TSTP Solution File: GRP415-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP415-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n011.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 0.57s 0.99s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP415-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.11 % Command : woody %s
% 0.11/0.32 % Computer : n011.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Mon Jun 13 06:43:18 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.57/0.98 ********************************************************************************
% 0.57/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.98 * |/ | \/ | *
% 0.57/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.98 * A. Jaeger and B. Loechner | | *
% 0.57/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.98 ********************************************************************************
% 0.57/0.98
% 0.57/0.98
% 0.57/0.98 Goals:
% 0.57/0.98 ------
% 0.57/0.98
% 0.57/0.98 ( 1) multiply(inverse(a1),a1) ?=? multiply(inverse(b1),b1)
% 0.57/0.98
% 0.57/0.98 Detected structure: Orkus
% 0.57/0.98 ********************************************************************************
% 0.57/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.98 ********************************************************************************
% 0.57/0.98
% 0.57/0.99 joined goal: 1 multiply(inverse(a1),a1) ?= multiply(inverse(b1),b1) to multiply(inverse(multiply(b1,inverse(multiply(inverse(b1),b1)))),multiply(b1,inverse(multiply(inverse(b1),b1))))
% 0.57/0.99 goal joined
% 0.57/0.99 % SZS status Unsatisfiable
% 0.57/0.99 #START OF PROOF
% 0.57/0.99 % SZS output start CNFRefutation
% 0.57/0.99 cnf('0.1.0.0',axiom,
% 0.57/0.99 ( X1 = inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(X1)))),inverse(multiply(inverse(X2),X2)))))) ),
% 0.57/0.99 file('/tmp/WALDMEISTER_23053_n011')).
% 0.57/0.99 cnf('0.1.1.0',plain,
% 0.57/0.99 ( X1 = inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(X1)))),inverse(multiply(inverse(X2),X2)))))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.57/0.99 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.57/0.99 cnf('0.1.2.0',plain,
% 0.57/0.99 ( inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X1),X1)))))) = X3 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_1]).
% 0.57/0.99 cnf('0.2.0.0',plain,
% 0.57/0.99 ( X1 = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X3),X3)))),inverse(multiply(inverse(multiply(X4,multiply(X3,inverse(X1)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X3),X3)))))))))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1.2.1.1.1.1','L')]).
% 0.57/0.99 cnf('0.2.1.0',plain,
% 0.57/0.99 ( X1 = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X3),X3)))),inverse(multiply(inverse(multiply(X4,multiply(X3,inverse(X1)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X4)))),inverse(multiply(inverse(X3),X3)))))))))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.57/0.99 [weight('<?,1,1,[0,0,0,7]>')]).
% 0.57/0.99 cnf('0.2.2.0',plain,
% 0.57/0.99 ( inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X2),X2)))),inverse(multiply(inverse(multiply(X3,multiply(X2,inverse(X4)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X2),X2)))))))))) = X4 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_2]).
% 0.57/0.99 cnf('0.3.0.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X1),X1))))) = inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X5,X3))),inverse(multiply(inverse(X4),X4)))))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1.2.1.1.1.2.2','L')]).
% 0.57/0.99 cnf('0.3.1.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X1),X1))))) = inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X5,X3))),inverse(multiply(inverse(X4),X4)))))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.57/0.99 [weight('<1520,1,1,[0,0,0,13]>')]).
% 0.57/0.99 cnf('0.3.2.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X1),X1))))) = inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X5,X3))),inverse(multiply(inverse(X4),X4)))))) ),
% 0.57/0.99 inference(activate,[status(thm)],['0.3.1.0']),
% 0.57/0.99 [equation_1]).
% 0.57/0.99 cnf('0.3.2.1',plain,
% 0.57/0.99 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X1),X1))))) = inverse(multiply(b1,inverse(multiply(inverse(multiply(inverse(multiply(b1,b1)),multiply(b1,X3))),inverse(multiply(inverse(b1),b1)))))) ),
% 0.57/0.99 inference(instr,[status(thm)],['0.3.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.3.2.2',plain,
% 0.57/0.99 ( multiply(b1,inverse(multiply(inverse(multiply(inverse(multiply(b1,b1)),multiply(b1,inverse(X3)))),inverse(multiply(inverse(b1),b1))))) = inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X3))),inverse(multiply(inverse(X1),X1)))))) ),
% 0.57/0.99 inference(instl,[status(thm)],['0.3.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.4.0.0',plain,
% 0.57/0.99 ( inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X1),X1)))))) = X3 ),
% 0.57/0.99 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.57/0.99 cnf('0.4.1.0',plain,
% 0.57/0.99 ( inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X1),X1)))))) = X3 ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.57/0.99 [weight('<461,1,3,[0,0,0,0]>')]).
% 0.57/0.99 cnf('0.4.1.1',plain,
% 0.57/0.99 ( multiply(b1,inverse(multiply(inverse(multiply(inverse(multiply(b1,b1)),multiply(b1,inverse(inverse(X3))))),inverse(multiply(inverse(b1),b1))))) = X3 ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.4.1.0','0.3.2.2',theory(equality)]),
% 0.57/0.99 [pos('L','R')]).
% 0.57/0.99 cnf('0.4.2.0',plain,
% 0.57/0.99 ( multiply(b1,inverse(multiply(inverse(multiply(inverse(multiply(b1,b1)),multiply(b1,inverse(inverse(X1))))),inverse(multiply(inverse(b1),b1))))) = X1 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.4.1.1',theory(equality)]),
% 0.57/0.99 [u,rule_3]).
% 0.57/0.99 cnf('0.5.0.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(inverse(X3)))))),inverse(multiply(inverse(X1),X1))))) = inverse(X3) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.3.2.0','0.4.2.0',theory(equality)]),
% 0.57/0.99 [pos('R.1','L')]).
% 0.57/0.99 cnf('0.5.1.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(inverse(X3)))))),inverse(multiply(inverse(X1),X1))))) = inverse(X3) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.57/0.99 [weight('<527,4,3,[0,0,1,1]>')]).
% 0.57/0.99 cnf('0.5.2.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(inverse(X3)))))),inverse(multiply(inverse(X1),X1))))) = inverse(X3) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_4]).
% 0.57/0.99 cnf('0.6.0.0',plain,
% 0.57/0.99 ( inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X2),X2)))),inverse(multiply(inverse(multiply(X3,multiply(X2,inverse(X4)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X2),X2)))))))))) = multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X6,inverse(inverse(X4))))),inverse(multiply(inverse(X5),X5))))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.5.2.0','0.2.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2.1.1.1.2.2.1.1','L')]).
% 0.57/0.99 cnf('0.6.0.1',plain,
% 0.57/0.99 ( X4 = multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X6,inverse(inverse(X4))))),inverse(multiply(inverse(X5),X5))))) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.6.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('0.6.1.0',plain,
% 0.57/0.99 ( X4 = multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X6,inverse(inverse(X4))))),inverse(multiply(inverse(X5),X5))))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.6.0.1']),
% 0.57/0.99 [weight('<461,5,2,[1,0,0,14]>')]).
% 0.57/0.99 cnf('0.6.2.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(X3))))),inverse(multiply(inverse(X1),X1))))) = X3 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_5]).
% 0.57/0.99 cnf('0.7.0.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(inverse(X5))))),inverse(multiply(inverse(X4),X4)))))))),inverse(multiply(inverse(X1),X1))))) = inverse(multiply(X6,inverse(multiply(inverse(multiply(inverse(multiply(X4,X6)),X5)),inverse(multiply(inverse(X6),X6)))))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.3.2.0','0.6.2.0',theory(equality)]),
% 0.57/0.99 [pos('R.1.2.1.1.1.2','L')]).
% 0.57/0.99 cnf('0.7.0.1',plain,
% 0.57/0.99 ( multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(inverse(X5))))),inverse(multiply(inverse(X4),X4))) = inverse(multiply(X6,inverse(multiply(inverse(multiply(inverse(multiply(X4,X6)),X5)),inverse(multiply(inverse(X6),X6)))))) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.7.0.0','0.6.2.0',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('0.7.1.0',plain,
% 0.57/0.99 ( multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(inverse(X5))))),inverse(multiply(inverse(X4),X4))) = inverse(multiply(X6,inverse(multiply(inverse(multiply(inverse(multiply(X4,X6)),X5)),inverse(multiply(inverse(X6),X6)))))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.7.0.1']),
% 0.57/0.99 [weight('<1224,6,3,[0,0,1,11]>')]).
% 0.57/0.99 cnf('0.7.2.0',plain,
% 0.57/0.99 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(X3))))),inverse(multiply(inverse(X2),X2))) = inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X2,X4)),X3)),inverse(multiply(inverse(X4),X4)))))) ),
% 0.57/0.99 inference(activate,[status(thm)],['0.7.1.0']),
% 0.57/0.99 [equation_2]).
% 0.57/0.99 cnf('0.7.2.1',plain,
% 0.57/0.99 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(X3))))),inverse(multiply(inverse(X2),X2))) = inverse(multiply(b1,inverse(multiply(inverse(multiply(inverse(multiply(X2,b1)),X3)),inverse(multiply(inverse(b1),b1)))))) ),
% 0.57/0.99 inference(instr,[status(thm)],['0.7.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.7.2.2',plain,
% 0.57/0.99 ( multiply(inverse(multiply(inverse(multiply(b1,X2)),multiply(b1,inverse(inverse(X3))))),inverse(multiply(inverse(X2),X2))) = inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),X3)),inverse(multiply(inverse(X1),X1)))))) ),
% 0.57/0.99 inference(instl,[status(thm)],['0.7.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.8.0.0',plain,
% 0.57/0.99 ( X1 = multiply(X2,inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X1)),inverse(multiply(inverse(X3),X3)))))))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.6.2.0','0.7.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2.1','L')]).
% 0.57/0.99 cnf('0.8.1.0',plain,
% 0.57/0.99 ( X1 = multiply(X2,inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X1)),inverse(multiply(inverse(X3),X3)))))))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.57/0.99 [weight('<461,7,6,[0,0,0,3]>')]).
% 0.57/0.99 cnf('0.8.2.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),inverse(multiply(inverse(X2),X2)))))))) = X3 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_6]).
% 0.57/0.99 cnf('0.9.0.0',plain,
% 0.57/0.99 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(inverse(X3)))))))),inverse(multiply(inverse(X2),X2))) = inverse(X3) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.7.2.0','0.6.2.0',theory(equality)]),
% 0.57/0.99 [pos('R.1','L')]).
% 0.57/0.99 cnf('0.9.1.0',plain,
% 0.57/0.99 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(inverse(X3)))))))),inverse(multiply(inverse(X2),X2))) = inverse(X3) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.57/0.99 [weight('<527,7,6,[1,1,0,1]>')]).
% 0.57/0.99 cnf('0.9.2.0',plain,
% 0.57/0.99 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(inverse(X3)))))))),inverse(multiply(inverse(X2),X2))) = inverse(X3) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.57/0.99 [u,rule_7]).
% 0.57/0.99 cnf('0.10.0.0',plain,
% 0.57/0.99 ( inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X2),X2)))),inverse(multiply(inverse(multiply(X3,multiply(X2,inverse(X4)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X2),X2)))))))))) = multiply(inverse(multiply(inverse(multiply(X5,X6)),multiply(X5,inverse(inverse(multiply(X6,inverse(X4))))))),inverse(multiply(inverse(X6),X6))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.9.2.0','0.2.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1.1.2.2.1.1.2.1','L')]).
% 0.57/0.99 cnf('0.10.0.1',plain,
% 0.57/0.99 ( X4 = multiply(inverse(multiply(inverse(multiply(X5,X6)),multiply(X5,inverse(inverse(multiply(X6,inverse(X4))))))),inverse(multiply(inverse(X6),X6))) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.10.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('0.10.1.0',plain,
% 0.57/0.99 ( X4 = multiply(inverse(multiply(inverse(multiply(X5,X6)),multiply(X5,inverse(inverse(multiply(X6,inverse(X4))))))),inverse(multiply(inverse(X6),X6))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.10.0.1']),
% 0.57/0.99 [weight('<461,9,2,[1,0,0,14]>')]).
% 0.57/0.99 cnf('0.10.2.0',plain,
% 0.57/0.99 ( multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(X3))))))),inverse(multiply(inverse(X2),X2))) = X3 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_8]).
% 0.57/0.99 cnf('0.11.0.0',plain,
% 0.57/0.99 ( multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(multiply(inverse(X3),X3)))))),inverse(multiply(inverse(X1),X1))))) = inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X3)),multiply(X5,inverse(inverse(multiply(X3,inverse(X6))))))),X4)),X6)),inverse(multiply(inverse(X4),X4)))))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.3.2.0','0.10.2.0',theory(equality)]),
% 0.57/0.99 [pos('R.1.2.1.1.1.2','L')]).
% 0.57/0.99 cnf('0.11.0.1',plain,
% 0.57/0.99 ( multiply(inverse(X3),X3) = inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X3)),multiply(X5,inverse(inverse(multiply(X3,inverse(X6))))))),X4)),X6)),inverse(multiply(inverse(X4),X4)))))) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.11.0.0','0.6.2.0',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('0.11.1.0',plain,
% 0.57/0.99 ( multiply(inverse(X3),X3) = inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X3)),multiply(X5,inverse(inverse(multiply(X3,inverse(X6))))))),X4)),X6)),inverse(multiply(inverse(X4),X4)))))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.11.0.1']),
% 0.57/0.99 [weight('<1084,10,3,[0,0,1,11]>')]).
% 0.57/0.99 cnf('0.11.2.0',plain,
% 0.57/0.99 ( inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(multiply(X3,inverse(X4))))))),X1)),X4)),inverse(multiply(inverse(X1),X1)))))) = multiply(inverse(X3),X3) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_9]).
% 0.57/0.99 cnf('0.12.0.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),X1) = inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.11.2.0','0.10.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.1.2.1.1.1.1.1','L')]).
% 0.57/0.99 cnf('0.12.1.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),X1) = inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.57/0.99 [weight('<895,11,10,[1,0,0,8]>')]).
% 0.57/0.99 cnf('0.12.2.0',plain,
% 0.57/0.99 ( inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))) = multiply(inverse(X1),X1) ),
% 0.57/0.99 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_10]).
% 0.57/0.99 cnf('0.14.0.0',plain,
% 0.57/0.99 ( inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(inverse(X4))))),inverse(multiply(inverse(inverse(multiply(X2,X3))),inverse(multiply(X2,X3)))))) = multiply(X2,inverse(inverse(multiply(X3,inverse(multiply(inverse(X4),inverse(multiply(inverse(X3),X3)))))))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.8.2.0','0.6.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2.1.1.2.1.1.1','L')]).
% 0.57/0.99 cnf('0.14.1.0',plain,
% 0.57/0.99 ( inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(inverse(X4))))),inverse(multiply(inverse(inverse(multiply(X2,X3))),inverse(multiply(X2,X3)))))) = multiply(X2,inverse(inverse(multiply(X3,inverse(multiply(inverse(X4),inverse(multiply(inverse(X3),X3)))))))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.57/0.99 [weight('<1203,8,6,[1,0,0,9]>')]).
% 0.57/0.99 cnf('0.14.1.1',plain,
% 0.57/0.99 ( inverse(inverse(multiply(b1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),b1)),X4)),inverse(multiply(inverse(b1),b1))))))) = multiply(X2,inverse(inverse(multiply(X3,inverse(multiply(inverse(X4),inverse(multiply(inverse(X3),X3)))))))) ),
% 0.57/0.99 inference(reduction,[status(thm)],['0.14.1.0','0.7.2.1',theory(equality)]),
% 0.57/0.99 [pos('L.1','L')]).
% 0.57/0.99 cnf('0.14.2.0',plain,
% 0.57/0.99 ( inverse(inverse(multiply(b1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),b1)),X3)),inverse(multiply(inverse(b1),b1))))))) = multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(inverse(X2),X2)))))))) ),
% 0.57/0.99 inference(activate,[status(thm)],['0.14.1.1']),
% 0.57/0.99 [equation_4]).
% 0.57/0.99 cnf('0.15.0.0',plain,
% 0.57/0.99 ( X1 = multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(multiply(X3,inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),X3))))))))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.8.2.0','0.14.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2','L')]).
% 0.57/0.99 cnf('0.15.1.0',plain,
% 0.57/0.99 ( X1 = multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(multiply(X3,inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),X3))))))))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.57/0.99 [weight('<461,14,8,[0,0,0,2]>')]).
% 0.57/0.99 cnf('0.15.2.0',plain,
% 0.57/0.99 ( multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(inverse(X2),X2))))))))) = X3 ),
% 0.57/0.99 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.57/0.99 [x,rule_11]).
% 0.57/0.99 cnf('0.19.0.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))),multiply(X2,inverse(multiply(inverse(X3),X3)))) ),
% 0.57/0.99 inference(cp,[status(thm)],['0.15.2.0','0.12.2.0',theory(equality)]),
% 0.57/0.99 [pos('L.2.2.1','L')]).
% 0.57/0.99 cnf('0.19.1.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))),multiply(X2,inverse(multiply(inverse(X3),X3)))) ),
% 0.57/0.99 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.57/0.99 [weight('<440,15,12,[1,0,0,8]>')]).
% 0.57/0.99 cnf('0.19.2.0',plain,
% 0.57/0.99 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))),multiply(X2,inverse(multiply(inverse(X3),X3)))) ),
% 0.57/0.99 inference(activate,[status(thm)],['0.19.1.0']),
% 0.57/0.99 [equation_8]).
% 0.57/0.99 cnf('0.19.2.1',plain,
% 0.57/0.99 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(b1,inverse(multiply(inverse(b1),b1)))),multiply(b1,inverse(multiply(inverse(b1),b1)))) ),
% 0.57/0.99 inference(instr,[status(thm)],['0.19.2.0',theory(equality)])).
% 0.57/0.99 cnf('0.19.2.2',plain,
% 0.57/0.99 ( multiply(inverse(b1),b1) = multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(multiply(inverse(X2),X2)))) ),
% 0.57/0.99 inference(instl,[status(thm)],['0.19.2.0',theory(equality)])).
% 0.57/0.99 cnf('1.0.0.0',conjecture,
% 0.57/0.99 ( multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
% 0.57/0.99 file('/tmp/WALDMEISTER_23053_n011',conjecture_1)).
% 0.57/0.99 cnf('1.0.0.1',plain,
% 0.57/0.99 ( multiply(inverse(multiply(b1,inverse(multiply(inverse(b1),b1)))),multiply(b1,inverse(multiply(inverse(b1),b1)))) = multiply(inverse(b1),b1) ),
% 0.57/0.99 inference(reduction,[status(thm)],['1.0.0.0','0.19.2.1',theory(equality)]),
% 0.57/0.99 [pos('L','L')]).
% 0.57/0.99 cnf('1.0.0.2',plain,
% 0.57/0.99 ( multiply(inverse(multiply(b1,inverse(multiply(inverse(b1),b1)))),multiply(b1,inverse(multiply(inverse(b1),b1)))) = multiply(inverse(multiply(b1,inverse(multiply(inverse(b1),b1)))),multiply(b1,inverse(multiply(inverse(b1),b1)))) ),
% 0.57/0.99 inference(reduction,[status(thm)],['1.0.0.1','0.19.2.1',theory(equality)]),
% 0.57/0.99 [pos('R','L')]).
% 0.57/0.99 cnf('1.0.0.3',plain,
% 0.57/0.99 ( $true ),
% 0.57/0.99 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.57/0.99 [conjecture_1]).
% 0.57/0.99
% 0.57/0.99 Proved Goals:
% 0.57/0.99 No. 1: multiply(inverse(a1),a1) ?= multiply(inverse(b1),b1) joined, current: multiply(inverse(multiply(b1,inverse(multiply(inverse(b1),b1)))),multiply(b1,inverse(multiply(inverse(b1),b1)))) = multiply(inverse(multiply(b1,inverse(multiply(inverse(b1),b1)))),multiply(b1,inverse(multiply(inverse(b1),b1))))
% 0.57/0.99 1 goal was specified, which was proved.
% 0.57/0.99 % SZS output end CNFRefutation
% 0.57/0.99 #END OF PROOF
% 0.57/0.99
% 0.57/0.99 Problem WALDMEISTER_23053_n011
% 0.57/0.99 CPs.gen 906
% 0.57/0.99 CPs.reexp 0
% 0.57/0.99 Select 34
% 0.57/0.99 R 11
% 0.57/0.99 E 8
% 0.57/0.99 vsize 6.4M
% 0.57/0.99 rss 3.7M
% 0.57/0.99 process.time 0.015s
% 0.57/0.99 wallclock.time 0.015s
% 0.57/0.99 status S
% 0.57/0.99
% 0.57/0.99
% 0.57/0.99 Waldmeister states: Goal proved.
% 0.57/0.99 % SZS status Unsatisfiable
%------------------------------------------------------------------------------