TSTP Solution File: GRP438-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP438-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n020.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 0.61s 1.01s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP438-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 21:13:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.57/0.98 ********************************************************************************
% 0.57/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.98 * |/ | \/ | *
% 0.57/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.98 * A. Jaeger and B. Loechner | | *
% 0.57/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.98 ********************************************************************************
% 0.57/0.98
% 0.57/0.98
% 0.57/0.98 Goals:
% 0.57/0.98 ------
% 0.57/0.98
% 0.57/0.98 ( 1) multiply(multiply(a3,b3),c3) ?=? multiply(a3,multiply(b3,c3))
% 0.57/0.98
% 0.57/0.98 Detected structure: Orkus
% 0.57/0.98 ********************************************************************************
% 0.57/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.98 ********************************************************************************
% 0.57/0.98
% 0.61/1.01 joined goal: 1 multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) to multiply(a3,multiply(b3,c3))
% 0.61/1.01 goal joined
% 0.61/1.01 % SZS status Unsatisfiable
% 0.61/1.01 #START OF PROOF
% 0.61/1.01 % SZS output start CNFRefutation
% 0.61/1.01 cnf('0.1.0.0',axiom,
% 0.61/1.01 ( X1 = multiply(X2,inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X1,X3))),X2))))) ),
% 0.61/1.01 file('/tmp/WALDMEISTER_6484_n020')).
% 0.61/1.01 cnf('0.1.1.0',plain,
% 0.61/1.01 ( X1 = multiply(X2,inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X1,X3))),X2))))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.61/1.01 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.61/1.01 cnf('0.1.2.0',plain,
% 0.61/1.01 ( multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X4,X2))),X1))))) = X4 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_1]).
% 0.61/1.01 cnf('0.3.0.0',plain,
% 0.61/1.01 ( X1 = multiply(X2,inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X4,X1))),inverse(X5))),multiply(X5,multiply(X4,X2))))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.1.2.2.1','L')]).
% 0.61/1.01 cnf('0.3.1.0',plain,
% 0.61/1.01 ( X1 = multiply(X2,inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X4,X1))),inverse(X5))),multiply(X5,multiply(X4,X2))))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.61/1.01 [weight('<505,1,1,[0,0,0,8]>')]).
% 0.61/1.01 cnf('0.3.2.0',plain,
% 0.61/1.01 ( multiply(X1,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X4))),inverse(X5))),multiply(X5,multiply(X3,X1))))) = X4 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_3]).
% 0.61/1.01 cnf('0.4.0.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),inverse(X4))) = multiply(X5,inverse(multiply(multiply(X4,multiply(X2,inverse(X6))),multiply(X6,multiply(X3,X5))))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.1.2.0','0.3.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.1.2.2.1','L')]).
% 0.61/1.01 cnf('0.4.1.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),inverse(X4))) = multiply(X5,inverse(multiply(multiply(X4,multiply(X2,inverse(X6))),multiply(X6,multiply(X3,X5))))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.61/1.01 [weight('<783,3,1,[0,0,0,8]>')]).
% 0.61/1.01 cnf('0.4.2.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),inverse(X4))) = multiply(X5,inverse(multiply(multiply(X4,multiply(X2,inverse(X6))),multiply(X6,multiply(X3,X5))))) ),
% 0.61/1.01 inference(activate,[status(thm)],['0.4.1.0']),
% 0.61/1.01 [equation_1]).
% 0.61/1.01 cnf('0.4.2.1',plain,
% 0.61/1.01 ( multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),inverse(X4))) = multiply(c3,inverse(multiply(multiply(X4,multiply(X2,inverse(c3))),multiply(c3,multiply(X3,c3))))) ),
% 0.61/1.01 inference(instr,[status(thm)],['0.4.2.0',theory(equality)])).
% 0.61/1.01 cnf('0.4.2.2',plain,
% 0.61/1.01 ( multiply(c3,multiply(multiply(inverse(c3),inverse(multiply(X3,X5))),inverse(X2))) = multiply(X1,inverse(multiply(multiply(X2,multiply(X3,inverse(X4))),multiply(X4,multiply(X5,X1))))) ),
% 0.61/1.01 inference(instl,[status(thm)],['0.4.2.0',theory(equality)])).
% 0.61/1.01 cnf('0.6.0.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(inverse(X3),inverse(multiply(X4,multiply(X5,multiply(X2,inverse(X3))))))))),inverse(X5))) = X4 ),
% 0.61/1.01 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('0.6.1.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(inverse(X3),inverse(multiply(X4,multiply(X5,multiply(X2,inverse(X3))))))))),inverse(X5))) = X4 ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.61/1.01 [weight('<599,4,1,[1,1,0,0]>')]).
% 0.61/1.01 cnf('0.6.2.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(inverse(X3),inverse(multiply(X4,multiply(X5,multiply(X2,inverse(X3))))))))),inverse(X5))) = X4 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_5]).
% 0.61/1.01 cnf('0.7.0.0',plain,
% 0.61/1.01 ( X1 = multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,multiply(X2,multiply(X1,inverse(X3)))))),X4))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.1.2.0','0.6.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.1.2','L')]).
% 0.61/1.01 cnf('0.7.1.0',plain,
% 0.61/1.01 ( X1 = multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,multiply(X2,multiply(X1,inverse(X3)))))),X4))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.61/1.01 [weight('<379,6,1,[0,0,0,5]>')]).
% 0.61/1.01 cnf('0.7.2.0',plain,
% 0.61/1.01 ( multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),inverse(multiply(X3,multiply(X1,multiply(X4,inverse(X2)))))),X3))) = X4 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_6]).
% 0.61/1.01 cnf('0.8.0.0',plain,
% 0.61/1.01 ( X1 = multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,X1))),X4))),inverse(X3))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.1.2.1.2','L')]).
% 0.61/1.01 cnf('0.8.1.0',plain,
% 0.61/1.01 ( X1 = multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,X1))),X4))),inverse(X3))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.61/1.01 [weight('<379,6,1,[1,0,0,9]>')]).
% 0.61/1.01 cnf('0.8.2.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),inverse(multiply(X3,X4))),X3))),inverse(X2))) = X4 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_7]).
% 0.61/1.01 cnf('0.9.0.0',plain,
% 0.61/1.01 ( multiply(inverse(X1),inverse(multiply(X2,multiply(X3,multiply(X4,inverse(X1)))))) = multiply(X5,inverse(multiply(X2,multiply(X3,multiply(X4,X5))))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.1.2.0','0.7.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.1.2.2.1','L')]).
% 0.61/1.01 cnf('0.9.1.0',plain,
% 0.61/1.01 ( multiply(inverse(X1),inverse(multiply(X2,multiply(X3,multiply(X4,inverse(X1)))))) = multiply(X5,inverse(multiply(X2,multiply(X3,multiply(X4,X5))))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.61/1.01 [weight('<528,7,1,[0,0,0,8]>')]).
% 0.61/1.01 cnf('0.9.2.0',plain,
% 0.61/1.01 ( multiply(inverse(X1),inverse(multiply(X2,multiply(X3,multiply(X4,inverse(X1)))))) = multiply(X5,inverse(multiply(X2,multiply(X3,multiply(X4,X5))))) ),
% 0.61/1.01 inference(activate,[status(thm)],['0.9.1.0']),
% 0.61/1.01 [equation_2]).
% 0.61/1.01 cnf('0.9.2.1',plain,
% 0.61/1.01 ( multiply(inverse(X1),inverse(multiply(X2,multiply(X3,multiply(X4,inverse(X1)))))) = multiply(c3,inverse(multiply(X2,multiply(X3,multiply(X4,c3))))) ),
% 0.61/1.01 inference(instr,[status(thm)],['0.9.2.0',theory(equality)])).
% 0.61/1.01 cnf('0.9.2.2',plain,
% 0.61/1.01 ( multiply(inverse(c3),inverse(multiply(X2,multiply(X3,multiply(X4,inverse(c3)))))) = multiply(X1,inverse(multiply(X2,multiply(X3,multiply(X4,X1))))) ),
% 0.61/1.01 inference(instl,[status(thm)],['0.9.2.0',theory(equality)])).
% 0.61/1.01 cnf('0.10.0.0',plain,
% 0.61/1.01 ( multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),inverse(multiply(X3,multiply(X1,multiply(X4,inverse(X2)))))),X3))) = X4 ),
% 0.61/1.01 inference(interreduction_right,[status(thm)],['0.7.2.0'])).
% 0.61/1.01 cnf('0.10.1.0',plain,
% 0.61/1.01 ( multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),inverse(multiply(X3,multiply(X1,multiply(X4,inverse(X2)))))),X3))) = X4 ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.61/1.01 [weight('<379,7,9,[0,0,0,0]>')]).
% 0.61/1.01 cnf('0.10.1.1',plain,
% 0.61/1.01 ( multiply(inverse(X1),inverse(multiply(multiply(c3,inverse(multiply(X3,multiply(X1,multiply(X4,c3))))),X3))) = X4 ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.10.1.0','0.9.2.1',theory(equality)]),
% 0.61/1.01 [pos('L.2.1.1','L')]).
% 0.61/1.01 cnf('0.10.2.0',plain,
% 0.61/1.01 ( multiply(inverse(X1),inverse(multiply(multiply(c3,inverse(multiply(X2,multiply(X1,multiply(X3,c3))))),X2))) = X3 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.10.1.1',theory(equality)]),
% 0.61/1.01 [u,rule_8]).
% 0.61/1.01 cnf('0.11.0.0',plain,
% 0.61/1.01 ( multiply(X1,inverse(multiply(X2,multiply(X3,multiply(X4,X1))))) = multiply(X5,inverse(multiply(X2,multiply(X3,multiply(X4,X5))))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.9.2.0','0.9.2.0',theory(equality)]),
% 0.61/1.01 [pos('L','L')]).
% 0.61/1.01 cnf('0.11.1.0',plain,
% 0.61/1.01 ( multiply(X1,inverse(multiply(X2,multiply(X3,multiply(X4,X1))))) = multiply(X5,inverse(multiply(X2,multiply(X3,multiply(X4,X5))))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.61/1.01 [weight('<440,9,9,[1,0,0,0]>')]).
% 0.61/1.01 cnf('0.11.2.0',plain,
% 0.61/1.01 ( multiply(X1,inverse(multiply(X2,multiply(X3,multiply(X4,X1))))) = multiply(X5,inverse(multiply(X2,multiply(X3,multiply(X4,X5))))) ),
% 0.61/1.01 inference(activate,[status(thm)],['0.11.1.0']),
% 0.61/1.01 [equation_3]).
% 0.61/1.01 cnf('0.11.2.1',plain,
% 0.61/1.01 ( multiply(X1,inverse(multiply(X2,multiply(X3,multiply(X4,X1))))) = multiply(c3,inverse(multiply(X2,multiply(X3,multiply(X4,c3))))) ),
% 0.61/1.01 inference(instr,[status(thm)],['0.11.2.0',theory(equality)])).
% 0.61/1.01 cnf('0.11.2.2',plain,
% 0.61/1.01 ( multiply(c3,inverse(multiply(X2,multiply(X3,multiply(X4,c3))))) = multiply(X1,inverse(multiply(X2,multiply(X3,multiply(X4,X1))))) ),
% 0.61/1.01 inference(instl,[status(thm)],['0.11.2.0',theory(equality)])).
% 0.61/1.01 cnf('0.12.0.0',plain,
% 0.61/1.01 ( X1 = multiply(inverse(X2),inverse(multiply(multiply(X3,inverse(multiply(X4,multiply(X2,multiply(X1,X3))))),X4))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.10.2.0','0.11.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.1.1','L')]).
% 0.61/1.01 cnf('0.12.1.0',plain,
% 0.61/1.01 ( X1 = multiply(inverse(X2),inverse(multiply(multiply(X3,inverse(multiply(X4,multiply(X2,multiply(X1,X3))))),X4))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.61/1.01 [weight('<305,11,10,[0,0,0,5]>')]).
% 0.61/1.01 cnf('0.12.2.0',plain,
% 0.61/1.01 ( multiply(inverse(X1),inverse(multiply(multiply(X2,inverse(multiply(X3,multiply(X1,multiply(X4,X2))))),X3))) = X4 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_9]).
% 0.61/1.01 cnf('0.15.0.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),inverse(X4))) = multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X2,X3))),inverse(X4))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.4.2.0','0.4.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','R')]).
% 0.61/1.01 cnf('0.15.1.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),inverse(X4))) = multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X2,X3))),inverse(X4))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.61/1.01 [weight('<624,4,4,[1,1,1,0]>')]).
% 0.61/1.01 cnf('0.15.2.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),inverse(X4))) = multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X2,X3))),inverse(X4))) ),
% 0.61/1.01 inference(activate,[status(thm)],['0.15.1.0']),
% 0.61/1.01 [equation_4]).
% 0.61/1.01 cnf('0.15.2.1',plain,
% 0.61/1.01 ( multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),inverse(X4))) = multiply(c3,multiply(multiply(inverse(c3),inverse(multiply(X2,X3))),inverse(X4))) ),
% 0.61/1.01 inference(instr,[status(thm)],['0.15.2.0',theory(equality)])).
% 0.61/1.01 cnf('0.15.2.2',plain,
% 0.61/1.01 ( multiply(c3,multiply(multiply(inverse(c3),inverse(multiply(X2,X3))),inverse(X4))) = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),inverse(X4))) ),
% 0.61/1.01 inference(instl,[status(thm)],['0.15.2.0',theory(equality)])).
% 0.61/1.01 cnf('0.16.0.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X5,X3))),X2))))))),inverse(X6))) = multiply(X7,multiply(multiply(inverse(X7),inverse(X5)),inverse(X6))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.15.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.1.2.1','L')]).
% 0.61/1.01 cnf('0.16.0.1',plain,
% 0.61/1.01 ( multiply(X1,multiply(multiply(inverse(X1),inverse(X5)),inverse(X6))) = multiply(X7,multiply(multiply(inverse(X7),inverse(X5)),inverse(X6))) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.16.0.0','0.1.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.1.2.1','L')]).
% 0.61/1.01 cnf('0.16.1.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(multiply(inverse(X1),inverse(X5)),inverse(X6))) = multiply(X7,multiply(multiply(inverse(X7),inverse(X5)),inverse(X6))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.16.0.1']),
% 0.61/1.01 [weight('<440,15,1,[1,0,0,7]>')]).
% 0.61/1.01 cnf('0.16.2.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(multiply(inverse(X1),inverse(X2)),inverse(X3))) = multiply(X4,multiply(multiply(inverse(X4),inverse(X2)),inverse(X3))) ),
% 0.61/1.01 inference(activate,[status(thm)],['0.16.1.0']),
% 0.61/1.01 [equation_5]).
% 0.61/1.01 cnf('0.16.2.1',plain,
% 0.61/1.01 ( multiply(X1,multiply(multiply(inverse(X1),inverse(X2)),inverse(X3))) = multiply(c3,multiply(multiply(inverse(c3),inverse(X2)),inverse(X3))) ),
% 0.61/1.01 inference(instr,[status(thm)],['0.16.2.0',theory(equality)])).
% 0.61/1.01 cnf('0.16.2.2',plain,
% 0.61/1.01 ( multiply(c3,multiply(multiply(inverse(c3),inverse(X2)),inverse(X3))) = multiply(X1,multiply(multiply(inverse(X1),inverse(X2)),inverse(X3))) ),
% 0.61/1.01 inference(instl,[status(thm)],['0.16.2.0',theory(equality)])).
% 0.61/1.01 cnf('0.17.0.0',plain,
% 0.61/1.01 ( multiply(inverse(X1),inverse(X2)) = multiply(inverse(X1),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,multiply(X5,multiply(multiply(inverse(X5),inverse(X2)),inverse(X3)))))),X4))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.12.2.0','0.16.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.1.1.2.1.2','L')]).
% 0.61/1.01 cnf('0.17.1.0',plain,
% 0.61/1.01 ( multiply(inverse(X1),inverse(X2)) = multiply(inverse(X1),inverse(multiply(multiply(inverse(X3),inverse(multiply(X4,multiply(X5,multiply(multiply(inverse(X5),inverse(X2)),inverse(X3)))))),X4))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.61/1.01 [weight('<643,16,12,[0,0,0,10]>')]).
% 0.61/1.01 cnf('0.17.1.1',plain,
% 0.61/1.01 ( multiply(inverse(X1),inverse(X2)) = multiply(inverse(X1),inverse(multiply(multiply(c3,inverse(multiply(X4,multiply(X5,multiply(multiply(inverse(X5),inverse(X2)),c3))))),X4))) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.17.1.0','0.11.2.1',theory(equality)]),
% 0.61/1.01 [pos('R.2.1.1','L')]).
% 0.61/1.01 cnf('0.17.2.0',plain,
% 0.61/1.01 ( multiply(inverse(X1),inverse(multiply(multiply(c3,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(X4)),c3))))),X2))) = multiply(inverse(X1),inverse(X4)) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.17.1.1',theory(equality)]),
% 0.61/1.01 [x,rule_12]).
% 0.61/1.01 cnf('0.18.0.0',plain,
% 0.61/1.01 ( inverse(multiply(multiply(c3,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),c3))))),X1)) = multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(multiply(inverse(X5),inverse(multiply(inverse(X6),inverse(X3)))),inverse(X6)))),inverse(X5))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.8.2.0','0.17.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.1.2.1.1.2.1','L')]).
% 0.61/1.01 cnf('0.18.0.1',plain,
% 0.61/1.01 ( inverse(multiply(multiply(c3,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),c3))))),X1)) = inverse(X3) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.18.0.0','0.8.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('0.18.1.0',plain,
% 0.61/1.01 ( inverse(multiply(multiply(c3,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),c3))))),X1)) = inverse(X3) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.18.0.1']),
% 0.61/1.01 [weight('<359,17,8,[0,0,0,12]>')]).
% 0.61/1.01 cnf('0.18.2.0',plain,
% 0.61/1.01 ( inverse(multiply(multiply(c3,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),c3))))),X1)) = inverse(X3) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_13]).
% 0.61/1.01 cnf('0.19.0.0',plain,
% 0.61/1.01 ( inverse(X1) = inverse(multiply(multiply(X2,inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(X1)),X2))))),X3)) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.18.2.0','0.11.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1.1','L')]).
% 0.61/1.01 cnf('0.19.1.0',plain,
% 0.61/1.01 ( inverse(X1) = inverse(multiply(multiply(X2,inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(X1)),X2))))),X3)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.61/1.01 [weight('<359,18,11,[1,0,0,2]>')]).
% 0.61/1.01 cnf('0.19.2.0',plain,
% 0.61/1.01 ( inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(X4)),X1))))),X2)) = inverse(X4) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_14]).
% 0.61/1.01 cnf('0.20.0.0',plain,
% 0.61/1.01 ( inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),X2)) = inverse(multiply(multiply(inverse(X1),inverse(multiply(X4,X3))),X4)) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.19.2.0','0.8.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1.1.2.1.2','L')]).
% 0.61/1.01 cnf('0.20.1.0',plain,
% 0.61/1.01 ( inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),X2)) = inverse(multiply(multiply(inverse(X1),inverse(multiply(X4,X3))),X4)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.61/1.01 [weight('<440,19,8,[1,0,0,7]>')]).
% 0.61/1.01 cnf('0.20.2.0',plain,
% 0.61/1.01 ( inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),X2)) = inverse(multiply(multiply(inverse(X1),inverse(multiply(X4,X3))),X4)) ),
% 0.61/1.01 inference(activate,[status(thm)],['0.20.1.0']),
% 0.61/1.01 [equation_6]).
% 0.61/1.01 cnf('0.20.2.1',plain,
% 0.61/1.01 ( inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),X2)) = inverse(multiply(multiply(inverse(X1),inverse(multiply(c3,X3))),c3)) ),
% 0.61/1.01 inference(instr,[status(thm)],['0.20.2.0',theory(equality)])).
% 0.61/1.01 cnf('0.20.2.2',plain,
% 0.61/1.01 ( inverse(multiply(multiply(inverse(X1),inverse(multiply(c3,X3))),c3)) = inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),X2)) ),
% 0.61/1.01 inference(instl,[status(thm)],['0.20.2.0',theory(equality)])).
% 0.61/1.01 cnf('0.26.0.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X4,X2))),inverse(X5)))))),inverse(X6))) = multiply(X5,multiply(X4,inverse(X6))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.16.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.1','L')]).
% 0.61/1.01 cnf('0.26.1.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X4,X2))),inverse(X5)))))),inverse(X6))) = multiply(X5,multiply(X4,inverse(X6))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.61/1.01 [weight('<719,16,1,[1,0,0,3]>')]).
% 0.61/1.01 cnf('0.26.2.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X4,X2))),inverse(X5)))))),inverse(X6))) = multiply(X5,multiply(X4,inverse(X6))) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_19]).
% 0.61/1.01 cnf('0.27.0.0',plain,
% 0.61/1.01 ( multiply(multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(X4)),X1))))),X2),multiply(X5,inverse(X6))) = multiply(X7,multiply(multiply(inverse(X7),inverse(multiply(X8,multiply(X9,multiply(multiply(inverse(X9),inverse(multiply(X5,X8))),inverse(X4)))))),inverse(X6))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.26.2.0','0.19.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.1.2.1.2.2.2','L')]).
% 0.61/1.01 cnf('0.27.0.1',plain,
% 0.61/1.01 ( multiply(multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(X4)),X1))))),X2),multiply(X5,inverse(X6))) = multiply(X4,multiply(X5,inverse(X6))) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.27.0.0','0.26.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('0.27.1.0',plain,
% 0.61/1.01 ( multiply(multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(X4)),X1))))),X2),multiply(X5,inverse(X6))) = multiply(X4,multiply(X5,inverse(X6))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.27.0.1']),
% 0.61/1.01 [weight('<615,26,19,[1,0,0,19]>')]).
% 0.61/1.01 cnf('0.27.2.0',plain,
% 0.61/1.01 ( multiply(multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(X4)),X1))))),X2),multiply(X5,inverse(X6))) = multiply(X4,multiply(X5,inverse(X6))) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_20]).
% 0.61/1.01 cnf('0.28.0.0',plain,
% 0.61/1.01 ( multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(X4)),X1))))),X2) = multiply(X5,inverse(multiply(multiply(X6,inverse(X7)),multiply(X8,multiply(multiply(inverse(X8),inverse(multiply(X4,multiply(X6,inverse(X7))))),X5))))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.1.2.0','0.27.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.1.2.2.1.2.1','L')]).
% 0.61/1.01 cnf('0.28.0.1',plain,
% 0.61/1.01 ( multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(X4)),X1))))),X2) = X4 ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.28.0.0','0.1.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('0.28.1.0',plain,
% 0.61/1.01 ( multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(X4)),X1))))),X2) = X4 ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.28.0.1']),
% 0.61/1.01 [weight('<305,27,1,[0,0,0,12]>')]).
% 0.61/1.01 cnf('0.28.2.0',plain,
% 0.61/1.01 ( multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(X4)),X1))))),X2) = X4 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_21]).
% 0.61/1.01 cnf('0.29.0.0',plain,
% 0.61/1.01 ( X1 = multiply(X1,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),inverse(X4))),multiply(X4,X3)))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.1.2.0','0.28.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.1.2.2','L')]).
% 0.61/1.01 cnf('0.29.1.0',plain,
% 0.61/1.01 ( X1 = multiply(X1,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),inverse(X4))),multiply(X4,X3)))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.61/1.01 [weight('<341,28,1,[0,0,0,7]>')]).
% 0.61/1.01 cnf('0.29.2.0',plain,
% 0.61/1.01 ( multiply(X1,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),inverse(X4))),multiply(X4,X3)))) = X1 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_22]).
% 0.61/1.01 cnf('0.30.0.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(multiply(inverse(X1),inverse(X2)),inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(X4)),inverse(X5))),multiply(X5,X4))))) = multiply(X6,multiply(inverse(X6),inverse(X2))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.16.2.0','0.29.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','L')]).
% 0.61/1.01 cnf('0.30.0.1',plain,
% 0.61/1.01 ( multiply(X1,multiply(inverse(X1),inverse(X2))) = multiply(X6,multiply(inverse(X6),inverse(X2))) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.30.0.0','0.29.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','L')]).
% 0.61/1.01 cnf('0.30.1.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(inverse(X1),inverse(X2))) = multiply(X6,multiply(inverse(X6),inverse(X2))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.30.0.1']),
% 0.61/1.01 [weight('<224,29,16,[0,0,0,2]>')]).
% 0.61/1.01 cnf('0.30.2.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(inverse(X1),inverse(X2))) = multiply(X3,multiply(inverse(X3),inverse(X2))) ),
% 0.61/1.01 inference(activate,[status(thm)],['0.30.1.0']),
% 0.61/1.01 [equation_8]).
% 0.61/1.01 cnf('0.30.2.1',plain,
% 0.61/1.01 ( multiply(X1,multiply(inverse(X1),inverse(X2))) = multiply(c3,multiply(inverse(c3),inverse(X2))) ),
% 0.61/1.01 inference(instr,[status(thm)],['0.30.2.0',theory(equality)])).
% 0.61/1.01 cnf('0.30.2.2',plain,
% 0.61/1.01 ( multiply(c3,multiply(inverse(c3),inverse(X2))) = multiply(X1,multiply(inverse(X1),inverse(X2))) ),
% 0.61/1.01 inference(instl,[status(thm)],['0.30.2.0',theory(equality)])).
% 0.61/1.01 cnf('0.31.0.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(inverse(X1),inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),inverse(X4))),multiply(X4,X3))))) = multiply(X5,inverse(X5)) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.30.2.0','0.29.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','L')]).
% 0.61/1.01 cnf('0.31.0.1',plain,
% 0.61/1.01 ( multiply(X1,inverse(X1)) = multiply(X5,inverse(X5)) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.31.0.0','0.29.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','L')]).
% 0.61/1.01 cnf('0.31.1.0',plain,
% 0.61/1.01 ( multiply(X1,inverse(X1)) = multiply(X5,inverse(X5)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.31.0.1']),
% 0.61/1.01 [weight('<80,30,29,[1,0,0,2]>')]).
% 0.61/1.01 cnf('0.31.2.0',plain,
% 0.61/1.01 ( multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)) ),
% 0.61/1.01 inference(activate,[status(thm)],['0.31.1.0']),
% 0.61/1.01 [equation_9]).
% 0.61/1.01 cnf('0.31.2.1',plain,
% 0.61/1.01 ( multiply(X1,inverse(X1)) = multiply(c3,inverse(c3)) ),
% 0.61/1.01 inference(instr,[status(thm)],['0.31.2.0',theory(equality)])).
% 0.61/1.01 cnf('0.31.2.2',plain,
% 0.61/1.01 ( multiply(c3,inverse(c3)) = multiply(X1,inverse(X1)) ),
% 0.61/1.01 inference(instl,[status(thm)],['0.31.2.0',theory(equality)])).
% 0.61/1.01 cnf('0.33.0.0',plain,
% 0.61/1.01 ( inverse(X1) = multiply(multiply(X2,inverse(multiply(X3,multiply(X1,multiply(multiply(X4,inverse(X4)),X2))))),X3) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.28.2.0','0.31.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1.2.1.2.2.1','L')]).
% 0.61/1.01 cnf('0.33.1.0',plain,
% 0.61/1.01 ( inverse(X1) = multiply(multiply(X2,inverse(multiply(X3,multiply(X1,multiply(multiply(X4,inverse(X4)),X2))))),X3) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.33.0.0']),
% 0.61/1.01 [weight('<287,31,28,[0,0,0,9]>')]).
% 0.61/1.01 cnf('0.33.2.0',plain,
% 0.61/1.01 ( multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),X1))))),X2) = inverse(X3) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_23]).
% 0.61/1.01 cnf('0.34.0.0',plain,
% 0.61/1.01 ( inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(X4)),inverse(X5))),multiply(X5,X4)))))),X2)) = inverse(multiply(multiply(inverse(X1),inverse(X6)),X6)) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.20.2.0','0.29.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1.1.2.1','L')]).
% 0.61/1.01 cnf('0.34.0.1',plain,
% 0.61/1.01 ( inverse(multiply(multiply(inverse(X1),inverse(X2)),X2)) = inverse(multiply(multiply(inverse(X1),inverse(X6)),X6)) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.34.0.0','0.29.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1.1.2.1','L')]).
% 0.61/1.01 cnf('0.34.1.0',plain,
% 0.61/1.01 ( inverse(multiply(multiply(inverse(X1),inverse(X2)),X2)) = inverse(multiply(multiply(inverse(X1),inverse(X6)),X6)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.34.0.1']),
% 0.61/1.01 [weight('<288,29,20,[0,0,0,6]>')]).
% 0.61/1.01 cnf('0.34.2.0',plain,
% 0.61/1.01 ( inverse(multiply(multiply(inverse(X1),inverse(X2)),X2)) = inverse(multiply(multiply(inverse(X1),inverse(X3)),X3)) ),
% 0.61/1.01 inference(activate,[status(thm)],['0.34.1.0']),
% 0.61/1.01 [equation_11]).
% 0.61/1.01 cnf('0.34.2.1',plain,
% 0.61/1.01 ( inverse(multiply(multiply(inverse(X1),inverse(X2)),X2)) = inverse(multiply(multiply(inverse(X1),inverse(c3)),c3)) ),
% 0.61/1.01 inference(instr,[status(thm)],['0.34.2.0',theory(equality)])).
% 0.61/1.01 cnf('0.34.2.2',plain,
% 0.61/1.01 ( inverse(multiply(multiply(inverse(X1),inverse(c3)),c3)) = inverse(multiply(multiply(inverse(X1),inverse(X2)),X2)) ),
% 0.61/1.01 inference(instl,[status(thm)],['0.34.2.0',theory(equality)])).
% 0.61/1.01 cnf('0.35.0.0',plain,
% 0.61/1.01 ( multiply(multiply(inverse(X1),inverse(X2)),X2) = multiply(multiply(X3,inverse(multiply(X4,multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(multiply(inverse(X1),inverse(X6)),X6))),X3))))),X4) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.28.2.0','0.34.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1.2.1.2.2.1.2','L')]).
% 0.61/1.01 cnf('0.35.0.1',plain,
% 0.61/1.01 ( multiply(multiply(inverse(X1),inverse(X2)),X2) = multiply(multiply(inverse(X1),inverse(X6)),X6) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.35.0.0','0.28.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('0.35.1.0',plain,
% 0.61/1.01 ( multiply(multiply(inverse(X1),inverse(X2)),X2) = multiply(multiply(inverse(X1),inverse(X6)),X6) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.35.0.1']),
% 0.61/1.01 [weight('<224,34,28,[0,0,0,12]>')]).
% 0.61/1.01 cnf('0.35.2.0',plain,
% 0.61/1.01 ( multiply(multiply(inverse(X1),inverse(X2)),X2) = multiply(multiply(inverse(X1),inverse(X3)),X3) ),
% 0.61/1.01 inference(activate,[status(thm)],['0.35.1.0']),
% 0.61/1.01 [equation_12]).
% 0.61/1.01 cnf('0.35.2.1',plain,
% 0.61/1.01 ( multiply(multiply(inverse(X1),inverse(X2)),X2) = multiply(multiply(inverse(X1),inverse(c3)),c3) ),
% 0.61/1.01 inference(instr,[status(thm)],['0.35.2.0',theory(equality)])).
% 0.61/1.01 cnf('0.35.2.2',plain,
% 0.61/1.01 ( multiply(multiply(inverse(X1),inverse(c3)),c3) = multiply(multiply(inverse(X1),inverse(X2)),X2) ),
% 0.61/1.01 inference(instl,[status(thm)],['0.35.2.0',theory(equality)])).
% 0.61/1.01 cnf('0.36.0.0',plain,
% 0.61/1.01 ( multiply(multiply(inverse(X1),inverse(X2)),X2) = multiply(multiply(X3,inverse(X3)),inverse(X1)) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.35.2.0','0.31.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.36.1.0',plain,
% 0.61/1.01 ( multiply(multiply(inverse(X1),inverse(X2)),X2) = multiply(multiply(X3,inverse(X3)),inverse(X1)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.36.0.0']),
% 0.61/1.01 [weight('<224,35,31,[1,0,0,1]>')]).
% 0.61/1.01 cnf('0.36.2.0',plain,
% 0.61/1.01 ( multiply(multiply(inverse(X1),inverse(X2)),X2) = multiply(multiply(X3,inverse(X3)),inverse(X1)) ),
% 0.61/1.01 inference(activate,[status(thm)],['0.36.1.0']),
% 0.61/1.01 [equation_13]).
% 0.61/1.01 cnf('0.36.2.1',plain,
% 0.61/1.01 ( multiply(multiply(inverse(X1),inverse(X2)),X2) = multiply(multiply(c3,inverse(c3)),inverse(X1)) ),
% 0.61/1.01 inference(instr,[status(thm)],['0.36.2.0',theory(equality)])).
% 0.61/1.01 cnf('0.36.2.2',plain,
% 0.61/1.01 ( multiply(multiply(inverse(X2),inverse(c3)),c3) = multiply(multiply(X1,inverse(X1)),inverse(X2)) ),
% 0.61/1.01 inference(instl,[status(thm)],['0.36.2.0',theory(equality)])).
% 0.61/1.01 cnf('0.40.0.0',plain,
% 0.61/1.01 ( X1 = multiply(multiply(X1,X2),inverse(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),inverse(X3)))))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.1.2.0','0.36.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.1.2.2','L')]).
% 0.61/1.01 cnf('0.40.1.0',plain,
% 0.61/1.01 ( X1 = multiply(multiply(X1,X2),inverse(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),inverse(X3)))))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.40.0.0']),
% 0.61/1.01 [weight('<305,36,1,[0,0,0,7]>')]).
% 0.61/1.01 cnf('0.40.2.0',plain,
% 0.61/1.01 ( multiply(multiply(X1,X2),inverse(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),inverse(X3)))))) = X1 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_25]).
% 0.61/1.01 cnf('0.41.0.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(X1))) = multiply(X3,inverse(X3)) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.40.2.0','0.31.2.0',theory(equality)]),
% 0.61/1.01 [pos('L','L')]).
% 0.61/1.01 cnf('0.41.1.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(X1))) = multiply(X3,inverse(X3)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.41.0.0']),
% 0.61/1.01 [weight('<195,40,31,[1,0,0,0]>')]).
% 0.61/1.01 cnf('0.41.2.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(X1))) = multiply(X3,inverse(X3)) ),
% 0.61/1.01 inference(activate,[status(thm)],['0.41.1.0']),
% 0.61/1.01 [equation_16]).
% 0.61/1.01 cnf('0.41.2.1',plain,
% 0.61/1.01 ( multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(X1))) = multiply(c3,inverse(c3)) ),
% 0.61/1.01 inference(instr,[status(thm)],['0.41.2.0',theory(equality)])).
% 0.61/1.01 cnf('0.41.2.2',plain,
% 0.61/1.01 ( multiply(c3,multiply(multiply(c3,inverse(c3)),inverse(c3))) = multiply(X1,inverse(X1)) ),
% 0.61/1.01 inference(instl,[status(thm)],['0.41.2.0',theory(equality)])).
% 0.61/1.01 cnf('0.42.0.0',plain,
% 0.61/1.01 ( X1 = multiply(X1,inverse(multiply(multiply(X2,inverse(X2)),multiply(X3,inverse(X3))))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.29.2.0','0.41.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.1.1','L')]).
% 0.61/1.01 cnf('0.42.1.0',plain,
% 0.61/1.01 ( X1 = multiply(X1,inverse(multiply(multiply(X2,inverse(X2)),multiply(X3,inverse(X3))))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.42.0.0']),
% 0.61/1.01 [weight('<181,41,29,[0,0,0,4]>')]).
% 0.61/1.01 cnf('0.42.2.0',plain,
% 0.61/1.01 ( multiply(X1,inverse(multiply(multiply(X2,inverse(X2)),multiply(X3,inverse(X3))))) = X1 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_26]).
% 0.61/1.01 cnf('0.43.0.0',plain,
% 0.61/1.01 ( X1 = multiply(X1,inverse(multiply(X2,inverse(X2)))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.42.2.0','0.41.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.1','L')]).
% 0.61/1.01 cnf('0.43.1.0',plain,
% 0.61/1.01 ( X1 = multiply(X1,inverse(multiply(X2,inverse(X2)))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.43.0.0']),
% 0.61/1.01 [weight('<71,42,41,[1,0,0,3]>')]).
% 0.61/1.01 cnf('0.43.2.0',plain,
% 0.61/1.01 ( multiply(X1,inverse(multiply(X2,inverse(X2)))) = X1 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_27]).
% 0.61/1.01 cnf('0.44.0.0',plain,
% 0.61/1.01 ( X1 = multiply(X2,inverse(multiply(inverse(X1),multiply(X3,multiply(inverse(X3),X2))))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.1.2.0','0.43.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.1.2.2.1','L')]).
% 0.61/1.01 cnf('0.44.1.0',plain,
% 0.61/1.01 ( X1 = multiply(X2,inverse(multiply(inverse(X1),multiply(X3,multiply(inverse(X3),X2))))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.44.0.0']),
% 0.61/1.01 [weight('<181,43,1,[0,0,0,8]>')]).
% 0.61/1.01 cnf('0.44.2.0',plain,
% 0.61/1.01 ( multiply(X1,inverse(multiply(inverse(X2),multiply(X3,multiply(inverse(X3),X1))))) = X2 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_28]).
% 0.61/1.01 cnf('0.46.0.0',plain,
% 0.61/1.01 ( inverse(X1) = multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(X3,inverse(X3))))),X2) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.28.2.0','0.41.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1.2.1.2','L')]).
% 0.61/1.01 cnf('0.46.1.0',plain,
% 0.61/1.01 ( inverse(X1) = multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(X3,inverse(X3))))),X2) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.46.0.0']),
% 0.61/1.01 [weight('<194,41,28,[0,0,0,6]>')]).
% 0.61/1.01 cnf('0.46.2.0',plain,
% 0.61/1.01 ( multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(X3,inverse(X3))))),X2) = inverse(X1) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_30]).
% 0.61/1.01 cnf('0.47.0.0',plain,
% 0.61/1.01 ( inverse(X1) = multiply(multiply(inverse(X1),inverse(multiply(X2,inverse(X2)))),multiply(X3,inverse(X3))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.46.2.0','0.41.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1.2.1','L')]).
% 0.61/1.01 cnf('0.47.0.1',plain,
% 0.61/1.01 ( inverse(X1) = multiply(inverse(X1),multiply(X3,inverse(X3))) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.47.0.0','0.43.2.0',theory(equality)]),
% 0.61/1.01 [pos('R.1','L')]).
% 0.61/1.01 cnf('0.47.1.0',plain,
% 0.61/1.01 ( inverse(X1) = multiply(inverse(X1),multiply(X3,inverse(X3))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.47.0.1']),
% 0.61/1.01 [weight('<79,46,41,[1,0,0,5]>')]).
% 0.61/1.01 cnf('0.47.2.0',plain,
% 0.61/1.01 ( multiply(inverse(X1),multiply(X2,inverse(X2))) = inverse(X1) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_31]).
% 0.61/1.01 cnf('0.48.0.0',plain,
% 0.61/1.01 ( X1 = multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(X1),multiply(X3,inverse(X3))))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.44.2.0','0.47.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.1.2.2','L')]).
% 0.61/1.01 cnf('0.48.0.1',plain,
% 0.61/1.01 ( X1 = multiply(multiply(X2,inverse(X2)),inverse(inverse(X1))) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.48.0.0','0.47.2.0',theory(equality)]),
% 0.61/1.01 [pos('R.2.1','L')]).
% 0.61/1.01 cnf('0.48.1.0',plain,
% 0.61/1.01 ( X1 = multiply(multiply(X2,inverse(X2)),inverse(inverse(X1))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.48.0.1']),
% 0.61/1.01 [weight('<89,47,44,[0,0,0,8]>')]).
% 0.61/1.01 cnf('0.48.2.0',plain,
% 0.61/1.01 ( multiply(multiply(X1,inverse(X1)),inverse(inverse(X2))) = X2 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_32]).
% 0.61/1.01 cnf('0.49.0.0',plain,
% 0.61/1.01 ( multiply(X1,inverse(X1)) = multiply(inverse(X2),X2) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.41.2.0','0.48.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','L')]).
% 0.61/1.01 cnf('0.49.1.0',plain,
% 0.61/1.01 ( multiply(X1,inverse(X1)) = multiply(inverse(X2),X2) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.49.0.0']),
% 0.61/1.01 [weight('<80,48,41,[0,0,0,2]>')]).
% 0.61/1.01 cnf('0.49.2.0',plain,
% 0.61/1.01 ( multiply(X1,inverse(X1)) = multiply(inverse(X2),X2) ),
% 0.61/1.01 inference(activate,[status(thm)],['0.49.1.0']),
% 0.61/1.01 [equation_17]).
% 0.61/1.01 cnf('0.49.2.1',plain,
% 0.61/1.01 ( multiply(X1,inverse(X1)) = multiply(inverse(c3),c3) ),
% 0.61/1.01 inference(instr,[status(thm)],['0.49.2.0',theory(equality)])).
% 0.61/1.01 cnf('0.49.2.2',plain,
% 0.61/1.01 ( multiply(c3,inverse(c3)) = multiply(inverse(X1),X1) ),
% 0.61/1.01 inference(instl,[status(thm)],['0.49.2.0',theory(equality)])).
% 0.61/1.01 cnf('0.50.0.0',plain,
% 0.61/1.01 ( X1 = multiply(multiply(X2,inverse(multiply(X3,multiply(inverse(X1),multiply(multiply(X4,inverse(X4)),X2))))),X3) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.28.2.0','0.49.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1.2.1.2.2.1','R')]).
% 0.61/1.01 cnf('0.50.0.1',plain,
% 0.61/1.01 ( X1 = inverse(inverse(X1)) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.50.0.0','0.33.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('0.50.1.0',plain,
% 0.61/1.01 ( X1 = inverse(inverse(X1)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.50.0.1']),
% 0.61/1.01 [weight('<19,49,28,[0,1,0,9]>')]).
% 0.61/1.01 cnf('0.50.2.0',plain,
% 0.61/1.01 ( inverse(inverse(X1)) = X1 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_33]).
% 0.61/1.01 cnf('0.51.0.0',plain,
% 0.61/1.01 ( multiply(multiply(X1,inverse(X1)),inverse(inverse(X2))) = X2 ),
% 0.61/1.01 inference(interreduction_right,[status(thm)],['0.48.2.0'])).
% 0.61/1.01 cnf('0.51.0.1',plain,
% 0.61/1.01 ( multiply(multiply(X1,inverse(X1)),X2) = X2 ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.51.0.0','0.50.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','L')]).
% 0.61/1.01 cnf('0.51.1.0',plain,
% 0.61/1.01 ( multiply(multiply(X1,inverse(X1)),X2) = X2 ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.51.0.1']),
% 0.61/1.01 [weight('<55,48,50,[0,0,0,0]>')]).
% 0.61/1.01 cnf('0.51.2.0',plain,
% 0.61/1.01 ( multiply(multiply(X1,inverse(X1)),X2) = X2 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_34]).
% 0.61/1.01 cnf('0.52.0.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(inverse(X1),X2)) = multiply(X2,inverse(multiply(X3,inverse(X3)))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.44.2.0','0.49.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.1','R')]).
% 0.61/1.01 cnf('0.52.0.1',plain,
% 0.61/1.01 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.52.0.0','0.43.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('0.52.1.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.52.0.1']),
% 0.61/1.01 [weight('<55,49,44,[0,1,0,3]>')]).
% 0.61/1.01 cnf('0.52.2.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_35]).
% 0.61/1.01 cnf('0.55.0.0',plain,
% 0.61/1.01 ( X1 = multiply(inverse(X2),multiply(X2,X1)) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.52.2.0','0.50.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.1','L')]).
% 0.61/1.01 cnf('0.55.1.0',plain,
% 0.61/1.01 ( X1 = multiply(inverse(X2),multiply(X2,X1)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.55.0.0']),
% 0.61/1.01 [weight('<55,52,50,[1,0,0,3]>')]).
% 0.61/1.01 cnf('0.55.2.0',plain,
% 0.61/1.01 ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_38]).
% 0.61/1.01 cnf('0.56.0.0',plain,
% 0.61/1.01 ( multiply(X1,inverse(multiply(inverse(X2),multiply(X3,multiply(inverse(X3),X1))))) = X2 ),
% 0.61/1.01 inference(interreduction_right,[status(thm)],['0.44.2.0'])).
% 0.61/1.01 cnf('0.56.0.1',plain,
% 0.61/1.01 ( multiply(X1,inverse(multiply(inverse(X2),X1))) = X2 ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.56.0.0','0.52.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.1.2','L')]).
% 0.61/1.01 cnf('0.56.1.0',plain,
% 0.61/1.01 ( multiply(X1,inverse(multiply(inverse(X2),X1))) = X2 ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.56.0.1']),
% 0.61/1.01 [weight('<71,44,52,[0,0,0,0]>')]).
% 0.61/1.01 cnf('0.56.2.0',plain,
% 0.61/1.01 ( multiply(X1,inverse(multiply(inverse(X2),X1))) = X2 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_39]).
% 0.61/1.01 cnf('0.57.0.0',plain,
% 0.61/1.01 ( X1 = multiply(multiply(inverse(inverse(X1)),X2),inverse(X2)) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.56.2.0','0.52.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.1','L')]).
% 0.61/1.01 cnf('0.57.0.1',plain,
% 0.61/1.01 ( X1 = multiply(multiply(X1,X2),inverse(X2)) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.57.0.0','0.50.2.0',theory(equality)]),
% 0.61/1.01 [pos('R.1.1','L')]).
% 0.61/1.01 cnf('0.57.1.0',plain,
% 0.61/1.01 ( X1 = multiply(multiply(X1,X2),inverse(X2)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.57.0.1']),
% 0.61/1.01 [weight('<55,56,52,[1,0,0,3]>')]).
% 0.61/1.01 cnf('0.57.2.0',plain,
% 0.61/1.01 ( multiply(multiply(X1,X2),inverse(X2)) = X1 ),
% 0.61/1.01 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_40]).
% 0.61/1.01 cnf('0.59.0.0',plain,
% 0.61/1.01 ( inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.55.2.0','0.56.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','L')]).
% 0.61/1.01 cnf('0.59.1.0',plain,
% 0.61/1.01 ( inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.59.0.0']),
% 0.61/1.01 [weight('<59,56,55,[0,0,0,3]>')]).
% 0.61/1.01 cnf('0.59.2.0',plain,
% 0.61/1.01 ( inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_42]).
% 0.61/1.01 cnf('0.60.0.0',plain,
% 0.61/1.01 ( multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.59.2.0','0.50.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1.1','L')]).
% 0.61/1.01 cnf('0.60.1.0',plain,
% 0.61/1.01 ( multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.60.0.0']),
% 0.61/1.01 [weight('<59,59,50,[1,0,0,2]>')]).
% 0.61/1.01 cnf('0.60.2.0',plain,
% 0.61/1.01 ( multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_43]).
% 0.61/1.01 cnf('0.61.0.0',plain,
% 0.61/1.01 ( inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.60.2.0','0.50.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.61.1.0',plain,
% 0.61/1.01 ( inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.61.0.0']),
% 0.61/1.01 [weight('<59,60,50,[1,0,0,1]>')]).
% 0.61/1.01 cnf('0.61.2.0',plain,
% 0.61/1.01 ( inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_44]).
% 0.61/1.01 cnf('0.62.0.0',plain,
% 0.61/1.01 ( inverse(X1) = multiply(inverse(multiply(X2,X1)),X2) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.55.2.0','0.57.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','L')]).
% 0.61/1.01 cnf('0.62.1.0',plain,
% 0.61/1.01 ( inverse(X1) = multiply(inverse(multiply(X2,X1)),X2) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.62.0.0']),
% 0.61/1.01 [weight('<62,57,55,[0,0,0,3]>')]).
% 0.61/1.01 cnf('0.62.2.0',plain,
% 0.61/1.01 ( multiply(inverse(multiply(X1,X2)),X1) = inverse(X2) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_45]).
% 0.61/1.01 cnf('0.68.0.0',plain,
% 0.61/1.01 ( multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),X1))))),X2) = inverse(X3) ),
% 0.61/1.01 inference(interreduction_right,[status(thm)],['0.33.2.0'])).
% 0.61/1.01 cnf('0.68.0.1',plain,
% 0.61/1.01 ( multiply(multiply(X1,inverse(multiply(X2,multiply(X3,X1)))),X2) = inverse(X3) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.68.0.0','0.51.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1.2.1.2.2','L')]).
% 0.61/1.01 cnf('0.68.1.0',plain,
% 0.61/1.01 ( multiply(multiply(X1,inverse(multiply(X2,multiply(X3,X1)))),X2) = inverse(X3) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.68.0.1']),
% 0.61/1.01 [weight('<142,33,51,[0,0,0,0]>')]).
% 0.61/1.01 cnf('0.68.2.0',plain,
% 0.61/1.01 ( multiply(multiply(X1,inverse(multiply(X2,multiply(X3,X1)))),X2) = inverse(X3) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 0.61/1.01 [u,rule_51]).
% 0.61/1.01 cnf('0.69.0.0',plain,
% 0.61/1.01 ( inverse(inverse(multiply(X1,X2))) = multiply(multiply(X1,inverse(multiply(X3,inverse(X2)))),X3) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.68.2.0','0.62.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1.2.1.2','L')]).
% 0.61/1.01 cnf('0.69.0.1',plain,
% 0.61/1.01 ( multiply(X1,X2) = multiply(multiply(X1,inverse(multiply(X3,inverse(X2)))),X3) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.69.0.0','0.50.2.0',theory(equality)]),
% 0.61/1.01 [pos('L','L')]).
% 0.61/1.01 cnf('0.69.0.2',plain,
% 0.61/1.01 ( multiply(X1,X2) = multiply(multiply(X1,multiply(X2,inverse(X3))),X3) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.69.0.1','0.61.2.0',theory(equality)]),
% 0.61/1.01 [pos('R.1.2','L')]).
% 0.61/1.01 cnf('0.69.1.0',plain,
% 0.61/1.01 ( multiply(X1,X2) = multiply(multiply(X1,multiply(X2,inverse(X3))),X3) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.69.0.2']),
% 0.61/1.01 [weight('<107,68,62,[1,0,0,6]>')]).
% 0.61/1.01 cnf('0.69.2.0',plain,
% 0.61/1.01 ( multiply(multiply(X1,multiply(X2,inverse(X3))),X3) = multiply(X1,X2) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_52]).
% 0.61/1.01 cnf('0.70.0.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.69.2.0','0.57.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1.2','L')]).
% 0.61/1.01 cnf('0.70.1.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.70.0.0']),
% 0.61/1.01 [weight('<65,69,57,[1,0,0,3]>')]).
% 0.61/1.01 cnf('0.70.2.0',plain,
% 0.61/1.01 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_53]).
% 0.61/1.01 cnf('1.0.0.0',conjecture,
% 0.61/1.01 ( multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.61/1.01 file('/tmp/WALDMEISTER_6484_n020',conjecture_1)).
% 0.61/1.01 cnf('1.0.0.1',plain,
% 0.61/1.01 ( multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)) ),
% 0.61/1.01 inference(reduction,[status(thm)],['1.0.0.0','0.70.2.0',theory(equality)]),
% 0.61/1.01 [pos('L','L')]).
% 0.61/1.01 cnf('1.0.0.2',plain,
% 0.61/1.01 ( $true ),
% 0.61/1.01 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.61/1.01 [conjecture_1]).
% 0.61/1.01
% 0.61/1.01 Proved Goals:
% 0.61/1.01 No. 1: multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) joined, current: multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3))
% 0.61/1.01 1 goal was specified, which was proved.
% 0.61/1.01 % SZS output end CNFRefutation
% 0.61/1.01 #END OF PROOF
% 0.61/1.01
% 0.61/1.01 Problem WALDMEISTER_6484_n020
% 0.61/1.01 CPs.gen 4520
% 0.61/1.01 CPs.reexp 0
% 0.61/1.01 Select 256
% 0.61/1.01 R 53
% 0.61/1.01 E 17
% 0.61/1.01 vsize 6.4M
% 0.61/1.01 rss 3.8M
% 0.61/1.01 process.time 0.036s
% 0.61/1.01 wallclock.time 0.036s
% 0.61/1.01 status S
% 0.61/1.01
% 0.61/1.01
% 0.61/1.01 Waldmeister states: Goal proved.
% 0.61/1.01 % SZS status Unsatisfiable
%------------------------------------------------------------------------------