TSTP Solution File: GRP506-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP506-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n012.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 12:26:42 EDT 2022
% Result : Unsatisfiable 2.52s 2.88s
% Output : CNFRefutation 2.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP506-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 16:56:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.64/0.99 ********************************************************************************
% 0.64/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.64/0.99 * |/ | \/ | *
% 0.64/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.64/0.99 * A. Jaeger and B. Loechner | | *
% 0.64/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.64/0.99 ********************************************************************************
% 0.64/0.99
% 0.64/0.99
% 0.64/0.99 Goals:
% 0.64/0.99 ------
% 0.64/0.99
% 0.64/0.99 ( 1) multiply(multiply(inverse(b2),b2),a2) ?=? a2
% 0.64/0.99
% 0.64/0.99 Detected structure: Orkus
% 0.64/0.99 ********************************************************************************
% 0.64/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.64/0.99 ********************************************************************************
% 0.64/0.99
% 2.52/2.88 joined goal: 1 multiply(multiply(inverse(b2),b2),a2) ?= a2 to a2
% 2.52/2.88 goal joined
% 2.52/2.88 % SZS status Unsatisfiable
% 2.52/2.88 #START OF PROOF
% 2.52/2.88 % SZS output start CNFRefutation
% 2.52/2.88 cnf('0.1.0.0',axiom,
% 2.52/2.88 ( X1 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(multiply(X4,X5)),multiply(X4,inverse(multiply(multiply(X1,inverse(X6)),inverse(X5))))))),X6) ),
% 2.52/2.88 file('/tmp/WALDMEISTER_14055_n012')).
% 2.52/2.88 cnf('0.1.1.0',plain,
% 2.52/2.88 ( X1 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(multiply(X4,X5)),multiply(X4,inverse(multiply(multiply(X1,inverse(X6)),inverse(X5))))))),X6) ),
% 2.52/2.88 inference(weigh,[status(thm)],['0.1.0.0']),
% 2.52/2.88 [weight('<0,0,0,[0,0,0,1]>')]).
% 2.52/2.88 cnf('0.1.2.0',plain,
% 2.52/2.88 ( multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(X5,inverse(X6)),inverse(X4))))))),X6) = X5 ),
% 2.52/2.88 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 2.52/2.88 [x,rule_1]).
% 2.52/2.88 cnf('0.6.0.0',plain,
% 2.52/2.88 ( inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(X5,inverse(inverse(X6))),inverse(X4))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X8)),multiply(X8,X7))),multiply(inverse(multiply(X9,X10)),multiply(X9,inverse(multiply(X5,inverse(X10))))))),X6) ),
% 2.52/2.88 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 2.52/2.88 [pos('L.1.1.2.2.2.1.1','L')]).
% 2.52/2.88 cnf('0.6.1.0',plain,
% 2.52/2.88 ( inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(X5,inverse(inverse(X6))),inverse(X4))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X8)),multiply(X8,X7))),multiply(inverse(multiply(X9,X10)),multiply(X9,inverse(multiply(X5,inverse(X10))))))),X6) ),
% 2.52/2.88 inference(weigh,[status(thm)],['0.6.0.0']),
% 2.52/2.88 [weight('<2808,1,1,[0,0,0,21]>')]).
% 2.52/2.88 cnf('0.6.2.0',plain,
% 2.52/2.88 ( inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(X5,inverse(inverse(X6))),inverse(X4))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X8)),multiply(X8,X7))),multiply(inverse(multiply(X9,X10)),multiply(X9,inverse(multiply(X5,inverse(X10))))))),X6) ),
% 2.52/2.88 inference(activate,[status(thm)],['0.6.1.0']),
% 2.52/2.88 [equation_1]).
% 2.52/2.88 cnf('0.6.2.1',plain,
% 2.52/2.88 ( inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(X5,inverse(inverse(X6))),inverse(X4))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,b2))),multiply(inverse(multiply(b2,b2)),multiply(b2,inverse(multiply(X5,inverse(b2))))))),X6) ),
% 2.52/2.88 inference(instr,[status(thm)],['0.6.2.0',theory(equality)])).
% 2.52/2.88 cnf('0.6.2.2',plain,
% 2.52/2.88 ( inverse(multiply(inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,b2))),multiply(inverse(multiply(b2,b2)),multiply(b2,inverse(multiply(multiply(X5,inverse(inverse(X6))),inverse(b2))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(X5,inverse(X4))))))),X6) ),
% 2.52/2.88 inference(instl,[status(thm)],['0.6.2.0',theory(equality)])).
% 2.52/2.88 cnf('0.7.0.0',plain,
% 2.52/2.88 ( X1 = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(multiply(X4,X5)),multiply(X4,inverse(multiply(X1,inverse(X5))))))),X6),inverse(X6)) ),
% 2.52/2.88 inference(cp,[status(thm)],['0.1.2.0','0.6.2.0',theory(equality)]),
% 2.52/2.88 [pos('L.1','L')]).
% 2.52/2.88 cnf('0.7.1.0',plain,
% 2.52/2.88 ( X1 = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(multiply(X4,X5)),multiply(X4,inverse(multiply(X1,inverse(X5))))))),X6),inverse(X6)) ),
% 2.52/2.88 inference(weigh,[status(thm)],['0.7.0.0']),
% 2.52/2.88 [weight('<869,6,1,[0,0,0,1]>')]).
% 2.52/2.88 cnf('0.7.2.0',plain,
% 2.52/2.88 ( multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(X5,inverse(X4))))))),X6),inverse(X6)) = X5 ),
% 2.52/2.88 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 2.52/2.88 [x,rule_6]).
% 2.52/2.88 cnf('0.8.0.0',plain,
% 2.52/2.88 ( multiply(X1,inverse(inverse(X2))) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X4,X3))),multiply(inverse(multiply(X5,X6)),multiply(X5,inverse(multiply(X1,inverse(X6))))))),X2),X7),inverse(X7)) ),
% 2.52/2.88 inference(cp,[status(thm)],['0.7.2.0','0.6.2.0',theory(equality)]),
% 2.52/2.88 [pos('L.1.1','L')]).
% 2.52/2.88 cnf('0.8.1.0',plain,
% 2.52/2.88 ( multiply(X1,inverse(inverse(X2))) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X4,X3))),multiply(inverse(multiply(X5,X6)),multiply(X5,inverse(multiply(X1,inverse(X6))))))),X2),X7),inverse(X7)) ),
% 2.52/2.88 inference(weigh,[status(thm)],['0.8.0.0']),
% 2.52/2.88 [weight('<1115,7,6,[1,0,0,2]>')]).
% 2.52/2.88 cnf('0.8.2.0',plain,
% 2.52/2.88 ( multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(X5,inverse(X4))))))),X6),X7),inverse(X7)) = multiply(X5,inverse(inverse(X6))) ),
% 2.52/2.88 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 2.52/2.88 [x,rule_7]).
% 2.52/2.88 cnf('0.9.0.0',plain,
% 2.52/2.88 ( multiply(multiply(X1,inverse(X2)),inverse(inverse(X2))) = multiply(multiply(X1,X3),inverse(X3)) ),
% 2.52/2.88 inference(cp,[status(thm)],['0.8.2.0','0.1.2.0',theory(equality)]),
% 2.52/2.88 [pos('L.1.1','L')]).
% 2.52/2.88 cnf('0.9.1.0',plain,
% 2.52/2.88 ( multiply(multiply(X1,inverse(X2)),inverse(inverse(X2))) = multiply(multiply(X1,X3),inverse(X3)) ),
% 2.52/2.88 inference(weigh,[status(thm)],['0.9.0.0']),
% 2.52/2.88 [weight('<224,8,1,[1,0,0,2]>')]).
% 2.52/2.88 cnf('0.9.2.0',plain,
% 2.52/2.88 ( multiply(multiply(X1,inverse(X2)),inverse(inverse(X2))) = multiply(multiply(X1,X3),inverse(X3)) ),
% 2.52/2.88 inference(activate,[status(thm)],['0.9.1.0']),
% 2.52/2.88 [equation_2]).
% 2.52/2.88 cnf('0.9.2.1',plain,
% 2.52/2.88 ( multiply(multiply(X1,inverse(X2)),inverse(inverse(X2))) = multiply(multiply(X1,b2),inverse(b2)) ),
% 2.52/2.88 inference(instr,[status(thm)],['0.9.2.0',theory(equality)])).
% 2.52/2.88 cnf('0.9.2.2',plain,
% 2.52/2.88 ( multiply(multiply(X1,inverse(b2)),inverse(inverse(b2))) = multiply(multiply(X1,X2),inverse(X2)) ),
% 2.52/2.88 inference(instl,[status(thm)],['0.9.2.0',theory(equality)])).
% 2.52/2.88 cnf('0.10.0.0',plain,
% 2.52/2.88 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X1,X3),inverse(X3)) ),
% 2.52/2.88 inference(cp,[status(thm)],['0.9.2.0','0.9.2.0',theory(equality)]),
% 2.52/2.88 [pos('L','L')]).
% 2.52/2.88 cnf('0.10.1.0',plain,
% 2.52/2.88 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X1,X3),inverse(X3)) ),
% 2.52/2.88 inference(weigh,[status(thm)],['0.10.0.0']),
% 2.52/2.88 [weight('<168,9,9,[1,0,0,0]>')]).
% 2.52/2.88 cnf('0.10.2.0',plain,
% 2.52/2.88 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X1,X3),inverse(X3)) ),
% 2.52/2.88 inference(activate,[status(thm)],['0.10.1.0']),
% 2.52/2.88 [equation_3]).
% 2.52/2.88 cnf('0.10.2.1',plain,
% 2.52/2.88 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X1,b2),inverse(b2)) ),
% 2.52/2.88 inference(instr,[status(thm)],['0.10.2.0',theory(equality)])).
% 2.52/2.88 cnf('0.10.2.2',plain,
% 2.52/2.88 ( multiply(multiply(X1,b2),inverse(b2)) = multiply(multiply(X1,X2),inverse(X2)) ),
% 2.52/2.88 inference(instl,[status(thm)],['0.10.2.0',theory(equality)])).
% 2.52/2.88 cnf('0.11.0.0',plain,
% 2.52/2.88 ( multiply(multiply(multiply(X1,X2),X3),inverse(X3)) = multiply(multiply(multiply(X1,X4),inverse(X4)),inverse(inverse(X2))) ),
% 2.52/2.88 inference(cp,[status(thm)],['0.10.2.0','0.10.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1','L')]).
% 2.52/2.89 cnf('0.11.1.0',plain,
% 2.52/2.89 ( multiply(multiply(multiply(X1,X2),X3),inverse(X3)) = multiply(multiply(multiply(X1,X4),inverse(X4)),inverse(inverse(X2))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.11.0.0']),
% 2.52/2.89 [weight('<360,10,10,[0,0,0,1]>')]).
% 2.52/2.89 cnf('0.11.2.0',plain,
% 2.52/2.89 ( multiply(multiply(multiply(X1,X2),X3),inverse(X3)) = multiply(multiply(multiply(X1,X4),inverse(X4)),inverse(inverse(X2))) ),
% 2.52/2.89 inference(activate,[status(thm)],['0.11.1.0']),
% 2.52/2.89 [equation_4]).
% 2.52/2.89 cnf('0.11.2.1',plain,
% 2.52/2.89 ( multiply(multiply(multiply(X1,X2),X3),inverse(X3)) = multiply(multiply(multiply(X1,b2),inverse(b2)),inverse(inverse(X2))) ),
% 2.52/2.89 inference(instr,[status(thm)],['0.11.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.11.2.2',plain,
% 2.52/2.89 ( multiply(multiply(multiply(X1,X3),b2),inverse(b2)) = multiply(multiply(multiply(X1,X2),inverse(X2)),inverse(inverse(X3))) ),
% 2.52/2.89 inference(instl,[status(thm)],['0.11.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.16.0.0',plain,
% 2.52/2.89 ( X1 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(multiply(X4,inverse(X5))),multiply(X4,inverse(multiply(multiply(X1,X6),inverse(X6))))))),X5) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.1.2.0','0.10.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1.2.2.2.1','L')]).
% 2.52/2.89 cnf('0.16.1.0',plain,
% 2.52/2.89 ( X1 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(multiply(X4,inverse(X5))),multiply(X4,inverse(multiply(multiply(X1,X6),inverse(X6))))))),X5) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.16.0.0']),
% 2.52/2.89 [weight('<869,10,1,[0,0,0,20]>')]).
% 2.52/2.89 cnf('0.16.2.0',plain,
% 2.52/2.89 ( multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(multiply(X5,X6),inverse(X6))))))),X4) = X5 ),
% 2.52/2.89 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_8]).
% 2.52/2.89 cnf('0.19.0.0',plain,
% 2.52/2.89 ( multiply(X1,X2) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X4,X3))),multiply(inverse(multiply(X5,X2)),multiply(X5,inverse(multiply(multiply(X1,X6),inverse(X6))))))),X7),inverse(X7)) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.7.2.0','0.10.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1.1.2.2.2.1','L')]).
% 2.52/2.89 cnf('0.19.1.0',plain,
% 2.52/2.89 ( multiply(X1,X2) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X4,X3))),multiply(inverse(multiply(X5,X2)),multiply(X5,inverse(multiply(multiply(X1,X6),inverse(X6))))))),X7),inverse(X7)) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.19.0.0']),
% 2.52/2.89 [weight('<1053,10,7,[0,0,0,21]>')]).
% 2.52/2.89 cnf('0.19.2.0',plain,
% 2.52/2.89 ( multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(X5,X6),inverse(X6))))))),X7),inverse(X7)) = multiply(X5,X4) ),
% 2.52/2.89 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_11]).
% 2.52/2.89 cnf('0.25.0.0',plain,
% 2.52/2.89 ( X1 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(multiply(multiply(X4,X5),inverse(X5))),multiply(multiply(X4,X6),inverse(multiply(multiply(X1,X7),inverse(X7))))))),X6) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.16.2.0','0.10.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1.2.1.1','L')]).
% 2.52/2.89 cnf('0.25.1.0',plain,
% 2.52/2.89 ( X1 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(multiply(multiply(X4,X5),inverse(X5))),multiply(multiply(X4,X6),inverse(multiply(multiply(X1,X7),inverse(X7))))))),X6) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.25.0.0']),
% 2.52/2.89 [weight('<1121,16,10,[1,0,0,14]>')]).
% 2.52/2.89 cnf('0.25.2.0',plain,
% 2.52/2.89 ( multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(multiply(X3,X4),inverse(X4))),multiply(multiply(X3,X5),inverse(multiply(multiply(X6,X7),inverse(X7))))))),X5) = X6 ),
% 2.52/2.89 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_14]).
% 2.52/2.89 cnf('0.26.0.0',plain,
% 2.52/2.89 ( X1 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X5,X4))),multiply(inverse(multiply(X6,X7)),multiply(X6,inverse(multiply(X8,inverse(X7))))))),X9),inverse(X9))),X8))),multiply(multiply(X1,X10),inverse(X10))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.25.2.0','0.7.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1.2.2','L')]).
% 2.52/2.89 cnf('0.26.0.1',plain,
% 2.52/2.89 ( X1 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(X8),X8))),multiply(multiply(X1,X10),inverse(X10))) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.26.0.0','0.7.2.0',theory(equality)]),
% 2.52/2.89 [pos('R.1.1.2.1.1','L')]).
% 2.52/2.89 cnf('0.26.1.0',plain,
% 2.52/2.89 ( X1 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(X8),X8))),multiply(multiply(X1,X10),inverse(X10))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.26.0.1']),
% 2.52/2.89 [weight('<551,25,7,[1,0,0,20]>')]).
% 2.52/2.89 cnf('0.26.2.0',plain,
% 2.52/2.89 ( multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(X3),X3))),multiply(multiply(X4,X5),inverse(X5))) = X4 ),
% 2.52/2.89 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_15]).
% 2.52/2.89 cnf('0.27.0.0',plain,
% 2.52/2.89 ( multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))) = multiply(X3,inverse(multiply(multiply(X3,X4),inverse(X4)))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.19.2.0','0.26.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1','L')]).
% 2.52/2.89 cnf('0.27.1.0',plain,
% 2.52/2.89 ( multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))) = multiply(X3,inverse(multiply(multiply(X3,X4),inverse(X4)))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.27.0.0']),
% 2.52/2.89 [weight('<360,26,19,[0,0,0,1]>')]).
% 2.52/2.89 cnf('0.27.2.0',plain,
% 2.52/2.89 ( multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))) = multiply(X3,inverse(multiply(multiply(X3,X4),inverse(X4)))) ),
% 2.52/2.89 inference(activate,[status(thm)],['0.27.1.0']),
% 2.52/2.89 [equation_12]).
% 2.52/2.89 cnf('0.27.2.1',plain,
% 2.52/2.89 ( multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))) = multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2)))) ),
% 2.52/2.89 inference(instr,[status(thm)],['0.27.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.27.2.2',plain,
% 2.52/2.89 ( multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2)))) = multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))) ),
% 2.52/2.89 inference(instl,[status(thm)],['0.27.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.28.0.0',plain,
% 2.52/2.89 ( X1 = multiply(multiply(X2,inverse(multiply(multiply(X2,X3),inverse(X3)))),inverse(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X5,X4))),multiply(inverse(multiply(X6,X7)),multiply(X6,inverse(multiply(X1,inverse(X7))))))),X8),inverse(X8))))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.7.2.0','0.27.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1','L')]).
% 2.52/2.89 cnf('0.28.0.1',plain,
% 2.52/2.89 ( X1 = multiply(multiply(X2,inverse(multiply(multiply(X2,X3),inverse(X3)))),inverse(inverse(X1))) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.28.0.0','0.7.2.0',theory(equality)]),
% 2.52/2.89 [pos('R.2.1.1','L')]).
% 2.52/2.89 cnf('0.28.1.0',plain,
% 2.52/2.89 ( X1 = multiply(multiply(X2,inverse(multiply(multiply(X2,X3),inverse(X3)))),inverse(inverse(X1))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.28.0.1']),
% 2.52/2.89 [weight('<209,27,7,[0,0,0,1]>')]).
% 2.52/2.89 cnf('0.28.2.0',plain,
% 2.52/2.89 ( multiply(multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))),inverse(inverse(X3))) = X3 ),
% 2.52/2.89 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_16]).
% 2.52/2.89 cnf('0.29.0.0',plain,
% 2.52/2.89 ( multiply(X1,inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(multiply(X4,X5)),multiply(X4,inverse(multiply(X1,inverse(X5))))))),X6),inverse(X6)))))) = multiply(X7,inverse(inverse(inverse(X7)))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.8.2.0','0.28.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1','L')]).
% 2.52/2.89 cnf('0.29.0.1',plain,
% 2.52/2.89 ( multiply(X1,inverse(inverse(inverse(X1)))) = multiply(X7,inverse(inverse(inverse(X7)))) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.29.0.0','0.7.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.2.1.1.1','L')]).
% 2.52/2.89 cnf('0.29.1.0',plain,
% 2.52/2.89 ( multiply(X1,inverse(inverse(inverse(X1)))) = multiply(X7,inverse(inverse(inverse(X7)))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.29.0.1']),
% 2.52/2.89 [weight('<168,28,8,[0,0,0,1]>')]).
% 2.52/2.89 cnf('0.29.2.0',plain,
% 2.52/2.89 ( multiply(X1,inverse(inverse(inverse(X1)))) = multiply(X2,inverse(inverse(inverse(X2)))) ),
% 2.52/2.89 inference(activate,[status(thm)],['0.29.1.0']),
% 2.52/2.89 [equation_13]).
% 2.52/2.89 cnf('0.29.2.1',plain,
% 2.52/2.89 ( multiply(X1,inverse(inverse(inverse(X1)))) = multiply(b2,inverse(inverse(inverse(b2)))) ),
% 2.52/2.89 inference(instr,[status(thm)],['0.29.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.29.2.2',plain,
% 2.52/2.89 ( multiply(b2,inverse(inverse(inverse(b2)))) = multiply(X1,inverse(inverse(inverse(X1)))) ),
% 2.52/2.89 inference(instl,[status(thm)],['0.29.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.30.0.0',plain,
% 2.52/2.89 ( multiply(X1,inverse(inverse(inverse(X1)))) = inverse(multiply(X2,inverse(multiply(multiply(X2,X3),inverse(X3))))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.29.2.0','0.28.2.0',theory(equality)]),
% 2.52/2.89 [pos('L','L')]).
% 2.52/2.89 cnf('0.30.1.0',plain,
% 2.52/2.89 ( multiply(X1,inverse(inverse(inverse(X1)))) = inverse(multiply(X2,inverse(multiply(multiply(X2,X3),inverse(X3))))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.30.0.0']),
% 2.52/2.89 [weight('<288,29,28,[1,0,0,0]>')]).
% 2.52/2.89 cnf('0.30.2.0',plain,
% 2.52/2.89 ( multiply(X1,inverse(inverse(inverse(X1)))) = inverse(multiply(X2,inverse(multiply(multiply(X2,X3),inverse(X3))))) ),
% 2.52/2.89 inference(activate,[status(thm)],['0.30.1.0']),
% 2.52/2.89 [equation_14]).
% 2.52/2.89 cnf('0.30.2.1',plain,
% 2.52/2.89 ( multiply(X1,inverse(inverse(inverse(X1)))) = inverse(multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2))))) ),
% 2.52/2.89 inference(instr,[status(thm)],['0.30.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.30.2.2',plain,
% 2.52/2.89 ( multiply(b2,inverse(inverse(inverse(b2)))) = inverse(multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2))))) ),
% 2.52/2.89 inference(instl,[status(thm)],['0.30.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.31.0.0',plain,
% 2.52/2.89 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X3,inverse(inverse(inverse(X3)))),inverse(inverse(inverse(inverse(X1))))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.10.2.0','0.29.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1','L')]).
% 2.52/2.89 cnf('0.31.1.0',plain,
% 2.52/2.89 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X3,inverse(inverse(inverse(X3)))),inverse(inverse(inverse(inverse(X1))))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.31.0.0']),
% 2.52/2.89 [weight('<360,29,10,[0,0,0,1]>')]).
% 2.52/2.89 cnf('0.31.2.0',plain,
% 2.52/2.89 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X3,inverse(inverse(inverse(X3)))),inverse(inverse(inverse(inverse(X1))))) ),
% 2.52/2.89 inference(activate,[status(thm)],['0.31.1.0']),
% 2.52/2.89 [equation_15]).
% 2.52/2.89 cnf('0.31.2.1',plain,
% 2.52/2.89 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(b2,inverse(inverse(inverse(b2)))),inverse(inverse(inverse(inverse(X1))))) ),
% 2.52/2.89 inference(instr,[status(thm)],['0.31.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.31.2.2',plain,
% 2.52/2.89 ( multiply(multiply(X2,b2),inverse(b2)) = multiply(multiply(X1,inverse(inverse(inverse(X1)))),inverse(inverse(inverse(inverse(X2))))) ),
% 2.52/2.89 inference(instl,[status(thm)],['0.31.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.34.0.0',plain,
% 2.52/2.89 ( X1 = multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2)))),multiply(inverse(X4),X4))),multiply(multiply(X1,X5),inverse(X5))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.26.2.0','0.26.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1.1.1','L')]).
% 2.52/2.89 cnf('0.34.1.0',plain,
% 2.52/2.89 ( X1 = multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2)))),multiply(inverse(X4),X4))),multiply(multiply(X1,X5),inverse(X5))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.34.0.0']),
% 2.52/2.89 [weight('<599,26,26,[0,0,0,4]>')]).
% 2.52/2.89 cnf('0.34.2.0',plain,
% 2.52/2.89 ( multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)))),multiply(inverse(X3),X3))),multiply(multiply(X4,X5),inverse(X5))) = X4 ),
% 2.52/2.89 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_18]).
% 2.52/2.89 cnf('0.36.0.0',plain,
% 2.52/2.89 ( multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)))),multiply(inverse(X3),X3))),X4),X5),inverse(X5)) = multiply(multiply(X6,inverse(multiply(multiply(X6,X7),inverse(X7)))),inverse(inverse(X4))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.11.2.0','0.34.2.0',theory(equality)]),
% 2.52/2.89 [pos('R.1.1','L')]).
% 2.52/2.89 cnf('0.36.0.1',plain,
% 2.52/2.89 ( multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)))),multiply(inverse(X3),X3))),X4),X5),inverse(X5)) = X4 ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.36.0.0','0.28.2.0',theory(equality)]),
% 2.52/2.89 [pos('R','L')]).
% 2.52/2.89 cnf('0.36.1.0',plain,
% 2.52/2.89 ( multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)))),multiply(inverse(X3),X3))),X4),X5),inverse(X5)) = X4 ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.36.0.1']),
% 2.52/2.89 [weight('<599,34,11,[0,0,1,2]>')]).
% 2.52/2.89 cnf('0.36.2.0',plain,
% 2.52/2.89 ( multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)))),multiply(inverse(X3),X3))),X4),X5),inverse(X5)) = X4 ),
% 2.52/2.89 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 2.52/2.89 [u,rule_20]).
% 2.52/2.89 cnf('0.48.0.0',plain,
% 2.52/2.89 ( multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))) = multiply(multiply(X3,inverse(multiply(multiply(X3,X4),inverse(X4)))),inverse(multiply(X5,inverse(inverse(inverse(X5)))))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.27.2.0','0.28.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.2.1.1','L')]).
% 2.52/2.89 cnf('0.48.1.0',plain,
% 2.52/2.89 ( multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))) = multiply(multiply(X3,inverse(multiply(multiply(X3,X4),inverse(X4)))),inverse(multiply(X5,inverse(inverse(inverse(X5)))))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.48.0.0']),
% 2.52/2.89 [weight('<728,28,27,[0,0,0,4]>')]).
% 2.52/2.89 cnf('0.48.2.0',plain,
% 2.52/2.89 ( multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))) = multiply(multiply(X3,inverse(multiply(multiply(X3,X4),inverse(X4)))),inverse(multiply(X5,inverse(inverse(inverse(X5)))))) ),
% 2.52/2.89 inference(activate,[status(thm)],['0.48.1.0']),
% 2.52/2.89 [equation_23]).
% 2.52/2.89 cnf('0.48.2.1',plain,
% 2.52/2.89 ( multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))) = multiply(multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2)))),inverse(multiply(b2,inverse(inverse(inverse(b2)))))) ),
% 2.52/2.89 inference(instr,[status(thm)],['0.48.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.48.2.2',plain,
% 2.52/2.89 ( multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2)))) = multiply(multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))),inverse(multiply(X3,inverse(inverse(inverse(X3)))))) ),
% 2.52/2.89 inference(instl,[status(thm)],['0.48.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.54.0.0',plain,
% 2.52/2.89 ( multiply(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)))),multiply(inverse(X3),X3))),X4),X5),X6),inverse(X6)) = multiply(X4,inverse(inverse(X5))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.10.2.0','0.36.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1','L')]).
% 2.52/2.89 cnf('0.54.1.0',plain,
% 2.52/2.89 ( multiply(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)))),multiply(inverse(X3),X3))),X4),X5),X6),inverse(X6)) = multiply(X4,inverse(inverse(X5))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.54.0.0']),
% 2.52/2.89 [weight('<805,36,10,[0,0,0,1]>')]).
% 2.52/2.89 cnf('0.54.2.0',plain,
% 2.52/2.89 ( multiply(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)))),multiply(inverse(X3),X3))),X4),X5),X6),inverse(X6)) = multiply(X4,inverse(inverse(X5))) ),
% 2.52/2.89 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 2.52/2.89 [u,rule_28]).
% 2.52/2.89 cnf('0.60.0.0',plain,
% 2.52/2.89 ( inverse(multiply(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)))),multiply(inverse(X3),X3))),X4),inverse(X4))) = multiply(X5,inverse(inverse(inverse(X5)))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.36.2.0','0.28.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1','L')]).
% 2.52/2.89 cnf('0.60.1.0',plain,
% 2.52/2.89 ( inverse(multiply(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)))),multiply(inverse(X3),X3))),X4),inverse(X4))) = multiply(X5,inverse(inverse(inverse(X5)))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.60.0.0']),
% 2.52/2.89 [weight('<840,36,28,[1,0,0,1]>')]).
% 2.52/2.89 cnf('0.60.2.0',plain,
% 2.52/2.89 ( inverse(multiply(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)))),multiply(inverse(X3),X3))),X4),inverse(X4))) = multiply(X5,inverse(inverse(inverse(X5)))) ),
% 2.52/2.89 inference(activate,[status(thm)],['0.60.1.0']),
% 2.52/2.89 [equation_28]).
% 2.52/2.89 cnf('0.60.2.1',plain,
% 2.52/2.89 ( inverse(multiply(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)))),multiply(inverse(X3),X3))),X4),inverse(X4))) = multiply(b2,inverse(inverse(inverse(b2)))) ),
% 2.52/2.89 inference(instr,[status(thm)],['0.60.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.60.2.2',plain,
% 2.52/2.89 ( inverse(multiply(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,b2)))),multiply(inverse(b2),b2))),b2),inverse(b2))) = multiply(X1,inverse(inverse(inverse(X1)))) ),
% 2.52/2.89 inference(instl,[status(thm)],['0.60.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.61.0.0',plain,
% 2.52/2.89 ( X1 = multiply(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2)))),multiply(inverse(X4),X4))),multiply(X5,inverse(inverse(inverse(X5))))),inverse(inverse(X1))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.28.2.0','0.60.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.2','L')]).
% 2.52/2.89 cnf('0.61.1.0',plain,
% 2.52/2.89 ( X1 = multiply(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2)))),multiply(inverse(X4),X4))),multiply(X5,inverse(inverse(inverse(X5))))),inverse(inverse(X1))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.61.0.0']),
% 2.52/2.89 [weight('<811,60,28,[0,0,0,3]>')]).
% 2.52/2.89 cnf('0.61.2.0',plain,
% 2.52/2.89 ( multiply(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)))),multiply(inverse(X3),X3))),multiply(X4,inverse(inverse(inverse(X4))))),inverse(inverse(X5))) = X5 ),
% 2.52/2.89 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_33]).
% 2.52/2.89 cnf('0.70.0.0',plain,
% 2.52/2.89 ( multiply(multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))),inverse(inverse(X3))) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X5,X4))),multiply(inverse(multiply(X6,inverse(X7))),multiply(X6,inverse(X7))))),X3),X8),inverse(X8)) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.8.2.0','0.28.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1.1.1.2.2.2.1','L')]).
% 2.52/2.89 cnf('0.70.0.1',plain,
% 2.52/2.89 ( X3 = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X5,X4))),multiply(inverse(multiply(X6,inverse(X7))),multiply(X6,inverse(X7))))),X3),X8),inverse(X8)) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.70.0.0','0.28.2.0',theory(equality)]),
% 2.52/2.89 [pos('L','L')]).
% 2.52/2.89 cnf('0.70.1.0',plain,
% 2.52/2.89 ( X3 = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X5,X4))),multiply(inverse(multiply(X6,inverse(X7))),multiply(X6,inverse(X7))))),X3),X8),inverse(X8)) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.70.0.1']),
% 2.52/2.89 [weight('<869,28,8,[0,0,0,22]>')]).
% 2.52/2.89 cnf('0.70.2.0',plain,
% 2.52/2.89 ( multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(X4))))),X5),X6),inverse(X6)) = X5 ),
% 2.52/2.89 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_40]).
% 2.52/2.89 cnf('0.71.0.0',plain,
% 2.52/2.89 ( X1 = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(X4),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X6)),multiply(X6,X5))),multiply(inverse(multiply(X7,X8)),multiply(X7,inverse(multiply(multiply(X4,inverse(inverse(X9))),inverse(X8))))))),inverse(X9))))),X1),X10),inverse(X10)) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.70.2.0','0.1.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1.1.1.2.1.1','L')]).
% 2.52/2.89 cnf('0.71.0.1',plain,
% 2.52/2.89 ( X1 = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(X4),X4))),X1),X10),inverse(X10)) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.71.0.0','0.1.2.0',theory(equality)]),
% 2.52/2.89 [pos('R.1.1.1.1.2.2','L')]).
% 2.52/2.89 cnf('0.71.1.0',plain,
% 2.52/2.89 ( X1 = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(X4),X4))),X1),X10),inverse(X10)) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.71.0.1']),
% 2.52/2.89 [weight('<551,70,1,[1,0,0,16]>')]).
% 2.52/2.89 cnf('0.71.2.0',plain,
% 2.52/2.89 ( multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(X3),X3))),X4),X5),inverse(X5)) = X4 ),
% 2.52/2.89 inference(orient,[status(thm)],['0.71.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_41]).
% 2.52/2.89 cnf('0.79.0.0',plain,
% 2.52/2.89 ( X1 = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(multiply(multiply(X4,inverse(multiply(multiply(X4,X5),inverse(X5)))),inverse(inverse(X1)))),multiply(X6,inverse(multiply(multiply(X6,X7),inverse(X7))))))),X8),inverse(X8)) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.7.2.0','0.48.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1.1.2.2','R')]).
% 2.52/2.89 cnf('0.79.0.1',plain,
% 2.52/2.89 ( X1 = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(X1),multiply(X6,inverse(multiply(multiply(X6,X7),inverse(X7))))))),X8),inverse(X8)) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.79.0.0','0.28.2.0',theory(equality)]),
% 2.52/2.89 [pos('R.1.1.1.2.1.1','L')]).
% 2.52/2.89 cnf('0.79.1.0',plain,
% 2.52/2.89 ( X1 = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(X1),multiply(X6,inverse(multiply(multiply(X6,X7),inverse(X7))))))),X8),inverse(X8)) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.79.0.1']),
% 2.52/2.89 [weight('<869,48,7,[0,1,0,18]>')]).
% 2.52/2.89 cnf('0.79.2.0',plain,
% 2.52/2.89 ( multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(X3),multiply(X4,inverse(multiply(multiply(X4,X5),inverse(X5))))))),X6),inverse(X6)) = X3 ),
% 2.52/2.89 inference(orient,[status(thm)],['0.79.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_48]).
% 2.52/2.89 cnf('0.80.0.0',plain,
% 2.52/2.89 ( X1 = multiply(multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))))),multiply(inverse(X4),X4))),multiply(X5,inverse(inverse(inverse(X5))))),inverse(inverse(X1))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.61.2.0','0.26.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1.1.1.1.1','L')]).
% 2.52/2.89 cnf('0.80.1.0',plain,
% 2.52/2.89 ( X1 = multiply(multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))))),multiply(inverse(X4),X4))),multiply(X5,inverse(inverse(inverse(X5))))),inverse(inverse(X1))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.80.0.0']),
% 2.52/2.89 [weight('<869,61,26,[1,0,0,6]>')]).
% 2.52/2.89 cnf('0.80.2.0',plain,
% 2.52/2.89 ( multiply(multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))))),multiply(inverse(X3),X3))),multiply(X4,inverse(inverse(inverse(X4))))),inverse(inverse(X5))) = X5 ),
% 2.52/2.89 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_49]).
% 2.52/2.89 cnf('0.85.0.0',plain,
% 2.52/2.89 ( multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(X3),X3))),X4),inverse(X4)) = multiply(X5,inverse(multiply(multiply(X5,X6),inverse(X6)))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.10.2.0','0.26.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1','L')]).
% 2.52/2.89 cnf('0.85.1.0',plain,
% 2.52/2.89 ( multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(X3),X3))),X4),inverse(X4)) = multiply(X5,inverse(multiply(multiply(X5,X6),inverse(X6)))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.85.0.0']),
% 2.52/2.89 [weight('<899,26,10,[0,0,0,1]>')]).
% 2.52/2.89 cnf('0.85.2.0',plain,
% 2.52/2.89 ( multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(X3),X3))),X4),inverse(X4)) = multiply(X5,inverse(multiply(multiply(X5,X6),inverse(X6)))) ),
% 2.52/2.89 inference(activate,[status(thm)],['0.85.1.0']),
% 2.52/2.89 [equation_32]).
% 2.52/2.89 cnf('0.85.2.1',plain,
% 2.52/2.89 ( multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(X3),X3))),X4),inverse(X4)) = multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2)))) ),
% 2.52/2.89 inference(instr,[status(thm)],['0.85.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.85.2.2',plain,
% 2.52/2.89 ( multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,b2))),multiply(inverse(b2),b2))),b2),inverse(b2)) = multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))) ),
% 2.52/2.89 inference(instl,[status(thm)],['0.85.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.86.0.0',plain,
% 2.52/2.89 ( X1 = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X5,X4))),multiply(inverse(X6),X6))),multiply(X1,inverse(X7))),X7)),multiply(X8,inverse(multiply(multiply(X8,X9),inverse(X9))))))),X10),inverse(X10)) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.7.2.0','0.85.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1.1.2.2','L')]).
% 2.52/2.89 cnf('0.86.0.1',plain,
% 2.52/2.89 ( X1 = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X5,X4))),multiply(inverse(X6),X6))),multiply(X1,inverse(X7))),X7) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.86.0.0','0.79.2.0',theory(equality)]),
% 2.52/2.89 [pos('R','L')]).
% 2.52/2.89 cnf('0.86.1.0',plain,
% 2.52/2.89 ( X1 = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X5,X4))),multiply(inverse(X6),X6))),multiply(X1,inverse(X7))),X7) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.86.0.1']),
% 2.52/2.89 [weight('<551,85,7,[0,0,0,18]>')]).
% 2.52/2.89 cnf('0.86.2.0',plain,
% 2.52/2.89 ( multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(X3),X3))),multiply(X4,inverse(X5))),X5) = X4 ),
% 2.52/2.89 inference(orient,[status(thm)],['0.86.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_54]).
% 2.52/2.89 cnf('0.87.0.0',plain,
% 2.52/2.89 ( X1 = multiply(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2)))),multiply(inverse(X4),X4))),multiply(X1,inverse(X5))),X5) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.86.2.0','0.26.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1.1.1.1','L')]).
% 2.52/2.89 cnf('0.87.1.0',plain,
% 2.52/2.89 ( X1 = multiply(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2)))),multiply(inverse(X4),X4))),multiply(X1,inverse(X5))),X5) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.87.0.0']),
% 2.52/2.89 [weight('<599,86,26,[1,0,0,5]>')]).
% 2.52/2.89 cnf('0.87.2.0',plain,
% 2.52/2.89 ( multiply(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)))),multiply(inverse(X3),X3))),multiply(X4,inverse(X5))),X5) = X4 ),
% 2.52/2.89 inference(orient,[status(thm)],['0.87.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_55]).
% 2.52/2.89 cnf('0.126.0.0',plain,
% 2.52/2.89 ( multiply(multiply(multiply(X1,multiply(X2,inverse(multiply(multiply(X2,X3),inverse(X3))))),X4),inverse(X4)) = multiply(multiply(multiply(X1,X5),inverse(X5)),inverse(multiply(X6,inverse(inverse(inverse(X6)))))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.11.2.0','0.30.2.0',theory(equality)]),
% 2.52/2.89 [pos('R.2.1','R')]).
% 2.52/2.89 cnf('0.126.1.0',plain,
% 2.52/2.89 ( multiply(multiply(multiply(X1,multiply(X2,inverse(multiply(multiply(X2,X3),inverse(X3))))),X4),inverse(X4)) = multiply(multiply(multiply(X1,X5),inverse(X5)),inverse(multiply(X6,inverse(inverse(inverse(X6)))))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.126.0.0']),
% 2.52/2.89 [weight('<960,30,11,[0,1,1,8]>')]).
% 2.52/2.89 cnf('0.126.2.0',plain,
% 2.52/2.89 ( multiply(multiply(multiply(X1,multiply(X2,inverse(multiply(multiply(X2,X3),inverse(X3))))),X4),inverse(X4)) = multiply(multiply(multiply(X1,X5),inverse(X5)),inverse(multiply(X6,inverse(inverse(inverse(X6)))))) ),
% 2.52/2.89 inference(activate,[status(thm)],['0.126.1.0']),
% 2.52/2.89 [equation_36]).
% 2.52/2.89 cnf('0.126.2.1',plain,
% 2.52/2.89 ( multiply(multiply(multiply(X1,multiply(X2,inverse(multiply(multiply(X2,X3),inverse(X3))))),X4),inverse(X4)) = multiply(multiply(multiply(X1,b2),inverse(b2)),inverse(multiply(b2,inverse(inverse(inverse(b2)))))) ),
% 2.52/2.89 inference(instr,[status(thm)],['0.126.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.126.2.2',plain,
% 2.52/2.89 ( multiply(multiply(multiply(X1,multiply(b2,inverse(multiply(multiply(b2,b2),inverse(b2))))),b2),inverse(b2)) = multiply(multiply(multiply(X1,X2),inverse(X2)),inverse(multiply(X3,inverse(inverse(inverse(X3)))))) ),
% 2.52/2.89 inference(instl,[status(thm)],['0.126.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.127.0.0',plain,
% 2.52/2.89 ( multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(X5,inverse(multiply(X6,inverse(multiply(multiply(X6,X7),inverse(X7)))))),inverse(X4))))))),X8),inverse(X8)),inverse(multiply(X9,inverse(inverse(inverse(X9)))))) = multiply(multiply(X5,X10),inverse(X10)) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.126.2.0','0.1.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1','L')]).
% 2.52/2.89 cnf('0.127.0.1',plain,
% 2.52/2.89 ( multiply(multiply(X5,inverse(multiply(X6,inverse(multiply(multiply(X6,X7),inverse(X7)))))),inverse(multiply(X9,inverse(inverse(inverse(X9)))))) = multiply(multiply(X5,X10),inverse(X10)) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.127.0.0','0.7.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1','L')]).
% 2.52/2.89 cnf('0.127.1.0',plain,
% 2.52/2.89 ( multiply(multiply(X5,inverse(multiply(X6,inverse(multiply(multiply(X6,X7),inverse(X7)))))),inverse(multiply(X9,inverse(inverse(inverse(X9)))))) = multiply(multiply(X5,X10),inverse(X10)) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.127.0.1']),
% 2.52/2.89 [weight('<728,126,1,[1,0,0,2]>')]).
% 2.52/2.89 cnf('0.127.1.1',plain,
% 2.52/2.89 ( multiply(multiply(X5,multiply(b2,inverse(inverse(inverse(b2))))),inverse(multiply(X9,inverse(inverse(inverse(X9)))))) = multiply(multiply(X5,X10),inverse(X10)) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.127.1.0','0.30.2.2',theory(equality)]),
% 2.52/2.89 [pos('L.1.2','R')]).
% 2.52/2.89 cnf('0.127.2.0',plain,
% 2.52/2.89 ( multiply(multiply(X1,multiply(b2,inverse(inverse(inverse(b2))))),inverse(multiply(X2,inverse(inverse(inverse(X2)))))) = multiply(multiply(X1,X3),inverse(X3)) ),
% 2.52/2.89 inference(activate,[status(thm)],['0.127.1.1']),
% 2.52/2.89 [equation_37]).
% 2.52/2.89 cnf('0.127.2.1',plain,
% 2.52/2.89 ( multiply(multiply(X1,multiply(b2,inverse(inverse(inverse(b2))))),inverse(multiply(X2,inverse(inverse(inverse(X2)))))) = multiply(multiply(X1,b2),inverse(b2)) ),
% 2.52/2.89 inference(instr,[status(thm)],['0.127.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.127.2.2',plain,
% 2.52/2.89 ( multiply(multiply(X1,multiply(b2,inverse(inverse(inverse(b2))))),inverse(multiply(b2,inverse(inverse(inverse(b2)))))) = multiply(multiply(X1,X2),inverse(X2)) ),
% 2.52/2.89 inference(instl,[status(thm)],['0.127.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.128.0.0',plain,
% 2.52/2.89 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X1,multiply(X3,inverse(inverse(inverse(X3))))),inverse(multiply(X4,inverse(inverse(inverse(X4)))))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.127.2.0','0.29.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.2','L')]).
% 2.52/2.89 cnf('0.128.1.0',plain,
% 2.52/2.89 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X1,multiply(X3,inverse(inverse(inverse(X3))))),inverse(multiply(X4,inverse(inverse(inverse(X4)))))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.128.0.0']),
% 2.52/2.89 [weight('<528,127,29,[1,0,0,3]>')]).
% 2.52/2.89 cnf('0.128.2.0',plain,
% 2.52/2.89 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X1,multiply(X3,inverse(inverse(inverse(X3))))),inverse(multiply(X4,inverse(inverse(inverse(X4)))))) ),
% 2.52/2.89 inference(activate,[status(thm)],['0.128.1.0']),
% 2.52/2.89 [equation_38]).
% 2.52/2.89 cnf('0.128.2.1',plain,
% 2.52/2.89 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X1,multiply(b2,inverse(inverse(inverse(b2))))),inverse(multiply(b2,inverse(inverse(inverse(b2)))))) ),
% 2.52/2.89 inference(instr,[status(thm)],['0.128.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.128.2.2',plain,
% 2.52/2.89 ( multiply(multiply(X1,b2),inverse(b2)) = multiply(multiply(X1,multiply(X2,inverse(inverse(inverse(X2))))),inverse(multiply(X3,inverse(inverse(inverse(X3)))))) ),
% 2.52/2.89 inference(instl,[status(thm)],['0.128.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.130.0.0',plain,
% 2.52/2.89 ( multiply(multiply(multiply(X1,multiply(X2,inverse(inverse(inverse(X2))))),X3),inverse(X3)) = multiply(multiply(multiply(X1,X4),inverse(X4)),inverse(inverse(multiply(X5,inverse(inverse(inverse(X5))))))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.10.2.0','0.128.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1','R')]).
% 2.52/2.89 cnf('0.130.1.0',plain,
% 2.52/2.89 ( multiply(multiply(multiply(X1,multiply(X2,inverse(inverse(inverse(X2))))),X3),inverse(X3)) = multiply(multiply(multiply(X1,X4),inverse(X4)),inverse(inverse(multiply(X5,inverse(inverse(inverse(X5))))))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.130.0.0']),
% 2.52/2.89 [weight('<840,128,10,[0,1,0,1]>')]).
% 2.52/2.89 cnf('0.130.1.1',plain,
% 2.52/2.89 ( multiply(multiply(multiply(X1,multiply(X2,inverse(inverse(inverse(X2))))),X3),inverse(X3)) = multiply(multiply(multiply(X1,multiply(X5,inverse(inverse(inverse(X5))))),b2),inverse(b2)) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.130.1.0','0.11.2.2',theory(equality)]),
% 2.52/2.89 [pos('R','R')]).
% 2.52/2.89 cnf('0.130.2.0',plain,
% 2.52/2.89 ( multiply(multiply(multiply(X1,multiply(X2,inverse(inverse(inverse(X2))))),X3),inverse(X3)) = multiply(multiply(multiply(X1,multiply(X4,inverse(inverse(inverse(X4))))),b2),inverse(b2)) ),
% 2.52/2.89 inference(activate,[status(thm)],['0.130.1.1']),
% 2.52/2.89 [equation_40]).
% 2.52/2.89 cnf('0.130.2.1',plain,
% 2.52/2.89 ( multiply(multiply(multiply(X1,multiply(X2,inverse(inverse(inverse(X2))))),X3),inverse(X3)) = multiply(multiply(multiply(X1,multiply(b2,inverse(inverse(inverse(b2))))),b2),inverse(b2)) ),
% 2.52/2.89 inference(instr,[status(thm)],['0.130.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.130.2.2',plain,
% 2.52/2.89 ( multiply(multiply(multiply(X1,multiply(b2,inverse(inverse(inverse(b2))))),b2),inverse(b2)) = multiply(multiply(multiply(X1,multiply(X2,inverse(inverse(inverse(X2))))),b2),inverse(b2)) ),
% 2.52/2.89 inference(instl,[status(thm)],['0.130.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.131.0.0',plain,
% 2.52/2.89 ( multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(X5,inverse(multiply(X6,inverse(inverse(inverse(X6)))))),inverse(X4))))))),multiply(X7,inverse(inverse(inverse(X7))))),X8),inverse(X8)) = multiply(multiply(X5,b2),inverse(b2)) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.130.2.0','0.1.2.0',theory(equality)]),
% 2.52/2.89 [pos('R.1.1','L')]).
% 2.52/2.89 cnf('0.131.0.1',plain,
% 2.52/2.89 ( multiply(multiply(X5,inverse(multiply(X6,inverse(inverse(inverse(X6)))))),inverse(inverse(multiply(X7,inverse(inverse(inverse(X7))))))) = multiply(multiply(X5,b2),inverse(b2)) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.131.0.0','0.8.2.0',theory(equality)]),
% 2.52/2.89 [pos('L','L')]).
% 2.52/2.89 cnf('0.131.1.0',plain,
% 2.52/2.89 ( multiply(multiply(X5,inverse(multiply(X6,inverse(inverse(inverse(X6)))))),inverse(inverse(multiply(X7,inverse(inverse(inverse(X7))))))) = multiply(multiply(X5,b2),inverse(b2)) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.131.0.1']),
% 2.52/2.89 [weight('<474,130,1,[1,1,0,2]>')]).
% 2.52/2.89 cnf('0.131.2.0',plain,
% 2.52/2.89 ( multiply(multiply(X1,inverse(multiply(X2,inverse(inverse(inverse(X2)))))),inverse(inverse(multiply(X3,inverse(inverse(inverse(X3))))))) = multiply(multiply(X1,b2),inverse(b2)) ),
% 2.52/2.89 inference(orient,[status(thm)],['0.131.1.0',theory(equality)]),
% 2.52/2.89 [u,rule_91]).
% 2.52/2.89 cnf('0.132.0.0',plain,
% 2.52/2.89 ( multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),inverse(inverse(inverse(inverse(multiply(X2,inverse(inverse(inverse(X2))))))))) = multiply(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X3,X4)),multiply(X4,X3)))),multiply(inverse(X5),X5))),b2),inverse(b2)),X6),inverse(X6)) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.54.2.0','0.131.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1','L')]).
% 2.52/2.89 cnf('0.132.0.1',plain,
% 2.52/2.89 ( multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),inverse(inverse(inverse(inverse(multiply(X2,inverse(inverse(inverse(X2))))))))) = multiply(b2,inverse(inverse(inverse(b2)))) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.132.0.0','0.54.2.0',theory(equality)]),
% 2.52/2.89 [pos('R','L')]).
% 2.52/2.89 cnf('0.132.1.0',plain,
% 2.52/2.89 ( multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),inverse(inverse(inverse(inverse(multiply(X2,inverse(inverse(inverse(X2))))))))) = multiply(b2,inverse(inverse(inverse(b2)))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.132.0.1']),
% 2.52/2.89 [weight('<474,131,54,[0,0,0,2]>')]).
% 2.52/2.89 cnf('0.132.2.0',plain,
% 2.52/2.89 ( multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),inverse(inverse(inverse(inverse(multiply(X2,inverse(inverse(inverse(X2))))))))) = multiply(b2,inverse(inverse(inverse(b2)))) ),
% 2.52/2.89 inference(orient,[status(thm)],['0.132.1.0',theory(equality)]),
% 2.52/2.89 [u,rule_92]).
% 2.52/2.89 cnf('0.252.0.0',plain,
% 2.52/2.89 ( inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))))),multiply(inverse(X3),X3))),multiply(X4,inverse(inverse(inverse(X4)))))) = multiply(X5,inverse(inverse(inverse(X5)))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.80.2.0','0.29.2.0',theory(equality)]),
% 2.52/2.89 [pos('L','L')]).
% 2.52/2.89 cnf('0.252.1.0',plain,
% 2.52/2.89 ( inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))))),multiply(inverse(X3),X3))),multiply(X4,inverse(inverse(inverse(X4)))))) = multiply(X5,inverse(inverse(inverse(X5)))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.252.0.0']),
% 2.52/2.89 [weight('<1023,80,29,[1,0,0,0]>')]).
% 2.52/2.89 cnf('0.252.2.0',plain,
% 2.52/2.89 ( inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))))),multiply(inverse(X3),X3))),multiply(X4,inverse(inverse(inverse(X4)))))) = multiply(X5,inverse(inverse(inverse(X5)))) ),
% 2.52/2.89 inference(activate,[status(thm)],['0.252.1.0']),
% 2.52/2.89 [equation_71]).
% 2.52/2.89 cnf('0.252.2.1',plain,
% 2.52/2.89 ( inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))))),multiply(inverse(X3),X3))),multiply(X4,inverse(inverse(inverse(X4)))))) = multiply(b2,inverse(inverse(inverse(b2)))) ),
% 2.52/2.89 inference(instr,[status(thm)],['0.252.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.252.2.2',plain,
% 2.52/2.89 ( inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,b2))))),multiply(inverse(b2),b2))),multiply(b2,inverse(inverse(inverse(b2)))))) = multiply(X1,inverse(inverse(inverse(X1)))) ),
% 2.52/2.89 inference(instl,[status(thm)],['0.252.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.253.0.0',plain,
% 2.52/2.89 ( X1 = multiply(inverse(multiply(multiply(X2,inverse(inverse(inverse(X2)))),multiply(inverse(X3),X3))),multiply(multiply(X1,X4),inverse(X4))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.26.2.0','0.252.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1.1','L')]).
% 2.52/2.89 cnf('0.253.1.0',plain,
% 2.52/2.89 ( X1 = multiply(inverse(multiply(multiply(X2,inverse(inverse(inverse(X2)))),multiply(inverse(X3),X3))),multiply(multiply(X1,X4),inverse(X4))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.253.0.0']),
% 2.52/2.89 [weight('<419,252,26,[0,0,0,3]>')]).
% 2.52/2.89 cnf('0.253.2.0',plain,
% 2.52/2.89 ( multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))),multiply(multiply(X3,X4),inverse(X4))) = X3 ),
% 2.52/2.89 inference(orient,[status(thm)],['0.253.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_182]).
% 2.52/2.89 cnf('0.254.0.0',plain,
% 2.52/2.89 ( X1 = multiply(multiply(multiply(inverse(multiply(multiply(X2,inverse(inverse(inverse(X2)))),multiply(inverse(X3),X3))),X1),X4),inverse(X4)) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.71.2.0','0.252.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1.1.1.1','L')]).
% 2.52/2.89 cnf('0.254.1.0',plain,
% 2.52/2.89 ( X1 = multiply(multiply(multiply(inverse(multiply(multiply(X2,inverse(inverse(inverse(X2)))),multiply(inverse(X3),X3))),X1),X4),inverse(X4)) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.254.0.0']),
% 2.52/2.89 [weight('<419,252,71,[0,0,0,5]>')]).
% 2.52/2.89 cnf('0.254.2.0',plain,
% 2.52/2.89 ( multiply(multiply(multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))),X3),X4),inverse(X4)) = X3 ),
% 2.52/2.89 inference(orient,[status(thm)],['0.254.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_183]).
% 2.52/2.89 cnf('0.255.0.0',plain,
% 2.52/2.89 ( X1 = multiply(multiply(inverse(multiply(multiply(X2,inverse(inverse(inverse(X2)))),multiply(inverse(X3),X3))),multiply(X1,inverse(X4))),X4) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.86.2.0','0.252.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1.1.1','L')]).
% 2.52/2.89 cnf('0.255.1.0',plain,
% 2.52/2.89 ( X1 = multiply(multiply(inverse(multiply(multiply(X2,inverse(inverse(inverse(X2)))),multiply(inverse(X3),X3))),multiply(X1,inverse(X4))),X4) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.255.0.0']),
% 2.52/2.89 [weight('<419,252,86,[0,0,0,4]>')]).
% 2.52/2.89 cnf('0.255.2.0',plain,
% 2.52/2.89 ( multiply(multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))),multiply(X3,inverse(X4))),X4) = X3 ),
% 2.52/2.89 inference(orient,[status(thm)],['0.255.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_184]).
% 2.52/2.89 cnf('0.256.0.0',plain,
% 2.52/2.89 ( X1 = multiply(inverse(multiply(inverse(multiply(X2,inverse(inverse(inverse(X2))))),multiply(inverse(X3),X3))),multiply(multiply(X1,X4),inverse(X4))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.34.2.0','0.252.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1.1.1','L')]).
% 2.52/2.89 cnf('0.256.1.0',plain,
% 2.52/2.89 ( X1 = multiply(inverse(multiply(inverse(multiply(X2,inverse(inverse(inverse(X2))))),multiply(inverse(X3),X3))),multiply(multiply(X1,X4),inverse(X4))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.256.0.0']),
% 2.52/2.89 [weight('<461,252,34,[0,0,0,4]>')]).
% 2.52/2.89 cnf('0.256.2.0',plain,
% 2.52/2.89 ( multiply(inverse(multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),multiply(inverse(X2),X2))),multiply(multiply(X3,X4),inverse(X4))) = X3 ),
% 2.52/2.89 inference(orient,[status(thm)],['0.256.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_185]).
% 2.52/2.89 cnf('0.343.0.0',plain,
% 2.52/2.89 ( multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))),X3) = multiply(inverse(multiply(multiply(X4,inverse(inverse(inverse(X4)))),multiply(inverse(X5),X5))),X3) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.253.2.0','0.254.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.2','L')]).
% 2.52/2.89 cnf('0.343.1.0',plain,
% 2.52/2.89 ( multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))),X3) = multiply(inverse(multiply(multiply(X4,inverse(inverse(inverse(X4)))),multiply(inverse(X5),X5))),X3) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.343.0.0']),
% 2.52/2.89 [weight('<840,254,253,[0,0,0,13]>')]).
% 2.52/2.89 cnf('0.343.2.0',plain,
% 2.52/2.89 ( multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))),X3) = multiply(inverse(multiply(multiply(X4,inverse(inverse(inverse(X4)))),multiply(inverse(X5),X5))),X3) ),
% 2.52/2.89 inference(activate,[status(thm)],['0.343.1.0']),
% 2.52/2.89 [equation_89]).
% 2.52/2.89 cnf('0.343.2.1',plain,
% 2.52/2.89 ( multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))),X3) = multiply(inverse(multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(inverse(b2),b2))),X3) ),
% 2.52/2.89 inference(instr,[status(thm)],['0.343.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.343.2.2',plain,
% 2.52/2.89 ( multiply(inverse(multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(inverse(b2),b2))),X3) = multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))),X3) ),
% 2.52/2.89 inference(instl,[status(thm)],['0.343.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.344.0.0',plain,
% 2.52/2.89 ( multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X4,X3))),multiply(inverse(multiply(multiply(X5,inverse(inverse(inverse(X5)))),multiply(inverse(X6),X6))),multiply(X7,inverse(multiply(multiply(X7,X8),inverse(X8))))))),X9),inverse(X9)) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.79.2.0','0.343.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1.1.2','L')]).
% 2.52/2.89 cnf('0.344.0.1',plain,
% 2.52/2.89 ( multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)) = multiply(multiply(X5,inverse(inverse(inverse(X5)))),multiply(inverse(X6),X6)) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.344.0.0','0.79.2.0',theory(equality)]),
% 2.52/2.89 [pos('R','L')]).
% 2.52/2.89 cnf('0.344.1.0',plain,
% 2.52/2.89 ( multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)) = multiply(multiply(X5,inverse(inverse(inverse(X5)))),multiply(inverse(X6),X6)) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.344.0.1']),
% 2.52/2.89 [weight('<528,343,79,[0,0,0,13]>')]).
% 2.52/2.89 cnf('0.344.2.0',plain,
% 2.52/2.89 ( multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)) = multiply(multiply(X3,inverse(inverse(inverse(X3)))),multiply(inverse(X4),X4)) ),
% 2.52/2.89 inference(activate,[status(thm)],['0.344.1.0']),
% 2.52/2.89 [equation_90]).
% 2.52/2.89 cnf('0.344.2.1',plain,
% 2.52/2.89 ( multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)) = multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(inverse(b2),b2)) ),
% 2.52/2.89 inference(instr,[status(thm)],['0.344.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.344.2.2',plain,
% 2.52/2.89 ( multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(inverse(b2),b2)) = multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)) ),
% 2.52/2.89 inference(instl,[status(thm)],['0.344.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.346.0.0',plain,
% 2.52/2.89 ( multiply(multiply(multiply(X1,inverse(inverse(inverse(X1)))),X2),inverse(X2)) = multiply(multiply(multiply(X3,inverse(inverse(inverse(X3)))),multiply(inverse(X4),X4)),inverse(multiply(inverse(X5),X5))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.10.2.0','0.344.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1','L')]).
% 2.52/2.89 cnf('0.346.1.0',plain,
% 2.52/2.89 ( multiply(multiply(multiply(X1,inverse(inverse(inverse(X1)))),X2),inverse(X2)) = multiply(multiply(multiply(X3,inverse(inverse(inverse(X3)))),multiply(inverse(X4),X4)),inverse(multiply(inverse(X5),X5))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.346.0.0']),
% 2.52/2.89 [weight('<840,344,10,[0,0,0,1]>')]).
% 2.52/2.89 cnf('0.346.2.0',plain,
% 2.52/2.89 ( multiply(multiply(multiply(X1,inverse(inverse(inverse(X1)))),X2),inverse(X2)) = multiply(multiply(multiply(X3,inverse(inverse(inverse(X3)))),multiply(inverse(X4),X4)),inverse(multiply(inverse(X5),X5))) ),
% 2.52/2.89 inference(activate,[status(thm)],['0.346.1.0']),
% 2.52/2.89 [equation_92]).
% 2.52/2.89 cnf('0.346.2.1',plain,
% 2.52/2.89 ( multiply(multiply(multiply(X1,inverse(inverse(inverse(X1)))),X2),inverse(X2)) = multiply(multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(inverse(b2),b2)),inverse(multiply(inverse(b2),b2))) ),
% 2.52/2.89 inference(instr,[status(thm)],['0.346.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.346.2.2',plain,
% 2.52/2.89 ( multiply(multiply(multiply(b2,inverse(inverse(inverse(b2)))),b2),inverse(b2)) = multiply(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)),inverse(multiply(inverse(X3),X3))) ),
% 2.52/2.89 inference(instl,[status(thm)],['0.346.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.374.0.0',plain,
% 2.52/2.89 ( multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))),X3) = multiply(inverse(multiply(inverse(multiply(X4,inverse(inverse(inverse(X4))))),multiply(inverse(X5),X5))),X3) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.256.2.0','0.254.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.2','L')]).
% 2.52/2.89 cnf('0.374.1.0',plain,
% 2.52/2.89 ( multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))),X3) = multiply(inverse(multiply(inverse(multiply(X4,inverse(inverse(inverse(X4))))),multiply(inverse(X5),X5))),X3) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.374.0.0']),
% 2.52/2.89 [weight('<899,256,254,[1,0,0,14]>')]).
% 2.52/2.89 cnf('0.374.2.0',plain,
% 2.52/2.89 ( multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))),X3) = multiply(inverse(multiply(inverse(multiply(X4,inverse(inverse(inverse(X4))))),multiply(inverse(X5),X5))),X3) ),
% 2.52/2.89 inference(activate,[status(thm)],['0.374.1.0']),
% 2.52/2.89 [equation_98]).
% 2.52/2.89 cnf('0.374.2.1',plain,
% 2.52/2.89 ( multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))),X3) = multiply(inverse(multiply(inverse(multiply(b2,inverse(inverse(inverse(b2))))),multiply(inverse(b2),b2))),X3) ),
% 2.52/2.89 inference(instr,[status(thm)],['0.374.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.374.2.2',plain,
% 2.52/2.89 ( multiply(inverse(multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(inverse(b2),b2))),X3) = multiply(inverse(multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),multiply(inverse(X2),X2))),X3) ),
% 2.52/2.89 inference(instl,[status(thm)],['0.374.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.375.0.0',plain,
% 2.52/2.89 ( multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X4,X3))),multiply(inverse(multiply(inverse(multiply(X5,inverse(inverse(inverse(X5))))),multiply(inverse(X6),X6))),multiply(X7,inverse(multiply(multiply(X7,X8),inverse(X8))))))),X9),inverse(X9)) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.79.2.0','0.374.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1.1.2','L')]).
% 2.52/2.89 cnf('0.375.0.1',plain,
% 2.52/2.89 ( multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)) = multiply(inverse(multiply(X5,inverse(inverse(inverse(X5))))),multiply(inverse(X6),X6)) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.375.0.0','0.79.2.0',theory(equality)]),
% 2.52/2.89 [pos('R','L')]).
% 2.52/2.89 cnf('0.375.1.0',plain,
% 2.52/2.89 ( multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)) = multiply(inverse(multiply(X5,inverse(inverse(inverse(X5))))),multiply(inverse(X6),X6)) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.375.0.1']),
% 2.52/2.89 [weight('<575,374,79,[0,0,0,13]>')]).
% 2.52/2.89 cnf('0.375.2.0',plain,
% 2.52/2.89 ( multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)) = multiply(inverse(multiply(X3,inverse(inverse(inverse(X3))))),multiply(inverse(X4),X4)) ),
% 2.52/2.89 inference(activate,[status(thm)],['0.375.1.0']),
% 2.52/2.89 [equation_99]).
% 2.52/2.89 cnf('0.375.2.1',plain,
% 2.52/2.89 ( multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)) = multiply(inverse(multiply(b2,inverse(inverse(inverse(b2))))),multiply(inverse(b2),b2)) ),
% 2.52/2.89 inference(instr,[status(thm)],['0.375.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.375.2.2',plain,
% 2.52/2.89 ( multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(inverse(b2),b2)) = multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),multiply(inverse(X2),X2)) ),
% 2.52/2.89 inference(instl,[status(thm)],['0.375.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.380.0.0',plain,
% 2.52/2.89 ( multiply(multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),X2),inverse(X2)) = multiply(multiply(multiply(X3,inverse(inverse(inverse(X3)))),multiply(inverse(X4),X4)),inverse(multiply(inverse(X5),X5))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.10.2.0','0.375.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1','R')]).
% 2.52/2.89 cnf('0.380.1.0',plain,
% 2.52/2.89 ( multiply(multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),X2),inverse(X2)) = multiply(multiply(multiply(X3,inverse(inverse(inverse(X3)))),multiply(inverse(X4),X4)),inverse(multiply(inverse(X5),X5))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.380.0.0']),
% 2.52/2.89 [weight('<899,375,10,[0,1,0,1]>')]).
% 2.52/2.89 cnf('0.380.1.1',plain,
% 2.52/2.89 ( multiply(multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),X2),inverse(X2)) = multiply(multiply(multiply(b2,inverse(inverse(inverse(b2)))),b2),inverse(b2)) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.380.1.0','0.346.2.2',theory(equality)]),
% 2.52/2.89 [pos('R','R')]).
% 2.52/2.89 cnf('0.380.2.0',plain,
% 2.52/2.89 ( multiply(multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),X2),inverse(X2)) = multiply(multiply(multiply(b2,inverse(inverse(inverse(b2)))),b2),inverse(b2)) ),
% 2.52/2.89 inference(orient,[status(thm)],['0.380.1.1',theory(equality)]),
% 2.52/2.89 [u,rule_277]).
% 2.52/2.89 cnf('0.381.0.0',plain,
% 2.52/2.89 ( inverse(multiply(X1,inverse(inverse(inverse(X1))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(multiply(X4,inverse(X5))),multiply(X4,inverse(multiply(multiply(multiply(b2,inverse(inverse(inverse(b2)))),b2),inverse(b2))))))),X5) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.1.2.0','0.380.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1.2.2.2.1','L')]).
% 2.52/2.89 cnf('0.381.0.1',plain,
% 2.52/2.89 ( inverse(multiply(X1,inverse(inverse(inverse(X1))))) = multiply(b2,inverse(inverse(inverse(b2)))) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.381.0.0','0.16.2.0',theory(equality)]),
% 2.52/2.89 [pos('R','L')]).
% 2.52/2.89 cnf('0.381.1.0',plain,
% 2.52/2.89 ( inverse(multiply(X1,inverse(inverse(inverse(X1))))) = multiply(b2,inverse(inverse(inverse(b2)))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.381.0.1']),
% 2.52/2.89 [weight('<111,380,1,[0,0,0,20]>')]).
% 2.52/2.89 cnf('0.381.2.0',plain,
% 2.52/2.89 ( inverse(multiply(X1,inverse(inverse(inverse(X1))))) = multiply(b2,inverse(inverse(inverse(b2)))) ),
% 2.52/2.89 inference(orient,[status(thm)],['0.381.1.0',theory(equality)]),
% 2.52/2.89 [u,rule_278]).
% 2.52/2.89 cnf('0.382.0.0',plain,
% 2.52/2.89 ( multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),inverse(inverse(inverse(inverse(multiply(X2,inverse(inverse(inverse(X2))))))))) = multiply(b2,inverse(inverse(inverse(b2)))) ),
% 2.52/2.89 inference(interreduction_right,[status(thm)],['0.132.2.0'])).
% 2.52/2.89 cnf('0.382.0.1',plain,
% 2.52/2.89 ( multiply(multiply(b2,inverse(inverse(inverse(b2)))),inverse(inverse(inverse(inverse(multiply(X2,inverse(inverse(inverse(X2))))))))) = multiply(b2,inverse(inverse(inverse(b2)))) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.382.0.0','0.381.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1','L')]).
% 2.52/2.89 cnf('0.382.0.2',plain,
% 2.52/2.89 ( multiply(multiply(b2,inverse(inverse(inverse(b2)))),inverse(inverse(inverse(multiply(b2,inverse(inverse(inverse(b2)))))))) = multiply(b2,inverse(inverse(inverse(b2)))) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.382.0.1','0.381.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.2.1.1.1','L')]).
% 2.52/2.89 cnf('0.382.0.3',plain,
% 2.52/2.89 ( multiply(multiply(b2,inverse(inverse(inverse(b2)))),inverse(inverse(multiply(b2,inverse(inverse(inverse(b2))))))) = multiply(b2,inverse(inverse(inverse(b2)))) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.382.0.2','0.381.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.2.1.1','L')]).
% 2.52/2.89 cnf('0.382.0.4',plain,
% 2.52/2.89 ( multiply(multiply(b2,inverse(inverse(inverse(b2)))),inverse(multiply(b2,inverse(inverse(inverse(b2)))))) = multiply(b2,inverse(inverse(inverse(b2)))) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.382.0.3','0.381.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.2.1','L')]).
% 2.52/2.89 cnf('0.382.0.5',plain,
% 2.52/2.89 ( multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(b2,inverse(inverse(inverse(b2))))) = multiply(b2,inverse(inverse(inverse(b2)))) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.382.0.4','0.381.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.2','L')]).
% 2.52/2.89 cnf('0.382.1.0',plain,
% 2.52/2.89 ( multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(b2,inverse(inverse(inverse(b2))))) = multiply(b2,inverse(inverse(inverse(b2)))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.382.0.5']),
% 2.52/2.89 [weight('<279,132,381,[0,0,0,0]>')]).
% 2.52/2.89 cnf('0.382.2.0',plain,
% 2.52/2.89 ( multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(b2,inverse(inverse(inverse(b2))))) = multiply(b2,inverse(inverse(inverse(b2)))) ),
% 2.52/2.89 inference(orient,[status(thm)],['0.382.1.0',theory(equality)]),
% 2.52/2.89 [u,rule_279]).
% 2.52/2.89 cnf('0.383.0.0',plain,
% 2.52/2.89 ( X1 = multiply(multiply(multiply(b2,inverse(inverse(inverse(b2)))),inverse(multiply(multiply(b2,inverse(inverse(inverse(b2)))),inverse(multiply(b2,inverse(inverse(inverse(b2)))))))),inverse(inverse(X1))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.28.2.0','0.382.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.2.1.1','L')]).
% 2.52/2.89 cnf('0.383.0.1',plain,
% 2.52/2.89 ( X1 = multiply(multiply(multiply(b2,inverse(inverse(inverse(b2)))),inverse(multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(b2,inverse(inverse(inverse(b2))))))),inverse(inverse(X1))) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.383.0.0','0.381.2.0',theory(equality)]),
% 2.52/2.89 [pos('R.1.2.1.2','L')]).
% 2.52/2.89 cnf('0.383.0.2',plain,
% 2.52/2.89 ( X1 = multiply(multiply(multiply(b2,inverse(inverse(inverse(b2)))),inverse(multiply(b2,inverse(inverse(inverse(b2)))))),inverse(inverse(X1))) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.383.0.1','0.382.2.0',theory(equality)]),
% 2.52/2.89 [pos('R.1.2.1','L')]).
% 2.52/2.89 cnf('0.383.0.3',plain,
% 2.52/2.89 ( X1 = multiply(multiply(multiply(b2,inverse(inverse(inverse(b2)))),multiply(b2,inverse(inverse(inverse(b2))))),inverse(inverse(X1))) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.383.0.2','0.381.2.0',theory(equality)]),
% 2.52/2.89 [pos('R.1.2','L')]).
% 2.52/2.89 cnf('0.383.0.4',plain,
% 2.52/2.89 ( X1 = multiply(multiply(b2,inverse(inverse(inverse(b2)))),inverse(inverse(X1))) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.383.0.3','0.382.2.0',theory(equality)]),
% 2.52/2.89 [pos('R.1','L')]).
% 2.52/2.89 cnf('0.383.1.0',plain,
% 2.52/2.89 ( X1 = multiply(multiply(b2,inverse(inverse(inverse(b2)))),inverse(inverse(X1))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.383.0.4']),
% 2.52/2.89 [weight('<131,382,28,[0,0,0,5]>')]).
% 2.52/2.89 cnf('0.383.2.0',plain,
% 2.52/2.89 ( multiply(multiply(b2,inverse(inverse(inverse(b2)))),inverse(inverse(X1))) = X1 ),
% 2.52/2.89 inference(orient,[status(thm)],['0.383.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_280]).
% 2.52/2.89 cnf('0.385.0.0',plain,
% 2.52/2.89 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(inverse(multiply(b2,inverse(inverse(inverse(b2))))),inverse(inverse(inverse(inverse(X1))))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.31.2.0','0.383.2.0',theory(equality)]),
% 2.52/2.89 [pos('R.1','L')]).
% 2.52/2.89 cnf('0.385.0.1',plain,
% 2.52/2.89 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(b2,inverse(inverse(inverse(b2)))),inverse(inverse(inverse(inverse(X1))))) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.385.0.0','0.381.2.0',theory(equality)]),
% 2.52/2.89 [pos('R.1','L')]).
% 2.52/2.89 cnf('0.385.0.2',plain,
% 2.52/2.89 ( multiply(multiply(X1,X2),inverse(X2)) = inverse(inverse(X1)) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.385.0.1','0.383.2.0',theory(equality)]),
% 2.52/2.89 [pos('R','L')]).
% 2.52/2.89 cnf('0.385.1.0',plain,
% 2.52/2.89 ( multiply(multiply(X1,X2),inverse(X2)) = inverse(inverse(X1)) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.385.0.2']),
% 2.52/2.89 [weight('<69,383,31,[0,0,1,1]>')]).
% 2.52/2.89 cnf('0.385.2.0',plain,
% 2.52/2.89 ( multiply(multiply(X1,X2),inverse(X2)) = inverse(inverse(X1)) ),
% 2.52/2.89 inference(orient,[status(thm)],['0.385.1.0',theory(equality)]),
% 2.52/2.89 [u,rule_282]).
% 2.52/2.89 cnf('0.386.0.0',plain,
% 2.52/2.89 ( multiply(multiply(multiply(X1,X2),X3),inverse(X3)) = multiply(multiply(multiply(X1,X4),inverse(X4)),inverse(inverse(X2))) ),
% 2.52/2.89 inference(interreduction_right,[status(thm)],['0.11.2.0'])).
% 2.52/2.89 cnf('0.386.0.1',plain,
% 2.52/2.89 ( inverse(inverse(multiply(X1,X2))) = multiply(multiply(multiply(X1,X4),inverse(X4)),inverse(inverse(X2))) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.386.0.0','0.385.2.0',theory(equality)]),
% 2.52/2.89 [pos('L','L')]).
% 2.52/2.89 cnf('0.386.0.2',plain,
% 2.52/2.89 ( inverse(inverse(multiply(X1,X2))) = multiply(inverse(inverse(X1)),inverse(inverse(X2))) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.386.0.1','0.385.2.0',theory(equality)]),
% 2.52/2.89 [pos('R.1','L')]).
% 2.52/2.89 cnf('0.386.1.0',plain,
% 2.52/2.89 ( inverse(inverse(multiply(X1,X2))) = multiply(inverse(inverse(X1)),inverse(inverse(X2))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.386.0.2']),
% 2.52/2.89 [weight('<103,11,385,[0,0,0,0]>')]).
% 2.52/2.89 cnf('0.386.2.0',plain,
% 2.52/2.89 ( multiply(inverse(inverse(X1)),inverse(inverse(X2))) = inverse(inverse(multiply(X1,X2))) ),
% 2.52/2.89 inference(orient,[status(thm)],['0.386.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_283]).
% 2.52/2.89 cnf('0.387.0.0',plain,
% 2.52/2.89 ( multiply(multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))),inverse(inverse(X3))) = X3 ),
% 2.52/2.89 inference(interreduction_right,[status(thm)],['0.28.2.0'])).
% 2.52/2.89 cnf('0.387.0.1',plain,
% 2.52/2.89 ( multiply(multiply(X1,inverse(inverse(inverse(X1)))),inverse(inverse(X3))) = X3 ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.387.0.0','0.385.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.2.1','L')]).
% 2.52/2.89 cnf('0.387.1.0',plain,
% 2.52/2.89 ( multiply(multiply(X1,inverse(inverse(inverse(X1)))),inverse(inverse(X3))) = X3 ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.387.0.1']),
% 2.52/2.89 [weight('<131,28,385,[0,0,0,0]>')]).
% 2.52/2.89 cnf('0.387.2.0',plain,
% 2.52/2.89 ( multiply(multiply(X1,inverse(inverse(inverse(X1)))),inverse(inverse(X2))) = X2 ),
% 2.52/2.89 inference(orient,[status(thm)],['0.387.1.0',theory(equality)]),
% 2.52/2.89 [u,rule_284]).
% 2.52/2.89 cnf('0.388.0.0',plain,
% 2.52/2.89 ( inverse(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),X2))) = multiply(inverse(multiply(b2,inverse(inverse(inverse(b2))))),inverse(inverse(X2))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.386.2.0','0.381.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1','L')]).
% 2.52/2.89 cnf('0.388.0.1',plain,
% 2.52/2.89 ( inverse(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),X2))) = multiply(multiply(b2,inverse(inverse(inverse(b2)))),inverse(inverse(X2))) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.388.0.0','0.381.2.0',theory(equality)]),
% 2.52/2.89 [pos('R.1','L')]).
% 2.52/2.89 cnf('0.388.0.2',plain,
% 2.52/2.89 ( inverse(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),X2))) = X2 ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.388.0.1','0.383.2.0',theory(equality)]),
% 2.52/2.89 [pos('R','L')]).
% 2.52/2.89 cnf('0.388.1.0',plain,
% 2.52/2.89 ( inverse(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),X2))) = X2 ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.388.0.2']),
% 2.52/2.89 [weight('<131,386,381,[1,0,0,2]>')]).
% 2.52/2.89 cnf('0.388.2.0',plain,
% 2.52/2.89 ( inverse(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),X2))) = X2 ),
% 2.52/2.89 inference(orient,[status(thm)],['0.388.1.0',theory(equality)]),
% 2.52/2.89 [u,rule_285]).
% 2.52/2.89 cnf('0.389.0.0',plain,
% 2.52/2.89 ( multiply(inverse(X1),X1) = inverse(inverse(multiply(multiply(X2,inverse(inverse(inverse(X2)))),multiply(inverse(X3),X3)))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.388.2.0','0.344.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1','L')]).
% 2.52/2.89 cnf('0.389.0.1',plain,
% 2.52/2.89 ( multiply(inverse(X1),X1) = multiply(inverse(X3),X3) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.389.0.0','0.388.2.0',theory(equality)]),
% 2.52/2.89 [pos('R','L')]).
% 2.52/2.89 cnf('0.389.1.0',plain,
% 2.52/2.89 ( multiply(inverse(X1),X1) = multiply(inverse(X3),X3) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.389.0.1']),
% 2.52/2.89 [weight('<80,388,344,[1,0,0,2]>')]).
% 2.52/2.89 cnf('0.389.2.0',plain,
% 2.52/2.89 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 2.52/2.89 inference(activate,[status(thm)],['0.389.1.0']),
% 2.52/2.89 [equation_104]).
% 2.52/2.89 cnf('0.389.2.1',plain,
% 2.52/2.89 ( multiply(inverse(X1),X1) = multiply(inverse(b2),b2) ),
% 2.52/2.89 inference(instr,[status(thm)],['0.389.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.389.2.2',plain,
% 2.52/2.89 ( multiply(inverse(b2),b2) = multiply(inverse(X1),X1) ),
% 2.52/2.89 inference(instl,[status(thm)],['0.389.2.0',theory(equality)])).
% 2.52/2.89 cnf('0.390.0.0',plain,
% 2.52/2.89 ( inverse(inverse(inverse(X1))) = multiply(multiply(inverse(X2),X2),inverse(X1)) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.385.2.0','0.389.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1','L')]).
% 2.52/2.89 cnf('0.390.1.0',plain,
% 2.52/2.89 ( inverse(inverse(inverse(X1))) = multiply(multiply(inverse(X2),X2),inverse(X1)) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.390.0.0']),
% 2.52/2.89 [weight('<95,389,385,[0,0,0,1]>')]).
% 2.52/2.89 cnf('0.390.2.0',plain,
% 2.52/2.89 ( multiply(multiply(inverse(X1),X1),inverse(X2)) = inverse(inverse(inverse(X2))) ),
% 2.52/2.89 inference(orient,[status(thm)],['0.390.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_286]).
% 2.52/2.89 cnf('0.391.0.0',plain,
% 2.52/2.89 ( inverse(inverse(inverse(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),X2))))) = multiply(multiply(inverse(X3),X3),X2) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.390.2.0','0.388.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.2','L')]).
% 2.52/2.89 cnf('0.391.0.1',plain,
% 2.52/2.89 ( inverse(inverse(X2)) = multiply(multiply(inverse(X3),X3),X2) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.391.0.0','0.388.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1','L')]).
% 2.52/2.89 cnf('0.391.1.0',plain,
% 2.52/2.89 ( inverse(inverse(X2)) = multiply(multiply(inverse(X3),X3),X2) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.391.0.1']),
% 2.52/2.89 [weight('<69,390,388,[1,0,0,5]>')]).
% 2.52/2.89 cnf('0.391.2.0',plain,
% 2.52/2.89 ( multiply(multiply(inverse(X1),X1),X2) = inverse(inverse(X2)) ),
% 2.52/2.89 inference(orient,[status(thm)],['0.391.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_287]).
% 2.52/2.89 cnf('0.392.0.0',plain,
% 2.52/2.89 ( inverse(inverse(X1)) = multiply(inverse(inverse(multiply(inverse(X2),X2))),X1) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.391.2.0','0.386.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1','L')]).
% 2.52/2.89 cnf('0.392.1.0',plain,
% 2.52/2.89 ( inverse(inverse(X1)) = multiply(inverse(inverse(multiply(inverse(X2),X2))),X1) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.392.0.0']),
% 2.52/2.89 [weight('<107,391,386,[1,0,0,1]>')]).
% 2.52/2.89 cnf('0.392.2.0',plain,
% 2.52/2.89 ( multiply(inverse(inverse(multiply(inverse(X1),X1))),X2) = inverse(inverse(X2)) ),
% 2.52/2.89 inference(orient,[status(thm)],['0.392.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_288]).
% 2.52/2.89 cnf('0.393.0.0',plain,
% 2.52/2.89 ( X1 = multiply(multiply(inverse(multiply(multiply(X2,inverse(inverse(inverse(X2)))),inverse(inverse(inverse(multiply(inverse(X3),X3)))))),multiply(X1,inverse(X4))),X4) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.255.2.0','0.392.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1.1.2','L')]).
% 2.52/2.89 cnf('0.393.0.1',plain,
% 2.52/2.89 ( X1 = multiply(multiply(inverse(inverse(multiply(inverse(X3),X3))),multiply(X1,inverse(X4))),X4) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.393.0.0','0.387.2.0',theory(equality)]),
% 2.52/2.89 [pos('R.1.1.1','L')]).
% 2.52/2.89 cnf('0.393.0.2',plain,
% 2.52/2.89 ( X1 = multiply(inverse(inverse(multiply(X1,inverse(X4)))),X4) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.393.0.1','0.392.2.0',theory(equality)]),
% 2.52/2.89 [pos('R.1','L')]).
% 2.52/2.89 cnf('0.393.1.0',plain,
% 2.52/2.89 ( X1 = multiply(inverse(inverse(multiply(X1,inverse(X4)))),X4) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.393.0.2']),
% 2.52/2.89 [weight('<89,392,255,[0,0,0,10]>')]).
% 2.52/2.89 cnf('0.393.2.0',plain,
% 2.52/2.89 ( multiply(inverse(inverse(multiply(X1,inverse(X2)))),X2) = X1 ),
% 2.52/2.89 inference(orient,[status(thm)],['0.393.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_289]).
% 2.52/2.89 cnf('0.394.0.0',plain,
% 2.52/2.89 ( multiply(X1,X2) = multiply(inverse(inverse(inverse(inverse(X1)))),X2) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.393.2.0','0.385.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1.1','L')]).
% 2.52/2.89 cnf('0.394.1.0',plain,
% 2.52/2.89 ( multiply(X1,X2) = multiply(inverse(inverse(inverse(inverse(X1)))),X2) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.394.0.0']),
% 2.52/2.89 [weight('<87,393,385,[1,0,0,3]>')]).
% 2.52/2.89 cnf('0.394.2.0',plain,
% 2.52/2.89 ( multiply(inverse(inverse(inverse(inverse(X1)))),X2) = multiply(X1,X2) ),
% 2.52/2.89 inference(orient,[status(thm)],['0.394.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_290]).
% 2.52/2.89 cnf('0.395.0.0',plain,
% 2.52/2.89 ( inverse(inverse(inverse(inverse(X1)))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(multiply(X4,X5)),multiply(X4,inverse(multiply(multiply(X1,inverse(X6)),inverse(X5))))))),X6) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.1.2.0','0.394.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1.2.2.2.1.1','L')]).
% 2.52/2.89 cnf('0.395.0.1',plain,
% 2.52/2.89 ( inverse(inverse(inverse(inverse(X1)))) = X1 ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.395.0.0','0.1.2.0',theory(equality)]),
% 2.52/2.89 [pos('R','L')]).
% 2.52/2.89 cnf('0.395.1.0',plain,
% 2.52/2.89 ( inverse(inverse(inverse(inverse(X1)))) = X1 ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.395.0.1']),
% 2.52/2.89 [weight('<41,394,1,[0,0,0,21]>')]).
% 2.52/2.89 cnf('0.395.2.0',plain,
% 2.52/2.89 ( inverse(inverse(inverse(inverse(X1)))) = X1 ),
% 2.52/2.89 inference(orient,[status(thm)],['0.395.1.0',theory(equality)]),
% 2.52/2.89 [u,rule_291]).
% 2.52/2.89 cnf('0.396.0.0',plain,
% 2.52/2.89 ( inverse(inverse(multiply(X1,inverse(inverse(X2))))) = multiply(inverse(inverse(X1)),X2) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.393.2.0','0.393.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1.1','L')]).
% 2.52/2.89 cnf('0.396.1.0',plain,
% 2.52/2.89 ( inverse(inverse(multiply(X1,inverse(inverse(X2))))) = multiply(inverse(inverse(X1)),X2) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.396.0.0']),
% 2.52/2.89 [weight('<103,393,393,[0,0,0,3]>')]).
% 2.52/2.89 cnf('0.396.2.0',plain,
% 2.52/2.89 ( inverse(inverse(multiply(X1,inverse(inverse(X2))))) = multiply(inverse(inverse(X1)),X2) ),
% 2.52/2.89 inference(orient,[status(thm)],['0.396.1.0',theory(equality)]),
% 2.52/2.89 [u,rule_292]).
% 2.52/2.89 cnf('0.397.0.0',plain,
% 2.52/2.89 ( multiply(inverse(inverse(X1)),inverse(X1)) = inverse(multiply(b2,inverse(inverse(inverse(b2))))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.396.2.0','0.381.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1','L')]).
% 2.52/2.89 cnf('0.397.0.1',plain,
% 2.52/2.89 ( multiply(inverse(inverse(X1)),inverse(X1)) = multiply(b2,inverse(inverse(inverse(b2)))) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.397.0.0','0.381.2.0',theory(equality)]),
% 2.52/2.89 [pos('R','L')]).
% 2.52/2.89 cnf('0.397.1.0',plain,
% 2.52/2.89 ( multiply(inverse(inverse(X1)),inverse(X1)) = multiply(b2,inverse(inverse(inverse(b2)))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.397.0.1']),
% 2.52/2.89 [weight('<90,396,381,[1,0,0,1]>')]).
% 2.52/2.89 cnf('0.397.1.1',plain,
% 2.52/2.89 ( multiply(inverse(b2),b2) = multiply(b2,inverse(inverse(inverse(b2)))) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.397.1.0','0.389.2.1',theory(equality)]),
% 2.52/2.89 [pos('L','L')]).
% 2.52/2.89 cnf('0.397.2.0',plain,
% 2.52/2.89 ( multiply(b2,inverse(inverse(inverse(b2)))) = multiply(inverse(b2),b2) ),
% 2.52/2.89 inference(orient,[status(thm)],['0.397.1.1',theory(equality)]),
% 2.52/2.89 [x,rule_293]).
% 2.52/2.89 cnf('0.398.0.0',plain,
% 2.52/2.89 ( multiply(inverse(b2),b2) = multiply(X1,inverse(inverse(inverse(X1)))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.397.2.0','0.29.2.0',theory(equality)]),
% 2.52/2.89 [pos('L','L')]).
% 2.52/2.89 cnf('0.398.1.0',plain,
% 2.52/2.89 ( multiply(inverse(b2),b2) = multiply(X1,inverse(inverse(inverse(X1)))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.398.0.0']),
% 2.52/2.89 [weight('<76,397,29,[1,0,0,0]>')]).
% 2.52/2.89 cnf('0.398.2.0',plain,
% 2.52/2.89 ( multiply(X1,inverse(inverse(inverse(X1)))) = multiply(inverse(b2),b2) ),
% 2.52/2.89 inference(orient,[status(thm)],['0.398.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_294]).
% 2.52/2.89 cnf('0.399.0.0',plain,
% 2.52/2.89 ( multiply(inverse(b2),b2) = inverse(inverse(inverse(inverse(inverse(multiply(inverse(X1),X1)))))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.398.2.0','0.391.2.0',theory(equality)]),
% 2.52/2.89 [pos('L','L')]).
% 2.52/2.89 cnf('0.399.0.1',plain,
% 2.52/2.89 ( multiply(inverse(b2),b2) = inverse(multiply(inverse(X1),X1)) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.399.0.0','0.395.2.0',theory(equality)]),
% 2.52/2.89 [pos('R','L')]).
% 2.52/2.89 cnf('0.399.1.0',plain,
% 2.52/2.89 ( multiply(inverse(b2),b2) = inverse(multiply(inverse(X1),X1)) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.399.0.1']),
% 2.52/2.89 [weight('<59,398,391,[1,0,0,0]>')]).
% 2.52/2.89 cnf('0.399.2.0',plain,
% 2.52/2.89 ( inverse(multiply(inverse(X1),X1)) = multiply(inverse(b2),b2) ),
% 2.52/2.89 inference(orient,[status(thm)],['0.399.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_295]).
% 2.52/2.89 cnf('0.400.0.0',plain,
% 2.52/2.89 ( inverse(inverse(multiply(inverse(inverse(X1)),X2))) = multiply(X1,inverse(inverse(X2))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.386.2.0','0.395.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1','L')]).
% 2.52/2.89 cnf('0.400.1.0',plain,
% 2.52/2.89 ( inverse(inverse(multiply(inverse(inverse(X1)),X2))) = multiply(X1,inverse(inverse(X2))) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.400.0.0']),
% 2.52/2.89 [weight('<103,395,386,[0,0,0,1]>')]).
% 2.52/2.89 cnf('0.400.2.0',plain,
% 2.52/2.89 ( inverse(inverse(multiply(inverse(inverse(X1)),X2))) = multiply(X1,inverse(inverse(X2))) ),
% 2.52/2.89 inference(orient,[status(thm)],['0.400.1.0',theory(equality)]),
% 2.52/2.89 [u,rule_296]).
% 2.52/2.89 cnf('0.403.0.0',plain,
% 2.52/2.89 ( inverse(inverse(X1)) = multiply(multiply(X1,multiply(inverse(X2),X2)),multiply(inverse(b2),b2)) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.385.2.0','0.399.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.2','L')]).
% 2.52/2.89 cnf('0.403.1.0',plain,
% 2.52/2.89 ( inverse(inverse(X1)) = multiply(multiply(X1,multiply(inverse(X2),X2)),multiply(inverse(b2),b2)) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.403.0.0']),
% 2.52/2.89 [weight('<179,399,385,[0,0,0,4]>')]).
% 2.52/2.89 cnf('0.403.2.0',plain,
% 2.52/2.89 ( multiply(multiply(X1,multiply(inverse(X2),X2)),multiply(inverse(b2),b2)) = inverse(inverse(X1)) ),
% 2.52/2.89 inference(orient,[status(thm)],['0.403.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_299]).
% 2.52/2.89 cnf('0.405.0.0',plain,
% 2.52/2.89 ( inverse(inverse(X1)) = multiply(multiply(X1,multiply(inverse(X2),X2)),multiply(inverse(X3),X3)) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.403.2.0','0.389.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.2','L')]).
% 2.52/2.89 cnf('0.405.1.0',plain,
% 2.52/2.89 ( inverse(inverse(X1)) = multiply(multiply(X1,multiply(inverse(X2),X2)),multiply(inverse(X3),X3)) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.405.0.0']),
% 2.52/2.89 [weight('<179,403,389,[1,0,0,7]>')]).
% 2.52/2.89 cnf('0.405.2.0',plain,
% 2.52/2.89 ( multiply(multiply(X1,multiply(inverse(X2),X2)),multiply(inverse(X3),X3)) = inverse(inverse(X1)) ),
% 2.52/2.89 inference(orient,[status(thm)],['0.405.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_301]).
% 2.52/2.89 cnf('0.420.0.0',plain,
% 2.52/2.89 ( inverse(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)))),multiply(inverse(X3),X3))))) = inverse(inverse(multiply(inverse(X4),X4))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.405.2.0','0.87.2.0',theory(equality)]),
% 2.52/2.89 [pos('L','L')]).
% 2.52/2.89 cnf('0.420.0.1',plain,
% 2.52/2.89 ( inverse(multiply(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)),inverse(inverse(multiply(inverse(X3),X3))))) = inverse(inverse(multiply(inverse(X4),X4))) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.420.0.0','0.400.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1','L')]).
% 2.52/2.89 cnf('0.420.0.2',plain,
% 2.52/2.89 ( inverse(multiply(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)),inverse(multiply(inverse(b2),b2)))) = inverse(inverse(multiply(inverse(X4),X4))) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.420.0.1','0.399.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.2.1','L')]).
% 2.52/2.89 cnf('0.420.0.3',plain,
% 2.52/2.89 ( inverse(multiply(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)),multiply(inverse(b2),b2))) = inverse(inverse(multiply(inverse(X4),X4))) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.420.0.2','0.399.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.2','L')]).
% 2.52/2.89 cnf('0.420.0.4',plain,
% 2.52/2.89 ( inverse(multiply(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)),multiply(inverse(b2),b2))) = inverse(multiply(inverse(b2),b2)) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.420.0.3','0.399.2.0',theory(equality)]),
% 2.52/2.89 [pos('R.1','L')]).
% 2.52/2.89 cnf('0.420.0.5',plain,
% 2.52/2.89 ( inverse(multiply(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)),multiply(inverse(b2),b2))) = multiply(inverse(b2),b2) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.420.0.4','0.399.2.0',theory(equality)]),
% 2.52/2.89 [pos('R','L')]).
% 2.52/2.89 cnf('0.420.1.0',plain,
% 2.52/2.89 ( inverse(multiply(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)),multiply(inverse(b2),b2))) = multiply(inverse(b2),b2) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.420.0.5']),
% 2.52/2.89 [weight('<284,405,87,[1,0,0,0]>')]).
% 2.52/2.89 cnf('0.420.2.0',plain,
% 2.52/2.89 ( inverse(multiply(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)),multiply(inverse(b2),b2))) = multiply(inverse(b2),b2) ),
% 2.52/2.89 inference(orient,[status(thm)],['0.420.1.0',theory(equality)]),
% 2.52/2.89 [u,rule_316]).
% 2.52/2.89 cnf('0.421.0.0',plain,
% 2.52/2.89 ( multiply(inverse(b2),b2) = inverse(multiply(multiply(inverse(multiply(inverse(inverse(inverse(X1))),X1)),multiply(inverse(b2),b2)),multiply(inverse(b2),b2))) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.420.2.0','0.398.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1.2','L')]).
% 2.52/2.89 cnf('0.421.0.1',plain,
% 2.52/2.89 ( multiply(inverse(b2),b2) = inverse(inverse(inverse(inverse(multiply(inverse(inverse(inverse(X1))),X1))))) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.421.0.0','0.405.2.0',theory(equality)]),
% 2.52/2.89 [pos('R.1','L')]).
% 2.52/2.89 cnf('0.421.0.2',plain,
% 2.52/2.89 ( multiply(inverse(b2),b2) = multiply(inverse(inverse(inverse(X1))),X1) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.421.0.1','0.395.2.0',theory(equality)]),
% 2.52/2.89 [pos('R','L')]).
% 2.52/2.89 cnf('0.421.1.0',plain,
% 2.52/2.89 ( multiply(inverse(b2),b2) = multiply(inverse(inverse(inverse(X1))),X1) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.421.0.2']),
% 2.52/2.89 [weight('<76,420,398,[1,0,0,7]>')]).
% 2.52/2.89 cnf('0.421.2.0',plain,
% 2.52/2.89 ( multiply(inverse(inverse(inverse(X1))),X1) = multiply(inverse(b2),b2) ),
% 2.52/2.89 inference(orient,[status(thm)],['0.421.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_317]).
% 2.52/2.89 cnf('0.422.0.0',plain,
% 2.52/2.89 ( inverse(inverse(inverse(inverse(X1)))) = multiply(inverse(inverse(multiply(inverse(b2),b2))),X1) ),
% 2.52/2.89 inference(cp,[status(thm)],['0.393.2.0','0.421.2.0',theory(equality)]),
% 2.52/2.89 [pos('L.1.1.1','L')]).
% 2.52/2.89 cnf('0.422.0.1',plain,
% 2.52/2.89 ( X1 = multiply(inverse(inverse(multiply(inverse(b2),b2))),X1) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.422.0.0','0.395.2.0',theory(equality)]),
% 2.52/2.89 [pos('L','L')]).
% 2.52/2.89 cnf('0.422.0.2',plain,
% 2.52/2.89 ( X1 = multiply(inverse(multiply(inverse(b2),b2)),X1) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.422.0.1','0.399.2.0',theory(equality)]),
% 2.52/2.89 [pos('R.1.1','L')]).
% 2.52/2.89 cnf('0.422.0.3',plain,
% 2.52/2.89 ( X1 = multiply(multiply(inverse(b2),b2),X1) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.422.0.2','0.399.2.0',theory(equality)]),
% 2.52/2.89 [pos('R.1','L')]).
% 2.52/2.89 cnf('0.422.0.4',plain,
% 2.52/2.89 ( X1 = inverse(inverse(X1)) ),
% 2.52/2.89 inference(reduction,[status(thm)],['0.422.0.3','0.391.2.0',theory(equality)]),
% 2.52/2.89 [pos('R','L')]).
% 2.52/2.89 cnf('0.422.1.0',plain,
% 2.52/2.89 ( X1 = inverse(inverse(X1)) ),
% 2.52/2.89 inference(weigh,[status(thm)],['0.422.0.4']),
% 2.52/2.89 [weight('<19,421,393,[0,0,0,3]>')]).
% 2.52/2.89 cnf('0.422.2.0',plain,
% 2.52/2.89 ( inverse(inverse(X1)) = X1 ),
% 2.52/2.89 inference(orient,[status(thm)],['0.422.1.0',theory(equality)]),
% 2.52/2.89 [x,rule_318]).
% 2.52/2.89 cnf('1.0.0.0',conjecture,
% 2.52/2.89 ( multiply(multiply(inverse(b2),b2),a2) = a2 ),
% 2.52/2.89 file('/tmp/WALDMEISTER_14055_n012',conjecture_1)).
% 2.52/2.89 cnf('1.0.0.1',plain,
% 2.52/2.89 ( inverse(inverse(a2)) = a2 ),
% 2.52/2.89 inference(reduction,[status(thm)],['1.0.0.0','0.391.2.0',theory(equality)]),
% 2.52/2.89 [pos('L','L')]).
% 2.52/2.89 cnf('1.0.0.2',plain,
% 2.52/2.89 ( a2 = a2 ),
% 2.52/2.89 inference(reduction,[status(thm)],['1.0.0.1','0.422.2.0',theory(equality)]),
% 2.52/2.89 [pos('L','L')]).
% 2.52/2.89 cnf('1.0.0.3',plain,
% 2.52/2.89 ( $true ),
% 2.52/2.89 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 2.52/2.89 [conjecture_1]).
% 2.52/2.89
% 2.52/2.89 Proved Goals:
% 2.52/2.89 No. 1: multiply(multiply(inverse(b2),b2),a2) ?= a2 joined, current: a2 = a2
% 2.52/2.89 1 goal was specified, which was proved.
% 2.52/2.89 % SZS output end CNFRefutation
% 2.52/2.89 #END OF PROOF
% 2.52/2.89
% 2.52/2.89 Problem WALDMEISTER_14055_n012
% 2.52/2.89 CPs.gen 424652
% 2.52/2.89 CPs.reexp 0
% 2.52/2.89 Select 18469
% 2.52/2.89 R 318
% 2.52/2.89 E 104
% 2.52/2.89 vsize 10.6M
% 2.52/2.89 rss 5.9M
% 2.52/2.89 process.time 1.902s
% 2.52/2.89 wallclock.time 1.902s
% 2.52/2.89 status S
% 2.52/2.89
% 2.52/2.89
% 2.52/2.89 Waldmeister states: Goal proved.
% 2.52/2.89 % SZS status Unsatisfiable
%------------------------------------------------------------------------------