TSTP Solution File: GRP432-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP432-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 12:26:14 EDT 2022
% Result : Unsatisfiable 0.35s 1.03s
% Output : CNFRefutation 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP432-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.14 % Command : woody %s
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jun 13 20:37:57 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.35/1.02 ********************************************************************************
% 0.35/1.02 * W A L D M E I S T E R \| \ / \|/ *
% 0.35/1.02 * |/ | \/ | *
% 0.35/1.02 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.35/1.02 * A. Jaeger and B. Loechner | | *
% 0.35/1.02 * <waldmeister@informatik.uni-kl.de> | *
% 0.35/1.02 ********************************************************************************
% 0.35/1.02
% 0.35/1.02
% 0.35/1.02 Goals:
% 0.35/1.02 ------
% 0.35/1.02
% 0.35/1.02 ( 1) multiply(multiply(a3,b3),c3) ?=? multiply(a3,multiply(b3,c3))
% 0.35/1.02
% 0.35/1.02 Detected structure: Orkus
% 0.35/1.02 ********************************************************************************
% 0.35/1.02 ****************************** COMPLETION - PROOF ******************************
% 0.35/1.02 ********************************************************************************
% 0.35/1.02
% 0.35/1.03 joined goal: 1 multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) to multiply(a3,multiply(b3,c3))
% 0.35/1.03 goal joined
% 0.35/1.03 % SZS status Unsatisfiable
% 0.35/1.03 #START OF PROOF
% 0.35/1.03 % SZS output start CNFRefutation
% 0.35/1.03 cnf('0.1.0.0',axiom,
% 0.35/1.03 ( X1 = multiply(X2,inverse(multiply(X3,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X1,X3))),X2)))) ),
% 0.35/1.03 file('/tmp/WALDMEISTER_10919_n021')).
% 0.35/1.03 cnf('0.1.1.0',plain,
% 0.35/1.03 ( X1 = multiply(X2,inverse(multiply(X3,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X1,X3))),X2)))) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.35/1.03 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.35/1.03 cnf('0.1.2.0',plain,
% 0.35/1.03 ( multiply(X1,inverse(multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,X2))),X1)))) = X4 ),
% 0.35/1.03 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.35/1.03 [x,rule_1]).
% 0.35/1.03 cnf('0.3.0.0',plain,
% 0.35/1.03 ( X1 = multiply(X2,inverse(multiply(multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,X1))),multiply(X5,inverse(X5))),multiply(X4,X2)))) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2.1.2.1','L')]).
% 0.35/1.03 cnf('0.3.1.0',plain,
% 0.35/1.03 ( X1 = multiply(X2,inverse(multiply(multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,X1))),multiply(X5,inverse(X5))),multiply(X4,X2)))) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.35/1.03 [weight('<505,1,1,[0,0,0,6]>')]).
% 0.35/1.03 cnf('0.3.2.0',plain,
% 0.35/1.03 ( multiply(X1,inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X4))),multiply(X5,inverse(X5))),multiply(X3,X1)))) = X4 ),
% 0.35/1.03 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.35/1.03 [x,rule_3]).
% 0.35/1.03 cnf('0.4.0.0',plain,
% 0.35/1.03 ( multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))),multiply(X4,inverse(X4))) = multiply(X5,inverse(multiply(multiply(X2,multiply(X6,inverse(X6))),multiply(X3,X5)))) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.1.2.0','0.3.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2.1.2.1','L')]).
% 0.35/1.03 cnf('0.4.1.0',plain,
% 0.35/1.03 ( multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))),multiply(X4,inverse(X4))) = multiply(X5,inverse(multiply(multiply(X2,multiply(X6,inverse(X6))),multiply(X3,X5)))) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.35/1.03 [weight('<783,3,1,[0,0,0,6]>')]).
% 0.35/1.03 cnf('0.4.2.0',plain,
% 0.35/1.03 ( multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))),multiply(X4,inverse(X4))) = multiply(X5,inverse(multiply(multiply(X2,multiply(X6,inverse(X6))),multiply(X3,X5)))) ),
% 0.35/1.03 inference(activate,[status(thm)],['0.4.1.0']),
% 0.35/1.03 [equation_1]).
% 0.35/1.03 cnf('0.4.2.1',plain,
% 0.35/1.03 ( multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))),multiply(X4,inverse(X4))) = multiply(c3,inverse(multiply(multiply(X2,multiply(c3,inverse(c3))),multiply(X3,c3)))) ),
% 0.35/1.03 inference(instr,[status(thm)],['0.4.2.0',theory(equality)])).
% 0.35/1.03 cnf('0.4.2.2',plain,
% 0.35/1.03 ( multiply(multiply(multiply(c3,inverse(c3)),inverse(multiply(X2,X4))),multiply(c3,inverse(c3))) = multiply(X1,inverse(multiply(multiply(X2,multiply(X3,inverse(X3))),multiply(X4,X1)))) ),
% 0.35/1.03 inference(instl,[status(thm)],['0.4.2.0',theory(equality)])).
% 0.35/1.03 cnf('0.6.0.0',plain,
% 0.35/1.03 ( X1 = multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X4,inverse(multiply(multiply(X1,multiply(X5,inverse(X5))),multiply(X3,X4))))))) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.1.2.0','0.4.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2.1.2','L')]).
% 0.35/1.03 cnf('0.6.1.0',plain,
% 0.35/1.03 ( X1 = multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X4,inverse(multiply(multiply(X1,multiply(X5,inverse(X5))),multiply(X3,X4))))))) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.35/1.03 [weight('<505,4,1,[0,0,0,5]>')]).
% 0.35/1.03 cnf('0.6.2.0',plain,
% 0.35/1.03 ( multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,inverse(multiply(multiply(X4,multiply(X5,inverse(X5))),multiply(X2,X3))))))) = X4 ),
% 0.35/1.03 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.35/1.03 [x,rule_5]).
% 0.35/1.03 cnf('0.7.0.0',plain,
% 0.35/1.03 ( X1 = multiply(X2,inverse(multiply(multiply(X3,inverse(multiply(multiply(X4,multiply(X5,inverse(X5))),multiply(X1,X3)))),multiply(X4,X2)))) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.1.2.0','0.6.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2.1.2.1','L')]).
% 0.35/1.03 cnf('0.7.1.0',plain,
% 0.35/1.03 ( X1 = multiply(X2,inverse(multiply(multiply(X3,inverse(multiply(multiply(X4,multiply(X5,inverse(X5))),multiply(X1,X3)))),multiply(X4,X2)))) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.35/1.03 [weight('<461,6,1,[0,0,0,6]>')]).
% 0.35/1.03 cnf('0.7.2.0',plain,
% 0.35/1.03 ( multiply(X1,inverse(multiply(multiply(X2,inverse(multiply(multiply(X3,multiply(X4,inverse(X4))),multiply(X5,X2)))),multiply(X3,X1)))) = X5 ),
% 0.35/1.03 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.35/1.03 [x,rule_6]).
% 0.35/1.03 cnf('0.8.0.0',plain,
% 0.35/1.03 ( multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,multiply(X4,inverse(X4)))))) = multiply(X5,inverse(multiply(X2,multiply(X3,X5)))) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.7.2.0','0.1.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2.1.1','L')]).
% 0.35/1.03 cnf('0.8.1.0',plain,
% 0.35/1.03 ( multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,multiply(X4,inverse(X4)))))) = multiply(X5,inverse(multiply(X2,multiply(X3,X5)))) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.35/1.03 [weight('<528,7,1,[1,0,0,4]>')]).
% 0.35/1.03 cnf('0.8.2.0',plain,
% 0.35/1.03 ( multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,multiply(X4,inverse(X4)))))) = multiply(X5,inverse(multiply(X2,multiply(X3,X5)))) ),
% 0.35/1.03 inference(activate,[status(thm)],['0.8.1.0']),
% 0.35/1.03 [equation_2]).
% 0.35/1.03 cnf('0.8.2.1',plain,
% 0.35/1.03 ( multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,multiply(X4,inverse(X4)))))) = multiply(c3,inverse(multiply(X2,multiply(X3,c3)))) ),
% 0.35/1.03 inference(instr,[status(thm)],['0.8.2.0',theory(equality)])).
% 0.35/1.03 cnf('0.8.2.2',plain,
% 0.35/1.03 ( multiply(multiply(c3,inverse(c3)),inverse(multiply(X2,multiply(X3,multiply(c3,inverse(c3)))))) = multiply(X1,inverse(multiply(X2,multiply(X3,X1)))) ),
% 0.35/1.03 inference(instl,[status(thm)],['0.8.2.0',theory(equality)])).
% 0.35/1.03 cnf('0.10.0.0',plain,
% 0.35/1.03 ( X1 = multiply(X2,inverse(multiply(multiply(X3,multiply(X4,inverse(X4))),multiply(multiply(X5,inverse(multiply(X1,multiply(X3,X5)))),X2)))) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.1.2.0','0.8.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2.1.2.1','L')]).
% 0.35/1.03 cnf('0.10.1.0',plain,
% 0.35/1.03 ( X1 = multiply(X2,inverse(multiply(multiply(X3,multiply(X4,inverse(X4))),multiply(multiply(X5,inverse(multiply(X1,multiply(X3,X5)))),X2)))) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.35/1.03 [weight('<461,8,1,[0,0,0,6]>')]).
% 0.35/1.03 cnf('0.10.2.0',plain,
% 0.35/1.03 ( multiply(X1,inverse(multiply(multiply(X2,multiply(X3,inverse(X3))),multiply(multiply(X4,inverse(multiply(X5,multiply(X2,X4)))),X1)))) = X5 ),
% 0.35/1.03 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.35/1.03 [x,rule_7]).
% 0.35/1.03 cnf('0.11.0.0',plain,
% 0.35/1.03 ( X1 = multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,inverse(multiply(X4,multiply(X1,X3)))),X4))) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.6.2.0','0.10.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2.1.2','L')]).
% 0.35/1.03 cnf('0.11.1.0',plain,
% 0.35/1.03 ( X1 = multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,inverse(multiply(X4,multiply(X1,X3)))),X4))) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.35/1.03 [weight('<305,10,6,[0,0,0,8]>')]).
% 0.35/1.03 cnf('0.11.2.0',plain,
% 0.35/1.03 ( multiply(multiply(X1,inverse(X1)),inverse(multiply(multiply(X2,inverse(multiply(X3,multiply(X4,X2)))),X3))) = X4 ),
% 0.35/1.03 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.35/1.03 [x,rule_8]).
% 0.35/1.03 cnf('0.12.0.0',plain,
% 0.35/1.03 ( X1 = multiply(inverse(multiply(multiply(X2,inverse(multiply(X3,multiply(X4,X2)))),X3)),inverse(multiply(inverse(X1),X4))) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.1.2.0','0.11.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2.1.2','L')]).
% 0.35/1.03 cnf('0.12.1.0',plain,
% 0.35/1.03 ( X1 = multiply(inverse(multiply(multiply(X2,inverse(multiply(X3,multiply(X4,X2)))),X3)),inverse(multiply(inverse(X1),X4))) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.35/1.03 [weight('<341,11,1,[0,0,0,5]>')]).
% 0.35/1.03 cnf('0.12.2.0',plain,
% 0.35/1.03 ( multiply(inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(X3,X1)))),X2)),inverse(multiply(inverse(X4),X3))) = X4 ),
% 0.35/1.03 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.35/1.03 [x,rule_9]).
% 0.35/1.03 cnf('0.13.0.0',plain,
% 0.35/1.03 ( multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))) = multiply(multiply(X4,inverse(X4)),inverse(multiply(X2,X3))) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.11.2.0','0.1.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2.1.1','L')]).
% 0.35/1.03 cnf('0.13.1.0',plain,
% 0.35/1.03 ( multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))) = multiply(multiply(X4,inverse(X4)),inverse(multiply(X2,X3))) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.35/1.03 [weight('<360,11,1,[1,0,0,7]>')]).
% 0.35/1.03 cnf('0.13.2.0',plain,
% 0.35/1.03 ( multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))) = multiply(multiply(X4,inverse(X4)),inverse(multiply(X2,X3))) ),
% 0.35/1.03 inference(activate,[status(thm)],['0.13.1.0']),
% 0.35/1.03 [equation_4]).
% 0.35/1.03 cnf('0.13.2.1',plain,
% 0.35/1.03 ( multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))) = multiply(multiply(c3,inverse(c3)),inverse(multiply(X2,X3))) ),
% 0.35/1.03 inference(instr,[status(thm)],['0.13.2.0',theory(equality)])).
% 0.35/1.03 cnf('0.13.2.2',plain,
% 0.35/1.03 ( multiply(multiply(c3,inverse(c3)),inverse(multiply(X2,X3))) = multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))) ),
% 0.35/1.03 inference(instl,[status(thm)],['0.13.2.0',theory(equality)])).
% 0.35/1.03 cnf('0.14.0.0',plain,
% 0.35/1.03 ( multiply(X1,inverse(X1)) = multiply(X2,inverse(multiply(inverse(multiply(X3,X4)),multiply(multiply(multiply(X5,inverse(X5)),inverse(multiply(multiply(X6,inverse(X6)),inverse(multiply(X3,X4))))),X2)))) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.1.2.0','0.13.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2.1.2.1.2.1','L')]).
% 0.35/1.03 cnf('0.14.0.1',plain,
% 0.35/1.03 ( multiply(X1,inverse(X1)) = multiply(X6,inverse(X6)) ),
% 0.35/1.03 inference(reduction,[status(thm)],['0.14.0.0','0.1.2.0',theory(equality)]),
% 0.35/1.03 [pos('R','L')]).
% 0.35/1.03 cnf('0.14.1.0',plain,
% 0.35/1.03 ( multiply(X1,inverse(X1)) = multiply(X6,inverse(X6)) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.14.0.1']),
% 0.35/1.03 [weight('<80,13,1,[0,0,0,12]>')]).
% 0.35/1.03 cnf('0.14.2.0',plain,
% 0.35/1.03 ( multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)) ),
% 0.35/1.03 inference(activate,[status(thm)],['0.14.1.0']),
% 0.35/1.03 [equation_5]).
% 0.35/1.03 cnf('0.14.2.1',plain,
% 0.35/1.03 ( multiply(X1,inverse(X1)) = multiply(c3,inverse(c3)) ),
% 0.35/1.03 inference(instr,[status(thm)],['0.14.2.0',theory(equality)])).
% 0.35/1.03 cnf('0.14.2.2',plain,
% 0.35/1.03 ( multiply(c3,inverse(c3)) = multiply(X1,inverse(X1)) ),
% 0.35/1.03 inference(instl,[status(thm)],['0.14.2.0',theory(equality)])).
% 0.35/1.03 cnf('0.15.0.0',plain,
% 0.35/1.03 ( X1 = multiply(X2,inverse(multiply(inverse(X1),multiply(multiply(X3,inverse(X3)),X2)))) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.1.2.0','0.14.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2.1.2.1','L')]).
% 0.35/1.03 cnf('0.15.1.0',plain,
% 0.35/1.03 ( X1 = multiply(X2,inverse(multiply(inverse(X1),multiply(multiply(X3,inverse(X3)),X2)))) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.35/1.03 [weight('<181,14,1,[0,0,0,6]>')]).
% 0.35/1.03 cnf('0.15.2.0',plain,
% 0.35/1.03 ( multiply(X1,inverse(multiply(inverse(X2),multiply(multiply(X3,inverse(X3)),X1)))) = X2 ),
% 0.35/1.03 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.35/1.03 [x,rule_10]).
% 0.35/1.03 cnf('0.18.0.0',plain,
% 0.35/1.03 ( inverse(X1) = multiply(X2,inverse(multiply(multiply(multiply(X3,inverse(X3)),multiply(X4,inverse(X4))),multiply(X1,X2)))) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.1.2.0','0.15.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2.1.2.1','L')]).
% 0.35/1.03 cnf('0.18.1.0',plain,
% 0.35/1.03 ( inverse(X1) = multiply(X2,inverse(multiply(multiply(multiply(X3,inverse(X3)),multiply(X4,inverse(X4))),multiply(X1,X2)))) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.35/1.03 [weight('<322,15,1,[0,0,0,6]>')]).
% 0.35/1.03 cnf('0.18.2.0',plain,
% 0.35/1.03 ( multiply(X1,inverse(multiply(multiply(multiply(X2,inverse(X2)),multiply(X3,inverse(X3))),multiply(X4,X1)))) = inverse(X4) ),
% 0.35/1.03 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.35/1.03 [x,rule_12]).
% 0.35/1.03 cnf('0.19.0.0',plain,
% 0.35/1.03 ( inverse(multiply(X1,inverse(multiply(X2,multiply(multiply(X3,inverse(X3)),X1))))) = X2 ),
% 0.35/1.03 inference(cp,[status(thm)],['0.18.2.0','0.10.2.0',theory(equality)]),
% 0.35/1.03 [pos('L','L')]).
% 0.35/1.03 cnf('0.19.1.0',plain,
% 0.35/1.03 ( inverse(multiply(X1,inverse(multiply(X2,multiply(multiply(X3,inverse(X3)),X1))))) = X2 ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.35/1.03 [weight('<181,18,10,[1,0,0,0]>')]).
% 0.35/1.03 cnf('0.19.2.0',plain,
% 0.35/1.03 ( inverse(multiply(X1,inverse(multiply(X2,multiply(multiply(X3,inverse(X3)),X1))))) = X2 ),
% 0.35/1.03 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.35/1.03 [u,rule_13]).
% 0.35/1.03 cnf('0.21.0.0',plain,
% 0.35/1.03 ( multiply(multiply(X1,inverse(X1)),multiply(X2,inverse(X2))) = inverse(inverse(multiply(X3,inverse(X3)))) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.19.2.0','0.18.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.1','L')]).
% 0.35/1.03 cnf('0.21.1.0',plain,
% 0.35/1.03 ( multiply(multiply(X1,inverse(X1)),multiply(X2,inverse(X2))) = inverse(inverse(multiply(X3,inverse(X3)))) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.35/1.03 [weight('<255,19,18,[1,0,0,1]>')]).
% 0.35/1.03 cnf('0.21.2.0',plain,
% 0.35/1.03 ( multiply(multiply(X1,inverse(X1)),multiply(X2,inverse(X2))) = inverse(inverse(multiply(X3,inverse(X3)))) ),
% 0.35/1.03 inference(activate,[status(thm)],['0.21.1.0']),
% 0.35/1.03 [equation_7]).
% 0.35/1.03 cnf('0.21.2.1',plain,
% 0.35/1.03 ( multiply(multiply(X1,inverse(X1)),multiply(X2,inverse(X2))) = inverse(inverse(multiply(c3,inverse(c3)))) ),
% 0.35/1.03 inference(instr,[status(thm)],['0.21.2.0',theory(equality)])).
% 0.35/1.03 cnf('0.21.2.2',plain,
% 0.35/1.03 ( multiply(multiply(c3,inverse(c3)),multiply(c3,inverse(c3))) = inverse(inverse(multiply(X1,inverse(X1)))) ),
% 0.35/1.03 inference(instl,[status(thm)],['0.21.2.0',theory(equality)])).
% 0.35/1.03 cnf('0.22.0.0',plain,
% 0.35/1.03 ( X1 = multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(X1),inverse(inverse(multiply(X3,inverse(X3))))))) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.1.2.0','0.21.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2.1.2','L')]).
% 0.35/1.03 cnf('0.22.1.0',plain,
% 0.35/1.03 ( X1 = multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(X1),inverse(inverse(multiply(X3,inverse(X3))))))) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.35/1.03 [weight('<271,21,1,[0,0,0,5]>')]).
% 0.35/1.03 cnf('0.22.2.0',plain,
% 0.35/1.03 ( multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(X2),inverse(inverse(multiply(X3,inverse(X3))))))) = X2 ),
% 0.35/1.03 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.35/1.03 [x,rule_15]).
% 0.35/1.03 cnf('0.23.0.0',plain,
% 0.35/1.03 ( inverse(X1) = multiply(X2,inverse(multiply(inverse(inverse(multiply(X3,inverse(X3)))),multiply(X1,X2)))) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.1.2.0','0.22.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2.1.2.1','L')]).
% 0.35/1.03 cnf('0.23.1.0',plain,
% 0.35/1.03 ( inverse(X1) = multiply(X2,inverse(multiply(inverse(inverse(multiply(X3,inverse(X3)))),multiply(X1,X2)))) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.35/1.03 [weight('<223,22,1,[0,0,0,6]>')]).
% 0.35/1.03 cnf('0.23.2.0',plain,
% 0.35/1.03 ( multiply(X1,inverse(multiply(inverse(inverse(multiply(X2,inverse(X2)))),multiply(X3,X1)))) = inverse(X3) ),
% 0.35/1.03 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.35/1.03 [x,rule_16]).
% 0.35/1.03 cnf('0.24.0.0',plain,
% 0.35/1.03 ( X1 = inverse(multiply(multiply(X2,inverse(X2)),inverse(multiply(X1,inverse(inverse(multiply(X3,inverse(X3)))))))) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.19.2.0','0.21.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.1.2.1.2','L')]).
% 0.35/1.03 cnf('0.24.1.0',plain,
% 0.35/1.03 ( X1 = inverse(multiply(multiply(X2,inverse(X2)),inverse(multiply(X1,inverse(inverse(multiply(X3,inverse(X3)))))))) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.35/1.03 [weight('<271,21,19,[0,0,0,6]>')]).
% 0.35/1.03 cnf('0.24.2.0',plain,
% 0.35/1.03 ( inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,inverse(inverse(multiply(X3,inverse(X3)))))))) = X2 ),
% 0.35/1.03 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.35/1.03 [x,rule_17]).
% 0.35/1.03 cnf('0.25.0.0',plain,
% 0.35/1.03 ( inverse(X1) = multiply(inverse(X1),inverse(multiply(inverse(inverse(multiply(X2,inverse(X2)))),multiply(X3,inverse(X3))))) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.23.2.0','0.14.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2.1.2','L')]).
% 0.35/1.03 cnf('0.25.1.0',plain,
% 0.35/1.03 ( inverse(X1) = multiply(inverse(X1),inverse(multiply(inverse(inverse(multiply(X2,inverse(X2)))),multiply(X3,inverse(X3))))) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.35/1.03 [weight('<287,23,14,[1,0,0,10]>')]).
% 0.35/1.03 cnf('0.25.2.0',plain,
% 0.35/1.03 ( multiply(inverse(X1),inverse(multiply(inverse(inverse(multiply(X2,inverse(X2)))),multiply(X3,inverse(X3))))) = inverse(X1) ),
% 0.35/1.03 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.35/1.03 [x,rule_18]).
% 0.35/1.03 cnf('0.26.0.0',plain,
% 0.35/1.03 ( inverse(multiply(X1,inverse(multiply(X2,multiply(multiply(X3,inverse(X3)),X1))))) = multiply(X2,inverse(multiply(inverse(inverse(multiply(X4,inverse(X4)))),multiply(X5,inverse(X5))))) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.25.2.0','0.19.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.1','L')]).
% 0.35/1.03 cnf('0.26.0.1',plain,
% 0.35/1.03 ( X2 = multiply(X2,inverse(multiply(inverse(inverse(multiply(X4,inverse(X4)))),multiply(X5,inverse(X5))))) ),
% 0.35/1.03 inference(reduction,[status(thm)],['0.26.0.0','0.19.2.0',theory(equality)]),
% 0.35/1.03 [pos('L','L')]).
% 0.35/1.03 cnf('0.26.1.0',plain,
% 0.35/1.03 ( X2 = multiply(X2,inverse(multiply(inverse(inverse(multiply(X4,inverse(X4)))),multiply(X5,inverse(X5))))) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.26.0.1']),
% 0.35/1.03 [weight('<239,25,19,[1,0,0,1]>')]).
% 0.35/1.03 cnf('0.26.2.0',plain,
% 0.35/1.03 ( multiply(X1,inverse(multiply(inverse(inverse(multiply(X2,inverse(X2)))),multiply(X3,inverse(X3))))) = X1 ),
% 0.35/1.03 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.35/1.03 [x,rule_19]).
% 0.35/1.03 cnf('0.27.0.0',plain,
% 0.35/1.03 ( multiply(inverse(inverse(multiply(X1,inverse(X1)))),multiply(X2,inverse(X2))) = multiply(X3,inverse(X3)) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.26.2.0','0.14.2.0',theory(equality)]),
% 0.35/1.03 [pos('L','L')]).
% 0.35/1.03 cnf('0.27.1.0',plain,
% 0.35/1.03 ( multiply(inverse(inverse(multiply(X1,inverse(X1)))),multiply(X2,inverse(X2))) = multiply(X3,inverse(X3)) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.35/1.03 [weight('<255,26,14,[1,0,0,0]>')]).
% 0.35/1.03 cnf('0.27.2.0',plain,
% 0.35/1.03 ( multiply(inverse(inverse(multiply(X1,inverse(X1)))),multiply(X2,inverse(X2))) = multiply(X3,inverse(X3)) ),
% 0.35/1.03 inference(activate,[status(thm)],['0.27.1.0']),
% 0.35/1.03 [equation_8]).
% 0.35/1.03 cnf('0.27.2.1',plain,
% 0.35/1.03 ( multiply(inverse(inverse(multiply(X1,inverse(X1)))),multiply(X2,inverse(X2))) = multiply(c3,inverse(c3)) ),
% 0.35/1.03 inference(instr,[status(thm)],['0.27.2.0',theory(equality)])).
% 0.35/1.03 cnf('0.27.2.2',plain,
% 0.35/1.03 ( multiply(inverse(inverse(multiply(c3,inverse(c3)))),multiply(c3,inverse(c3))) = multiply(X1,inverse(X1)) ),
% 0.35/1.03 inference(instl,[status(thm)],['0.27.2.0',theory(equality)])).
% 0.35/1.03 cnf('0.28.0.0',plain,
% 0.35/1.03 ( X1 = multiply(inverse(multiply(multiply(X2,inverse(X2)),inverse(multiply(X1,inverse(inverse(multiply(X3,inverse(X3)))))))),inverse(multiply(X4,inverse(X4)))) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.1.2.0','0.27.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2.1','L')]).
% 0.35/1.03 cnf('0.28.0.1',plain,
% 0.35/1.03 ( X1 = multiply(X1,inverse(multiply(X4,inverse(X4)))) ),
% 0.35/1.03 inference(reduction,[status(thm)],['0.28.0.0','0.24.2.0',theory(equality)]),
% 0.35/1.03 [pos('R.1','L')]).
% 0.35/1.03 cnf('0.28.1.0',plain,
% 0.35/1.03 ( X1 = multiply(X1,inverse(multiply(X4,inverse(X4)))) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.28.0.1']),
% 0.35/1.03 [weight('<71,27,1,[0,0,0,3]>')]).
% 0.35/1.03 cnf('0.28.2.0',plain,
% 0.35/1.03 ( multiply(X1,inverse(multiply(X2,inverse(X2)))) = X1 ),
% 0.35/1.03 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.35/1.03 [x,rule_20]).
% 0.35/1.03 cnf('0.29.0.0',plain,
% 0.35/1.03 ( inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(inverse(inverse(X3)),X1)))),X2)) = X3 ),
% 0.35/1.03 inference(cp,[status(thm)],['0.28.2.0','0.12.2.0',theory(equality)]),
% 0.35/1.03 [pos('L','L')]).
% 0.35/1.03 cnf('0.29.1.0',plain,
% 0.35/1.03 ( inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(inverse(inverse(X3)),X1)))),X2)) = X3 ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.35/1.03 [weight('<209,28,12,[1,0,0,0]>')]).
% 0.35/1.03 cnf('0.29.2.0',plain,
% 0.35/1.03 ( inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(inverse(inverse(X3)),X1)))),X2)) = X3 ),
% 0.35/1.03 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.35/1.03 [u,rule_21]).
% 0.35/1.03 cnf('0.30.0.0',plain,
% 0.35/1.03 ( inverse(inverse(X1)) = multiply(multiply(X2,inverse(X2)),X1) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.7.2.0','0.29.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2','L')]).
% 0.35/1.03 cnf('0.30.1.0',plain,
% 0.35/1.03 ( inverse(inverse(X1)) = multiply(multiply(X2,inverse(X2)),X1) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.35/1.03 [weight('<69,29,7,[0,0,0,2]>')]).
% 0.35/1.03 cnf('0.30.2.0',plain,
% 0.35/1.03 ( multiply(multiply(X1,inverse(X1)),X2) = inverse(inverse(X2)) ),
% 0.35/1.03 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.35/1.03 [x,rule_22]).
% 0.35/1.03 cnf('0.31.0.0',plain,
% 0.35/1.03 ( multiply(X1,inverse(multiply(inverse(X2),multiply(multiply(X3,inverse(X3)),X1)))) = X2 ),
% 0.35/1.03 inference(interreduction_right,[status(thm)],['0.15.2.0'])).
% 0.35/1.03 cnf('0.31.0.1',plain,
% 0.35/1.03 ( multiply(X1,inverse(multiply(inverse(X2),inverse(inverse(X1))))) = X2 ),
% 0.35/1.03 inference(reduction,[status(thm)],['0.31.0.0','0.30.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2.1.2','L')]).
% 0.35/1.03 cnf('0.31.1.0',plain,
% 0.35/1.03 ( multiply(X1,inverse(multiply(inverse(X2),inverse(inverse(X1))))) = X2 ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.31.0.1']),
% 0.35/1.03 [weight('<109,15,30,[0,0,0,0]>')]).
% 0.35/1.03 cnf('0.31.2.0',plain,
% 0.35/1.03 ( multiply(X1,inverse(multiply(inverse(X2),inverse(inverse(X1))))) = X2 ),
% 0.35/1.03 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.35/1.03 [u,rule_23]).
% 0.35/1.03 cnf('0.33.0.0',plain,
% 0.35/1.03 ( inverse(inverse(X1)) = multiply(inverse(inverse(inverse(multiply(X2,inverse(X2))))),X1) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.30.2.0','0.30.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.1','L')]).
% 0.35/1.03 cnf('0.33.1.0',plain,
% 0.35/1.03 ( inverse(inverse(X1)) = multiply(inverse(inverse(inverse(multiply(X2,inverse(X2))))),X1) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.33.0.0']),
% 0.35/1.03 [weight('<129,30,30,[0,0,0,1]>')]).
% 0.35/1.03 cnf('0.33.2.0',plain,
% 0.35/1.03 ( multiply(inverse(inverse(inverse(multiply(X1,inverse(X1))))),X2) = inverse(inverse(X2)) ),
% 0.35/1.03 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.35/1.03 [x,rule_25]).
% 0.35/1.03 cnf('0.34.0.0',plain,
% 0.35/1.03 ( X1 = multiply(X1,inverse(inverse(inverse(inverse(multiply(X2,inverse(X2))))))) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.28.2.0','0.30.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2.1','L')]).
% 0.35/1.03 cnf('0.34.1.0',plain,
% 0.35/1.03 ( X1 = multiply(X1,inverse(inverse(inverse(inverse(multiply(X2,inverse(X2))))))) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.35/1.03 [weight('<131,30,28,[0,0,0,3]>')]).
% 0.35/1.03 cnf('0.34.2.0',plain,
% 0.35/1.03 ( multiply(X1,inverse(inverse(inverse(inverse(multiply(X2,inverse(X2))))))) = X1 ),
% 0.35/1.03 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.35/1.03 [x,rule_26]).
% 0.35/1.03 cnf('0.35.0.0',plain,
% 0.35/1.03 ( X1 = multiply(inverse(multiply(multiply(X2,inverse(multiply(X3,multiply(inverse(inverse(inverse(inverse(multiply(X4,inverse(X4)))))),X2)))),X3)),inverse(inverse(X1))) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.12.2.0','0.34.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2.1','L')]).
% 0.35/1.03 cnf('0.35.0.1',plain,
% 0.35/1.03 ( X1 = multiply(inverse(inverse(multiply(X4,inverse(X4)))),inverse(inverse(X1))) ),
% 0.35/1.03 inference(reduction,[status(thm)],['0.35.0.0','0.29.2.0',theory(equality)]),
% 0.35/1.03 [pos('R.1','L')]).
% 0.35/1.03 cnf('0.35.1.0',plain,
% 0.35/1.03 ( X1 = multiply(inverse(inverse(multiply(X4,inverse(X4)))),inverse(inverse(X1))) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.35.0.1']),
% 0.35/1.03 [weight('<131,34,12,[0,0,0,13]>')]).
% 0.35/1.03 cnf('0.35.2.0',plain,
% 0.35/1.03 ( multiply(inverse(inverse(multiply(X1,inverse(X1)))),inverse(inverse(X2))) = X2 ),
% 0.35/1.03 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.35/1.03 [x,rule_27]).
% 0.35/1.03 cnf('0.36.0.0',plain,
% 0.35/1.03 ( X1 = multiply(inverse(inverse(inverse(multiply(X2,inverse(X2))))),inverse(inverse(X1))) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.35.2.0','0.35.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.1.1.1','L')]).
% 0.35/1.03 cnf('0.36.0.1',plain,
% 0.35/1.03 ( X1 = inverse(inverse(inverse(inverse(X1)))) ),
% 0.35/1.03 inference(reduction,[status(thm)],['0.36.0.0','0.33.2.0',theory(equality)]),
% 0.35/1.03 [pos('R','L')]).
% 0.35/1.03 cnf('0.36.1.0',plain,
% 0.35/1.03 ( X1 = inverse(inverse(inverse(inverse(X1)))) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.36.0.1']),
% 0.35/1.03 [weight('<41,35,35,[0,0,0,3]>')]).
% 0.35/1.03 cnf('0.36.2.0',plain,
% 0.35/1.03 ( inverse(inverse(inverse(inverse(X1)))) = X1 ),
% 0.35/1.03 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.35/1.03 [x,rule_28]).
% 0.35/1.03 cnf('0.37.0.0',plain,
% 0.35/1.03 ( multiply(X1,inverse(inverse(inverse(inverse(multiply(X2,inverse(X2))))))) = X1 ),
% 0.35/1.03 inference(interreduction_right,[status(thm)],['0.34.2.0'])).
% 0.35/1.03 cnf('0.37.0.1',plain,
% 0.35/1.03 ( multiply(X1,multiply(X2,inverse(X2))) = X1 ),
% 0.35/1.03 inference(reduction,[status(thm)],['0.37.0.0','0.36.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2','L')]).
% 0.35/1.03 cnf('0.37.1.0',plain,
% 0.35/1.03 ( multiply(X1,multiply(X2,inverse(X2))) = X1 ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.37.0.1']),
% 0.35/1.03 [weight('<55,34,36,[0,0,0,0]>')]).
% 0.35/1.03 cnf('0.37.2.0',plain,
% 0.35/1.03 ( multiply(X1,multiply(X2,inverse(X2))) = X1 ),
% 0.35/1.03 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.35/1.03 [u,rule_29]).
% 0.35/1.03 cnf('0.40.0.0',plain,
% 0.35/1.03 ( X1 = multiply(X1,multiply(inverse(inverse(inverse(X2))),X2)) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.37.2.0','0.36.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2.2','L')]).
% 0.35/1.03 cnf('0.40.1.0',plain,
% 0.35/1.03 ( X1 = multiply(X1,multiply(inverse(inverse(inverse(X2))),X2)) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.40.0.0']),
% 0.35/1.03 [weight('<89,37,36,[1,0,0,4]>')]).
% 0.35/1.03 cnf('0.40.2.0',plain,
% 0.35/1.03 ( multiply(X1,multiply(inverse(inverse(inverse(X2))),X2)) = X1 ),
% 0.35/1.03 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.35/1.03 [x,rule_32]).
% 0.35/1.03 cnf('0.41.0.0',plain,
% 0.35/1.03 ( inverse(X1) = inverse(multiply(multiply(X1,inverse(X2)),X2)) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.29.2.0','0.40.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.1.1.2.1','L')]).
% 0.35/1.03 cnf('0.41.1.0',plain,
% 0.35/1.03 ( inverse(X1) = inverse(multiply(multiply(X1,inverse(X2)),X2)) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.41.0.0']),
% 0.35/1.03 [weight('<79,40,29,[0,0,0,5]>')]).
% 0.35/1.03 cnf('0.41.2.0',plain,
% 0.35/1.03 ( inverse(multiply(multiply(X1,inverse(X2)),X2)) = inverse(X1) ),
% 0.35/1.03 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 0.35/1.03 [x,rule_33]).
% 0.35/1.03 cnf('0.42.0.0',plain,
% 0.35/1.03 ( inverse(X1) = inverse(multiply(multiply(X2,inverse(X2)),X1)) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.41.2.0','0.14.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.1.1','L')]).
% 0.35/1.03 cnf('0.42.0.1',plain,
% 0.35/1.03 ( inverse(X1) = inverse(inverse(inverse(X1))) ),
% 0.35/1.03 inference(reduction,[status(thm)],['0.42.0.0','0.30.2.0',theory(equality)]),
% 0.35/1.03 [pos('R.1','L')]).
% 0.35/1.03 cnf('0.42.1.0',plain,
% 0.35/1.03 ( inverse(X1) = inverse(inverse(inverse(X1))) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.42.0.1']),
% 0.35/1.03 [weight('<34,41,14,[1,0,0,2]>')]).
% 0.35/1.03 cnf('0.42.2.0',plain,
% 0.35/1.03 ( inverse(inverse(inverse(X1))) = inverse(X1) ),
% 0.35/1.03 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.35/1.03 [x,rule_34]).
% 0.35/1.03 cnf('0.43.0.0',plain,
% 0.35/1.03 ( inverse(inverse(inverse(inverse(X1)))) = X1 ),
% 0.35/1.03 inference(interreduction_right,[status(thm)],['0.36.2.0'])).
% 0.35/1.03 cnf('0.43.0.1',plain,
% 0.35/1.03 ( inverse(inverse(X1)) = X1 ),
% 0.35/1.03 inference(reduction,[status(thm)],['0.43.0.0','0.42.2.0',theory(equality)]),
% 0.35/1.03 [pos('L','L')]).
% 0.35/1.03 cnf('0.43.1.0',plain,
% 0.35/1.03 ( inverse(inverse(X1)) = X1 ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.43.0.1']),
% 0.35/1.03 [weight('<19,36,42,[0,0,0,0]>')]).
% 0.35/1.03 cnf('0.43.2.0',plain,
% 0.35/1.03 ( inverse(inverse(X1)) = X1 ),
% 0.35/1.03 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.35/1.03 [u,rule_35]).
% 0.35/1.03 cnf('0.46.0.0',plain,
% 0.35/1.03 ( multiply(multiply(X1,inverse(X2)),X2) = multiply(inverse(multiply(multiply(X3,inverse(multiply(X4,multiply(X5,X3)))),X4)),inverse(multiply(inverse(X1),X5))) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.12.2.0','0.41.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2.1.1','L')]).
% 0.35/1.03 cnf('0.46.0.1',plain,
% 0.35/1.03 ( multiply(multiply(X1,inverse(X2)),X2) = X1 ),
% 0.35/1.03 inference(reduction,[status(thm)],['0.46.0.0','0.12.2.0',theory(equality)]),
% 0.35/1.03 [pos('R','L')]).
% 0.35/1.03 cnf('0.46.1.0',plain,
% 0.35/1.03 ( multiply(multiply(X1,inverse(X2)),X2) = X1 ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.46.0.1']),
% 0.35/1.03 [weight('<55,41,12,[0,0,0,14]>')]).
% 0.35/1.03 cnf('0.46.2.0',plain,
% 0.35/1.03 ( multiply(multiply(X1,inverse(X2)),X2) = X1 ),
% 0.35/1.03 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.35/1.03 [u,rule_38]).
% 0.35/1.03 cnf('0.48.0.0',plain,
% 0.35/1.03 ( X1 = multiply(multiply(X1,X2),inverse(X2)) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.46.2.0','0.43.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.1.2','L')]).
% 0.35/1.03 cnf('0.48.1.0',plain,
% 0.35/1.03 ( X1 = multiply(multiply(X1,X2),inverse(X2)) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.48.0.0']),
% 0.35/1.03 [weight('<55,46,43,[1,0,0,3]>')]).
% 0.35/1.03 cnf('0.48.2.0',plain,
% 0.35/1.03 ( multiply(multiply(X1,X2),inverse(X2)) = X1 ),
% 0.35/1.03 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 0.35/1.03 [x,rule_40]).
% 0.35/1.03 cnf('0.49.0.0',plain,
% 0.35/1.03 ( multiply(X1,inverse(multiply(inverse(X2),inverse(inverse(X1))))) = X2 ),
% 0.35/1.03 inference(interreduction_right,[status(thm)],['0.31.2.0'])).
% 0.35/1.03 cnf('0.49.0.1',plain,
% 0.35/1.03 ( multiply(X1,inverse(multiply(inverse(X2),X1))) = X2 ),
% 0.35/1.03 inference(reduction,[status(thm)],['0.49.0.0','0.43.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2.1.2','L')]).
% 0.35/1.03 cnf('0.49.1.0',plain,
% 0.35/1.03 ( multiply(X1,inverse(multiply(inverse(X2),X1))) = X2 ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.49.0.1']),
% 0.35/1.03 [weight('<71,31,43,[0,0,0,0]>')]).
% 0.35/1.03 cnf('0.49.2.0',plain,
% 0.35/1.03 ( multiply(X1,inverse(multiply(inverse(X2),X1))) = X2 ),
% 0.35/1.03 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.35/1.03 [u,rule_41]).
% 0.35/1.03 cnf('0.50.0.0',plain,
% 0.35/1.03 ( X1 = multiply(X2,multiply(inverse(X2),X1)) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.46.2.0','0.49.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.1','L')]).
% 0.35/1.03 cnf('0.50.1.0',plain,
% 0.35/1.03 ( X1 = multiply(X2,multiply(inverse(X2),X1)) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.50.0.0']),
% 0.35/1.03 [weight('<55,49,46,[0,0,0,1]>')]).
% 0.35/1.03 cnf('0.50.2.0',plain,
% 0.35/1.03 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.35/1.03 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 0.35/1.03 [x,rule_42]).
% 0.35/1.03 cnf('0.51.0.0',plain,
% 0.35/1.03 ( X1 = multiply(inverse(X2),multiply(X2,X1)) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.50.2.0','0.43.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2.1','L')]).
% 0.35/1.03 cnf('0.51.1.0',plain,
% 0.35/1.03 ( X1 = multiply(inverse(X2),multiply(X2,X1)) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.51.0.0']),
% 0.35/1.03 [weight('<55,50,43,[1,0,0,3]>')]).
% 0.35/1.03 cnf('0.51.2.0',plain,
% 0.35/1.03 ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 0.35/1.03 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 0.35/1.03 [x,rule_43]).
% 0.35/1.03 cnf('0.52.0.0',plain,
% 0.35/1.03 ( inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.51.2.0','0.49.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2','L')]).
% 0.35/1.03 cnf('0.52.1.0',plain,
% 0.35/1.03 ( inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.52.0.0']),
% 0.35/1.03 [weight('<59,51,49,[1,0,0,3]>')]).
% 0.35/1.03 cnf('0.52.2.0',plain,
% 0.35/1.03 ( inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1) ),
% 0.35/1.03 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 0.35/1.03 [u,rule_44]).
% 0.35/1.03 cnf('0.53.0.0',plain,
% 0.35/1.03 ( multiply(X1,inverse(multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,X2))),X1)))) = X4 ),
% 0.35/1.03 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.35/1.03 cnf('0.53.0.1',plain,
% 0.35/1.03 ( multiply(X1,inverse(multiply(X2,multiply(inverse(inverse(inverse(multiply(X4,X2)))),X1)))) = X4 ),
% 0.35/1.03 inference(reduction,[status(thm)],['0.53.0.0','0.30.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2.1.2.1','L')]).
% 0.35/1.03 cnf('0.53.1.0',plain,
% 0.35/1.03 ( multiply(X1,inverse(multiply(X2,multiply(inverse(inverse(inverse(multiply(X4,X2)))),X1)))) = X4 ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.53.0.1']),
% 0.35/1.03 [weight('<?,1,30,[0,0,0,0]>')]).
% 0.35/1.03 cnf('0.53.1.1',plain,
% 0.35/1.03 ( multiply(X1,inverse(multiply(X2,multiply(inverse(multiply(X4,X2)),X1)))) = X4 ),
% 0.35/1.03 inference(reduction,[status(thm)],['0.53.1.0','0.43.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2.1.2.1','L')]).
% 0.35/1.03 cnf('0.53.2.0',plain,
% 0.35/1.03 ( multiply(X1,inverse(multiply(X2,multiply(inverse(multiply(X3,X2)),X1)))) = X3 ),
% 0.35/1.03 inference(orient,[status(thm)],['0.53.1.1',theory(equality)]),
% 0.35/1.03 [u,rule_45]).
% 0.35/1.03 cnf('0.59.0.0',plain,
% 0.35/1.03 ( multiply(X1,X2) = multiply(X3,inverse(multiply(inverse(X2),multiply(inverse(X1),X3)))) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.53.2.0','0.48.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2.1.2.1.1','L')]).
% 0.35/1.03 cnf('0.59.0.1',plain,
% 0.35/1.03 ( multiply(X1,X2) = multiply(X3,multiply(inverse(multiply(inverse(X1),X3)),X2)) ),
% 0.35/1.03 inference(reduction,[status(thm)],['0.59.0.0','0.52.2.0',theory(equality)]),
% 0.35/1.03 [pos('R.2','L')]).
% 0.35/1.03 cnf('0.59.0.2',plain,
% 0.35/1.03 ( multiply(X1,X2) = multiply(X3,multiply(multiply(inverse(X3),X1),X2)) ),
% 0.35/1.03 inference(reduction,[status(thm)],['0.59.0.1','0.52.2.0',theory(equality)]),
% 0.35/1.03 [pos('R.2.1','L')]).
% 0.35/1.03 cnf('0.59.1.0',plain,
% 0.35/1.03 ( multiply(X1,X2) = multiply(X3,multiply(multiply(inverse(X3),X1),X2)) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.59.0.2']),
% 0.35/1.03 [weight('<107,53,48,[1,0,0,7]>')]).
% 0.35/1.03 cnf('0.59.2.0',plain,
% 0.35/1.03 ( multiply(X1,multiply(multiply(inverse(X1),X2),X3)) = multiply(X2,X3) ),
% 0.35/1.03 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 0.35/1.03 [x,rule_50]).
% 0.35/1.03 cnf('0.60.0.0',plain,
% 0.35/1.03 ( multiply(multiply(inverse(inverse(X1)),X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.35/1.03 inference(cp,[status(thm)],['0.50.2.0','0.59.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.2','L')]).
% 0.35/1.03 cnf('0.60.0.1',plain,
% 0.35/1.03 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.35/1.03 inference(reduction,[status(thm)],['0.60.0.0','0.43.2.0',theory(equality)]),
% 0.35/1.03 [pos('L.1.1','L')]).
% 0.35/1.03 cnf('0.60.1.0',plain,
% 0.35/1.03 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.35/1.03 inference(weigh,[status(thm)],['0.60.0.1']),
% 0.35/1.03 [weight('<65,59,50,[0,0,0,2]>')]).
% 0.35/1.03 cnf('0.60.2.0',plain,
% 0.35/1.03 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.35/1.03 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 0.35/1.03 [u,rule_51]).
% 0.35/1.03 cnf('1.0.0.0',conjecture,
% 0.35/1.03 ( multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.35/1.03 file('/tmp/WALDMEISTER_10919_n021',conjecture_1)).
% 0.35/1.03 cnf('1.0.0.1',plain,
% 0.35/1.03 ( multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)) ),
% 0.35/1.03 inference(reduction,[status(thm)],['1.0.0.0','0.60.2.0',theory(equality)]),
% 0.35/1.03 [pos('L','L')]).
% 0.35/1.03 cnf('1.0.0.2',plain,
% 0.35/1.03 ( $true ),
% 0.35/1.03 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.35/1.03 [conjecture_1]).
% 0.35/1.03
% 0.35/1.03 Proved Goals:
% 0.35/1.03 No. 1: multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) joined, current: multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3))
% 0.35/1.03 1 goal was specified, which was proved.
% 0.35/1.03 % SZS output end CNFRefutation
% 0.35/1.03 #END OF PROOF
% 0.35/1.03
% 0.35/1.03 Problem WALDMEISTER_10919_n021
% 0.35/1.03 CPs.gen 2255
% 0.35/1.03 CPs.reexp 0
% 0.35/1.03 Select 204
% 0.35/1.03 R 51
% 0.35/1.03 E 9
% 0.35/1.03 vsize 6.4M
% 0.35/1.03 rss 3.8M
% 0.35/1.03 process.time 0.017s
% 0.35/1.03 wallclock.time 0.017s
% 0.35/1.03 status S
% 0.35/1.03
% 0.35/1.03
% 0.35/1.03 Waldmeister states: Goal proved.
% 0.35/1.03 % SZS status Unsatisfiable
%------------------------------------------------------------------------------