TSTP Solution File: GRP417-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP417-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n022.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 12:26:11 EDT 2022
% Result : Unsatisfiable 0.60s 1.00s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP417-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n022.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 06:41:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.57/0.97 ********************************************************************************
% 0.57/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.97 * |/ | \/ | *
% 0.57/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.97 * A. Jaeger and B. Loechner | | *
% 0.57/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.97 ********************************************************************************
% 0.57/0.97
% 0.57/0.97
% 0.57/0.97 Goals:
% 0.57/0.97 ------
% 0.57/0.97
% 0.57/0.97 ( 1) multiply(multiply(a3,b3),c3) ?=? multiply(a3,multiply(b3,c3))
% 0.57/0.97
% 0.57/0.97 Detected structure: Orkus
% 0.57/0.97 ********************************************************************************
% 0.57/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.97 ********************************************************************************
% 0.57/0.97
% 0.60/1.00 joined goal: 1 multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) to multiply(a3,multiply(b3,c3))
% 0.60/1.00 goal joined
% 0.60/1.00 % SZS status Unsatisfiable
% 0.60/1.00 #START OF PROOF
% 0.60/1.00 % SZS output start CNFRefutation
% 0.60/1.00 cnf('0.1.0.0',axiom,
% 0.60/1.00 ( X1 = inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(X1)))),inverse(multiply(inverse(X2),X2)))))) ),
% 0.60/1.00 file('/tmp/WALDMEISTER_6086_n022')).
% 0.60/1.00 cnf('0.1.1.0',plain,
% 0.60/1.00 ( X1 = inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(X1)))),inverse(multiply(inverse(X2),X2)))))) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.60/1.00 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.60/1.00 cnf('0.1.2.0',plain,
% 0.60/1.00 ( inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X1),X1)))))) = X3 ),
% 0.60/1.00 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_1]).
% 0.60/1.00 cnf('0.2.0.0',plain,
% 0.60/1.00 ( X1 = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X3),X3)))),inverse(multiply(inverse(multiply(X4,multiply(X3,inverse(X1)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X3),X3)))))))))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.1.2.1.1.1.1','L')]).
% 0.60/1.00 cnf('0.2.1.0',plain,
% 0.60/1.00 ( X1 = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X3),X3)))),inverse(multiply(inverse(multiply(X4,multiply(X3,inverse(X1)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X3),X3)))))))))) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.60/1.00 [weight('<?,1,1,[0,0,0,7]>')]).
% 0.60/1.00 cnf('0.2.2.0',plain,
% 0.60/1.00 ( inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X2),X2)))),inverse(multiply(inverse(multiply(X3,multiply(X2,inverse(X4)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X2),X2)))))))))) = X4 ),
% 0.60/1.00 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_2]).
% 0.60/1.00 cnf('0.3.0.0',plain,
% 0.60/1.00 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X1),X1))))) = inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X5,X3))),inverse(multiply(inverse(X4),X4)))))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.1.2.1.1.1.2.2','L')]).
% 0.60/1.00 cnf('0.3.1.0',plain,
% 0.60/1.00 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X1),X1))))) = inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X5,X3))),inverse(multiply(inverse(X4),X4)))))) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.60/1.00 [weight('<1520,1,1,[0,0,0,13]>')]).
% 0.60/1.00 cnf('0.3.2.0',plain,
% 0.60/1.00 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X1),X1))))) = inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X5,X3))),inverse(multiply(inverse(X4),X4)))))) ),
% 0.60/1.00 inference(activate,[status(thm)],['0.3.1.0']),
% 0.60/1.00 [equation_1]).
% 0.60/1.00 cnf('0.3.2.1',plain,
% 0.60/1.00 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X1),X1))))) = inverse(multiply(c3,inverse(multiply(inverse(multiply(inverse(multiply(c3,c3)),multiply(c3,X3))),inverse(multiply(inverse(c3),c3)))))) ),
% 0.60/1.00 inference(instr,[status(thm)],['0.3.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.3.2.2',plain,
% 0.60/1.00 ( multiply(c3,inverse(multiply(inverse(multiply(inverse(multiply(c3,c3)),multiply(c3,inverse(X3)))),inverse(multiply(inverse(c3),c3))))) = inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X3))),inverse(multiply(inverse(X1),X1)))))) ),
% 0.60/1.00 inference(instl,[status(thm)],['0.3.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.4.0.0',plain,
% 0.60/1.00 ( inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X1),X1)))))) = X3 ),
% 0.60/1.00 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.60/1.00 cnf('0.4.1.0',plain,
% 0.60/1.00 ( inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X1),X1)))))) = X3 ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.60/1.00 [weight('<461,1,3,[0,0,0,0]>')]).
% 0.60/1.00 cnf('0.4.1.1',plain,
% 0.60/1.00 ( multiply(c3,inverse(multiply(inverse(multiply(inverse(multiply(c3,c3)),multiply(c3,inverse(inverse(X3))))),inverse(multiply(inverse(c3),c3))))) = X3 ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.4.1.0','0.3.2.2',theory(equality)]),
% 0.60/1.00 [pos('L','R')]).
% 0.60/1.00 cnf('0.4.2.0',plain,
% 0.60/1.00 ( multiply(c3,inverse(multiply(inverse(multiply(inverse(multiply(c3,c3)),multiply(c3,inverse(inverse(X1))))),inverse(multiply(inverse(c3),c3))))) = X1 ),
% 0.60/1.00 inference(orient,[status(thm)],['0.4.1.1',theory(equality)]),
% 0.60/1.00 [u,rule_3]).
% 0.60/1.00 cnf('0.5.0.0',plain,
% 0.60/1.00 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(inverse(X3)))))),inverse(multiply(inverse(X1),X1))))) = inverse(X3) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.3.2.0','0.4.2.0',theory(equality)]),
% 0.60/1.00 [pos('R.1','L')]).
% 0.60/1.00 cnf('0.5.1.0',plain,
% 0.60/1.00 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(inverse(X3)))))),inverse(multiply(inverse(X1),X1))))) = inverse(X3) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.60/1.00 [weight('<527,4,3,[0,0,1,1]>')]).
% 0.60/1.00 cnf('0.5.2.0',plain,
% 0.60/1.00 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(inverse(X3)))))),inverse(multiply(inverse(X1),X1))))) = inverse(X3) ),
% 0.60/1.00 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.60/1.00 [u,rule_4]).
% 0.60/1.00 cnf('0.6.0.0',plain,
% 0.60/1.00 ( inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X2),X2)))),inverse(multiply(inverse(multiply(X3,multiply(X2,inverse(X4)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X2),X2)))))))))) = multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X6,inverse(inverse(X4))))),inverse(multiply(inverse(X5),X5))))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.5.2.0','0.2.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2.1.1.1.2.2.1.1','L')]).
% 0.60/1.00 cnf('0.6.0.1',plain,
% 0.60/1.00 ( X4 = multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X6,inverse(inverse(X4))))),inverse(multiply(inverse(X5),X5))))) ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.6.0.0','0.2.2.0',theory(equality)]),
% 0.60/1.00 [pos('L','L')]).
% 0.60/1.00 cnf('0.6.1.0',plain,
% 0.60/1.00 ( X4 = multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X6,inverse(inverse(X4))))),inverse(multiply(inverse(X5),X5))))) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.6.0.1']),
% 0.60/1.00 [weight('<461,5,2,[1,0,0,14]>')]).
% 0.60/1.00 cnf('0.6.2.0',plain,
% 0.60/1.00 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(X3))))),inverse(multiply(inverse(X1),X1))))) = X3 ),
% 0.60/1.00 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_5]).
% 0.60/1.00 cnf('0.7.0.0',plain,
% 0.60/1.00 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(inverse(X5))))),inverse(multiply(inverse(X4),X4)))))))),inverse(multiply(inverse(X1),X1))))) = inverse(multiply(X6,inverse(multiply(inverse(multiply(inverse(multiply(X4,X6)),X5)),inverse(multiply(inverse(X6),X6)))))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.3.2.0','0.6.2.0',theory(equality)]),
% 0.60/1.00 [pos('R.1.2.1.1.1.2','L')]).
% 0.60/1.00 cnf('0.7.0.1',plain,
% 0.60/1.00 ( multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(inverse(X5))))),inverse(multiply(inverse(X4),X4))) = inverse(multiply(X6,inverse(multiply(inverse(multiply(inverse(multiply(X4,X6)),X5)),inverse(multiply(inverse(X6),X6)))))) ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.7.0.0','0.6.2.0',theory(equality)]),
% 0.60/1.00 [pos('L','L')]).
% 0.60/1.00 cnf('0.7.1.0',plain,
% 0.60/1.00 ( multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(inverse(X5))))),inverse(multiply(inverse(X4),X4))) = inverse(multiply(X6,inverse(multiply(inverse(multiply(inverse(multiply(X4,X6)),X5)),inverse(multiply(inverse(X6),X6)))))) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.7.0.1']),
% 0.60/1.00 [weight('<1224,6,3,[0,0,1,11]>')]).
% 0.60/1.00 cnf('0.7.2.0',plain,
% 0.60/1.00 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(X3))))),inverse(multiply(inverse(X2),X2))) = inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X2,X4)),X3)),inverse(multiply(inverse(X4),X4)))))) ),
% 0.60/1.00 inference(activate,[status(thm)],['0.7.1.0']),
% 0.60/1.00 [equation_2]).
% 0.60/1.00 cnf('0.7.2.1',plain,
% 0.60/1.00 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(X3))))),inverse(multiply(inverse(X2),X2))) = inverse(multiply(c3,inverse(multiply(inverse(multiply(inverse(multiply(X2,c3)),X3)),inverse(multiply(inverse(c3),c3)))))) ),
% 0.60/1.00 inference(instr,[status(thm)],['0.7.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.7.2.2',plain,
% 0.60/1.00 ( multiply(inverse(multiply(inverse(multiply(c3,X2)),multiply(c3,inverse(inverse(X3))))),inverse(multiply(inverse(X2),X2))) = inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),X3)),inverse(multiply(inverse(X1),X1)))))) ),
% 0.60/1.00 inference(instl,[status(thm)],['0.7.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.8.0.0',plain,
% 0.60/1.00 ( X1 = multiply(X2,inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X1)),inverse(multiply(inverse(X3),X3)))))))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.6.2.0','0.7.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2.1','L')]).
% 0.60/1.00 cnf('0.8.1.0',plain,
% 0.60/1.00 ( X1 = multiply(X2,inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X1)),inverse(multiply(inverse(X3),X3)))))))) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.60/1.00 [weight('<461,7,6,[0,0,0,3]>')]).
% 0.60/1.00 cnf('0.8.2.0',plain,
% 0.60/1.00 ( multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),inverse(multiply(inverse(X2),X2)))))))) = X3 ),
% 0.60/1.00 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_6]).
% 0.60/1.00 cnf('0.9.0.0',plain,
% 0.60/1.00 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(inverse(X3)))))))),inverse(multiply(inverse(X2),X2))) = inverse(X3) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.7.2.0','0.6.2.0',theory(equality)]),
% 0.60/1.00 [pos('R.1','L')]).
% 0.60/1.00 cnf('0.9.1.0',plain,
% 0.60/1.00 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(inverse(X3)))))))),inverse(multiply(inverse(X2),X2))) = inverse(X3) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.60/1.00 [weight('<527,7,6,[1,1,0,1]>')]).
% 0.60/1.00 cnf('0.9.2.0',plain,
% 0.60/1.00 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(inverse(X3)))))))),inverse(multiply(inverse(X2),X2))) = inverse(X3) ),
% 0.60/1.00 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.60/1.00 [u,rule_7]).
% 0.60/1.00 cnf('0.10.0.0',plain,
% 0.60/1.00 ( inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X2),X2)))),inverse(multiply(inverse(multiply(X3,multiply(X2,inverse(X4)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X2),X2)))))))))) = multiply(inverse(multiply(inverse(multiply(X5,X6)),multiply(X5,inverse(inverse(multiply(X6,inverse(X4))))))),inverse(multiply(inverse(X6),X6))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.9.2.0','0.2.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.1.1.2.2.1.1.2.1','L')]).
% 0.60/1.00 cnf('0.10.0.1',plain,
% 0.60/1.00 ( X4 = multiply(inverse(multiply(inverse(multiply(X5,X6)),multiply(X5,inverse(inverse(multiply(X6,inverse(X4))))))),inverse(multiply(inverse(X6),X6))) ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.10.0.0','0.2.2.0',theory(equality)]),
% 0.60/1.00 [pos('L','L')]).
% 0.60/1.00 cnf('0.10.1.0',plain,
% 0.60/1.00 ( X4 = multiply(inverse(multiply(inverse(multiply(X5,X6)),multiply(X5,inverse(inverse(multiply(X6,inverse(X4))))))),inverse(multiply(inverse(X6),X6))) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.10.0.1']),
% 0.60/1.00 [weight('<461,9,2,[1,0,0,14]>')]).
% 0.60/1.00 cnf('0.10.2.0',plain,
% 0.60/1.00 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(X3))))))),inverse(multiply(inverse(X2),X2))) = X3 ),
% 0.60/1.00 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_8]).
% 0.60/1.00 cnf('0.11.0.0',plain,
% 0.60/1.00 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(multiply(inverse(X3),X3)))))),inverse(multiply(inverse(X1),X1))))) = inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X3)),multiply(X5,inverse(inverse(multiply(X3,inverse(X6))))))),X4)),X6)),inverse(multiply(inverse(X4),X4)))))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.3.2.0','0.10.2.0',theory(equality)]),
% 0.60/1.00 [pos('R.1.2.1.1.1.2','L')]).
% 0.60/1.00 cnf('0.11.0.1',plain,
% 0.60/1.00 ( multiply(inverse(X3),X3) = inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X3)),multiply(X5,inverse(inverse(multiply(X3,inverse(X6))))))),X4)),X6)),inverse(multiply(inverse(X4),X4)))))) ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.11.0.0','0.6.2.0',theory(equality)]),
% 0.60/1.00 [pos('L','L')]).
% 0.60/1.00 cnf('0.11.1.0',plain,
% 0.60/1.00 ( multiply(inverse(X3),X3) = inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X3)),multiply(X5,inverse(inverse(multiply(X3,inverse(X6))))))),X4)),X6)),inverse(multiply(inverse(X4),X4)))))) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.11.0.1']),
% 0.60/1.00 [weight('<1084,10,3,[0,0,1,11]>')]).
% 0.60/1.00 cnf('0.11.2.0',plain,
% 0.60/1.00 ( inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(multiply(X3,inverse(X4))))))),X1)),X4)),inverse(multiply(inverse(X1),X1)))))) = multiply(inverse(X3),X3) ),
% 0.60/1.00 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_9]).
% 0.60/1.00 cnf('0.12.0.0',plain,
% 0.60/1.00 ( multiply(inverse(X1),X1) = inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.11.2.0','0.10.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.1.2.1.1.1.1.1','L')]).
% 0.60/1.00 cnf('0.12.1.0',plain,
% 0.60/1.00 ( multiply(inverse(X1),X1) = inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.60/1.00 [weight('<895,11,10,[1,0,0,8]>')]).
% 0.60/1.00 cnf('0.12.2.0',plain,
% 0.60/1.00 ( inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))) = multiply(inverse(X1),X1) ),
% 0.60/1.00 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_10]).
% 0.60/1.00 cnf('0.14.0.0',plain,
% 0.60/1.00 ( inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(inverse(X4))))),inverse(multiply(inverse(inverse(multiply(X2,X3))),inverse(multiply(X2,X3)))))) = multiply(X2,inverse(inverse(multiply(X3,inverse(multiply(inverse(X4),inverse(multiply(inverse(X3),X3)))))))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.8.2.0','0.6.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2.1.1.2.1.1.1','L')]).
% 0.60/1.00 cnf('0.14.1.0',plain,
% 0.60/1.00 ( inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(inverse(X4))))),inverse(multiply(inverse(inverse(multiply(X2,X3))),inverse(multiply(X2,X3)))))) = multiply(X2,inverse(inverse(multiply(X3,inverse(multiply(inverse(X4),inverse(multiply(inverse(X3),X3)))))))) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.60/1.00 [weight('<1203,8,6,[1,0,0,9]>')]).
% 0.60/1.00 cnf('0.14.1.1',plain,
% 0.60/1.00 ( inverse(inverse(multiply(c3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),c3)),X4)),inverse(multiply(inverse(c3),c3))))))) = multiply(X2,inverse(inverse(multiply(X3,inverse(multiply(inverse(X4),inverse(multiply(inverse(X3),X3)))))))) ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.14.1.0','0.7.2.1',theory(equality)]),
% 0.60/1.00 [pos('L.1','L')]).
% 0.60/1.00 cnf('0.14.2.0',plain,
% 0.60/1.00 ( inverse(inverse(multiply(c3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),c3)),X3)),inverse(multiply(inverse(c3),c3))))))) = multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(inverse(X2),X2)))))))) ),
% 0.60/1.00 inference(activate,[status(thm)],['0.14.1.1']),
% 0.60/1.00 [equation_4]).
% 0.60/1.00 cnf('0.15.0.0',plain,
% 0.60/1.00 ( X1 = multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(multiply(X3,inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),X3))))))))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.8.2.0','0.14.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2','L')]).
% 0.60/1.00 cnf('0.15.1.0',plain,
% 0.60/1.00 ( X1 = multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(multiply(X3,inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),X3))))))))) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.60/1.00 [weight('<461,14,8,[0,0,0,2]>')]).
% 0.60/1.00 cnf('0.15.2.0',plain,
% 0.60/1.00 ( multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(inverse(X2),X2))))))))) = X3 ),
% 0.60/1.00 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_11]).
% 0.60/1.00 cnf('0.16.0.0',plain,
% 0.60/1.00 ( multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(X3)))) = multiply(inverse(multiply(X4,X2)),multiply(X4,inverse(inverse(X3)))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.15.2.0','0.6.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2.2.1.1','L')]).
% 0.60/1.00 cnf('0.16.1.0',plain,
% 0.60/1.00 ( multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(X3)))) = multiply(inverse(multiply(X4,X2)),multiply(X4,inverse(inverse(X3)))) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.60/1.00 [weight('<440,15,6,[1,0,0,9]>')]).
% 0.60/1.00 cnf('0.16.2.0',plain,
% 0.60/1.00 ( multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(X3)))) = multiply(inverse(multiply(X4,X2)),multiply(X4,inverse(inverse(X3)))) ),
% 0.60/1.00 inference(activate,[status(thm)],['0.16.1.0']),
% 0.60/1.00 [equation_5]).
% 0.60/1.00 cnf('0.16.2.1',plain,
% 0.60/1.00 ( multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(X3)))) = multiply(inverse(multiply(c3,X2)),multiply(c3,inverse(inverse(X3)))) ),
% 0.60/1.00 inference(instr,[status(thm)],['0.16.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.16.2.2',plain,
% 0.60/1.00 ( multiply(inverse(multiply(c3,X2)),multiply(c3,inverse(inverse(X3)))) = multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(X3)))) ),
% 0.60/1.00 inference(instl,[status(thm)],['0.16.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.17.0.0',plain,
% 0.60/1.00 ( multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(X5)))),inverse(multiply(inverse(X4),X4)))),inverse(multiply(inverse(multiply(X5,multiply(X4,inverse(X6)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(X5)))),inverse(multiply(inverse(X4),X4))))),inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(X5)))),inverse(multiply(inverse(X4),X4))))))))))))) = multiply(inverse(multiply(X7,X2)),multiply(X7,inverse(X6))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.16.2.0','0.2.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2.2.1','L')]).
% 0.60/1.00 cnf('0.17.0.1',plain,
% 0.60/1.00 ( multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X6))) = multiply(inverse(multiply(X7,X2)),multiply(X7,inverse(X6))) ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.17.0.0','0.2.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2.2.1','L')]).
% 0.60/1.00 cnf('0.17.1.0',plain,
% 0.60/1.00 ( multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X6))) = multiply(inverse(multiply(X7,X2)),multiply(X7,inverse(X6))) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.17.0.1']),
% 0.60/1.00 [weight('<360,16,2,[1,0,0,8]>')]).
% 0.60/1.00 cnf('0.17.2.0',plain,
% 0.60/1.00 ( multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3))) = multiply(inverse(multiply(X4,X2)),multiply(X4,inverse(X3))) ),
% 0.60/1.00 inference(activate,[status(thm)],['0.17.1.0']),
% 0.60/1.00 [equation_6]).
% 0.60/1.00 cnf('0.17.2.1',plain,
% 0.60/1.00 ( multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3))) = multiply(inverse(multiply(c3,X2)),multiply(c3,inverse(X3))) ),
% 0.60/1.00 inference(instr,[status(thm)],['0.17.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.17.2.2',plain,
% 0.60/1.00 ( multiply(inverse(multiply(c3,X2)),multiply(c3,inverse(X3))) = multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3))) ),
% 0.60/1.00 inference(instl,[status(thm)],['0.17.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.18.0.0',plain,
% 0.60/1.00 ( multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(X5)))),inverse(multiply(inverse(X4),X4)))),inverse(multiply(inverse(multiply(X5,multiply(X4,inverse(X6)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(X5)))),inverse(multiply(inverse(X4),X4))))),inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(X5)))),inverse(multiply(inverse(X4),X4)))))))))))) = multiply(inverse(multiply(X7,X2)),multiply(X7,X6)) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.17.2.0','0.2.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2.2','L')]).
% 0.60/1.00 cnf('0.18.0.1',plain,
% 0.60/1.00 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X6)) = multiply(inverse(multiply(X7,X2)),multiply(X7,X6)) ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.18.0.0','0.2.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2.2','L')]).
% 0.60/1.00 cnf('0.18.1.0',plain,
% 0.60/1.00 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X6)) = multiply(inverse(multiply(X7,X2)),multiply(X7,X6)) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.18.0.1']),
% 0.60/1.00 [weight('<288,17,2,[1,0,0,7]>')]).
% 0.60/1.00 cnf('0.18.2.0',plain,
% 0.60/1.00 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)) ),
% 0.60/1.00 inference(activate,[status(thm)],['0.18.1.0']),
% 0.60/1.00 [equation_7]).
% 0.60/1.00 cnf('0.18.2.1',plain,
% 0.60/1.00 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(c3,X2)),multiply(c3,X3)) ),
% 0.60/1.00 inference(instr,[status(thm)],['0.18.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.18.2.2',plain,
% 0.60/1.00 ( multiply(inverse(multiply(c3,X2)),multiply(c3,X3)) = multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) ),
% 0.60/1.00 inference(instl,[status(thm)],['0.18.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.19.0.0',plain,
% 0.60/1.00 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))),multiply(X2,inverse(multiply(inverse(X3),X3)))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.15.2.0','0.12.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2.2.1','L')]).
% 0.60/1.00 cnf('0.19.1.0',plain,
% 0.60/1.00 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))),multiply(X2,inverse(multiply(inverse(X3),X3)))) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.60/1.00 [weight('<440,15,12,[1,0,0,8]>')]).
% 0.60/1.00 cnf('0.19.2.0',plain,
% 0.60/1.00 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))),multiply(X2,inverse(multiply(inverse(X3),X3)))) ),
% 0.60/1.00 inference(activate,[status(thm)],['0.19.1.0']),
% 0.60/1.00 [equation_8]).
% 0.60/1.00 cnf('0.19.2.1',plain,
% 0.60/1.00 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(c3,inverse(multiply(inverse(c3),c3)))),multiply(c3,inverse(multiply(inverse(c3),c3)))) ),
% 0.60/1.00 inference(instr,[status(thm)],['0.19.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.19.2.2',plain,
% 0.60/1.00 ( multiply(inverse(c3),c3) = multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(multiply(inverse(X2),X2)))) ),
% 0.60/1.00 inference(instl,[status(thm)],['0.19.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.20.0.0',plain,
% 0.60/1.00 ( multiply(inverse(X1),X1) = multiply(inverse(X2),multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(inverse(multiply(X4,inverse(X2))))))),inverse(multiply(inverse(X4),X4)))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.19.2.0','0.10.2.0',theory(equality)]),
% 0.60/1.00 [pos('R.1.1','L')]).
% 0.60/1.00 cnf('0.20.0.1',plain,
% 0.60/1.00 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.20.0.0','0.10.2.0',theory(equality)]),
% 0.60/1.00 [pos('R.2','L')]).
% 0.60/1.00 cnf('0.20.1.0',plain,
% 0.60/1.00 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.60/1.00 [weight('<80,19,10,[1,1,0,2]>')]).
% 0.60/1.00 cnf('0.20.2.0',plain,
% 0.60/1.00 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 0.60/1.00 inference(activate,[status(thm)],['0.20.1.0']),
% 0.60/1.00 [equation_9]).
% 0.60/1.00 cnf('0.20.2.1',plain,
% 0.60/1.00 ( multiply(inverse(X1),X1) = multiply(inverse(c3),c3) ),
% 0.60/1.00 inference(instr,[status(thm)],['0.20.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.20.2.2',plain,
% 0.60/1.00 ( multiply(inverse(c3),c3) = multiply(inverse(X1),X1) ),
% 0.60/1.00 inference(instl,[status(thm)],['0.20.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.24.0.0',plain,
% 0.60/1.00 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(inverse(X3),X2)),multiply(inverse(X4),X4)) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.18.2.0','0.20.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2','L')]).
% 0.60/1.00 cnf('0.24.1.0',plain,
% 0.60/1.00 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(inverse(X3),X2)),multiply(inverse(X4),X4)) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.60/1.00 [weight('<360,20,18,[0,0,0,5]>')]).
% 0.60/1.00 cnf('0.24.2.0',plain,
% 0.60/1.00 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(inverse(X3),X2)),multiply(inverse(X4),X4)) ),
% 0.60/1.00 inference(activate,[status(thm)],['0.24.1.0']),
% 0.60/1.00 [equation_11]).
% 0.60/1.00 cnf('0.24.2.1',plain,
% 0.60/1.00 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(inverse(X3),X2)),multiply(inverse(c3),c3)) ),
% 0.60/1.00 inference(instr,[status(thm)],['0.24.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.24.2.2',plain,
% 0.60/1.00 ( multiply(inverse(multiply(c3,X2)),multiply(c3,X1)) = multiply(inverse(multiply(inverse(X1),X2)),multiply(inverse(X3),X3)) ),
% 0.60/1.00 inference(instl,[status(thm)],['0.24.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.25.0.0',plain,
% 0.60/1.00 ( inverse(multiply(inverse(X1),X1)) = multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(multiply(X1,inverse(multiply(inverse(X3),X3))))))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.15.2.0','0.20.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2.2.1.1.2.1','L')]).
% 0.60/1.00 cnf('0.25.1.0',plain,
% 0.60/1.00 ( inverse(multiply(inverse(X1),X1)) = multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(multiply(X1,inverse(multiply(inverse(X3),X3))))))) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.60/1.00 [weight('<373,20,15,[0,0,0,12]>')]).
% 0.60/1.00 cnf('0.25.2.0',plain,
% 0.60/1.00 ( multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(X3),X3))))))) = inverse(multiply(inverse(X2),X2)) ),
% 0.60/1.00 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_14]).
% 0.60/1.00 cnf('0.26.0.0',plain,
% 0.60/1.00 ( multiply(X1,X2) = multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(X2),X2)))))))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.8.2.0','0.20.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2.1.1.2.1.1.1','L')]).
% 0.60/1.00 cnf('0.26.1.0',plain,
% 0.60/1.00 ( multiply(X1,X2) = multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(X2),X2)))))))) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.60/1.00 [weight('<417,20,8,[0,0,0,9]>')]).
% 0.60/1.00 cnf('0.26.2.0',plain,
% 0.60/1.00 ( multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(X2),X2)))))))) = multiply(X1,X2) ),
% 0.60/1.00 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_15]).
% 0.60/1.00 cnf('0.27.0.0',plain,
% 0.60/1.00 ( inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X1),X1))))))) = multiply(X3,inverse(inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),X1)),inverse(multiply(inverse(X4),X4)))))))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.8.2.0','0.26.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2.1.1.2.1.1.1','L')]).
% 0.60/1.00 cnf('0.27.0.1',plain,
% 0.60/1.00 ( inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X1),X1))))))) = X1 ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.27.0.0','0.8.2.0',theory(equality)]),
% 0.60/1.00 [pos('R','L')]).
% 0.60/1.00 cnf('0.27.1.0',plain,
% 0.60/1.00 ( inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X1),X1))))))) = X1 ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.27.0.1']),
% 0.60/1.00 [weight('<305,26,8,[0,0,0,9]>')]).
% 0.60/1.00 cnf('0.27.2.0',plain,
% 0.60/1.00 ( inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X1),X1))))))) = X1 ),
% 0.60/1.00 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.60/1.00 [u,rule_16]).
% 0.60/1.00 cnf('0.28.0.0',plain,
% 0.60/1.00 ( X1 = inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X3),X3))))))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.27.2.0','0.20.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.1.1.2.1.2.1','L')]).
% 0.60/1.00 cnf('0.28.1.0',plain,
% 0.60/1.00 ( X1 = inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X3),X3))))))) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.60/1.00 [weight('<305,27,20,[1,0,0,12]>')]).
% 0.60/1.00 cnf('0.28.2.0',plain,
% 0.60/1.00 ( inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X3),X3))))))) = X1 ),
% 0.60/1.00 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_17]).
% 0.60/1.00 cnf('0.29.0.0',plain,
% 0.60/1.00 ( inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2))))) = inverse(inverse(multiply(inverse(X3),X3))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.28.2.0','0.20.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.1.1','L')]).
% 0.60/1.00 cnf('0.29.1.0',plain,
% 0.60/1.00 ( inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2))))) = inverse(inverse(multiply(inverse(X3),X3))) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.60/1.00 [weight('<399,28,20,[1,0,0,2]>')]).
% 0.60/1.00 cnf('0.29.2.0',plain,
% 0.60/1.00 ( inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2))))) = inverse(inverse(multiply(inverse(X3),X3))) ),
% 0.60/1.00 inference(activate,[status(thm)],['0.29.1.0']),
% 0.60/1.00 [equation_12]).
% 0.60/1.00 cnf('0.29.2.1',plain,
% 0.60/1.00 ( inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2))))) = inverse(inverse(multiply(inverse(c3),c3))) ),
% 0.60/1.00 inference(instr,[status(thm)],['0.29.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.29.2.2',plain,
% 0.60/1.00 ( inverse(inverse(multiply(inverse(multiply(inverse(c3),c3)),inverse(multiply(inverse(c3),c3))))) = inverse(inverse(multiply(inverse(X1),X1))) ),
% 0.60/1.00 inference(instl,[status(thm)],['0.29.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.30.0.0',plain,
% 0.60/1.00 ( multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2))) = multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(inverse(multiply(inverse(X5),X5)))))),inverse(multiply(inverse(X3),X3))))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.6.2.0','0.29.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2.1.1.1.2.2','L')]).
% 0.60/1.00 cnf('0.30.0.1',plain,
% 0.60/1.00 ( multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2))) = multiply(inverse(X5),X5) ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.30.0.0','0.6.2.0',theory(equality)]),
% 0.60/1.00 [pos('R','L')]).
% 0.60/1.00 cnf('0.30.1.0',plain,
% 0.60/1.00 ( multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2))) = multiply(inverse(X5),X5) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.30.0.1']),
% 0.60/1.00 [weight('<255,29,6,[0,0,0,12]>')]).
% 0.60/1.00 cnf('0.30.2.0',plain,
% 0.60/1.00 ( multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2))) = multiply(inverse(X3),X3) ),
% 0.60/1.00 inference(activate,[status(thm)],['0.30.1.0']),
% 0.60/1.00 [equation_13]).
% 0.60/1.00 cnf('0.30.2.1',plain,
% 0.60/1.00 ( multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2))) = multiply(inverse(c3),c3) ),
% 0.60/1.00 inference(instr,[status(thm)],['0.30.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.30.2.2',plain,
% 0.60/1.00 ( multiply(inverse(multiply(inverse(c3),c3)),inverse(multiply(inverse(c3),c3))) = multiply(inverse(X1),X1) ),
% 0.60/1.00 inference(instl,[status(thm)],['0.30.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.31.0.0',plain,
% 0.60/1.00 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(multiply(X3,inverse(multiply(inverse(X4),X4))))))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.15.2.0','0.30.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2.2.1.1.2.1','L')]).
% 0.60/1.00 cnf('0.31.0.1',plain,
% 0.60/1.00 ( multiply(inverse(X1),X1) = inverse(multiply(inverse(X3),X3)) ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.31.0.0','0.25.2.0',theory(equality)]),
% 0.60/1.00 [pos('R','L')]).
% 0.60/1.00 cnf('0.31.1.0',plain,
% 0.60/1.00 ( multiply(inverse(X1),X1) = inverse(multiply(inverse(X3),X3)) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.31.0.1']),
% 0.60/1.00 [weight('<99,30,15,[0,0,0,12]>')]).
% 0.60/1.00 cnf('0.31.2.0',plain,
% 0.60/1.00 ( multiply(inverse(X1),X1) = inverse(multiply(inverse(X2),X2)) ),
% 0.60/1.00 inference(activate,[status(thm)],['0.31.1.0']),
% 0.60/1.00 [equation_14]).
% 0.60/1.00 cnf('0.31.2.1',plain,
% 0.60/1.00 ( multiply(inverse(X1),X1) = inverse(multiply(inverse(c3),c3)) ),
% 0.60/1.00 inference(instr,[status(thm)],['0.31.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.31.2.2',plain,
% 0.60/1.00 ( multiply(inverse(c3),c3) = inverse(multiply(inverse(X1),X1)) ),
% 0.60/1.00 inference(instl,[status(thm)],['0.31.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.32.0.0',plain,
% 0.60/1.00 ( multiply(inverse(X1),X1) = multiply(multiply(inverse(X2),X2),multiply(inverse(X3),X3)) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.20.2.0','0.31.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.1','R')]).
% 0.60/1.00 cnf('0.32.1.0',plain,
% 0.60/1.00 ( multiply(inverse(X1),X1) = multiply(multiply(inverse(X2),X2),multiply(inverse(X3),X3)) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.32.0.0']),
% 0.60/1.00 [weight('<195,31,20,[0,1,0,1]>')]).
% 0.60/1.00 cnf('0.32.2.0',plain,
% 0.60/1.00 ( multiply(inverse(X1),X1) = multiply(multiply(inverse(X2),X2),multiply(inverse(X3),X3)) ),
% 0.60/1.00 inference(activate,[status(thm)],['0.32.1.0']),
% 0.60/1.00 [equation_15]).
% 0.60/1.00 cnf('0.32.2.1',plain,
% 0.60/1.00 ( multiply(inverse(X1),X1) = multiply(multiply(inverse(c3),c3),multiply(inverse(c3),c3)) ),
% 0.60/1.00 inference(instr,[status(thm)],['0.32.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.32.2.2',plain,
% 0.60/1.00 ( multiply(inverse(c3),c3) = multiply(multiply(inverse(X1),X1),multiply(inverse(X2),X2)) ),
% 0.60/1.00 inference(instl,[status(thm)],['0.32.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.33.0.0',plain,
% 0.60/1.00 ( inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X3),X3))))))) = X1 ),
% 0.60/1.00 inference(interreduction_right,[status(thm)],['0.28.2.0'])).
% 0.60/1.00 cnf('0.33.1.0',plain,
% 0.60/1.00 ( inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X3),X3))))))) = X1 ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.33.0.0']),
% 0.60/1.00 [weight('<305,28,30,[0,0,0,0]>')]).
% 0.60/1.00 cnf('0.33.1.1',plain,
% 0.60/1.00 ( inverse(inverse(multiply(X1,inverse(multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(X3),X3))))))) = X1 ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.33.1.0','0.31.2.2',theory(equality)]),
% 0.60/1.00 [pos('L.1.1.2.1.1','R')]).
% 0.60/1.00 cnf('0.33.1.2',plain,
% 0.60/1.00 ( inverse(inverse(multiply(X1,inverse(multiply(multiply(inverse(c3),c3),multiply(inverse(c3),c3)))))) = X1 ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.33.1.1','0.31.2.2',theory(equality)]),
% 0.60/1.00 [pos('L.1.1.2.1.2','R')]).
% 0.60/1.00 cnf('0.33.1.3',plain,
% 0.60/1.00 ( inverse(inverse(multiply(X1,inverse(multiply(inverse(c3),c3))))) = X1 ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.33.1.2','0.32.2.2',theory(equality)]),
% 0.60/1.00 [pos('L.1.1.2.1','R')]).
% 0.60/1.00 cnf('0.33.1.4',plain,
% 0.60/1.00 ( inverse(inverse(multiply(X1,multiply(inverse(c3),c3)))) = X1 ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.33.1.3','0.31.2.2',theory(equality)]),
% 0.60/1.00 [pos('L.1.1.2','R')]).
% 0.60/1.00 cnf('0.33.2.0',plain,
% 0.60/1.00 ( inverse(inverse(multiply(X1,multiply(inverse(c3),c3)))) = X1 ),
% 0.60/1.00 inference(orient,[status(thm)],['0.33.1.4',theory(equality)]),
% 0.60/1.00 [u,rule_18]).
% 0.60/1.00 cnf('0.34.0.0',plain,
% 0.60/1.00 ( X1 = inverse(inverse(multiply(X1,multiply(inverse(X2),X2)))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.33.2.0','0.20.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.1.1.2','L')]).
% 0.60/1.00 cnf('0.34.1.0',plain,
% 0.60/1.00 ( X1 = inverse(inverse(multiply(X1,multiply(inverse(X2),X2)))) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.60/1.00 [weight('<89,33,20,[1,0,0,4]>')]).
% 0.60/1.00 cnf('0.34.2.0',plain,
% 0.60/1.00 ( inverse(inverse(multiply(X1,multiply(inverse(X2),X2)))) = X1 ),
% 0.60/1.00 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_19]).
% 0.60/1.00 cnf('0.35.0.0',plain,
% 0.60/1.00 ( inverse(multiply(inverse(X1),X2)) = inverse(inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X1)))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.34.2.0','0.18.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.1.1','L')]).
% 0.60/1.00 cnf('0.35.1.0',plain,
% 0.60/1.00 ( inverse(multiply(inverse(X1),X2)) = inverse(inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X1)))) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.35.0.0']),
% 0.60/1.00 [weight('<175,34,18,[1,0,0,2]>')]).
% 0.60/1.00 cnf('0.35.2.0',plain,
% 0.60/1.00 ( inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3)))) = inverse(multiply(inverse(X3),X2)) ),
% 0.60/1.00 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_20]).
% 0.60/1.00 cnf('0.36.0.0',plain,
% 0.60/1.00 ( multiply(inverse(X1),X1) = multiply(X2,inverse(multiply(X2,multiply(inverse(X3),X3)))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.20.2.0','0.34.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.1','L')]).
% 0.60/1.00 cnf('0.36.1.0',plain,
% 0.60/1.00 ( multiply(inverse(X1),X1) = multiply(X2,inverse(multiply(X2,multiply(inverse(X3),X3)))) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.36.0.0']),
% 0.60/1.00 [weight('<195,34,20,[0,0,0,1]>')]).
% 0.60/1.00 cnf('0.36.2.0',plain,
% 0.60/1.00 ( multiply(inverse(X1),X1) = multiply(X2,inverse(multiply(X2,multiply(inverse(X3),X3)))) ),
% 0.60/1.00 inference(activate,[status(thm)],['0.36.1.0']),
% 0.60/1.00 [equation_16]).
% 0.60/1.00 cnf('0.36.2.1',plain,
% 0.60/1.00 ( multiply(inverse(X1),X1) = multiply(c3,inverse(multiply(c3,multiply(inverse(c3),c3)))) ),
% 0.60/1.00 inference(instr,[status(thm)],['0.36.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.36.2.2',plain,
% 0.60/1.00 ( multiply(inverse(c3),c3) = multiply(X1,inverse(multiply(X1,multiply(inverse(X2),X2)))) ),
% 0.60/1.00 inference(instl,[status(thm)],['0.36.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.46.0.0',plain,
% 0.60/1.00 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(X3))))),inverse(multiply(inverse(X1),X1))))) = X3 ),
% 0.60/1.00 inference(interreduction_right,[status(thm)],['0.6.2.0'])).
% 0.60/1.00 cnf('0.46.1.0',plain,
% 0.60/1.00 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(X3))))),inverse(multiply(inverse(X1),X1))))) = X3 ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.46.0.0']),
% 0.60/1.00 [weight('<461,6,31,[0,0,0,0]>')]).
% 0.60/1.00 cnf('0.46.1.1',plain,
% 0.60/1.00 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(X3))))),multiply(inverse(c3),c3)))) = X3 ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.46.1.0','0.31.2.2',theory(equality)]),
% 0.60/1.00 [pos('L.2.1.2','R')]).
% 0.60/1.00 cnf('0.46.1.2',plain,
% 0.60/1.00 ( multiply(X1,inverse(multiply(inverse(multiply(c3,multiply(X2,inverse(inverse(X3))))),multiply(c3,multiply(X2,X1))))) = X3 ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.46.1.1','0.24.2.2',theory(equality)]),
% 0.60/1.00 [pos('L.2.1','R')]).
% 0.60/1.00 cnf('0.46.2.0',plain,
% 0.60/1.00 ( multiply(X1,inverse(multiply(inverse(multiply(c3,multiply(X2,inverse(inverse(X3))))),multiply(c3,multiply(X2,X1))))) = X3 ),
% 0.60/1.00 inference(orient,[status(thm)],['0.46.1.2',theory(equality)]),
% 0.60/1.00 [u,rule_28]).
% 0.60/1.00 cnf('0.47.0.0',plain,
% 0.60/1.00 ( X1 = multiply(inverse(inverse(X1)),multiply(inverse(X2),X2)) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.46.2.0','0.31.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2','R')]).
% 0.60/1.00 cnf('0.47.1.0',plain,
% 0.60/1.00 ( X1 = multiply(inverse(inverse(X1)),multiply(inverse(X2),X2)) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.47.0.0']),
% 0.60/1.00 [weight('<89,46,31,[1,0,1,2]>')]).
% 0.60/1.00 cnf('0.47.2.0',plain,
% 0.60/1.00 ( multiply(inverse(inverse(X1)),multiply(inverse(X2),X2)) = X1 ),
% 0.60/1.00 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_29]).
% 0.60/1.00 cnf('0.48.0.0',plain,
% 0.60/1.00 ( inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))) = multiply(X4,inverse(multiply(inverse(multiply(c3,multiply(X5,inverse(inverse(multiply(inverse(X3),X2)))))),multiply(c3,multiply(X5,X4))))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.46.2.0','0.35.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2.1.1.1.2.2.1','L')]).
% 0.60/1.00 cnf('0.48.0.1',plain,
% 0.60/1.00 ( inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))) = multiply(inverse(X3),X2) ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.48.0.0','0.46.2.0',theory(equality)]),
% 0.60/1.00 [pos('R','L')]).
% 0.60/1.00 cnf('0.48.1.0',plain,
% 0.60/1.00 ( inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))) = multiply(inverse(X3),X2) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.48.0.1']),
% 0.60/1.00 [weight('<139,46,35,[1,0,0,10]>')]).
% 0.60/1.00 cnf('0.48.2.0',plain,
% 0.60/1.00 ( inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))) = multiply(inverse(X3),X2) ),
% 0.60/1.00 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 0.60/1.00 [u,rule_30]).
% 0.60/1.00 cnf('0.49.0.0',plain,
% 0.60/1.00 ( multiply(inverse(inverse(multiply(X1,multiply(inverse(X2),X2)))),X3) = inverse(multiply(inverse(multiply(X1,X3)),multiply(inverse(X4),X4))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.48.2.0','0.36.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.1.2','R')]).
% 0.60/1.00 cnf('0.49.0.1',plain,
% 0.60/1.00 ( multiply(X1,X3) = inverse(multiply(inverse(multiply(X1,X3)),multiply(inverse(X4),X4))) ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.49.0.0','0.34.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.1','L')]).
% 0.60/1.00 cnf('0.49.1.0',plain,
% 0.60/1.00 ( multiply(X1,X3) = inverse(multiply(inverse(multiply(X1,X3)),multiply(inverse(X4),X4))) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.49.0.1']),
% 0.60/1.00 [weight('<153,48,36,[1,0,1,6]>')]).
% 0.60/1.00 cnf('0.49.2.0',plain,
% 0.60/1.00 ( inverse(multiply(inverse(multiply(X1,X2)),multiply(inverse(X3),X3))) = multiply(X1,X2) ),
% 0.60/1.00 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_31]).
% 0.60/1.00 cnf('0.50.0.0',plain,
% 0.60/1.00 ( multiply(inverse(inverse(X1)),multiply(inverse(X2),X2)) = inverse(multiply(inverse(X1),multiply(inverse(X3),X3))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.49.2.0','0.47.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.1.1.1','L')]).
% 0.60/1.00 cnf('0.50.0.1',plain,
% 0.60/1.00 ( X1 = inverse(multiply(inverse(X1),multiply(inverse(X3),X3))) ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.50.0.0','0.47.2.0',theory(equality)]),
% 0.60/1.00 [pos('L','L')]).
% 0.60/1.00 cnf('0.50.1.0',plain,
% 0.60/1.00 ( X1 = inverse(multiply(inverse(X1),multiply(inverse(X3),X3))) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.50.0.1']),
% 0.60/1.00 [weight('<89,49,47,[1,0,0,3]>')]).
% 0.60/1.00 cnf('0.50.2.0',plain,
% 0.60/1.00 ( inverse(multiply(inverse(X1),multiply(inverse(X2),X2))) = X1 ),
% 0.60/1.00 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_32]).
% 0.60/1.00 cnf('0.51.0.0',plain,
% 0.60/1.00 ( multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),X2))),multiply(inverse(X3),X3)) = multiply(X4,multiply(inverse(X4),X1)) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.24.2.0','0.50.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.1','L')]).
% 0.60/1.00 cnf('0.51.0.1',plain,
% 0.60/1.00 ( multiply(X1,multiply(inverse(X3),X3)) = multiply(X4,multiply(inverse(X4),X1)) ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.51.0.0','0.50.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.1','L')]).
% 0.60/1.00 cnf('0.51.1.0',plain,
% 0.60/1.00 ( multiply(X1,multiply(inverse(X3),X3)) = multiply(X4,multiply(inverse(X4),X1)) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.51.0.1']),
% 0.60/1.00 [weight('<168,50,24,[0,0,0,1]>')]).
% 0.60/1.00 cnf('0.51.2.0',plain,
% 0.60/1.00 ( multiply(X1,multiply(inverse(X2),X2)) = multiply(X3,multiply(inverse(X3),X1)) ),
% 0.60/1.00 inference(activate,[status(thm)],['0.51.1.0']),
% 0.60/1.00 [equation_19]).
% 0.60/1.00 cnf('0.51.2.1',plain,
% 0.60/1.00 ( multiply(X1,multiply(inverse(X2),X2)) = multiply(c3,multiply(inverse(c3),X1)) ),
% 0.60/1.00 inference(instr,[status(thm)],['0.51.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.51.2.2',plain,
% 0.60/1.00 ( multiply(X2,multiply(inverse(c3),c3)) = multiply(X1,multiply(inverse(X1),X2)) ),
% 0.60/1.00 inference(instl,[status(thm)],['0.51.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.52.0.0',plain,
% 0.60/1.00 ( multiply(inverse(inverse(X1)),multiply(inverse(X2),X2)) = X1 ),
% 0.60/1.00 inference(interreduction_right,[status(thm)],['0.47.2.0'])).
% 0.60/1.00 cnf('0.52.1.0',plain,
% 0.60/1.00 ( multiply(inverse(inverse(X1)),multiply(inverse(X2),X2)) = X1 ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.52.0.0']),
% 0.60/1.00 [weight('<89,47,51,[0,0,0,0]>')]).
% 0.60/1.00 cnf('0.52.1.1',plain,
% 0.60/1.00 ( multiply(c3,multiply(inverse(c3),inverse(inverse(X1)))) = X1 ),
% 0.60/1.00 inference(reduction,[status(thm)],['0.52.1.0','0.51.2.1',theory(equality)]),
% 0.60/1.00 [pos('L','L')]).
% 0.60/1.00 cnf('0.52.2.0',plain,
% 0.60/1.00 ( multiply(c3,multiply(inverse(c3),inverse(inverse(X1)))) = X1 ),
% 0.60/1.00 inference(orient,[status(thm)],['0.52.1.1',theory(equality)]),
% 0.60/1.00 [u,rule_33]).
% 0.60/1.00 cnf('0.55.0.0',plain,
% 0.60/1.00 ( X1 = inverse(inverse(multiply(X2,multiply(inverse(X2),X1)))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.34.2.0','0.51.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.1.1','L')]).
% 0.60/1.00 cnf('0.55.1.0',plain,
% 0.60/1.00 ( X1 = inverse(inverse(multiply(X2,multiply(inverse(X2),X1)))) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.55.0.0']),
% 0.60/1.00 [weight('<89,51,34,[0,0,0,2]>')]).
% 0.60/1.00 cnf('0.55.2.0',plain,
% 0.60/1.00 ( inverse(inverse(multiply(X1,multiply(inverse(X1),X2)))) = X2 ),
% 0.60/1.00 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 0.60/1.00 [x,rule_36]).
% 0.60/1.00 cnf('0.58.0.0',plain,
% 0.60/1.00 ( inverse(multiply(X1,multiply(inverse(X1),X2))) = multiply(c3,multiply(inverse(c3),inverse(X2))) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.52.2.0','0.55.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.2.2.1','L')]).
% 0.60/1.00 cnf('0.58.1.0',plain,
% 0.60/1.00 ( inverse(multiply(X1,multiply(inverse(X1),X2))) = multiply(c3,multiply(inverse(c3),inverse(X2))) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.58.0.0']),
% 0.60/1.00 [weight('<119,55,52,[0,0,0,6]>')]).
% 0.60/1.00 cnf('0.58.2.0',plain,
% 0.60/1.00 ( inverse(multiply(X1,multiply(inverse(X1),X2))) = multiply(c3,multiply(inverse(c3),inverse(X2))) ),
% 0.60/1.00 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 0.60/1.00 [u,rule_39]).
% 0.60/1.00 cnf('0.59.0.0',plain,
% 0.60/1.00 ( multiply(X1,multiply(inverse(X1),X2)) = multiply(X3,multiply(inverse(X3),X2)) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.51.2.0','0.51.2.0',theory(equality)]),
% 0.60/1.00 [pos('L','L')]).
% 0.60/1.00 cnf('0.59.1.0',plain,
% 0.60/1.00 ( multiply(X1,multiply(inverse(X1),X2)) = multiply(X3,multiply(inverse(X3),X2)) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.59.0.0']),
% 0.60/1.00 [weight('<168,51,51,[1,0,0,0]>')]).
% 0.60/1.00 cnf('0.59.2.0',plain,
% 0.60/1.00 ( multiply(X1,multiply(inverse(X1),X2)) = multiply(X3,multiply(inverse(X3),X2)) ),
% 0.60/1.00 inference(activate,[status(thm)],['0.59.1.0']),
% 0.60/1.00 [equation_20]).
% 0.60/1.00 cnf('0.59.2.1',plain,
% 0.60/1.00 ( multiply(X1,multiply(inverse(X1),X2)) = multiply(c3,multiply(inverse(c3),X2)) ),
% 0.60/1.00 inference(instr,[status(thm)],['0.59.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.59.2.2',plain,
% 0.60/1.00 ( multiply(c3,multiply(inverse(c3),X2)) = multiply(X1,multiply(inverse(X1),X2)) ),
% 0.60/1.00 inference(instl,[status(thm)],['0.59.2.0',theory(equality)])).
% 0.60/1.00 cnf('0.60.0.0',plain,
% 0.60/1.00 ( multiply(X1,multiply(inverse(X1),inverse(inverse(X2)))) = X2 ),
% 0.60/1.00 inference(cp,[status(thm)],['0.59.2.0','0.52.2.0',theory(equality)]),
% 0.60/1.00 [pos('L','L')]).
% 0.60/1.00 cnf('0.60.1.0',plain,
% 0.60/1.00 ( multiply(X1,multiply(inverse(X1),inverse(inverse(X2)))) = X2 ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.60.0.0']),
% 0.60/1.00 [weight('<89,59,52,[1,0,0,0]>')]).
% 0.60/1.00 cnf('0.60.2.0',plain,
% 0.60/1.00 ( multiply(X1,multiply(inverse(X1),inverse(inverse(X2)))) = X2 ),
% 0.60/1.00 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 0.60/1.00 [u,rule_40]).
% 0.60/1.00 cnf('0.62.0.0',plain,
% 0.60/1.00 ( multiply(inverse(multiply(inverse(X1),inverse(inverse(X2)))),X3) = inverse(multiply(inverse(multiply(X1,X3)),X2)) ),
% 0.60/1.00 inference(cp,[status(thm)],['0.48.2.0','0.60.2.0',theory(equality)]),
% 0.60/1.00 [pos('L.1.2','L')]).
% 0.60/1.00 cnf('0.62.1.0',plain,
% 0.60/1.00 ( multiply(inverse(multiply(inverse(X1),inverse(inverse(X2)))),X3) = inverse(multiply(inverse(multiply(X1,X3)),X2)) ),
% 0.60/1.00 inference(weigh,[status(thm)],['0.62.0.0']),
% 0.60/1.00 [weight('<169,60,48,[0,0,0,6]>')]).
% 0.60/1.00 cnf('0.62.2.0',plain,
% 0.60/1.00 ( multiply(inverse(multiply(inverse(X1),inverse(inverse(X2)))),X3) = inverse(multiply(inverse(multiply(X1,X3)),X2)) ),
% 0.60/1.00 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 0.60/1.00 [u,rule_42]).
% 0.60/1.00 cnf('0.63.0.0',plain,
% 0.60/1.00 ( multiply(X1,inverse(multiply(inverse(multiply(c3,multiply(X2,inverse(inverse(X3))))),multiply(c3,multiply(X2,X1))))) = X3 ),
% 0.60/1.00 inference(interreduction_right,[status(thm)],['0.46.2.0'])).
% 0.60/1.00 cnf('0.63.0.1',plain,
% 0.60/1.00 ( multiply(X1,multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(X3))))) = X3 ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.63.0.0','0.48.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.2','L')]).
% 0.60/1.01 cnf('0.63.1.0',plain,
% 0.60/1.01 ( multiply(X1,multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(X3))))) = X3 ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.63.0.1']),
% 0.60/1.01 [weight('<181,46,48,[0,0,0,0]>')]).
% 0.60/1.01 cnf('0.63.2.0',plain,
% 0.60/1.01 ( multiply(X1,multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(X3))))) = X3 ),
% 0.60/1.01 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 0.60/1.01 [u,rule_43]).
% 0.60/1.01 cnf('0.64.0.0',plain,
% 0.60/1.01 ( X1 = multiply(inverse(inverse(X2)),inverse(multiply(inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(X1))))),X2))) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.63.2.0','0.62.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.2','L')]).
% 0.60/1.01 cnf('0.64.0.1',plain,
% 0.60/1.01 ( X1 = multiply(inverse(inverse(X2)),inverse(multiply(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(X1))))),X2))) ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.64.0.0','0.58.2.0',theory(equality)]),
% 0.60/1.01 [pos('R.2.1.1','L')]).
% 0.60/1.01 cnf('0.64.0.2',plain,
% 0.60/1.01 ( X1 = multiply(inverse(inverse(X2)),inverse(multiply(inverse(X1),X2))) ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.64.0.1','0.60.2.0',theory(equality)]),
% 0.60/1.01 [pos('R.2.1.1','L')]).
% 0.60/1.01 cnf('0.64.1.0',plain,
% 0.60/1.01 ( X1 = multiply(inverse(inverse(X2)),inverse(multiply(inverse(X1),X2))) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.64.0.2']),
% 0.60/1.01 [weight('<109,63,62,[1,0,0,2]>')]).
% 0.60/1.01 cnf('0.64.2.0',plain,
% 0.60/1.01 ( multiply(inverse(inverse(X1)),inverse(multiply(inverse(X2),X1))) = X2 ),
% 0.60/1.01 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 0.60/1.01 [x,rule_44]).
% 0.60/1.01 cnf('0.65.0.0',plain,
% 0.60/1.01 ( multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(inverse(X1),X2))))) = inverse(multiply(inverse(X2),X1)) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.58.2.0','0.64.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.1.2','L')]).
% 0.60/1.01 cnf('0.65.0.1',plain,
% 0.60/1.01 ( multiply(inverse(X1),X2) = inverse(multiply(inverse(X2),X1)) ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.65.0.0','0.60.2.0',theory(equality)]),
% 0.60/1.01 [pos('L','L')]).
% 0.60/1.01 cnf('0.65.1.0',plain,
% 0.60/1.01 ( multiply(inverse(X1),X2) = inverse(multiply(inverse(X2),X1)) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.65.0.1']),
% 0.60/1.01 [weight('<59,64,58,[0,0,0,3]>')]).
% 0.60/1.01 cnf('0.65.2.0',plain,
% 0.60/1.01 ( inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1) ),
% 0.60/1.01 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 0.60/1.01 [x,rule_45]).
% 0.60/1.01 cnf('0.66.0.0',plain,
% 0.60/1.01 ( multiply(inverse(multiply(inverse(X1),X1)),X2) = inverse(multiply(X3,multiply(inverse(X3),inverse(X2)))) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.65.2.0','0.51.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.1','L')]).
% 0.60/1.01 cnf('0.66.0.1',plain,
% 0.60/1.01 ( multiply(multiply(inverse(X1),X1),X2) = inverse(multiply(X3,multiply(inverse(X3),inverse(X2)))) ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.66.0.0','0.65.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.1','L')]).
% 0.60/1.01 cnf('0.66.0.2',plain,
% 0.60/1.01 ( multiply(multiply(inverse(X1),X1),X2) = multiply(c3,multiply(inverse(c3),inverse(inverse(X2)))) ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.66.0.1','0.58.2.0',theory(equality)]),
% 0.60/1.01 [pos('R','L')]).
% 0.60/1.01 cnf('0.66.0.3',plain,
% 0.60/1.01 ( multiply(multiply(inverse(X1),X1),X2) = X2 ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.66.0.2','0.60.2.0',theory(equality)]),
% 0.60/1.01 [pos('R','L')]).
% 0.60/1.01 cnf('0.66.1.0',plain,
% 0.60/1.01 ( multiply(multiply(inverse(X1),X1),X2) = X2 ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.66.0.3']),
% 0.60/1.01 [weight('<55,65,51,[1,0,0,1]>')]).
% 0.60/1.01 cnf('0.66.2.0',plain,
% 0.60/1.01 ( multiply(multiply(inverse(X1),X1),X2) = X2 ),
% 0.60/1.01 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 0.60/1.01 [u,rule_46]).
% 0.60/1.01 cnf('0.67.0.0',plain,
% 0.60/1.01 ( multiply(inverse(multiply(inverse(X1),X1)),inverse(inverse(X2))) = X2 ),
% 0.60/1.01 inference(cp,[status(thm)],['0.66.2.0','0.60.2.0',theory(equality)]),
% 0.60/1.01 [pos('L','L')]).
% 0.60/1.01 cnf('0.67.0.1',plain,
% 0.60/1.01 ( multiply(multiply(inverse(X1),X1),inverse(inverse(X2))) = X2 ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.67.0.0','0.65.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.1','L')]).
% 0.60/1.01 cnf('0.67.0.2',plain,
% 0.60/1.01 ( inverse(inverse(X2)) = X2 ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.67.0.1','0.66.2.0',theory(equality)]),
% 0.60/1.01 [pos('L','L')]).
% 0.60/1.01 cnf('0.67.1.0',plain,
% 0.60/1.01 ( inverse(inverse(X2)) = X2 ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.67.0.2']),
% 0.60/1.01 [weight('<19,66,60,[1,0,0,0]>')]).
% 0.60/1.01 cnf('0.67.2.0',plain,
% 0.60/1.01 ( inverse(inverse(X1)) = X1 ),
% 0.60/1.01 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 0.60/1.01 [u,rule_47]).
% 0.60/1.01 cnf('0.68.0.0',plain,
% 0.60/1.01 ( multiply(X1,multiply(inverse(X1),inverse(inverse(X2)))) = X2 ),
% 0.60/1.01 inference(interreduction_right,[status(thm)],['0.60.2.0'])).
% 0.60/1.01 cnf('0.68.0.1',plain,
% 0.60/1.01 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.68.0.0','0.67.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.2.2','L')]).
% 0.60/1.01 cnf('0.68.1.0',plain,
% 0.60/1.01 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.68.0.1']),
% 0.60/1.01 [weight('<55,60,67,[0,0,0,0]>')]).
% 0.60/1.01 cnf('0.68.2.0',plain,
% 0.60/1.01 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.60/1.01 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 0.60/1.01 [u,rule_48]).
% 0.60/1.01 cnf('0.69.0.0',plain,
% 0.60/1.01 ( multiply(X1,multiply(inverse(X2),X2)) = multiply(X3,multiply(inverse(X3),X1)) ),
% 0.60/1.01 inference(interreduction_right,[status(thm)],['0.51.2.0'])).
% 0.60/1.01 cnf('0.69.0.1',plain,
% 0.60/1.01 ( multiply(X1,multiply(inverse(X2),X2)) = X1 ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.69.0.0','0.68.2.0',theory(equality)]),
% 0.60/1.01 [pos('R','L')]).
% 0.60/1.01 cnf('0.69.1.0',plain,
% 0.60/1.01 ( multiply(X1,multiply(inverse(X2),X2)) = X1 ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.69.0.1']),
% 0.60/1.01 [weight('<55,51,68,[0,0,0,0]>')]).
% 0.60/1.01 cnf('0.69.2.0',plain,
% 0.60/1.01 ( multiply(X1,multiply(inverse(X2),X2)) = X1 ),
% 0.60/1.01 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 0.60/1.01 [u,rule_49]).
% 0.60/1.01 cnf('0.70.0.0',plain,
% 0.60/1.01 ( X1 = multiply(multiply(X2,inverse(X2)),X1) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.66.2.0','0.67.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.1.1','L')]).
% 0.60/1.01 cnf('0.70.1.0',plain,
% 0.60/1.01 ( X1 = multiply(multiply(X2,inverse(X2)),X1) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.70.0.0']),
% 0.60/1.01 [weight('<55,67,66,[0,0,0,2]>')]).
% 0.60/1.01 cnf('0.70.2.0',plain,
% 0.60/1.01 ( multiply(multiply(X1,inverse(X1)),X2) = X2 ),
% 0.60/1.01 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 0.60/1.01 [x,rule_50]).
% 0.60/1.01 cnf('0.71.0.0',plain,
% 0.60/1.01 ( X1 = multiply(inverse(X2),multiply(X2,X1)) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.68.2.0','0.67.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.2.1','L')]).
% 0.60/1.01 cnf('0.71.1.0',plain,
% 0.60/1.01 ( X1 = multiply(inverse(X2),multiply(X2,X1)) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.71.0.0']),
% 0.60/1.01 [weight('<55,68,67,[1,0,0,3]>')]).
% 0.60/1.01 cnf('0.71.2.0',plain,
% 0.60/1.01 ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 0.60/1.01 inference(orient,[status(thm)],['0.71.1.0',theory(equality)]),
% 0.60/1.01 [x,rule_51]).
% 0.60/1.01 cnf('0.72.0.0',plain,
% 0.60/1.01 ( X1 = multiply(X1,multiply(X2,inverse(X2))) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.69.2.0','0.67.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.2.1','L')]).
% 0.60/1.01 cnf('0.72.1.0',plain,
% 0.60/1.01 ( X1 = multiply(X1,multiply(X2,inverse(X2))) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.72.0.0']),
% 0.60/1.01 [weight('<55,69,67,[1,0,0,3]>')]).
% 0.60/1.01 cnf('0.72.2.0',plain,
% 0.60/1.01 ( multiply(X1,multiply(X2,inverse(X2))) = X1 ),
% 0.60/1.01 inference(orient,[status(thm)],['0.72.1.0',theory(equality)]),
% 0.60/1.01 [x,rule_52]).
% 0.60/1.01 cnf('0.73.0.0',plain,
% 0.60/1.01 ( multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.65.2.0','0.67.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.1.1','L')]).
% 0.60/1.01 cnf('0.73.1.0',plain,
% 0.60/1.01 ( multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.73.0.0']),
% 0.60/1.01 [weight('<59,67,65,[0,0,0,2]>')]).
% 0.60/1.01 cnf('0.73.2.0',plain,
% 0.60/1.01 ( multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)) ),
% 0.60/1.01 inference(orient,[status(thm)],['0.73.1.0',theory(equality)]),
% 0.60/1.01 [u,rule_53]).
% 0.60/1.01 cnf('0.74.0.0',plain,
% 0.60/1.01 ( inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.73.2.0','0.67.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.1','L')]).
% 0.60/1.01 cnf('0.74.1.0',plain,
% 0.60/1.01 ( inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.74.0.0']),
% 0.60/1.01 [weight('<59,73,67,[1,0,0,1]>')]).
% 0.60/1.01 cnf('0.74.2.0',plain,
% 0.60/1.01 ( inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)) ),
% 0.60/1.01 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 0.60/1.01 [u,rule_54]).
% 0.60/1.01 cnf('0.80.0.0',plain,
% 0.60/1.01 ( multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.68.2.0','0.72.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.2','L')]).
% 0.60/1.01 cnf('0.80.1.0',plain,
% 0.60/1.01 ( multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.80.0.0']),
% 0.60/1.01 [weight('<80,72,68,[0,0,0,2]>')]).
% 0.60/1.01 cnf('0.80.2.0',plain,
% 0.60/1.01 ( multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)) ),
% 0.60/1.01 inference(activate,[status(thm)],['0.80.1.0']),
% 0.60/1.01 [equation_22]).
% 0.60/1.01 cnf('0.80.2.1',plain,
% 0.60/1.01 ( multiply(X1,inverse(X1)) = multiply(c3,inverse(c3)) ),
% 0.60/1.01 inference(instr,[status(thm)],['0.80.2.0',theory(equality)])).
% 0.60/1.01 cnf('0.80.2.2',plain,
% 0.60/1.01 ( multiply(c3,inverse(c3)) = multiply(X1,inverse(X1)) ),
% 0.60/1.01 inference(instl,[status(thm)],['0.80.2.0',theory(equality)])).
% 0.60/1.01 cnf('0.81.0.0',plain,
% 0.60/1.01 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(multiply(X4,inverse(X4))),multiply(X2,X3)) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.18.2.0','0.80.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.1.1','L')]).
% 0.60/1.01 cnf('0.81.0.1',plain,
% 0.60/1.01 ( multiply(multiply(X2,inverse(X1)),multiply(X1,X3)) = multiply(inverse(multiply(X4,inverse(X4))),multiply(X2,X3)) ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.81.0.0','0.74.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.1','L')]).
% 0.60/1.01 cnf('0.81.0.2',plain,
% 0.60/1.01 ( multiply(multiply(X2,inverse(X1)),multiply(X1,X3)) = multiply(multiply(X4,inverse(X4)),multiply(X2,X3)) ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.81.0.1','0.74.2.0',theory(equality)]),
% 0.60/1.01 [pos('R.1','L')]).
% 0.60/1.01 cnf('0.81.0.3',plain,
% 0.60/1.01 ( multiply(multiply(X2,inverse(X1)),multiply(X1,X3)) = multiply(X2,X3) ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.81.0.2','0.70.2.0',theory(equality)]),
% 0.60/1.01 [pos('R','L')]).
% 0.60/1.01 cnf('0.81.1.0',plain,
% 0.60/1.01 ( multiply(multiply(X2,inverse(X1)),multiply(X1,X3)) = multiply(X2,X3) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.81.0.3']),
% 0.60/1.01 [weight('<107,80,18,[0,0,0,2]>')]).
% 0.60/1.01 cnf('0.81.2.0',plain,
% 0.60/1.01 ( multiply(multiply(X1,inverse(X2)),multiply(X2,X3)) = multiply(X1,X3) ),
% 0.60/1.01 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 0.60/1.01 [u,rule_59]).
% 0.60/1.01 cnf('0.82.0.0',plain,
% 0.60/1.01 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,inverse(inverse(X2))),X3) ),
% 0.60/1.01 inference(cp,[status(thm)],['0.81.2.0','0.71.2.0',theory(equality)]),
% 0.60/1.01 [pos('L.2','L')]).
% 0.60/1.01 cnf('0.82.0.1',plain,
% 0.60/1.01 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.60/1.01 inference(reduction,[status(thm)],['0.82.0.0','0.67.2.0',theory(equality)]),
% 0.60/1.01 [pos('R.1.2','L')]).
% 0.60/1.01 cnf('0.82.1.0',plain,
% 0.60/1.01 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.60/1.01 inference(weigh,[status(thm)],['0.82.0.1']),
% 0.60/1.01 [weight('<65,81,71,[1,0,0,5]>')]).
% 0.60/1.01 cnf('0.82.2.0',plain,
% 0.60/1.01 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.60/1.01 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 0.60/1.01 [x,rule_60]).
% 0.60/1.01 cnf('1.0.0.0',conjecture,
% 0.60/1.01 ( multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.60/1.01 file('/tmp/WALDMEISTER_6086_n022',conjecture_1)).
% 0.60/1.01 cnf('1.0.0.1',plain,
% 0.60/1.01 ( multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)) ),
% 0.60/1.01 inference(reduction,[status(thm)],['1.0.0.0','0.82.2.0',theory(equality)]),
% 0.60/1.01 [pos('L','L')]).
% 0.60/1.01 cnf('1.0.0.2',plain,
% 0.60/1.01 ( $true ),
% 0.60/1.01 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.60/1.01 [conjecture_1]).
% 0.60/1.01
% 0.60/1.01 Proved Goals:
% 0.60/1.01 No. 1: multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) joined, current: multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3))
% 0.60/1.01 1 goal was specified, which was proved.
% 0.60/1.01 % SZS output end CNFRefutation
% 0.60/1.01 #END OF PROOF
% 0.60/1.01
% 0.60/1.01 Problem WALDMEISTER_6086_n022
% 0.60/1.01 CPs.gen 3811
% 0.60/1.01 CPs.reexp 0
% 0.60/1.01 Select 467
% 0.60/1.01 R 60
% 0.60/1.01 E 22
% 0.60/1.01 vsize 6.4M
% 0.60/1.01 rss 3.8M
% 0.60/1.01 process.time 0.041s
% 0.60/1.01 wallclock.time 0.041s
% 0.60/1.01 status S
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 Waldmeister states: Goal proved.
% 0.60/1.01 % SZS status Unsatisfiable
%------------------------------------------------------------------------------