TSTP Solution File: BOO067-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : BOO067-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n024.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 : Thu Jul 14 23:52:56 EDT 2022
% Result : Unsatisfiable 12.23s 12.68s
% Output : CNFRefutation 12.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : BOO067-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.09 % Command : woody %s
% 0.08/0.28 % Computer : n024.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Wed Jun 1 16:26:51 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.54/0.94 ********************************************************************************
% 0.54/0.94 * W A L D M E I S T E R \| \ / \|/ *
% 0.54/0.94 * |/ | \/ | *
% 0.54/0.94 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.54/0.94 * A. Jaeger and B. Loechner | | *
% 0.54/0.94 * <waldmeister@informatik.uni-kl.de> | *
% 0.54/0.94 ********************************************************************************
% 0.54/0.94
% 0.54/0.94
% 0.54/0.94 Goals:
% 0.54/0.94 ------
% 0.54/0.94
% 0.54/0.94 ( 1) multiply(multiply(d,e,a),b,multiply(d,e,c)) ?=? multiply(d,e,multiply(a,b,c))
% 0.54/0.94
% 0.54/0.94 Detected structure: Orkus
% 0.54/0.94 ********************************************************************************
% 0.54/0.94 ****************************** COMPLETION - PROOF ******************************
% 0.54/0.94 ********************************************************************************
% 0.54/0.94
% 12.23/12.68 joined goal: 1 multiply(multiply(d,e,a),b,multiply(d,e,c)) ?= multiply(d,e,multiply(a,b,c)) to multiply(e,multiply(c,b,a),d)
% 12.23/12.68 goal joined
% 12.23/12.68 % SZS status Unsatisfiable
% 12.23/12.68 #START OF PROOF
% 12.23/12.68 % SZS output start CNFRefutation
% 12.23/12.68 cnf('0.1.0.0',axiom,
% 12.23/12.68 ( X1 = multiply(multiply(X2,inverse(X2),X1),inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3)) ),
% 12.23/12.68 file('/tmp/WALDMEISTER_31209_n024')).
% 12.23/12.68 cnf('0.1.1.0',plain,
% 12.23/12.68 ( X1 = multiply(multiply(X2,inverse(X2),X1),inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3)) ),
% 12.23/12.68 inference(weigh,[status(thm)],['0.1.0.0']),
% 12.23/12.68 [weight('<0,0,0,[0,0,0,1]>')]).
% 12.23/12.68 cnf('0.1.2.0',plain,
% 12.23/12.68 ( multiply(multiply(X1,inverse(X1),X2),inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3)) = X2 ),
% 12.23/12.68 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 12.23/12.68 [x,rule_1]).
% 12.23/12.68 cnf('0.2.0.0',plain,
% 12.23/12.68 ( multiply(X1,multiply(X2,inverse(multiply(X3,X1,X4)),X4),X3) = multiply(multiply(X3,X1,X2),inverse(multiply(multiply(X5,X6,X7),X8,multiply(X5,X6,X9))),multiply(X6,multiply(X9,X8,X7),X5)) ),
% 12.23/12.68 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 12.23/12.68 [pos('L.1','L')]).
% 12.23/12.68 cnf('0.2.1.0',plain,
% 12.23/12.68 ( multiply(X1,multiply(X2,inverse(multiply(X3,X1,X4)),X4),X3) = multiply(multiply(X3,X1,X2),inverse(multiply(multiply(X5,X6,X7),X8,multiply(X5,X6,X9))),multiply(X6,multiply(X9,X8,X7),X5)) ),
% 12.23/12.68 inference(weigh,[status(thm)],['0.2.0.0']),
% 12.23/12.68 [weight('<?,1,1,[0,0,0,1]>')]).
% 12.23/12.68 cnf('0.2.2.0',plain,
% 12.23/12.68 ( multiply(X1,multiply(X2,inverse(multiply(X3,X1,X4)),X4),X3) = multiply(multiply(X3,X1,X2),inverse(multiply(multiply(X5,X6,X7),X8,multiply(X5,X6,X9))),multiply(X6,multiply(X9,X8,X7),X5)) ),
% 12.23/12.68 inference(activate,[status(thm)],['0.2.1.0']),
% 12.23/12.68 [equation_1]).
% 12.23/12.68 cnf('0.2.2.1',plain,
% 12.23/12.68 ( multiply(X1,multiply(X2,inverse(multiply(X3,X1,X4)),X4),X3) = multiply(multiply(X3,X1,X2),inverse(multiply(multiply(c,c,c),c,multiply(c,c,c))),multiply(c,multiply(c,c,c),c)) ),
% 12.23/12.68 inference(instr,[status(thm)],['0.2.2.0',theory(equality)])).
% 12.23/12.68 cnf('0.2.2.2',plain,
% 12.23/12.68 ( multiply(X2,multiply(X3,inverse(multiply(X1,X2,c)),c),X1) = multiply(multiply(X1,X2,X3),inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),multiply(X5,multiply(X8,X7,X6),X4)) ),
% 12.23/12.68 inference(instl,[status(thm)],['0.2.2.0',theory(equality)])).
% 12.23/12.68 cnf('0.3.0.0',plain,
% 12.23/12.68 ( multiply(inverse(X1),multiply(X2,inverse(multiply(X1,inverse(X1),X3)),X3),X1) = X2 ),
% 12.23/12.68 inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 12.23/12.68 [pos('R','L')]).
% 12.23/12.68 cnf('0.3.1.0',plain,
% 12.23/12.68 ( multiply(inverse(X1),multiply(X2,inverse(multiply(X1,inverse(X1),X3)),X3),X1) = X2 ),
% 12.23/12.68 inference(weigh,[status(thm)],['0.3.0.0']),
% 12.23/12.68 [weight('<209,2,1,[1,1,0,0]>')]).
% 12.23/12.68 cnf('0.3.2.0',plain,
% 12.23/12.68 ( multiply(inverse(X1),multiply(X2,inverse(multiply(X1,inverse(X1),X3)),X3),X1) = X2 ),
% 12.23/12.68 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 12.23/12.68 [u,rule_2]).
% 12.23/12.68 cnf('0.4.0.0',plain,
% 12.23/12.68 ( multiply(X1,multiply(X2,inverse(multiply(X3,X1,X4)),X4),X3) = multiply(X1,multiply(X2,inverse(multiply(X3,X1,X5)),X5),X3) ),
% 12.23/12.68 inference(cp,[status(thm)],['0.2.2.0','0.2.2.0',theory(equality)]),
% 12.23/12.68 [pos('R','R')]).
% 12.23/12.68 cnf('0.4.1.0',plain,
% 12.23/12.68 ( multiply(X1,multiply(X2,inverse(multiply(X3,X1,X4)),X4),X3) = multiply(X1,multiply(X2,inverse(multiply(X3,X1,X5)),X5),X3) ),
% 12.23/12.68 inference(weigh,[status(thm)],['0.4.0.0']),
% 12.23/12.68 [weight('<528,2,2,[1,1,1,0]>')]).
% 12.23/12.68 cnf('0.4.2.0',plain,
% 12.23/12.68 ( multiply(X1,multiply(X2,inverse(multiply(X3,X1,X4)),X4),X3) = multiply(X1,multiply(X2,inverse(multiply(X3,X1,X5)),X5),X3) ),
% 12.23/12.68 inference(activate,[status(thm)],['0.4.1.0']),
% 12.23/12.68 [equation_2]).
% 12.23/12.68 cnf('0.4.2.1',plain,
% 12.23/12.68 ( multiply(X1,multiply(X2,inverse(multiply(X3,X1,X4)),X4),X3) = multiply(X1,multiply(X2,inverse(multiply(X3,X1,c)),c),X3) ),
% 12.23/12.68 inference(instr,[status(thm)],['0.4.2.0',theory(equality)])).
% 12.23/12.68 cnf('0.4.2.2',plain,
% 12.23/12.68 ( multiply(X1,multiply(X2,inverse(multiply(X3,X1,c)),c),X3) = multiply(X1,multiply(X2,inverse(multiply(X3,X1,X4)),X4),X3) ),
% 12.23/12.68 inference(instl,[status(thm)],['0.4.2.0',theory(equality)])).
% 12.23/12.68 cnf('0.5.0.0',plain,
% 12.23/12.68 ( X1 = multiply(multiply(X2,inverse(X2),X1),inverse(multiply(multiply(X3,inverse(X3),X4),inverse(multiply(X3,inverse(X3),X4)),multiply(X3,inverse(X3),X5))),X5) ),
% 12.23/12.68 inference(cp,[status(thm)],['0.1.2.0','0.3.2.0',theory(equality)]),
% 12.23/12.68 [pos('L.3','L')]).
% 12.23/12.68 cnf('0.5.1.0',plain,
% 12.23/12.68 ( X1 = multiply(multiply(X2,inverse(X2),X1),inverse(multiply(multiply(X3,inverse(X3),X4),inverse(multiply(X3,inverse(X3),X4)),multiply(X3,inverse(X3),X5))),X5) ),
% 12.23/12.68 inference(weigh,[status(thm)],['0.5.0.0']),
% 12.23/12.68 [weight('<701,3,1,[0,0,0,17]>')]).
% 12.23/12.68 cnf('0.5.2.0',plain,
% 12.23/12.68 ( multiply(multiply(X1,inverse(X1),X2),inverse(multiply(multiply(X3,inverse(X3),X4),inverse(multiply(X3,inverse(X3),X4)),multiply(X3,inverse(X3),X5))),X5) = X2 ),
% 12.23/12.68 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 12.23/12.68 [x,rule_3]).
% 12.23/12.68 cnf('0.7.0.0',plain,
% 12.23/12.68 ( X1 = multiply(multiply(X2,inverse(X2),X1),inverse(multiply(multiply(X3,X4,X5),multiply(X6,inverse(multiply(X5,inverse(X5),X7)),X7),multiply(X3,X4,inverse(X5)))),multiply(X4,X6,X3)) ),
% 12.23/12.68 inference(cp,[status(thm)],['0.1.2.0','0.3.2.0',theory(equality)]),
% 12.23/12.68 [pos('L.3.2','L')]).
% 12.23/12.68 cnf('0.7.1.0',plain,
% 12.23/12.68 ( X1 = multiply(multiply(X2,inverse(X2),X1),inverse(multiply(multiply(X3,X4,X5),multiply(X6,inverse(multiply(X5,inverse(X5),X7)),X7),multiply(X3,X4,inverse(X5)))),multiply(X4,X6,X3)) ),
% 12.23/12.68 inference(weigh,[status(thm)],['0.7.0.0']),
% 12.23/12.68 [weight('<991,3,1,[0,0,0,19]>')]).
% 12.23/12.68 cnf('0.7.2.0',plain,
% 12.23/12.68 ( multiply(multiply(X1,inverse(X1),X2),inverse(multiply(multiply(X3,X4,X5),multiply(X6,inverse(multiply(X5,inverse(X5),X7)),X7),multiply(X3,X4,inverse(X5)))),multiply(X4,X6,X3)) = X2 ),
% 12.23/12.68 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 12.23/12.68 [x,rule_5]).
% 12.23/12.68 cnf('0.11.0.0',plain,
% 12.23/12.68 ( X1 = multiply(multiply(X2,inverse(X2),X1),inverse(X3),multiply(inverse(X4),multiply(X5,inverse(multiply(multiply(X5,X4,X6),multiply(inverse(X4),inverse(multiply(X6,inverse(X6),X7)),X7),multiply(X5,X4,inverse(X6)))),X3),X4)) ),
% 12.23/12.68 inference(cp,[status(thm)],['0.1.2.0','0.7.2.0',theory(equality)]),
% 12.23/12.68 [pos('L.2.1','L')]).
% 12.23/12.68 cnf('0.11.1.0',plain,
% 12.23/12.68 ( X1 = multiply(multiply(X2,inverse(X2),X1),inverse(X3),multiply(inverse(X4),multiply(X5,inverse(multiply(multiply(X5,X4,X6),multiply(inverse(X4),inverse(multiply(X6,inverse(X6),X7)),X7),multiply(X5,X4,inverse(X6)))),X3),X4)) ),
% 12.23/12.68 inference(weigh,[status(thm)],['0.11.0.0']),
% 12.23/12.68 [weight('<1405,7,1,[0,0,0,7]>')]).
% 12.23/12.68 cnf('0.11.2.0',plain,
% 12.23/12.68 ( multiply(multiply(X1,inverse(X1),X2),inverse(X3),multiply(inverse(X4),multiply(X5,inverse(multiply(multiply(X5,X4,X6),multiply(inverse(X4),inverse(multiply(X6,inverse(X6),X7)),X7),multiply(X5,X4,inverse(X6)))),X3),X4)) = X2 ),
% 12.23/12.68 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 12.23/12.68 [x,rule_7]).
% 12.23/12.68 cnf('0.12.0.0',plain,
% 12.23/12.68 ( X1 = multiply(multiply(X2,inverse(X2),X1),inverse(multiply(X3,multiply(inverse(X4),multiply(inverse(X3),inverse(multiply(X4,inverse(X4),X5)),X5),X4),multiply(X6,inverse(X6),X7))),multiply(inverse(X3),X7,X3)) ),
% 12.23/12.68 inference(cp,[status(thm)],['0.11.2.0','0.1.2.0',theory(equality)]),
% 12.23/12.68 [pos('L.3.2','L')]).
% 12.23/12.68 cnf('0.12.0.1',plain,
% 12.23/12.68 ( X1 = multiply(multiply(X2,inverse(X2),X1),inverse(multiply(X3,inverse(X3),multiply(X6,inverse(X6),X7))),multiply(inverse(X3),X7,X3)) ),
% 12.23/12.68 inference(reduction,[status(thm)],['0.12.0.0','0.3.2.0',theory(equality)]),
% 12.23/12.68 [pos('R.2.1.2','L')]).
% 12.23/12.68 cnf('0.12.1.0',plain,
% 12.23/12.68 ( X1 = multiply(multiply(X2,inverse(X2),X1),inverse(multiply(X3,inverse(X3),multiply(X6,inverse(X6),X7))),multiply(inverse(X3),X7,X3)) ),
% 12.23/12.68 inference(weigh,[status(thm)],['0.12.0.1']),
% 12.23/12.68 [weight('<505,11,1,[1,0,0,11]>')]).
% 12.23/12.68 cnf('0.12.2.0',plain,
% 12.23/12.68 ( multiply(multiply(X1,inverse(X1),X2),inverse(multiply(X3,inverse(X3),multiply(X4,inverse(X4),X5))),multiply(inverse(X3),X5,X3)) = X2 ),
% 12.23/12.68 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 12.23/12.68 [x,rule_8]).
% 12.23/12.68 cnf('0.13.0.0',plain,
% 12.23/12.68 ( multiply(inverse(X1),X2,X1) = multiply(multiply(X3,inverse(X3),X2),inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),multiply(X5,multiply(X8,X7,X6),X4)) ),
% 12.23/12.68 inference(cp,[status(thm)],['0.1.2.0','0.12.2.0',theory(equality)]),
% 12.23/12.68 [pos('L.1','L')]).
% 12.23/12.68 cnf('0.13.0.1',plain,
% 12.23/12.68 ( multiply(inverse(X1),X2,X1) = X2 ),
% 12.23/12.68 inference(reduction,[status(thm)],['0.13.0.0','0.1.2.0',theory(equality)]),
% 12.23/12.68 [pos('R','L')]).
% 12.23/12.68 cnf('0.13.1.0',plain,
% 12.23/12.68 ( multiply(inverse(X1),X2,X1) = X2 ),
% 12.23/12.68 inference(weigh,[status(thm)],['0.13.0.1']),
% 12.23/12.68 [weight('<41,12,1,[0,0,0,1]>')]).
% 12.23/12.68 cnf('0.13.2.0',plain,
% 12.23/12.68 ( multiply(inverse(X1),X2,X1) = X2 ),
% 12.23/12.68 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 12.23/12.68 [u,rule_9]).
% 12.23/12.68 cnf('0.14.0.0',plain,
% 12.23/12.68 ( multiply(inverse(X1),multiply(X2,inverse(multiply(X1,inverse(X1),X3)),X3),X1) = X2 ),
% 12.23/12.68 inference(interreduction_right,[status(thm)],['0.3.2.0'])).
% 12.23/12.68 cnf('0.14.0.1',plain,
% 12.23/12.68 ( multiply(X2,inverse(multiply(X1,inverse(X1),X3)),X3) = X2 ),
% 12.23/12.68 inference(reduction,[status(thm)],['0.14.0.0','0.13.2.0',theory(equality)]),
% 12.23/12.68 [pos('L','L')]).
% 12.23/12.68 cnf('0.14.1.0',plain,
% 12.23/12.68 ( multiply(X2,inverse(multiply(X1,inverse(X1),X3)),X3) = X2 ),
% 12.23/12.68 inference(weigh,[status(thm)],['0.14.0.1']),
% 12.23/12.68 [weight('<109,3,13,[0,0,0,0]>')]).
% 12.23/12.68 cnf('0.14.2.0',plain,
% 12.23/12.68 ( multiply(X1,inverse(multiply(X2,inverse(X2),X3)),X3) = X1 ),
% 12.23/12.68 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 12.23/12.68 [u,rule_10]).
% 12.23/12.68 cnf('0.15.0.0',plain,
% 12.23/12.68 ( inverse(X1) = inverse(multiply(X2,inverse(X2),X1)) ),
% 12.23/12.68 inference(cp,[status(thm)],['0.14.2.0','0.13.2.0',theory(equality)]),
% 12.23/12.68 [pos('L','L')]).
% 12.23/12.68 cnf('0.15.1.0',plain,
% 12.23/12.68 ( inverse(X1) = inverse(multiply(X2,inverse(X2),X1)) ),
% 12.23/12.68 inference(weigh,[status(thm)],['0.15.0.0']),
% 12.23/12.68 [weight('<62,14,13,[1,0,0,0]>')]).
% 12.23/12.68 cnf('0.15.2.0',plain,
% 12.23/12.68 ( inverse(multiply(X1,inverse(X1),X2)) = inverse(X2) ),
% 12.23/12.68 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 12.23/12.68 [x,rule_11]).
% 12.23/12.68 cnf('0.17.0.0',plain,
% 12.23/12.68 ( multiply(X1,inverse(multiply(X2,inverse(X2),X3)),X3) = X1 ),
% 12.23/12.68 inference(interreduction_right,[status(thm)],['0.14.2.0'])).
% 12.23/12.68 cnf('0.17.0.1',plain,
% 12.23/12.68 ( multiply(X1,inverse(X3),X3) = X1 ),
% 12.23/12.68 inference(reduction,[status(thm)],['0.17.0.0','0.15.2.0',theory(equality)]),
% 12.23/12.68 [pos('L.2','L')]).
% 12.23/12.68 cnf('0.17.1.0',plain,
% 12.23/12.68 ( multiply(X1,inverse(X3),X3) = X1 ),
% 12.23/12.68 inference(weigh,[status(thm)],['0.17.0.1']),
% 12.23/12.68 [weight('<41,14,15,[0,0,0,0]>')]).
% 12.23/12.68 cnf('0.17.2.0',plain,
% 12.23/12.68 ( multiply(X1,inverse(X2),X2) = X1 ),
% 12.23/12.68 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 12.23/12.68 [u,rule_13]).
% 12.23/12.68 cnf('0.21.0.0',plain,
% 12.23/12.68 ( multiply(multiply(X1,inverse(X1),X2),inverse(multiply(multiply(X3,inverse(X3),X4),inverse(multiply(X3,inverse(X3),X4)),multiply(X3,inverse(X3),X5))),X5) = X2 ),
% 12.23/12.68 inference(interreduction_right,[status(thm)],['0.5.2.0'])).
% 12.23/12.68 cnf('0.21.0.1',plain,
% 12.23/12.68 ( multiply(multiply(X1,inverse(X1),X2),inverse(multiply(X3,inverse(X3),X5)),X5) = X2 ),
% 12.23/12.68 inference(reduction,[status(thm)],['0.21.0.0','0.15.2.0',theory(equality)]),
% 12.23/12.68 [pos('L.2','L')]).
% 12.23/12.68 cnf('0.21.0.2',plain,
% 12.23/12.68 ( multiply(multiply(X1,inverse(X1),X2),inverse(X5),X5) = X2 ),
% 12.23/12.68 inference(reduction,[status(thm)],['0.21.0.1','0.15.2.0',theory(equality)]),
% 12.23/12.68 [pos('L.2','L')]).
% 12.23/12.68 cnf('0.21.1.0',plain,
% 12.23/12.68 ( multiply(multiply(X1,inverse(X1),X2),inverse(X5),X5) = X2 ),
% 12.23/12.68 inference(weigh,[status(thm)],['0.21.0.2']),
% 12.23/12.68 [weight('<109,5,15,[0,0,0,0]>')]).
% 12.23/12.68 cnf('0.21.1.1',plain,
% 12.23/12.68 ( multiply(X1,inverse(X1),X2) = X2 ),
% 12.23/12.68 inference(reduction,[status(thm)],['0.21.1.0','0.17.2.0',theory(equality)]),
% 12.23/12.68 [pos('L','L')]).
% 12.23/12.68 cnf('0.21.2.0',plain,
% 12.23/12.68 ( multiply(X1,inverse(X1),X2) = X2 ),
% 12.23/12.68 inference(orient,[status(thm)],['0.21.1.1',theory(equality)]),
% 12.23/12.68 [u,rule_17]).
% 12.23/12.68 cnf('0.22.0.0',plain,
% 12.23/12.68 ( X1 = inverse(inverse(X1)) ),
% 12.23/12.68 inference(cp,[status(thm)],['0.21.2.0','0.13.2.0',theory(equality)]),
% 12.23/12.68 [pos('L','L')]).
% 12.23/12.68 cnf('0.22.1.0',plain,
% 12.23/12.68 ( X1 = inverse(inverse(X1)) ),
% 12.23/12.68 inference(weigh,[status(thm)],['0.22.0.0']),
% 12.23/12.68 [weight('<19,21,13,[1,0,0,0]>')]).
% 12.23/12.68 cnf('0.22.2.0',plain,
% 12.23/12.68 ( inverse(inverse(X1)) = X1 ),
% 12.23/12.68 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 12.23/12.68 [x,rule_18]).
% 12.23/12.68 cnf('0.23.0.0',plain,
% 12.23/12.68 ( X1 = multiply(X2,X1,inverse(X2)) ),
% 12.23/12.68 inference(cp,[status(thm)],['0.13.2.0','0.22.2.0',theory(equality)]),
% 12.23/12.68 [pos('L.1','L')]).
% 12.23/12.68 cnf('0.23.1.0',plain,
% 12.23/12.68 ( X1 = multiply(X2,X1,inverse(X2)) ),
% 12.23/12.68 inference(weigh,[status(thm)],['0.23.0.0']),
% 12.23/12.68 [weight('<41,22,13,[0,0,0,1]>')]).
% 12.23/12.68 cnf('0.23.2.0',plain,
% 12.23/12.68 ( multiply(X1,X2,inverse(X1)) = X2 ),
% 12.23/12.68 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 12.23/12.68 [x,rule_19]).
% 12.23/12.68 cnf('0.24.0.0',plain,
% 12.23/12.68 ( X1 = multiply(X1,X2,inverse(X2)) ),
% 12.23/12.68 inference(cp,[status(thm)],['0.17.2.0','0.22.2.0',theory(equality)]),
% 12.23/12.68 [pos('L.2','L')]).
% 12.23/12.68 cnf('0.24.1.0',plain,
% 12.23/12.68 ( X1 = multiply(X1,X2,inverse(X2)) ),
% 12.23/12.68 inference(weigh,[status(thm)],['0.24.0.0']),
% 12.23/12.68 [weight('<41,22,17,[0,0,0,2]>')]).
% 12.23/12.68 cnf('0.24.2.0',plain,
% 12.23/12.68 ( multiply(X1,X2,inverse(X2)) = X1 ),
% 12.23/12.68 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 12.23/12.68 [x,rule_20]).
% 12.23/12.68 cnf('0.25.0.0',plain,
% 12.23/12.68 ( X1 = multiply(inverse(X2),X2,X1) ),
% 12.23/12.68 inference(cp,[status(thm)],['0.21.2.0','0.22.2.0',theory(equality)]),
% 12.23/12.68 [pos('L.2','L')]).
% 12.23/12.68 cnf('0.25.1.0',plain,
% 12.23/12.68 ( X1 = multiply(inverse(X2),X2,X1) ),
% 12.23/12.68 inference(weigh,[status(thm)],['0.25.0.0']),
% 12.23/12.68 [weight('<41,22,21,[0,0,0,2]>')]).
% 12.23/12.68 cnf('0.25.2.0',plain,
% 12.23/12.68 ( multiply(inverse(X1),X1,X2) = X2 ),
% 12.23/12.68 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 12.23/12.68 [x,rule_21]).
% 12.23/12.68 cnf('0.26.0.0',plain,
% 12.23/12.68 ( multiply(X1,multiply(X2,inverse(multiply(X3,X1,X4)),X4),X3) = multiply(X1,inverse(multiply(X3,X1,inverse(X2))),X3) ),
% 12.23/12.68 inference(cp,[status(thm)],['0.4.2.0','0.23.2.0',theory(equality)]),
% 12.23/12.68 [pos('L.2','L')]).
% 12.23/12.68 cnf('0.26.1.0',plain,
% 12.23/12.68 ( multiply(X1,multiply(X2,inverse(multiply(X3,X1,X4)),X4),X3) = multiply(X1,inverse(multiply(X3,X1,inverse(X2))),X3) ),
% 12.23/12.68 inference(weigh,[status(thm)],['0.26.0.0']),
% 12.23/12.68 [weight('<251,23,4,[0,0,0,2]>')]).
% 12.23/12.68 cnf('0.26.2.0',plain,
% 12.23/12.68 ( multiply(X1,multiply(X2,inverse(multiply(X3,X1,X4)),X4),X3) = multiply(X1,inverse(multiply(X3,X1,inverse(X2))),X3) ),
% 12.23/12.68 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 12.23/12.68 [u,rule_22]).
% 12.23/12.68 cnf('0.27.0.0',plain,
% 12.23/12.68 ( multiply(X1,inverse(multiply(X2,X1,inverse(X3))),X2) = multiply(X1,multiply(X3,inverse(X1),inverse(X2)),X2) ),
% 12.23/12.68 inference(cp,[status(thm)],['0.26.2.0','0.23.2.0',theory(equality)]),
% 12.23/12.68 [pos('L.2.2.1','L')]).
% 12.23/12.68 cnf('0.27.1.0',plain,
% 12.23/12.68 ( multiply(X1,inverse(multiply(X2,X1,inverse(X3))),X2) = multiply(X1,multiply(X3,inverse(X1),inverse(X2)),X2) ),
% 12.23/12.68 inference(weigh,[status(thm)],['0.27.0.0']),
% 12.23/12.68 [weight('<189,26,23,[1,0,0,5]>')]).
% 12.23/12.68 cnf('0.27.2.0',plain,
% 12.23/12.68 ( multiply(X1,inverse(multiply(X2,X1,inverse(X3))),X2) = multiply(X1,multiply(X3,inverse(X1),inverse(X2)),X2) ),
% 12.23/12.68 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 12.23/12.68 [u,rule_23]).
% 12.23/12.68 cnf('0.28.0.0',plain,
% 12.23/12.68 ( multiply(X1,multiply(inverse(X2),inverse(X1),inverse(X3)),X3) = multiply(X1,inverse(multiply(X3,X1,X2)),X3) ),
% 12.23/12.68 inference(cp,[status(thm)],['0.27.2.0','0.22.2.0',theory(equality)]),
% 12.23/12.68 [pos('L.2.1.3','L')]).
% 12.23/12.68 cnf('0.28.1.0',plain,
% 12.23/12.68 ( multiply(X1,multiply(inverse(X2),inverse(X1),inverse(X3)),X3) = multiply(X1,inverse(multiply(X3,X1,X2)),X3) ),
% 12.23/12.68 inference(weigh,[status(thm)],['0.28.0.0']),
% 12.23/12.68 [weight('<208,27,22,[1,0,0,6]>')]).
% 12.23/12.68 cnf('0.28.2.0',plain,
% 12.23/12.68 ( multiply(X1,multiply(inverse(X2),inverse(X1),inverse(X3)),X3) = multiply(X1,inverse(multiply(X3,X1,X2)),X3) ),
% 12.23/12.68 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 12.23/12.68 [u,rule_24]).
% 12.23/12.68 cnf('0.29.0.0',plain,
% 12.23/12.68 ( multiply(inverse(X1),inverse(multiply(X2,inverse(X1),X3)),X2) = multiply(inverse(X1),multiply(inverse(X3),X1,inverse(X2)),X2) ),
% 12.23/12.68 inference(cp,[status(thm)],['0.28.2.0','0.22.2.0',theory(equality)]),
% 12.23/12.68 [pos('L.2.2','L')]).
% 12.23/12.68 cnf('0.29.1.0',plain,
% 12.23/12.68 ( multiply(inverse(X1),inverse(multiply(X2,inverse(X1),X3)),X2) = multiply(inverse(X1),multiply(inverse(X3),X1,inverse(X2)),X2) ),
% 12.23/12.68 inference(weigh,[status(thm)],['0.29.0.0']),
% 12.23/12.68 [weight('<230,28,22,[1,0,0,5]>')]).
% 12.23/12.68 cnf('0.29.2.0',plain,
% 12.23/12.68 ( multiply(inverse(X1),inverse(multiply(X2,inverse(X1),X3)),X2) = multiply(inverse(X1),multiply(inverse(X3),X1,inverse(X2)),X2) ),
% 12.23/12.68 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 12.23/12.68 [u,rule_25]).
% 12.23/12.68 cnf('0.31.0.0',plain,
% 12.23/12.68 ( multiply(X1,multiply(X2,inverse(multiply(X3,X1,X4)),X4),X3) = multiply(X1,inverse(multiply(X3,X1,inverse(X2))),X3) ),
% 12.23/12.68 inference(interreduction_right,[status(thm)],['0.26.2.0'])).
% 12.23/12.68 cnf('0.31.0.1',plain,
% 12.23/12.68 ( multiply(X1,multiply(X2,inverse(multiply(X3,X1,X4)),X4),X3) = multiply(X1,multiply(X2,inverse(X1),inverse(X3)),X3) ),
% 12.23/12.68 inference(reduction,[status(thm)],['0.31.0.0','0.27.2.0',theory(equality)]),
% 12.23/12.68 [pos('R','L')]).
% 12.23/12.68 cnf('0.31.1.0',plain,
% 12.23/12.68 ( multiply(X1,multiply(X2,inverse(multiply(X3,X1,X4)),X4),X3) = multiply(X1,multiply(X2,inverse(X1),inverse(X3)),X3) ),
% 12.23/12.68 inference(weigh,[status(thm)],['0.31.0.1']),
% 12.23/12.68 [weight('<251,26,27,[0,0,0,0]>')]).
% 12.23/12.68 cnf('0.31.2.0',plain,
% 12.23/12.68 ( multiply(X1,multiply(X2,inverse(multiply(X3,X1,X4)),X4),X3) = multiply(X1,multiply(X2,inverse(X1),inverse(X3)),X3) ),
% 12.23/12.68 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 12.23/12.68 [u,rule_27]).
% 12.23/12.68 cnf('0.32.0.0',plain,
% 12.23/12.68 ( multiply(X1,multiply(X1,inverse(X1),inverse(inverse(X2))),inverse(X2)) = multiply(X1,multiply(X1,multiply(X2,inverse(X1),inverse(inverse(X2))),inverse(X2)),inverse(X2)) ),
% 12.23/12.68 inference(cp,[status(thm)],['0.31.2.0','0.27.2.0',theory(equality)]),
% 12.23/12.68 [pos('L.2','L')]).
% 12.23/12.68 cnf('0.32.0.1',plain,
% 12.23/12.68 ( multiply(X1,inverse(inverse(X2)),inverse(X2)) = multiply(X1,multiply(X1,multiply(X2,inverse(X1),inverse(inverse(X2))),inverse(X2)),inverse(X2)) ),
% 12.23/12.69 inference(reduction,[status(thm)],['0.32.0.0','0.21.2.0',theory(equality)]),
% 12.23/12.69 [pos('L.2','L')]).
% 12.23/12.69 cnf('0.32.0.2',plain,
% 12.23/12.69 ( multiply(X1,X2,inverse(X2)) = multiply(X1,multiply(X1,multiply(X2,inverse(X1),inverse(inverse(X2))),inverse(X2)),inverse(X2)) ),
% 12.23/12.69 inference(reduction,[status(thm)],['0.32.0.1','0.22.2.0',theory(equality)]),
% 12.23/12.69 [pos('L.2','L')]).
% 12.23/12.69 cnf('0.32.0.3',plain,
% 12.23/12.69 ( X1 = multiply(X1,multiply(X1,multiply(X2,inverse(X1),inverse(inverse(X2))),inverse(X2)),inverse(X2)) ),
% 12.23/12.69 inference(reduction,[status(thm)],['0.32.0.2','0.24.2.0',theory(equality)]),
% 12.23/12.69 [pos('L','L')]).
% 12.23/12.69 cnf('0.32.0.4',plain,
% 12.23/12.69 ( X1 = multiply(X1,multiply(X1,multiply(X2,inverse(X1),X2),inverse(X2)),inverse(X2)) ),
% 12.23/12.69 inference(reduction,[status(thm)],['0.32.0.3','0.22.2.0',theory(equality)]),
% 12.23/12.69 [pos('R.2.2.3','L')]).
% 12.23/12.69 cnf('0.32.1.0',plain,
% 12.23/12.69 ( X1 = multiply(X1,multiply(X1,multiply(X2,inverse(X1),X2),inverse(X2)),inverse(X2)) ),
% 12.23/12.69 inference(weigh,[status(thm)],['0.32.0.4']),
% 12.23/12.69 [weight('<209,31,27,[1,0,0,2]>')]).
% 12.23/12.69 cnf('0.32.2.0',plain,
% 12.23/12.69 ( multiply(X1,multiply(X1,multiply(X2,inverse(X1),X2),inverse(X2)),inverse(X2)) = X1 ),
% 12.23/12.69 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 12.23/12.69 [x,rule_28]).
% 12.23/12.69 cnf('0.33.0.0',plain,
% 12.23/12.69 ( multiply(X1,multiply(multiply(X2,X1,X3),inverse(X1),inverse(X2)),X2) = multiply(X1,X3,X2) ),
% 12.23/12.69 inference(cp,[status(thm)],['0.31.2.0','0.21.2.0',theory(equality)]),
% 12.23/12.69 [pos('L.2','L')]).
% 12.23/12.69 cnf('0.33.1.0',plain,
% 12.23/12.69 ( multiply(X1,multiply(multiply(X2,X1,X3),inverse(X1),inverse(X2)),X2) = multiply(X1,X3,X2) ),
% 12.23/12.69 inference(weigh,[status(thm)],['0.33.0.0']),
% 12.23/12.69 [weight('<220,31,21,[1,0,0,2]>')]).
% 12.23/12.69 cnf('0.33.2.0',plain,
% 12.23/12.69 ( multiply(X1,multiply(multiply(X2,X1,X3),inverse(X1),inverse(X2)),X2) = multiply(X1,X3,X2) ),
% 12.23/12.69 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 12.23/12.69 [u,rule_29]).
% 12.23/12.69 cnf('0.34.0.0',plain,
% 12.23/12.69 ( multiply(multiply(X1,multiply(X2,inverse(X1),X2),inverse(X2)),inverse(X2),X1) = multiply(multiply(X1,multiply(X2,inverse(X1),X2),inverse(X2)),multiply(X1,inverse(multiply(X1,multiply(X2,inverse(X1),X2),inverse(X2))),inverse(X1)),X1) ),
% 12.23/12.69 inference(cp,[status(thm)],['0.33.2.0','0.32.2.0',theory(equality)]),
% 12.23/12.69 [pos('L.2.1','L')]).
% 12.23/12.69 cnf('0.34.0.1',plain,
% 12.23/12.69 ( multiply(multiply(X1,multiply(X2,inverse(X1),X2),inverse(X2)),inverse(X2),X1) = multiply(multiply(X1,multiply(X2,inverse(X1),X2),inverse(X2)),inverse(multiply(X1,multiply(X2,inverse(X1),X2),inverse(X2))),X1) ),
% 12.23/12.69 inference(reduction,[status(thm)],['0.34.0.0','0.23.2.0',theory(equality)]),
% 12.23/12.69 [pos('R.2','L')]).
% 12.23/12.69 cnf('0.34.0.2',plain,
% 12.23/12.69 ( multiply(multiply(X1,multiply(X2,inverse(X1),X2),inverse(X2)),inverse(X2),X1) = X1 ),
% 12.23/12.69 inference(reduction,[status(thm)],['0.34.0.1','0.21.2.0',theory(equality)]),
% 12.23/12.69 [pos('R','L')]).
% 12.23/12.69 cnf('0.34.1.0',plain,
% 12.23/12.69 ( multiply(multiply(X1,multiply(X2,inverse(X1),X2),inverse(X2)),inverse(X2),X1) = X1 ),
% 12.23/12.69 inference(weigh,[status(thm)],['0.34.0.2']),
% 12.23/12.69 [weight('<209,33,32,[1,0,0,3]>')]).
% 12.23/12.69 cnf('0.34.2.0',plain,
% 12.23/12.69 ( multiply(multiply(X1,multiply(X2,inverse(X1),X2),inverse(X2)),inverse(X2),X1) = X1 ),
% 12.23/12.69 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 12.23/12.69 [u,rule_30]).
% 12.23/12.69 cnf('0.35.0.0',plain,
% 12.23/12.69 ( X1 = multiply(multiply(X1,multiply(inverse(X2),inverse(X1),inverse(X2)),X2),inverse(inverse(X2)),X1) ),
% 12.23/12.69 inference(cp,[status(thm)],['0.34.2.0','0.22.2.0',theory(equality)]),
% 12.23/12.69 [pos('L.1.3','L')]).
% 12.23/12.69 cnf('0.35.0.1',plain,
% 12.23/12.69 ( X1 = multiply(multiply(X1,inverse(multiply(X2,X1,X2)),X2),inverse(inverse(X2)),X1) ),
% 12.23/12.69 inference(reduction,[status(thm)],['0.35.0.0','0.28.2.0',theory(equality)]),
% 12.23/12.69 [pos('R.1','L')]).
% 12.23/12.69 cnf('0.35.0.2',plain,
% 12.23/12.69 ( X1 = multiply(multiply(X1,inverse(multiply(X2,X1,X2)),X2),X2,X1) ),
% 12.23/12.69 inference(reduction,[status(thm)],['0.35.0.1','0.22.2.0',theory(equality)]),
% 12.23/12.69 [pos('R.2','L')]).
% 12.23/12.69 cnf('0.35.1.0',plain,
% 12.23/12.69 ( X1 = multiply(multiply(X1,inverse(multiply(X2,X1,X2)),X2),X2,X1) ),
% 12.23/12.69 inference(weigh,[status(thm)],['0.35.0.2']),
% 12.23/12.69 [weight('<155,34,22,[1,0,0,8]>')]).
% 12.23/12.69 cnf('0.35.2.0',plain,
% 12.23/12.69 ( multiply(multiply(X1,inverse(multiply(X2,X1,X2)),X2),X2,X1) = X1 ),
% 12.23/12.69 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 12.23/12.69 [x,rule_31]).
% 12.23/12.69 cnf('0.36.0.0',plain,
% 12.23/12.69 ( multiply(inverse(X1),multiply(inverse(X1),inverse(inverse(X1)),inverse(X2)),X2) = multiply(inverse(X1),multiply(inverse(X1),multiply(inverse(X2),X1,inverse(X2)),X2),X2) ),
% 12.23/12.69 inference(cp,[status(thm)],['0.31.2.0','0.29.2.0',theory(equality)]),
% 12.23/12.69 [pos('L.2','L')]).
% 12.23/12.69 cnf('0.36.0.1',plain,
% 12.23/12.69 ( multiply(inverse(X1),inverse(multiply(X2,inverse(X1),X1)),X2) = multiply(inverse(X1),multiply(inverse(X1),multiply(inverse(X2),X1,inverse(X2)),X2),X2) ),
% 12.23/12.69 inference(reduction,[status(thm)],['0.36.0.0','0.28.2.0',theory(equality)]),
% 12.23/12.69 [pos('L','L')]).
% 12.23/12.69 cnf('0.36.0.2',plain,
% 12.23/12.69 ( multiply(inverse(X1),multiply(inverse(X1),X1,inverse(X2)),X2) = multiply(inverse(X1),multiply(inverse(X1),multiply(inverse(X2),X1,inverse(X2)),X2),X2) ),
% 12.23/12.69 inference(reduction,[status(thm)],['0.36.0.1','0.29.2.0',theory(equality)]),
% 12.23/12.69 [pos('L','L')]).
% 12.23/12.69 cnf('0.36.0.3',plain,
% 12.23/12.69 ( multiply(inverse(X1),inverse(X2),X2) = multiply(inverse(X1),multiply(inverse(X1),multiply(inverse(X2),X1,inverse(X2)),X2),X2) ),
% 12.23/12.69 inference(reduction,[status(thm)],['0.36.0.2','0.25.2.0',theory(equality)]),
% 12.23/12.69 [pos('L.2','L')]).
% 12.23/12.69 cnf('0.36.0.4',plain,
% 12.23/12.69 ( inverse(X1) = multiply(inverse(X1),multiply(inverse(X1),multiply(inverse(X2),X1,inverse(X2)),X2),X2) ),
% 12.23/12.69 inference(reduction,[status(thm)],['0.36.0.3','0.17.2.0',theory(equality)]),
% 12.23/12.69 [pos('L','L')]).
% 12.23/12.69 cnf('0.36.1.0',plain,
% 12.23/12.69 ( inverse(X1) = multiply(inverse(X1),multiply(inverse(X1),multiply(inverse(X2),X1,inverse(X2)),X2),X2) ),
% 12.23/12.69 inference(weigh,[status(thm)],['0.36.0.4']),
% 12.23/12.69 [weight('<254,31,29,[1,0,0,2]>')]).
% 12.23/12.69 cnf('0.36.2.0',plain,
% 12.23/12.69 ( multiply(inverse(X1),multiply(inverse(X1),multiply(inverse(X2),X1,inverse(X2)),X2),X2) = inverse(X1) ),
% 12.23/12.69 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 12.23/12.69 [x,rule_32]).
% 12.23/12.69 cnf('0.43.0.0',plain,
% 12.23/12.69 ( multiply(inverse(X1),multiply(X2,inverse(inverse(X1)),inverse(X3)),X3) = multiply(inverse(X1),multiply(X2,inverse(X3),X1),X3) ),
% 12.23/12.69 inference(cp,[status(thm)],['0.31.2.0','0.17.2.0',theory(equality)]),
% 12.23/12.69 [pos('L.2.2.1','L')]).
% 12.23/12.69 cnf('0.43.0.1',plain,
% 12.23/12.69 ( multiply(inverse(X1),multiply(X2,X1,inverse(X3)),X3) = multiply(inverse(X1),multiply(X2,inverse(X3),X1),X3) ),
% 12.23/12.69 inference(reduction,[status(thm)],['0.43.0.0','0.22.2.0',theory(equality)]),
% 12.23/12.69 [pos('L.2.2','L')]).
% 12.23/12.69 cnf('0.43.1.0',plain,
% 12.23/12.69 ( multiply(inverse(X1),multiply(X2,X1,inverse(X3)),X3) = multiply(inverse(X1),multiply(X2,inverse(X3),X1),X3) ),
% 12.23/12.69 inference(weigh,[status(thm)],['0.43.0.1']),
% 12.23/12.69 [weight('<360,31,17,[1,0,0,5]>')]).
% 12.23/12.69 cnf('0.43.2.0',plain,
% 12.23/12.69 ( multiply(inverse(X1),multiply(X2,X1,inverse(X3)),X3) = multiply(inverse(X1),multiply(X2,inverse(X3),X1),X3) ),
% 12.23/12.69 inference(activate,[status(thm)],['0.43.1.0']),
% 12.23/12.69 [equation_5]).
% 12.23/12.69 cnf('0.44.0.0',plain,
% 12.23/12.69 ( inverse(X1) = multiply(inverse(X1),multiply(inverse(X1),multiply(inverse(X2),inverse(X2),X1),X2),X2) ),
% 12.23/12.69 inference(cp,[status(thm)],['0.36.2.0','0.43.2.0',theory(equality)]),
% 12.23/12.69 [pos('L.2','L')]).
% 12.23/12.69 cnf('0.44.1.0',plain,
% 12.23/12.69 ( inverse(X1) = multiply(inverse(X1),multiply(inverse(X1),multiply(inverse(X2),inverse(X2),X1),X2),X2) ),
% 12.23/12.69 inference(weigh,[status(thm)],['0.44.0.0']),
% 12.23/12.69 [weight('<254,43,36,[0,0,0,3]>')]).
% 12.23/12.69 cnf('0.44.2.0',plain,
% 12.23/12.69 ( multiply(inverse(X1),multiply(inverse(X1),multiply(inverse(X2),inverse(X2),X1),X2),X2) = inverse(X1) ),
% 12.23/12.69 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 12.23/12.69 [x,rule_39]).
% 12.23/12.69 cnf('0.45.0.0',plain,
% 12.23/12.69 ( inverse(inverse(X1)) = multiply(X1,multiply(inverse(inverse(X1)),multiply(inverse(X2),inverse(X2),inverse(X1)),X2),X2) ),
% 12.23/12.69 inference(cp,[status(thm)],['0.44.2.0','0.22.2.0',theory(equality)]),
% 12.23/12.69 [pos('L.1','L')]).
% 12.23/12.69 cnf('0.45.0.1',plain,
% 12.23/12.69 ( X1 = multiply(X1,multiply(inverse(inverse(X1)),multiply(inverse(X2),inverse(X2),inverse(X1)),X2),X2) ),
% 12.23/12.69 inference(reduction,[status(thm)],['0.45.0.0','0.22.2.0',theory(equality)]),
% 12.23/12.69 [pos('L','L')]).
% 12.23/12.69 cnf('0.45.0.2',plain,
% 12.23/12.69 ( X1 = multiply(X1,multiply(X1,multiply(inverse(X2),inverse(X2),inverse(X1)),X2),X2) ),
% 12.23/12.69 inference(reduction,[status(thm)],['0.45.0.1','0.22.2.0',theory(equality)]),
% 12.23/12.69 [pos('R.2.1','L')]).
% 12.23/12.69 cnf('0.45.1.0',plain,
% 12.23/12.69 ( X1 = multiply(X1,multiply(X1,multiply(inverse(X2),inverse(X2),inverse(X1)),X2),X2) ),
% 12.23/12.69 inference(weigh,[status(thm)],['0.45.0.2']),
% 12.23/12.69 [weight('<209,44,22,[1,0,0,1]>')]).
% 12.23/12.69 cnf('0.45.2.0',plain,
% 12.23/12.69 ( multiply(X1,multiply(X1,multiply(inverse(X2),inverse(X2),inverse(X1)),X2),X2) = X1 ),
% 12.23/12.69 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 12.23/12.69 [x,rule_40]).
% 12.23/12.69 cnf('0.53.0.0',plain,
% 12.23/12.69 ( multiply(multiply(X1,inverse(X1),X2),inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3)) = X2 ),
% 12.23/12.69 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 12.23/12.69 cnf('0.53.0.1',plain,
% 12.23/12.69 ( multiply(X2,inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3)) = X2 ),
% 12.23/12.69 inference(reduction,[status(thm)],['0.53.0.0','0.21.2.0',theory(equality)]),
% 12.23/12.69 [pos('L.1','L')]).
% 12.23/12.69 cnf('0.53.1.0',plain,
% 12.23/12.69 ( multiply(X2,inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3)) = X2 ),
% 12.23/12.69 inference(weigh,[status(thm)],['0.53.0.1']),
% 12.23/12.69 [weight('<?,1,21,[0,0,0,0]>')]).
% 12.23/12.69 cnf('0.53.2.0',plain,
% 12.23/12.69 ( multiply(X1,inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),multiply(X3,multiply(X6,X5,X4),X2)) = X1 ),
% 12.23/12.69 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 12.23/12.69 [u,rule_48]).
% 12.23/12.69 cnf('0.54.0.0',plain,
% 12.23/12.69 ( X1 = multiply(X1,inverse(multiply(multiply(X2,inverse(X2),X3),X4,multiply(X2,inverse(X2),X5))),multiply(X5,X4,X3)) ),
% 12.23/12.69 inference(cp,[status(thm)],['0.53.2.0','0.13.2.0',theory(equality)]),
% 12.23/12.69 [pos('L.3','L')]).
% 12.23/12.69 cnf('0.54.0.1',plain,
% 12.23/12.69 ( X1 = multiply(X1,inverse(multiply(X3,X4,multiply(X2,inverse(X2),X5))),multiply(X5,X4,X3)) ),
% 12.23/12.69 inference(reduction,[status(thm)],['0.54.0.0','0.21.2.0',theory(equality)]),
% 12.23/12.69 [pos('R.2.1.1','L')]).
% 12.23/12.69 cnf('0.54.0.2',plain,
% 12.23/12.69 ( X1 = multiply(X1,inverse(multiply(X3,X4,X5)),multiply(X5,X4,X3)) ),
% 12.23/12.69 inference(reduction,[status(thm)],['0.54.0.1','0.21.2.0',theory(equality)]),
% 12.23/12.69 [pos('R.2.1.3','L')]).
% 12.23/12.69 cnf('0.54.1.0',plain,
% 12.23/12.69 ( X1 = multiply(X1,inverse(multiply(X3,X4,X5)),multiply(X5,X4,X3)) ),
% 12.23/12.69 inference(weigh,[status(thm)],['0.54.0.2']),
% 12.23/12.69 [weight('<155,53,13,[1,0,0,13]>')]).
% 12.23/12.69 cnf('0.54.2.0',plain,
% 12.23/12.69 ( multiply(X1,inverse(multiply(X2,X3,X4)),multiply(X4,X3,X2)) = X1 ),
% 12.23/12.69 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 12.23/12.69 [x,rule_49]).
% 12.23/12.69 cnf('0.55.0.0',plain,
% 12.23/12.69 ( multiply(X1,X2,X3) = multiply(X3,X2,X1) ),
% 12.23/12.69 inference(cp,[status(thm)],['0.54.2.0','0.21.2.0',theory(equality)]),
% 12.23/12.69 [pos('L','L')]).
% 12.23/12.69 cnf('0.55.1.0',plain,
% 12.23/12.69 ( multiply(X1,X2,X3) = multiply(X3,X2,X1) ),
% 12.23/12.69 inference(weigh,[status(thm)],['0.55.0.0']),
% 12.23/12.69 [weight('<80,54,21,[1,0,0,0]>')]).
% 12.23/12.69 cnf('0.55.2.0',plain,
% 12.23/12.69 ( multiply(X1,X2,X3) = multiply(X3,X2,X1) ),
% 12.23/12.69 inference(activate,[status(thm)],['0.55.1.0']),
% 12.23/12.69 [equation_6]).
% 12.23/12.69 cnf('0.56.0.0',plain,
% 12.23/12.69 ( multiply(multiply(X1,inverse(multiply(X2,X1,X2)),X2),X2,X1) = X1 ),
% 12.23/12.69 inference(interreduction_right,[status(thm)],['0.35.2.0'])).
% 12.23/12.69 cnf('0.56.1.0',plain,
% 12.23/12.69 ( multiply(multiply(X1,inverse(multiply(X2,X1,X2)),X2),X2,X1) = X1 ),
% 12.23/12.69 inference(weigh,[status(thm)],['0.56.0.0']),
% 12.23/12.69 [weight('<155,35,55,[0,0,0,0]>')]).
% 12.23/12.69 cnf('0.56.1.1',plain,
% 12.23/12.69 ( multiply(X1,X2,multiply(X1,inverse(multiply(X2,X1,X2)),X2)) = X1 ),
% 12.23/12.69 inference(reduction,[status(thm)],['0.56.1.0','0.55.2.0',theory(equality)]),
% 12.23/12.69 [pos('L','L')]).
% 12.23/12.69 cnf('0.56.2.0',plain,
% 12.23/12.69 ( multiply(X1,X2,multiply(X1,inverse(multiply(X2,X1,X2)),X2)) = X1 ),
% 12.23/12.69 inference(orient,[status(thm)],['0.56.1.1',theory(equality)]),
% 12.23/12.69 [u,rule_50]).
% 12.23/12.69 cnf('0.57.0.0',plain,
% 12.23/12.69 ( X1 = multiply(X1,multiply(X2,multiply(inverse(X2),inverse(X2),inverse(X1)),X1),X2) ),
% 12.23/12.69 inference(cp,[status(thm)],['0.45.2.0','0.55.2.0',theory(equality)]),
% 12.23/12.69 [pos('L.2','L')]).
% 12.23/12.69 cnf('0.57.0.1',plain,
% 12.23/12.69 ( X1 = multiply(X1,multiply(X2,inverse(multiply(X1,X2,X2)),X1),X2) ),
% 12.23/12.69 inference(reduction,[status(thm)],['0.57.0.0','0.28.2.0',theory(equality)]),
% 12.23/12.69 [pos('R.2','L')]).
% 12.23/12.69 cnf('0.57.1.0',plain,
% 12.23/12.69 ( X1 = multiply(X1,multiply(X2,inverse(multiply(X1,X2,X2)),X1),X2) ),
% 12.23/12.69 inference(weigh,[status(thm)],['0.57.0.1']),
% 12.23/12.69 [weight('<155,55,45,[0,0,0,2]>')]).
% 12.23/12.69 cnf('0.57.2.0',plain,
% 12.23/12.69 ( multiply(X1,multiply(X2,inverse(multiply(X1,X2,X2)),X1),X2) = X1 ),
% 12.23/12.69 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 12.23/12.69 [x,rule_51]).
% 12.23/12.69 cnf('0.60.0.0',plain,
% 12.23/12.69 ( X1 = multiply(X2,multiply(X2,inverse(multiply(X1,X2,X2)),X1),X1) ),
% 12.23/12.69 inference(cp,[status(thm)],['0.57.2.0','0.55.2.0',theory(equality)]),
% 12.23/12.69 [pos('L','L')]).
% 12.23/12.69 cnf('0.60.1.0',plain,
% 12.23/12.69 ( X1 = multiply(X2,multiply(X2,inverse(multiply(X1,X2,X2)),X1),X1) ),
% 12.23/12.69 inference(weigh,[status(thm)],['0.60.0.0']),
% 12.23/12.69 [weight('<155,57,55,[1,0,0,0]>')]).
% 12.23/12.69 cnf('0.60.2.0',plain,
% 12.23/12.69 ( multiply(X1,multiply(X1,inverse(multiply(X2,X1,X1)),X2),X2) = X2 ),
% 12.23/12.69 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 12.23/12.69 [x,rule_54]).
% 12.23/12.69 cnf('0.61.0.0',plain,
% 12.23/12.69 ( X1 = multiply(X1,inverse(multiply(multiply(X2,X3,X2),inverse(multiply(X2,X3,X3)),multiply(X2,X3,X3))),X2) ),
% 12.23/12.69 inference(cp,[status(thm)],['0.53.2.0','0.60.2.0',theory(equality)]),
% 12.23/12.69 [pos('L.3','L')]).
% 12.23/12.69 cnf('0.61.0.1',plain,
% 12.23/12.69 ( X1 = multiply(X1,inverse(multiply(X2,X3,X2)),X2) ),
% 12.23/12.69 inference(reduction,[status(thm)],['0.61.0.0','0.17.2.0',theory(equality)]),
% 12.23/12.69 [pos('R.2.1','L')]).
% 12.23/12.69 cnf('0.61.1.0',plain,
% 12.23/12.69 ( X1 = multiply(X1,inverse(multiply(X2,X3,X2)),X2) ),
% 12.23/12.69 inference(weigh,[status(thm)],['0.61.0.1']),
% 12.23/12.69 [weight('<89,60,53,[0,0,0,13]>')]).
% 12.23/12.69 cnf('0.61.2.0',plain,
% 12.23/12.69 ( multiply(X1,inverse(multiply(X2,X3,X2)),X2) = X1 ),
% 12.23/12.69 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 12.23/12.69 [x,rule_55]).
% 12.23/12.69 cnf('0.62.0.0',plain,
% 12.23/12.69 ( multiply(X1,X2,multiply(X1,inverse(multiply(X2,X1,X2)),X2)) = X1 ),
% 12.23/12.69 inference(interreduction_right,[status(thm)],['0.56.2.0'])).
% 12.23/12.69 cnf('0.62.0.1',plain,
% 12.23/12.69 ( multiply(X1,X2,X1) = X1 ),
% 12.23/12.69 inference(reduction,[status(thm)],['0.62.0.0','0.61.2.0',theory(equality)]),
% 12.23/12.69 [pos('L.3','L')]).
% 12.23/12.69 cnf('0.62.1.0',plain,
% 12.23/12.69 ( multiply(X1,X2,X1) = X1 ),
% 12.23/12.69 inference(weigh,[status(thm)],['0.62.0.1']),
% 12.23/12.69 [weight('<29,56,61,[0,0,0,0]>')]).
% 12.23/12.69 cnf('0.62.2.0',plain,
% 12.23/12.69 ( multiply(X1,X2,X1) = X1 ),
% 12.23/12.69 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 12.23/12.69 [u,rule_56]).
% 12.23/12.69 cnf('0.82.0.0',plain,
% 12.23/12.69 ( X1 = multiply(X1,inverse(multiply(X2,X3,X4)),multiply(X3,multiply(X4,X5,X4),X2)) ),
% 12.23/12.69 inference(cp,[status(thm)],['0.53.2.0','0.62.2.0',theory(equality)]),
% 12.23/12.69 [pos('L.2.1','L')]).
% 12.23/12.69 cnf('0.82.0.1',plain,
% 12.23/12.69 ( X1 = multiply(X1,inverse(multiply(X2,X3,X4)),multiply(X3,X4,X2)) ),
% 12.23/12.69 inference(reduction,[status(thm)],['0.82.0.0','0.62.2.0',theory(equality)]),
% 12.23/12.69 [pos('R.3.2','L')]).
% 12.23/12.69 cnf('0.82.1.0',plain,
% 12.23/12.69 ( X1 = multiply(X1,inverse(multiply(X2,X3,X4)),multiply(X3,X4,X2)) ),
% 12.23/12.69 inference(weigh,[status(thm)],['0.82.0.1']),
% 12.23/12.69 [weight('<155,62,53,[0,0,0,3]>')]).
% 12.23/12.69 cnf('0.82.2.0',plain,
% 12.23/12.69 ( multiply(X1,inverse(multiply(X2,X3,X4)),multiply(X3,X4,X2)) = X1 ),
% 12.23/12.69 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 12.23/12.69 [x,rule_76]).
% 12.23/12.69 cnf('0.83.0.0',plain,
% 12.23/12.69 ( multiply(X1,X2,X3) = multiply(X2,X3,X1) ),
% 12.23/12.69 inference(cp,[status(thm)],['0.82.2.0','0.21.2.0',theory(equality)]),
% 12.23/12.69 [pos('L','L')]).
% 12.23/12.69 cnf('0.83.1.0',plain,
% 12.23/12.69 ( multiply(X1,X2,X3) = multiply(X2,X3,X1) ),
% 12.23/12.69 inference(weigh,[status(thm)],['0.83.0.0']),
% 12.23/12.69 [weight('<80,82,21,[1,0,0,0]>')]).
% 12.23/12.69 cnf('0.83.2.0',plain,
% 12.23/12.69 ( multiply(X1,X2,X3) = multiply(X2,X3,X1) ),
% 12.23/12.69 inference(activate,[status(thm)],['0.83.1.0']),
% 12.23/12.69 [equation_7]).
% 12.23/12.69 cnf('0.85.0.0',plain,
% 12.23/12.69 ( multiply(X1,X2,X3) = multiply(X1,X3,X2) ),
% 12.23/12.69 inference(cp,[status(thm)],['0.83.2.0','0.55.2.0',theory(equality)]),
% 12.23/12.69 [pos('R','L')]).
% 12.23/12.69 cnf('0.85.1.0',plain,
% 12.23/12.69 ( multiply(X1,X2,X3) = multiply(X1,X3,X2) ),
% 12.23/12.69 inference(weigh,[status(thm)],['0.85.0.0']),
% 12.23/12.69 [weight('<80,83,55,[1,1,0,0]>')]).
% 12.23/12.69 cnf('0.85.2.0',plain,
% 12.23/12.69 ( multiply(X1,X2,X3) = multiply(X1,X3,X2) ),
% 12.23/12.69 inference(activate,[status(thm)],['0.85.1.0']),
% 12.23/12.69 [equation_9]).
% 12.23/12.69 cnf('0.308.0.0',plain,
% 12.23/12.69 ( multiply(X1,inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),multiply(X3,multiply(X6,X5,X4),X2)) = X1 ),
% 12.23/12.69 inference(interreduction_right,[status(thm)],['0.53.2.0'])).
% 12.23/12.69 cnf('0.308.1.0',plain,
% 12.23/12.69 ( multiply(X1,inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),multiply(X3,multiply(X6,X5,X4),X2)) = X1 ),
% 12.23/12.69 inference(weigh,[status(thm)],['0.308.0.0']),
% 12.23/12.69 [weight('<?,53,85,[0,0,0,0]>')]).
% 12.23/12.69 cnf('0.308.1.1',plain,
% 12.23/12.69 ( multiply(X1,multiply(X3,multiply(X6,X5,X4),X2),inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6)))) = X1 ),
% 12.23/12.69 inference(reduction,[status(thm)],['0.308.1.0','0.85.2.0',theory(equality)]),
% 12.23/12.69 [pos('L','L')]).
% 12.23/12.69 cnf('0.308.2.0',plain,
% 12.23/12.69 ( multiply(X1,multiply(X2,multiply(X3,X4,X5),X6),inverse(multiply(multiply(X6,X2,X5),X4,multiply(X6,X2,X3)))) = X1 ),
% 12.23/12.69 inference(orient,[status(thm)],['0.308.1.1',theory(equality)]),
% 12.23/12.69 [u,rule_299]).
% 12.23/12.69 cnf('0.1686.0.0',plain,
% 12.23/12.69 ( multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5)) = multiply(X2,multiply(X5,X4,X3),X1) ),
% 12.23/12.69 inference(cp,[status(thm)],['0.308.2.0','0.23.2.0',theory(equality)]),
% 12.23/12.69 [pos('L','L')]).
% 12.23/12.69 cnf('0.1686.1.0',plain,
% 12.23/12.69 ( multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5)) = multiply(X2,multiply(X5,X4,X3),X1) ),
% 12.23/12.69 inference(weigh,[status(thm)],['0.1686.0.0']),
% 12.23/12.69 [weight('<197,308,23,[1,0,0,0]>')]).
% 12.23/12.69 cnf('0.1686.2.0',plain,
% 12.23/12.69 ( multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5)) = multiply(X2,multiply(X5,X4,X3),X1) ),
% 12.23/12.69 inference(orient,[status(thm)],['0.1686.1.0',theory(equality)]),
% 12.23/12.69 [u,rule_1657]).
% 12.23/12.69 cnf('1.0.0.0',conjecture,
% 12.23/12.69 ( multiply(multiply(d,e,a),b,multiply(d,e,c)) = multiply(d,e,multiply(a,b,c)) ),
% 12.23/12.69 file('/tmp/WALDMEISTER_31209_n024',conjecture_1)).
% 12.23/12.69 cnf('1.0.0.1',plain,
% 12.23/12.69 ( multiply(multiply(d,e,a),b,multiply(d,e,c)) = multiply(d,e,multiply(c,b,a)) ),
% 12.23/12.69 inference(reduction,[status(thm)],['1.0.0.0','0.55.2.0',theory(equality)]),
% 12.23/12.69 [pos('R.3','L')]).
% 12.23/12.69 cnf('1.0.0.2',plain,
% 12.23/12.69 ( multiply(multiply(d,e,a),b,multiply(d,e,c)) = multiply(e,multiply(c,b,a),d) ),
% 12.23/12.69 inference(reduction,[status(thm)],['1.0.0.1','0.83.2.0',theory(equality)]),
% 12.23/12.69 [pos('R','L')]).
% 12.23/12.69 cnf('1.0.0.3',plain,
% 12.23/12.69 ( multiply(e,multiply(c,b,a),d) = multiply(e,multiply(c,b,a),d) ),
% 12.23/12.69 inference(reduction,[status(thm)],['1.0.0.2','0.1686.2.0',theory(equality)]),
% 12.23/12.69 [pos('L','L')]).
% 12.23/12.69 cnf('1.0.0.4',plain,
% 12.23/12.69 ( $true ),
% 12.23/12.69 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 12.23/12.69 [conjecture_1]).
% 12.23/12.69
% 12.23/12.69 Proved Goals:
% 12.23/12.69 No. 1: multiply(multiply(d,e,a),b,multiply(d,e,c)) ?= multiply(d,e,multiply(a,b,c)) joined, current: multiply(e,multiply(c,b,a),d) = multiply(e,multiply(c,b,a),d)
% 12.23/12.69 1 goal was specified, which was proved.
% 12.23/12.69 % SZS output end CNFRefutation
% 12.23/12.69 #END OF PROOF
% 12.23/12.69
% 12.23/12.69 Problem WALDMEISTER_31209_n024
% 12.23/12.69 CPs.gen 3614927
% 12.23/12.69 CPs.reexp 0
% 12.23/12.69 Select 334903
% 12.23/12.69 R 1657
% 12.23/12.69 E 29
% 12.23/12.69 vsize 9.1M
% 12.23/12.69 rss 4.7M
% 12.23/12.69 process.time 11.727s
% 12.23/12.69 wallclock.time 11.741s
% 12.23/12.69 status S
% 12.23/12.69
% 12.23/12.69
% 12.23/12.69 Waldmeister states: Goal proved.
% 12.23/12.69 % SZS status Unsatisfiable
%------------------------------------------------------------------------------