TSTP Solution File: GRP505-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP505-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n023.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 3.71s 4.13s
% Output : CNFRefutation 3.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GRP505-1 : TPTP v8.1.0. Released v2.6.0.
% 0.02/0.09 % Command : woody %s
% 0.09/0.29 % Computer : n023.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Tue Jun 14 10:05:50 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.56/0.93 ********************************************************************************
% 0.56/0.93 * W A L D M E I S T E R \| \ / \|/ *
% 0.56/0.93 * |/ | \/ | *
% 0.56/0.93 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.56/0.93 * A. Jaeger and B. Loechner | | *
% 0.56/0.93 * <waldmeister@informatik.uni-kl.de> | *
% 0.56/0.93 ********************************************************************************
% 0.56/0.93
% 0.56/0.93
% 0.56/0.93 Goals:
% 0.56/0.93 ------
% 0.56/0.93
% 0.56/0.93 ( 1) multiply(inverse(a1),a1) ?=? multiply(inverse(b1),b1)
% 0.56/0.93
% 0.56/0.93 Detected structure: Orkus
% 0.56/0.93 ********************************************************************************
% 0.56/0.93 ****************************** COMPLETION - PROOF ******************************
% 0.56/0.93 ********************************************************************************
% 0.56/0.93
% 3.71/4.13 joined goal: 1 multiply(inverse(a1),a1) ?= multiply(inverse(b1),b1) to multiply(inverse(b1),b1)
% 3.71/4.13 goal joined
% 3.71/4.13 % SZS status Unsatisfiable
% 3.71/4.13 #START OF PROOF
% 3.71/4.13 % SZS output start CNFRefutation
% 3.71/4.13 cnf('0.1.0.0',axiom,
% 3.71/4.13 ( 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) ),
% 3.71/4.13 file('/tmp/WALDMEISTER_2209_n023')).
% 3.71/4.13 cnf('0.1.1.0',plain,
% 3.71/4.13 ( 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) ),
% 3.71/4.13 inference(weigh,[status(thm)],['0.1.0.0']),
% 3.71/4.13 [weight('<0,0,0,[0,0,0,1]>')]).
% 3.71/4.13 cnf('0.1.2.0',plain,
% 3.71/4.13 ( 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 ),
% 3.71/4.13 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 3.71/4.13 [x,rule_1]).
% 3.71/4.13 cnf('0.6.0.0',plain,
% 3.71/4.13 ( 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) ),
% 3.71/4.13 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 3.71/4.13 [pos('L.1.1.2.2.2.1.1','L')]).
% 3.71/4.13 cnf('0.6.1.0',plain,
% 3.71/4.13 ( 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) ),
% 3.71/4.13 inference(weigh,[status(thm)],['0.6.0.0']),
% 3.71/4.13 [weight('<2808,1,1,[0,0,0,21]>')]).
% 3.71/4.13 cnf('0.6.2.0',plain,
% 3.71/4.13 ( 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) ),
% 3.71/4.13 inference(activate,[status(thm)],['0.6.1.0']),
% 3.71/4.13 [equation_1]).
% 3.71/4.13 cnf('0.6.2.1',plain,
% 3.71/4.13 ( 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(b1,b1)),multiply(b1,b1))),multiply(inverse(multiply(b1,b1)),multiply(b1,inverse(multiply(X5,inverse(b1))))))),X6) ),
% 3.71/4.13 inference(instr,[status(thm)],['0.6.2.0',theory(equality)])).
% 3.71/4.13 cnf('0.6.2.2',plain,
% 3.71/4.13 ( inverse(multiply(inverse(multiply(inverse(multiply(b1,b1)),multiply(b1,b1))),multiply(inverse(multiply(b1,b1)),multiply(b1,inverse(multiply(multiply(X5,inverse(inverse(X6))),inverse(b1))))))) = 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) ),
% 3.71/4.13 inference(instl,[status(thm)],['0.6.2.0',theory(equality)])).
% 3.71/4.13 cnf('0.7.0.0',plain,
% 3.71/4.13 ( 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)) ),
% 3.71/4.13 inference(cp,[status(thm)],['0.1.2.0','0.6.2.0',theory(equality)]),
% 3.71/4.13 [pos('L.1','L')]).
% 3.71/4.13 cnf('0.7.1.0',plain,
% 3.71/4.13 ( 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)) ),
% 3.71/4.13 inference(weigh,[status(thm)],['0.7.0.0']),
% 3.71/4.13 [weight('<869,6,1,[0,0,0,1]>')]).
% 3.71/4.13 cnf('0.7.2.0',plain,
% 3.71/4.13 ( 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 ),
% 3.71/4.13 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 3.71/4.13 [x,rule_6]).
% 3.71/4.13 cnf('0.8.0.0',plain,
% 3.71/4.13 ( 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)) ),
% 3.71/4.13 inference(cp,[status(thm)],['0.7.2.0','0.6.2.0',theory(equality)]),
% 3.71/4.13 [pos('L.1.1','L')]).
% 3.71/4.13 cnf('0.8.1.0',plain,
% 3.71/4.13 ( 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)) ),
% 3.71/4.13 inference(weigh,[status(thm)],['0.8.0.0']),
% 3.71/4.13 [weight('<1115,7,6,[1,0,0,2]>')]).
% 3.71/4.13 cnf('0.8.2.0',plain,
% 3.71/4.13 ( 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))) ),
% 3.71/4.13 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 3.71/4.13 [x,rule_7]).
% 3.71/4.13 cnf('0.9.0.0',plain,
% 3.71/4.13 ( multiply(multiply(X1,inverse(X2)),inverse(inverse(X2))) = multiply(multiply(X1,X3),inverse(X3)) ),
% 3.71/4.13 inference(cp,[status(thm)],['0.8.2.0','0.1.2.0',theory(equality)]),
% 3.71/4.13 [pos('L.1.1','L')]).
% 3.71/4.13 cnf('0.9.1.0',plain,
% 3.71/4.13 ( multiply(multiply(X1,inverse(X2)),inverse(inverse(X2))) = multiply(multiply(X1,X3),inverse(X3)) ),
% 3.71/4.13 inference(weigh,[status(thm)],['0.9.0.0']),
% 3.71/4.13 [weight('<224,8,1,[1,0,0,2]>')]).
% 3.71/4.13 cnf('0.9.2.0',plain,
% 3.71/4.13 ( multiply(multiply(X1,inverse(X2)),inverse(inverse(X2))) = multiply(multiply(X1,X3),inverse(X3)) ),
% 3.71/4.13 inference(activate,[status(thm)],['0.9.1.0']),
% 3.71/4.13 [equation_2]).
% 3.71/4.13 cnf('0.9.2.1',plain,
% 3.71/4.13 ( multiply(multiply(X1,inverse(X2)),inverse(inverse(X2))) = multiply(multiply(X1,b1),inverse(b1)) ),
% 3.71/4.13 inference(instr,[status(thm)],['0.9.2.0',theory(equality)])).
% 3.71/4.13 cnf('0.9.2.2',plain,
% 3.71/4.13 ( multiply(multiply(X1,inverse(b1)),inverse(inverse(b1))) = multiply(multiply(X1,X2),inverse(X2)) ),
% 3.71/4.13 inference(instl,[status(thm)],['0.9.2.0',theory(equality)])).
% 3.71/4.13 cnf('0.10.0.0',plain,
% 3.71/4.13 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X1,X3),inverse(X3)) ),
% 3.71/4.13 inference(cp,[status(thm)],['0.9.2.0','0.9.2.0',theory(equality)]),
% 3.71/4.13 [pos('L','L')]).
% 3.71/4.13 cnf('0.10.1.0',plain,
% 3.71/4.13 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X1,X3),inverse(X3)) ),
% 3.71/4.13 inference(weigh,[status(thm)],['0.10.0.0']),
% 3.71/4.13 [weight('<168,9,9,[1,0,0,0]>')]).
% 3.71/4.13 cnf('0.10.2.0',plain,
% 3.71/4.13 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X1,X3),inverse(X3)) ),
% 3.71/4.13 inference(activate,[status(thm)],['0.10.1.0']),
% 3.71/4.13 [equation_3]).
% 3.71/4.13 cnf('0.10.2.1',plain,
% 3.71/4.13 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X1,b1),inverse(b1)) ),
% 3.71/4.13 inference(instr,[status(thm)],['0.10.2.0',theory(equality)])).
% 3.71/4.13 cnf('0.10.2.2',plain,
% 3.71/4.13 ( multiply(multiply(X1,b1),inverse(b1)) = multiply(multiply(X1,X2),inverse(X2)) ),
% 3.71/4.13 inference(instl,[status(thm)],['0.10.2.0',theory(equality)])).
% 3.71/4.13 cnf('0.11.0.0',plain,
% 3.71/4.13 ( multiply(multiply(multiply(X1,X2),X3),inverse(X3)) = multiply(multiply(multiply(X1,X4),inverse(X4)),inverse(inverse(X2))) ),
% 3.71/4.13 inference(cp,[status(thm)],['0.10.2.0','0.10.2.0',theory(equality)]),
% 3.71/4.13 [pos('L.1','L')]).
% 3.71/4.13 cnf('0.11.1.0',plain,
% 3.71/4.13 ( multiply(multiply(multiply(X1,X2),X3),inverse(X3)) = multiply(multiply(multiply(X1,X4),inverse(X4)),inverse(inverse(X2))) ),
% 3.71/4.13 inference(weigh,[status(thm)],['0.11.0.0']),
% 3.71/4.13 [weight('<360,10,10,[0,0,0,1]>')]).
% 3.71/4.13 cnf('0.11.2.0',plain,
% 3.71/4.13 ( multiply(multiply(multiply(X1,X2),X3),inverse(X3)) = multiply(multiply(multiply(X1,X4),inverse(X4)),inverse(inverse(X2))) ),
% 3.71/4.13 inference(activate,[status(thm)],['0.11.1.0']),
% 3.71/4.13 [equation_4]).
% 3.71/4.13 cnf('0.11.2.1',plain,
% 3.71/4.13 ( multiply(multiply(multiply(X1,X2),X3),inverse(X3)) = multiply(multiply(multiply(X1,b1),inverse(b1)),inverse(inverse(X2))) ),
% 3.71/4.13 inference(instr,[status(thm)],['0.11.2.0',theory(equality)])).
% 3.71/4.13 cnf('0.11.2.2',plain,
% 3.71/4.13 ( multiply(multiply(multiply(X1,X3),b1),inverse(b1)) = multiply(multiply(multiply(X1,X2),inverse(X2)),inverse(inverse(X3))) ),
% 3.71/4.13 inference(instl,[status(thm)],['0.11.2.0',theory(equality)])).
% 3.71/4.13 cnf('0.16.0.0',plain,
% 3.71/4.13 ( 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) ),
% 3.71/4.13 inference(cp,[status(thm)],['0.1.2.0','0.10.2.0',theory(equality)]),
% 3.71/4.13 [pos('L.1.1.2.2.2.1','L')]).
% 3.71/4.13 cnf('0.16.1.0',plain,
% 3.71/4.13 ( 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) ),
% 3.71/4.13 inference(weigh,[status(thm)],['0.16.0.0']),
% 3.71/4.13 [weight('<869,10,1,[0,0,0,20]>')]).
% 3.71/4.13 cnf('0.16.2.0',plain,
% 3.71/4.13 ( 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 ),
% 3.71/4.13 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 3.71/4.13 [x,rule_8]).
% 3.71/4.13 cnf('0.19.0.0',plain,
% 3.71/4.13 ( 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)) ),
% 3.71/4.13 inference(cp,[status(thm)],['0.7.2.0','0.10.2.0',theory(equality)]),
% 3.71/4.13 [pos('L.1.1.1.2.2.2.1','L')]).
% 3.71/4.13 cnf('0.19.1.0',plain,
% 3.71/4.13 ( 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)) ),
% 3.71/4.13 inference(weigh,[status(thm)],['0.19.0.0']),
% 3.71/4.13 [weight('<1053,10,7,[0,0,0,21]>')]).
% 3.71/4.13 cnf('0.19.2.0',plain,
% 3.71/4.13 ( 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) ),
% 3.71/4.13 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 3.71/4.13 [x,rule_11]).
% 3.71/4.13 cnf('0.25.0.0',plain,
% 3.71/4.13 ( 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) ),
% 3.71/4.13 inference(cp,[status(thm)],['0.16.2.0','0.10.2.0',theory(equality)]),
% 3.71/4.13 [pos('L.1.1.2.1.1','L')]).
% 3.71/4.13 cnf('0.25.1.0',plain,
% 3.71/4.13 ( 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) ),
% 3.71/4.13 inference(weigh,[status(thm)],['0.25.0.0']),
% 3.71/4.13 [weight('<1121,16,10,[1,0,0,14]>')]).
% 3.71/4.13 cnf('0.25.2.0',plain,
% 3.71/4.13 ( 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 ),
% 3.71/4.13 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 3.71/4.13 [x,rule_14]).
% 3.71/4.13 cnf('0.26.0.0',plain,
% 3.71/4.13 ( 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))) ),
% 3.71/4.13 inference(cp,[status(thm)],['0.25.2.0','0.7.2.0',theory(equality)]),
% 3.71/4.13 [pos('L.1.1.2.2','L')]).
% 3.71/4.13 cnf('0.26.0.1',plain,
% 3.71/4.13 ( X1 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(X8),X8))),multiply(multiply(X1,X10),inverse(X10))) ),
% 3.71/4.13 inference(reduction,[status(thm)],['0.26.0.0','0.7.2.0',theory(equality)]),
% 3.71/4.13 [pos('R.1.1.2.1.1','L')]).
% 3.71/4.13 cnf('0.26.1.0',plain,
% 3.71/4.13 ( X1 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(X8),X8))),multiply(multiply(X1,X10),inverse(X10))) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.26.0.1']),
% 3.71/4.14 [weight('<551,25,7,[1,0,0,20]>')]).
% 3.71/4.14 cnf('0.26.2.0',plain,
% 3.71/4.14 ( multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(X3),X3))),multiply(multiply(X4,X5),inverse(X5))) = X4 ),
% 3.71/4.14 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 3.71/4.14 [x,rule_15]).
% 3.71/4.14 cnf('0.27.0.0',plain,
% 3.71/4.14 ( multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))) = multiply(X3,inverse(multiply(multiply(X3,X4),inverse(X4)))) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.19.2.0','0.26.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1','L')]).
% 3.71/4.14 cnf('0.27.1.0',plain,
% 3.71/4.14 ( multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))) = multiply(X3,inverse(multiply(multiply(X3,X4),inverse(X4)))) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.27.0.0']),
% 3.71/4.14 [weight('<360,26,19,[0,0,0,1]>')]).
% 3.71/4.14 cnf('0.27.2.0',plain,
% 3.71/4.14 ( multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))) = multiply(X3,inverse(multiply(multiply(X3,X4),inverse(X4)))) ),
% 3.71/4.14 inference(activate,[status(thm)],['0.27.1.0']),
% 3.71/4.14 [equation_12]).
% 3.71/4.14 cnf('0.27.2.1',plain,
% 3.71/4.14 ( multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))) = multiply(b1,inverse(multiply(multiply(b1,b1),inverse(b1)))) ),
% 3.71/4.14 inference(instr,[status(thm)],['0.27.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.27.2.2',plain,
% 3.71/4.14 ( multiply(b1,inverse(multiply(multiply(b1,b1),inverse(b1)))) = multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))) ),
% 3.71/4.14 inference(instl,[status(thm)],['0.27.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.28.0.0',plain,
% 3.71/4.14 ( 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))))) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.7.2.0','0.27.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1','L')]).
% 3.71/4.14 cnf('0.28.0.1',plain,
% 3.71/4.14 ( X1 = multiply(multiply(X2,inverse(multiply(multiply(X2,X3),inverse(X3)))),inverse(inverse(X1))) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.28.0.0','0.7.2.0',theory(equality)]),
% 3.71/4.14 [pos('R.2.1.1','L')]).
% 3.71/4.14 cnf('0.28.1.0',plain,
% 3.71/4.14 ( X1 = multiply(multiply(X2,inverse(multiply(multiply(X2,X3),inverse(X3)))),inverse(inverse(X1))) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.28.0.1']),
% 3.71/4.14 [weight('<209,27,7,[0,0,0,1]>')]).
% 3.71/4.14 cnf('0.28.2.0',plain,
% 3.71/4.14 ( multiply(multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))),inverse(inverse(X3))) = X3 ),
% 3.71/4.14 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 3.71/4.14 [x,rule_16]).
% 3.71/4.14 cnf('0.29.0.0',plain,
% 3.71/4.14 ( 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)))) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.8.2.0','0.28.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1','L')]).
% 3.71/4.14 cnf('0.29.0.1',plain,
% 3.71/4.14 ( multiply(X1,inverse(inverse(inverse(X1)))) = multiply(X7,inverse(inverse(inverse(X7)))) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.29.0.0','0.7.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.2.1.1.1','L')]).
% 3.71/4.14 cnf('0.29.1.0',plain,
% 3.71/4.14 ( multiply(X1,inverse(inverse(inverse(X1)))) = multiply(X7,inverse(inverse(inverse(X7)))) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.29.0.1']),
% 3.71/4.14 [weight('<168,28,8,[0,0,0,1]>')]).
% 3.71/4.14 cnf('0.29.2.0',plain,
% 3.71/4.14 ( multiply(X1,inverse(inverse(inverse(X1)))) = multiply(X2,inverse(inverse(inverse(X2)))) ),
% 3.71/4.14 inference(activate,[status(thm)],['0.29.1.0']),
% 3.71/4.14 [equation_13]).
% 3.71/4.14 cnf('0.29.2.1',plain,
% 3.71/4.14 ( multiply(X1,inverse(inverse(inverse(X1)))) = multiply(b1,inverse(inverse(inverse(b1)))) ),
% 3.71/4.14 inference(instr,[status(thm)],['0.29.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.29.2.2',plain,
% 3.71/4.14 ( multiply(b1,inverse(inverse(inverse(b1)))) = multiply(X1,inverse(inverse(inverse(X1)))) ),
% 3.71/4.14 inference(instl,[status(thm)],['0.29.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.30.0.0',plain,
% 3.71/4.14 ( multiply(X1,inverse(inverse(inverse(X1)))) = inverse(multiply(X2,inverse(multiply(multiply(X2,X3),inverse(X3))))) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.29.2.0','0.28.2.0',theory(equality)]),
% 3.71/4.14 [pos('L','L')]).
% 3.71/4.14 cnf('0.30.1.0',plain,
% 3.71/4.14 ( multiply(X1,inverse(inverse(inverse(X1)))) = inverse(multiply(X2,inverse(multiply(multiply(X2,X3),inverse(X3))))) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.30.0.0']),
% 3.71/4.14 [weight('<288,29,28,[1,0,0,0]>')]).
% 3.71/4.14 cnf('0.30.2.0',plain,
% 3.71/4.14 ( multiply(X1,inverse(inverse(inverse(X1)))) = inverse(multiply(X2,inverse(multiply(multiply(X2,X3),inverse(X3))))) ),
% 3.71/4.14 inference(activate,[status(thm)],['0.30.1.0']),
% 3.71/4.14 [equation_14]).
% 3.71/4.14 cnf('0.30.2.1',plain,
% 3.71/4.14 ( multiply(X1,inverse(inverse(inverse(X1)))) = inverse(multiply(b1,inverse(multiply(multiply(b1,b1),inverse(b1))))) ),
% 3.71/4.14 inference(instr,[status(thm)],['0.30.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.30.2.2',plain,
% 3.71/4.14 ( multiply(b1,inverse(inverse(inverse(b1)))) = inverse(multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2))))) ),
% 3.71/4.14 inference(instl,[status(thm)],['0.30.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.31.0.0',plain,
% 3.71/4.14 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X3,inverse(inverse(inverse(X3)))),inverse(inverse(inverse(inverse(X1))))) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.10.2.0','0.29.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1','L')]).
% 3.71/4.14 cnf('0.31.1.0',plain,
% 3.71/4.14 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X3,inverse(inverse(inverse(X3)))),inverse(inverse(inverse(inverse(X1))))) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.31.0.0']),
% 3.71/4.14 [weight('<360,29,10,[0,0,0,1]>')]).
% 3.71/4.14 cnf('0.31.2.0',plain,
% 3.71/4.14 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X3,inverse(inverse(inverse(X3)))),inverse(inverse(inverse(inverse(X1))))) ),
% 3.71/4.14 inference(activate,[status(thm)],['0.31.1.0']),
% 3.71/4.14 [equation_15]).
% 3.71/4.14 cnf('0.31.2.1',plain,
% 3.71/4.14 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(b1,inverse(inverse(inverse(b1)))),inverse(inverse(inverse(inverse(X1))))) ),
% 3.71/4.14 inference(instr,[status(thm)],['0.31.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.31.2.2',plain,
% 3.71/4.14 ( multiply(multiply(X2,b1),inverse(b1)) = multiply(multiply(X1,inverse(inverse(inverse(X1)))),inverse(inverse(inverse(inverse(X2))))) ),
% 3.71/4.14 inference(instl,[status(thm)],['0.31.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.34.0.0',plain,
% 3.71/4.14 ( X1 = multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2)))),multiply(inverse(X4),X4))),multiply(multiply(X1,X5),inverse(X5))) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.26.2.0','0.26.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1.1.1.1','L')]).
% 3.71/4.14 cnf('0.34.1.0',plain,
% 3.71/4.14 ( X1 = multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2)))),multiply(inverse(X4),X4))),multiply(multiply(X1,X5),inverse(X5))) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.34.0.0']),
% 3.71/4.14 [weight('<599,26,26,[0,0,0,4]>')]).
% 3.71/4.14 cnf('0.34.2.0',plain,
% 3.71/4.14 ( multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)))),multiply(inverse(X3),X3))),multiply(multiply(X4,X5),inverse(X5))) = X4 ),
% 3.71/4.14 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 3.71/4.14 [x,rule_18]).
% 3.71/4.14 cnf('0.36.0.0',plain,
% 3.71/4.14 ( 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))) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.11.2.0','0.34.2.0',theory(equality)]),
% 3.71/4.14 [pos('R.1.1','L')]).
% 3.71/4.14 cnf('0.36.0.1',plain,
% 3.71/4.14 ( multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)))),multiply(inverse(X3),X3))),X4),X5),inverse(X5)) = X4 ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.36.0.0','0.28.2.0',theory(equality)]),
% 3.71/4.14 [pos('R','L')]).
% 3.71/4.14 cnf('0.36.1.0',plain,
% 3.71/4.14 ( multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)))),multiply(inverse(X3),X3))),X4),X5),inverse(X5)) = X4 ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.36.0.1']),
% 3.71/4.14 [weight('<599,34,11,[0,0,1,2]>')]).
% 3.71/4.14 cnf('0.36.2.0',plain,
% 3.71/4.14 ( multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)))),multiply(inverse(X3),X3))),X4),X5),inverse(X5)) = X4 ),
% 3.71/4.14 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 3.71/4.14 [u,rule_20]).
% 3.71/4.14 cnf('0.48.0.0',plain,
% 3.71/4.14 ( 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)))))) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.27.2.0','0.28.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.2.1.1','L')]).
% 3.71/4.14 cnf('0.48.1.0',plain,
% 3.71/4.14 ( 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)))))) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.48.0.0']),
% 3.71/4.14 [weight('<728,28,27,[0,0,0,4]>')]).
% 3.71/4.14 cnf('0.48.2.0',plain,
% 3.71/4.14 ( 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)))))) ),
% 3.71/4.14 inference(activate,[status(thm)],['0.48.1.0']),
% 3.71/4.14 [equation_23]).
% 3.71/4.14 cnf('0.48.2.1',plain,
% 3.71/4.14 ( multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))) = multiply(multiply(b1,inverse(multiply(multiply(b1,b1),inverse(b1)))),inverse(multiply(b1,inverse(inverse(inverse(b1)))))) ),
% 3.71/4.14 inference(instr,[status(thm)],['0.48.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.48.2.2',plain,
% 3.71/4.14 ( multiply(b1,inverse(multiply(multiply(b1,b1),inverse(b1)))) = multiply(multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))),inverse(multiply(X3,inverse(inverse(inverse(X3)))))) ),
% 3.71/4.14 inference(instl,[status(thm)],['0.48.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.54.0.0',plain,
% 3.71/4.14 ( 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))) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.10.2.0','0.36.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1','L')]).
% 3.71/4.14 cnf('0.54.1.0',plain,
% 3.71/4.14 ( 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))) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.54.0.0']),
% 3.71/4.14 [weight('<805,36,10,[0,0,0,1]>')]).
% 3.71/4.14 cnf('0.54.2.0',plain,
% 3.71/4.14 ( 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))) ),
% 3.71/4.14 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 3.71/4.14 [u,rule_28]).
% 3.71/4.14 cnf('0.60.0.0',plain,
% 3.71/4.14 ( 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)))) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.36.2.0','0.28.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1','L')]).
% 3.71/4.14 cnf('0.60.1.0',plain,
% 3.71/4.14 ( 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)))) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.60.0.0']),
% 3.71/4.14 [weight('<840,36,28,[1,0,0,1]>')]).
% 3.71/4.14 cnf('0.60.2.0',plain,
% 3.71/4.14 ( 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)))) ),
% 3.71/4.14 inference(activate,[status(thm)],['0.60.1.0']),
% 3.71/4.14 [equation_28]).
% 3.71/4.14 cnf('0.60.2.1',plain,
% 3.71/4.14 ( inverse(multiply(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1)))),multiply(inverse(X3),X3))),X4),inverse(X4))) = multiply(b1,inverse(inverse(inverse(b1)))) ),
% 3.71/4.14 inference(instr,[status(thm)],['0.60.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.60.2.2',plain,
% 3.71/4.14 ( inverse(multiply(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(b1,b1)),multiply(b1,b1)))),multiply(inverse(b1),b1))),b1),inverse(b1))) = multiply(X1,inverse(inverse(inverse(X1)))) ),
% 3.71/4.14 inference(instl,[status(thm)],['0.60.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.61.0.0',plain,
% 3.71/4.14 ( 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))) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.28.2.0','0.60.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1.2','L')]).
% 3.71/4.14 cnf('0.61.1.0',plain,
% 3.71/4.14 ( 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))) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.61.0.0']),
% 3.71/4.14 [weight('<811,60,28,[0,0,0,3]>')]).
% 3.71/4.14 cnf('0.61.2.0',plain,
% 3.71/4.14 ( 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 ),
% 3.71/4.14 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 3.71/4.14 [x,rule_33]).
% 3.71/4.14 cnf('0.70.0.0',plain,
% 3.71/4.14 ( 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)) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.8.2.0','0.28.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1.1.1.1.2.2.2.1','L')]).
% 3.71/4.14 cnf('0.70.0.1',plain,
% 3.71/4.14 ( 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)) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.70.0.0','0.28.2.0',theory(equality)]),
% 3.71/4.14 [pos('L','L')]).
% 3.71/4.14 cnf('0.70.1.0',plain,
% 3.71/4.14 ( 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)) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.70.0.1']),
% 3.71/4.14 [weight('<869,28,8,[0,0,0,22]>')]).
% 3.71/4.14 cnf('0.70.2.0',plain,
% 3.71/4.14 ( 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 ),
% 3.71/4.14 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 3.71/4.14 [x,rule_40]).
% 3.71/4.14 cnf('0.71.0.0',plain,
% 3.71/4.14 ( 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)) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.70.2.0','0.1.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1.1.1.1.2.1.1','L')]).
% 3.71/4.14 cnf('0.71.0.1',plain,
% 3.71/4.14 ( X1 = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(X4),X4))),X1),X10),inverse(X10)) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.71.0.0','0.1.2.0',theory(equality)]),
% 3.71/4.14 [pos('R.1.1.1.1.2.2','L')]).
% 3.71/4.14 cnf('0.71.1.0',plain,
% 3.71/4.14 ( X1 = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(X4),X4))),X1),X10),inverse(X10)) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.71.0.1']),
% 3.71/4.14 [weight('<551,70,1,[1,0,0,16]>')]).
% 3.71/4.14 cnf('0.71.2.0',plain,
% 3.71/4.14 ( multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(X3),X3))),X4),X5),inverse(X5)) = X4 ),
% 3.71/4.14 inference(orient,[status(thm)],['0.71.1.0',theory(equality)]),
% 3.71/4.14 [x,rule_41]).
% 3.71/4.14 cnf('0.79.0.0',plain,
% 3.71/4.14 ( 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)) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.7.2.0','0.48.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1.1.1.2.2','R')]).
% 3.71/4.14 cnf('0.79.0.1',plain,
% 3.71/4.14 ( 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)) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.79.0.0','0.28.2.0',theory(equality)]),
% 3.71/4.14 [pos('R.1.1.1.2.1.1','L')]).
% 3.71/4.14 cnf('0.79.1.0',plain,
% 3.71/4.14 ( 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)) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.79.0.1']),
% 3.71/4.14 [weight('<869,48,7,[0,1,0,18]>')]).
% 3.71/4.14 cnf('0.79.2.0',plain,
% 3.71/4.14 ( 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 ),
% 3.71/4.14 inference(orient,[status(thm)],['0.79.1.0',theory(equality)]),
% 3.71/4.14 [x,rule_48]).
% 3.71/4.14 cnf('0.80.0.0',plain,
% 3.71/4.14 ( 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))) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.61.2.0','0.26.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1.1.1.1.1.1','L')]).
% 3.71/4.14 cnf('0.80.1.0',plain,
% 3.71/4.14 ( 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))) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.80.0.0']),
% 3.71/4.14 [weight('<869,61,26,[1,0,0,6]>')]).
% 3.71/4.14 cnf('0.80.2.0',plain,
% 3.71/4.14 ( 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 ),
% 3.71/4.14 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 3.71/4.14 [x,rule_49]).
% 3.71/4.14 cnf('0.126.0.0',plain,
% 3.71/4.14 ( 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)))))) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.11.2.0','0.30.2.0',theory(equality)]),
% 3.71/4.14 [pos('R.2.1','R')]).
% 3.71/4.14 cnf('0.126.1.0',plain,
% 3.71/4.14 ( 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)))))) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.126.0.0']),
% 3.71/4.14 [weight('<960,30,11,[0,1,1,8]>')]).
% 3.71/4.14 cnf('0.126.2.0',plain,
% 3.71/4.14 ( 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)))))) ),
% 3.71/4.14 inference(activate,[status(thm)],['0.126.1.0']),
% 3.71/4.14 [equation_36]).
% 3.71/4.14 cnf('0.126.2.1',plain,
% 3.71/4.14 ( multiply(multiply(multiply(X1,multiply(X2,inverse(multiply(multiply(X2,X3),inverse(X3))))),X4),inverse(X4)) = multiply(multiply(multiply(X1,b1),inverse(b1)),inverse(multiply(b1,inverse(inverse(inverse(b1)))))) ),
% 3.71/4.14 inference(instr,[status(thm)],['0.126.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.126.2.2',plain,
% 3.71/4.14 ( multiply(multiply(multiply(X1,multiply(b1,inverse(multiply(multiply(b1,b1),inverse(b1))))),b1),inverse(b1)) = multiply(multiply(multiply(X1,X2),inverse(X2)),inverse(multiply(X3,inverse(inverse(inverse(X3)))))) ),
% 3.71/4.14 inference(instl,[status(thm)],['0.126.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.127.0.0',plain,
% 3.71/4.14 ( 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)) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.126.2.0','0.1.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1.1','L')]).
% 3.71/4.14 cnf('0.127.0.1',plain,
% 3.71/4.14 ( 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)) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.127.0.0','0.7.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1','L')]).
% 3.71/4.14 cnf('0.127.1.0',plain,
% 3.71/4.14 ( 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)) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.127.0.1']),
% 3.71/4.14 [weight('<728,126,1,[1,0,0,2]>')]).
% 3.71/4.14 cnf('0.127.1.1',plain,
% 3.71/4.14 ( multiply(multiply(X5,multiply(b1,inverse(inverse(inverse(b1))))),inverse(multiply(X9,inverse(inverse(inverse(X9)))))) = multiply(multiply(X5,X10),inverse(X10)) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.127.1.0','0.30.2.2',theory(equality)]),
% 3.71/4.14 [pos('L.1.2','R')]).
% 3.71/4.14 cnf('0.127.2.0',plain,
% 3.71/4.14 ( multiply(multiply(X1,multiply(b1,inverse(inverse(inverse(b1))))),inverse(multiply(X2,inverse(inverse(inverse(X2)))))) = multiply(multiply(X1,X3),inverse(X3)) ),
% 3.71/4.14 inference(activate,[status(thm)],['0.127.1.1']),
% 3.71/4.14 [equation_37]).
% 3.71/4.14 cnf('0.127.2.1',plain,
% 3.71/4.14 ( multiply(multiply(X1,multiply(b1,inverse(inverse(inverse(b1))))),inverse(multiply(X2,inverse(inverse(inverse(X2)))))) = multiply(multiply(X1,b1),inverse(b1)) ),
% 3.71/4.14 inference(instr,[status(thm)],['0.127.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.127.2.2',plain,
% 3.71/4.14 ( multiply(multiply(X1,multiply(b1,inverse(inverse(inverse(b1))))),inverse(multiply(b1,inverse(inverse(inverse(b1)))))) = multiply(multiply(X1,X2),inverse(X2)) ),
% 3.71/4.14 inference(instl,[status(thm)],['0.127.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.128.0.0',plain,
% 3.71/4.14 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X1,multiply(X3,inverse(inverse(inverse(X3))))),inverse(multiply(X4,inverse(inverse(inverse(X4)))))) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.127.2.0','0.29.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1.2','L')]).
% 3.71/4.14 cnf('0.128.1.0',plain,
% 3.71/4.14 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X1,multiply(X3,inverse(inverse(inverse(X3))))),inverse(multiply(X4,inverse(inverse(inverse(X4)))))) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.128.0.0']),
% 3.71/4.14 [weight('<528,127,29,[1,0,0,3]>')]).
% 3.71/4.14 cnf('0.128.2.0',plain,
% 3.71/4.14 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X1,multiply(X3,inverse(inverse(inverse(X3))))),inverse(multiply(X4,inverse(inverse(inverse(X4)))))) ),
% 3.71/4.14 inference(activate,[status(thm)],['0.128.1.0']),
% 3.71/4.14 [equation_38]).
% 3.71/4.14 cnf('0.128.2.1',plain,
% 3.71/4.14 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X1,multiply(b1,inverse(inverse(inverse(b1))))),inverse(multiply(b1,inverse(inverse(inverse(b1)))))) ),
% 3.71/4.14 inference(instr,[status(thm)],['0.128.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.128.2.2',plain,
% 3.71/4.14 ( multiply(multiply(X1,b1),inverse(b1)) = multiply(multiply(X1,multiply(X2,inverse(inverse(inverse(X2))))),inverse(multiply(X3,inverse(inverse(inverse(X3)))))) ),
% 3.71/4.14 inference(instl,[status(thm)],['0.128.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.130.0.0',plain,
% 3.71/4.14 ( 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))))))) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.10.2.0','0.128.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1','R')]).
% 3.71/4.14 cnf('0.130.1.0',plain,
% 3.71/4.14 ( 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))))))) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.130.0.0']),
% 3.71/4.14 [weight('<840,128,10,[0,1,0,1]>')]).
% 3.71/4.14 cnf('0.130.1.1',plain,
% 3.71/4.14 ( multiply(multiply(multiply(X1,multiply(X2,inverse(inverse(inverse(X2))))),X3),inverse(X3)) = multiply(multiply(multiply(X1,multiply(X5,inverse(inverse(inverse(X5))))),b1),inverse(b1)) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.130.1.0','0.11.2.2',theory(equality)]),
% 3.71/4.14 [pos('R','R')]).
% 3.71/4.14 cnf('0.130.2.0',plain,
% 3.71/4.14 ( multiply(multiply(multiply(X1,multiply(X2,inverse(inverse(inverse(X2))))),X3),inverse(X3)) = multiply(multiply(multiply(X1,multiply(X4,inverse(inverse(inverse(X4))))),b1),inverse(b1)) ),
% 3.71/4.14 inference(activate,[status(thm)],['0.130.1.1']),
% 3.71/4.14 [equation_40]).
% 3.71/4.14 cnf('0.130.2.1',plain,
% 3.71/4.14 ( multiply(multiply(multiply(X1,multiply(X2,inverse(inverse(inverse(X2))))),X3),inverse(X3)) = multiply(multiply(multiply(X1,multiply(b1,inverse(inverse(inverse(b1))))),b1),inverse(b1)) ),
% 3.71/4.14 inference(instr,[status(thm)],['0.130.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.130.2.2',plain,
% 3.71/4.14 ( multiply(multiply(multiply(X1,multiply(b1,inverse(inverse(inverse(b1))))),b1),inverse(b1)) = multiply(multiply(multiply(X1,multiply(X2,inverse(inverse(inverse(X2))))),b1),inverse(b1)) ),
% 3.71/4.14 inference(instl,[status(thm)],['0.130.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.131.0.0',plain,
% 3.71/4.14 ( 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,b1),inverse(b1)) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.130.2.0','0.1.2.0',theory(equality)]),
% 3.71/4.14 [pos('R.1.1','L')]).
% 3.71/4.14 cnf('0.131.0.1',plain,
% 3.71/4.14 ( multiply(multiply(X5,inverse(multiply(X6,inverse(inverse(inverse(X6)))))),inverse(inverse(multiply(X7,inverse(inverse(inverse(X7))))))) = multiply(multiply(X5,b1),inverse(b1)) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.131.0.0','0.8.2.0',theory(equality)]),
% 3.71/4.14 [pos('L','L')]).
% 3.71/4.14 cnf('0.131.1.0',plain,
% 3.71/4.14 ( multiply(multiply(X5,inverse(multiply(X6,inverse(inverse(inverse(X6)))))),inverse(inverse(multiply(X7,inverse(inverse(inverse(X7))))))) = multiply(multiply(X5,b1),inverse(b1)) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.131.0.1']),
% 3.71/4.14 [weight('<474,130,1,[1,1,0,2]>')]).
% 3.71/4.14 cnf('0.131.2.0',plain,
% 3.71/4.14 ( multiply(multiply(X1,inverse(multiply(X2,inverse(inverse(inverse(X2)))))),inverse(inverse(multiply(X3,inverse(inverse(inverse(X3))))))) = multiply(multiply(X1,b1),inverse(b1)) ),
% 3.71/4.14 inference(orient,[status(thm)],['0.131.1.0',theory(equality)]),
% 3.71/4.14 [u,rule_91]).
% 3.71/4.14 cnf('0.132.0.0',plain,
% 3.71/4.14 ( 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))),b1),inverse(b1)),X6),inverse(X6)) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.54.2.0','0.131.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1.1','L')]).
% 3.71/4.14 cnf('0.132.0.1',plain,
% 3.71/4.14 ( multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),inverse(inverse(inverse(inverse(multiply(X2,inverse(inverse(inverse(X2))))))))) = multiply(b1,inverse(inverse(inverse(b1)))) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.132.0.0','0.54.2.0',theory(equality)]),
% 3.71/4.14 [pos('R','L')]).
% 3.71/4.14 cnf('0.132.1.0',plain,
% 3.71/4.14 ( multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),inverse(inverse(inverse(inverse(multiply(X2,inverse(inverse(inverse(X2))))))))) = multiply(b1,inverse(inverse(inverse(b1)))) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.132.0.1']),
% 3.71/4.14 [weight('<474,131,54,[0,0,0,2]>')]).
% 3.71/4.14 cnf('0.132.2.0',plain,
% 3.71/4.14 ( multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),inverse(inverse(inverse(inverse(multiply(X2,inverse(inverse(inverse(X2))))))))) = multiply(b1,inverse(inverse(inverse(b1)))) ),
% 3.71/4.14 inference(orient,[status(thm)],['0.132.1.0',theory(equality)]),
% 3.71/4.14 [u,rule_92]).
% 3.71/4.14 cnf('0.252.0.0',plain,
% 3.71/4.14 ( 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)))) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.80.2.0','0.29.2.0',theory(equality)]),
% 3.71/4.14 [pos('L','L')]).
% 3.71/4.14 cnf('0.252.1.0',plain,
% 3.71/4.14 ( 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)))) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.252.0.0']),
% 3.71/4.14 [weight('<1023,80,29,[1,0,0,0]>')]).
% 3.71/4.14 cnf('0.252.2.0',plain,
% 3.71/4.14 ( 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)))) ),
% 3.71/4.14 inference(activate,[status(thm)],['0.252.1.0']),
% 3.71/4.14 [equation_71]).
% 3.71/4.14 cnf('0.252.2.1',plain,
% 3.71/4.14 ( 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(b1,inverse(inverse(inverse(b1)))) ),
% 3.71/4.14 inference(instr,[status(thm)],['0.252.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.252.2.2',plain,
% 3.71/4.14 ( inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(multiply(b1,b1)),multiply(b1,b1))))),multiply(inverse(b1),b1))),multiply(b1,inverse(inverse(inverse(b1)))))) = multiply(X1,inverse(inverse(inverse(X1)))) ),
% 3.71/4.14 inference(instl,[status(thm)],['0.252.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.253.0.0',plain,
% 3.71/4.14 ( X1 = multiply(inverse(multiply(multiply(X2,inverse(inverse(inverse(X2)))),multiply(inverse(X3),X3))),multiply(multiply(X1,X4),inverse(X4))) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.26.2.0','0.252.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1.1.1','L')]).
% 3.71/4.14 cnf('0.253.1.0',plain,
% 3.71/4.14 ( X1 = multiply(inverse(multiply(multiply(X2,inverse(inverse(inverse(X2)))),multiply(inverse(X3),X3))),multiply(multiply(X1,X4),inverse(X4))) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.253.0.0']),
% 3.71/4.14 [weight('<419,252,26,[0,0,0,3]>')]).
% 3.71/4.14 cnf('0.253.2.0',plain,
% 3.71/4.14 ( multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))),multiply(multiply(X3,X4),inverse(X4))) = X3 ),
% 3.71/4.14 inference(orient,[status(thm)],['0.253.1.0',theory(equality)]),
% 3.71/4.14 [x,rule_182]).
% 3.71/4.14 cnf('0.254.0.0',plain,
% 3.71/4.14 ( X1 = multiply(multiply(multiply(inverse(multiply(multiply(X2,inverse(inverse(inverse(X2)))),multiply(inverse(X3),X3))),X1),X4),inverse(X4)) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.71.2.0','0.252.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1.1.1.1.1','L')]).
% 3.71/4.14 cnf('0.254.1.0',plain,
% 3.71/4.14 ( X1 = multiply(multiply(multiply(inverse(multiply(multiply(X2,inverse(inverse(inverse(X2)))),multiply(inverse(X3),X3))),X1),X4),inverse(X4)) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.254.0.0']),
% 3.71/4.14 [weight('<419,252,71,[0,0,0,5]>')]).
% 3.71/4.14 cnf('0.254.2.0',plain,
% 3.71/4.14 ( multiply(multiply(multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))),X3),X4),inverse(X4)) = X3 ),
% 3.71/4.14 inference(orient,[status(thm)],['0.254.1.0',theory(equality)]),
% 3.71/4.14 [x,rule_183]).
% 3.71/4.14 cnf('0.256.0.0',plain,
% 3.71/4.14 ( X1 = multiply(inverse(multiply(inverse(multiply(X2,inverse(inverse(inverse(X2))))),multiply(inverse(X3),X3))),multiply(multiply(X1,X4),inverse(X4))) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.34.2.0','0.252.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1.1.1.1','L')]).
% 3.71/4.14 cnf('0.256.1.0',plain,
% 3.71/4.14 ( X1 = multiply(inverse(multiply(inverse(multiply(X2,inverse(inverse(inverse(X2))))),multiply(inverse(X3),X3))),multiply(multiply(X1,X4),inverse(X4))) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.256.0.0']),
% 3.71/4.14 [weight('<461,252,34,[0,0,0,4]>')]).
% 3.71/4.14 cnf('0.256.2.0',plain,
% 3.71/4.14 ( multiply(inverse(multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),multiply(inverse(X2),X2))),multiply(multiply(X3,X4),inverse(X4))) = X3 ),
% 3.71/4.14 inference(orient,[status(thm)],['0.256.1.0',theory(equality)]),
% 3.71/4.14 [x,rule_185]).
% 3.71/4.14 cnf('0.343.0.0',plain,
% 3.71/4.14 ( 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) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.253.2.0','0.254.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.2','L')]).
% 3.71/4.14 cnf('0.343.1.0',plain,
% 3.71/4.14 ( 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) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.343.0.0']),
% 3.71/4.14 [weight('<840,254,253,[0,0,0,13]>')]).
% 3.71/4.14 cnf('0.343.2.0',plain,
% 3.71/4.14 ( 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) ),
% 3.71/4.14 inference(activate,[status(thm)],['0.343.1.0']),
% 3.71/4.14 [equation_89]).
% 3.71/4.14 cnf('0.343.2.1',plain,
% 3.71/4.14 ( multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))),X3) = multiply(inverse(multiply(multiply(b1,inverse(inverse(inverse(b1)))),multiply(inverse(b1),b1))),X3) ),
% 3.71/4.14 inference(instr,[status(thm)],['0.343.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.343.2.2',plain,
% 3.71/4.14 ( multiply(inverse(multiply(multiply(b1,inverse(inverse(inverse(b1)))),multiply(inverse(b1),b1))),X3) = multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))),X3) ),
% 3.71/4.14 inference(instl,[status(thm)],['0.343.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.344.0.0',plain,
% 3.71/4.14 ( 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)) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.79.2.0','0.343.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1.1.1.2','L')]).
% 3.71/4.14 cnf('0.344.0.1',plain,
% 3.71/4.14 ( multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)) = multiply(multiply(X5,inverse(inverse(inverse(X5)))),multiply(inverse(X6),X6)) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.344.0.0','0.79.2.0',theory(equality)]),
% 3.71/4.14 [pos('R','L')]).
% 3.71/4.14 cnf('0.344.1.0',plain,
% 3.71/4.14 ( multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)) = multiply(multiply(X5,inverse(inverse(inverse(X5)))),multiply(inverse(X6),X6)) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.344.0.1']),
% 3.71/4.14 [weight('<528,343,79,[0,0,0,13]>')]).
% 3.71/4.14 cnf('0.344.2.0',plain,
% 3.71/4.14 ( multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)) = multiply(multiply(X3,inverse(inverse(inverse(X3)))),multiply(inverse(X4),X4)) ),
% 3.71/4.14 inference(activate,[status(thm)],['0.344.1.0']),
% 3.71/4.14 [equation_90]).
% 3.71/4.14 cnf('0.344.2.1',plain,
% 3.71/4.14 ( multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)) = multiply(multiply(b1,inverse(inverse(inverse(b1)))),multiply(inverse(b1),b1)) ),
% 3.71/4.14 inference(instr,[status(thm)],['0.344.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.344.2.2',plain,
% 3.71/4.14 ( multiply(multiply(b1,inverse(inverse(inverse(b1)))),multiply(inverse(b1),b1)) = multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)) ),
% 3.71/4.14 inference(instl,[status(thm)],['0.344.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.346.0.0',plain,
% 3.71/4.14 ( 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))) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.10.2.0','0.344.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1','L')]).
% 3.71/4.14 cnf('0.346.1.0',plain,
% 3.71/4.14 ( 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))) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.346.0.0']),
% 3.71/4.14 [weight('<840,344,10,[0,0,0,1]>')]).
% 3.71/4.14 cnf('0.346.2.0',plain,
% 3.71/4.14 ( 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))) ),
% 3.71/4.14 inference(activate,[status(thm)],['0.346.1.0']),
% 3.71/4.14 [equation_92]).
% 3.71/4.14 cnf('0.346.2.1',plain,
% 3.71/4.14 ( multiply(multiply(multiply(X1,inverse(inverse(inverse(X1)))),X2),inverse(X2)) = multiply(multiply(multiply(b1,inverse(inverse(inverse(b1)))),multiply(inverse(b1),b1)),inverse(multiply(inverse(b1),b1))) ),
% 3.71/4.14 inference(instr,[status(thm)],['0.346.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.346.2.2',plain,
% 3.71/4.14 ( multiply(multiply(multiply(b1,inverse(inverse(inverse(b1)))),b1),inverse(b1)) = multiply(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)),inverse(multiply(inverse(X3),X3))) ),
% 3.71/4.14 inference(instl,[status(thm)],['0.346.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.374.0.0',plain,
% 3.71/4.14 ( 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) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.256.2.0','0.254.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.2','L')]).
% 3.71/4.14 cnf('0.374.1.0',plain,
% 3.71/4.14 ( 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) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.374.0.0']),
% 3.71/4.14 [weight('<899,256,254,[1,0,0,14]>')]).
% 3.71/4.14 cnf('0.374.2.0',plain,
% 3.71/4.14 ( 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) ),
% 3.71/4.14 inference(activate,[status(thm)],['0.374.1.0']),
% 3.71/4.14 [equation_98]).
% 3.71/4.14 cnf('0.374.2.1',plain,
% 3.71/4.14 ( multiply(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2))),X3) = multiply(inverse(multiply(inverse(multiply(b1,inverse(inverse(inverse(b1))))),multiply(inverse(b1),b1))),X3) ),
% 3.71/4.14 inference(instr,[status(thm)],['0.374.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.374.2.2',plain,
% 3.71/4.14 ( multiply(inverse(multiply(multiply(b1,inverse(inverse(inverse(b1)))),multiply(inverse(b1),b1))),X3) = multiply(inverse(multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),multiply(inverse(X2),X2))),X3) ),
% 3.71/4.14 inference(instl,[status(thm)],['0.374.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.375.0.0',plain,
% 3.71/4.14 ( 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)) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.79.2.0','0.374.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1.1.1.2','L')]).
% 3.71/4.14 cnf('0.375.0.1',plain,
% 3.71/4.14 ( multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)) = multiply(inverse(multiply(X5,inverse(inverse(inverse(X5))))),multiply(inverse(X6),X6)) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.375.0.0','0.79.2.0',theory(equality)]),
% 3.71/4.14 [pos('R','L')]).
% 3.71/4.14 cnf('0.375.1.0',plain,
% 3.71/4.14 ( multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)) = multiply(inverse(multiply(X5,inverse(inverse(inverse(X5))))),multiply(inverse(X6),X6)) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.375.0.1']),
% 3.71/4.14 [weight('<575,374,79,[0,0,0,13]>')]).
% 3.71/4.14 cnf('0.375.2.0',plain,
% 3.71/4.14 ( multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)) = multiply(inverse(multiply(X3,inverse(inverse(inverse(X3))))),multiply(inverse(X4),X4)) ),
% 3.71/4.14 inference(activate,[status(thm)],['0.375.1.0']),
% 3.71/4.14 [equation_99]).
% 3.71/4.14 cnf('0.375.2.1',plain,
% 3.71/4.14 ( multiply(multiply(X1,inverse(inverse(inverse(X1)))),multiply(inverse(X2),X2)) = multiply(inverse(multiply(b1,inverse(inverse(inverse(b1))))),multiply(inverse(b1),b1)) ),
% 3.71/4.14 inference(instr,[status(thm)],['0.375.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.375.2.2',plain,
% 3.71/4.14 ( multiply(multiply(b1,inverse(inverse(inverse(b1)))),multiply(inverse(b1),b1)) = multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),multiply(inverse(X2),X2)) ),
% 3.71/4.14 inference(instl,[status(thm)],['0.375.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.380.0.0',plain,
% 3.71/4.14 ( 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))) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.10.2.0','0.375.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1','R')]).
% 3.71/4.14 cnf('0.380.1.0',plain,
% 3.71/4.14 ( 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))) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.380.0.0']),
% 3.71/4.14 [weight('<899,375,10,[0,1,0,1]>')]).
% 3.71/4.14 cnf('0.380.1.1',plain,
% 3.71/4.14 ( multiply(multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),X2),inverse(X2)) = multiply(multiply(multiply(b1,inverse(inverse(inverse(b1)))),b1),inverse(b1)) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.380.1.0','0.346.2.2',theory(equality)]),
% 3.71/4.14 [pos('R','R')]).
% 3.71/4.14 cnf('0.380.2.0',plain,
% 3.71/4.14 ( multiply(multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),X2),inverse(X2)) = multiply(multiply(multiply(b1,inverse(inverse(inverse(b1)))),b1),inverse(b1)) ),
% 3.71/4.14 inference(orient,[status(thm)],['0.380.1.1',theory(equality)]),
% 3.71/4.14 [u,rule_277]).
% 3.71/4.14 cnf('0.381.0.0',plain,
% 3.71/4.14 ( 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(b1,inverse(inverse(inverse(b1)))),b1),inverse(b1))))))),X5) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.1.2.0','0.380.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1.1.2.2.2.1','L')]).
% 3.71/4.14 cnf('0.381.0.1',plain,
% 3.71/4.14 ( inverse(multiply(X1,inverse(inverse(inverse(X1))))) = multiply(b1,inverse(inverse(inverse(b1)))) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.381.0.0','0.16.2.0',theory(equality)]),
% 3.71/4.14 [pos('R','L')]).
% 3.71/4.14 cnf('0.381.1.0',plain,
% 3.71/4.14 ( inverse(multiply(X1,inverse(inverse(inverse(X1))))) = multiply(b1,inverse(inverse(inverse(b1)))) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.381.0.1']),
% 3.71/4.14 [weight('<111,380,1,[0,0,0,20]>')]).
% 3.71/4.14 cnf('0.381.2.0',plain,
% 3.71/4.14 ( inverse(multiply(X1,inverse(inverse(inverse(X1))))) = multiply(b1,inverse(inverse(inverse(b1)))) ),
% 3.71/4.14 inference(orient,[status(thm)],['0.381.1.0',theory(equality)]),
% 3.71/4.14 [u,rule_278]).
% 3.71/4.14 cnf('0.382.0.0',plain,
% 3.71/4.14 ( multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),inverse(inverse(inverse(inverse(multiply(X2,inverse(inverse(inverse(X2))))))))) = multiply(b1,inverse(inverse(inverse(b1)))) ),
% 3.71/4.14 inference(interreduction_right,[status(thm)],['0.132.2.0'])).
% 3.71/4.14 cnf('0.382.0.1',plain,
% 3.71/4.14 ( multiply(multiply(b1,inverse(inverse(inverse(b1)))),inverse(inverse(inverse(inverse(multiply(X2,inverse(inverse(inverse(X2))))))))) = multiply(b1,inverse(inverse(inverse(b1)))) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.382.0.0','0.381.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1','L')]).
% 3.71/4.14 cnf('0.382.0.2',plain,
% 3.71/4.14 ( multiply(multiply(b1,inverse(inverse(inverse(b1)))),inverse(inverse(inverse(multiply(b1,inverse(inverse(inverse(b1)))))))) = multiply(b1,inverse(inverse(inverse(b1)))) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.382.0.1','0.381.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.2.1.1.1','L')]).
% 3.71/4.14 cnf('0.382.0.3',plain,
% 3.71/4.14 ( multiply(multiply(b1,inverse(inverse(inverse(b1)))),inverse(inverse(multiply(b1,inverse(inverse(inverse(b1))))))) = multiply(b1,inverse(inverse(inverse(b1)))) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.382.0.2','0.381.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.2.1.1','L')]).
% 3.71/4.14 cnf('0.382.0.4',plain,
% 3.71/4.14 ( multiply(multiply(b1,inverse(inverse(inverse(b1)))),inverse(multiply(b1,inverse(inverse(inverse(b1)))))) = multiply(b1,inverse(inverse(inverse(b1)))) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.382.0.3','0.381.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.2.1','L')]).
% 3.71/4.14 cnf('0.382.0.5',plain,
% 3.71/4.14 ( multiply(multiply(b1,inverse(inverse(inverse(b1)))),multiply(b1,inverse(inverse(inverse(b1))))) = multiply(b1,inverse(inverse(inverse(b1)))) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.382.0.4','0.381.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.2','L')]).
% 3.71/4.14 cnf('0.382.1.0',plain,
% 3.71/4.14 ( multiply(multiply(b1,inverse(inverse(inverse(b1)))),multiply(b1,inverse(inverse(inverse(b1))))) = multiply(b1,inverse(inverse(inverse(b1)))) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.382.0.5']),
% 3.71/4.14 [weight('<279,132,381,[0,0,0,0]>')]).
% 3.71/4.14 cnf('0.382.2.0',plain,
% 3.71/4.14 ( multiply(multiply(b1,inverse(inverse(inverse(b1)))),multiply(b1,inverse(inverse(inverse(b1))))) = multiply(b1,inverse(inverse(inverse(b1)))) ),
% 3.71/4.14 inference(orient,[status(thm)],['0.382.1.0',theory(equality)]),
% 3.71/4.14 [u,rule_279]).
% 3.71/4.14 cnf('0.383.0.0',plain,
% 3.71/4.14 ( X1 = multiply(multiply(multiply(b1,inverse(inverse(inverse(b1)))),inverse(multiply(multiply(b1,inverse(inverse(inverse(b1)))),inverse(multiply(b1,inverse(inverse(inverse(b1)))))))),inverse(inverse(X1))) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.28.2.0','0.382.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1.2.1.1','L')]).
% 3.71/4.14 cnf('0.383.0.1',plain,
% 3.71/4.14 ( X1 = multiply(multiply(multiply(b1,inverse(inverse(inverse(b1)))),inverse(multiply(multiply(b1,inverse(inverse(inverse(b1)))),multiply(b1,inverse(inverse(inverse(b1))))))),inverse(inverse(X1))) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.383.0.0','0.381.2.0',theory(equality)]),
% 3.71/4.14 [pos('R.1.2.1.2','L')]).
% 3.71/4.14 cnf('0.383.0.2',plain,
% 3.71/4.14 ( X1 = multiply(multiply(multiply(b1,inverse(inverse(inverse(b1)))),inverse(multiply(b1,inverse(inverse(inverse(b1)))))),inverse(inverse(X1))) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.383.0.1','0.382.2.0',theory(equality)]),
% 3.71/4.14 [pos('R.1.2.1','L')]).
% 3.71/4.14 cnf('0.383.0.3',plain,
% 3.71/4.14 ( X1 = multiply(multiply(multiply(b1,inverse(inverse(inverse(b1)))),multiply(b1,inverse(inverse(inverse(b1))))),inverse(inverse(X1))) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.383.0.2','0.381.2.0',theory(equality)]),
% 3.71/4.14 [pos('R.1.2','L')]).
% 3.71/4.14 cnf('0.383.0.4',plain,
% 3.71/4.14 ( X1 = multiply(multiply(b1,inverse(inverse(inverse(b1)))),inverse(inverse(X1))) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.383.0.3','0.382.2.0',theory(equality)]),
% 3.71/4.14 [pos('R.1','L')]).
% 3.71/4.14 cnf('0.383.1.0',plain,
% 3.71/4.14 ( X1 = multiply(multiply(b1,inverse(inverse(inverse(b1)))),inverse(inverse(X1))) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.383.0.4']),
% 3.71/4.14 [weight('<131,382,28,[0,0,0,5]>')]).
% 3.71/4.14 cnf('0.383.2.0',plain,
% 3.71/4.14 ( multiply(multiply(b1,inverse(inverse(inverse(b1)))),inverse(inverse(X1))) = X1 ),
% 3.71/4.14 inference(orient,[status(thm)],['0.383.1.0',theory(equality)]),
% 3.71/4.14 [x,rule_280]).
% 3.71/4.14 cnf('0.385.0.0',plain,
% 3.71/4.14 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(inverse(multiply(b1,inverse(inverse(inverse(b1))))),inverse(inverse(inverse(inverse(X1))))) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.31.2.0','0.383.2.0',theory(equality)]),
% 3.71/4.14 [pos('R.1','L')]).
% 3.71/4.14 cnf('0.385.0.1',plain,
% 3.71/4.14 ( multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(b1,inverse(inverse(inverse(b1)))),inverse(inverse(inverse(inverse(X1))))) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.385.0.0','0.381.2.0',theory(equality)]),
% 3.71/4.14 [pos('R.1','L')]).
% 3.71/4.14 cnf('0.385.0.2',plain,
% 3.71/4.14 ( multiply(multiply(X1,X2),inverse(X2)) = inverse(inverse(X1)) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.385.0.1','0.383.2.0',theory(equality)]),
% 3.71/4.14 [pos('R','L')]).
% 3.71/4.14 cnf('0.385.1.0',plain,
% 3.71/4.14 ( multiply(multiply(X1,X2),inverse(X2)) = inverse(inverse(X1)) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.385.0.2']),
% 3.71/4.14 [weight('<69,383,31,[0,0,1,1]>')]).
% 3.71/4.14 cnf('0.385.2.0',plain,
% 3.71/4.14 ( multiply(multiply(X1,X2),inverse(X2)) = inverse(inverse(X1)) ),
% 3.71/4.14 inference(orient,[status(thm)],['0.385.1.0',theory(equality)]),
% 3.71/4.14 [u,rule_282]).
% 3.71/4.14 cnf('0.386.0.0',plain,
% 3.71/4.14 ( multiply(multiply(multiply(X1,X2),X3),inverse(X3)) = multiply(multiply(multiply(X1,X4),inverse(X4)),inverse(inverse(X2))) ),
% 3.71/4.14 inference(interreduction_right,[status(thm)],['0.11.2.0'])).
% 3.71/4.14 cnf('0.386.0.1',plain,
% 3.71/4.14 ( inverse(inverse(multiply(X1,X2))) = multiply(multiply(multiply(X1,X4),inverse(X4)),inverse(inverse(X2))) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.386.0.0','0.385.2.0',theory(equality)]),
% 3.71/4.14 [pos('L','L')]).
% 3.71/4.14 cnf('0.386.0.2',plain,
% 3.71/4.14 ( inverse(inverse(multiply(X1,X2))) = multiply(inverse(inverse(X1)),inverse(inverse(X2))) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.386.0.1','0.385.2.0',theory(equality)]),
% 3.71/4.14 [pos('R.1','L')]).
% 3.71/4.14 cnf('0.386.1.0',plain,
% 3.71/4.14 ( inverse(inverse(multiply(X1,X2))) = multiply(inverse(inverse(X1)),inverse(inverse(X2))) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.386.0.2']),
% 3.71/4.14 [weight('<103,11,385,[0,0,0,0]>')]).
% 3.71/4.14 cnf('0.386.2.0',plain,
% 3.71/4.14 ( multiply(inverse(inverse(X1)),inverse(inverse(X2))) = inverse(inverse(multiply(X1,X2))) ),
% 3.71/4.14 inference(orient,[status(thm)],['0.386.1.0',theory(equality)]),
% 3.71/4.14 [x,rule_283]).
% 3.71/4.14 cnf('0.388.0.0',plain,
% 3.71/4.14 ( inverse(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),X2))) = multiply(inverse(multiply(b1,inverse(inverse(inverse(b1))))),inverse(inverse(X2))) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.386.2.0','0.381.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1.1','L')]).
% 3.71/4.14 cnf('0.388.0.1',plain,
% 3.71/4.14 ( inverse(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),X2))) = multiply(multiply(b1,inverse(inverse(inverse(b1)))),inverse(inverse(X2))) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.388.0.0','0.381.2.0',theory(equality)]),
% 3.71/4.14 [pos('R.1','L')]).
% 3.71/4.14 cnf('0.388.0.2',plain,
% 3.71/4.14 ( inverse(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),X2))) = X2 ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.388.0.1','0.383.2.0',theory(equality)]),
% 3.71/4.14 [pos('R','L')]).
% 3.71/4.14 cnf('0.388.1.0',plain,
% 3.71/4.14 ( inverse(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),X2))) = X2 ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.388.0.2']),
% 3.71/4.14 [weight('<131,386,381,[1,0,0,2]>')]).
% 3.71/4.14 cnf('0.388.2.0',plain,
% 3.71/4.14 ( inverse(inverse(multiply(multiply(X1,inverse(inverse(inverse(X1)))),X2))) = X2 ),
% 3.71/4.14 inference(orient,[status(thm)],['0.388.1.0',theory(equality)]),
% 3.71/4.14 [u,rule_285]).
% 3.71/4.14 cnf('0.389.0.0',plain,
% 3.71/4.14 ( multiply(inverse(X1),X1) = inverse(inverse(multiply(multiply(X2,inverse(inverse(inverse(X2)))),multiply(inverse(X3),X3)))) ),
% 3.71/4.14 inference(cp,[status(thm)],['0.388.2.0','0.344.2.0',theory(equality)]),
% 3.71/4.14 [pos('L.1.1','L')]).
% 3.71/4.14 cnf('0.389.0.1',plain,
% 3.71/4.14 ( multiply(inverse(X1),X1) = multiply(inverse(X3),X3) ),
% 3.71/4.14 inference(reduction,[status(thm)],['0.389.0.0','0.388.2.0',theory(equality)]),
% 3.71/4.14 [pos('R','L')]).
% 3.71/4.14 cnf('0.389.1.0',plain,
% 3.71/4.14 ( multiply(inverse(X1),X1) = multiply(inverse(X3),X3) ),
% 3.71/4.14 inference(weigh,[status(thm)],['0.389.0.1']),
% 3.71/4.14 [weight('<80,388,344,[1,0,0,2]>')]).
% 3.71/4.14 cnf('0.389.2.0',plain,
% 3.71/4.14 ( multiply(inverse(X1),X1) = multiply(inverse(X2),X2) ),
% 3.71/4.14 inference(activate,[status(thm)],['0.389.1.0']),
% 3.71/4.14 [equation_104]).
% 3.71/4.14 cnf('0.389.2.1',plain,
% 3.71/4.14 ( multiply(inverse(X1),X1) = multiply(inverse(b1),b1) ),
% 3.71/4.14 inference(instr,[status(thm)],['0.389.2.0',theory(equality)])).
% 3.71/4.14 cnf('0.389.2.2',plain,
% 3.71/4.14 ( multiply(inverse(b1),b1) = multiply(inverse(X1),X1) ),
% 3.71/4.14 inference(instl,[status(thm)],['0.389.2.0',theory(equality)])).
% 3.71/4.14 cnf('1.0.0.0',conjecture,
% 3.71/4.14 ( multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
% 3.71/4.14 file('/tmp/WALDMEISTER_2209_n023',conjecture_1)).
% 3.71/4.14 cnf('1.0.0.1',plain,
% 3.71/4.14 ( multiply(inverse(b1),b1) = multiply(inverse(b1),b1) ),
% 3.71/4.14 inference(reduction,[status(thm)],['1.0.0.0','0.389.2.1',theory(equality)]),
% 3.71/4.14 [pos('L','L')]).
% 3.71/4.14 cnf('1.0.0.2',plain,
% 3.71/4.14 ( $true ),
% 3.71/4.14 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 3.71/4.14 [conjecture_1]).
% 3.71/4.14
% 3.71/4.14 Proved Goals:
% 3.71/4.14 No. 1: multiply(inverse(a1),a1) ?= multiply(inverse(b1),b1) joined, current: multiply(inverse(b1),b1) = multiply(inverse(b1),b1)
% 3.71/4.14 1 goal was specified, which was proved.
% 3.71/4.14 % SZS output end CNFRefutation
% 3.71/4.14 #END OF PROOF
% 3.71/4.14
% 3.71/4.14 Problem WALDMEISTER_2209_n023
% 3.71/4.14 CPs.gen 418364
% 3.71/4.14 CPs.reexp 0
% 3.71/4.14 Select 18335
% 3.71/4.14 R 285
% 3.71/4.14 E 104
% 3.71/4.14 vsize 8.7M
% 3.71/4.14 rss 4.3M
% 3.71/4.14 process.time 3.208s
% 3.71/4.14 wallclock.time 3.215s
% 3.71/4.14 status S
% 3.71/4.14
% 3.71/4.14
% 3.71/4.14 Waldmeister states: Goal proved.
% 3.71/4.14 % SZS status Unsatisfiable
%------------------------------------------------------------------------------