TSTP Solution File: GRP409-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP409-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n017.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 12:26:09 EDT 2022
% Result : Unsatisfiable 0.56s 0.98s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP409-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 13:03:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.56/0.97 ********************************************************************************
% 0.56/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.56/0.97 * |/ | \/ | *
% 0.56/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.56/0.97 * A. Jaeger and B. Loechner | | *
% 0.56/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.56/0.97 ********************************************************************************
% 0.56/0.97
% 0.56/0.97
% 0.56/0.97 Goals:
% 0.56/0.97 ------
% 0.56/0.97
% 0.56/0.97 ( 1) multiply(inverse(a1),a1) ?=? multiply(inverse(b1),b1)
% 0.56/0.97
% 0.56/0.97 Detected structure: Orkus
% 0.56/0.97 ********************************************************************************
% 0.56/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.56/0.97 ********************************************************************************
% 0.56/0.97
% 0.56/0.98 joined goal: 1 multiply(inverse(a1),a1) ?= multiply(inverse(b1),b1) to multiply(inverse(multiply(b1,inverse(multiply(inverse(multiply(inverse(b1),b1)),b1)))),multiply(b1,inverse(b1)))
% 0.56/0.98 goal joined
% 0.56/0.98 % SZS status Unsatisfiable
% 0.56/0.98 #START OF PROOF
% 0.56/0.98 % SZS output start CNFRefutation
% 0.56/0.98 cnf('0.1.0.0',axiom,
% 0.56/0.98 ( X1 = multiply(multiply(inverse(multiply(X2,inverse(multiply(X1,X3)))),multiply(X2,inverse(X3))),inverse(multiply(inverse(X3),X3))) ),
% 0.56/0.98 file('/tmp/WALDMEISTER_25747_n017')).
% 0.56/0.98 cnf('0.1.1.0',plain,
% 0.56/0.98 ( X1 = multiply(multiply(inverse(multiply(X2,inverse(multiply(X1,X3)))),multiply(X2,inverse(X3))),inverse(multiply(inverse(X3),X3))) ),
% 0.56/0.98 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.56/0.98 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.56/0.98 cnf('0.1.2.0',plain,
% 0.56/0.98 ( multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))),inverse(multiply(inverse(X3),X3))) = X2 ),
% 0.56/0.98 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.56/0.98 [x,rule_1]).
% 0.56/0.98 cnf('0.2.0.0',plain,
% 0.56/0.98 ( inverse(X1) = multiply(multiply(inverse(X2),multiply(multiply(inverse(multiply(X3,inverse(multiply(X2,X1)))),multiply(X3,inverse(X1))),inverse(X1))),inverse(multiply(inverse(X1),X1))) ),
% 0.56/0.98 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.56/0.98 [pos('L.1.1.1','L')]).
% 0.56/0.98 cnf('0.2.1.0',plain,
% 0.56/0.98 ( inverse(X1) = multiply(multiply(inverse(X2),multiply(multiply(inverse(multiply(X3,inverse(multiply(X2,X1)))),multiply(X3,inverse(X1))),inverse(X1))),inverse(multiply(inverse(X1),X1))) ),
% 0.56/0.98 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.56/0.98 [weight('<?,1,1,[0,0,0,3]>')]).
% 0.56/0.98 cnf('0.2.2.0',plain,
% 0.56/0.98 ( multiply(multiply(inverse(X1),multiply(multiply(inverse(multiply(X2,inverse(multiply(X1,X3)))),multiply(X2,inverse(X3))),inverse(X3))),inverse(multiply(inverse(X3),X3))) = inverse(X3) ),
% 0.56/0.98 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.56/0.98 [x,rule_2]).
% 0.56/0.98 cnf('0.6.0.0',plain,
% 0.56/0.98 ( multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))) = multiply(multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))) ),
% 0.56/0.98 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.56/0.98 [pos('L.1.1.1.2.1','L')]).
% 0.56/0.98 cnf('0.6.1.0',plain,
% 0.56/0.98 ( multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))) = multiply(multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))) ),
% 0.56/0.98 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.56/0.98 [weight('<1680,1,1,[0,0,0,6]>')]).
% 0.56/0.98 cnf('0.6.2.0',plain,
% 0.56/0.98 ( multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))) = multiply(multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))) ),
% 0.56/0.98 inference(activate,[status(thm)],['0.6.1.0']),
% 0.56/0.98 [equation_1]).
% 0.56/0.98 cnf('0.6.2.1',plain,
% 0.56/0.98 ( multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))) = multiply(multiply(inverse(multiply(b1,inverse(X2))),multiply(b1,inverse(inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))) ),
% 0.56/0.98 inference(instr,[status(thm)],['0.6.2.0',theory(equality)])).
% 0.56/0.98 cnf('0.6.2.2',plain,
% 0.56/0.98 ( multiply(inverse(multiply(b1,inverse(multiply(X2,X3)))),multiply(b1,inverse(X3))) = multiply(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))) ),
% 0.56/0.98 inference(instl,[status(thm)],['0.6.2.0',theory(equality)])).
% 0.56/0.98 cnf('0.7.0.0',plain,
% 0.56/0.98 ( multiply(inverse(multiply(X1,inverse(multiply(multiply(X2,inverse(multiply(inverse(X3),X3))),X3)))),multiply(X1,inverse(X3))) = X2 ),
% 0.56/0.98 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 0.56/0.98 [pos('R','L')]).
% 0.56/0.98 cnf('0.7.1.0',plain,
% 0.56/0.98 ( multiply(inverse(multiply(X1,inverse(multiply(multiply(X2,inverse(multiply(inverse(X3),X3))),X3)))),multiply(X1,inverse(X3))) = X2 ),
% 0.56/0.98 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.56/0.98 [weight('<379,6,1,[1,1,0,0]>')]).
% 0.56/0.98 cnf('0.7.2.0',plain,
% 0.56/0.98 ( multiply(inverse(multiply(X1,inverse(multiply(multiply(X2,inverse(multiply(inverse(X3),X3))),X3)))),multiply(X1,inverse(X3))) = X2 ),
% 0.56/0.98 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.56/0.98 [u,rule_6]).
% 0.56/0.98 cnf('0.8.0.0',plain,
% 0.56/0.98 ( multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))) = multiply(inverse(multiply(X4,inverse(multiply(X2,X3)))),multiply(X4,inverse(X3))) ),
% 0.56/0.98 inference(cp,[status(thm)],['0.6.2.0','0.6.2.0',theory(equality)]),
% 0.56/0.98 [pos('R','R')]).
% 0.56/0.98 cnf('0.8.1.0',plain,
% 0.56/0.98 ( multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))) = multiply(inverse(multiply(X4,inverse(multiply(X2,X3)))),multiply(X4,inverse(X3))) ),
% 0.56/0.98 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.56/0.98 [weight('<624,6,6,[1,1,1,0]>')]).
% 0.56/0.98 cnf('0.8.2.0',plain,
% 0.56/0.98 ( multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))) = multiply(inverse(multiply(X4,inverse(multiply(X2,X3)))),multiply(X4,inverse(X3))) ),
% 0.56/0.98 inference(activate,[status(thm)],['0.8.1.0']),
% 0.56/0.98 [equation_2]).
% 0.56/0.98 cnf('0.8.2.1',plain,
% 0.56/0.98 ( multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))) = multiply(inverse(multiply(b1,inverse(multiply(X2,X3)))),multiply(b1,inverse(X3))) ),
% 0.56/0.98 inference(instr,[status(thm)],['0.8.2.0',theory(equality)])).
% 0.56/0.98 cnf('0.8.2.2',plain,
% 0.56/0.98 ( multiply(inverse(multiply(b1,inverse(multiply(X2,X3)))),multiply(b1,inverse(X3))) = multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))) ),
% 0.56/0.98 inference(instl,[status(thm)],['0.8.2.0',theory(equality)])).
% 0.56/0.98 cnf('0.9.0.0',plain,
% 0.56/0.98 ( multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(X2,inverse(multiply(multiply(X3,inverse(multiply(inverse(X4),X4))),X4)))),multiply(X2,inverse(X4)))))),multiply(X1,inverse(multiply(X2,inverse(X4))))) = multiply(inverse(multiply(X5,inverse(X3))),multiply(X5,inverse(multiply(X2,inverse(X4))))) ),
% 0.56/0.98 inference(cp,[status(thm)],['0.8.2.0','0.7.2.0',theory(equality)]),
% 0.56/0.98 [pos('L.1.1.2.1','L')]).
% 0.56/0.98 cnf('0.9.0.1',plain,
% 0.56/0.98 ( multiply(inverse(multiply(X1,inverse(X3))),multiply(X1,inverse(multiply(X2,inverse(X4))))) = multiply(inverse(multiply(X5,inverse(X3))),multiply(X5,inverse(multiply(X2,inverse(X4))))) ),
% 0.56/0.98 inference(reduction,[status(thm)],['0.9.0.0','0.7.2.0',theory(equality)]),
% 0.56/0.98 [pos('L.1.1.2.1','L')]).
% 0.56/0.98 cnf('0.9.1.0',plain,
% 0.56/0.98 ( multiply(inverse(multiply(X1,inverse(X3))),multiply(X1,inverse(multiply(X2,inverse(X4))))) = multiply(inverse(multiply(X5,inverse(X3))),multiply(X5,inverse(multiply(X2,inverse(X4))))) ),
% 0.56/0.98 inference(weigh,[status(thm)],['0.9.0.1']),
% 0.56/0.98 [weight('<728,8,7,[1,0,0,5]>')]).
% 0.56/0.98 cnf('0.9.2.0',plain,
% 0.56/0.98 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(X3,inverse(X4))))) = multiply(inverse(multiply(X5,inverse(X2))),multiply(X5,inverse(multiply(X3,inverse(X4))))) ),
% 0.56/0.98 inference(activate,[status(thm)],['0.9.1.0']),
% 0.56/0.98 [equation_3]).
% 0.56/0.98 cnf('0.9.2.1',plain,
% 0.56/0.98 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(X3,inverse(X4))))) = multiply(inverse(multiply(b1,inverse(X2))),multiply(b1,inverse(multiply(X3,inverse(X4))))) ),
% 0.56/0.98 inference(instr,[status(thm)],['0.9.2.0',theory(equality)])).
% 0.56/0.98 cnf('0.9.2.2',plain,
% 0.56/0.98 ( multiply(inverse(multiply(b1,inverse(X2))),multiply(b1,inverse(multiply(X3,inverse(X4))))) = multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(X3,inverse(X4))))) ),
% 0.56/0.98 inference(instl,[status(thm)],['0.9.2.0',theory(equality)])).
% 0.56/0.98 cnf('0.10.0.0',plain,
% 0.56/0.98 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(multiply(inverse(multiply(X3,inverse(multiply(X4,X5)))),multiply(X3,inverse(X5))),inverse(multiply(inverse(X5),X5)))))) = multiply(inverse(multiply(X6,inverse(X2))),multiply(X6,inverse(X4))) ),
% 0.56/0.98 inference(cp,[status(thm)],['0.9.2.0','0.1.2.0',theory(equality)]),
% 0.56/0.98 [pos('L.2.2.1','L')]).
% 0.56/0.98 cnf('0.10.0.1',plain,
% 0.56/0.98 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X4))) = multiply(inverse(multiply(X6,inverse(X2))),multiply(X6,inverse(X4))) ),
% 0.56/0.98 inference(reduction,[status(thm)],['0.10.0.0','0.1.2.0',theory(equality)]),
% 0.56/0.98 [pos('L.2.2.1','L')]).
% 0.56/0.98 cnf('0.10.1.0',plain,
% 0.56/0.98 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X4))) = multiply(inverse(multiply(X6,inverse(X2))),multiply(X6,inverse(X4))) ),
% 0.56/0.98 inference(weigh,[status(thm)],['0.10.0.1']),
% 0.56/0.98 [weight('<440,9,1,[1,0,0,9]>')]).
% 0.56/0.98 cnf('0.10.2.0',plain,
% 0.56/0.98 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3))) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(X3))) ),
% 0.56/0.98 inference(activate,[status(thm)],['0.10.1.0']),
% 0.56/0.98 [equation_4]).
% 0.56/0.98 cnf('0.10.2.1',plain,
% 0.56/0.98 ( multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3))) = multiply(inverse(multiply(b1,inverse(X2))),multiply(b1,inverse(X3))) ),
% 0.56/0.98 inference(instr,[status(thm)],['0.10.2.0',theory(equality)])).
% 0.56/0.98 cnf('0.10.2.2',plain,
% 0.56/0.98 ( multiply(inverse(multiply(b1,inverse(X2))),multiply(b1,inverse(X3))) = multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3))) ),
% 0.56/0.98 inference(instl,[status(thm)],['0.10.2.0',theory(equality)])).
% 0.56/0.98 cnf('0.11.0.0',plain,
% 0.56/0.98 ( X1 = multiply(multiply(inverse(multiply(X2,inverse(multiply(X1,multiply(X3,inverse(X4)))))),multiply(X2,inverse(multiply(X3,inverse(X4))))),inverse(multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(X4))))) ),
% 0.56/0.98 inference(cp,[status(thm)],['0.1.2.0','0.10.2.0',theory(equality)]),
% 0.56/0.98 [pos('L.2.1','L')]).
% 0.56/0.98 cnf('0.11.1.0',plain,
% 0.56/0.98 ( X1 = multiply(multiply(inverse(multiply(X2,inverse(multiply(X1,multiply(X3,inverse(X4)))))),multiply(X2,inverse(multiply(X3,inverse(X4))))),inverse(multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(X4))))) ),
% 0.56/0.98 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.56/0.98 [weight('<991,10,1,[0,0,0,14]>')]).
% 0.56/0.98 cnf('0.11.2.0',plain,
% 0.56/0.98 ( multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(X3,inverse(X4)))))),multiply(X1,inverse(multiply(X3,inverse(X4))))),inverse(multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(X4))))) = X2 ),
% 0.56/0.98 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.56/0.98 [x,rule_7]).
% 0.56/0.98 cnf('0.13.0.0',plain,
% 0.56/0.98 ( X1 = multiply(multiply(inverse(multiply(X2,inverse(multiply(X1,X3)))),multiply(X2,inverse(multiply(multiply(inverse(multiply(X4,inverse(multiply(X3,X5)))),multiply(X4,inverse(X5))),inverse(multiply(inverse(X5),X5)))))),inverse(multiply(inverse(multiply(X6,inverse(multiply(inverse(X5),X5)))),multiply(X6,inverse(multiply(inverse(X5),X5)))))) ),
% 0.56/0.98 inference(cp,[status(thm)],['0.11.2.0','0.1.2.0',theory(equality)]),
% 0.56/0.98 [pos('L.1.1.1.2.1.2','L')]).
% 0.56/0.98 cnf('0.13.0.1',plain,
% 0.56/0.98 ( X1 = multiply(multiply(inverse(multiply(X2,inverse(multiply(X1,X3)))),multiply(X2,inverse(X3))),inverse(multiply(inverse(multiply(X6,inverse(multiply(inverse(X5),X5)))),multiply(X6,inverse(multiply(inverse(X5),X5)))))) ),
% 0.56/0.98 inference(reduction,[status(thm)],['0.13.0.0','0.1.2.0',theory(equality)]),
% 0.56/0.98 [pos('R.1.2.2.1','L')]).
% 0.56/0.98 cnf('0.13.1.0',plain,
% 0.56/0.98 ( X1 = multiply(multiply(inverse(multiply(X2,inverse(multiply(X1,X3)))),multiply(X2,inverse(X3))),inverse(multiply(inverse(multiply(X6,inverse(multiply(inverse(X5),X5)))),multiply(X6,inverse(multiply(inverse(X5),X5)))))) ),
% 0.56/0.98 inference(weigh,[status(thm)],['0.13.0.1']),
% 0.56/0.98 [weight('<991,11,1,[1,0,0,8]>')]).
% 0.56/0.98 cnf('0.13.2.0',plain,
% 0.56/0.98 ( multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))),inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X5),X5)))),multiply(X4,inverse(multiply(inverse(X5),X5)))))) = X2 ),
% 0.56/0.98 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.56/0.98 [x,rule_9]).
% 0.56/0.98 cnf('0.14.0.0',plain,
% 0.56/0.98 ( X1 = multiply(multiply(inverse(multiply(X2,inverse(multiply(X1,X3)))),multiply(X2,inverse(X3))),inverse(multiply(inverse(X4),multiply(multiply(inverse(multiply(X5,inverse(multiply(X4,X6)))),multiply(X5,inverse(X6))),inverse(multiply(inverse(X6),X6)))))) ),
% 0.56/0.98 inference(cp,[status(thm)],['0.13.2.0','0.1.2.0',theory(equality)]),
% 0.56/0.98 [pos('L.2.1.1.1','L')]).
% 0.56/0.98 cnf('0.14.0.1',plain,
% 0.56/0.98 ( X1 = multiply(multiply(inverse(multiply(X2,inverse(multiply(X1,X3)))),multiply(X2,inverse(X3))),inverse(multiply(inverse(X4),X4))) ),
% 0.56/0.98 inference(reduction,[status(thm)],['0.14.0.0','0.1.2.0',theory(equality)]),
% 0.56/0.98 [pos('R.2.1.2','L')]).
% 0.56/0.98 cnf('0.14.1.0',plain,
% 0.56/0.98 ( X1 = multiply(multiply(inverse(multiply(X2,inverse(multiply(X1,X3)))),multiply(X2,inverse(X3))),inverse(multiply(inverse(X4),X4))) ),
% 0.56/0.98 inference(weigh,[status(thm)],['0.14.0.1']),
% 0.56/0.98 [weight('<379,13,1,[1,0,0,16]>')]).
% 0.56/0.98 cnf('0.14.2.0',plain,
% 0.56/0.98 ( multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))),inverse(multiply(inverse(X4),X4))) = X2 ),
% 0.56/0.98 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.56/0.98 [x,rule_10]).
% 0.56/0.98 cnf('0.15.0.0',plain,
% 0.56/0.98 ( multiply(X1,inverse(multiply(inverse(X2),X2))) = multiply(X1,inverse(multiply(inverse(X3),X3))) ),
% 0.56/0.98 inference(cp,[status(thm)],['0.14.2.0','0.7.2.0',theory(equality)]),
% 0.56/0.98 [pos('L.1','L')]).
% 0.56/0.98 cnf('0.15.1.0',plain,
% 0.56/0.98 ( multiply(X1,inverse(multiply(inverse(X2),X2))) = multiply(X1,inverse(multiply(inverse(X3),X3))) ),
% 0.56/0.98 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.56/0.98 [weight('<224,14,7,[1,0,0,1]>')]).
% 0.56/0.98 cnf('0.15.2.0',plain,
% 0.56/0.98 ( multiply(X1,inverse(multiply(inverse(X2),X2))) = multiply(X1,inverse(multiply(inverse(X3),X3))) ),
% 0.56/0.98 inference(activate,[status(thm)],['0.15.1.0']),
% 0.56/0.98 [equation_5]).
% 0.56/0.98 cnf('0.15.2.1',plain,
% 0.56/0.98 ( multiply(X1,inverse(multiply(inverse(X2),X2))) = multiply(X1,inverse(multiply(inverse(b1),b1))) ),
% 0.56/0.98 inference(instr,[status(thm)],['0.15.2.0',theory(equality)])).
% 0.56/0.98 cnf('0.15.2.2',plain,
% 0.56/0.98 ( multiply(X1,inverse(multiply(inverse(b1),b1))) = multiply(X1,inverse(multiply(inverse(X2),X2))) ),
% 0.56/0.98 inference(instl,[status(thm)],['0.15.2.0',theory(equality)])).
% 0.56/0.98 cnf('0.16.0.0',plain,
% 0.56/0.98 ( inverse(multiply(inverse(X1),X1)) = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1)))) ),
% 0.56/0.98 inference(cp,[status(thm)],['0.2.2.0','0.14.2.0',theory(equality)]),
% 0.56/0.98 [pos('L.1.2','L')]).
% 0.56/0.98 cnf('0.16.1.0',plain,
% 0.56/0.98 ( inverse(multiply(inverse(X1),X1)) = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1)))) ),
% 0.56/0.98 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.56/0.98 [weight('<373,14,2,[0,0,0,4]>')]).
% 0.56/0.98 cnf('0.16.1.1',plain,
% 0.56/0.98 ( inverse(multiply(inverse(X1),X1)) = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(b1),b1))) ),
% 0.56/0.98 inference(reduction,[status(thm)],['0.16.1.0','0.15.2.1',theory(equality)]),
% 0.56/0.98 [pos('R','L')]).
% 0.56/0.98 cnf('0.16.2.0',plain,
% 0.56/0.98 ( inverse(multiply(inverse(X1),X1)) = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(b1),b1))) ),
% 0.56/0.98 inference(activate,[status(thm)],['0.16.1.1']),
% 0.56/0.98 [equation_6]).
% 0.56/0.98 cnf('0.16.2.1',plain,
% 0.56/0.98 ( inverse(multiply(inverse(X1),X1)) = multiply(multiply(inverse(b1),b1),inverse(multiply(inverse(b1),b1))) ),
% 0.56/0.98 inference(instr,[status(thm)],['0.16.2.0',theory(equality)])).
% 0.56/0.98 cnf('0.16.2.2',plain,
% 0.56/0.98 ( inverse(multiply(inverse(b1),b1)) = multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(b1),b1))) ),
% 0.56/0.98 inference(instl,[status(thm)],['0.16.2.0',theory(equality)])).
% 0.56/0.98 cnf('0.17.0.0',plain,
% 0.56/0.98 ( inverse(multiply(inverse(X1),X1)) = inverse(multiply(inverse(X2),X2)) ),
% 0.56/0.98 inference(cp,[status(thm)],['0.16.2.0','0.16.2.0',theory(equality)]),
% 0.56/0.98 [pos('R','R')]).
% 0.56/0.98 cnf('0.17.1.0',plain,
% 0.56/0.98 ( inverse(multiply(inverse(X1),X1)) = inverse(multiply(inverse(X2),X2)) ),
% 0.56/0.98 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.56/0.98 [weight('<120,16,16,[1,1,1,0]>')]).
% 0.56/0.98 cnf('0.17.2.0',plain,
% 0.56/0.98 ( inverse(multiply(inverse(X1),X1)) = inverse(multiply(inverse(X2),X2)) ),
% 0.56/0.98 inference(activate,[status(thm)],['0.17.1.0']),
% 0.56/0.98 [equation_7]).
% 0.56/0.98 cnf('0.17.2.1',plain,
% 0.56/0.98 ( inverse(multiply(inverse(X1),X1)) = inverse(multiply(inverse(b1),b1)) ),
% 0.56/0.98 inference(instr,[status(thm)],['0.17.2.0',theory(equality)])).
% 0.56/0.98 cnf('0.17.2.2',plain,
% 0.56/0.98 ( inverse(multiply(inverse(b1),b1)) = inverse(multiply(inverse(X1),X1)) ),
% 0.56/0.98 inference(instl,[status(thm)],['0.17.2.0',theory(equality)])).
% 0.56/0.98 cnf('0.18.0.0',plain,
% 0.56/0.98 ( inverse(multiply(inverse(X1),X1)) = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X3),X3))) ),
% 0.56/0.98 inference(cp,[status(thm)],['0.16.2.0','0.17.2.0',theory(equality)]),
% 0.56/0.98 [pos('R.2','L')]).
% 0.56/0.98 cnf('0.18.1.0',plain,
% 0.56/0.98 ( inverse(multiply(inverse(X1),X1)) = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X3),X3))) ),
% 0.56/0.98 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.56/0.98 [weight('<255,17,16,[0,0,1,5]>')]).
% 0.56/0.98 cnf('0.18.2.0',plain,
% 0.56/0.98 ( inverse(multiply(inverse(X1),X1)) = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X3),X3))) ),
% 0.56/0.98 inference(activate,[status(thm)],['0.18.1.0']),
% 0.56/0.98 [equation_8]).
% 0.56/0.98 cnf('0.18.2.1',plain,
% 0.56/0.98 ( inverse(multiply(inverse(X1),X1)) = multiply(multiply(inverse(b1),b1),inverse(multiply(inverse(b1),b1))) ),
% 0.56/0.98 inference(instr,[status(thm)],['0.18.2.0',theory(equality)])).
% 0.56/0.98 cnf('0.18.2.2',plain,
% 0.56/0.98 ( inverse(multiply(inverse(b1),b1)) = multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X2))) ),
% 0.56/0.98 inference(instl,[status(thm)],['0.18.2.0',theory(equality)])).
% 0.56/0.98 cnf('0.20.0.0',plain,
% 0.56/0.98 ( X1 = multiply(inverse(multiply(X2,inverse(multiply(multiply(X1,inverse(multiply(inverse(X3),X3))),X4)))),multiply(X2,inverse(X4))) ),
% 0.56/0.98 inference(cp,[status(thm)],['0.7.2.0','0.17.2.0',theory(equality)]),
% 0.56/0.98 [pos('L.1.1.2.1.1.2','L')]).
% 0.56/0.98 cnf('0.20.1.0',plain,
% 0.56/0.98 ( X1 = multiply(inverse(multiply(X2,inverse(multiply(multiply(X1,inverse(multiply(inverse(X3),X3))),X4)))),multiply(X2,inverse(X4))) ),
% 0.56/0.98 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.56/0.98 [weight('<379,17,7,[0,0,0,8]>')]).
% 0.56/0.98 cnf('0.20.2.0',plain,
% 0.56/0.98 ( multiply(inverse(multiply(X1,inverse(multiply(multiply(X2,inverse(multiply(inverse(X3),X3))),X4)))),multiply(X1,inverse(X4))) = X2 ),
% 0.56/0.98 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.56/0.98 [x,rule_11]).
% 0.56/0.98 cnf('0.22.0.0',plain,
% 0.56/0.98 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X3),X3)),X4)))),multiply(X2,inverse(X4))) ),
% 0.56/0.98 inference(cp,[status(thm)],['0.20.2.0','0.18.2.0',theory(equality)]),
% 0.56/0.98 [pos('L.1.1.2.1.1','R')]).
% 0.56/0.98 cnf('0.22.1.0',plain,
% 0.56/0.98 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X3),X3)),X4)))),multiply(X2,inverse(X4))) ),
% 0.56/0.98 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.56/0.98 [weight('<440,20,18,[1,0,1,6]>')]).
% 0.56/0.98 cnf('0.22.2.0',plain,
% 0.56/0.98 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X3),X3)),X4)))),multiply(X2,inverse(X4))) ),
% 0.56/0.98 inference(activate,[status(thm)],['0.22.1.0']),
% 0.56/0.98 [equation_10]).
% 0.56/0.98 cnf('0.22.2.1',plain,
% 0.56/0.98 ( multiply(inverse(X1),X1) = multiply(inverse(multiply(b1,inverse(multiply(inverse(multiply(inverse(b1),b1)),b1)))),multiply(b1,inverse(b1))) ),
% 0.56/0.98 inference(instr,[status(thm)],['0.22.2.0',theory(equality)])).
% 0.56/0.98 cnf('0.22.2.2',plain,
% 0.56/0.98 ( multiply(inverse(b1),b1) = multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),X2)),X3)))),multiply(X1,inverse(X3))) ),
% 0.56/0.98 inference(instl,[status(thm)],['0.22.2.0',theory(equality)])).
% 0.56/0.98 cnf('1.0.0.0',conjecture,
% 0.56/0.98 ( multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
% 0.56/0.98 file('/tmp/WALDMEISTER_25747_n017',conjecture_1)).
% 0.56/0.98 cnf('1.0.0.1',plain,
% 0.56/0.98 ( multiply(inverse(multiply(b1,inverse(multiply(inverse(multiply(inverse(b1),b1)),b1)))),multiply(b1,inverse(b1))) = multiply(inverse(b1),b1) ),
% 0.56/0.98 inference(reduction,[status(thm)],['1.0.0.0','0.22.2.1',theory(equality)]),
% 0.56/0.98 [pos('L','L')]).
% 0.56/0.98 cnf('1.0.0.2',plain,
% 0.56/0.98 ( multiply(inverse(multiply(b1,inverse(multiply(inverse(multiply(inverse(b1),b1)),b1)))),multiply(b1,inverse(b1))) = multiply(inverse(multiply(b1,inverse(multiply(inverse(multiply(inverse(b1),b1)),b1)))),multiply(b1,inverse(b1))) ),
% 0.56/0.98 inference(reduction,[status(thm)],['1.0.0.1','0.22.2.1',theory(equality)]),
% 0.56/0.98 [pos('R','L')]).
% 0.56/0.98 cnf('1.0.0.3',plain,
% 0.56/0.98 ( $true ),
% 0.56/0.98 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.56/0.98 [conjecture_1]).
% 0.56/0.98
% 0.56/0.98 Proved Goals:
% 0.56/0.98 No. 1: multiply(inverse(a1),a1) ?= multiply(inverse(b1),b1) joined, current: multiply(inverse(multiply(b1,inverse(multiply(inverse(multiply(inverse(b1),b1)),b1)))),multiply(b1,inverse(b1))) = multiply(inverse(multiply(b1,inverse(multiply(inverse(multiply(inverse(b1),b1)),b1)))),multiply(b1,inverse(b1)))
% 0.56/0.98 1 goal was specified, which was proved.
% 0.56/0.98 % SZS output end CNFRefutation
% 0.56/0.98 #END OF PROOF
% 0.56/0.98
% 0.56/0.98 Problem WALDMEISTER_25747_n017
% 0.56/0.98 CPs.gen 978
% 0.56/0.98 CPs.reexp 0
% 0.56/0.98 Select 60
% 0.56/0.98 R 12
% 0.56/0.98 E 10
% 0.56/0.98 vsize 6.4M
% 0.56/0.98 rss 3.7M
% 0.56/0.98 process.time 0.010s
% 0.56/0.98 wallclock.time 0.010s
% 0.56/0.98 status S
% 0.56/0.98
% 0.56/0.98
% 0.56/0.98 Waldmeister states: Goal proved.
% 0.56/0.98 % SZS status Unsatisfiable
%------------------------------------------------------------------------------