multiply(X2,inverse(X2)))) = multiply(X1,inverse(multiply(X3,inverse(X3)))) ),
% 0.57/0.99 inference(activate,[status(thm)],['0.27.1.0']),
% 0.57/0.99 [equation_9]).
% 0.57/0.99 cnf('0.27.2.1',plain,
% 0.57/0.99 ( multiply(X1,inverse(multiply(X2,inverse(X2)))) = multiply(X1,inverse(multiply(c,inverse(c)))) ),
% 0.57/0.99 inference(instr,[status(thm)],['0.27.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.27.2.2',plain,
% 0.57/0.99 ( multiply(X1,inverse(multiply(c,inverse(c)))) = multiply(X1,inverse(multiply(X2,inverse(X2)))) ),
% 0.57/0.99 inference(instl,[status(thm)],['0.27.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.28.0.0',plain,
% 0.57/0.99 ( inverse(multiply(X1,inverse(X1))) = multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(inverse(X2),inverse(multiply(X4,inverse(X4)))))),X5),inverse(multiply(X3,X5))))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.1.2.0','0.27.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2.1.1.1.1.2','L')]).
% 0.57/0.99 cnf('0.28.0.1',plain,
% 0.57/0.99 ( inverse(multiply(X1,inverse(X1))) = inverse(multiply(X4,inverse(X4))) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.28.0.0','0.1.2.0',theory(equality)]),
% 0.57/0.99 [pos('R','L')]).
% 0.57/0.99 cnf('0.28.1.0',plain,
% 0.57/0.99 ( inverse(multiply(X1,inverse(X1))) = inverse(multiply(X4,inverse(X4))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.28.0.1']),
% 0.57/0.99 [weight('<120,27,1,[0,0,0,9]>')]).
% 0.57/0.99 cnf('0.28.2.0',plain,
% 0.57/0.99 ( inverse(multiply(X1,inverse(X1))) = inverse(multiply(X2,inverse(X2))) ),
% 0.57/0.99 inference(activate,[status(thm)],['0.28.1.0']),
% 0.57/0.99 [equation_10]).
% 0.57/0.99 cnf('0.28.2.1',plain,
% 0.57/0.99 ( inverse(multiply(X1,inverse(X1))) = inverse(multiply(c,inverse(c))) ),
% 0.57/0.99 inference(instr,[status(thm)],['0.28.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.28.2.2',plain,
% 0.57/0.99 ( inverse(multiply(c,inverse(c))) = inverse(multiply(X1,inverse(X1))) ),
% 0.57/0.99 inference(instl,[status(thm)],['0.28.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.29.0.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(X1)) = multiply(inverse(inverse(multiply(X2,inverse(X2)))),multiply(inverse(multiply(inverse(X3),multiply(X3,X4))),X4)) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.19.2.0','0.28.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1.1','L')]).
% 0.57/0.99 cnf('0.29.0.1',plain,
% 0.57/0.99 ( multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.29.0.0','0.19.2.0',theory(equality)]),
% 0.57/0.99 [pos('R','L')]).
% 0.57/0.99 cnf('0.29.1.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.29.0.1']),
% 0.57/0.99 [weight('<80,28,19,[0,0,0,2]>')]).
% 0.57/0.99 cnf('0.29.2.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)) ),
% 0.57/0.99 inference(activate,[status(thm)],['0.29.1.0']),
% 0.57/0.99 [equation_11]).
% 0.57/0.99 cnf('0.29.2.1',plain,
% 0.57/0.99 ( multiply(X1,inverse(X1)) = multiply(c,inverse(c)) ),
% 0.57/0.99 inference(instr,[status(thm)],['0.29.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.29.2.2',plain,
% 0.57/0.99 ( multiply(c,inverse(c)) = multiply(X1,inverse(X1)) ),
% 0.57/0.99 inference(instl,[status(thm)],['0.29.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.30.0.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(X1)) = multiply(inverse(X2),multiply(X2,multiply(X3,inverse(X3)))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.26.2.0','0.29.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2.2','L')]).
% 0.57/0.99 cnf('0.30.1.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(X1)) = multiply(inverse(X2),multiply(X2,multiply(X3,inverse(X3)))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.57/0.99 [weight('<195,29,26,[0,0,0,5]>')]).
% 0.57/0.99 cnf('0.30.2.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(X1)) = multiply(inverse(X2),multiply(X2,multiply(X3,inverse(X3)))) ),
% 0.57/0.99 inference(activate,[status(thm)],['0.30.1.0']),
% 0.57/0.99 [equation_12]).
% 0.57/0.99 cnf('0.30.2.1',plain,
% 0.57/0.99 ( multiply(X1,inverse(X1)) = multiply(inverse(c),multiply(c,multiply(c,inverse(c)))) ),
% 0.57/0.99 inference(instr,[status(thm)],['0.30.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.30.2.2',plain,
% 0.57/0.99 ( multiply(c,inverse(c)) = multiply(inverse(X1),multiply(X1,multiply(X2,inverse(X2)))) ),
% 0.57/0.99 inference(instl,[status(thm)],['0.30.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.31.0.0',plain,
% 0.57/0.99 ( inverse(inverse(X1)) = multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(inverse(X3),multiply(X3,multiply(X4,inverse(X4)))))),X5),inverse(multiply(X2,X5))))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.1.2.0','0.30.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2.1.1.1.1.2','L')]).
% 0.57/0.99 cnf('0.31.0.1',plain,
% 0.57/0.99 ( inverse(inverse(X1)) = multiply(X1,multiply(X4,inverse(X4))) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.31.0.0','0.11.2.0',theory(equality)]),
% 0.57/0.99 [pos('R.2','L')]).
% 0.57/0.99 cnf('0.31.1.0',plain,
% 0.57/0.99 ( inverse(inverse(X1)) = multiply(X1,multiply(X4,inverse(X4))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.31.0.1']),
% 0.57/0.99 [weight('<69,30,1,[0,0,0,9]>')]).
% 0.57/0.99 cnf('0.31.2.0',plain,
% 0.57/0.99 ( multiply(X1,multiply(X2,inverse(X2))) = inverse(inverse(X1)) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_19]).
% 0.57/0.99 cnf('0.32.0.0',plain,
% 0.57/0.99 ( inverse(inverse(inverse(X1))) = multiply(inverse(X2),multiply(X2,inverse(X1))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.31.2.0','0.8.2.0',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('0.32.1.0',plain,
% 0.57/0.99 ( inverse(inverse(inverse(X1))) = multiply(inverse(X2),multiply(X2,inverse(X1))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.32.0.0']),
% 0.57/0.99 [weight('<95,31,8,[1,0,0,0]>')]).
% 0.57/0.99 cnf('0.32.2.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),multiply(X1,inverse(X2))) = inverse(inverse(inverse(X2))) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_20]).
% 0.57/0.99 cnf('0.33.0.0',plain,
% 0.57/0.99 ( inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(X2,X3)))),X4),inverse(multiply(X1,X4)))))) = multiply(inverse(X5),multiply(X5,X3)) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.32.2.0','0.11.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2.2','L')]).
% 0.57/0.99 cnf('0.33.0.1',plain,
% 0.57/0.99 ( inverse(inverse(X3)) = multiply(inverse(X5),multiply(X5,X3)) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.33.0.0','0.11.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1.1','L')]).
% 0.57/0.99 cnf('0.33.1.0',plain,
% 0.57/0.99 ( inverse(inverse(X3)) = multiply(inverse(X5),multiply(X5,X3)) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.33.0.1']),
% 0.57/0.99 [weight('<69,32,11,[1,0,0,5]>')]).
% 0.57/0.99 cnf('0.33.2.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),multiply(X1,X2)) = inverse(inverse(X2)) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_21]).
% 0.57/0.99 cnf('0.34.0.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),multiply(X1,multiply(X2,X3))) = multiply(inverse(inverse(X2)),multiply(inverse(X4),multiply(X4,X3))) ),
% 0.57/0.99 inference(interreduction_right,[status(thm)],['0.9.2.0'])).
% 0.57/0.99 cnf('0.34.0.1',plain,
% 0.57/0.99 ( inverse(inverse(multiply(X2,X3))) = multiply(inverse(inverse(X2)),multiply(inverse(X4),multiply(X4,X3))) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.34.0.0','0.33.2.0',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('0.34.0.2',plain,
% 0.57/0.99 ( inverse(inverse(multiply(X2,X3))) = multiply(inverse(inverse(X2)),inverse(inverse(X3))) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.34.0.1','0.33.2.0',theory(equality)]),
% 0.57/0.99 [pos('R.2','L')]).
% 0.57/0.99 cnf('0.34.1.0',plain,
% 0.57/0.99 ( inverse(inverse(multiply(X2,X3))) = multiply(inverse(inverse(X2)),inverse(inverse(X3))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.34.0.2']),
% 0.57/0.99 [weight('<103,9,33,[0,0,0,0]>')]).
% 0.57/0.99 cnf('0.34.2.0',plain,
% 0.57/0.99 ( multiply(inverse(inverse(X1)),inverse(inverse(X2))) = inverse(inverse(multiply(X1,X2))) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_22]).
% 0.57/0.99 cnf('0.35.0.0',plain,
% 0.57/0.99 ( inverse(inverse(X1)) = multiply(X1,inverse(inverse(multiply(X2,inverse(X2))))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.31.2.0','0.34.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.35.1.0',plain,
% 0.57/0.99 ( inverse(inverse(X1)) = multiply(X1,inverse(inverse(multiply(X2,inverse(X2))))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.35.0.0']),
% 0.57/0.99 [weight('<107,34,31,[0,0,0,2]>')]).
% 0.57/0.99 cnf('0.35.2.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(inverse(multiply(X2,inverse(X2))))) = inverse(inverse(X1)) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_23]).
% 0.57/0.99 cnf('0.36.0.0',plain,
% 0.57/0.99 ( multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(X3,inverse(X3)))) = X2 ),
% 0.57/0.99 inference(interreduction_right,[status(thm)],['0.17.2.0'])).
% 0.57/0.99 cnf('0.36.0.1',plain,
% 0.57/0.99 ( multiply(inverse(inverse(X2)),inverse(multiply(X3,inverse(X3)))) = X2 ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.36.0.0','0.33.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1','L')]).
% 0.57/0.99 cnf('0.36.1.0',plain,
% 0.57/0.99 ( multiply(inverse(inverse(X2)),inverse(multiply(X3,inverse(X3)))) = X2 ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.36.0.1']),
% 0.57/0.99 [weight('<109,17,33,[0,0,0,0]>')]).
% 0.57/0.99 cnf('0.36.2.0',plain,
% 0.57/0.99 ( multiply(inverse(inverse(X1)),inverse(multiply(X2,inverse(X2)))) = X1 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_24]).
% 0.57/0.99 cnf('0.37.0.0',plain,
% 0.57/0.99 ( X1 = multiply(inverse(inverse(X1)),inverse(inverse(inverse(inverse(multiply(X2,inverse(X2))))))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.36.2.0','0.35.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2.1','L')]).
% 0.57/0.99 cnf('0.37.0.1',plain,
% 0.57/0.99 ( X1 = inverse(inverse(multiply(X1,inverse(inverse(multiply(X2,inverse(X2))))))) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.37.0.0','0.34.2.0',theory(equality)]),
% 0.57/0.99 [pos('R','L')]).
% 0.57/0.99 cnf('0.37.0.2',plain,
% 0.57/0.99 ( X1 = inverse(inverse(inverse(inverse(X1)))) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.37.0.1','0.35.2.0',theory(equality)]),
% 0.57/0.99 [pos('R.1.1','L')]).
% 0.57/0.99 cnf('0.37.1.0',plain,
% 0.57/0.99 ( X1 = inverse(inverse(inverse(inverse(X1)))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.37.0.2']),
% 0.57/0.99 [weight('<41,36,35,[1,0,0,5]>')]).
% 0.57/0.99 cnf('0.37.2.0',plain,
% 0.57/0.99 ( inverse(inverse(inverse(inverse(X1)))) = X1 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_25]).
% 0.57/0.99 cnf('0.38.0.0',plain,
% 0.57/0.99 ( inverse(inverse(X1)) = multiply(X1,inverse(multiply(X2,inverse(X2)))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.36.2.0','0.37.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1','L')]).
% 0.57/0.99 cnf('0.38.1.0',plain,
% 0.57/0.99 ( inverse(inverse(X1)) = multiply(X1,inverse(multiply(X2,inverse(X2)))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.38.0.0']),
% 0.57/0.99 [weight('<87,37,36,[0,0,0,1]>')]).
% 0.57/0.99 cnf('0.38.2.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(multiply(X2,inverse(X2)))) = inverse(inverse(X1)) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_26]).
% 0.57/0.99 cnf('0.39.0.0',plain,
% 0.57/0.99 ( inverse(inverse(multiply(inverse(inverse(X1)),X2))) = multiply(X1,inverse(inverse(X2))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.34.2.0','0.37.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1','L')]).
% 0.57/0.99 cnf('0.39.1.0',plain,
% 0.57/0.99 ( inverse(inverse(multiply(inverse(inverse(X1)),X2))) = multiply(X1,inverse(inverse(X2))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.39.0.0']),
% 0.57/0.99 [weight('<103,37,34,[0,0,0,1]>')]).
% 0.57/0.99 cnf('0.39.2.0',plain,
% 0.57/0.99 ( inverse(inverse(multiply(inverse(inverse(X1)),X2))) = multiply(X1,inverse(inverse(X2))) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_27]).
% 0.57/0.99 cnf('0.40.0.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(inverse(multiply(inverse(X1),X2)))) = inverse(inverse(inverse(inverse(X2)))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.39.2.0','0.33.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1.1','L')]).
% 0.57/0.99 cnf('0.40.0.1',plain,
% 0.57/0.99 ( multiply(X1,inverse(inverse(multiply(inverse(X1),X2)))) = X2 ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.40.0.0','0.37.2.0',theory(equality)]),
% 0.57/0.99 [pos('R','L')]).
% 0.57/0.99 cnf('0.40.1.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(inverse(multiply(inverse(X1),X2)))) = X2 ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.40.0.1']),
% 0.57/0.99 [weight('<89,39,33,[1,0,0,2]>')]).
% 0.57/0.99 cnf('0.40.2.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(inverse(multiply(inverse(X1),X2)))) = X2 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_28]).
% 0.57/0.99 cnf('0.41.0.0',plain,
% 0.57/0.99 ( inverse(multiply(X1,inverse(X1))) = multiply(X2,inverse(inverse(inverse(inverse(inverse(X2)))))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.40.2.0','0.38.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2.1.1','L')]).
% 0.57/0.99 cnf('0.41.0.1',plain,
% 0.57/0.99 ( inverse(multiply(X1,inverse(X1))) = multiply(X2,inverse(X2)) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.41.0.0','0.37.2.0',theory(equality)]),
% 0.57/0.99 [pos('R.2','L')]).
% 0.57/0.99 cnf('0.41.1.0',plain,
% 0.57/0.99 ( inverse(multiply(X1,inverse(X1))) = multiply(X2,inverse(X2)) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.41.0.1']),
% 0.57/0.99 [weight('<99,40,38,[1,0,0,4]>')]).
% 0.57/0.99 cnf('0.41.2.0',plain,
% 0.57/0.99 ( inverse(multiply(X1,inverse(X1))) = multiply(X2,inverse(X2)) ),
% 0.57/0.99 inference(activate,[status(thm)],['0.41.1.0']),
% 0.57/0.99 [equation_13]).
% 0.57/0.99 cnf('0.41.2.1',plain,
% 0.57/0.99 ( inverse(multiply(X1,inverse(X1))) = multiply(c,inverse(c)) ),
% 0.57/0.99 inference(instr,[status(thm)],['0.41.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.41.2.2',plain,
% 0.57/0.99 ( inverse(multiply(c,inverse(c))) = multiply(X1,inverse(X1)) ),
% 0.57/0.99 inference(instl,[status(thm)],['0.41.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.45.0.0',plain,
% 0.57/0.99 ( multiply(inverse(inverse(inverse(X1))),X1) = multiply(X2,inverse(X2)) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.20.2.0','0.37.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1','L')]).
% 0.57/0.99 cnf('0.45.1.0',plain,
% 0.57/0.99 ( multiply(inverse(inverse(inverse(X1))),X1) = multiply(X2,inverse(X2)) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.45.0.0']),
% 0.57/0.99 [weight('<120,37,20,[0,0,0,1]>')]).
% 0.57/0.99 cnf('0.45.2.0',plain,
% 0.57/0.99 ( multiply(inverse(inverse(inverse(X1))),X1) = multiply(X2,inverse(X2)) ),
% 0.57/0.99 inference(activate,[status(thm)],['0.45.1.0']),
% 0.57/0.99 [equation_14]).
% 0.57/0.99 cnf('0.45.2.1',plain,
% 0.57/0.99 ( multiply(inverse(inverse(inverse(X1))),X1) = multiply(c,inverse(c)) ),
% 0.57/0.99 inference(instr,[status(thm)],['0.45.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.45.2.2',plain,
% 0.57/0.99 ( multiply(inverse(inverse(inverse(c))),c) = multiply(X1,inverse(X1)) ),
% 0.57/0.99 inference(instl,[status(thm)],['0.45.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.46.0.0',plain,
% 0.57/0.99 ( inverse(inverse(X1)) = multiply(multiply(X2,inverse(X2)),multiply(multiply(X3,inverse(X3)),X1)) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.33.2.0','0.41.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1','L')]).
% 0.57/0.99 cnf('0.46.1.0',plain,
% 0.57/0.99 ( inverse(inverse(X1)) = multiply(multiply(X2,inverse(X2)),multiply(multiply(X3,inverse(X3)),X1)) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.46.0.0']),
% 0.57/0.99 [weight('<179,41,33,[0,0,0,1]>')]).
% 0.57/0.99 cnf('0.46.2.0',plain,
% 0.57/0.99 ( multiply(multiply(X1,inverse(X1)),multiply(multiply(X2,inverse(X2)),X3)) = inverse(inverse(X3)) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_32]).
% 0.57/0.99 cnf('0.47.0.0',plain,
% 0.57/0.99 ( inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2),inverse(multiply(inverse(X3),multiply(X3,X4))))) = X4 ),
% 0.57/0.99 inference(interreduction_right,[status(thm)],['0.24.2.0'])).
% 0.57/0.99 cnf('0.47.0.1',plain,
% 0.57/0.99 ( inverse(multiply(multiply(inverse(inverse(inverse(X2))),X2),inverse(multiply(inverse(X3),multiply(X3,X4))))) = X4 ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.47.0.0','0.33.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1.1.1.1','L')]).
% 0.57/0.99 cnf('0.47.0.2',plain,
% 0.57/0.99 ( inverse(multiply(multiply(inverse(inverse(inverse(X2))),X2),inverse(inverse(inverse(X4))))) = X4 ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.47.0.1','0.33.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1.2.1','L')]).
% 0.57/0.99 cnf('0.47.1.0',plain,
% 0.57/0.99 ( inverse(multiply(multiply(inverse(inverse(inverse(X2))),X2),inverse(inverse(inverse(X4))))) = X4 ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.47.0.2']),
% 0.57/0.99 [weight('<181,24,33,[0,0,0,0]>')]).
% 0.57/0.99 cnf('0.47.1.1',plain,
% 0.57/0.99 ( inverse(multiply(multiply(c,inverse(c)),inverse(inverse(inverse(X4))))) = X4 ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.47.1.0','0.45.2.1',theory(equality)]),
% 0.57/0.99 [pos('L.1.1','L')]).
% 0.57/0.99 cnf('0.47.2.0',plain,
% 0.57/0.99 ( inverse(multiply(multiply(c,inverse(c)),inverse(inverse(inverse(X1))))) = X1 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.47.1.1',theory(equality)]),
% 0.57/0.99 [u,rule_33]).
% 0.57/0.99 cnf('0.48.0.0',plain,
% 0.57/0.99 ( inverse(X1) = inverse(multiply(multiply(c,inverse(c)),X1)) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.47.2.0','0.37.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1.2','L')]).
% 0.57/0.99 cnf('0.48.1.0',plain,
% 0.57/0.99 ( inverse(X1) = inverse(multiply(multiply(c,inverse(c)),X1)) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.48.0.0']),
% 0.57/0.99 [weight('<79,47,37,[1,0,0,6]>')]).
% 0.57/0.99 cnf('0.48.2.0',plain,
% 0.57/0.99 ( inverse(multiply(multiply(c,inverse(c)),X1)) = inverse(X1) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_34]).
% 0.57/0.99 cnf('0.49.0.0',plain,
% 0.57/0.99 ( multiply(multiply(c,inverse(c)),X1) = inverse(inverse(inverse(inverse(X1)))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.37.2.0','0.48.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1.1.1','L')]).
% 0.57/0.99 cnf('0.49.0.1',plain,
% 0.57/0.99 ( multiply(multiply(c,inverse(c)),X1) = X1 ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.49.0.0','0.37.2.0',theory(equality)]),
% 0.57/0.99 [pos('R','L')]).
% 0.57/0.99 cnf('0.49.1.0',plain,
% 0.57/0.99 ( multiply(multiply(c,inverse(c)),X1) = X1 ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.49.0.1']),
% 0.57/0.99 [weight('<55,48,37,[0,0,0,3]>')]).
% 0.57/0.99 cnf('0.49.2.0',plain,
% 0.57/0.99 ( multiply(multiply(c,inverse(c)),X1) = X1 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_35]).
% 0.57/0.99 cnf('0.50.0.0',plain,
% 0.57/0.99 ( X1 = multiply(multiply(X2,inverse(X2)),X1) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.49.2.0','0.29.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1','L')]).
% 0.57/0.99 cnf('0.50.1.0',plain,
% 0.57/0.99 ( X1 = multiply(multiply(X2,inverse(X2)),X1) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.50.0.0']),
% 0.57/0.99 [weight('<55,49,29,[1,0,0,1]>')]).
% 0.57/0.99 cnf('0.50.2.0',plain,
% 0.57/0.99 ( multiply(multiply(X1,inverse(X1)),X2) = X2 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_36]).
% 0.57/0.99 cnf('0.51.0.0',plain,
% 0.57/0.99 ( multiply(multiply(X1,inverse(X1)),multiply(multiply(X2,inverse(X2)),X3)) = inverse(inverse(X3)) ),
% 0.57/0.99 inference(interreduction_right,[status(thm)],['0.46.2.0'])).
% 0.57/0.99 cnf('0.51.0.1',plain,
% 0.57/0.99 ( multiply(multiply(X2,inverse(X2)),X3) = inverse(inverse(X3)) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.51.0.0','0.50.2.0',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('0.51.0.2',plain,
% 0.57/0.99 ( X3 = inverse(inverse(X3)) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.51.0.1','0.50.2.0',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('0.51.1.0',plain,
% 0.57/0.99 ( X3 = inverse(inverse(X3)) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.51.0.2']),
% 0.57/0.99 [weight('<19,46,50,[0,0,0,0]>')]).
% 0.57/0.99 cnf('0.51.2.0',plain,
% 0.57/0.99 ( inverse(inverse(X1)) = X1 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_37]).
% 0.57/0.99 cnf('0.54.0.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),multiply(X1,X2)) = inverse(inverse(X2)) ),
% 0.57/0.99 inference(interreduction_right,[status(thm)],['0.33.2.0'])).
% 0.57/0.99 cnf('0.54.0.1',plain,
% 0.57/0.99 ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.54.0.0','0.51.2.0',theory(equality)]),
% 0.57/0.99 [pos('R','L')]).
% 0.57/0.99 cnf('0.54.1.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.54.0.1']),
% 0.57/0.99 [weight('<55,33,51,[0,0,0,0]>')]).
% 0.57/0.99 cnf('0.54.2.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_39]).
% 0.57/0.99 cnf('0.55.0.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(inverse(multiply(inverse(X1),X2)))) = X2 ),
% 0.57/0.99 inference(interreduction_right,[status(thm)],['0.40.2.0'])).
% 0.57/0.99 cnf('0.55.0.1',plain,
% 0.57/0.99 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.55.0.0','0.51.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.55.1.0',plain,
% 0.57/0.99 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.55.0.1']),
% 0.57/0.99 [weight('<55,40,51,[0,0,0,0]>')]).
% 0.57/0.99 cnf('0.55.2.0',plain,
% 0.57/0.99 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_40]).
% 0.57/0.99 cnf('0.61.0.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),X3)),X4),inverse(multiply(X2,X4)))))) = X3 ),
% 0.57/0.99 inference(interreduction_right,[status(thm)],['0.5.2.0'])).
% 0.57/0.99 cnf('0.61.0.1',plain,
% 0.57/0.99 ( inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(X2),X3)),X4),inverse(multiply(X2,X4)))))) = X3 ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.61.0.0','0.32.2.0',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('0.61.1.0',plain,
% 0.57/0.99 ( inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(X2),X3)),X4),inverse(multiply(X2,X4)))))) = X3 ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.61.0.1']),
% 0.57/0.99 [weight('<271,5,32,[0,0,0,0]>')]).
% 0.57/0.99 cnf('0.61.1.1',plain,
% 0.57/0.99 ( inverse(multiply(multiply(inverse(multiply(inverse(X2),X3)),X4),inverse(multiply(X2,X4)))) = X3 ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.61.1.0','0.51.2.0',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('0.61.2.0',plain,
% 0.57/0.99 ( inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3)))) = X2 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.61.1.1',theory(equality)]),
% 0.57/0.99 [u,rule_45]).
% 0.57/0.99 cnf('0.62.0.0',plain,
% 0.57/0.99 ( inverse(inverse(X1)) = inverse(multiply(multiply(multiply(X2,inverse(X2)),X3),inverse(multiply(X1,X3)))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.61.2.0','0.41.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1.1.1','L')]).
% 0.57/0.99 cnf('0.62.0.1',plain,
% 0.57/0.99 ( X1 = inverse(multiply(multiply(multiply(X2,inverse(X2)),X3),inverse(multiply(X1,X3)))) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.62.0.0','0.51.2.0',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('0.62.0.2',plain,
% 0.57/0.99 ( X1 = inverse(multiply(X3,inverse(multiply(X1,X3)))) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.62.0.1','0.50.2.0',theory(equality)]),
% 0.57/0.99 [pos('R.1.1','L')]).
% 0.57/0.99 cnf('0.62.1.0',plain,
% 0.57/0.99 ( X1 = inverse(multiply(X3,inverse(multiply(X1,X3)))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.62.0.2']),
% 0.57/0.99 [weight('<71,61,41,[1,0,0,3]>')]).
% 0.57/0.99 cnf('0.62.2.0',plain,
% 0.57/0.99 ( inverse(multiply(X1,inverse(multiply(X2,X1)))) = X2 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_46]).
% 0.57/0.99 cnf('0.63.0.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(multiply(X2,X1))) = inverse(X2) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.51.2.0','0.62.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1','L')]).
% 0.57/0.99 cnf('0.63.1.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(multiply(X2,X1))) = inverse(X2) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.63.0.0']),
% 0.57/0.99 [weight('<62,62,51,[0,0,0,1]>')]).
% 0.57/0.99 cnf('0.63.2.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(multiply(X2,X1))) = inverse(X2) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_47]).
% 0.57/0.99 cnf('0.66.0.0',plain,
% 0.57/0.99 ( inverse(multiply(X1,X2)) = multiply(inverse(X2),inverse(X1)) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.54.2.0','0.63.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.66.1.0',plain,
% 0.57/0.99 ( inverse(multiply(X1,X2)) = multiply(inverse(X2),inverse(X1)) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.66.0.0']),
% 0.57/0.99 [weight('<59,63,54,[0,0,0,3]>')]).
% 0.57/0.99 cnf('0.66.2.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_50]).
% 0.57/0.99 cnf('0.67.0.0',plain,
% 0.57/0.99 ( inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.55.2.0','0.63.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.67.1.0',plain,
% 0.57/0.99 ( inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.67.0.0']),
% 0.57/0.99 [weight('<59,63,55,[0,0,0,2]>')]).
% 0.57/0.99 cnf('0.67.2.0',plain,
% 0.57/0.99 ( inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_51]).
% 0.57/0.99 cnf('0.68.0.0',plain,
% 0.57/0.99 ( inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.66.2.0','0.51.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.68.1.0',plain,
% 0.57/0.99 ( inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.68.0.0']),
% 0.57/0.99 [weight('<59,66,51,[1,0,0,3]>')]).
% 0.57/0.99 cnf('0.68.2.0',plain,
% 0.57/0.99 ( inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_52]).
% 0.57/0.99 cnf('0.69.0.0',plain,
% 0.57/0.99 ( inverse(X1) = multiply(inverse(multiply(X2,X1)),inverse(inverse(X2))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.63.2.0','0.63.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2.1','L')]).
% 0.57/0.99 cnf('0.69.0.1',plain,
% 0.57/0.99 ( inverse(X1) = multiply(inverse(multiply(X2,X1)),X2) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.69.0.0','0.51.2.0',theory(equality)]),
% 0.57/0.99 [pos('R.2','L')]).
% 0.57/0.99 cnf('0.69.1.0',plain,
% 0.57/0.99 ( inverse(X1) = multiply(inverse(multiply(X2,X1)),X2) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.69.0.1']),
% 0.57/0.99 [weight('<62,63,63,[0,0,0,3]>')]).
% 0.57/0.99 cnf('0.69.2.0',plain,
% 0.57/0.99 ( multiply(inverse(multiply(X1,X2)),X1) = inverse(X2) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_53]).
% 0.57/0.99 cnf('0.82.0.0',plain,
% 0.57/0.99 ( inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3)))) = X2 ),
% 0.57/0.99 inference(interreduction_right,[status(thm)],['0.61.2.0'])).
% 0.57/0.99 cnf('0.82.0.1',plain,
% 0.57/0.99 ( multiply(multiply(X1,X3),inverse(multiply(inverse(multiply(inverse(X1),X2)),X3))) = X2 ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.82.0.0','0.67.2.0',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('0.82.1.0',plain,
% 0.57/0.99 ( multiply(multiply(X1,X3),inverse(multiply(inverse(multiply(inverse(X1),X2)),X3))) = X2 ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.82.0.1']),
% 0.57/0.99 [weight('<181,61,67,[0,0,0,0]>')]).
% 0.57/0.99 cnf('0.82.1.1',plain,
% 0.57/0.99 ( multiply(multiply(X1,X3),multiply(inverse(X3),multiply(inverse(X1),X2))) = X2 ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.82.1.0','0.68.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.82.2.0',plain,
% 0.57/0.99 ( multiply(multiply(X1,X2),multiply(inverse(X2),multiply(inverse(X1),X3))) = X3 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.82.1.1',theory(equality)]),
% 0.57/0.99 [u,rule_66]).
% 0.57/0.99 cnf('0.83.0.0',plain,
% 0.57/0.99 ( inverse(multiply(inverse(X1),multiply(inverse(X2),X3))) = multiply(inverse(X3),multiply(X2,X1)) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.69.2.0','0.82.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1.1','L')]).
% 0.57/0.99 cnf('0.83.0.1',plain,
% 0.57/0.99 ( multiply(inverse(multiply(inverse(X2),X3)),X1) = multiply(inverse(X3),multiply(X2,X1)) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.83.0.0','0.68.2.0',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('0.83.0.2',plain,
% 0.57/0.99 ( multiply(multiply(inverse(X3),X2),X1) = multiply(inverse(X3),multiply(X2,X1)) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.83.0.1','0.68.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1','L')]).
% 0.57/0.99 cnf('0.83.1.0',plain,
% 0.57/0.99 ( multiply(multiply(inverse(X3),X2),X1) = multiply(inverse(X3),multiply(X2,X1)) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.83.0.2']),
% 0.57/0.99 [weight('<90,82,69,[0,0,0,2]>')]).
% 0.57/0.99 cnf('0.83.2.0',plain,
% 0.57/0.99 ( multiply(multiply(inverse(X1),X2),X3) = multiply(inverse(X1),multiply(X2,X3)) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_67]).
% 0.57/0.99 cnf('0.84.0.0',plain,
% 0.57/0.99 ( multiply(inverse(inverse(X1)),multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.83.2.0','0.51.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1.1','L')]).
% 0.57/0.99 cnf('0.84.0.1',plain,
% 0.57/0.99 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.84.0.0','0.51.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1','L')]).
% 0.57/0.99 cnf('0.84.1.0',plain,
% 0.57/0.99 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.84.0.1']),
% 0.57/0.99 [weight('<65,83,51,[1,0,0,2]>')]).
% 0.57/0.99 cnf('0.84.2.0',plain,
% 0.57/0.99 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.84.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_68]).
% 0.57/0.99 cnf('1.0.0.0',conjecture,
% 0.57/0.99 ( multiply(multiply(a,b),c) = multiply(a,multiply(b,c)) ),
% 0.57/0.99 file('/tmp/WALDMEISTER_10791_n007',conjecture_1)).
% 0.57/0.99 cnf('1.0.0.1',plain,
% 0.57/0.99 ( multiply(a,multiply(b,c)) = multiply(a,multiply(b,c)) ),
% 0.57/0.99 inference(reduction,[status(thm)],['1.0.0.0','0.84.2.0',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('1.0.0.2',plain,
% 0.57/0.99 ( $true ),
% 0.57/0.99 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.57/0.99 [conjecture_1]).
% 0.57/0.99
% 0.57/0.99 Proved Goals:
% 0.57/0.99 No. 1: multiply(multiply(a,b),c) ?= multiply(a,multiply(b,c)) joined, current: multiply(a,multiply(b,c)) = multiply(a,multiply(b,c))
% 0.57/0.99 1 goal was specified, which was proved.
% 0.57/0.99 % SZS output end CNFRefutation
% 0.57/0.99 #END OF PROOF
% 0.57/0.99
% 0.57/0.99 Problem WALDMEISTER_10791_n007
% 0.57/0.99 CPs.gen 4521
% 0.57/0.99 CPs.reexp 0
% 0.57/0.99 Select 421
% 0.57/0.99 R 68
% 0.57/0.99 E 16
% 0.57/0.99 vsize 6.4M
% 0.57/0.99 rss 3.8M
% 0.57/0.99 process.time 0.033s
% 0.57/0.99 wallclock.time 0.033s
% 0.57/0.99 status S
% 0.57/0.99
% 0.57/0.99
% 0.57/0.99 Waldmeister states: Goal proved.
% 0.57/0.99 % SZS status Unsatisfiable
%------------------------------------------------------------------------------