TSTP Solution File: GRP420-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP420-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n027.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 0.63s 1.01s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP420-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.12 % Command : woody %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 03:53:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.59/0.99 ********************************************************************************
% 0.59/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/0.99 * |/ | \/ | *
% 0.59/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/0.99 * A. Jaeger and B. Loechner | | *
% 0.59/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/0.99 ********************************************************************************
% 0.59/0.99
% 0.59/0.99
% 0.59/0.99 Goals:
% 0.59/0.99 ------
% 0.59/0.99
% 0.59/0.99 ( 1) multiply(multiply(a3,b3),c3) ?=? multiply(a3,multiply(b3,c3))
% 0.59/0.99
% 0.59/0.99 Detected structure: Orkus
% 0.59/0.99 ********************************************************************************
% 0.59/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.59/0.99 ********************************************************************************
% 0.59/0.99
% 0.63/1.01 joined goal: 1 multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) to multiply(a3,multiply(b3,c3))
% 0.63/1.01 goal joined
% 0.63/1.01 % SZS status Unsatisfiable
% 0.63/1.01 #START OF PROOF
% 0.63/1.01 % SZS output start CNFRefutation
% 0.63/1.01 cnf('0.1.0.0',axiom,
% 0.63/1.01 ( X1 = inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X2,X3))) ),
% 0.63/1.01 file('/tmp/WALDMEISTER_17688_n027')).
% 0.63/1.01 cnf('0.1.1.0',plain,
% 0.63/1.01 ( X1 = inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X2,X3))) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.63/1.01 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.63/1.01 cnf('0.1.2.0',plain,
% 0.63/1.01 ( inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3))) = X2 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_1]).
% 0.63/1.01 cnf('0.2.0.0',plain,
% 0.63/1.01 ( 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))) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1.1.1.2.1.1','L')]).
% 0.63/1.01 cnf('0.2.1.0',plain,
% 0.63/1.01 ( 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))) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.63/1.01 [weight('<?,1,1,[0,0,0,7]>')]).
% 0.63/1.01 cnf('0.2.2.0',plain,
% 0.63/1.01 ( 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))) ),
% 0.63/1.01 inference(activate,[status(thm)],['0.2.1.0']),
% 0.63/1.01 [equation_1]).
% 0.63/1.01 cnf('0.2.2.1',plain,
% 0.63/1.01 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) = inverse(multiply(inverse(multiply(c3,inverse(multiply(X2,inverse(multiply(c3,inverse(multiply(inverse(c3),c3)))))))),multiply(c3,c3))) ),
% 0.63/1.01 inference(instr,[status(thm)],['0.2.2.0',theory(equality)])).
% 0.63/1.01 cnf('0.2.2.2',plain,
% 0.63/1.01 ( multiply(inverse(multiply(c3,inverse(multiply(inverse(X2),inverse(multiply(c3,inverse(multiply(inverse(c3),c3)))))))),multiply(c3,c3)) = inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3))) ),
% 0.63/1.01 inference(instl,[status(thm)],['0.2.2.0',theory(equality)])).
% 0.63/1.01 cnf('0.3.0.0',plain,
% 0.63/1.01 ( inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3))) = X2 ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.63/1.01 cnf('0.3.1.0',plain,
% 0.63/1.01 ( inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3))) = X2 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.63/1.01 [weight('<461,1,2,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.3.1.1',plain,
% 0.63/1.01 ( multiply(inverse(multiply(c3,inverse(multiply(inverse(inverse(X2)),inverse(multiply(c3,inverse(multiply(inverse(c3),c3)))))))),multiply(c3,c3)) = X2 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.3.1.0','0.2.2.2',theory(equality)]),
% 0.63/1.01 [pos('L','R')]).
% 0.63/1.01 cnf('0.3.2.0',plain,
% 0.63/1.01 ( multiply(inverse(multiply(c3,inverse(multiply(inverse(inverse(X1)),inverse(multiply(c3,inverse(multiply(inverse(c3),c3)))))))),multiply(c3,c3)) = X1 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.3.1.1',theory(equality)]),
% 0.63/1.01 [u,rule_2]).
% 0.63/1.01 cnf('0.5.0.0',plain,
% 0.63/1.01 ( 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)) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.2.2.0','0.2.2.0',theory(equality)]),
% 0.63/1.01 [pos('R','R')]).
% 0.63/1.01 cnf('0.5.1.0',plain,
% 0.63/1.01 ( 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)) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.63/1.01 [weight('<1520,2,2,[1,1,1,0]>')]).
% 0.63/1.01 cnf('0.5.2.0',plain,
% 0.63/1.01 ( 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)) ),
% 0.63/1.01 inference(activate,[status(thm)],['0.5.1.0']),
% 0.63/1.01 [equation_2]).
% 0.63/1.01 cnf('0.5.2.1',plain,
% 0.63/1.01 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) = multiply(inverse(multiply(c3,inverse(multiply(inverse(X2),inverse(multiply(c3,inverse(multiply(inverse(c3),c3)))))))),multiply(c3,c3)) ),
% 0.63/1.01 inference(instr,[status(thm)],['0.5.2.0',theory(equality)])).
% 0.63/1.01 cnf('0.5.2.2',plain,
% 0.63/1.01 ( multiply(inverse(multiply(c3,inverse(multiply(inverse(X2),inverse(multiply(c3,inverse(multiply(inverse(c3),c3)))))))),multiply(c3,c3)) = multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) ),
% 0.63/1.01 inference(instl,[status(thm)],['0.5.2.0',theory(equality)])).
% 0.63/1.01 cnf('0.6.0.0',plain,
% 0.63/1.01 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) = X2 ),
% 0.63/1.01 inference(cp,[status(thm)],['0.5.2.0','0.3.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.6.1.0',plain,
% 0.63/1.01 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) = X2 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.63/1.01 [weight('<461,5,3,[1,0,0,0]>')]).
% 0.63/1.01 cnf('0.6.2.0',plain,
% 0.63/1.01 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) = X2 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_4]).
% 0.63/1.01 cnf('0.7.0.0',plain,
% 0.63/1.01 ( 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) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.6.2.0','0.6.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.7.1.0',plain,
% 0.63/1.01 ( 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) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.63/1.01 [weight('<1639,6,6,[0,0,0,17]>')]).
% 0.63/1.01 cnf('0.7.2.0',plain,
% 0.63/1.01 ( 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 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_5]).
% 0.63/1.01 cnf('0.8.0.0',plain,
% 0.63/1.01 ( 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))) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.2.2.0','0.7.2.0',theory(equality)]),
% 0.63/1.01 [pos('R.1.1.1.2.1','L')]).
% 0.63/1.01 cnf('0.8.0.1',plain,
% 0.63/1.01 ( 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))) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.8.0.0','0.6.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.8.1.0',plain,
% 0.63/1.01 ( 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))) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.8.0.1']),
% 0.63/1.01 [weight('<2915,7,2,[0,0,1,6]>')]).
% 0.63/1.01 cnf('0.8.2.0',plain,
% 0.63/1.01 ( 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))) ),
% 0.63/1.01 inference(activate,[status(thm)],['0.8.1.0']),
% 0.63/1.01 [equation_3]).
% 0.63/1.01 cnf('0.8.2.1',plain,
% 0.63/1.01 ( 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(c3,inverse(X4))),multiply(c3,X2))) ),
% 0.63/1.01 inference(instr,[status(thm)],['0.8.2.0',theory(equality)])).
% 0.63/1.01 cnf('0.8.2.2',plain,
% 0.63/1.01 ( multiply(inverse(multiply(c3,inverse(multiply(inverse(inverse(inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))),inverse(multiply(c3,inverse(multiply(inverse(c3),c3)))))))),inverse(multiply(inverse(inverse(X2)),inverse(multiply(multiply(c3,c3),inverse(multiply(inverse(multiply(c3,c3)),multiply(c3,c3)))))))) = inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3))) ),
% 0.63/1.01 inference(instl,[status(thm)],['0.8.2.0',theory(equality)])).
% 0.63/1.01 cnf('0.9.0.0',plain,
% 0.63/1.01 ( inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3))) = inverse(multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X3))) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.8.2.0','0.8.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.9.1.0',plain,
% 0.63/1.01 ( inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3))) = inverse(multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X3))) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.63/1.01 [weight('<440,8,8,[1,0,0,0]>')]).
% 0.63/1.01 cnf('0.9.2.0',plain,
% 0.63/1.01 ( inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3))) = inverse(multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X3))) ),
% 0.63/1.01 inference(activate,[status(thm)],['0.9.1.0']),
% 0.63/1.01 [equation_4]).
% 0.63/1.01 cnf('0.9.2.1',plain,
% 0.63/1.01 ( inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3))) = inverse(multiply(inverse(multiply(c3,inverse(X2))),multiply(c3,X3))) ),
% 0.63/1.01 inference(instr,[status(thm)],['0.9.2.0',theory(equality)])).
% 0.63/1.01 cnf('0.9.2.2',plain,
% 0.63/1.01 ( inverse(multiply(inverse(multiply(c3,inverse(X2))),multiply(c3,X3))) = inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3))) ),
% 0.63/1.01 inference(instl,[status(thm)],['0.9.2.0',theory(equality)])).
% 0.63/1.01 cnf('0.10.0.0',plain,
% 0.63/1.01 ( 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)) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.6.2.0','0.9.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1.1.2.1.1.1','L')]).
% 0.63/1.01 cnf('0.10.0.1',plain,
% 0.63/1.01 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(multiply(X5,inverse(X2))),multiply(X5,X3)) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.10.0.0','0.6.2.0',theory(equality)]),
% 0.63/1.01 [pos('R','L')]).
% 0.63/1.01 cnf('0.10.1.0',plain,
% 0.63/1.01 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(multiply(X5,inverse(X2))),multiply(X5,X3)) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.10.0.1']),
% 0.63/1.01 [weight('<360,9,6,[0,0,0,7]>')]).
% 0.63/1.01 cnf('0.10.2.0',plain,
% 0.63/1.01 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X3)) ),
% 0.63/1.01 inference(activate,[status(thm)],['0.10.1.0']),
% 0.63/1.01 [equation_5]).
% 0.63/1.01 cnf('0.10.2.1',plain,
% 0.63/1.01 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(multiply(c3,inverse(X2))),multiply(c3,X3)) ),
% 0.63/1.01 inference(instr,[status(thm)],['0.10.2.0',theory(equality)])).
% 0.63/1.01 cnf('0.10.2.2',plain,
% 0.63/1.01 ( multiply(inverse(multiply(c3,inverse(X2))),multiply(c3,X3)) = multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) ),
% 0.63/1.01 inference(instl,[status(thm)],['0.10.2.0',theory(equality)])).
% 0.63/1.01 cnf('0.11.0.0',plain,
% 0.63/1.01 ( 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))) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.5.2.0','0.8.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1.1','L')]).
% 0.63/1.01 cnf('0.11.0.1',plain,
% 0.63/1.01 ( 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))) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.11.0.0','0.6.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.11.0.2',plain,
% 0.63/1.01 ( X2 = multiply(inverse(inverse(multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X5)))),inverse(multiply(X5,inverse(multiply(inverse(X5),X5))))) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.11.0.1','0.6.2.0',theory(equality)]),
% 0.63/1.01 [pos('R.2','L')]).
% 0.63/1.01 cnf('0.11.1.0',plain,
% 0.63/1.01 ( X2 = multiply(inverse(inverse(multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X5)))),inverse(multiply(X5,inverse(multiply(inverse(X5),X5))))) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.11.0.2']),
% 0.63/1.01 [weight('<461,8,5,[0,0,0,2]>')]).
% 0.63/1.01 cnf('0.11.2.0',plain,
% 0.63/1.01 ( multiply(inverse(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)))),inverse(multiply(X3,inverse(multiply(inverse(X3),X3))))) = X2 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_6]).
% 0.63/1.01 cnf('0.13.0.0',plain,
% 0.63/1.01 ( 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)) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.10.2.0','0.11.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1.1','L')]).
% 0.63/1.01 cnf('0.13.1.0',plain,
% 0.63/1.01 ( 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)) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.63/1.01 [weight('<1023,11,10,[0,0,0,2]>')]).
% 0.63/1.01 cnf('0.13.2.0',plain,
% 0.63/1.01 ( 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)) ),
% 0.63/1.01 inference(activate,[status(thm)],['0.13.1.0']),
% 0.63/1.01 [equation_7]).
% 0.63/1.01 cnf('0.13.2.1',plain,
% 0.63/1.01 ( multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))),multiply(X1,X3)) = multiply(inverse(c3),multiply(inverse(inverse(multiply(inverse(multiply(c3,inverse(c3))),multiply(c3,X2)))),X3)) ),
% 0.63/1.01 inference(instr,[status(thm)],['0.13.2.0',theory(equality)])).
% 0.63/1.01 cnf('0.13.2.2',plain,
% 0.63/1.01 ( multiply(inverse(multiply(c3,inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))),multiply(c3,X4)) = multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,X3)))),X4)) ),
% 0.63/1.01 inference(instl,[status(thm)],['0.13.2.0',theory(equality)])).
% 0.63/1.01 cnf('0.14.0.0',plain,
% 0.63/1.01 ( 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) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.13.2.0','0.11.2.0',theory(equality)]),
% 0.63/1.01 [pos('R.2','L')]).
% 0.63/1.01 cnf('0.14.1.0',plain,
% 0.63/1.01 ( 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) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.63/1.01 [weight('<728,13,11,[1,1,0,3]>')]).
% 0.63/1.01 cnf('0.14.2.0',plain,
% 0.63/1.01 ( 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) ),
% 0.63/1.01 inference(activate,[status(thm)],['0.14.1.0']),
% 0.63/1.01 [equation_8]).
% 0.63/1.01 cnf('0.14.2.1',plain,
% 0.63/1.01 ( multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))),multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))) = multiply(inverse(c3),c3) ),
% 0.63/1.01 inference(instr,[status(thm)],['0.14.2.0',theory(equality)])).
% 0.63/1.01 cnf('0.14.2.2',plain,
% 0.63/1.01 ( multiply(inverse(multiply(c3,inverse(multiply(c3,inverse(multiply(inverse(c3),c3)))))),multiply(c3,inverse(multiply(c3,inverse(multiply(inverse(c3),c3)))))) = multiply(inverse(X1),X1) ),
% 0.63/1.01 inference(instl,[status(thm)],['0.14.2.0',theory(equality)])).
% 0.63/1.01 cnf('0.15.0.0',plain,
% 0.63/1.01 ( multiply(inverse(X1),X1) = multiply(inverse(X2),multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))),inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),inverse(multiply(inverse(inverse(X2)),inverse(multiply(multiply(X3,X5),inverse(multiply(inverse(multiply(X3,X5)),multiply(X3,X5))))))))),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.14.2.0','0.7.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1.1','L')]).
% 0.63/1.01 cnf('0.15.0.1',plain,
% 0.63/1.01 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.15.0.0','0.7.2.0',theory(equality)]),
% 0.63/1.01 [pos('R.2','L')]).
% 0.63/1.01 cnf('0.15.1.0',plain,
% 0.63/1.01 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.15.0.1']),
% 0.63/1.01 [weight('<80,14,7,[1,0,0,2]>')]).
% 0.63/1.01 cnf('0.15.2.0',plain,
% 0.63/1.01 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 0.63/1.01 inference(activate,[status(thm)],['0.15.1.0']),
% 0.63/1.01 [equation_9]).
% 0.63/1.01 cnf('0.15.2.1',plain,
% 0.63/1.01 ( multiply(inverse(X1),X1) = multiply(inverse(c3),c3) ),
% 0.63/1.01 inference(instr,[status(thm)],['0.15.2.0',theory(equality)])).
% 0.63/1.01 cnf('0.15.2.2',plain,
% 0.63/1.01 ( multiply(inverse(c3),c3) = multiply(inverse(X1),X1) ),
% 0.63/1.01 inference(instl,[status(thm)],['0.15.2.0',theory(equality)])).
% 0.63/1.01 cnf('0.16.0.0',plain,
% 0.63/1.01 ( X1 = multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X1),inverse(multiply(inverse(inverse(X1)),inverse(X1)))))) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.11.2.0','0.15.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1.1.1','L')]).
% 0.63/1.01 cnf('0.16.1.0',plain,
% 0.63/1.01 ( X1 = multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X1),inverse(multiply(inverse(inverse(X1)),inverse(X1)))))) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.63/1.01 [weight('<379,15,11,[0,0,0,3]>')]).
% 0.63/1.01 cnf('0.16.1.1',plain,
% 0.63/1.01 ( X1 = multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X1),inverse(multiply(inverse(c3),c3))))) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.16.1.0','0.15.2.1',theory(equality)]),
% 0.63/1.01 [pos('R.2.1.2.1','L')]).
% 0.63/1.01 cnf('0.16.2.0',plain,
% 0.63/1.01 ( multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X2),inverse(multiply(inverse(c3),c3))))) = X2 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.16.1.1',theory(equality)]),
% 0.63/1.01 [x,rule_7]).
% 0.63/1.01 cnf('0.17.0.0',plain,
% 0.63/1.01 ( inverse(multiply(inverse(c3),c3)) = multiply(inverse(X1),X1) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.16.2.0','0.15.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.17.1.0',plain,
% 0.63/1.01 ( inverse(multiply(inverse(c3),c3)) = multiply(inverse(X1),X1) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.63/1.01 [weight('<99,16,15,[1,0,0,0]>')]).
% 0.63/1.01 cnf('0.17.2.0',plain,
% 0.63/1.01 ( inverse(multiply(inverse(c3),c3)) = multiply(inverse(X1),X1) ),
% 0.63/1.01 inference(activate,[status(thm)],['0.17.1.0']),
% 0.63/1.01 [equation_10]).
% 0.63/1.01 cnf('0.17.2.1',plain,
% 0.63/1.01 ( inverse(multiply(inverse(c3),c3)) = multiply(inverse(c3),c3) ),
% 0.63/1.01 inference(instr,[status(thm)],['0.17.2.0',theory(equality)])).
% 0.63/1.01 cnf('0.18.0.0',plain,
% 0.63/1.01 ( multiply(inverse(X1),X1) = inverse(multiply(inverse(X2),X2)) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.17.2.0','0.15.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.18.1.0',plain,
% 0.63/1.01 ( multiply(inverse(X1),X1) = inverse(multiply(inverse(X2),X2)) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.63/1.01 [weight('<99,17,15,[1,0,0,1]>')]).
% 0.63/1.01 cnf('0.18.2.0',plain,
% 0.63/1.01 ( multiply(inverse(X1),X1) = inverse(multiply(inverse(X2),X2)) ),
% 0.63/1.01 inference(activate,[status(thm)],['0.18.1.0']),
% 0.63/1.01 [equation_11]).
% 0.63/1.01 cnf('0.18.2.1',plain,
% 0.63/1.01 ( multiply(inverse(X1),X1) = inverse(multiply(inverse(c3),c3)) ),
% 0.63/1.01 inference(instr,[status(thm)],['0.18.2.0',theory(equality)])).
% 0.63/1.01 cnf('0.18.2.2',plain,
% 0.63/1.01 ( multiply(inverse(c3),c3) = inverse(multiply(inverse(X1),X1)) ),
% 0.63/1.01 inference(instl,[status(thm)],['0.18.2.0',theory(equality)])).
% 0.63/1.01 cnf('0.20.0.0',plain,
% 0.63/1.01 ( multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X2),inverse(multiply(inverse(c3),c3))))) = X2 ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.16.2.0'])).
% 0.63/1.01 cnf('0.20.1.0',plain,
% 0.63/1.01 ( multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X2),inverse(multiply(inverse(c3),c3))))) = X2 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.63/1.01 [weight('<305,16,17,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.20.1.1',plain,
% 0.63/1.01 ( multiply(inverse(multiply(inverse(c3),c3)),inverse(multiply(inverse(X2),inverse(multiply(inverse(c3),c3))))) = X2 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.20.1.0','0.18.2.2',theory(equality)]),
% 0.63/1.01 [pos('L.1.1','R')]).
% 0.63/1.01 cnf('0.20.1.2',plain,
% 0.63/1.01 ( multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(X2),inverse(multiply(inverse(c3),c3))))) = X2 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.20.1.1','0.18.2.2',theory(equality)]),
% 0.63/1.01 [pos('L.1','R')]).
% 0.63/1.01 cnf('0.20.1.3',plain,
% 0.63/1.01 ( multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(X2),multiply(inverse(c3),c3)))) = X2 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.20.1.2','0.18.2.2',theory(equality)]),
% 0.63/1.01 [pos('L.2.1.2','R')]).
% 0.63/1.01 cnf('0.20.2.0',plain,
% 0.63/1.01 ( multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(X1),multiply(inverse(c3),c3)))) = X1 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.20.1.3',theory(equality)]),
% 0.63/1.01 [u,rule_8]).
% 0.63/1.01 cnf('0.21.0.0',plain,
% 0.63/1.01 ( X1 = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X1),multiply(inverse(c3),c3)))) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.20.2.0','0.15.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.21.1.0',plain,
% 0.63/1.01 ( X1 = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X1),multiply(inverse(c3),c3)))) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.63/1.01 [weight('<209,20,15,[1,0,0,1]>')]).
% 0.63/1.01 cnf('0.21.2.0',plain,
% 0.63/1.01 ( multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),multiply(inverse(c3),c3)))) = X2 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_9]).
% 0.63/1.01 cnf('0.22.0.0',plain,
% 0.63/1.01 ( X1 = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X1),multiply(inverse(X3),X3)))) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.21.2.0','0.15.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2.1.2','L')]).
% 0.63/1.01 cnf('0.22.1.0',plain,
% 0.63/1.01 ( X1 = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X1),multiply(inverse(X3),X3)))) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.63/1.01 [weight('<209,21,15,[1,0,0,9]>')]).
% 0.63/1.01 cnf('0.22.2.0',plain,
% 0.63/1.01 ( multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),multiply(inverse(X3),X3)))) = X2 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_10]).
% 0.63/1.01 cnf('0.27.0.0',plain,
% 0.63/1.01 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) = X2 ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.6.2.0'])).
% 0.63/1.01 cnf('0.27.1.0',plain,
% 0.63/1.01 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) = X2 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.63/1.01 [weight('<461,6,18,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.27.1.1',plain,
% 0.63/1.01 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),inverse(multiply(X3,multiply(inverse(c3),c3))))))),multiply(X1,X3)) = X2 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.27.1.0','0.18.2.2',theory(equality)]),
% 0.63/1.01 [pos('L.1.1.2.1.2.1.2','R')]).
% 0.63/1.01 cnf('0.27.2.0',plain,
% 0.63/1.01 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),inverse(multiply(X3,multiply(inverse(c3),c3))))))),multiply(X1,X3)) = X2 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.27.1.1',theory(equality)]),
% 0.63/1.01 [u,rule_13]).
% 0.63/1.01 cnf('0.28.0.0',plain,
% 0.63/1.01 ( multiply(X1,multiply(inverse(c3),c3)) = multiply(inverse(multiply(X2,multiply(inverse(X3),X3))),multiply(X2,X1)) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.27.2.0','0.18.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1.1.2','R')]).
% 0.63/1.01 cnf('0.28.1.0',plain,
% 0.63/1.01 ( multiply(X1,multiply(inverse(c3),c3)) = multiply(inverse(multiply(X2,multiply(inverse(X3),X3))),multiply(X2,X1)) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.63/1.01 [weight('<215,27,18,[1,0,1,4]>')]).
% 0.63/1.01 cnf('0.28.2.0',plain,
% 0.63/1.01 ( multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,X3)) = multiply(X3,multiply(inverse(c3),c3)) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_14]).
% 0.63/1.01 cnf('0.29.0.0',plain,
% 0.63/1.01 ( multiply(X1,multiply(inverse(c3),c3)) = multiply(multiply(inverse(X2),X2),multiply(inverse(multiply(inverse(X3),X3)),X1)) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.28.2.0','0.18.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','R')]).
% 0.63/1.01 cnf('0.29.1.0',plain,
% 0.63/1.01 ( multiply(X1,multiply(inverse(c3),c3)) = multiply(multiply(inverse(X2),X2),multiply(inverse(multiply(inverse(X3),X3)),X1)) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.63/1.01 [weight('<246,28,18,[1,0,1,1]>')]).
% 0.63/1.01 cnf('0.29.1.1',plain,
% 0.63/1.01 ( multiply(X1,multiply(inverse(c3),c3)) = multiply(multiply(inverse(X2),X2),multiply(multiply(inverse(c3),c3),X1)) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.29.1.0','0.18.2.2',theory(equality)]),
% 0.63/1.01 [pos('R.2.1','R')]).
% 0.63/1.01 cnf('0.29.2.0',plain,
% 0.63/1.01 ( multiply(multiply(inverse(X1),X1),multiply(multiply(inverse(c3),c3),X2)) = multiply(X2,multiply(inverse(c3),c3)) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.29.1.1',theory(equality)]),
% 0.63/1.01 [x,rule_15]).
% 0.63/1.01 cnf('0.30.0.0',plain,
% 0.63/1.01 ( multiply(X1,multiply(inverse(c3),c3)) = multiply(multiply(inverse(X2),X2),multiply(multiply(inverse(X3),X3),X1)) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.29.2.0','0.15.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2.1','L')]).
% 0.63/1.01 cnf('0.30.1.0',plain,
% 0.63/1.01 ( multiply(X1,multiply(inverse(c3),c3)) = multiply(multiply(inverse(X2),X2),multiply(multiply(inverse(X3),X3),X1)) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.63/1.01 [weight('<215,29,15,[1,0,0,6]>')]).
% 0.63/1.01 cnf('0.30.2.0',plain,
% 0.63/1.01 ( multiply(multiply(inverse(X1),X1),multiply(multiply(inverse(X2),X2),X3)) = multiply(X3,multiply(inverse(c3),c3)) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_16]).
% 0.63/1.01 cnf('0.33.0.0',plain,
% 0.63/1.01 ( multiply(inverse(X1),multiply(inverse(X2),X2)) = multiply(multiply(inverse(X3),X3),inverse(multiply(X1,multiply(inverse(c3),c3)))) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.22.2.0','0.28.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2.1','L')]).
% 0.63/1.01 cnf('0.33.1.0',plain,
% 0.63/1.01 ( multiply(inverse(X1),multiply(inverse(X2),X2)) = multiply(multiply(inverse(X3),X3),inverse(multiply(X1,multiply(inverse(c3),c3)))) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.33.0.0']),
% 0.63/1.01 [weight('<399,28,22,[0,0,0,6]>')]).
% 0.63/1.01 cnf('0.33.2.0',plain,
% 0.63/1.01 ( multiply(inverse(X1),multiply(inverse(X2),X2)) = multiply(multiply(inverse(X3),X3),inverse(multiply(X1,multiply(inverse(c3),c3)))) ),
% 0.63/1.01 inference(activate,[status(thm)],['0.33.1.0']),
% 0.63/1.01 [equation_15]).
% 0.63/1.01 cnf('0.33.2.1',plain,
% 0.63/1.01 ( multiply(inverse(X1),multiply(inverse(X2),X2)) = multiply(multiply(inverse(c3),c3),inverse(multiply(X1,multiply(inverse(c3),c3)))) ),
% 0.63/1.01 inference(instr,[status(thm)],['0.33.2.0',theory(equality)])).
% 0.63/1.01 cnf('0.33.2.2',plain,
% 0.63/1.01 ( multiply(inverse(X2),multiply(inverse(c3),c3)) = multiply(multiply(inverse(X1),X1),inverse(multiply(X2,multiply(inverse(c3),c3)))) ),
% 0.63/1.01 inference(instl,[status(thm)],['0.33.2.0',theory(equality)])).
% 0.63/1.01 cnf('0.34.0.0',plain,
% 0.63/1.01 ( multiply(inverse(inverse(X1)),multiply(inverse(X2),X2)) = X1 ),
% 0.63/1.01 inference(cp,[status(thm)],['0.33.2.0','0.22.2.0',theory(equality)]),
% 0.63/1.01 [pos('R','L')]).
% 0.63/1.01 cnf('0.34.1.0',plain,
% 0.63/1.01 ( multiply(inverse(inverse(X1)),multiply(inverse(X2),X2)) = X1 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.63/1.01 [weight('<89,33,22,[1,1,0,0]>')]).
% 0.63/1.01 cnf('0.34.2.0',plain,
% 0.63/1.01 ( multiply(inverse(inverse(X1)),multiply(inverse(X2),X2)) = X1 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_19]).
% 0.63/1.01 cnf('0.35.0.0',plain,
% 0.63/1.01 ( inverse(X1) = multiply(multiply(inverse(X2),X2),inverse(X1)) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.22.2.0','0.34.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2.1','L')]).
% 0.63/1.01 cnf('0.35.1.0',plain,
% 0.63/1.01 ( inverse(X1) = multiply(multiply(inverse(X2),X2),inverse(X1)) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.35.0.0']),
% 0.63/1.01 [weight('<79,34,22,[0,0,0,6]>')]).
% 0.63/1.01 cnf('0.35.2.0',plain,
% 0.63/1.01 ( multiply(multiply(inverse(X1),X1),inverse(X2)) = inverse(X2) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_20]).
% 0.63/1.01 cnf('0.36.0.0',plain,
% 0.63/1.01 ( multiply(inverse(X1),multiply(inverse(c3),c3)) = multiply(multiply(inverse(X2),X2),inverse(X1)) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.30.2.0','0.35.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.36.0.1',plain,
% 0.63/1.01 ( multiply(inverse(X1),multiply(inverse(c3),c3)) = inverse(X1) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.36.0.0','0.35.2.0',theory(equality)]),
% 0.63/1.01 [pos('R','L')]).
% 0.63/1.01 cnf('0.36.1.0',plain,
% 0.63/1.01 ( multiply(inverse(X1),multiply(inverse(c3),c3)) = inverse(X1) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.36.0.1']),
% 0.63/1.01 [weight('<79,35,30,[0,0,0,5]>')]).
% 0.63/1.01 cnf('0.36.2.0',plain,
% 0.63/1.01 ( multiply(inverse(X1),multiply(inverse(c3),c3)) = inverse(X1) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_21]).
% 0.63/1.01 cnf('0.37.0.0',plain,
% 0.63/1.01 ( inverse(inverse(X1)) = X1 ),
% 0.63/1.01 inference(cp,[status(thm)],['0.36.2.0','0.34.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.37.1.0',plain,
% 0.63/1.01 ( inverse(inverse(X1)) = X1 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.37.0.0']),
% 0.63/1.01 [weight('<19,36,34,[1,0,0,0]>')]).
% 0.63/1.01 cnf('0.37.2.0',plain,
% 0.63/1.01 ( inverse(inverse(X1)) = X1 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_22]).
% 0.63/1.01 cnf('0.38.0.0',plain,
% 0.63/1.01 ( multiply(inverse(inverse(X1)),multiply(inverse(X2),X2)) = X1 ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.34.2.0'])).
% 0.63/1.01 cnf('0.38.0.1',plain,
% 0.63/1.01 ( multiply(X1,multiply(inverse(X2),X2)) = X1 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.38.0.0','0.37.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.38.1.0',plain,
% 0.63/1.01 ( multiply(X1,multiply(inverse(X2),X2)) = X1 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.38.0.1']),
% 0.63/1.01 [weight('<55,34,37,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.38.2.0',plain,
% 0.63/1.01 ( multiply(X1,multiply(inverse(X2),X2)) = X1 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_23]).
% 0.63/1.01 cnf('0.39.0.0',plain,
% 0.63/1.01 ( multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,X3)) = multiply(X3,multiply(inverse(c3),c3)) ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.28.2.0'])).
% 0.63/1.01 cnf('0.39.0.1',plain,
% 0.63/1.01 ( multiply(inverse(X1),multiply(X1,X3)) = multiply(X3,multiply(inverse(c3),c3)) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.39.0.0','0.38.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1.1','L')]).
% 0.63/1.01 cnf('0.39.0.2',plain,
% 0.63/1.01 ( multiply(inverse(X1),multiply(X1,X3)) = X3 ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.39.0.1','0.38.2.0',theory(equality)]),
% 0.63/1.01 [pos('R','L')]).
% 0.63/1.01 cnf('0.39.1.0',plain,
% 0.63/1.01 ( multiply(inverse(X1),multiply(X1,X3)) = X3 ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.39.0.2']),
% 0.63/1.01 [weight('<55,28,38,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.39.2.0',plain,
% 0.63/1.01 ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_24]).
% 0.63/1.01 cnf('0.40.0.0',plain,
% 0.63/1.01 ( inverse(inverse(X1)) = multiply(multiply(inverse(X2),X2),X1) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.35.2.0','0.37.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.40.0.1',plain,
% 0.63/1.01 ( X1 = multiply(multiply(inverse(X2),X2),X1) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.40.0.0','0.37.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.40.1.0',plain,
% 0.63/1.01 ( X1 = multiply(multiply(inverse(X2),X2),X1) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.40.0.1']),
% 0.63/1.01 [weight('<55,37,35,[0,0,0,5]>')]).
% 0.63/1.01 cnf('0.40.2.0',plain,
% 0.63/1.01 ( multiply(multiply(inverse(X1),X1),X2) = X2 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_25]).
% 0.63/1.01 cnf('0.41.0.0',plain,
% 0.63/1.01 ( X1 = multiply(X1,multiply(X2,inverse(X2))) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.38.2.0','0.37.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2.1','L')]).
% 0.63/1.01 cnf('0.41.1.0',plain,
% 0.63/1.01 ( X1 = multiply(X1,multiply(X2,inverse(X2))) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.41.0.0']),
% 0.63/1.01 [weight('<55,38,37,[1,0,0,3]>')]).
% 0.63/1.01 cnf('0.41.2.0',plain,
% 0.63/1.01 ( multiply(X1,multiply(X2,inverse(X2))) = X1 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_26]).
% 0.63/1.01 cnf('0.43.0.0',plain,
% 0.63/1.01 ( X1 = multiply(multiply(X2,inverse(X2)),X1) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.40.2.0','0.37.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1.1','L')]).
% 0.63/1.01 cnf('0.43.1.0',plain,
% 0.63/1.01 ( X1 = multiply(multiply(X2,inverse(X2)),X1) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.43.0.0']),
% 0.63/1.01 [weight('<55,40,37,[1,0,0,2]>')]).
% 0.63/1.01 cnf('0.43.2.0',plain,
% 0.63/1.01 ( multiply(multiply(X1,inverse(X1)),X2) = X2 ),
% 0.63/1.01 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_28]).
% 0.63/1.01 cnf('0.50.0.0',plain,
% 0.63/1.01 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(inverse(X2)),multiply(multiply(X4,inverse(X4)),X3)) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.10.2.0','0.43.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1.1','L')]).
% 0.63/1.01 cnf('0.50.0.1',plain,
% 0.63/1.01 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(X2,multiply(multiply(X4,inverse(X4)),X3)) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.50.0.0','0.37.2.0',theory(equality)]),
% 0.63/1.01 [pos('R.1','L')]).
% 0.63/1.01 cnf('0.50.0.2',plain,
% 0.63/1.01 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(X2,X3) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.50.0.1','0.43.2.0',theory(equality)]),
% 0.63/1.01 [pos('R.2','L')]).
% 0.63/1.01 cnf('0.50.1.0',plain,
% 0.63/1.01 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(X2,X3) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.50.0.2']),
% 0.63/1.01 [weight('<129,43,10,[0,0,0,2]>')]).
% 0.63/1.01 cnf('0.50.2.0',plain,
% 0.63/1.01 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(X2,X3) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_32]).
% 0.63/1.01 cnf('0.51.0.0',plain,
% 0.63/1.01 ( multiply(X1,inverse(X2)) = inverse(multiply(X2,inverse(X1))) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.50.2.0','0.41.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('0.51.1.0',plain,
% 0.63/1.01 ( multiply(X1,inverse(X2)) = inverse(multiply(X2,inverse(X1))) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.51.0.0']),
% 0.63/1.01 [weight('<59,50,41,[1,0,0,0]>')]).
% 0.63/1.01 cnf('0.51.2.0',plain,
% 0.63/1.01 ( inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_33]).
% 0.63/1.01 cnf('0.59.0.0',plain,
% 0.63/1.01 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(X2,X3) ),
% 0.63/1.01 inference(interreduction_right,[status(thm)],['0.50.2.0'])).
% 0.63/1.01 cnf('0.59.0.1',plain,
% 0.63/1.01 ( multiply(multiply(X2,inverse(X1)),multiply(X1,X3)) = multiply(X2,X3) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.59.0.0','0.51.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.1','L')]).
% 0.63/1.01 cnf('0.59.1.0',plain,
% 0.63/1.01 ( multiply(multiply(X2,inverse(X1)),multiply(X1,X3)) = multiply(X2,X3) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.59.0.1']),
% 0.63/1.01 [weight('<107,50,51,[0,0,0,0]>')]).
% 0.63/1.01 cnf('0.59.2.0',plain,
% 0.63/1.01 ( multiply(multiply(X1,inverse(X2)),multiply(X2,X3)) = multiply(X1,X3) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 0.63/1.01 [u,rule_41]).
% 0.63/1.01 cnf('0.60.0.0',plain,
% 0.63/1.01 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,inverse(inverse(X2))),X3) ),
% 0.63/1.01 inference(cp,[status(thm)],['0.59.2.0','0.39.2.0',theory(equality)]),
% 0.63/1.01 [pos('L.2','L')]).
% 0.63/1.01 cnf('0.60.0.1',plain,
% 0.63/1.01 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.63/1.01 inference(reduction,[status(thm)],['0.60.0.0','0.37.2.0',theory(equality)]),
% 0.63/1.01 [pos('R.1.2','L')]).
% 0.63/1.01 cnf('0.60.1.0',plain,
% 0.63/1.01 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.63/1.01 inference(weigh,[status(thm)],['0.60.0.1']),
% 0.63/1.01 [weight('<65,59,39,[1,0,0,5]>')]).
% 0.63/1.01 cnf('0.60.2.0',plain,
% 0.63/1.01 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.63/1.01 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 0.63/1.01 [x,rule_42]).
% 0.63/1.01 cnf('1.0.0.0',conjecture,
% 0.63/1.01 ( multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.63/1.01 file('/tmp/WALDMEISTER_17688_n027',conjecture_1)).
% 0.63/1.01 cnf('1.0.0.1',plain,
% 0.63/1.01 ( multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)) ),
% 0.63/1.01 inference(reduction,[status(thm)],['1.0.0.0','0.60.2.0',theory(equality)]),
% 0.63/1.01 [pos('L','L')]).
% 0.63/1.01 cnf('1.0.0.2',plain,
% 0.63/1.01 ( $true ),
% 0.63/1.01 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.63/1.01 [conjecture_1]).
% 0.63/1.01
% 0.63/1.01 Proved Goals:
% 0.63/1.01 No. 1: multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) joined, current: multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3))
% 0.63/1.01 1 goal was specified, which was proved.
% 0.63/1.01 % SZS output end CNFRefutation
% 0.63/1.01 #END OF PROOF
% 0.63/1.01
% 0.63/1.01 Problem WALDMEISTER_17688_n027
% 0.63/1.01 CPs.gen 2014
% 0.63/1.01 CPs.reexp 0
% 0.63/1.01 Select 296
% 0.63/1.01 R 42
% 0.63/1.01 E 18
% 0.63/1.01 vsize 6.4M
% 0.63/1.01 rss 3.8M
% 0.63/1.01 process.time 0.020s
% 0.63/1.01 wallclock.time 0.020s
% 0.63/1.01 status S
% 0.63/1.01
% 0.63/1.01
% 0.63/1.01 Waldmeister states: Goal proved.
% 0.63/1.01 % SZS status Unsatisfiable
%------------------------------------------------------------------------------