TSTP Solution File: GRP423-1 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP423-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n024.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 12:26:12 EDT 2022
% Result : Unsatisfiable 0.62s 1.02s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP423-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 13:34:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.62/0.98 ********************************************************************************
% 0.62/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.62/0.98 * |/ | \/ | *
% 0.62/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.62/0.98 * A. Jaeger and B. Loechner | | *
% 0.62/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.62/0.98 ********************************************************************************
% 0.62/0.98
% 0.62/0.98
% 0.62/0.98 Goals:
% 0.62/0.98 ------
% 0.62/0.98
% 0.62/0.98 ( 1) multiply(multiply(a3,b3),c3) ?=? multiply(a3,multiply(b3,c3))
% 0.62/0.98
% 0.62/0.98 Detected structure: Orkus
% 0.62/0.98 ********************************************************************************
% 0.62/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.62/0.98 ********************************************************************************
% 0.62/0.98
% 0.62/1.02 joined goal: 1 multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) to multiply(a3,multiply(b3,c3))
% 0.62/1.02 goal joined
% 0.62/1.02 % SZS status Unsatisfiable
% 0.62/1.02 #START OF PROOF
% 0.62/1.02 % SZS output start CNFRefutation
% 0.62/1.02 cnf('0.1.0.0',axiom,
% 0.62/1.02 ( X1 = inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X2,X3))) ),
% 0.62/1.02 file('/tmp/WALDMEISTER_17599_n024')).
% 0.62/1.02 cnf('0.1.1.0',plain,
% 0.62/1.02 ( X1 = inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X2,X3))) ),
% 0.62/1.02 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.62/1.02 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.62/1.02 cnf('0.1.2.0',plain,
% 0.62/1.02 ( inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X1,X3))) = X2 ),
% 0.62/1.02 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.62/1.02 [x,rule_1]).
% 0.62/1.02 cnf('0.2.0.0',plain,
% 0.62/1.02 ( multiply(inverse(X1),inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))) = inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X1))) ),
% 0.62/1.02 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.62/1.02 [pos('L.1.1.1.2','L')]).
% 0.62/1.02 cnf('0.2.1.0',plain,
% 0.62/1.02 ( multiply(inverse(X1),inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))) = inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X1))) ),
% 0.62/1.02 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.62/1.02 [weight('<?,1,1,[0,0,0,5]>')]).
% 0.62/1.02 cnf('0.2.2.0',plain,
% 0.62/1.02 ( multiply(inverse(X1),inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))) = inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X1))) ),
% 0.62/1.02 inference(activate,[status(thm)],['0.2.1.0']),
% 0.62/1.02 [equation_1]).
% 0.62/1.02 cnf('0.2.2.1',plain,
% 0.62/1.02 ( multiply(inverse(X1),inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))) = inverse(multiply(inverse(multiply(c3,X2)),multiply(c3,X1))) ),
% 0.62/1.02 inference(instr,[status(thm)],['0.2.2.0',theory(equality)])).
% 0.62/1.02 cnf('0.3.0.0',plain,
% 0.62/1.02 ( inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))) = inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,X3))) ),
% 0.62/1.02 inference(cp,[status(thm)],['0.2.2.0','0.2.2.0',theory(equality)]),
% 0.62/1.02 [pos('L','L')]).
% 0.62/1.02 cnf('0.3.1.0',plain,
% 0.62/1.02 ( inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))) = inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,X3))) ),
% 0.62/1.02 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.62/1.02 [weight('<360,2,2,[1,0,0,0]>')]).
% 0.62/1.02 cnf('0.3.2.0',plain,
% 0.62/1.02 ( inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))) = inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,X3))) ),
% 0.62/1.02 inference(activate,[status(thm)],['0.3.1.0']),
% 0.62/1.02 [equation_2]).
% 0.62/1.02 cnf('0.3.2.1',plain,
% 0.62/1.02 ( inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))) = inverse(multiply(inverse(multiply(c3,X2)),multiply(c3,X3))) ),
% 0.62/1.02 inference(instr,[status(thm)],['0.3.2.0',theory(equality)])).
% 0.62/1.02 cnf('0.3.2.2',plain,
% 0.62/1.02 ( inverse(multiply(inverse(multiply(c3,X2)),multiply(c3,X3))) = inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))) ),
% 0.62/1.02 inference(instl,[status(thm)],['0.3.2.0',theory(equality)])).
% 0.62/1.02 cnf('0.4.0.0',plain,
% 0.62/1.02 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X5,X2)),multiply(X5,X3))),multiply(inverse(X6),inverse(multiply(inverse(X6),X6))))))),multiply(X4,X6))) ),
% 0.62/1.02 inference(cp,[status(thm)],['0.1.2.0','0.3.2.0',theory(equality)]),
% 0.62/1.02 [pos('L.1.1.1.2.1.1','L')]).
% 0.62/1.02 cnf('0.4.0.1',plain,
% 0.62/1.02 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(X5,X2)),multiply(X5,X3)) ),
% 0.62/1.02 inference(reduction,[status(thm)],['0.4.0.0','0.1.2.0',theory(equality)]),
% 0.62/1.02 [pos('R','L')]).
% 0.62/1.02 cnf('0.4.1.0',plain,
% 0.62/1.02 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(X5,X2)),multiply(X5,X3)) ),
% 0.62/1.02 inference(weigh,[status(thm)],['0.4.0.1']),
% 0.62/1.02 [weight('<288,3,1,[0,0,0,7]>')]).
% 0.62/1.02 cnf('0.4.2.0',plain,
% 0.62/1.02 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)) ),
% 0.62/1.02 inference(activate,[status(thm)],['0.4.1.0']),
% 0.62/1.02 [equation_3]).
% 0.62/1.02 cnf('0.4.2.1',plain,
% 0.62/1.02 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(c3,X2)),multiply(c3,X3)) ),
% 0.62/1.02 inference(instr,[status(thm)],['0.4.2.0',theory(equality)])).
% 0.62/1.02 cnf('0.4.2.2',plain,
% 0.62/1.02 ( multiply(inverse(multiply(c3,X2)),multiply(c3,X3)) = multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) ),
% 0.62/1.02 inference(instl,[status(thm)],['0.4.2.0',theory(equality)])).
% 0.62/1.02 cnf('0.5.0.0',plain,
% 0.62/1.02 ( X1 = inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X3)))),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))) ),
% 0.62/1.02 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 0.62/1.02 [pos('L.1.1.1','L')]).
% 0.62/1.02 cnf('0.5.1.0',plain,
% 0.62/1.02 ( X1 = inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X3)))),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))) ),
% 0.62/1.02 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.62/1.02 [weight('<461,2,1,[0,0,0,3]>')]).
% 0.62/1.02 cnf('0.5.2.0',plain,
% 0.62/1.02 ( inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3)))),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))) = X2 ),
% 0.62/1.02 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.62/1.02 [x,rule_2]).
% 0.62/1.02 cnf('0.6.0.0',plain,
% 0.62/1.02 ( multiply(inverse(X1),X2) = inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,inverse(multiply(inverse(X1),X1))))))),multiply(X3,X1))) ),
% 0.62/1.02 inference(cp,[status(thm)],['0.1.2.0','0.4.2.0',theory(equality)]),
% 0.62/1.02 [pos('L.1.1.1.2.1','L')]).
% 0.62/1.02 cnf('0.6.1.0',plain,
% 0.62/1.02 ( multiply(inverse(X1),X2) = inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,inverse(multiply(inverse(X1),X1))))))),multiply(X3,X1))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.62/1.03 [weight('<571,4,1,[0,0,0,6]>')]).
% 0.62/1.03 cnf('0.6.2.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(inverse(X4),X4))))))),multiply(X1,X4))) = multiply(inverse(X4),X3) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_3]).
% 0.62/1.03 cnf('0.7.0.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,X4)) = multiply(inverse(multiply(inverse(multiply(X5,X6)),multiply(X5,X3))),multiply(inverse(multiply(X2,X6)),X4)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.4.2.0','0.4.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1','L')]).
% 0.62/1.03 cnf('0.7.1.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,X4)) = multiply(inverse(multiply(inverse(multiply(X5,X6)),multiply(X5,X3))),multiply(inverse(multiply(X2,X6)),X4)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.62/1.03 [weight('<728,4,4,[0,0,0,2]>')]).
% 0.62/1.03 cnf('0.7.2.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,X4)) = multiply(inverse(multiply(inverse(multiply(X5,X6)),multiply(X5,X3))),multiply(inverse(multiply(X2,X6)),X4)) ),
% 0.62/1.03 inference(activate,[status(thm)],['0.7.1.0']),
% 0.62/1.03 [equation_4]).
% 0.62/1.03 cnf('0.7.2.1',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,X4)) = multiply(inverse(multiply(inverse(multiply(c3,c3)),multiply(c3,X3))),multiply(inverse(multiply(X2,c3)),X4)) ),
% 0.62/1.03 inference(instr,[status(thm)],['0.7.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.7.2.2',plain,
% 0.62/1.03 ( multiply(inverse(multiply(c3,multiply(X4,X3))),multiply(c3,X5)) = multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))),multiply(inverse(multiply(X4,X2)),X5)) ),
% 0.62/1.03 inference(instl,[status(thm)],['0.7.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.8.0.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X3,X4))) = multiply(inverse(multiply(inverse(multiply(X3,X5)),X2)),multiply(inverse(multiply(X6,X5)),multiply(X6,X4))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.4.2.0','0.4.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.2','L')]).
% 0.62/1.03 cnf('0.8.1.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X3,X4))) = multiply(inverse(multiply(inverse(multiply(X3,X5)),X2)),multiply(inverse(multiply(X6,X5)),multiply(X6,X4))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.62/1.03 [weight('<728,4,4,[0,0,0,5]>')]).
% 0.62/1.03 cnf('0.8.2.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X3,X4))) = multiply(inverse(multiply(inverse(multiply(X3,X5)),X2)),multiply(inverse(multiply(X6,X5)),multiply(X6,X4))) ),
% 0.62/1.03 inference(activate,[status(thm)],['0.8.1.0']),
% 0.62/1.03 [equation_5]).
% 0.62/1.03 cnf('0.8.2.1',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X3,X4))) = multiply(inverse(multiply(inverse(multiply(X3,c3)),X2)),multiply(inverse(multiply(c3,c3)),multiply(c3,X4))) ),
% 0.62/1.03 inference(instr,[status(thm)],['0.8.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.8.2.2',plain,
% 0.62/1.03 ( multiply(inverse(multiply(c3,X3)),multiply(c3,multiply(X1,X5))) = multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X4,X2)),multiply(X4,X5))) ),
% 0.62/1.03 inference(instl,[status(thm)],['0.8.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.9.0.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,X4))) = multiply(inverse(multiply(X5,multiply(X6,X3))),multiply(X5,multiply(X6,X4))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.8.2.0','0.7.2.0',theory(equality)]),
% 0.62/1.03 [pos('R','R')]).
% 0.62/1.03 cnf('0.9.1.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,X4))) = multiply(inverse(multiply(X5,multiply(X6,X3))),multiply(X5,multiply(X6,X4))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.62/1.03 [weight('<624,8,7,[1,1,1,0]>')]).
% 0.62/1.03 cnf('0.9.2.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,X4))) = multiply(inverse(multiply(X5,multiply(X6,X3))),multiply(X5,multiply(X6,X4))) ),
% 0.62/1.03 inference(activate,[status(thm)],['0.9.1.0']),
% 0.62/1.03 [equation_6]).
% 0.62/1.03 cnf('0.9.2.1',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,X4))) = multiply(inverse(multiply(c3,multiply(c3,X3))),multiply(c3,multiply(c3,X4))) ),
% 0.62/1.03 inference(instr,[status(thm)],['0.9.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.9.2.2',plain,
% 0.62/1.03 ( multiply(inverse(multiply(c3,multiply(c3,X3))),multiply(c3,multiply(c3,X4))) = multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,X4))) ),
% 0.62/1.03 inference(instl,[status(thm)],['0.9.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.12.0.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,X4)) = multiply(X5,multiply(inverse(multiply(X2,inverse(multiply(inverse(X5),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),X4)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1','L')]).
% 0.62/1.03 cnf('0.12.1.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,X4)) = multiply(X5,multiply(inverse(multiply(X2,inverse(multiply(inverse(X5),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),X4)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.62/1.03 [weight('<899,4,1,[1,0,0,1]>')]).
% 0.62/1.03 cnf('0.12.2.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,X4)) = multiply(X5,multiply(inverse(multiply(X2,inverse(multiply(inverse(X5),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),X4)) ),
% 0.62/1.03 inference(activate,[status(thm)],['0.12.1.0']),
% 0.62/1.03 [equation_7]).
% 0.62/1.03 cnf('0.12.2.1',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,X4)) = multiply(c3,multiply(inverse(multiply(X2,inverse(multiply(inverse(c3),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),X4)) ),
% 0.62/1.03 inference(instr,[status(thm)],['0.12.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.12.2.2',plain,
% 0.62/1.03 ( multiply(inverse(multiply(c3,multiply(X2,X3))),multiply(c3,X4)) = multiply(X1,multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),X4)) ),
% 0.62/1.03 inference(instl,[status(thm)],['0.12.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.13.0.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(X3,multiply(X4,X5))),multiply(X3,inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(inverse(X1)),multiply(inverse(X5),inverse(multiply(inverse(X5),X5))))))),multiply(X4,inverse(multiply(inverse(inverse(X1)),multiply(inverse(X5),inverse(multiply(inverse(X5),X5))))))))))))),multiply(X2,multiply(X4,inverse(multiply(inverse(inverse(X1)),multiply(inverse(X5),inverse(multiply(inverse(X5),X5))))))))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.1.2.0','0.12.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1.1.2.1','R')]).
% 0.62/1.03 cnf('0.13.0.1',plain,
% 0.62/1.03 ( X1 = multiply(inverse(multiply(X4,inverse(multiply(inverse(inverse(X1)),multiply(inverse(X5),inverse(multiply(inverse(X5),X5))))))),multiply(X4,X5)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.13.0.0','0.6.2.0',theory(equality)]),
% 0.62/1.03 [pos('R','L')]).
% 0.62/1.03 cnf('0.13.1.0',plain,
% 0.62/1.03 ( X1 = multiply(inverse(multiply(X4,inverse(multiply(inverse(inverse(X1)),multiply(inverse(X5),inverse(multiply(inverse(X5),X5))))))),multiply(X4,X5)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.13.0.1']),
% 0.62/1.03 [weight('<461,12,1,[0,1,0,6]>')]).
% 0.62/1.03 cnf('0.13.2.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X1,X3)) = X2 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_6]).
% 0.62/1.03 cnf('0.14.0.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,X3))) = multiply(inverse(X4),X4) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.12.2.0','0.13.2.0',theory(equality)]),
% 0.62/1.03 [pos('R.2','L')]).
% 0.62/1.03 cnf('0.14.1.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,X3))) = multiply(inverse(X4),X4) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.62/1.03 [weight('<288,13,12,[0,0,1,2]>')]).
% 0.62/1.03 cnf('0.14.2.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,X3))) = multiply(inverse(X4),X4) ),
% 0.62/1.03 inference(activate,[status(thm)],['0.14.1.0']),
% 0.62/1.03 [equation_8]).
% 0.62/1.03 cnf('0.14.2.1',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,X3))) = multiply(inverse(c3),c3) ),
% 0.62/1.03 inference(instr,[status(thm)],['0.14.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.14.2.2',plain,
% 0.62/1.03 ( multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,multiply(c3,c3))) = multiply(inverse(X1),X1) ),
% 0.62/1.03 inference(instl,[status(thm)],['0.14.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.15.0.0',plain,
% 0.62/1.03 ( multiply(inverse(X1),X1) = multiply(inverse(X2),multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X2)),multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X3,X4))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.14.2.0','0.13.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1','L')]).
% 0.62/1.03 cnf('0.15.0.1',plain,
% 0.62/1.03 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.15.0.0','0.13.2.0',theory(equality)]),
% 0.62/1.03 [pos('R.2','L')]).
% 0.62/1.03 cnf('0.15.1.0',plain,
% 0.62/1.03 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.15.0.1']),
% 0.62/1.03 [weight('<80,14,13,[1,0,0,2]>')]).
% 0.62/1.03 cnf('0.15.2.0',plain,
% 0.62/1.03 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 0.62/1.03 inference(activate,[status(thm)],['0.15.1.0']),
% 0.62/1.03 [equation_9]).
% 0.62/1.03 cnf('0.15.2.1',plain,
% 0.62/1.03 ( multiply(inverse(X1),X1) = multiply(inverse(c3),c3) ),
% 0.62/1.03 inference(instr,[status(thm)],['0.15.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.15.2.2',plain,
% 0.62/1.03 ( multiply(inverse(c3),c3) = multiply(inverse(X1),X1) ),
% 0.62/1.03 inference(instl,[status(thm)],['0.15.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.16.0.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),multiply(inverse(X1),inverse(multiply(inverse(X1),X1))))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.5.2.0','0.15.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1.1.1','L')]).
% 0.62/1.03 cnf('0.16.1.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),multiply(inverse(X1),inverse(multiply(inverse(X1),X1))))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.62/1.03 [weight('<305,15,5,[0,0,0,4]>')]).
% 0.62/1.03 cnf('0.16.2.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))) = X2 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_7]).
% 0.62/1.03 cnf('0.17.0.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),multiply(inverse(X1),inverse(multiply(inverse(X3),X3))))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.16.2.0','0.15.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.2.2.1','L')]).
% 0.62/1.03 cnf('0.17.1.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),multiply(inverse(X1),inverse(multiply(inverse(X3),X3))))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.62/1.03 [weight('<305,16,15,[1,0,0,12]>')]).
% 0.62/1.03 cnf('0.17.2.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),multiply(inverse(X2),inverse(multiply(inverse(X3),X3))))) = X2 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_8]).
% 0.62/1.03 cnf('0.18.0.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(X1),X1)) = inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),multiply(inverse(X3),X3))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.17.2.0','0.15.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.2','L')]).
% 0.62/1.03 cnf('0.18.1.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(X1),X1)) = inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),multiply(inverse(X3),X3))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.62/1.03 [weight('<323,17,15,[1,0,0,8]>')]).
% 0.62/1.03 cnf('0.18.2.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(X1),X1)) = inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),multiply(inverse(X3),X3))) ),
% 0.62/1.03 inference(activate,[status(thm)],['0.18.1.0']),
% 0.62/1.03 [equation_10]).
% 0.62/1.03 cnf('0.18.2.1',plain,
% 0.62/1.03 ( inverse(multiply(inverse(X1),X1)) = inverse(multiply(inverse(inverse(multiply(inverse(c3),c3))),multiply(inverse(c3),c3))) ),
% 0.62/1.03 inference(instr,[status(thm)],['0.18.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.18.2.2',plain,
% 0.62/1.03 ( inverse(multiply(inverse(c3),c3)) = inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),multiply(inverse(X2),X2))) ),
% 0.62/1.03 inference(instl,[status(thm)],['0.18.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.19.0.0',plain,
% 0.62/1.03 ( multiply(inverse(X1),X1) = inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),multiply(inverse(X4),X4))),multiply(inverse(X5),inverse(multiply(inverse(X5),X5))))))),multiply(X2,X5))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.1.2.0','0.18.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1.1.2.1.1','L')]).
% 0.62/1.03 cnf('0.19.0.1',plain,
% 0.62/1.03 ( multiply(inverse(X1),X1) = multiply(inverse(inverse(multiply(inverse(X3),X3))),multiply(inverse(X4),X4)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.19.0.0','0.1.2.0',theory(equality)]),
% 0.62/1.03 [pos('R','L')]).
% 0.62/1.03 cnf('0.19.1.0',plain,
% 0.62/1.03 ( multiply(inverse(X1),X1) = multiply(inverse(inverse(multiply(inverse(X3),X3))),multiply(inverse(X4),X4)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.19.0.1']),
% 0.62/1.03 [weight('<255,18,1,[0,0,0,7]>')]).
% 0.62/1.03 cnf('0.19.2.0',plain,
% 0.62/1.03 ( multiply(inverse(X1),X1) = multiply(inverse(inverse(multiply(inverse(X2),X2))),multiply(inverse(X3),X3)) ),
% 0.62/1.03 inference(activate,[status(thm)],['0.19.1.0']),
% 0.62/1.03 [equation_11]).
% 0.62/1.03 cnf('0.19.2.1',plain,
% 0.62/1.03 ( multiply(inverse(X1),X1) = multiply(inverse(inverse(multiply(inverse(c3),c3))),multiply(inverse(c3),c3)) ),
% 0.62/1.03 inference(instr,[status(thm)],['0.19.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.19.2.2',plain,
% 0.62/1.03 ( multiply(inverse(c3),c3) = multiply(inverse(inverse(multiply(inverse(X1),X1))),multiply(inverse(X2),X2)) ),
% 0.62/1.03 inference(instl,[status(thm)],['0.19.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.22.0.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),multiply(inverse(X3),inverse(multiply(inverse(X4),X4))))))),multiply(X2,X3))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.1.2.0','0.15.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1.1.2.1.2.2.1','L')]).
% 0.62/1.03 cnf('0.22.1.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),multiply(inverse(X3),inverse(multiply(inverse(X4),X4))))))),multiply(X2,X3))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.62/1.03 [weight('<461,15,1,[0,0,0,13]>')]).
% 0.62/1.03 cnf('0.22.2.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X3),inverse(multiply(inverse(X4),X4))))))),multiply(X1,X3))) = X2 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_9]).
% 0.62/1.03 cnf('0.24.0.0',plain,
% 0.62/1.03 ( X1 = multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(X1)),multiply(inverse(X3),inverse(multiply(inverse(X4),X4))))))),multiply(X2,X3)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.13.2.0','0.15.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1.2.1.2.2.1','L')]).
% 0.62/1.03 cnf('0.24.1.0',plain,
% 0.62/1.03 ( X1 = multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(X1)),multiply(inverse(X3),inverse(multiply(inverse(X4),X4))))))),multiply(X2,X3)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.62/1.03 [weight('<461,15,13,[0,0,0,13]>')]).
% 0.62/1.03 cnf('0.24.2.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),multiply(inverse(X3),inverse(multiply(inverse(X4),X4))))))),multiply(X1,X3)) = X2 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_11]).
% 0.62/1.03 cnf('0.25.0.0',plain,
% 0.62/1.03 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))),multiply(X2,inverse(multiply(inverse(X4),X4)))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.24.2.0','0.19.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1.2.1','R')]).
% 0.62/1.03 cnf('0.25.1.0',plain,
% 0.62/1.03 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))),multiply(X2,inverse(multiply(inverse(X4),X4)))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.62/1.03 [weight('<440,24,19,[1,0,1,5]>')]).
% 0.62/1.03 cnf('0.25.2.0',plain,
% 0.62/1.03 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))),multiply(X2,inverse(multiply(inverse(X4),X4)))) ),
% 0.62/1.03 inference(activate,[status(thm)],['0.25.1.0']),
% 0.62/1.03 [equation_14]).
% 0.62/1.03 cnf('0.25.2.1',plain,
% 0.62/1.03 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(c3,inverse(multiply(inverse(c3),c3)))),multiply(c3,inverse(multiply(inverse(c3),c3)))) ),
% 0.62/1.03 inference(instr,[status(thm)],['0.25.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.25.2.2',plain,
% 0.62/1.03 ( multiply(inverse(c3),c3) = multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(multiply(inverse(X3),X3)))) ),
% 0.62/1.03 inference(instl,[status(thm)],['0.25.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.26.0.0',plain,
% 0.62/1.03 ( multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X2),X2))) = inverse(multiply(inverse(X3),X3)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.22.2.0','0.25.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1','R')]).
% 0.62/1.03 cnf('0.26.1.0',plain,
% 0.62/1.03 ( multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X2),X2))) = inverse(multiply(inverse(X3),X3)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.62/1.03 [weight('<323,25,22,[0,1,0,1]>')]).
% 0.62/1.03 cnf('0.26.2.0',plain,
% 0.62/1.03 ( multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X2),X2))) = inverse(multiply(inverse(X3),X3)) ),
% 0.62/1.03 inference(activate,[status(thm)],['0.26.1.0']),
% 0.62/1.03 [equation_15]).
% 0.62/1.03 cnf('0.26.2.1',plain,
% 0.62/1.03 ( multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X2),X2))) = inverse(multiply(inverse(c3),c3)) ),
% 0.62/1.03 inference(instr,[status(thm)],['0.26.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.26.2.2',plain,
% 0.62/1.03 ( multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(multiply(inverse(c3),c3))) = inverse(multiply(inverse(X1),X1)) ),
% 0.62/1.03 inference(instl,[status(thm)],['0.26.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.27.0.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(X1),X1)) = multiply(inverse(X2),X2) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.26.2.0','0.15.2.0',theory(equality)]),
% 0.62/1.03 [pos('L','L')]).
% 0.62/1.03 cnf('0.27.1.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(X1),X1)) = multiply(inverse(X2),X2) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.62/1.03 [weight('<99,26,15,[1,0,0,0]>')]).
% 0.62/1.03 cnf('0.27.2.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(X1),X1)) = multiply(inverse(X2),X2) ),
% 0.62/1.03 inference(activate,[status(thm)],['0.27.1.0']),
% 0.62/1.03 [equation_16]).
% 0.62/1.03 cnf('0.27.2.1',plain,
% 0.62/1.03 ( inverse(multiply(inverse(X1),X1)) = multiply(inverse(c3),c3) ),
% 0.62/1.03 inference(instr,[status(thm)],['0.27.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.27.2.2',plain,
% 0.62/1.03 ( inverse(multiply(inverse(c3),c3)) = multiply(inverse(X1),X1) ),
% 0.62/1.03 inference(instl,[status(thm)],['0.27.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.29.0.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),multiply(inverse(X2),inverse(multiply(inverse(X3),X3))))) = X2 ),
% 0.62/1.03 inference(interreduction_right,[status(thm)],['0.17.2.0'])).
% 0.62/1.03 cnf('0.29.1.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),multiply(inverse(X2),inverse(multiply(inverse(X3),X3))))) = X2 ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.62/1.03 [weight('<305,17,27,[0,0,0,0]>')]).
% 0.62/1.03 cnf('0.29.1.1',plain,
% 0.62/1.03 ( inverse(multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(X2),inverse(multiply(inverse(X3),X3))))) = X2 ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.29.1.0','0.27.2.1',theory(equality)]),
% 0.62/1.03 [pos('L.1.1.1','L')]).
% 0.62/1.03 cnf('0.29.1.2',plain,
% 0.62/1.03 ( inverse(multiply(multiply(inverse(c3),c3),multiply(inverse(X2),inverse(multiply(inverse(X3),X3))))) = X2 ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.29.1.1','0.27.2.1',theory(equality)]),
% 0.62/1.03 [pos('L.1.1','L')]).
% 0.62/1.03 cnf('0.29.1.3',plain,
% 0.62/1.03 ( inverse(multiply(multiply(inverse(c3),c3),multiply(inverse(X2),multiply(inverse(c3),c3)))) = X2 ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.29.1.2','0.27.2.1',theory(equality)]),
% 0.62/1.03 [pos('L.1.2.2','L')]).
% 0.62/1.03 cnf('0.29.2.0',plain,
% 0.62/1.03 ( inverse(multiply(multiply(inverse(c3),c3),multiply(inverse(X1),multiply(inverse(c3),c3)))) = X1 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.29.1.3',theory(equality)]),
% 0.62/1.03 [u,rule_12]).
% 0.62/1.03 cnf('0.30.0.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(multiply(inverse(X2),X2),multiply(inverse(X1),multiply(inverse(c3),c3)))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.29.2.0','0.15.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1','L')]).
% 0.62/1.03 cnf('0.30.1.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(multiply(inverse(X2),X2),multiply(inverse(X1),multiply(inverse(c3),c3)))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.62/1.03 [weight('<209,29,15,[1,0,0,2]>')]).
% 0.62/1.03 cnf('0.30.2.0',plain,
% 0.62/1.03 ( inverse(multiply(multiply(inverse(X1),X1),multiply(inverse(X2),multiply(inverse(c3),c3)))) = X2 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_13]).
% 0.62/1.03 cnf('0.31.0.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(multiply(inverse(X2),X2),multiply(inverse(X1),multiply(inverse(X3),X3)))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.30.2.0','0.15.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.2.2','L')]).
% 0.62/1.03 cnf('0.31.1.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(multiply(inverse(X2),X2),multiply(inverse(X1),multiply(inverse(X3),X3)))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.31.0.0']),
% 0.62/1.03 [weight('<209,30,15,[1,0,0,9]>')]).
% 0.62/1.03 cnf('0.31.2.0',plain,
% 0.62/1.03 ( inverse(multiply(multiply(inverse(X1),X1),multiply(inverse(X2),multiply(inverse(X3),X3)))) = X2 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_14]).
% 0.62/1.03 cnf('0.34.0.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(multiply(inverse(X4),X4),multiply(inverse(X2),X3)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.4.2.0','0.27.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1','L')]).
% 0.62/1.03 cnf('0.34.1.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(multiply(inverse(X4),X4),multiply(inverse(X2),X3)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.62/1.03 [weight('<323,27,4,[0,0,0,1]>')]).
% 0.62/1.03 cnf('0.34.2.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(multiply(inverse(X4),X4),multiply(inverse(X2),X3)) ),
% 0.62/1.03 inference(activate,[status(thm)],['0.34.1.0']),
% 0.62/1.03 [equation_18]).
% 0.62/1.03 cnf('0.34.2.1',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(multiply(inverse(c3),c3),multiply(inverse(X2),X3)) ),
% 0.62/1.03 inference(instr,[status(thm)],['0.34.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.34.2.2',plain,
% 0.62/1.03 ( multiply(inverse(multiply(c3,X2)),multiply(c3,X3)) = multiply(multiply(inverse(X1),X1),multiply(inverse(X2),X3)) ),
% 0.62/1.03 inference(instl,[status(thm)],['0.34.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.35.0.0',plain,
% 0.62/1.03 ( inverse(multiply(multiply(inverse(X1),X1),multiply(inverse(X2),multiply(inverse(X3),X3)))) = X2 ),
% 0.62/1.03 inference(interreduction_right,[status(thm)],['0.31.2.0'])).
% 0.62/1.03 cnf('0.35.1.0',plain,
% 0.62/1.03 ( inverse(multiply(multiply(inverse(X1),X1),multiply(inverse(X2),multiply(inverse(X3),X3)))) = X2 ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.35.0.0']),
% 0.62/1.03 [weight('<209,31,34,[0,0,0,0]>')]).
% 0.62/1.03 cnf('0.35.1.1',plain,
% 0.62/1.03 ( inverse(multiply(inverse(multiply(c3,X2)),multiply(c3,multiply(inverse(X3),X3)))) = X2 ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.35.1.0','0.34.2.2',theory(equality)]),
% 0.62/1.03 [pos('L.1','R')]).
% 0.62/1.03 cnf('0.35.2.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(multiply(c3,X1)),multiply(c3,multiply(inverse(X2),X2)))) = X1 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.35.1.1',theory(equality)]),
% 0.62/1.03 [u,rule_17]).
% 0.62/1.03 cnf('0.36.0.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,multiply(inverse(X3),X3)))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.35.2.0','0.4.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1','L')]).
% 0.62/1.03 cnf('0.36.1.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,multiply(inverse(X3),X3)))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.36.0.0']),
% 0.62/1.03 [weight('<181,35,4,[1,0,0,1]>')]).
% 0.62/1.03 cnf('0.36.2.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(inverse(X3),X3)))) = X2 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_18]).
% 0.62/1.03 cnf('0.37.0.0',plain,
% 0.62/1.03 ( multiply(inverse(X1),X2) = inverse(multiply(inverse(multiply(X3,multiply(X4,X2))),multiply(X3,multiply(X4,X1)))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.36.2.0','0.9.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1','L')]).
% 0.62/1.03 cnf('0.37.1.0',plain,
% 0.62/1.03 ( multiply(inverse(X1),X2) = inverse(multiply(inverse(multiply(X3,multiply(X4,X2))),multiply(X3,multiply(X4,X1)))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.37.0.0']),
% 0.62/1.03 [weight('<251,36,9,[1,0,0,1]>')]).
% 0.62/1.03 cnf('0.37.2.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,X4)))) = multiply(inverse(X4),X3) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_19]).
% 0.62/1.03 cnf('0.38.0.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),X2)),X1)),inverse(multiply(inverse(X3),X3)))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.36.2.0','0.27.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.2','R')]).
% 0.62/1.03 cnf('0.38.1.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),X2)),X1)),inverse(multiply(inverse(X3),X3)))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.38.0.0']),
% 0.62/1.03 [weight('<271,36,27,[1,0,1,6]>')]).
% 0.62/1.03 cnf('0.38.1.1',plain,
% 0.62/1.03 ( X1 = inverse(multiply(inverse(multiply(multiply(inverse(c3),c3),X1)),inverse(multiply(inverse(X3),X3)))) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.38.1.0','0.27.2.1',theory(equality)]),
% 0.62/1.03 [pos('R.1.1.1.1','L')]).
% 0.62/1.03 cnf('0.38.1.2',plain,
% 0.62/1.03 ( X1 = inverse(multiply(inverse(multiply(multiply(inverse(c3),c3),X1)),multiply(inverse(c3),c3))) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.38.1.1','0.27.2.1',theory(equality)]),
% 0.62/1.03 [pos('R.1.2','L')]).
% 0.62/1.03 cnf('0.38.2.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(multiply(multiply(inverse(c3),c3),X1)),multiply(inverse(c3),c3))) = X1 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.38.1.2',theory(equality)]),
% 0.62/1.03 [x,rule_20]).
% 0.62/1.03 cnf('0.39.0.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),X1)),multiply(inverse(c3),c3))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.38.2.0','0.15.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1.1.1','L')]).
% 0.62/1.03 cnf('0.39.1.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),X1)),multiply(inverse(c3),c3))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.39.0.0']),
% 0.62/1.03 [weight('<209,38,15,[1,0,0,4]>')]).
% 0.62/1.03 cnf('0.39.2.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),X2)),multiply(inverse(c3),c3))) = X2 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_21]).
% 0.62/1.03 cnf('0.40.0.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),X1)),multiply(inverse(X3),X3))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.39.2.0','0.15.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.2','L')]).
% 0.62/1.03 cnf('0.40.1.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),X1)),multiply(inverse(X3),X3))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.40.0.0']),
% 0.62/1.03 [weight('<209,39,15,[1,0,0,9]>')]).
% 0.62/1.03 cnf('0.40.2.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),X2)),multiply(inverse(X3),X3))) = X2 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_22]).
% 0.62/1.03 cnf('0.41.0.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(inverse(X3),X3)))),multiply(inverse(multiply(X4,X2)),X5)) = multiply(X6,multiply(inverse(multiply(X4,X6)),X5)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.7.2.0','0.36.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1','L')]).
% 0.62/1.03 cnf('0.41.0.1',plain,
% 0.62/1.03 ( multiply(X2,multiply(inverse(multiply(X4,X2)),X5)) = multiply(X6,multiply(inverse(multiply(X4,X6)),X5)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.41.0.0','0.36.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1','L')]).
% 0.62/1.03 cnf('0.41.1.0',plain,
% 0.62/1.03 ( multiply(X2,multiply(inverse(multiply(X4,X2)),X5)) = multiply(X6,multiply(inverse(multiply(X4,X6)),X5)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.41.0.1']),
% 0.62/1.03 [weight('<288,36,7,[0,0,0,1]>')]).
% 0.62/1.03 cnf('0.41.2.0',plain,
% 0.62/1.03 ( multiply(X1,multiply(inverse(multiply(X2,X1)),X3)) = multiply(X4,multiply(inverse(multiply(X2,X4)),X3)) ),
% 0.62/1.03 inference(activate,[status(thm)],['0.41.1.0']),
% 0.62/1.03 [equation_19]).
% 0.62/1.03 cnf('0.41.2.1',plain,
% 0.62/1.03 ( multiply(X1,multiply(inverse(multiply(X2,X1)),X3)) = multiply(c3,multiply(inverse(multiply(X2,c3)),X3)) ),
% 0.62/1.03 inference(instr,[status(thm)],['0.41.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.41.2.2',plain,
% 0.62/1.03 ( multiply(c3,multiply(inverse(multiply(X2,c3)),X3)) = multiply(X1,multiply(inverse(multiply(X2,X1)),X3)) ),
% 0.62/1.03 inference(instl,[status(thm)],['0.41.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.46.0.0',plain,
% 0.62/1.03 ( multiply(X1,multiply(inverse(X2),X2)) = inverse(multiply(X3,multiply(inverse(multiply(X1,X3)),multiply(inverse(X4),X4)))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.36.2.0','0.36.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1','L')]).
% 0.62/1.03 cnf('0.46.1.0',plain,
% 0.62/1.03 ( multiply(X1,multiply(inverse(X2),X2)) = inverse(multiply(X3,multiply(inverse(multiply(X1,X3)),multiply(inverse(X4),X4)))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.46.0.0']),
% 0.62/1.03 [weight('<360,36,36,[0,0,0,2]>')]).
% 0.62/1.03 cnf('0.46.2.0',plain,
% 0.62/1.03 ( multiply(X1,multiply(inverse(X2),X2)) = inverse(multiply(X3,multiply(inverse(multiply(X1,X3)),multiply(inverse(X4),X4)))) ),
% 0.62/1.03 inference(activate,[status(thm)],['0.46.1.0']),
% 0.62/1.03 [equation_22]).
% 0.62/1.03 cnf('0.46.2.1',plain,
% 0.62/1.03 ( multiply(X1,multiply(inverse(X2),X2)) = inverse(multiply(c3,multiply(inverse(multiply(X1,c3)),multiply(inverse(c3),c3)))) ),
% 0.62/1.03 inference(instr,[status(thm)],['0.46.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.46.2.2',plain,
% 0.62/1.03 ( multiply(X2,multiply(inverse(c3),c3)) = inverse(multiply(X1,multiply(inverse(multiply(X2,X1)),multiply(inverse(X3),X3)))) ),
% 0.62/1.03 inference(instl,[status(thm)],['0.46.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.47.0.0',plain,
% 0.62/1.03 ( multiply(inverse(inverse(multiply(multiply(inverse(X1),X1),X2))),multiply(inverse(X3),X3)) = X2 ),
% 0.62/1.03 inference(cp,[status(thm)],['0.46.2.0','0.40.2.0',theory(equality)]),
% 0.62/1.03 [pos('R','L')]).
% 0.62/1.03 cnf('0.47.1.0',plain,
% 0.62/1.03 ( multiply(inverse(inverse(multiply(multiply(inverse(X1),X1),X2))),multiply(inverse(X3),X3)) = X2 ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.47.0.0']),
% 0.62/1.03 [weight('<209,46,40,[1,1,0,0]>')]).
% 0.62/1.03 cnf('0.47.2.0',plain,
% 0.62/1.03 ( multiply(inverse(inverse(multiply(multiply(inverse(X1),X1),X2))),multiply(inverse(X3),X3)) = X2 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_25]).
% 0.62/1.03 cnf('0.48.0.0',plain,
% 0.62/1.03 ( multiply(inverse(X1),multiply(inverse(X2),X2)) = inverse(multiply(X1,multiply(inverse(X3),X3))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.46.2.0','0.15.2.0',theory(equality)]),
% 0.62/1.03 [pos('R.1.2','L')]).
% 0.62/1.03 cnf('0.48.1.0',plain,
% 0.62/1.03 ( multiply(inverse(X1),multiply(inverse(X2),X2)) = inverse(multiply(X1,multiply(inverse(X3),X3))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.48.0.0']),
% 0.62/1.03 [weight('<224,46,15,[1,1,0,3]>')]).
% 0.62/1.03 cnf('0.48.2.0',plain,
% 0.62/1.03 ( multiply(inverse(X1),multiply(inverse(X2),X2)) = inverse(multiply(X1,multiply(inverse(X3),X3))) ),
% 0.62/1.03 inference(activate,[status(thm)],['0.48.1.0']),
% 0.62/1.03 [equation_23]).
% 0.62/1.03 cnf('0.48.2.1',plain,
% 0.62/1.03 ( multiply(inverse(X1),multiply(inverse(X2),X2)) = inverse(multiply(X1,multiply(inverse(c3),c3))) ),
% 0.62/1.03 inference(instr,[status(thm)],['0.48.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.48.2.2',plain,
% 0.62/1.03 ( multiply(inverse(X1),multiply(inverse(c3),c3)) = inverse(multiply(X1,multiply(inverse(X2),X2))) ),
% 0.62/1.03 inference(instl,[status(thm)],['0.48.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.49.0.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(inverse(multiply(inverse(inverse(multiply(multiply(inverse(X2),X2),X3))),X1)),X3)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.36.2.0','0.47.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.2','L')]).
% 0.62/1.03 cnf('0.49.1.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(inverse(multiply(inverse(inverse(multiply(multiply(inverse(X2),X2),X3))),X1)),X3)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.49.0.0']),
% 0.62/1.03 [weight('<239,47,36,[0,0,0,6]>')]).
% 0.62/1.03 cnf('0.49.2.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(multiply(inverse(inverse(multiply(multiply(inverse(X1),X1),X2))),X3)),X2)) = X3 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_26]).
% 0.62/1.03 cnf('0.53.0.0',plain,
% 0.62/1.03 ( multiply(inverse(X1),inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))) = inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X1))) ),
% 0.62/1.03 inference(interreduction_right,[status(thm)],['0.2.2.0'])).
% 0.62/1.03 cnf('0.53.1.0',plain,
% 0.62/1.03 ( multiply(inverse(X1),inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))) = inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X1))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.53.0.0']),
% 0.62/1.03 [weight('<?,2,14,[0,0,0,0]>')]).
% 0.62/1.03 cnf('0.53.1.1',plain,
% 0.62/1.03 ( multiply(inverse(X1),inverse(multiply(inverse(X2),multiply(inverse(multiply(inverse(c3),c3)),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))) = inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X1))) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.53.1.0','0.27.2.1',theory(equality)]),
% 0.62/1.03 [pos('L.2.1.2.1.1','L')]).
% 0.62/1.03 cnf('0.53.1.2',plain,
% 0.62/1.03 ( multiply(inverse(X1),inverse(multiply(inverse(X2),multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))) = inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X1))) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.53.1.1','0.27.2.1',theory(equality)]),
% 0.62/1.03 [pos('L.2.1.2.1','L')]).
% 0.62/1.03 cnf('0.53.1.3',plain,
% 0.62/1.03 ( multiply(inverse(X1),inverse(multiply(inverse(X2),multiply(multiply(inverse(c3),c3),multiply(inverse(c3),c3))))) = inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X1))) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.53.1.2','0.27.2.1',theory(equality)]),
% 0.62/1.03 [pos('L.2.1.2.2','L')]).
% 0.62/1.03 cnf('0.53.1.4',plain,
% 0.62/1.03 ( multiply(inverse(X1),inverse(multiply(inverse(X2),multiply(inverse(multiply(c3,c3)),multiply(c3,c3))))) = inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X1))) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.53.1.3','0.34.2.2',theory(equality)]),
% 0.62/1.03 [pos('L.2.1.2','R')]).
% 0.62/1.03 cnf('0.53.1.5',plain,
% 0.62/1.03 ( multiply(inverse(X1),inverse(multiply(inverse(X2),inverse(multiply(inverse(c3),c3))))) = inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X1))) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.53.1.4','0.27.2.2',theory(equality)]),
% 0.62/1.03 [pos('L.2.1.2','R')]).
% 0.62/1.03 cnf('0.53.1.6',plain,
% 0.62/1.03 ( multiply(inverse(X1),inverse(multiply(inverse(X2),multiply(inverse(c3),c3)))) = inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X1))) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.53.1.5','0.27.2.1',theory(equality)]),
% 0.62/1.03 [pos('L.2.1.2','L')]).
% 0.62/1.03 cnf('0.53.1.7',plain,
% 0.62/1.03 ( multiply(inverse(X1),multiply(inverse(inverse(X2)),multiply(inverse(c3),c3))) = inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X1))) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.53.1.6','0.48.2.2',theory(equality)]),
% 0.62/1.03 [pos('L.2','R')]).
% 0.62/1.03 cnf('0.53.2.0',plain,
% 0.62/1.03 ( multiply(inverse(X1),multiply(inverse(inverse(X2)),multiply(inverse(c3),c3))) = inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X1))) ),
% 0.62/1.03 inference(activate,[status(thm)],['0.53.1.7']),
% 0.62/1.03 [equation_24]).
% 0.62/1.03 cnf('0.53.2.1',plain,
% 0.62/1.03 ( multiply(inverse(X1),multiply(inverse(inverse(X2)),multiply(inverse(c3),c3))) = inverse(multiply(inverse(multiply(c3,X2)),multiply(c3,X1))) ),
% 0.62/1.03 inference(instr,[status(thm)],['0.53.2.0',theory(equality)])).
% 0.62/1.03 cnf('0.54.0.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(inverse(X3),X3)))) = multiply(multiply(inverse(X4),X4),multiply(inverse(inverse(X2)),multiply(inverse(c3),c3))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.53.2.0','0.27.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1','L')]).
% 0.62/1.03 cnf('0.54.0.1',plain,
% 0.62/1.03 ( X2 = multiply(multiply(inverse(X4),X4),multiply(inverse(inverse(X2)),multiply(inverse(c3),c3))) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.54.0.0','0.36.2.0',theory(equality)]),
% 0.62/1.03 [pos('L','L')]).
% 0.62/1.03 cnf('0.54.1.0',plain,
% 0.62/1.03 ( X2 = multiply(multiply(inverse(X4),X4),multiply(inverse(inverse(X2)),multiply(inverse(c3),c3))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.54.0.1']),
% 0.62/1.03 [weight('<209,53,27,[1,0,0,1]>')]).
% 0.62/1.03 cnf('0.54.1.1',plain,
% 0.62/1.03 ( X2 = multiply(inverse(multiply(c3,inverse(X2))),multiply(c3,multiply(inverse(c3),c3))) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.54.1.0','0.34.2.2',theory(equality)]),
% 0.62/1.03 [pos('R','R')]).
% 0.62/1.03 cnf('0.54.2.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(c3,inverse(X1))),multiply(c3,multiply(inverse(c3),c3))) = X1 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.54.1.1',theory(equality)]),
% 0.62/1.03 [x,rule_30]).
% 0.62/1.03 cnf('0.55.0.0',plain,
% 0.62/1.03 ( X1 = multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,multiply(inverse(c3),c3))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.54.2.0','0.4.2.0',theory(equality)]),
% 0.62/1.03 [pos('L','L')]).
% 0.62/1.03 cnf('0.55.1.0',plain,
% 0.62/1.03 ( X1 = multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,multiply(inverse(c3),c3))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.55.0.0']),
% 0.62/1.03 [weight('<181,54,4,[1,0,0,0]>')]).
% 0.62/1.03 cnf('0.55.2.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,multiply(inverse(c3),c3))) = X2 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_31]).
% 0.62/1.03 cnf('0.56.0.0',plain,
% 0.62/1.03 ( X1 = multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,multiply(inverse(X3),X3))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.55.2.0','0.15.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.2.2','L')]).
% 0.62/1.03 cnf('0.56.1.0',plain,
% 0.62/1.03 ( X1 = multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,multiply(inverse(X3),X3))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.56.0.0']),
% 0.62/1.03 [weight('<181,55,15,[1,0,0,8]>')]).
% 0.62/1.03 cnf('0.56.2.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,multiply(inverse(X3),X3))) = X2 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_32]).
% 0.62/1.03 cnf('0.59.0.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,multiply(inverse(inverse(X3)),inverse(X1))))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.56.2.0','0.53.2.0',theory(equality)]),
% 0.62/1.03 [pos('L','L')]).
% 0.62/1.03 cnf('0.59.1.0',plain,
% 0.62/1.03 ( X1 = inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,multiply(inverse(inverse(X3)),inverse(X1))))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.59.0.0']),
% 0.62/1.03 [weight('<239,56,53,[1,0,0,0]>')]).
% 0.62/1.03 cnf('0.59.2.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(inverse(inverse(X2)),inverse(X3))))) = X3 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_35]).
% 0.62/1.03 cnf('0.60.0.0',plain,
% 0.62/1.03 ( multiply(inverse(X1),multiply(inverse(inverse(X2)),inverse(X3))) = inverse(multiply(X3,multiply(inverse(multiply(X4,X2)),multiply(X4,X1)))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.37.2.0','0.59.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1','L')]).
% 0.62/1.03 cnf('0.60.1.0',plain,
% 0.62/1.03 ( multiply(inverse(X1),multiply(inverse(inverse(X2)),inverse(X3))) = inverse(multiply(X3,multiply(inverse(multiply(X4,X2)),multiply(X4,X1)))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.60.0.0']),
% 0.62/1.03 [weight('<251,59,37,[0,0,0,2]>')]).
% 0.62/1.03 cnf('0.60.2.0',plain,
% 0.62/1.03 ( inverse(multiply(X1,multiply(inverse(multiply(X2,X3)),multiply(X2,X4)))) = multiply(inverse(X4),multiply(inverse(inverse(X3)),inverse(X1))) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_36]).
% 0.62/1.03 cnf('0.61.0.0',plain,
% 0.62/1.03 ( multiply(inverse(X1),multiply(inverse(inverse(X2)),inverse(multiply(inverse(X3),X3)))) = inverse(multiply(inverse(multiply(X4,multiply(X5,X2))),multiply(X4,multiply(X5,X1)))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.60.2.0','0.34.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1','R')]).
% 0.62/1.03 cnf('0.61.0.1',plain,
% 0.62/1.03 ( multiply(inverse(X1),multiply(inverse(inverse(X2)),inverse(multiply(inverse(X3),X3)))) = multiply(inverse(X1),X2) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.61.0.0','0.37.2.0',theory(equality)]),
% 0.62/1.03 [pos('R','L')]).
% 0.62/1.03 cnf('0.61.1.0',plain,
% 0.62/1.03 ( multiply(inverse(X1),multiply(inverse(inverse(X2)),inverse(multiply(inverse(X3),X3)))) = multiply(inverse(X1),X2) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.61.0.1']),
% 0.62/1.03 [weight('<220,60,34,[1,0,1,1]>')]).
% 0.62/1.03 cnf('0.61.1.1',plain,
% 0.62/1.03 ( multiply(inverse(X1),multiply(inverse(inverse(X2)),multiply(inverse(c3),c3))) = multiply(inverse(X1),X2) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.61.1.0','0.27.2.1',theory(equality)]),
% 0.62/1.03 [pos('L.2.2','L')]).
% 0.62/1.03 cnf('0.61.1.2',plain,
% 0.62/1.03 ( inverse(multiply(inverse(multiply(c3,X2)),multiply(c3,X1))) = multiply(inverse(X1),X2) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.61.1.1','0.53.2.1',theory(equality)]),
% 0.62/1.03 [pos('L','L')]).
% 0.62/1.03 cnf('0.61.2.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(multiply(c3,X1)),multiply(c3,X2))) = multiply(inverse(X2),X1) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.61.1.2',theory(equality)]),
% 0.62/1.03 [u,rule_37]).
% 0.62/1.03 cnf('0.62.0.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(inverse(X1),X1)),X2) = X2 ),
% 0.62/1.03 inference(cp,[status(thm)],['0.61.2.0','0.36.2.0',theory(equality)]),
% 0.62/1.03 [pos('L','L')]).
% 0.62/1.03 cnf('0.62.1.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(inverse(X1),X1)),X2) = X2 ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.62.0.0']),
% 0.62/1.03 [weight('<71,61,36,[1,0,0,0]>')]).
% 0.62/1.03 cnf('0.62.1.1',plain,
% 0.62/1.03 ( multiply(multiply(inverse(c3),c3),X2) = X2 ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.62.1.0','0.27.2.1',theory(equality)]),
% 0.62/1.03 [pos('L.1','L')]).
% 0.62/1.03 cnf('0.62.2.0',plain,
% 0.62/1.03 ( multiply(multiply(inverse(c3),c3),X1) = X1 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.62.1.1',theory(equality)]),
% 0.62/1.03 [u,rule_38]).
% 0.62/1.03 cnf('0.63.0.0',plain,
% 0.62/1.03 ( X1 = multiply(multiply(inverse(X2),X2),X1) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.62.2.0','0.15.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1','L')]).
% 0.62/1.03 cnf('0.63.1.0',plain,
% 0.62/1.03 ( X1 = multiply(multiply(inverse(X2),X2),X1) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.63.0.0']),
% 0.62/1.03 [weight('<55,62,15,[1,0,0,1]>')]).
% 0.62/1.03 cnf('0.63.2.0',plain,
% 0.62/1.03 ( multiply(multiply(inverse(X1),X1),X2) = X2 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_39]).
% 0.62/1.03 cnf('0.64.0.0',plain,
% 0.62/1.03 ( multiply(inverse(inverse(multiply(multiply(inverse(X1),X1),X2))),multiply(inverse(X3),X3)) = X2 ),
% 0.62/1.03 inference(interreduction_right,[status(thm)],['0.47.2.0'])).
% 0.62/1.03 cnf('0.64.0.1',plain,
% 0.62/1.03 ( multiply(inverse(inverse(X2)),multiply(inverse(X3),X3)) = X2 ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.64.0.0','0.63.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1.1','L')]).
% 0.62/1.03 cnf('0.64.1.0',plain,
% 0.62/1.03 ( multiply(inverse(inverse(X2)),multiply(inverse(X3),X3)) = X2 ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.64.0.1']),
% 0.62/1.03 [weight('<89,47,63,[0,0,0,0]>')]).
% 0.62/1.03 cnf('0.64.2.0',plain,
% 0.62/1.03 ( multiply(inverse(inverse(X1)),multiply(inverse(X2),X2)) = X1 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_40]).
% 0.62/1.03 cnf('0.65.0.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(multiply(inverse(inverse(multiply(multiply(inverse(X1),X1),X2))),X3)),X2)) = X3 ),
% 0.62/1.03 inference(interreduction_right,[status(thm)],['0.49.2.0'])).
% 0.62/1.03 cnf('0.65.0.1',plain,
% 0.62/1.03 ( inverse(multiply(inverse(multiply(inverse(inverse(X2)),X3)),X2)) = X3 ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.65.0.0','0.63.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1.1.1.1.1','L')]).
% 0.62/1.03 cnf('0.65.1.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(multiply(inverse(inverse(X2)),X3)),X2)) = X3 ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.65.0.1']),
% 0.62/1.03 [weight('<109,49,63,[0,0,0,0]>')]).
% 0.62/1.03 cnf('0.65.2.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(multiply(inverse(inverse(X1)),X2)),X1)) = X2 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_41]).
% 0.62/1.03 cnf('0.67.0.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(multiply(inverse(X4),X4),multiply(inverse(X2),X3)) ),
% 0.62/1.03 inference(interreduction_right,[status(thm)],['0.34.2.0'])).
% 0.62/1.03 cnf('0.67.0.1',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(X2),X3) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.67.0.0','0.63.2.0',theory(equality)]),
% 0.62/1.03 [pos('R','L')]).
% 0.62/1.03 cnf('0.67.1.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(X2),X3) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.67.0.1']),
% 0.62/1.03 [weight('<116,34,63,[0,0,0,0]>')]).
% 0.62/1.03 cnf('0.67.2.0',plain,
% 0.62/1.03 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(X2),X3) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_43]).
% 0.62/1.03 cnf('0.68.0.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,X4)))) = multiply(inverse(X4),X3) ),
% 0.62/1.03 inference(interreduction_right,[status(thm)],['0.37.2.0'])).
% 0.62/1.03 cnf('0.68.0.1',plain,
% 0.62/1.03 ( inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X4))) = multiply(inverse(X4),X3) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.68.0.0','0.67.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1','L')]).
% 0.62/1.03 cnf('0.68.0.2',plain,
% 0.62/1.03 ( inverse(multiply(inverse(X3),X4)) = multiply(inverse(X4),X3) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.68.0.1','0.67.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1','L')]).
% 0.62/1.03 cnf('0.68.1.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(X3),X4)) = multiply(inverse(X4),X3) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.68.0.2']),
% 0.62/1.03 [weight('<59,37,67,[0,0,0,0]>')]).
% 0.62/1.03 cnf('0.68.2.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_44]).
% 0.62/1.03 cnf('0.69.0.0',plain,
% 0.62/1.03 ( inverse(multiply(inverse(multiply(inverse(inverse(X1)),X2)),X1)) = X2 ),
% 0.62/1.03 inference(interreduction_right,[status(thm)],['0.65.2.0'])).
% 0.62/1.03 cnf('0.69.0.1',plain,
% 0.62/1.03 ( multiply(inverse(X1),multiply(inverse(inverse(X1)),X2)) = X2 ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.69.0.0','0.68.2.0',theory(equality)]),
% 0.62/1.03 [pos('L','L')]).
% 0.62/1.03 cnf('0.69.1.0',plain,
% 0.62/1.03 ( multiply(inverse(X1),multiply(inverse(inverse(X1)),X2)) = X2 ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.69.0.1']),
% 0.62/1.03 [weight('<89,65,68,[0,0,0,0]>')]).
% 0.62/1.03 cnf('0.69.2.0',plain,
% 0.62/1.03 ( multiply(inverse(X1),multiply(inverse(inverse(X1)),X2)) = X2 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_45]).
% 0.62/1.03 cnf('0.70.0.0',plain,
% 0.62/1.03 ( multiply(inverse(inverse(X1)),multiply(inverse(X2),X2)) = inverse(inverse(X1)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.48.2.0','0.69.2.0',theory(equality)]),
% 0.62/1.03 [pos('R.1','L')]).
% 0.62/1.03 cnf('0.70.0.1',plain,
% 0.62/1.03 ( X1 = inverse(inverse(X1)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.70.0.0','0.64.2.0',theory(equality)]),
% 0.62/1.03 [pos('L','L')]).
% 0.62/1.03 cnf('0.70.1.0',plain,
% 0.62/1.03 ( X1 = inverse(inverse(X1)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.70.0.1']),
% 0.62/1.03 [weight('<19,69,48,[0,0,1,1]>')]).
% 0.62/1.03 cnf('0.70.2.0',plain,
% 0.62/1.03 ( inverse(inverse(X1)) = X1 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_46]).
% 0.62/1.03 cnf('0.71.0.0',plain,
% 0.62/1.03 ( multiply(inverse(inverse(X1)),multiply(inverse(X2),X2)) = X1 ),
% 0.62/1.03 inference(interreduction_right,[status(thm)],['0.64.2.0'])).
% 0.62/1.03 cnf('0.71.0.1',plain,
% 0.62/1.03 ( multiply(X1,multiply(inverse(X2),X2)) = X1 ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.71.0.0','0.70.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1','L')]).
% 0.62/1.03 cnf('0.71.1.0',plain,
% 0.62/1.03 ( multiply(X1,multiply(inverse(X2),X2)) = X1 ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.71.0.1']),
% 0.62/1.03 [weight('<55,64,70,[0,0,0,0]>')]).
% 0.62/1.03 cnf('0.71.2.0',plain,
% 0.62/1.03 ( multiply(X1,multiply(inverse(X2),X2)) = X1 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.71.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_47]).
% 0.62/1.03 cnf('0.74.0.0',plain,
% 0.62/1.03 ( X1 = multiply(X2,multiply(inverse(multiply(X3,X2)),multiply(X3,X1))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.71.2.0','0.41.2.0',theory(equality)]),
% 0.62/1.03 [pos('L','L')]).
% 0.62/1.03 cnf('0.74.0.1',plain,
% 0.62/1.03 ( X1 = multiply(X2,multiply(inverse(X2),X1)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.74.0.0','0.67.2.0',theory(equality)]),
% 0.62/1.03 [pos('R.2','L')]).
% 0.62/1.03 cnf('0.74.1.0',plain,
% 0.62/1.03 ( X1 = multiply(X2,multiply(inverse(X2),X1)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.74.0.1']),
% 0.62/1.03 [weight('<55,71,41,[1,0,0,0]>')]).
% 0.62/1.03 cnf('0.74.2.0',plain,
% 0.62/1.03 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_50]).
% 0.62/1.03 cnf('0.76.0.0',plain,
% 0.62/1.03 ( multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.68.2.0','0.70.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1','L')]).
% 0.62/1.03 cnf('0.76.1.0',plain,
% 0.62/1.03 ( multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.76.0.0']),
% 0.62/1.03 [weight('<59,70,68,[0,0,0,2]>')]).
% 0.62/1.03 cnf('0.76.2.0',plain,
% 0.62/1.03 ( multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.76.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_52]).
% 0.62/1.03 cnf('0.81.0.0',plain,
% 0.62/1.03 ( inverse(X1) = multiply(X2,inverse(multiply(X1,X2))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.74.2.0','0.76.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.2','L')]).
% 0.62/1.03 cnf('0.81.1.0',plain,
% 0.62/1.03 ( inverse(X1) = multiply(X2,inverse(multiply(X1,X2))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.81.0.0']),
% 0.62/1.03 [weight('<62,76,74,[0,0,0,2]>')]).
% 0.62/1.03 cnf('0.81.2.0',plain,
% 0.62/1.03 ( multiply(X1,inverse(multiply(X2,X1))) = inverse(X2) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_57]).
% 0.62/1.03 cnf('0.82.0.0',plain,
% 0.62/1.03 ( multiply(inverse(inverse(multiply(X1,X2))),X3) = multiply(inverse(inverse(X1)),multiply(X2,X3)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.67.2.0','0.81.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1','L')]).
% 0.62/1.03 cnf('0.82.0.1',plain,
% 0.62/1.03 ( multiply(multiply(X1,X2),X3) = multiply(inverse(inverse(X1)),multiply(X2,X3)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.82.0.0','0.70.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1','L')]).
% 0.62/1.03 cnf('0.82.0.2',plain,
% 0.62/1.03 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.82.0.1','0.70.2.0',theory(equality)]),
% 0.62/1.03 [pos('R.1','L')]).
% 0.62/1.03 cnf('0.82.1.0',plain,
% 0.62/1.03 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.82.0.2']),
% 0.62/1.03 [weight('<65,81,67,[0,0,0,2]>')]).
% 0.62/1.03 cnf('0.82.2.0',plain,
% 0.62/1.03 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_58]).
% 0.62/1.03 cnf('1.0.0.0',conjecture,
% 0.62/1.03 ( multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.62/1.03 file('/tmp/WALDMEISTER_17599_n024',conjecture_1)).
% 0.62/1.03 cnf('1.0.0.1',plain,
% 0.62/1.03 ( multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['1.0.0.0','0.82.2.0',theory(equality)]),
% 0.62/1.03 [pos('L','L')]).
% 0.62/1.03 cnf('1.0.0.2',plain,
% 0.62/1.03 ( $true ),
% 0.62/1.03 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.62/1.03 [conjecture_1]).
% 0.62/1.03
% 0.62/1.03 Proved Goals:
% 0.62/1.03 No. 1: multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) joined, current: multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3))
% 0.62/1.03 1 goal was specified, which was proved.
% 0.62/1.03 % SZS output end CNFRefutation
% 0.62/1.03 #END OF PROOF
% 0.62/1.03
% 0.62/1.03 Problem WALDMEISTER_17599_n024
% 0.62/1.03 CPs.gen 6652
% 0.62/1.03 CPs.reexp 0
% 0.62/1.03 Select 432
% 0.62/1.03 R 58
% 0.62/1.03 E 24
% 0.62/1.03 vsize 6.4M
% 0.62/1.03 rss 3.8M
% 0.62/1.03 process.time 0.048s
% 0.62/1.03 wallclock.time 0.048s
% 0.62/1.03 status S
% 0.62/1.03
% 0.62/1.03
% 0.62/1.03 Waldmeister states: Goal proved.
% 0.62/1.03 % SZS status Unsatisfiable
%------------------------------------------------------------------------------