TSTP Solution File: GRP414-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP414-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n021.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 12:26:10 EDT 2022
% Result : Unsatisfiable 0.61s 1.02s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP414-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 13:16:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.57/0.96 ********************************************************************************
% 0.57/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.96 * |/ | \/ | *
% 0.57/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.96 * A. Jaeger and B. Loechner | | *
% 0.57/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.96 ********************************************************************************
% 0.57/0.96
% 0.57/0.96
% 0.57/0.96 Goals:
% 0.57/0.96 ------
% 0.57/0.96
% 0.57/0.96 ( 1) multiply(multiply(a3,b3),c3) ?=? multiply(a3,multiply(b3,c3))
% 0.57/0.96
% 0.57/0.96 Detected structure: Orkus
% 0.57/0.96 ********************************************************************************
% 0.57/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.96 ********************************************************************************
% 0.57/0.96
% 0.61/1.02 joined goal: 1 multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) to multiply(a3,multiply(b3,c3))
% 0.61/1.02 goal joined
% 0.61/1.02 % SZS status Unsatisfiable
% 0.61/1.02 #START OF PROOF
% 0.61/1.02 % SZS output start CNFRefutation
% 0.61/1.02 cnf('0.1.0.0',axiom,
% 0.61/1.02 ( X1 = multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(X2,inverse(X3))),X1))),X3))) ),
% 0.61/1.02 file('/tmp/WALDMEISTER_17003_n021')).
% 0.61/1.02 cnf('0.1.1.0',plain,
% 0.61/1.02 ( X1 = multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(X2,inverse(X3))),X1))),X3))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.61/1.02 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.61/1.02 cnf('0.1.2.0',plain,
% 0.61/1.02 ( multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X1,inverse(X2))),X3))),X2))) = X3 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_1]).
% 0.61/1.02 cnf('0.2.0.0',plain,
% 0.61/1.02 ( inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),inverse(X1))),X4))),X1)) = multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(X4)),X3))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1.1.2.1','L')]).
% 0.61/1.02 cnf('0.2.1.0',plain,
% 0.61/1.02 ( inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),inverse(X1))),X4))),X1)) = multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(X4)),X3))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.61/1.02 [weight('<?,1,1,[0,0,0,10]>')]).
% 0.61/1.02 cnf('0.2.2.0',plain,
% 0.61/1.02 ( inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),inverse(X1))),X4))),X1)) = multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(X4)),X3))) ),
% 0.61/1.02 inference(activate,[status(thm)],['0.2.1.0']),
% 0.61/1.02 [equation_1]).
% 0.61/1.02 cnf('0.2.2.2',plain,
% 0.61/1.02 ( inverse(multiply(multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(c3))),X3))),c3)) = multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X3)),X2))) ),
% 0.61/1.02 inference(instl,[status(thm)],['0.2.2.0',theory(equality)])).
% 0.61/1.02 cnf('0.3.0.0',plain,
% 0.61/1.02 ( X1 = multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(X1)),X3)))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2','L')]).
% 0.61/1.02 cnf('0.3.1.0',plain,
% 0.61/1.02 ( X1 = multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(X1)),X3)))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.61/1.02 [weight('<379,2,1,[0,0,0,2]>')]).
% 0.61/1.02 cnf('0.3.2.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X3)),X2)))) = X3 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_2]).
% 0.61/1.02 cnf('0.4.0.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X3))),X4) = multiply(inverse(multiply(X5,inverse(X3))),multiply(X5,multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X4)),X2))))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2','L')]).
% 0.61/1.02 cnf('0.4.1.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X3))),X4) = multiply(inverse(multiply(X5,inverse(X3))),multiply(X5,multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X4)),X2))))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.61/1.02 [weight('<671,3,2,[1,0,0,8]>')]).
% 0.61/1.02 cnf('0.4.2.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,multiply(X3,inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(X5)),X4))))) = multiply(inverse(multiply(inverse(multiply(X3,inverse(X4))),inverse(X2))),X5) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_3]).
% 0.61/1.02 cnf('0.5.0.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X3))),multiply(inverse(multiply(X1,inverse(X2))),X4)) = multiply(inverse(multiply(X5,inverse(X3))),multiply(X5,X4)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2','L')]).
% 0.61/1.02 cnf('0.5.1.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X3))),multiply(inverse(multiply(X1,inverse(X2))),X4)) = multiply(inverse(multiply(X5,inverse(X3))),multiply(X5,X4)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.61/1.02 [weight('<728,4,1,[1,0,0,8]>')]).
% 0.61/1.02 cnf('0.5.2.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X3))),multiply(inverse(multiply(X1,inverse(X2))),X4)) = multiply(inverse(multiply(X5,inverse(X3))),multiply(X5,X4)) ),
% 0.61/1.02 inference(activate,[status(thm)],['0.5.1.0']),
% 0.61/1.02 [equation_2]).
% 0.61/1.02 cnf('0.5.2.1',plain,
% 0.61/1.02 ( multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X3))),multiply(inverse(multiply(X1,inverse(X2))),X4)) = multiply(inverse(multiply(c3,inverse(X3))),multiply(c3,X4)) ),
% 0.61/1.02 inference(instr,[status(thm)],['0.5.2.0',theory(equality)])).
% 0.61/1.02 cnf('0.5.2.2',plain,
% 0.61/1.02 ( multiply(inverse(multiply(inverse(multiply(c3,inverse(c3))),inverse(X2))),multiply(inverse(multiply(c3,inverse(c3))),X3)) = multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) ),
% 0.61/1.02 inference(instl,[status(thm)],['0.5.2.0',theory(equality)])).
% 0.61/1.02 cnf('0.6.0.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X3)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.5.2.0','0.5.2.0',theory(equality)]),
% 0.61/1.02 [pos('L','L')]).
% 0.61/1.02 cnf('0.6.1.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X3)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.61/1.02 [weight('<360,5,5,[1,0,0,0]>')]).
% 0.61/1.02 cnf('0.6.2.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X3)) ),
% 0.61/1.02 inference(activate,[status(thm)],['0.6.1.0']),
% 0.61/1.02 [equation_3]).
% 0.61/1.02 cnf('0.6.2.1',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(multiply(c3,inverse(X2))),multiply(c3,X3)) ),
% 0.61/1.02 inference(instr,[status(thm)],['0.6.2.0',theory(equality)])).
% 0.61/1.02 cnf('0.6.2.2',plain,
% 0.61/1.02 ( multiply(inverse(multiply(c3,inverse(X2))),multiply(c3,X3)) = multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) ),
% 0.61/1.02 inference(instl,[status(thm)],['0.6.2.0',theory(equality)])).
% 0.61/1.02 cnf('0.7.0.0',plain,
% 0.61/1.02 ( multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X1,inverse(X2))),X3))),X2))) = inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,X3)))),X4)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.2.2.0','0.6.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.1.2.1','L')]).
% 0.61/1.02 cnf('0.7.0.1',plain,
% 0.61/1.02 ( X3 = inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,X3)))),X4)) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.7.0.0','0.1.2.0',theory(equality)]),
% 0.61/1.02 [pos('L','L')]).
% 0.61/1.02 cnf('0.7.1.0',plain,
% 0.61/1.02 ( X3 = inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,X3)))),X4)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.7.0.1']),
% 0.61/1.02 [weight('<379,6,2,[0,0,0,8]>')]).
% 0.61/1.02 cnf('0.7.2.0',plain,
% 0.61/1.02 ( inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,X3)))),X1)) = X3 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_4]).
% 0.61/1.02 cnf('0.8.0.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,X4)))),X2)))),multiply(X1,X5)) = multiply(inverse(multiply(X6,X4)),multiply(X6,X5)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.6.2.0','0.7.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.1.2','L')]).
% 0.61/1.02 cnf('0.8.0.1',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,X4)),multiply(X1,X5)) = multiply(inverse(multiply(X6,X4)),multiply(X6,X5)) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.8.0.0','0.7.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.1.2','L')]).
% 0.61/1.02 cnf('0.8.1.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,X4)),multiply(X1,X5)) = multiply(inverse(multiply(X6,X4)),multiply(X6,X5)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.8.0.1']),
% 0.61/1.02 [weight('<288,7,6,[0,0,0,4]>')]).
% 0.61/1.02 cnf('0.8.2.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)) ),
% 0.61/1.02 inference(activate,[status(thm)],['0.8.1.0']),
% 0.61/1.02 [equation_4]).
% 0.61/1.02 cnf('0.8.2.1',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(c3,X2)),multiply(c3,X3)) ),
% 0.61/1.02 inference(instr,[status(thm)],['0.8.2.0',theory(equality)])).
% 0.61/1.02 cnf('0.8.2.2',plain,
% 0.61/1.02 ( multiply(inverse(multiply(c3,X2)),multiply(c3,X3)) = multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) ),
% 0.61/1.02 inference(instl,[status(thm)],['0.8.2.0',theory(equality)])).
% 0.61/1.02 cnf('0.20.0.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(X4,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X5,inverse(X2))),multiply(X5,X4)))),X3)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.8.2.0','0.7.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1','L')]).
% 0.61/1.02 cnf('0.20.1.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(X4,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X5,inverse(X2))),multiply(X5,X4)))),X3)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.61/1.02 [weight('<783,8,7,[1,0,0,1]>')]).
% 0.61/1.02 cnf('0.20.2.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(X4,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X5,inverse(X2))),multiply(X5,X4)))),X3)) ),
% 0.61/1.02 inference(activate,[status(thm)],['0.20.1.0']),
% 0.61/1.02 [equation_8]).
% 0.61/1.02 cnf('0.20.2.1',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(c3,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(c3,inverse(X2))),multiply(c3,c3)))),X3)) ),
% 0.61/1.02 inference(instr,[status(thm)],['0.20.2.0',theory(equality)])).
% 0.61/1.02 cnf('0.20.2.2',plain,
% 0.61/1.02 ( multiply(inverse(multiply(c3,X2)),multiply(c3,X4)) = multiply(X1,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,X1)))),X4)) ),
% 0.61/1.02 inference(instl,[status(thm)],['0.20.2.0',theory(equality)])).
% 0.61/1.02 cnf('0.23.0.0',plain,
% 0.61/1.02 ( multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),inverse(X1))),X3))),X1) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(multiply(X3,X2)))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.2.1.1','L')]).
% 0.61/1.02 cnf('0.23.1.0',plain,
% 0.61/1.02 ( multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),inverse(X1))),X3))),X1) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(multiply(X3,X2)))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.61/1.02 [weight('<960,3,1,[1,0,0,10]>')]).
% 0.61/1.02 cnf('0.23.2.0',plain,
% 0.61/1.02 ( multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),inverse(X1))),X3))),X1) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(multiply(X3,X2)))) ),
% 0.61/1.02 inference(activate,[status(thm)],['0.23.1.0']),
% 0.61/1.02 [equation_10]).
% 0.61/1.02 cnf('0.23.2.1',plain,
% 0.61/1.02 ( multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),inverse(X1))),X3))),X1) = multiply(inverse(multiply(c3,inverse(X2))),multiply(c3,inverse(multiply(X3,X2)))) ),
% 0.61/1.02 inference(instr,[status(thm)],['0.23.2.0',theory(equality)])).
% 0.61/1.02 cnf('0.23.2.2',plain,
% 0.61/1.02 ( multiply(multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),inverse(c3))),X3))),c3) = multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(X3,X2)))) ),
% 0.61/1.02 inference(instl,[status(thm)],['0.23.2.0',theory(equality)])).
% 0.61/1.02 cnf('0.24.0.0',plain,
% 0.61/1.02 ( X1 = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(X1,X2)))))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.1.2.0','0.23.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1','L')]).
% 0.61/1.02 cnf('0.24.1.0',plain,
% 0.61/1.02 ( X1 = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(X1,X2)))))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.61/1.02 [weight('<379,23,1,[0,0,0,3]>')]).
% 0.61/1.02 cnf('0.24.2.0',plain,
% 0.61/1.02 ( multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(multiply(X3,X1)))))) = X3 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_14]).
% 0.61/1.02 cnf('0.25.0.0',plain,
% 0.61/1.02 ( X1 = inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),X1),X3))))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.7.2.0','0.23.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1','L')]).
% 0.61/1.02 cnf('0.25.1.0',plain,
% 0.61/1.02 ( X1 = inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),X1),X3))))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.61/1.02 [weight('<379,23,7,[0,0,0,1]>')]).
% 0.61/1.02 cnf('0.25.2.0',plain,
% 0.61/1.02 ( inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),X3),X2))))) = X3 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_15]).
% 0.61/1.02 cnf('0.30.0.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = multiply(X3,multiply(inverse(multiply(X4,inverse(X5))),multiply(X4,inverse(multiply(multiply(multiply(inverse(X5),X5),X3),X5))))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.20.2.0','0.23.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2','L')]).
% 0.61/1.02 cnf('0.30.1.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = multiply(X3,multiply(inverse(multiply(X4,inverse(X5))),multiply(X4,inverse(multiply(multiply(multiply(inverse(X5),X5),X3),X5))))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.61/1.02 [weight('<783,23,20,[0,0,1,2]>')]).
% 0.61/1.02 cnf('0.30.2.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = multiply(X3,multiply(inverse(multiply(X4,inverse(X5))),multiply(X4,inverse(multiply(multiply(multiply(inverse(X5),X5),X3),X5))))) ),
% 0.61/1.02 inference(activate,[status(thm)],['0.30.1.0']),
% 0.61/1.02 [equation_11]).
% 0.61/1.02 cnf('0.30.2.1',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = multiply(c3,multiply(inverse(multiply(c3,inverse(c3))),multiply(c3,inverse(multiply(multiply(multiply(inverse(c3),c3),c3),c3))))) ),
% 0.61/1.02 inference(instr,[status(thm)],['0.30.2.0',theory(equality)])).
% 0.61/1.02 cnf('0.30.2.2',plain,
% 0.61/1.02 ( multiply(inverse(multiply(c3,c3)),multiply(c3,c3)) = multiply(X1,multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),X1),X3))))) ),
% 0.61/1.02 inference(instl,[status(thm)],['0.30.2.0',theory(equality)])).
% 0.61/1.02 cnf('0.31.0.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = multiply(inverse(X3),multiply(inverse(multiply(X4,inverse(X5))),inverse(multiply(multiply(multiply(inverse(X6),X6),inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X5))),inverse(X6))),X3))),X6)))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.30.2.0','0.2.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2.2','R')]).
% 0.61/1.02 cnf('0.31.0.1',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = multiply(inverse(X3),X3) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.31.0.0','0.1.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2','L')]).
% 0.61/1.02 cnf('0.31.1.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = multiply(inverse(X3),X3) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.31.0.1']),
% 0.61/1.02 [weight('<168,30,2,[1,1,1,8]>')]).
% 0.61/1.02 cnf('0.31.2.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = multiply(inverse(X3),X3) ),
% 0.61/1.02 inference(activate,[status(thm)],['0.31.1.0']),
% 0.61/1.02 [equation_12]).
% 0.61/1.02 cnf('0.31.2.1',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = multiply(inverse(c3),c3) ),
% 0.61/1.02 inference(instr,[status(thm)],['0.31.2.0',theory(equality)])).
% 0.61/1.02 cnf('0.31.2.2',plain,
% 0.61/1.02 ( multiply(inverse(multiply(c3,c3)),multiply(c3,c3)) = multiply(inverse(X1),X1) ),
% 0.61/1.02 inference(instl,[status(thm)],['0.31.2.0',theory(equality)])).
% 0.61/1.02 cnf('0.32.0.0',plain,
% 0.61/1.02 ( multiply(inverse(X1),X1) = multiply(inverse(X2),multiply(X3,inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(X3,inverse(X4))),X2))),X4)))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.31.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.1','L')]).
% 0.61/1.02 cnf('0.32.0.1',plain,
% 0.61/1.02 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.32.0.0','0.1.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2','L')]).
% 0.61/1.02 cnf('0.32.1.0',plain,
% 0.61/1.02 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.32.0.1']),
% 0.61/1.02 [weight('<80,31,1,[1,0,0,2]>')]).
% 0.61/1.02 cnf('0.32.2.0',plain,
% 0.61/1.02 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 0.61/1.02 inference(activate,[status(thm)],['0.32.1.0']),
% 0.61/1.02 [equation_13]).
% 0.61/1.02 cnf('0.32.2.1',plain,
% 0.61/1.02 ( multiply(inverse(X1),X1) = multiply(inverse(c3),c3) ),
% 0.61/1.02 inference(instr,[status(thm)],['0.32.2.0',theory(equality)])).
% 0.61/1.02 cnf('0.32.2.2',plain,
% 0.61/1.02 ( multiply(inverse(c3),c3) = multiply(inverse(X1),X1) ),
% 0.61/1.02 inference(instl,[status(thm)],['0.32.2.0',theory(equality)])).
% 0.61/1.02 cnf('0.33.0.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X3)),X2)))) = multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(X4),X4))),X3) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.23.2.0','0.32.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.2.1','L')]).
% 0.61/1.02 cnf('0.33.0.1',plain,
% 0.61/1.02 ( X3 = multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(X4),X4))),X3) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.33.0.0','0.3.2.0',theory(equality)]),
% 0.61/1.02 [pos('L','L')]).
% 0.61/1.02 cnf('0.33.1.0',plain,
% 0.61/1.02 ( X3 = multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(X4),X4))),X3) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.33.0.1']),
% 0.61/1.02 [weight('<181,32,23,[0,0,0,7]>')]).
% 0.61/1.02 cnf('0.33.2.0',plain,
% 0.61/1.02 ( multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X2))),X1) = X1 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_20]).
% 0.61/1.02 cnf('0.34.0.0',plain,
% 0.61/1.02 ( X1 = multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X3),X3))),X1) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.33.2.0','0.32.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.1','L')]).
% 0.61/1.02 cnf('0.34.1.0',plain,
% 0.61/1.02 ( X1 = multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X3),X3))),X1) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.61/1.02 [weight('<181,33,32,[1,0,0,2]>')]).
% 0.61/1.02 cnf('0.34.2.0',plain,
% 0.61/1.02 ( multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X2))),X3) = X3 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_21]).
% 0.61/1.02 cnf('0.35.0.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(X2),multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(X5),X5))),X3)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.8.2.0','0.34.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.1','L')]).
% 0.61/1.02 cnf('0.35.0.1',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(X2),X3) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.35.0.0','0.34.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2','L')]).
% 0.61/1.02 cnf('0.35.1.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(X2),X3) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.35.0.1']),
% 0.61/1.02 [weight('<116,34,8,[0,0,0,2]>')]).
% 0.61/1.02 cnf('0.35.2.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(X2),X3) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_22]).
% 0.61/1.02 cnf('0.36.0.0',plain,
% 0.61/1.02 ( multiply(inverse(X1),X2) = multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X1),X2)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.35.2.0','0.32.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.1','L')]).
% 0.61/1.02 cnf('0.36.1.0',plain,
% 0.61/1.02 ( multiply(inverse(X1),X2) = multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X1),X2)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.36.0.0']),
% 0.61/1.02 [weight('<164,35,32,[1,0,0,2]>')]).
% 0.61/1.02 cnf('0.36.2.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X3)) = multiply(inverse(X2),X3) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_23]).
% 0.61/1.02 cnf('0.37.0.0',plain,
% 0.61/1.02 ( multiply(inverse(X1),inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(inverse(X1),inverse(X2))),X3))),X2))) = multiply(inverse(multiply(inverse(X4),X4)),X3) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.36.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2','L')]).
% 0.61/1.02 cnf('0.37.0.1',plain,
% 0.61/1.02 ( X3 = multiply(inverse(multiply(inverse(X4),X4)),X3) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.37.0.0','0.1.2.0',theory(equality)]),
% 0.61/1.02 [pos('L','L')]).
% 0.61/1.02 cnf('0.37.1.0',plain,
% 0.61/1.02 ( X3 = multiply(inverse(multiply(inverse(X4),X4)),X3) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.37.0.1']),
% 0.61/1.02 [weight('<71,36,1,[1,0,0,6]>')]).
% 0.61/1.02 cnf('0.37.2.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(inverse(X1),X1)),X2) = X2 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_24]).
% 0.61/1.02 cnf('0.38.0.0',plain,
% 0.61/1.02 ( multiply(inverse(X1),X2) = multiply(inverse(multiply(inverse(X2),X1)),multiply(inverse(X3),X3)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.35.2.0','0.32.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2','L')]).
% 0.61/1.02 cnf('0.38.1.0',plain,
% 0.61/1.02 ( multiply(inverse(X1),X2) = multiply(inverse(multiply(inverse(X2),X1)),multiply(inverse(X3),X3)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.38.0.0']),
% 0.61/1.02 [weight('<164,35,32,[1,0,0,5]>')]).
% 0.61/1.02 cnf('0.38.2.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(inverse(X1),X2)),multiply(inverse(X3),X3)) = multiply(inverse(X2),X1) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_25]).
% 0.61/1.02 cnf('0.39.0.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(inverse(X1),X1)),X2) = multiply(inverse(multiply(inverse(X3),X4)),multiply(inverse(multiply(inverse(X4),X3)),X2)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.35.2.0','0.38.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.1','L')]).
% 0.61/1.02 cnf('0.39.0.1',plain,
% 0.61/1.02 ( X2 = multiply(inverse(multiply(inverse(X3),X4)),multiply(inverse(multiply(inverse(X4),X3)),X2)) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.39.0.0','0.37.2.0',theory(equality)]),
% 0.61/1.02 [pos('L','L')]).
% 0.61/1.02 cnf('0.39.1.0',plain,
% 0.61/1.02 ( X2 = multiply(inverse(multiply(inverse(X3),X4)),multiply(inverse(multiply(inverse(X4),X3)),X2)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.39.0.1']),
% 0.61/1.02 [weight('<209,38,35,[0,0,0,2]>')]).
% 0.61/1.02 cnf('0.39.2.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(inverse(X1),X2)),multiply(inverse(multiply(inverse(X2),X1)),X3)) = X3 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_26]).
% 0.61/1.02 cnf('0.40.0.0',plain,
% 0.61/1.02 ( X1 = multiply(inverse(X2),multiply(inverse(multiply(inverse(X2),multiply(inverse(X3),X3))),X1)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.39.2.0','0.37.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.1','L')]).
% 0.61/1.02 cnf('0.40.1.0',plain,
% 0.61/1.02 ( X1 = multiply(inverse(X2),multiply(inverse(multiply(inverse(X2),multiply(inverse(X3),X3))),X1)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.40.0.0']),
% 0.61/1.02 [weight('<209,39,37,[1,0,0,2]>')]).
% 0.61/1.02 cnf('0.40.2.0',plain,
% 0.61/1.02 ( multiply(inverse(X1),multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),X2))),X3)) = X3 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_27]).
% 0.61/1.02 cnf('0.42.0.0',plain,
% 0.61/1.02 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X3)),X2)))) = X3 ),
% 0.61/1.02 inference(interreduction_right,[status(thm)],['0.3.2.0'])).
% 0.61/1.02 cnf('0.42.0.1',plain,
% 0.61/1.02 ( multiply(inverse(inverse(X2)),inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X3)),X2))) = X3 ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.42.0.0','0.35.2.0',theory(equality)]),
% 0.61/1.02 [pos('L','L')]).
% 0.61/1.02 cnf('0.42.1.0',plain,
% 0.61/1.02 ( multiply(inverse(inverse(X2)),inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X3)),X2))) = X3 ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.42.0.1']),
% 0.61/1.02 [weight('<239,3,35,[0,0,0,0]>')]).
% 0.61/1.02 cnf('0.42.2.0',plain,
% 0.61/1.02 ( multiply(inverse(inverse(X1)),inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1))) = X2 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_29]).
% 0.61/1.02 cnf('0.43.0.0',plain,
% 0.61/1.02 ( inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,X3)))),X1)) = X3 ),
% 0.61/1.02 inference(interreduction_right,[status(thm)],['0.7.2.0'])).
% 0.61/1.02 cnf('0.43.0.1',plain,
% 0.61/1.02 ( inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X1)),X3))),X1)) = X3 ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.43.0.0','0.35.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.1.2.1','L')]).
% 0.61/1.02 cnf('0.43.1.0',plain,
% 0.61/1.02 ( inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X1)),X3))),X1)) = X3 ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.43.0.1']),
% 0.61/1.02 [weight('<239,7,35,[0,0,0,0]>')]).
% 0.61/1.02 cnf('0.43.2.0',plain,
% 0.61/1.02 ( inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X1)),X2))),X1)) = X2 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_30]).
% 0.61/1.02 cnf('0.44.0.0',plain,
% 0.61/1.02 ( X1 = multiply(X2,multiply(inverse(multiply(inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(inverse(X3)),X2))),X3)),multiply(inverse(X4),X4))),X1)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.40.2.0','0.43.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1','L')]).
% 0.61/1.02 cnf('0.44.0.1',plain,
% 0.61/1.02 ( X1 = multiply(X2,multiply(inverse(multiply(X2,multiply(inverse(X4),X4))),X1)) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.44.0.0','0.43.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2.1.1.1','L')]).
% 0.61/1.02 cnf('0.44.1.0',plain,
% 0.61/1.02 ( X1 = multiply(X2,multiply(inverse(multiply(X2,multiply(inverse(X4),X4))),X1)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.44.0.1']),
% 0.61/1.02 [weight('<155,43,40,[0,0,0,1]>')]).
% 0.61/1.02 cnf('0.44.2.0',plain,
% 0.61/1.02 ( multiply(X1,multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),X3)) = X3 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_31]).
% 0.61/1.02 cnf('0.45.0.0',plain,
% 0.61/1.02 ( multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(multiply(X3,X1)))))) = X3 ),
% 0.61/1.02 inference(interreduction_right,[status(thm)],['0.24.2.0'])).
% 0.61/1.02 cnf('0.45.0.1',plain,
% 0.61/1.02 ( multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X1)),inverse(multiply(X3,X1))))) = X3 ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.45.0.0','0.35.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1','L')]).
% 0.61/1.02 cnf('0.45.1.0',plain,
% 0.61/1.02 ( multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X1)),inverse(multiply(X3,X1))))) = X3 ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.45.0.1']),
% 0.61/1.02 [weight('<239,24,35,[0,0,0,0]>')]).
% 0.61/1.02 cnf('0.45.2.0',plain,
% 0.61/1.02 ( multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,X1))))) = X2 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_32]).
% 0.61/1.02 cnf('0.46.0.0',plain,
% 0.61/1.02 ( inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),X3),X2))))) = X3 ),
% 0.61/1.02 inference(interreduction_right,[status(thm)],['0.25.2.0'])).
% 0.61/1.02 cnf('0.46.0.1',plain,
% 0.61/1.02 ( inverse(multiply(inverse(inverse(X2)),inverse(multiply(multiply(multiply(inverse(X2),X2),X3),X2)))) = X3 ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.46.0.0','0.35.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1','L')]).
% 0.61/1.02 cnf('0.46.1.0',plain,
% 0.61/1.02 ( inverse(multiply(inverse(inverse(X2)),inverse(multiply(multiply(multiply(inverse(X2),X2),X3),X2)))) = X3 ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.46.0.1']),
% 0.61/1.02 [weight('<239,25,35,[0,0,0,0]>')]).
% 0.61/1.02 cnf('0.46.2.0',plain,
% 0.61/1.02 ( inverse(multiply(inverse(inverse(X1)),inverse(multiply(multiply(multiply(inverse(X1),X1),X2),X1)))) = X2 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.61/1.02 [u,rule_33]).
% 0.61/1.02 cnf('0.47.0.0',plain,
% 0.61/1.02 ( X1 = multiply(inverse(inverse(X2)),inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(X1)),X2))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.42.2.0','0.32.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1.1.1','L')]).
% 0.61/1.02 cnf('0.47.1.0',plain,
% 0.61/1.02 ( X1 = multiply(inverse(inverse(X2)),inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(X1)),X2))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.47.0.0']),
% 0.61/1.02 [weight('<239,42,32,[1,0,0,7]>')]).
% 0.61/1.02 cnf('0.47.2.0',plain,
% 0.61/1.02 ( multiply(inverse(inverse(X1)),inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X3)),X1))) = X3 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_34]).
% 0.61/1.02 cnf('0.48.0.0',plain,
% 0.61/1.02 ( X1 = inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X3)),X1))),X3)) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.43.2.0','0.32.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.1.1','L')]).
% 0.61/1.02 cnf('0.48.1.0',plain,
% 0.61/1.02 ( X1 = inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X3)),X1))),X3)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.48.0.0']),
% 0.61/1.02 [weight('<239,43,32,[1,0,0,3]>')]).
% 0.61/1.02 cnf('0.48.2.0',plain,
% 0.61/1.02 ( inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X2)),X3))),X2)) = X3 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_35]).
% 0.61/1.02 cnf('0.49.0.0',plain,
% 0.61/1.02 ( X1 = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X3)),inverse(multiply(X1,X3))))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.45.2.0','0.32.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1','L')]).
% 0.61/1.02 cnf('0.49.1.0',plain,
% 0.61/1.02 ( X1 = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X3)),inverse(multiply(X1,X3))))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.49.0.0']),
% 0.61/1.02 [weight('<239,45,32,[1,0,0,1]>')]).
% 0.61/1.02 cnf('0.49.2.0',plain,
% 0.61/1.02 ( multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X2)),inverse(multiply(X3,X2))))) = X3 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_36]).
% 0.61/1.02 cnf('0.50.0.0',plain,
% 0.61/1.02 ( X1 = inverse(multiply(inverse(inverse(X2)),inverse(multiply(multiply(multiply(inverse(X3),X3),X1),X2)))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.46.2.0','0.32.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.1.2.1.1.1','L')]).
% 0.61/1.02 cnf('0.50.1.0',plain,
% 0.61/1.02 ( X1 = inverse(multiply(inverse(inverse(X2)),inverse(multiply(multiply(multiply(inverse(X3),X3),X1),X2)))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.50.0.0']),
% 0.61/1.02 [weight('<239,46,32,[1,0,0,8]>')]).
% 0.61/1.02 cnf('0.50.2.0',plain,
% 0.61/1.02 ( inverse(multiply(inverse(inverse(X1)),inverse(multiply(multiply(multiply(inverse(X2),X2),X3),X1)))) = X3 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_37]).
% 0.61/1.02 cnf('0.61.0.0',plain,
% 0.61/1.02 ( inverse(X1) = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X1)),inverse(multiply(inverse(X3),X3))))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.49.2.0','0.32.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1.2.1','L')]).
% 0.61/1.02 cnf('0.61.1.0',plain,
% 0.61/1.02 ( inverse(X1) = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X1)),inverse(multiply(inverse(X3),X3))))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.61.0.0']),
% 0.61/1.02 [weight('<287,49,32,[1,0,0,11]>')]).
% 0.61/1.02 cnf('0.61.2.0',plain,
% 0.61/1.02 ( multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X2)),inverse(multiply(inverse(X3),X3))))) = inverse(X2) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_48]).
% 0.61/1.02 cnf('0.62.0.0',plain,
% 0.61/1.02 ( inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X2)),X3))),X2)) = multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(X3),inverse(multiply(inverse(X5),X5))))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.61.2.0','0.48.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1.1.1','L')]).
% 0.61/1.02 cnf('0.62.0.1',plain,
% 0.61/1.02 ( X3 = multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(X3),inverse(multiply(inverse(X5),X5))))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.62.0.0','0.48.2.0',theory(equality)]),
% 0.61/1.02 [pos('L','L')]).
% 0.61/1.02 cnf('0.62.1.0',plain,
% 0.61/1.02 ( X3 = multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(X3),inverse(multiply(inverse(X5),X5))))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.62.0.1']),
% 0.61/1.02 [weight('<239,61,48,[1,0,0,8]>')]).
% 0.61/1.02 cnf('0.62.2.0',plain,
% 0.61/1.02 ( multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),inverse(multiply(inverse(X3),X3))))) = X2 ),
% 0.61/1.02 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 0.61/1.02 [x,rule_49]).
% 0.61/1.02 cnf('0.63.0.0',plain,
% 0.61/1.02 ( inverse(multiply(inverse(X1),X1)) = multiply(X2,inverse(multiply(multiply(X2,inverse(X3)),X3))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.1.2.0','0.62.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1.1','L')]).
% 0.61/1.02 cnf('0.63.1.0',plain,
% 0.61/1.02 ( inverse(multiply(inverse(X1),X1)) = multiply(X2,inverse(multiply(multiply(X2,inverse(X3)),X3))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.63.0.0']),
% 0.61/1.02 [weight('<224,62,1,[0,0,0,4]>')]).
% 0.61/1.02 cnf('0.63.2.0',plain,
% 0.61/1.02 ( inverse(multiply(inverse(X1),X1)) = multiply(X2,inverse(multiply(multiply(X2,inverse(X3)),X3))) ),
% 0.61/1.02 inference(activate,[status(thm)],['0.63.1.0']),
% 0.61/1.02 [equation_14]).
% 0.61/1.02 cnf('0.63.2.1',plain,
% 0.61/1.02 ( inverse(multiply(inverse(X1),X1)) = multiply(c3,inverse(multiply(multiply(c3,inverse(c3)),c3))) ),
% 0.61/1.02 inference(instr,[status(thm)],['0.63.2.0',theory(equality)])).
% 0.61/1.02 cnf('0.63.2.2',plain,
% 0.61/1.02 ( inverse(multiply(inverse(c3),c3)) = multiply(X1,inverse(multiply(multiply(X1,inverse(X2)),X2))) ),
% 0.61/1.02 inference(instl,[status(thm)],['0.63.2.0',theory(equality)])).
% 0.61/1.02 cnf('0.65.0.0',plain,
% 0.61/1.02 ( multiply(inverse(X1),X1) = multiply(multiply(inverse(X2),X2),inverse(inverse(multiply(inverse(X3),X3)))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.62.2.0','0.37.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1','L')]).
% 0.61/1.02 cnf('0.65.1.0',plain,
% 0.61/1.02 ( multiply(inverse(X1),X1) = multiply(multiply(inverse(X2),X2),inverse(inverse(multiply(inverse(X3),X3)))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.65.0.0']),
% 0.61/1.02 [weight('<255,62,37,[1,0,0,6]>')]).
% 0.61/1.02 cnf('0.65.2.0',plain,
% 0.61/1.02 ( multiply(inverse(X1),X1) = multiply(multiply(inverse(X2),X2),inverse(inverse(multiply(inverse(X3),X3)))) ),
% 0.61/1.02 inference(activate,[status(thm)],['0.65.1.0']),
% 0.61/1.02 [equation_16]).
% 0.61/1.02 cnf('0.65.2.1',plain,
% 0.61/1.02 ( multiply(inverse(X1),X1) = multiply(multiply(inverse(c3),c3),inverse(inverse(multiply(inverse(c3),c3)))) ),
% 0.61/1.02 inference(instr,[status(thm)],['0.65.2.0',theory(equality)])).
% 0.61/1.02 cnf('0.65.2.2',plain,
% 0.61/1.02 ( multiply(inverse(c3),c3) = multiply(multiply(inverse(X1),X1),inverse(inverse(multiply(inverse(X2),X2)))) ),
% 0.61/1.02 inference(instl,[status(thm)],['0.65.2.0',theory(equality)])).
% 0.61/1.02 cnf('0.66.0.0',plain,
% 0.61/1.02 ( multiply(inverse(X1),X1) = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(inverse(inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(X4),X4))))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.49.2.0','0.65.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1.2.1','R')]).
% 0.61/1.02 cnf('0.66.0.1',plain,
% 0.61/1.02 ( multiply(inverse(X1),X1) = inverse(inverse(inverse(multiply(inverse(X3),X3)))) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.66.0.0','0.62.2.0',theory(equality)]),
% 0.61/1.02 [pos('R','L')]).
% 0.61/1.02 cnf('0.66.1.0',plain,
% 0.61/1.02 ( multiply(inverse(X1),X1) = inverse(inverse(inverse(multiply(inverse(X3),X3)))) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.66.0.1']),
% 0.61/1.02 [weight('<143,65,49,[0,1,0,11]>')]).
% 0.61/1.02 cnf('0.66.2.0',plain,
% 0.61/1.02 ( multiply(inverse(X1),X1) = inverse(inverse(inverse(multiply(inverse(X2),X2)))) ),
% 0.61/1.02 inference(activate,[status(thm)],['0.66.1.0']),
% 0.61/1.02 [equation_17]).
% 0.61/1.02 cnf('0.66.2.1',plain,
% 0.61/1.02 ( multiply(inverse(X1),X1) = inverse(inverse(inverse(multiply(inverse(c3),c3)))) ),
% 0.61/1.02 inference(instr,[status(thm)],['0.66.2.0',theory(equality)])).
% 0.61/1.02 cnf('0.66.2.2',plain,
% 0.61/1.02 ( multiply(inverse(c3),c3) = inverse(inverse(inverse(multiply(inverse(X1),X1)))) ),
% 0.61/1.02 inference(instl,[status(thm)],['0.66.2.0',theory(equality)])).
% 0.61/1.02 cnf('0.67.0.0',plain,
% 0.61/1.02 ( multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X2) = multiply(inverse(inverse(X3)),inverse(multiply(inverse(multiply(inverse(X4),X4)),X3))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.47.2.0','0.63.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1.1','R')]).
% 0.61/1.02 cnf('0.67.0.1',plain,
% 0.61/1.02 ( multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X2) = multiply(inverse(inverse(X3)),inverse(X3)) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.67.0.0','0.37.2.0',theory(equality)]),
% 0.61/1.02 [pos('R.2.1','L')]).
% 0.61/1.02 cnf('0.67.1.0',plain,
% 0.61/1.02 ( multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X2) = multiply(inverse(inverse(X3)),inverse(X3)) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.67.0.1']),
% 0.61/1.02 [weight('<255,63,47,[0,1,0,6]>')]).
% 0.61/1.02 cnf('0.67.1.1',plain,
% 0.61/1.02 ( multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X2) = multiply(inverse(c3),c3) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.67.1.0','0.32.2.1',theory(equality)]),
% 0.61/1.02 [pos('R','L')]).
% 0.61/1.02 cnf('0.67.2.0',plain,
% 0.61/1.02 ( multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X2) = multiply(inverse(c3),c3) ),
% 0.61/1.02 inference(orient,[status(thm)],['0.67.1.1',theory(equality)]),
% 0.61/1.02 [u,rule_50]).
% 0.61/1.02 cnf('0.68.0.0',plain,
% 0.61/1.02 ( multiply(multiply(inverse(X1),X1),inverse(X2)) = multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(inverse(X2)),inverse(multiply(inverse(c3),c3))))) ),
% 0.61/1.02 inference(cp,[status(thm)],['0.49.2.0','0.67.2.0',theory(equality)]),
% 0.61/1.02 [pos('L.2.1.2.1','L')]).
% 0.61/1.02 cnf('0.68.0.1',plain,
% 0.61/1.02 ( multiply(multiply(inverse(X1),X1),inverse(X2)) = inverse(X2) ),
% 0.61/1.02 inference(reduction,[status(thm)],['0.68.0.0','0.62.2.0',theory(equality)]),
% 0.61/1.02 [pos('R','L')]).
% 0.61/1.02 cnf('0.68.1.0',plain,
% 0.61/1.02 ( multiply(multiply(inverse(X1),X1),inverse(X2)) = inverse(X2) ),
% 0.61/1.02 inference(weigh,[status(thm)],['0.68.0.1']),
% 0.61/1.02 [weight('<79,67,49,[0,0,0,11]>')]).
% 0.61/1.02 cnf('0.68.2.0',plain,
% 0.61/1.02 ( multiply(multiply(inverse(X1),X1),inverse(X2)) = inverse(X2) ),
% 0.61/1.03 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 0.61/1.03 [u,rule_51]).
% 0.61/1.03 cnf('0.69.0.0',plain,
% 0.61/1.03 ( inverse(multiply(inverse(inverse(X1)),inverse(multiply(multiply(multiply(inverse(X2),X2),X3),X1)))) = multiply(multiply(inverse(X4),X4),X3) ),
% 0.61/1.03 inference(cp,[status(thm)],['0.68.2.0','0.50.2.0',theory(equality)]),
% 0.61/1.03 [pos('L.2','L')]).
% 0.61/1.03 cnf('0.69.0.1',plain,
% 0.61/1.03 ( X3 = multiply(multiply(inverse(X4),X4),X3) ),
% 0.61/1.03 inference(reduction,[status(thm)],['0.69.0.0','0.50.2.0',theory(equality)]),
% 0.61/1.03 [pos('L','L')]).
% 0.61/1.03 cnf('0.69.1.0',plain,
% 0.61/1.03 ( X3 = multiply(multiply(inverse(X4),X4),X3) ),
% 0.61/1.03 inference(weigh,[status(thm)],['0.69.0.1']),
% 0.61/1.03 [weight('<55,68,50,[1,0,0,5]>')]).
% 0.61/1.03 cnf('0.69.2.0',plain,
% 0.61/1.03 ( multiply(multiply(inverse(X1),X1),X2) = X2 ),
% 0.61/1.03 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 0.61/1.03 [x,rule_52]).
% 0.61/1.03 cnf('0.70.0.0',plain,
% 0.61/1.03 ( X1 = multiply(multiply(multiply(inverse(X2),X2),inverse(inverse(multiply(inverse(X3),X3)))),X1) ),
% 0.61/1.03 inference(cp,[status(thm)],['0.69.2.0','0.66.2.0',theory(equality)]),
% 0.61/1.03 [pos('L.1.1','R')]).
% 0.61/1.03 cnf('0.70.0.1',plain,
% 0.61/1.03 ( X1 = multiply(inverse(inverse(multiply(inverse(X3),X3))),X1) ),
% 0.61/1.03 inference(reduction,[status(thm)],['0.70.0.0','0.69.2.0',theory(equality)]),
% 0.61/1.03 [pos('R.1','L')]).
% 0.61/1.03 cnf('0.70.1.0',plain,
% 0.61/1.03 ( X1 = multiply(inverse(inverse(multiply(inverse(X3),X3))),X1) ),
% 0.61/1.03 inference(weigh,[status(thm)],['0.70.0.1']),
% 0.61/1.03 [weight('<89,69,66,[1,0,1,2]>')]).
% 0.61/1.03 cnf('0.70.2.0',plain,
% 0.61/1.03 ( multiply(inverse(inverse(multiply(inverse(X1),X1))),X2) = X2 ),
% 0.61/1.03 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 0.61/1.03 [x,rule_53]).
% 0.61/1.03 cnf('0.71.0.0',plain,
% 0.61/1.03 ( inverse(multiply(inverse(X1),X1)) = multiply(inverse(X2),X2) ),
% 0.61/1.03 inference(cp,[status(thm)],['0.70.2.0','0.32.2.0',theory(equality)]),
% 0.61/1.03 [pos('L','L')]).
% 0.61/1.03 cnf('0.71.1.0',plain,
% 0.61/1.03 ( inverse(multiply(inverse(X1),X1)) = multiply(inverse(X2),X2) ),
% 0.61/1.03 inference(weigh,[status(thm)],['0.71.0.0']),
% 0.61/1.03 [weight('<99,70,32,[1,0,0,0]>')]).
% 0.61/1.03 cnf('0.71.2.0',plain,
% 0.61/1.03 ( inverse(multiply(inverse(X1),X1)) = multiply(inverse(X2),X2) ),
% 0.61/1.03 inference(activate,[status(thm)],['0.71.1.0']),
% 0.61/1.03 [equation_18]).
% 0.61/1.03 cnf('0.71.2.1',plain,
% 0.61/1.03 ( inverse(multiply(inverse(X1),X1)) = multiply(inverse(c3),c3) ),
% 0.61/1.03 inference(instr,[status(thm)],['0.71.2.0',theory(equality)])).
% 0.61/1.03 cnf('0.71.2.2',plain,
% 0.61/1.03 ( inverse(multiply(inverse(c3),c3)) = multiply(inverse(X1),X1) ),
% 0.61/1.03 inference(instl,[status(thm)],['0.71.2.0',theory(equality)])).
% 0.61/1.03 cnf('0.72.0.0',plain,
% 0.61/1.03 ( multiply(inverse(inverse(X1)),inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X3)),X1))) = X3 ),
% 0.61/1.03 inference(interreduction_right,[status(thm)],['0.47.2.0'])).
% 0.61/1.03 cnf('0.72.0.1',plain,
% 0.61/1.03 ( multiply(inverse(inverse(X1)),inverse(multiply(inverse(X3),X1))) = X3 ),
% 0.61/1.03 inference(reduction,[status(thm)],['0.72.0.0','0.68.2.0',theory(equality)]),
% 0.61/1.03 [pos('L.2.1.1','L')]).
% 0.61/1.03 cnf('0.72.1.0',plain,
% 0.61/1.03 ( multiply(inverse(inverse(X1)),inverse(multiply(inverse(X3),X1))) = X3 ),
% 0.61/1.03 inference(weigh,[status(thm)],['0.72.0.1']),
% 0.61/1.03 [weight('<109,47,68,[0,0,0,0]>')]).
% 0.61/1.03 cnf('0.72.2.0',plain,
% 0.61/1.03 ( multiply(inverse(inverse(X1)),inverse(multiply(inverse(X2),X1))) = X2 ),
% 0.61/1.03 inference(orient,[status(thm)],['0.72.1.0',theory(equality)]),
% 0.61/1.03 [u,rule_54]).
% 0.61/1.03 cnf('0.73.0.0',plain,
% 0.61/1.03 ( X1 = multiply(inverse(inverse(X1)),multiply(inverse(X2),X2)) ),
% 0.61/1.03 inference(cp,[status(thm)],['0.72.2.0','0.71.2.0',theory(equality)]),
% 0.61/1.03 [pos('L.2','L')]).
% 0.61/1.03 cnf('0.73.1.0',plain,
% 0.61/1.03 ( X1 = multiply(inverse(inverse(X1)),multiply(inverse(X2),X2)) ),
% 0.61/1.03 inference(weigh,[status(thm)],['0.73.0.0']),
% 0.61/1.03 [weight('<89,72,71,[1,0,0,4]>')]).
% 0.61/1.03 cnf('0.73.2.0',plain,
% 0.61/1.03 ( multiply(inverse(inverse(X1)),multiply(inverse(X2),X2)) = X1 ),
% 0.61/1.03 inference(orient,[status(thm)],['0.73.1.0',theory(equality)]),
% 0.61/1.03 [x,rule_55]).
% 0.61/1.03 cnf('0.74.0.0',plain,
% 0.61/1.03 ( X1 = multiply(inverse(inverse(X2)),multiply(inverse(X2),X1)) ),
% 0.61/1.03 inference(cp,[status(thm)],['0.44.2.0','0.73.2.0',theory(equality)]),
% 0.61/1.03 [pos('L.2.1.1','L')]).
% 0.61/1.03 cnf('0.74.1.0',plain,
% 0.61/1.03 ( X1 = multiply(inverse(inverse(X2)),multiply(inverse(X2),X1)) ),
% 0.61/1.03 inference(weigh,[status(thm)],['0.74.0.0']),
% 0.61/1.03 [weight('<89,73,44,[0,0,0,4]>')]).
% 0.61/1.03 cnf('0.74.2.0',plain,
% 0.61/1.03 ( multiply(inverse(inverse(X1)),multiply(inverse(X1),X2)) = X2 ),
% 0.61/1.03 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 0.61/1.03 [x,rule_56]).
% 0.61/1.03 cnf('0.75.0.0',plain,
% 0.61/1.03 ( multiply(inverse(X1),X2) = multiply(inverse(inverse(inverse(X1))),X2) ),
% 0.61/1.03 inference(cp,[status(thm)],['0.74.2.0','0.74.2.0',theory(equality)]),
% 0.61/1.03 [pos('L.2','L')]).
% 0.61/1.03 cnf('0.75.1.0',plain,
% 0.61/1.03 ( multiply(inverse(X1),X2) = multiply(inverse(inverse(inverse(X1))),X2) ),
% 0.61/1.03 inference(weigh,[status(thm)],['0.75.0.0']),
% 0.61/1.03 [weight('<76,74,74,[0,0,0,4]>')]).
% 0.61/1.03 cnf('0.75.2.0',plain,
% 0.61/1.03 ( multiply(inverse(inverse(inverse(X1))),X2) = multiply(inverse(X1),X2) ),
% 0.61/1.03 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 0.61/1.03 [x,rule_57]).
% 0.61/1.03 cnf('0.76.0.0',plain,
% 0.61/1.03 ( inverse(inverse(X1)) = multiply(inverse(inverse(X2)),inverse(multiply(inverse(X1),X2))) ),
% 0.61/1.03 inference(cp,[status(thm)],['0.72.2.0','0.75.2.0',theory(equality)]),
% 0.61/1.03 [pos('L.2.1','L')]).
% 0.61/1.03 cnf('0.76.0.1',plain,
% 0.61/1.03 ( inverse(inverse(X1)) = X1 ),
% 0.61/1.03 inference(reduction,[status(thm)],['0.76.0.0','0.72.2.0',theory(equality)]),
% 0.61/1.03 [pos('R','L')]).
% 0.61/1.03 cnf('0.76.1.0',plain,
% 0.61/1.03 ( inverse(inverse(X1)) = X1 ),
% 0.61/1.03 inference(weigh,[status(thm)],['0.76.0.1']),
% 0.61/1.03 [weight('<19,75,72,[0,0,0,5]>')]).
% 0.61/1.03 cnf('0.76.2.0',plain,
% 0.61/1.03 ( inverse(inverse(X1)) = X1 ),
% 0.61/1.03 inference(orient,[status(thm)],['0.76.1.0',theory(equality)]),
% 0.61/1.03 [u,rule_58]).
% 0.61/1.03 cnf('0.77.0.0',plain,
% 0.61/1.03 ( multiply(inverse(inverse(X1)),multiply(inverse(X2),X2)) = X1 ),
% 0.61/1.03 inference(interreduction_right,[status(thm)],['0.73.2.0'])).
% 0.61/1.03 cnf('0.77.0.1',plain,
% 0.61/1.03 ( multiply(X1,multiply(inverse(X2),X2)) = X1 ),
% 0.61/1.03 inference(reduction,[status(thm)],['0.77.0.0','0.76.2.0',theory(equality)]),
% 0.61/1.03 [pos('L.1','L')]).
% 0.61/1.03 cnf('0.77.1.0',plain,
% 0.61/1.03 ( multiply(X1,multiply(inverse(X2),X2)) = X1 ),
% 0.61/1.03 inference(weigh,[status(thm)],['0.77.0.1']),
% 0.61/1.03 [weight('<55,73,76,[0,0,0,0]>')]).
% 0.61/1.03 cnf('0.77.2.0',plain,
% 0.61/1.03 ( multiply(X1,multiply(inverse(X2),X2)) = X1 ),
% 0.61/1.03 inference(orient,[status(thm)],['0.77.1.0',theory(equality)]),
% 0.61/1.03 [u,rule_59]).
% 0.61/1.03 cnf('0.78.0.0',plain,
% 0.61/1.03 ( multiply(X1,multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),X3)) = X3 ),
% 0.61/1.03 inference(interreduction_right,[status(thm)],['0.44.2.0'])).
% 0.61/1.03 cnf('0.78.0.1',plain,
% 0.61/1.03 ( multiply(X1,multiply(inverse(X1),X3)) = X3 ),
% 0.61/1.03 inference(reduction,[status(thm)],['0.78.0.0','0.77.2.0',theory(equality)]),
% 0.61/1.03 [pos('L.2.1.1','L')]).
% 0.61/1.03 cnf('0.78.1.0',plain,
% 0.61/1.03 ( multiply(X1,multiply(inverse(X1),X3)) = X3 ),
% 0.61/1.03 inference(weigh,[status(thm)],['0.78.0.1']),
% 0.61/1.03 [weight('<55,44,77,[0,0,0,0]>')]).
% 0.61/1.03 cnf('0.78.2.0',plain,
% 0.61/1.03 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.61/1.03 inference(orient,[status(thm)],['0.78.1.0',theory(equality)]),
% 0.61/1.03 [u,rule_60]).
% 0.61/1.03 cnf('0.80.0.0',plain,
% 0.61/1.03 ( X1 = multiply(X1,multiply(X2,inverse(X2))) ),
% 0.61/1.03 inference(cp,[status(thm)],['0.77.2.0','0.76.2.0',theory(equality)]),
% 0.61/1.03 [pos('L.2.1','L')]).
% 0.61/1.03 cnf('0.80.1.0',plain,
% 0.61/1.03 ( X1 = multiply(X1,multiply(X2,inverse(X2))) ),
% 0.61/1.03 inference(weigh,[status(thm)],['0.80.0.0']),
% 0.61/1.03 [weight('<55,77,76,[1,0,0,3]>')]).
% 0.61/1.03 cnf('0.80.2.0',plain,
% 0.61/1.03 ( multiply(X1,multiply(X2,inverse(X2))) = X1 ),
% 0.61/1.03 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 0.61/1.03 [x,rule_62]).
% 0.61/1.03 cnf('0.83.0.0',plain,
% 0.61/1.03 ( inverse(multiply(X1,X2)) = multiply(inverse(X2),inverse(X1)) ),
% 0.61/1.03 inference(cp,[status(thm)],['0.80.2.0','0.35.2.0',theory(equality)]),
% 0.61/1.03 [pos('L','L')]).
% 0.61/1.03 cnf('0.83.1.0',plain,
% 0.61/1.03 ( inverse(multiply(X1,X2)) = multiply(inverse(X2),inverse(X1)) ),
% 0.61/1.03 inference(weigh,[status(thm)],['0.83.0.0']),
% 0.61/1.03 [weight('<59,80,35,[1,0,0,0]>')]).
% 0.61/1.03 cnf('0.83.2.0',plain,
% 0.61/1.03 ( multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)) ),
% 0.61/1.03 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 0.61/1.03 [x,rule_65]).
% 0.61/1.03 cnf('0.88.0.0',plain,
% 0.61/1.03 ( inverse(X1) = multiply(X2,inverse(multiply(X1,X2))) ),
% 0.61/1.03 inference(cp,[status(thm)],['0.78.2.0','0.83.2.0',theory(equality)]),
% 0.61/1.03 [pos('L.2','L')]).
% 0.61/1.03 cnf('0.88.1.0',plain,
% 0.61/1.03 ( inverse(X1) = multiply(X2,inverse(multiply(X1,X2))) ),
% 0.61/1.03 inference(weigh,[status(thm)],['0.88.0.0']),
% 0.61/1.03 [weight('<62,83,78,[0,0,0,2]>')]).
% 0.61/1.03 cnf('0.88.2.0',plain,
% 0.61/1.03 ( multiply(X1,inverse(multiply(X2,X1))) = inverse(X2) ),
% 0.61/1.03 inference(orient,[status(thm)],['0.88.1.0',theory(equality)]),
% 0.61/1.03 [x,rule_70]).
% 0.61/1.03 cnf('0.89.0.0',plain,
% 0.61/1.03 ( multiply(inverse(inverse(multiply(X1,X2))),X3) = multiply(inverse(inverse(X1)),multiply(X2,X3)) ),
% 0.61/1.03 inference(cp,[status(thm)],['0.35.2.0','0.88.2.0',theory(equality)]),
% 0.61/1.03 [pos('L.1.1','L')]).
% 0.61/1.03 cnf('0.89.0.1',plain,
% 0.61/1.03 ( multiply(multiply(X1,X2),X3) = multiply(inverse(inverse(X1)),multiply(X2,X3)) ),
% 0.61/1.03 inference(reduction,[status(thm)],['0.89.0.0','0.76.2.0',theory(equality)]),
% 0.61/1.03 [pos('L.1','L')]).
% 0.61/1.03 cnf('0.89.0.2',plain,
% 0.61/1.03 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.61/1.03 inference(reduction,[status(thm)],['0.89.0.1','0.76.2.0',theory(equality)]),
% 0.61/1.03 [pos('R.1','L')]).
% 0.61/1.03 cnf('0.89.1.0',plain,
% 0.61/1.03 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.61/1.03 inference(weigh,[status(thm)],['0.89.0.2']),
% 0.61/1.03 [weight('<65,88,35,[0,0,0,2]>')]).
% 0.61/1.03 cnf('0.89.2.0',plain,
% 0.61/1.03 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.61/1.03 inference(orient,[status(thm)],['0.89.1.0',theory(equality)]),
% 0.61/1.03 [u,rule_71]).
% 0.61/1.03 cnf('1.0.0.0',conjecture,
% 0.61/1.03 ( multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.61/1.03 file('/tmp/WALDMEISTER_17003_n021',conjecture_1)).
% 0.61/1.03 cnf('1.0.0.1',plain,
% 0.61/1.03 ( multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)) ),
% 0.61/1.03 inference(reduction,[status(thm)],['1.0.0.0','0.89.2.0',theory(equality)]),
% 0.61/1.03 [pos('L','L')]).
% 0.61/1.03 cnf('1.0.0.2',plain,
% 0.61/1.03 ( $true ),
% 0.61/1.03 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.61/1.03 [conjecture_1]).
% 0.61/1.03
% 0.61/1.03 Proved Goals:
% 0.61/1.03 No. 1: multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) joined, current: multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3))
% 0.61/1.03 1 goal was specified, which was proved.
% 0.61/1.03 % SZS output end CNFRefutation
% 0.61/1.03 #END OF PROOF
% 0.61/1.03
% 0.61/1.03 Problem WALDMEISTER_17003_n021
% 0.61/1.03 CPs.gen 7121
% 0.61/1.03 CPs.reexp 0
% 0.61/1.03 Select 418
% 0.61/1.03 R 71
% 0.61/1.03 E 18
% 0.61/1.03 vsize 6.4M
% 0.61/1.03 rss 3.8M
% 0.61/1.03 process.time 0.070s
% 0.61/1.03 wallclock.time 0.070s
% 0.61/1.03 status S
% 0.61/1.03
% 0.61/1.03
% 0.61/1.03 Waldmeister states: Goal proved.
% 0.61/1.03 % SZS status Unsatisfiable
%------------------------------------------------------------------------------