TSTP Solution File: GRP418-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP418-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 12:26:11 EDT 2022
% Result : Unsatisfiable 0.67s 1.05s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP418-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : woody %s
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 14 08:30:41 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.67/1.05 ********************************************************************************
% 0.67/1.05 * W A L D M E I S T E R \| \ / \|/ *
% 0.67/1.05 * |/ | \/ | *
% 0.67/1.05 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.67/1.05 * A. Jaeger and B. Loechner | | *
% 0.67/1.05 * <waldmeister@informatik.uni-kl.de> | *
% 0.67/1.05 ********************************************************************************
% 0.67/1.05
% 0.67/1.05
% 0.67/1.05 Goals:
% 0.67/1.05 ------
% 0.67/1.05
% 0.67/1.05 ( 1) multiply(inverse(a1),a1) ?=? multiply(inverse(b1),b1)
% 0.67/1.05
% 0.67/1.05 Detected structure: Orkus
% 0.67/1.05 ********************************************************************************
% 0.67/1.05 ****************************** COMPLETION - PROOF ******************************
% 0.67/1.05 ********************************************************************************
% 0.67/1.05
% 0.67/1.05 joined goal: 1 multiply(inverse(a1),a1) ?= multiply(inverse(b1),b1) to multiply(inverse(multiply(b1,inverse(multiply(b1,inverse(multiply(inverse(b1),b1)))))),multiply(b1,inverse(multiply(b1,inverse(multiply(inverse(b1),b1))))))
% 0.67/1.05 goal joined
% 0.67/1.05 % SZS status Unsatisfiable
% 0.67/1.05 #START OF PROOF
% 0.67/1.05 % SZS output start CNFRefutation
% 0.67/1.05 cnf('0.1.0.0',axiom,
% 0.67/1.05 ( X1 = inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X2,X3))) ),
% 0.67/1.05 file('/tmp/WALDMEISTER_12339_n006')).
% 0.67/1.05 cnf('0.1.1.0',plain,
% 0.67/1.05 ( X1 = inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X2,X3))) ),
% 0.67/1.05 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.67/1.05 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.67/1.05 cnf('0.1.2.0',plain,
% 0.67/1.05 ( inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3))) = X2 ),
% 0.67/1.05 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.67/1.05 [x,rule_1]).
% 0.67/1.05 cnf('0.2.0.0',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) = inverse(multiply(inverse(multiply(X4,inverse(multiply(X2,inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X4,X5))) ),
% 0.67/1.05 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.67/1.05 [pos('L.1.1.1.2.1.1','L')]).
% 0.67/1.05 cnf('0.2.1.0',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) = inverse(multiply(inverse(multiply(X4,inverse(multiply(X2,inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X4,X5))) ),
% 0.67/1.05 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.67/1.05 [weight('<?,1,1,[0,0,0,7]>')]).
% 0.67/1.05 cnf('0.2.2.0',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) = inverse(multiply(inverse(multiply(X4,inverse(multiply(X2,inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X4,X5))) ),
% 0.67/1.05 inference(activate,[status(thm)],['0.2.1.0']),
% 0.67/1.05 [equation_1]).
% 0.67/1.05 cnf('0.2.2.1',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) = inverse(multiply(inverse(multiply(b1,inverse(multiply(X2,inverse(multiply(b1,inverse(multiply(inverse(b1),b1)))))))),multiply(b1,b1))) ),
% 0.67/1.05 inference(instr,[status(thm)],['0.2.2.0',theory(equality)])).
% 0.67/1.05 cnf('0.2.2.2',plain,
% 0.67/1.05 ( multiply(inverse(multiply(b1,inverse(multiply(inverse(X2),inverse(multiply(b1,inverse(multiply(inverse(b1),b1)))))))),multiply(b1,b1)) = inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3))) ),
% 0.67/1.05 inference(instl,[status(thm)],['0.2.2.0',theory(equality)])).
% 0.67/1.05 cnf('0.3.0.0',plain,
% 0.67/1.05 ( inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3))) = X2 ),
% 0.67/1.05 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.67/1.05 cnf('0.3.1.0',plain,
% 0.67/1.05 ( inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3))) = X2 ),
% 0.67/1.05 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.67/1.05 [weight('<461,1,2,[0,0,0,0]>')]).
% 0.67/1.05 cnf('0.3.1.1',plain,
% 0.67/1.05 ( multiply(inverse(multiply(b1,inverse(multiply(inverse(inverse(X2)),inverse(multiply(b1,inverse(multiply(inverse(b1),b1)))))))),multiply(b1,b1)) = X2 ),
% 0.67/1.05 inference(reduction,[status(thm)],['0.3.1.0','0.2.2.2',theory(equality)]),
% 0.67/1.05 [pos('L','R')]).
% 0.67/1.05 cnf('0.3.2.0',plain,
% 0.67/1.05 ( multiply(inverse(multiply(b1,inverse(multiply(inverse(inverse(X1)),inverse(multiply(b1,inverse(multiply(inverse(b1),b1)))))))),multiply(b1,b1)) = X1 ),
% 0.67/1.05 inference(orient,[status(thm)],['0.3.1.1',theory(equality)]),
% 0.67/1.05 [u,rule_2]).
% 0.67/1.05 cnf('0.5.0.0',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X2),inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X4,X5)) ),
% 0.67/1.05 inference(cp,[status(thm)],['0.2.2.0','0.2.2.0',theory(equality)]),
% 0.67/1.05 [pos('R','R')]).
% 0.67/1.05 cnf('0.5.1.0',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X2),inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X4,X5)) ),
% 0.67/1.05 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.67/1.05 [weight('<1520,2,2,[1,1,1,0]>')]).
% 0.67/1.05 cnf('0.5.2.0',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X2),inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X4,X5)) ),
% 0.67/1.05 inference(activate,[status(thm)],['0.5.1.0']),
% 0.67/1.05 [equation_2]).
% 0.67/1.05 cnf('0.5.2.1',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) = multiply(inverse(multiply(b1,inverse(multiply(inverse(X2),inverse(multiply(b1,inverse(multiply(inverse(b1),b1)))))))),multiply(b1,b1)) ),
% 0.67/1.05 inference(instr,[status(thm)],['0.5.2.0',theory(equality)])).
% 0.67/1.05 cnf('0.5.2.2',plain,
% 0.67/1.05 ( multiply(inverse(multiply(b1,inverse(multiply(inverse(X2),inverse(multiply(b1,inverse(multiply(inverse(b1),b1)))))))),multiply(b1,b1)) = multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) ),
% 0.67/1.05 inference(instl,[status(thm)],['0.5.2.0',theory(equality)])).
% 0.67/1.05 cnf('0.6.0.0',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) = X2 ),
% 0.67/1.05 inference(cp,[status(thm)],['0.5.2.0','0.3.2.0',theory(equality)]),
% 0.67/1.05 [pos('L','L')]).
% 0.67/1.05 cnf('0.6.1.0',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) = X2 ),
% 0.67/1.05 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.67/1.05 [weight('<461,5,3,[1,0,0,0]>')]).
% 0.67/1.05 cnf('0.6.2.0',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) = X2 ),
% 0.67/1.05 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.67/1.05 [u,rule_4]).
% 0.67/1.05 cnf('0.7.0.0',plain,
% 0.67/1.05 ( X1 = multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(X3)),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),inverse(multiply(inverse(inverse(X1)),inverse(multiply(multiply(X2,X4),inverse(multiply(inverse(multiply(X2,X4)),multiply(X2,X4))))))))),X3) ),
% 0.67/1.05 inference(cp,[status(thm)],['0.6.2.0','0.6.2.0',theory(equality)]),
% 0.67/1.05 [pos('L.2','L')]).
% 0.67/1.05 cnf('0.7.1.0',plain,
% 0.67/1.05 ( X1 = multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(X3)),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),inverse(multiply(inverse(inverse(X1)),inverse(multiply(multiply(X2,X4),inverse(multiply(inverse(multiply(X2,X4)),multiply(X2,X4))))))))),X3) ),
% 0.67/1.05 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.67/1.05 [weight('<1639,6,6,[0,0,0,17]>')]).
% 0.67/1.05 cnf('0.7.2.0',plain,
% 0.67/1.05 ( multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),inverse(multiply(inverse(inverse(X4)),inverse(multiply(multiply(X1,X3),inverse(multiply(inverse(multiply(X1,X3)),multiply(X1,X3))))))))),X2) = X4 ),
% 0.67/1.05 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.67/1.05 [x,rule_5]).
% 0.67/1.05 cnf('0.8.0.0',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),inverse(multiply(inverse(inverse(X5)),inverse(multiply(multiply(X2,X4),inverse(multiply(inverse(multiply(X2,X4)),multiply(X2,X4)))))))))),inverse(multiply(X6,inverse(multiply(inverse(X6),X6)))))))),multiply(X1,X6)) = inverse(multiply(inverse(multiply(X7,inverse(X5))),multiply(X7,X3))) ),
% 0.67/1.05 inference(cp,[status(thm)],['0.2.2.0','0.7.2.0',theory(equality)]),
% 0.67/1.05 [pos('R.1.1.1.2.1','L')]).
% 0.67/1.05 cnf('0.8.0.1',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),inverse(multiply(inverse(inverse(X5)),inverse(multiply(multiply(X2,X4),inverse(multiply(inverse(multiply(X2,X4)),multiply(X2,X4)))))))) = inverse(multiply(inverse(multiply(X7,inverse(X5))),multiply(X7,X3))) ),
% 0.67/1.05 inference(reduction,[status(thm)],['0.8.0.0','0.6.2.0',theory(equality)]),
% 0.67/1.05 [pos('L','L')]).
% 0.67/1.05 cnf('0.8.1.0',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),inverse(multiply(inverse(inverse(X5)),inverse(multiply(multiply(X2,X4),inverse(multiply(inverse(multiply(X2,X4)),multiply(X2,X4)))))))) = inverse(multiply(inverse(multiply(X7,inverse(X5))),multiply(X7,X3))) ),
% 0.67/1.05 inference(weigh,[status(thm)],['0.8.0.1']),
% 0.67/1.05 [weight('<2915,7,2,[0,0,1,6]>')]).
% 0.67/1.05 cnf('0.8.2.0',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),inverse(multiply(inverse(inverse(X4)),inverse(multiply(multiply(X1,X3),inverse(multiply(inverse(multiply(X1,X3)),multiply(X1,X3)))))))) = inverse(multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,X2))) ),
% 0.67/1.05 inference(activate,[status(thm)],['0.8.1.0']),
% 0.67/1.05 [equation_3]).
% 0.67/1.05 cnf('0.8.2.1',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),inverse(multiply(inverse(inverse(X4)),inverse(multiply(multiply(X1,X3),inverse(multiply(inverse(multiply(X1,X3)),multiply(X1,X3)))))))) = inverse(multiply(inverse(multiply(b1,inverse(X4))),multiply(b1,X2))) ),
% 0.67/1.05 inference(instr,[status(thm)],['0.8.2.0',theory(equality)])).
% 0.67/1.05 cnf('0.8.2.2',plain,
% 0.67/1.05 ( multiply(inverse(multiply(b1,inverse(multiply(inverse(inverse(inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))),inverse(multiply(b1,inverse(multiply(inverse(b1),b1)))))))),inverse(multiply(inverse(inverse(X2)),inverse(multiply(multiply(b1,b1),inverse(multiply(inverse(multiply(b1,b1)),multiply(b1,b1)))))))) = inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3))) ),
% 0.67/1.05 inference(instl,[status(thm)],['0.8.2.0',theory(equality)])).
% 0.67/1.05 cnf('0.9.0.0',plain,
% 0.67/1.05 ( inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3))) = inverse(multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X3))) ),
% 0.67/1.05 inference(cp,[status(thm)],['0.8.2.0','0.8.2.0',theory(equality)]),
% 0.67/1.05 [pos('L','L')]).
% 0.67/1.05 cnf('0.9.1.0',plain,
% 0.67/1.05 ( inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3))) = inverse(multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X3))) ),
% 0.67/1.05 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.67/1.05 [weight('<440,8,8,[1,0,0,0]>')]).
% 0.67/1.05 cnf('0.9.2.0',plain,
% 0.67/1.05 ( inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3))) = inverse(multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X3))) ),
% 0.67/1.05 inference(activate,[status(thm)],['0.9.1.0']),
% 0.67/1.05 [equation_4]).
% 0.67/1.05 cnf('0.9.2.1',plain,
% 0.67/1.05 ( inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3))) = inverse(multiply(inverse(multiply(b1,inverse(X2))),multiply(b1,X3))) ),
% 0.67/1.05 inference(instr,[status(thm)],['0.9.2.0',theory(equality)])).
% 0.67/1.05 cnf('0.9.2.2',plain,
% 0.67/1.05 ( inverse(multiply(inverse(multiply(b1,inverse(X2))),multiply(b1,X3))) = inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3))) ),
% 0.67/1.05 inference(instl,[status(thm)],['0.9.2.0',theory(equality)])).
% 0.67/1.05 cnf('0.10.0.0',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(multiply(X4,inverse(multiply(inverse(inverse(multiply(inverse(multiply(X5,inverse(X2))),multiply(X5,X3)))),inverse(multiply(X6,inverse(multiply(inverse(X6),X6)))))))),multiply(X4,X6)) ),
% 0.67/1.05 inference(cp,[status(thm)],['0.6.2.0','0.9.2.0',theory(equality)]),
% 0.67/1.05 [pos('L.1.1.2.1.1.1','L')]).
% 0.67/1.05 cnf('0.10.0.1',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(multiply(X5,inverse(X2))),multiply(X5,X3)) ),
% 0.67/1.05 inference(reduction,[status(thm)],['0.10.0.0','0.6.2.0',theory(equality)]),
% 0.67/1.05 [pos('R','L')]).
% 0.67/1.05 cnf('0.10.1.0',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(multiply(X5,inverse(X2))),multiply(X5,X3)) ),
% 0.67/1.05 inference(weigh,[status(thm)],['0.10.0.1']),
% 0.67/1.05 [weight('<360,9,6,[0,0,0,7]>')]).
% 0.67/1.05 cnf('0.10.2.0',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X3)) ),
% 0.67/1.05 inference(activate,[status(thm)],['0.10.1.0']),
% 0.67/1.05 [equation_5]).
% 0.67/1.05 cnf('0.10.2.1',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(multiply(b1,inverse(X2))),multiply(b1,X3)) ),
% 0.67/1.05 inference(instr,[status(thm)],['0.10.2.0',theory(equality)])).
% 0.67/1.05 cnf('0.10.2.2',plain,
% 0.67/1.05 ( multiply(inverse(multiply(b1,inverse(X2))),multiply(b1,X3)) = multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) ),
% 0.67/1.05 inference(instl,[status(thm)],['0.10.2.0',theory(equality)])).
% 0.67/1.05 cnf('0.11.0.0',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) = multiply(inverse(inverse(multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X5)))),multiply(inverse(multiply(X6,inverse(multiply(inverse(inverse(inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))),inverse(multiply(X7,inverse(multiply(inverse(X7),X7)))))))),multiply(X6,X7))) ),
% 0.67/1.05 inference(cp,[status(thm)],['0.5.2.0','0.8.2.0',theory(equality)]),
% 0.67/1.05 [pos('L.1.1','L')]).
% 0.67/1.05 cnf('0.11.0.1',plain,
% 0.67/1.05 ( X2 = multiply(inverse(inverse(multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X5)))),multiply(inverse(multiply(X6,inverse(multiply(inverse(inverse(inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))),inverse(multiply(X7,inverse(multiply(inverse(X7),X7)))))))),multiply(X6,X7))) ),
% 0.67/1.05 inference(reduction,[status(thm)],['0.11.0.0','0.6.2.0',theory(equality)]),
% 0.67/1.05 [pos('L','L')]).
% 0.67/1.05 cnf('0.11.0.2',plain,
% 0.67/1.05 ( X2 = multiply(inverse(inverse(multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X5)))),inverse(multiply(X5,inverse(multiply(inverse(X5),X5))))) ),
% 0.67/1.05 inference(reduction,[status(thm)],['0.11.0.1','0.6.2.0',theory(equality)]),
% 0.67/1.05 [pos('R.2','L')]).
% 0.67/1.05 cnf('0.11.1.0',plain,
% 0.67/1.05 ( X2 = multiply(inverse(inverse(multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X5)))),inverse(multiply(X5,inverse(multiply(inverse(X5),X5))))) ),
% 0.67/1.05 inference(weigh,[status(thm)],['0.11.0.2']),
% 0.67/1.05 [weight('<461,8,5,[0,0,0,2]>')]).
% 0.67/1.05 cnf('0.11.2.0',plain,
% 0.67/1.05 ( multiply(inverse(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)))),inverse(multiply(X3,inverse(multiply(inverse(X3),X3))))) = X2 ),
% 0.67/1.05 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.67/1.05 [x,rule_6]).
% 0.67/1.05 cnf('0.13.0.0',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))),multiply(X1,X3)) = multiply(inverse(X4),multiply(inverse(inverse(multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,X2)))),X3)) ),
% 0.67/1.05 inference(cp,[status(thm)],['0.10.2.0','0.11.2.0',theory(equality)]),
% 0.67/1.05 [pos('L.1.1','L')]).
% 0.67/1.05 cnf('0.13.1.0',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))),multiply(X1,X3)) = multiply(inverse(X4),multiply(inverse(inverse(multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,X2)))),X3)) ),
% 0.67/1.05 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.67/1.05 [weight('<1023,11,10,[0,0,0,2]>')]).
% 0.67/1.05 cnf('0.13.2.0',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))),multiply(X1,X3)) = multiply(inverse(X4),multiply(inverse(inverse(multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,X2)))),X3)) ),
% 0.67/1.05 inference(activate,[status(thm)],['0.13.1.0']),
% 0.67/1.05 [equation_7]).
% 0.67/1.05 cnf('0.13.2.1',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))),multiply(X1,X3)) = multiply(inverse(b1),multiply(inverse(inverse(multiply(inverse(multiply(b1,inverse(b1))),multiply(b1,X2)))),X3)) ),
% 0.67/1.05 inference(instr,[status(thm)],['0.13.2.0',theory(equality)])).
% 0.67/1.05 cnf('0.13.2.2',plain,
% 0.67/1.05 ( multiply(inverse(multiply(b1,inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))),multiply(b1,X4)) = multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,X3)))),X4)) ),
% 0.67/1.05 inference(instl,[status(thm)],['0.13.2.0',theory(equality)])).
% 0.67/1.05 cnf('0.14.0.0',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))),multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))) = multiply(inverse(X3),X3) ),
% 0.67/1.05 inference(cp,[status(thm)],['0.13.2.0','0.11.2.0',theory(equality)]),
% 0.67/1.05 [pos('R.2','L')]).
% 0.67/1.05 cnf('0.14.1.0',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))),multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))) = multiply(inverse(X3),X3) ),
% 0.67/1.05 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.67/1.05 [weight('<728,13,11,[1,1,0,3]>')]).
% 0.67/1.05 cnf('0.14.2.0',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))),multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))) = multiply(inverse(X3),X3) ),
% 0.67/1.05 inference(activate,[status(thm)],['0.14.1.0']),
% 0.67/1.05 [equation_8]).
% 0.67/1.05 cnf('0.14.2.1',plain,
% 0.67/1.05 ( multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))),multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))) = multiply(inverse(b1),b1) ),
% 0.67/1.05 inference(instr,[status(thm)],['0.14.2.0',theory(equality)])).
% 0.67/1.05 cnf('0.14.2.2',plain,
% 0.67/1.05 ( multiply(inverse(multiply(b1,inverse(multiply(b1,inverse(multiply(inverse(b1),b1)))))),multiply(b1,inverse(multiply(b1,inverse(multiply(inverse(b1),b1)))))) = multiply(inverse(X1),X1) ),
% 0.67/1.05 inference(instl,[status(thm)],['0.14.2.0',theory(equality)])).
% 0.67/1.05 cnf('1.0.0.0',conjecture,
% 0.67/1.05 ( multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
% 0.67/1.05 file('/tmp/WALDMEISTER_12339_n006',conjecture_1)).
% 0.67/1.05 cnf('1.0.0.1',plain,
% 0.67/1.05 ( multiply(inverse(multiply(b1,inverse(multiply(b1,inverse(multiply(inverse(b1),b1)))))),multiply(b1,inverse(multiply(b1,inverse(multiply(inverse(b1),b1)))))) = multiply(inverse(b1),b1) ),
% 0.67/1.05 inference(reduction,[status(thm)],['1.0.0.0','0.14.2.2',theory(equality)]),
% 0.67/1.05 [pos('L','R')]).
% 0.67/1.05 cnf('1.0.0.2',plain,
% 0.67/1.05 ( multiply(inverse(multiply(b1,inverse(multiply(b1,inverse(multiply(inverse(b1),b1)))))),multiply(b1,inverse(multiply(b1,inverse(multiply(inverse(b1),b1)))))) = multiply(inverse(multiply(b1,inverse(multiply(b1,inverse(multiply(inverse(b1),b1)))))),multiply(b1,inverse(multiply(b1,inverse(multiply(inverse(b1),b1)))))) ),
% 0.67/1.05 inference(reduction,[status(thm)],['1.0.0.1','0.14.2.2',theory(equality)]),
% 0.67/1.05 [pos('R','R')]).
% 0.67/1.05 cnf('1.0.0.3',plain,
% 0.67/1.05 ( $true ),
% 0.67/1.05 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.67/1.05 [conjecture_1]).
% 0.67/1.05
% 0.67/1.05 Proved Goals:
% 0.67/1.05 No. 1: multiply(inverse(a1),a1) ?= multiply(inverse(b1),b1) joined, current: multiply(inverse(multiply(b1,inverse(multiply(b1,inverse(multiply(inverse(b1),b1)))))),multiply(b1,inverse(multiply(b1,inverse(multiply(inverse(b1),b1)))))) = multiply(inverse(multiply(b1,inverse(multiply(b1,inverse(multiply(inverse(b1),b1)))))),multiply(b1,inverse(multiply(b1,inverse(multiply(inverse(b1),b1))))))
% 0.67/1.05 1 goal was specified, which was proved.
% 0.67/1.05 % SZS output end CNFRefutation
% 0.67/1.05 #END OF PROOF
% 0.67/1.05
% 0.67/1.05 Problem WALDMEISTER_12339_n006
% 0.67/1.05 CPs.gen 459
% 0.67/1.05 CPs.reexp 0
% 0.67/1.05 Select 33
% 0.67/1.05 R 6
% 0.67/1.05 E 8
% 0.67/1.05 vsize 6.5M
% 0.67/1.05 rss 3.7M
% 0.67/1.05 process.time 0.008s
% 0.67/1.05 wallclock.time 0.008s
% 0.67/1.05 status S
% 0.67/1.05
% 0.67/1.05
% 0.67/1.05 Waldmeister states: Goal proved.
% 0.67/1.05 % SZS status Unsatisfiable
%------------------------------------------------------------------------------