TSTP Solution File: GRP442-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP442-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n032.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 12:26:16 EDT 2022
% Result : Unsatisfiable 0.42s 0.82s
% Output : CNFRefutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GRP442-1 : TPTP v8.1.0. Released v2.6.0.
% 0.00/0.08 % Command : woody %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 600
% 0.07/0.27 % DateTime : Mon Jun 13 13:05:56 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.39/0.80 ********************************************************************************
% 0.39/0.80 * W A L D M E I S T E R \| \ / \|/ *
% 0.39/0.80 * |/ | \/ | *
% 0.39/0.80 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.39/0.80 * A. Jaeger and B. Loechner | | *
% 0.39/0.80 * <waldmeister@informatik.uni-kl.de> | *
% 0.39/0.80 ********************************************************************************
% 0.39/0.80
% 0.39/0.80
% 0.39/0.80 Goals:
% 0.39/0.80 ------
% 0.39/0.80
% 0.39/0.80 ( 1) multiply(inverse(a1),a1) ?=? multiply(inverse(b1),b1)
% 0.39/0.80
% 0.39/0.80 Detected structure: Orkus
% 0.39/0.80 ********************************************************************************
% 0.39/0.80 ****************************** COMPLETION - PROOF ******************************
% 0.39/0.80 ********************************************************************************
% 0.39/0.80
% 0.42/0.82 joined goal: 1 multiply(inverse(a1),a1) ?= multiply(inverse(b1),b1) to multiply(b1,inverse(b1))
% 0.42/0.82 goal joined
% 0.42/0.82 % SZS status Unsatisfiable
% 0.42/0.82 #START OF PROOF
% 0.42/0.82 % SZS output start CNFRefutation
% 0.42/0.82 cnf('0.1.0.0',axiom,
% 0.42/0.82 ( X1 = inverse(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),inverse(multiply(X1,multiply(X2,X3))))))) ),
% 0.42/0.82 file('/tmp/WALDMEISTER_26154_n032')).
% 0.42/0.82 cnf('0.1.1.0',plain,
% 0.42/0.82 ( X1 = inverse(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),inverse(multiply(X1,multiply(X2,X3))))))) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.42/0.82 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.42/0.82 cnf('0.1.2.0',plain,
% 0.42/0.82 ( inverse(multiply(X1,multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,multiply(X1,X2))))))) = X4 ),
% 0.42/0.82 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.42/0.82 [x,rule_1]).
% 0.42/0.82 cnf('0.3.0.0',plain,
% 0.42/0.82 ( X1 = inverse(multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,multiply(X1,X2)))),multiply(multiply(X5,inverse(X5)),X4)))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.1.2.2.2','L')]).
% 0.42/0.82 cnf('0.3.1.0',plain,
% 0.42/0.82 ( X1 = inverse(multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,multiply(X1,X2)))),multiply(multiply(X5,inverse(X5)),X4)))) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.42/0.82 [weight('<505,1,1,[0,0,0,10]>')]).
% 0.42/0.82 cnf('0.3.2.0',plain,
% 0.42/0.82 ( inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X4,X1)))),multiply(multiply(X5,inverse(X5)),X3)))) = X4 ),
% 0.42/0.82 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.42/0.82 [x,rule_3]).
% 0.42/0.82 cnf('0.5.0.0',plain,
% 0.42/0.82 ( multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,X4)))) = inverse(multiply(multiply(multiply(X5,inverse(X5)),X2),multiply(multiply(multiply(X6,inverse(X6)),X3),multiply(multiply(X7,inverse(X7)),X4)))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.3.2.0','0.3.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.1.2.1.2','L')]).
% 0.42/0.82 cnf('0.5.1.0',plain,
% 0.42/0.82 ( multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,X4)))) = inverse(multiply(multiply(multiply(X5,inverse(X5)),X2),multiply(multiply(multiply(X6,inverse(X6)),X3),multiply(multiply(X7,inverse(X7)),X4)))) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.42/0.82 [weight('<1088,3,3,[0,0,0,9]>')]).
% 0.42/0.82 cnf('0.5.2.0',plain,
% 0.42/0.82 ( multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,X4)))) = inverse(multiply(multiply(multiply(X5,inverse(X5)),X2),multiply(multiply(multiply(X6,inverse(X6)),X3),multiply(multiply(X7,inverse(X7)),X4)))) ),
% 0.42/0.82 inference(activate,[status(thm)],['0.5.1.0']),
% 0.42/0.82 [equation_1]).
% 0.42/0.82 cnf('0.5.2.1',plain,
% 0.42/0.82 ( multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,X4)))) = inverse(multiply(multiply(multiply(b1,inverse(b1)),X2),multiply(multiply(multiply(b1,inverse(b1)),X3),multiply(multiply(b1,inverse(b1)),X4)))) ),
% 0.42/0.82 inference(instr,[status(thm)],['0.5.2.0',theory(equality)])).
% 0.42/0.82 cnf('0.5.2.2',plain,
% 0.42/0.82 ( multiply(multiply(b1,inverse(b1)),inverse(multiply(X2,multiply(X4,X6)))) = inverse(multiply(multiply(multiply(X1,inverse(X1)),X2),multiply(multiply(multiply(X3,inverse(X3)),X4),multiply(multiply(X5,inverse(X5)),X6)))) ),
% 0.42/0.82 inference(instl,[status(thm)],['0.5.2.0',theory(equality)])).
% 0.42/0.82 cnf('0.6.0.0',plain,
% 0.42/0.82 ( multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(inverse(multiply(X3,multiply(X4,multiply(multiply(X5,inverse(X5)),X2)))),X3)))) = X4 ),
% 0.42/0.82 inference(cp,[status(thm)],['0.5.2.0','0.3.2.0',theory(equality)]),
% 0.42/0.82 [pos('R','L')]).
% 0.42/0.82 cnf('0.6.1.0',plain,
% 0.42/0.82 ( multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(inverse(multiply(X3,multiply(X4,multiply(multiply(X5,inverse(X5)),X2)))),X3)))) = X4 ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.42/0.82 [weight('<505,5,3,[1,1,0,0]>')]).
% 0.42/0.82 cnf('0.6.2.0',plain,
% 0.42/0.82 ( multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(inverse(multiply(X3,multiply(X4,multiply(multiply(X5,inverse(X5)),X2)))),X3)))) = X4 ),
% 0.42/0.82 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.42/0.82 [u,rule_5]).
% 0.42/0.82 cnf('0.7.0.0',plain,
% 0.42/0.82 ( multiply(multiply(X1,inverse(X1)),X2) = multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,multiply(multiply(multiply(X5,inverse(X5)),inverse(multiply(X6,multiply(X2,X4)))),multiply(multiply(X7,inverse(X7)),X6))))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.6.2.0','0.5.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.2.1.2.1','R')]).
% 0.42/0.82 cnf('0.7.0.1',plain,
% 0.42/0.82 ( multiply(multiply(X1,inverse(X1)),X2) = multiply(multiply(X3,inverse(X3)),X2) ),
% 0.42/0.82 inference(reduction,[status(thm)],['0.7.0.0','0.3.2.0',theory(equality)]),
% 0.42/0.82 [pos('R.2','L')]).
% 0.42/0.82 cnf('0.7.1.0',plain,
% 0.42/0.82 ( multiply(multiply(X1,inverse(X1)),X2) = multiply(multiply(X3,inverse(X3)),X2) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.7.0.1']),
% 0.42/0.82 [weight('<168,6,5,[1,0,1,9]>')]).
% 0.42/0.82 cnf('0.7.2.0',plain,
% 0.42/0.82 ( multiply(multiply(X1,inverse(X1)),X2) = multiply(multiply(X3,inverse(X3)),X2) ),
% 0.42/0.82 inference(activate,[status(thm)],['0.7.1.0']),
% 0.42/0.82 [equation_2]).
% 0.42/0.82 cnf('0.7.2.1',plain,
% 0.42/0.82 ( multiply(multiply(X1,inverse(X1)),X2) = multiply(multiply(b1,inverse(b1)),X2) ),
% 0.42/0.82 inference(instr,[status(thm)],['0.7.2.0',theory(equality)])).
% 0.42/0.82 cnf('0.7.2.2',plain,
% 0.42/0.82 ( multiply(multiply(b1,inverse(b1)),X2) = multiply(multiply(X1,inverse(X1)),X2) ),
% 0.42/0.82 inference(instl,[status(thm)],['0.7.2.0',theory(equality)])).
% 0.42/0.82 cnf('0.8.0.0',plain,
% 0.42/0.82 ( multiply(X1,inverse(X1)) = inverse(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),inverse(multiply(multiply(X5,inverse(X5)),multiply(X2,X3))))))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.1.2.0','0.7.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.1.2.2.2.1','L')]).
% 0.42/0.82 cnf('0.8.0.1',plain,
% 0.42/0.82 ( multiply(X1,inverse(X1)) = multiply(X5,inverse(X5)) ),
% 0.42/0.82 inference(reduction,[status(thm)],['0.8.0.0','0.1.2.0',theory(equality)]),
% 0.42/0.82 [pos('R','L')]).
% 0.42/0.82 cnf('0.8.1.0',plain,
% 0.42/0.82 ( multiply(X1,inverse(X1)) = multiply(X5,inverse(X5)) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.8.0.1']),
% 0.42/0.82 [weight('<80,7,1,[0,0,0,11]>')]).
% 0.42/0.82 cnf('0.8.2.0',plain,
% 0.42/0.82 ( multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)) ),
% 0.42/0.82 inference(activate,[status(thm)],['0.8.1.0']),
% 0.42/0.82 [equation_3]).
% 0.42/0.82 cnf('0.8.2.1',plain,
% 0.42/0.82 ( multiply(X1,inverse(X1)) = multiply(b1,inverse(b1)) ),
% 0.42/0.82 inference(instr,[status(thm)],['0.8.2.0',theory(equality)])).
% 0.42/0.82 cnf('0.8.2.2',plain,
% 0.42/0.82 ( multiply(b1,inverse(b1)) = multiply(X1,inverse(X1)) ),
% 0.42/0.82 inference(instl,[status(thm)],['0.8.2.0',theory(equality)])).
% 0.42/0.82 cnf('0.9.0.0',plain,
% 0.42/0.82 ( X1 = inverse(multiply(inverse(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),X1)))),multiply(X2,X3))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.1.2.0','0.6.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.1.2.2','L')]).
% 0.42/0.82 cnf('0.9.1.0',plain,
% 0.42/0.82 ( X1 = inverse(multiply(inverse(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),X1)))),multiply(X2,X3))) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.42/0.82 [weight('<305,6,1,[0,0,0,5]>')]).
% 0.42/0.82 cnf('0.9.2.0',plain,
% 0.42/0.82 ( inverse(multiply(inverse(multiply(X1,multiply(X2,multiply(multiply(X3,inverse(X3)),X4)))),multiply(X1,X2))) = X4 ),
% 0.42/0.82 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.42/0.82 [x,rule_6]).
% 0.42/0.82 cnf('0.10.0.0',plain,
% 0.42/0.82 ( X1 = multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X3,multiply(X4,X1))),multiply(X3,X4)))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.2.1.2.1','L')]).
% 0.42/0.82 cnf('0.10.1.0',plain,
% 0.42/0.82 ( X1 = multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X3,multiply(X4,X1))),multiply(X3,X4)))) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.42/0.82 [weight('<305,6,1,[1,0,0,9]>')]).
% 0.42/0.82 cnf('0.10.2.0',plain,
% 0.42/0.82 ( multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(multiply(X2,multiply(X3,X4))),multiply(X2,X3)))) = X4 ),
% 0.42/0.82 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.42/0.82 [x,rule_7]).
% 0.42/0.82 cnf('0.11.0.0',plain,
% 0.42/0.82 ( inverse(X1) = multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X3,multiply(X4,inverse(X4)))),multiply(X3,X1)))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.10.2.0','0.8.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.2.1.1.1.2','L')]).
% 0.42/0.82 cnf('0.11.1.0',plain,
% 0.42/0.82 ( inverse(X1) = multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X3,multiply(X4,inverse(X4)))),multiply(X3,X1)))) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.42/0.82 [weight('<359,10,8,[1,0,0,10]>')]).
% 0.42/0.82 cnf('0.11.2.0',plain,
% 0.42/0.82 ( multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(multiply(X2,multiply(X3,inverse(X3)))),multiply(X2,X4)))) = inverse(X4) ),
% 0.42/0.82 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.42/0.82 [x,rule_8]).
% 0.42/0.82 cnf('0.12.0.0',plain,
% 0.42/0.82 ( X1 = inverse(multiply(X2,multiply(inverse(X2),multiply(multiply(X3,inverse(X3)),inverse(multiply(X1,multiply(X4,inverse(X4)))))))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.1.2.0','0.8.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.1.2.2.2.1.2','L')]).
% 0.42/0.82 cnf('0.12.1.0',plain,
% 0.42/0.82 ( X1 = inverse(multiply(X2,multiply(inverse(X2),multiply(multiply(X3,inverse(X3)),inverse(multiply(X1,multiply(X4,inverse(X4)))))))) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.42/0.82 [weight('<379,8,1,[0,0,0,13]>')]).
% 0.42/0.82 cnf('0.12.2.0',plain,
% 0.42/0.82 ( inverse(multiply(X1,multiply(inverse(X1),multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X4,inverse(X4)))))))) = X3 ),
% 0.42/0.82 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.42/0.82 [x,rule_9]).
% 0.42/0.82 cnf('0.13.0.0',plain,
% 0.42/0.82 ( inverse(multiply(X1,multiply(inverse(X1),X2))) = inverse(multiply(X3,multiply(inverse(X3),X2))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.12.2.0','0.10.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.1.2.2','L')]).
% 0.42/0.82 cnf('0.13.1.0',plain,
% 0.42/0.82 ( inverse(multiply(X1,multiply(inverse(X1),X2))) = inverse(multiply(X3,multiply(inverse(X3),X2))) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.42/0.82 [weight('<224,12,10,[1,0,0,6]>')]).
% 0.42/0.82 cnf('0.13.2.0',plain,
% 0.42/0.82 ( inverse(multiply(X1,multiply(inverse(X1),X2))) = inverse(multiply(X3,multiply(inverse(X3),X2))) ),
% 0.42/0.82 inference(activate,[status(thm)],['0.13.1.0']),
% 0.42/0.82 [equation_4]).
% 0.42/0.82 cnf('0.13.2.1',plain,
% 0.42/0.82 ( inverse(multiply(X1,multiply(inverse(X1),X2))) = inverse(multiply(b1,multiply(inverse(b1),X2))) ),
% 0.42/0.82 inference(instr,[status(thm)],['0.13.2.0',theory(equality)])).
% 0.42/0.82 cnf('0.13.2.2',plain,
% 0.42/0.82 ( inverse(multiply(b1,multiply(inverse(b1),X2))) = inverse(multiply(X1,multiply(inverse(X1),X2))) ),
% 0.42/0.82 inference(instl,[status(thm)],['0.13.2.0',theory(equality)])).
% 0.42/0.82 cnf('0.14.0.0',plain,
% 0.42/0.82 ( inverse(multiply(X1,multiply(X2,inverse(X2)))) = inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(X1))))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.12.2.0','0.11.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.1.2.2','L')]).
% 0.42/0.82 cnf('0.14.1.0',plain,
% 0.42/0.82 ( inverse(multiply(X1,multiply(X2,inverse(X2)))) = inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(X1))))) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.42/0.82 [weight('<288,12,11,[1,0,0,6]>')]).
% 0.42/0.82 cnf('0.14.2.0',plain,
% 0.42/0.82 ( inverse(multiply(X1,multiply(X2,inverse(X2)))) = inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(X1))))) ),
% 0.42/0.82 inference(activate,[status(thm)],['0.14.1.0']),
% 0.42/0.82 [equation_5]).
% 0.42/0.82 cnf('0.14.2.1',plain,
% 0.42/0.82 ( inverse(multiply(X1,multiply(X2,inverse(X2)))) = inverse(multiply(b1,multiply(inverse(b1),inverse(inverse(X1))))) ),
% 0.42/0.82 inference(instr,[status(thm)],['0.14.2.0',theory(equality)])).
% 0.42/0.82 cnf('0.14.2.2',plain,
% 0.42/0.82 ( inverse(multiply(X2,multiply(b1,inverse(b1)))) = inverse(multiply(X1,multiply(inverse(X1),inverse(inverse(X2))))) ),
% 0.42/0.82 inference(instl,[status(thm)],['0.14.2.0',theory(equality)])).
% 0.42/0.82 cnf('0.16.0.0',plain,
% 0.42/0.82 ( X1 = inverse(multiply(inverse(multiply(X2,multiply(inverse(X2),multiply(multiply(X3,inverse(X3)),X1)))),multiply(X4,inverse(X4)))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.9.2.0','0.8.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.1.2','L')]).
% 0.42/0.82 cnf('0.16.1.0',plain,
% 0.42/0.82 ( X1 = inverse(multiply(inverse(multiply(X2,multiply(inverse(X2),multiply(multiply(X3,inverse(X3)),X1)))),multiply(X4,inverse(X4)))) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.42/0.82 [weight('<379,9,8,[1,0,0,13]>')]).
% 0.42/0.82 cnf('0.16.2.0',plain,
% 0.42/0.82 ( inverse(multiply(inverse(multiply(X1,multiply(inverse(X1),multiply(multiply(X2,inverse(X2)),X3)))),multiply(X4,inverse(X4)))) = X3 ),
% 0.42/0.82 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.42/0.82 [x,rule_10]).
% 0.42/0.82 cnf('0.17.0.0',plain,
% 0.42/0.82 ( X1 = multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X3,multiply(inverse(X3),X1))),multiply(X4,inverse(X4))))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.10.2.0','0.8.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.2.1.2','L')]).
% 0.42/0.82 cnf('0.17.1.0',plain,
% 0.42/0.82 ( X1 = multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X3,multiply(inverse(X3),X1))),multiply(X4,inverse(X4))))) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.42/0.82 [weight('<379,10,8,[1,0,0,13]>')]).
% 0.42/0.82 cnf('0.17.2.0',plain,
% 0.42/0.82 ( multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(multiply(X2,multiply(inverse(X2),X3))),multiply(X4,inverse(X4))))) = X3 ),
% 0.42/0.82 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.42/0.82 [x,rule_11]).
% 0.42/0.82 cnf('0.18.0.0',plain,
% 0.42/0.82 ( X1 = inverse(multiply(inverse(X1),multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,multiply(inverse(X4),X2))))))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.1.2.0','0.13.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.1.2.2.2','L')]).
% 0.42/0.82 cnf('0.18.1.0',plain,
% 0.42/0.82 ( X1 = inverse(multiply(inverse(X1),multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,multiply(inverse(X4),X2))))))) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.18.0.0']),
% 0.42/0.82 [weight('<379,13,1,[0,0,0,10]>')]).
% 0.42/0.82 cnf('0.18.2.0',plain,
% 0.42/0.82 ( inverse(multiply(inverse(X1),multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,multiply(inverse(X4),X2))))))) = X1 ),
% 0.42/0.82 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.42/0.82 [x,rule_12]).
% 0.42/0.82 cnf('0.20.0.0',plain,
% 0.42/0.82 ( multiply(X1,multiply(X2,inverse(X2))) = inverse(multiply(inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(X1))))),multiply(X4,multiply(multiply(X5,inverse(X5)),inverse(multiply(X6,multiply(inverse(X6),X4))))))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.18.2.0','0.14.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.1.1','L')]).
% 0.42/0.82 cnf('0.20.0.1',plain,
% 0.42/0.82 ( multiply(X1,multiply(X2,inverse(X2))) = multiply(X3,multiply(inverse(X3),inverse(inverse(X1)))) ),
% 0.42/0.82 inference(reduction,[status(thm)],['0.20.0.0','0.18.2.0',theory(equality)]),
% 0.42/0.82 [pos('R','L')]).
% 0.42/0.82 cnf('0.20.1.0',plain,
% 0.42/0.82 ( multiply(X1,multiply(X2,inverse(X2))) = multiply(X3,multiply(inverse(X3),inverse(inverse(X1)))) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.42/0.82 [weight('<224,18,14,[1,0,0,2]>')]).
% 0.42/0.82 cnf('0.20.2.0',plain,
% 0.42/0.82 ( multiply(X1,multiply(X2,inverse(X2))) = multiply(X3,multiply(inverse(X3),inverse(inverse(X1)))) ),
% 0.42/0.82 inference(activate,[status(thm)],['0.20.1.0']),
% 0.42/0.82 [equation_8]).
% 0.42/0.82 cnf('0.20.2.1',plain,
% 0.42/0.82 ( multiply(X1,multiply(X2,inverse(X2))) = multiply(b1,multiply(inverse(b1),inverse(inverse(X1)))) ),
% 0.42/0.82 inference(instr,[status(thm)],['0.20.2.0',theory(equality)])).
% 0.42/0.82 cnf('0.20.2.2',plain,
% 0.42/0.82 ( multiply(X2,multiply(b1,inverse(b1))) = multiply(X1,multiply(inverse(X1),inverse(inverse(X2)))) ),
% 0.42/0.82 inference(instl,[status(thm)],['0.20.2.0',theory(equality)])).
% 0.42/0.82 cnf('0.21.0.0',plain,
% 0.42/0.82 ( X1 = inverse(multiply(inverse(X1),multiply(inverse(inverse(inverse(multiply(X2,multiply(inverse(X2),X3))))),X3))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.18.2.0','0.17.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.1.2.2','L')]).
% 0.42/0.82 cnf('0.21.1.0',plain,
% 0.42/0.82 ( X1 = inverse(multiply(inverse(X1),multiply(inverse(inverse(inverse(multiply(X2,multiply(inverse(X2),X3))))),X3))) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.42/0.82 [weight('<271,18,17,[1,0,0,6]>')]).
% 0.42/0.82 cnf('0.21.2.0',plain,
% 0.42/0.82 ( inverse(multiply(inverse(X1),multiply(inverse(inverse(inverse(multiply(X2,multiply(inverse(X2),X3))))),X3))) = X1 ),
% 0.42/0.82 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.42/0.82 [x,rule_13]).
% 0.42/0.82 cnf('0.24.0.0',plain,
% 0.42/0.82 ( multiply(inverse(inverse(inverse(multiply(X1,multiply(inverse(X1),X2))))),multiply(X2,multiply(multiply(X3,inverse(X3)),X4))) = X4 ),
% 0.42/0.82 inference(cp,[status(thm)],['0.21.2.0','0.9.2.0',theory(equality)]),
% 0.42/0.82 [pos('L','L')]).
% 0.42/0.82 cnf('0.24.1.0',plain,
% 0.42/0.82 ( multiply(inverse(inverse(inverse(multiply(X1,multiply(inverse(X1),X2))))),multiply(X2,multiply(multiply(X3,inverse(X3)),X4))) = X4 ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.42/0.82 [weight('<379,21,9,[1,0,0,0]>')]).
% 0.42/0.82 cnf('0.24.2.0',plain,
% 0.42/0.82 ( multiply(inverse(inverse(inverse(multiply(X1,multiply(inverse(X1),X2))))),multiply(X2,multiply(multiply(X3,inverse(X3)),X4))) = X4 ),
% 0.42/0.82 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.42/0.82 [u,rule_15]).
% 0.42/0.82 cnf('0.25.0.0',plain,
% 0.42/0.82 ( X1 = inverse(inverse(multiply(X1,multiply(inverse(inverse(inverse(multiply(X2,multiply(inverse(X2),X3))))),X3)))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.1.2.0','0.24.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.1','L')]).
% 0.42/0.82 cnf('0.25.1.0',plain,
% 0.42/0.82 ( X1 = inverse(inverse(multiply(X1,multiply(inverse(inverse(inverse(multiply(X2,multiply(inverse(X2),X3))))),X3)))) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.42/0.82 [weight('<271,24,1,[0,0,0,1]>')]).
% 0.42/0.82 cnf('0.25.2.0',plain,
% 0.42/0.82 ( inverse(inverse(multiply(X1,multiply(inverse(inverse(inverse(multiply(X2,multiply(inverse(X2),X3))))),X3)))) = X1 ),
% 0.42/0.82 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.42/0.82 [x,rule_16]).
% 0.42/0.82 cnf('0.27.0.0',plain,
% 0.42/0.82 ( X1 = multiply(multiply(X2,inverse(X2)),multiply(inverse(inverse(inverse(multiply(X3,multiply(inverse(X3),X4))))),multiply(X4,X1))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.10.2.0','0.21.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.2','L')]).
% 0.42/0.82 cnf('0.27.1.0',plain,
% 0.42/0.82 ( X1 = multiply(multiply(X2,inverse(X2)),multiply(inverse(inverse(inverse(multiply(X3,multiply(inverse(X3),X4))))),multiply(X4,X1))) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.42/0.82 [weight('<379,21,10,[0,0,0,5]>')]).
% 0.42/0.82 cnf('0.27.2.0',plain,
% 0.42/0.82 ( multiply(multiply(X1,inverse(X1)),multiply(inverse(inverse(inverse(multiply(X2,multiply(inverse(X2),X3))))),multiply(X3,X4))) = X4 ),
% 0.42/0.82 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.42/0.82 [x,rule_18]).
% 0.42/0.82 cnf('0.28.0.0',plain,
% 0.42/0.82 ( inverse(multiply(X1,inverse(X1))) = inverse(multiply(inverse(multiply(X2,multiply(X3,multiply(X4,inverse(X4))))),multiply(X2,X3))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.9.2.0','0.8.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.1.1.1.2.2','L')]).
% 0.42/0.82 cnf('0.28.1.0',plain,
% 0.42/0.82 ( inverse(multiply(X1,inverse(X1))) = inverse(multiply(inverse(multiply(X2,multiply(X3,multiply(X4,inverse(X4))))),multiply(X2,X3))) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.42/0.82 [weight('<399,9,8,[1,0,0,7]>')]).
% 0.42/0.82 cnf('0.28.2.0',plain,
% 0.42/0.82 ( inverse(multiply(X1,inverse(X1))) = inverse(multiply(inverse(multiply(X2,multiply(X3,multiply(X4,inverse(X4))))),multiply(X2,X3))) ),
% 0.42/0.82 inference(activate,[status(thm)],['0.28.1.0']),
% 0.42/0.82 [equation_10]).
% 0.42/0.82 cnf('0.28.2.1',plain,
% 0.42/0.82 ( inverse(multiply(X1,inverse(X1))) = inverse(multiply(inverse(multiply(b1,multiply(b1,multiply(b1,inverse(b1))))),multiply(b1,b1))) ),
% 0.42/0.82 inference(instr,[status(thm)],['0.28.2.0',theory(equality)])).
% 0.42/0.82 cnf('0.28.2.2',plain,
% 0.42/0.82 ( inverse(multiply(b1,inverse(b1))) = inverse(multiply(inverse(multiply(X1,multiply(X2,multiply(X3,inverse(X3))))),multiply(X1,X2))) ),
% 0.42/0.82 inference(instl,[status(thm)],['0.28.2.0',theory(equality)])).
% 0.42/0.82 cnf('0.30.0.0',plain,
% 0.42/0.82 ( multiply(X1,inverse(X1)) = inverse(multiply(inverse(multiply(inverse(multiply(X2,multiply(X3,multiply(X4,inverse(X4))))),multiply(X2,X3))),multiply(X5,multiply(multiply(X6,inverse(X6)),inverse(multiply(X7,multiply(inverse(X7),X5))))))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.18.2.0','0.28.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.1.1','L')]).
% 0.42/0.82 cnf('0.30.0.1',plain,
% 0.42/0.82 ( multiply(X1,inverse(X1)) = multiply(inverse(multiply(X2,multiply(X3,multiply(X4,inverse(X4))))),multiply(X2,X3)) ),
% 0.42/0.82 inference(reduction,[status(thm)],['0.30.0.0','0.18.2.0',theory(equality)]),
% 0.42/0.82 [pos('R','L')]).
% 0.42/0.82 cnf('0.30.1.0',plain,
% 0.42/0.82 ( multiply(X1,inverse(X1)) = multiply(inverse(multiply(X2,multiply(X3,multiply(X4,inverse(X4))))),multiply(X2,X3)) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.30.0.1']),
% 0.42/0.82 [weight('<323,28,18,[0,0,0,2]>')]).
% 0.42/0.82 cnf('0.30.2.0',plain,
% 0.42/0.82 ( multiply(X1,inverse(X1)) = multiply(inverse(multiply(X2,multiply(X3,multiply(X4,inverse(X4))))),multiply(X2,X3)) ),
% 0.42/0.82 inference(activate,[status(thm)],['0.30.1.0']),
% 0.42/0.82 [equation_12]).
% 0.42/0.82 cnf('0.30.2.1',plain,
% 0.42/0.82 ( multiply(X1,inverse(X1)) = multiply(inverse(multiply(b1,multiply(b1,multiply(b1,inverse(b1))))),multiply(b1,b1)) ),
% 0.42/0.82 inference(instr,[status(thm)],['0.30.2.0',theory(equality)])).
% 0.42/0.82 cnf('0.30.2.2',plain,
% 0.42/0.82 ( multiply(b1,inverse(b1)) = multiply(inverse(multiply(X1,multiply(X2,multiply(X3,inverse(X3))))),multiply(X1,X2)) ),
% 0.42/0.82 inference(instl,[status(thm)],['0.30.2.0',theory(equality)])).
% 0.42/0.82 cnf('0.31.0.0',plain,
% 0.42/0.82 ( multiply(X1,X2) = multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X4,multiply(X5,inverse(X5)))),multiply(X4,inverse(multiply(X1,multiply(X2,multiply(X6,inverse(X6))))))))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.10.2.0','0.30.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.2.1.1.1.2','R')]).
% 0.42/0.82 cnf('0.31.0.1',plain,
% 0.42/0.82 ( multiply(X1,X2) = inverse(inverse(multiply(X1,multiply(X2,multiply(X6,inverse(X6)))))) ),
% 0.42/0.82 inference(reduction,[status(thm)],['0.31.0.0','0.11.2.0',theory(equality)]),
% 0.42/0.82 [pos('R','L')]).
% 0.42/0.82 cnf('0.31.1.0',plain,
% 0.42/0.82 ( multiply(X1,X2) = inverse(inverse(multiply(X1,multiply(X2,multiply(X6,inverse(X6)))))) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.31.0.1']),
% 0.42/0.82 [weight('<153,30,10,[0,1,0,10]>')]).
% 0.42/0.82 cnf('0.31.2.0',plain,
% 0.42/0.82 ( inverse(inverse(multiply(X1,multiply(X2,multiply(X3,inverse(X3)))))) = multiply(X1,X2) ),
% 0.42/0.82 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.42/0.82 [x,rule_19]).
% 0.42/0.82 cnf('0.32.0.0',plain,
% 0.42/0.82 ( X1 = inverse(inverse(multiply(X1,multiply(inverse(multiply(X2,inverse(X2))),multiply(X3,inverse(X3)))))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.25.2.0','0.31.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.1.1.2.1.1','L')]).
% 0.42/0.82 cnf('0.32.0.1',plain,
% 0.42/0.82 ( X1 = multiply(X1,inverse(multiply(X2,inverse(X2)))) ),
% 0.42/0.82 inference(reduction,[status(thm)],['0.32.0.0','0.31.2.0',theory(equality)]),
% 0.42/0.82 [pos('R','L')]).
% 0.42/0.82 cnf('0.32.1.0',plain,
% 0.42/0.82 ( X1 = multiply(X1,inverse(multiply(X2,inverse(X2)))) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.32.0.1']),
% 0.42/0.82 [weight('<71,31,25,[0,0,0,6]>')]).
% 0.42/0.82 cnf('0.32.2.0',plain,
% 0.42/0.82 ( multiply(X1,inverse(multiply(X2,inverse(X2)))) = X1 ),
% 0.42/0.82 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.42/0.82 [x,rule_20]).
% 0.42/0.82 cnf('0.33.0.0',plain,
% 0.42/0.82 ( X1 = inverse(multiply(inverse(X1),inverse(inverse(inverse(multiply(X2,multiply(inverse(X2),inverse(multiply(X3,inverse(X3)))))))))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.21.2.0','0.32.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.1.2','L')]).
% 0.42/0.82 cnf('0.33.0.1',plain,
% 0.42/0.82 ( X1 = inverse(multiply(inverse(X1),inverse(inverse(inverse(multiply(X2,inverse(X2))))))) ),
% 0.42/0.82 inference(reduction,[status(thm)],['0.33.0.0','0.32.2.0',theory(equality)]),
% 0.42/0.82 [pos('R.1.2.1.1.1.2','L')]).
% 0.42/0.82 cnf('0.33.1.0',plain,
% 0.42/0.82 ( X1 = inverse(multiply(inverse(X1),inverse(inverse(inverse(multiply(X2,inverse(X2))))))) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.33.0.1']),
% 0.42/0.82 [weight('<155,32,21,[0,0,0,4]>')]).
% 0.42/0.82 cnf('0.33.2.0',plain,
% 0.42/0.82 ( inverse(multiply(inverse(X1),inverse(inverse(inverse(multiply(X2,inverse(X2))))))) = X1 ),
% 0.42/0.82 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.42/0.82 [x,rule_21]).
% 0.42/0.82 cnf('0.35.0.0',plain,
% 0.42/0.82 ( X1 = inverse(multiply(inverse(X1),multiply(inverse(multiply(X2,inverse(X2))),multiply(X3,inverse(X3))))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.21.2.0','0.31.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.1.2.1.1','L')]).
% 0.42/0.82 cnf('0.35.1.0',plain,
% 0.42/0.82 ( X1 = inverse(multiply(inverse(X1),multiply(inverse(multiply(X2,inverse(X2))),multiply(X3,inverse(X3))))) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.35.0.0']),
% 0.42/0.82 [weight('<239,31,21,[0,0,0,6]>')]).
% 0.42/0.82 cnf('0.35.2.0',plain,
% 0.42/0.82 ( inverse(multiply(inverse(X1),multiply(inverse(multiply(X2,inverse(X2))),multiply(X3,inverse(X3))))) = X1 ),
% 0.42/0.82 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.42/0.82 [x,rule_23]).
% 0.42/0.82 cnf('0.39.0.0',plain,
% 0.42/0.82 ( multiply(multiply(X1,inverse(X1)),inverse(inverse(inverse(multiply(X2,multiply(inverse(X2),X3)))))) = inverse(inverse(inverse(X3))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.31.2.0','0.27.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.1.1','L')]).
% 0.42/0.82 cnf('0.39.1.0',plain,
% 0.42/0.82 ( multiply(multiply(X1,inverse(X1)),inverse(inverse(inverse(multiply(X2,multiply(inverse(X2),X3)))))) = inverse(inverse(inverse(X3))) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.39.0.0']),
% 0.42/0.82 [weight('<284,31,27,[1,0,0,2]>')]).
% 0.42/0.82 cnf('0.39.2.0',plain,
% 0.42/0.82 ( multiply(multiply(X1,inverse(X1)),inverse(inverse(inverse(multiply(X2,multiply(inverse(X2),X3)))))) = inverse(inverse(inverse(X3))) ),
% 0.42/0.82 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.42/0.82 [u,rule_27]).
% 0.42/0.82 cnf('0.40.0.0',plain,
% 0.42/0.82 ( inverse(inverse(inverse(multiply(X1,inverse(X1))))) = multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,inverse(X3)))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.39.2.0','0.31.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.2.1','L')]).
% 0.42/0.82 cnf('0.40.0.1',plain,
% 0.42/0.82 ( inverse(inverse(inverse(multiply(X1,inverse(X1))))) = multiply(X2,inverse(X2)) ),
% 0.42/0.82 inference(reduction,[status(thm)],['0.40.0.0','0.32.2.0',theory(equality)]),
% 0.42/0.82 [pos('R','L')]).
% 0.42/0.82 cnf('0.40.1.0',plain,
% 0.42/0.82 ( inverse(inverse(inverse(multiply(X1,inverse(X1))))) = multiply(X2,inverse(X2)) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.40.0.1']),
% 0.42/0.82 [weight('<143,39,31,[1,0,0,6]>')]).
% 0.42/0.82 cnf('0.40.2.0',plain,
% 0.42/0.82 ( inverse(inverse(inverse(multiply(X1,inverse(X1))))) = multiply(X2,inverse(X2)) ),
% 0.42/0.82 inference(activate,[status(thm)],['0.40.1.0']),
% 0.42/0.82 [equation_13]).
% 0.42/0.82 cnf('0.40.2.1',plain,
% 0.42/0.82 ( inverse(inverse(inverse(multiply(X1,inverse(X1))))) = multiply(b1,inverse(b1)) ),
% 0.42/0.82 inference(instr,[status(thm)],['0.40.2.0',theory(equality)])).
% 0.42/0.82 cnf('0.40.2.2',plain,
% 0.42/0.82 ( inverse(inverse(inverse(multiply(b1,inverse(b1))))) = multiply(X1,inverse(X1)) ),
% 0.42/0.82 inference(instl,[status(thm)],['0.40.2.0',theory(equality)])).
% 0.42/0.82 cnf('0.41.0.0',plain,
% 0.42/0.82 ( inverse(multiply(inverse(X1),inverse(inverse(inverse(multiply(X2,inverse(X2))))))) = X1 ),
% 0.42/0.82 inference(interreduction_right,[status(thm)],['0.33.2.0'])).
% 0.42/0.82 cnf('0.41.1.0',plain,
% 0.42/0.82 ( inverse(multiply(inverse(X1),inverse(inverse(inverse(multiply(X2,inverse(X2))))))) = X1 ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.41.0.0']),
% 0.42/0.82 [weight('<155,33,40,[0,0,0,0]>')]).
% 0.42/0.82 cnf('0.41.1.1',plain,
% 0.42/0.82 ( inverse(multiply(inverse(X1),multiply(b1,inverse(b1)))) = X1 ),
% 0.42/0.82 inference(reduction,[status(thm)],['0.41.1.0','0.40.2.1',theory(equality)]),
% 0.42/0.82 [pos('L.1.2','L')]).
% 0.42/0.82 cnf('0.41.2.0',plain,
% 0.42/0.82 ( inverse(multiply(inverse(X1),multiply(b1,inverse(b1)))) = X1 ),
% 0.42/0.82 inference(orient,[status(thm)],['0.41.1.1',theory(equality)]),
% 0.42/0.82 [u,rule_28]).
% 0.42/0.82 cnf('0.42.0.0',plain,
% 0.42/0.82 ( X1 = inverse(multiply(inverse(X1),multiply(X2,inverse(X2)))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.41.2.0','0.8.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.1.2','L')]).
% 0.42/0.82 cnf('0.42.1.0',plain,
% 0.42/0.82 ( X1 = inverse(multiply(inverse(X1),multiply(X2,inverse(X2)))) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.42.0.0']),
% 0.42/0.82 [weight('<89,41,8,[1,0,0,4]>')]).
% 0.42/0.82 cnf('0.42.2.0',plain,
% 0.42/0.82 ( inverse(multiply(inverse(X1),multiply(X2,inverse(X2)))) = X1 ),
% 0.42/0.82 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.42/0.82 [x,rule_29]).
% 0.42/0.82 cnf('0.43.0.0',plain,
% 0.42/0.82 ( inverse(inverse(inverse(inverse(inverse(inverse(X1)))))) = multiply(multiply(X2,inverse(X2)),inverse(inverse(X1))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.39.2.0','0.42.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.2.1.1','L')]).
% 0.42/0.82 cnf('0.43.1.0',plain,
% 0.42/0.82 ( inverse(inverse(inverse(inverse(inverse(inverse(X1)))))) = multiply(multiply(X2,inverse(X2)),inverse(inverse(X1))) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.43.0.0']),
% 0.42/0.82 [weight('<143,42,39,[0,0,0,7]>')]).
% 0.42/0.82 cnf('0.43.2.0',plain,
% 0.42/0.82 ( multiply(multiply(X1,inverse(X1)),inverse(inverse(X2))) = inverse(inverse(inverse(inverse(inverse(inverse(X2)))))) ),
% 0.42/0.82 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.42/0.82 [x,rule_30]).
% 0.42/0.82 cnf('0.44.0.0',plain,
% 0.42/0.82 ( inverse(inverse(inverse(inverse(inverse(inverse(multiply(X1,multiply(inverse(inverse(inverse(multiply(X2,multiply(inverse(X2),X3))))),X3)))))))) = multiply(multiply(X4,inverse(X4)),X1) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.43.2.0','0.25.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.2','L')]).
% 0.42/0.82 cnf('0.44.0.1',plain,
% 0.42/0.82 ( inverse(inverse(inverse(inverse(X1)))) = multiply(multiply(X4,inverse(X4)),X1) ),
% 0.42/0.82 inference(reduction,[status(thm)],['0.44.0.0','0.25.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.1.1.1.1','L')]).
% 0.42/0.82 cnf('0.44.1.0',plain,
% 0.42/0.82 ( inverse(inverse(inverse(inverse(X1)))) = multiply(multiply(X4,inverse(X4)),X1) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.44.0.1']),
% 0.42/0.82 [weight('<83,43,25,[1,0,0,5]>')]).
% 0.42/0.82 cnf('0.44.2.0',plain,
% 0.42/0.82 ( multiply(multiply(X1,inverse(X1)),X2) = inverse(inverse(inverse(inverse(X2)))) ),
% 0.42/0.82 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.42/0.82 [x,rule_31]).
% 0.42/0.82 cnf('0.45.0.0',plain,
% 0.42/0.82 ( inverse(multiply(inverse(multiply(X1,multiply(inverse(X1),multiply(multiply(X2,inverse(X2)),X3)))),multiply(X4,inverse(X4)))) = X3 ),
% 0.42/0.82 inference(interreduction_right,[status(thm)],['0.16.2.0'])).
% 0.42/0.82 cnf('0.45.0.1',plain,
% 0.42/0.82 ( multiply(X1,multiply(inverse(X1),multiply(multiply(X2,inverse(X2)),X3))) = X3 ),
% 0.42/0.82 inference(reduction,[status(thm)],['0.45.0.0','0.42.2.0',theory(equality)]),
% 0.42/0.82 [pos('L','L')]).
% 0.42/0.82 cnf('0.45.1.0',plain,
% 0.42/0.82 ( multiply(X1,multiply(inverse(X1),multiply(multiply(X2,inverse(X2)),X3))) = X3 ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.45.0.1']),
% 0.42/0.82 [weight('<155,16,42,[0,0,0,0]>')]).
% 0.42/0.82 cnf('0.45.1.1',plain,
% 0.42/0.82 ( multiply(X1,multiply(inverse(X1),inverse(inverse(inverse(inverse(X3)))))) = X3 ),
% 0.42/0.82 inference(reduction,[status(thm)],['0.45.1.0','0.44.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.2.2','L')]).
% 0.42/0.82 cnf('0.45.1.2',plain,
% 0.42/0.82 ( multiply(inverse(inverse(X3)),multiply(b1,inverse(b1))) = X3 ),
% 0.42/0.82 inference(reduction,[status(thm)],['0.45.1.1','0.20.2.2',theory(equality)]),
% 0.42/0.82 [pos('L','R')]).
% 0.42/0.82 cnf('0.45.2.0',plain,
% 0.42/0.82 ( multiply(inverse(inverse(X1)),multiply(b1,inverse(b1))) = X1 ),
% 0.42/0.82 inference(orient,[status(thm)],['0.45.1.2',theory(equality)]),
% 0.42/0.82 [u,rule_32]).
% 0.42/0.82 cnf('0.46.0.0',plain,
% 0.42/0.82 ( multiply(X1,inverse(inverse(X2))) = inverse(inverse(multiply(X1,X2))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.31.2.0','0.45.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.1.1.2','L')]).
% 0.42/0.82 cnf('0.46.1.0',plain,
% 0.42/0.82 ( multiply(X1,inverse(inverse(X2))) = inverse(inverse(multiply(X1,X2))) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.46.0.0']),
% 0.42/0.82 [weight('<65,45,31,[0,0,0,4]>')]).
% 0.42/0.82 cnf('0.46.2.0',plain,
% 0.42/0.82 ( inverse(inverse(multiply(X1,X2))) = multiply(X1,inverse(inverse(X2))) ),
% 0.42/0.82 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.42/0.82 [x,rule_33]).
% 0.42/0.82 cnf('0.47.0.0',plain,
% 0.42/0.82 ( X1 = multiply(inverse(inverse(X1)),multiply(X2,inverse(X2))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.45.2.0','0.8.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.2','L')]).
% 0.42/0.82 cnf('0.47.1.0',plain,
% 0.42/0.82 ( X1 = multiply(inverse(inverse(X1)),multiply(X2,inverse(X2))) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.47.0.0']),
% 0.42/0.82 [weight('<89,45,8,[1,0,0,4]>')]).
% 0.42/0.82 cnf('0.47.2.0',plain,
% 0.42/0.82 ( multiply(inverse(inverse(X1)),multiply(X2,inverse(X2))) = X1 ),
% 0.42/0.82 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.42/0.82 [x,rule_34]).
% 0.42/0.82 cnf('0.48.0.0',plain,
% 0.42/0.82 ( multiply(inverse(X1),inverse(inverse(multiply(X2,inverse(X2))))) = inverse(X1) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.46.2.0','0.42.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.1','L')]).
% 0.42/0.82 cnf('0.48.0.1',plain,
% 0.42/0.82 ( multiply(inverse(X1),multiply(X2,inverse(inverse(inverse(X2))))) = inverse(X1) ),
% 0.42/0.82 inference(reduction,[status(thm)],['0.48.0.0','0.46.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.2','L')]).
% 0.42/0.82 cnf('0.48.1.0',plain,
% 0.42/0.82 ( multiply(inverse(X1),multiply(X2,inverse(inverse(inverse(X2))))) = inverse(X1) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.48.0.1']),
% 0.42/0.82 [weight('<119,46,42,[1,0,0,1]>')]).
% 0.42/0.82 cnf('0.48.2.0',plain,
% 0.42/0.82 ( multiply(inverse(X1),multiply(X2,inverse(inverse(inverse(X2))))) = inverse(X1) ),
% 0.42/0.82 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 0.42/0.82 [u,rule_35]).
% 0.42/0.82 cnf('0.49.0.0',plain,
% 0.42/0.82 ( inverse(multiply(inverse(X1),multiply(inverse(multiply(X2,inverse(X2))),multiply(X3,inverse(X3))))) = multiply(X1,multiply(X4,inverse(inverse(inverse(X4))))) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.48.2.0','0.35.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.1','L')]).
% 0.42/0.82 cnf('0.49.0.1',plain,
% 0.42/0.82 ( X1 = multiply(X1,multiply(X4,inverse(inverse(inverse(X4))))) ),
% 0.42/0.82 inference(reduction,[status(thm)],['0.49.0.0','0.35.2.0',theory(equality)]),
% 0.42/0.82 [pos('L','L')]).
% 0.42/0.82 cnf('0.49.1.0',plain,
% 0.42/0.82 ( X1 = multiply(X1,multiply(X4,inverse(inverse(inverse(X4))))) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.49.0.1']),
% 0.42/0.82 [weight('<89,48,35,[1,0,0,1]>')]).
% 0.42/0.82 cnf('0.49.2.0',plain,
% 0.42/0.82 ( multiply(X1,multiply(X2,inverse(inverse(inverse(X2))))) = X1 ),
% 0.42/0.82 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.42/0.82 [x,rule_36]).
% 0.42/0.82 cnf('0.50.0.0',plain,
% 0.42/0.82 ( inverse(multiply(X1,multiply(inverse(inverse(inverse(X1))),multiply(X2,inverse(X2))))) = multiply(X3,inverse(X3)) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.49.2.0','0.30.2.0',theory(equality)]),
% 0.42/0.82 [pos('L','R')]).
% 0.42/0.82 cnf('0.50.0.1',plain,
% 0.42/0.82 ( inverse(multiply(X1,inverse(X1))) = multiply(X3,inverse(X3)) ),
% 0.42/0.82 inference(reduction,[status(thm)],['0.50.0.0','0.47.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.1.2','L')]).
% 0.42/0.82 cnf('0.50.1.0',plain,
% 0.42/0.82 ( inverse(multiply(X1,inverse(X1))) = multiply(X3,inverse(X3)) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.50.0.1']),
% 0.42/0.82 [weight('<99,49,30,[1,0,1,0]>')]).
% 0.42/0.82 cnf('0.50.2.0',plain,
% 0.42/0.82 ( inverse(multiply(X1,inverse(X1))) = multiply(X2,inverse(X2)) ),
% 0.42/0.82 inference(activate,[status(thm)],['0.50.1.0']),
% 0.42/0.82 [equation_14]).
% 0.42/0.82 cnf('0.50.2.1',plain,
% 0.42/0.82 ( inverse(multiply(X1,inverse(X1))) = multiply(b1,inverse(b1)) ),
% 0.42/0.82 inference(instr,[status(thm)],['0.50.2.0',theory(equality)])).
% 0.42/0.82 cnf('0.50.2.2',plain,
% 0.42/0.82 ( inverse(multiply(b1,inverse(b1))) = multiply(X1,inverse(X1)) ),
% 0.42/0.82 inference(instl,[status(thm)],['0.50.2.0',theory(equality)])).
% 0.42/0.82 cnf('0.51.0.0',plain,
% 0.42/0.82 ( multiply(X1,inverse(multiply(X2,inverse(X2)))) = X1 ),
% 0.42/0.82 inference(interreduction_right,[status(thm)],['0.32.2.0'])).
% 0.42/0.82 cnf('0.51.1.0',plain,
% 0.42/0.82 ( multiply(X1,inverse(multiply(X2,inverse(X2)))) = X1 ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.51.0.0']),
% 0.42/0.82 [weight('<71,32,50,[0,0,0,0]>')]).
% 0.42/0.82 cnf('0.51.1.1',plain,
% 0.42/0.82 ( multiply(X1,multiply(b1,inverse(b1))) = X1 ),
% 0.42/0.82 inference(reduction,[status(thm)],['0.51.1.0','0.50.2.1',theory(equality)]),
% 0.42/0.82 [pos('L.2','L')]).
% 0.42/0.82 cnf('0.51.2.0',plain,
% 0.42/0.82 ( multiply(X1,multiply(b1,inverse(b1))) = X1 ),
% 0.42/0.82 inference(orient,[status(thm)],['0.51.1.1',theory(equality)]),
% 0.42/0.82 [u,rule_37]).
% 0.42/0.82 cnf('0.52.0.0',plain,
% 0.42/0.82 ( X1 = inverse(inverse(X1)) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.42.2.0','0.51.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.1','L')]).
% 0.42/0.82 cnf('0.52.1.0',plain,
% 0.42/0.82 ( X1 = inverse(inverse(X1)) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.52.0.0']),
% 0.42/0.82 [weight('<19,51,42,[0,0,0,1]>')]).
% 0.42/0.82 cnf('0.52.2.0',plain,
% 0.42/0.82 ( inverse(inverse(X1)) = X1 ),
% 0.42/0.82 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 0.42/0.82 [x,rule_38]).
% 0.42/0.82 cnf('0.68.0.0',plain,
% 0.42/0.82 ( multiply(X1,inverse(X1)) = multiply(inverse(X2),X2) ),
% 0.42/0.82 inference(cp,[status(thm)],['0.8.2.0','0.52.2.0',theory(equality)]),
% 0.42/0.82 [pos('L.2','L')]).
% 0.42/0.82 cnf('0.68.1.0',plain,
% 0.42/0.82 ( multiply(X1,inverse(X1)) = multiply(inverse(X2),X2) ),
% 0.42/0.82 inference(weigh,[status(thm)],['0.68.0.0']),
% 0.42/0.82 [weight('<80,52,8,[0,0,0,2]>')]).
% 0.42/0.82 cnf('0.68.2.0',plain,
% 0.42/0.82 ( multiply(X1,inverse(X1)) = multiply(inverse(X2),X2) ),
% 0.42/0.82 inference(activate,[status(thm)],['0.68.1.0']),
% 0.42/0.82 [equation_15]).
% 0.42/0.82 cnf('0.68.2.1',plain,
% 0.42/0.82 ( multiply(X1,inverse(X1)) = multiply(inverse(b1),b1) ),
% 0.42/0.82 inference(instr,[status(thm)],['0.68.2.0',theory(equality)])).
% 0.42/0.82 cnf('0.68.2.2',plain,
% 0.42/0.82 ( multiply(b1,inverse(b1)) = multiply(inverse(X1),X1) ),
% 0.42/0.82 inference(instl,[status(thm)],['0.68.2.0',theory(equality)])).
% 0.42/0.82 cnf('1.0.0.0',conjecture,
% 0.42/0.82 ( multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
% 0.42/0.82 file('/tmp/WALDMEISTER_26154_n032',conjecture_1)).
% 0.42/0.82 cnf('1.0.0.1',plain,
% 0.42/0.82 ( multiply(b1,inverse(b1)) = multiply(inverse(b1),b1) ),
% 0.42/0.82 inference(reduction,[status(thm)],['1.0.0.0','0.68.2.2',theory(equality)]),
% 0.42/0.82 [pos('L','R')]).
% 0.42/0.82 cnf('1.0.0.2',plain,
% 0.42/0.82 ( multiply(b1,inverse(b1)) = multiply(b1,inverse(b1)) ),
% 0.42/0.82 inference(reduction,[status(thm)],['1.0.0.1','0.68.2.2',theory(equality)]),
% 0.42/0.82 [pos('R','R')]).
% 0.42/0.82 cnf('1.0.0.3',plain,
% 0.42/0.82 ( $true ),
% 0.42/0.82 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.42/0.82 [conjecture_1]).
% 0.42/0.82
% 0.42/0.82 Proved Goals:
% 0.42/0.82 No. 1: multiply(inverse(a1),a1) ?= multiply(inverse(b1),b1) joined, current: multiply(b1,inverse(b1)) = multiply(b1,inverse(b1))
% 0.42/0.82 1 goal was specified, which was proved.
% 0.42/0.82 % SZS output end CNFRefutation
% 0.42/0.82 #END OF PROOF
% 0.42/0.82
% 0.42/0.82 Problem WALDMEISTER_26154_n032
% 0.42/0.82 CPs.gen 4192
% 0.42/0.82 CPs.reexp 0
% 0.42/0.82 Select 262
% 0.42/0.82 R 53
% 0.42/0.82 E 15
% 0.42/0.82 vsize 6.5M
% 0.42/0.82 rss 3.7M
% 0.42/0.82 process.time 0.027s
% 0.42/0.82 wallclock.time 0.027s
% 0.42/0.82 status S
% 0.42/0.82
% 0.42/0.82
% 0.42/0.82 Waldmeister states: Goal proved.
% 0.42/0.82 % SZS status Unsatisfiable
%------------------------------------------------------------------------------