TSTP Solution File: GRP423-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP423-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n008.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 : 300s
% DateTime : Tue Jul 26 07:02:43 EDT 2022
% Result : Unsatisfiable 120.76s 120.92s
% Output : CNFRefutation 120.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 2
% Syntax : Number of clauses : 102 ( 102 unt; 0 nHn; 4 RR)
% Number of literals : 102 ( 101 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 17 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 243 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(B,C))),
file('/tmp/MaedMax_3947') ).
cnf(eq_1,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_3947') ).
cnf(eq_2,plain,
inverse(multiply(inverse(multiply(x100,A)),multiply(x100,x102))) = multiply(inverse(x102),inverse(multiply(inverse(A),multiply(inverse(inverse(multiply(inverse(x102),x102))),inverse(multiply(inverse(inverse(multiply(inverse(x102),x102))),inverse(multiply(inverse(x102),x102)))))))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
inverse(multiply(inverse(multiply(x100,inverse(multiply(A,multiply(inverse(x102),inverse(multiply(inverse(x102),x102))))))),multiply(x100,x102))) = multiply(inverse(multiply(B,inverse(multiply(inverse(A),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(B,C)),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_4,plain,
inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) = multiply(inverse(multiply(x3,inverse(multiply(inverse(B),multiply(inverse(x4),inverse(multiply(inverse(x4),x4))))))),multiply(x3,x4)),
eq_3 ).
cnf(eq_5,plain,
inverse(multiply(inverse(multiply(A,B)),multiply(A,C))) = multiply(inverse(C),inverse(multiply(inverse(B),multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))))),
eq_2 ).
cnf(eq_6,plain,
A = multiply(inverse(multiply(x103,inverse(multiply(inverse(inverse(A)),multiply(inverse(x104),inverse(multiply(inverse(x104),x104))))))),multiply(x103,x104)),
inference(cp,[status(thm)],[eq_0,eq_4]) ).
cnf(eq_7,plain,
multiply(inverse(multiply(x3,inverse(multiply(inverse(B),multiply(inverse(x4),inverse(multiply(inverse(x4),x4))))))),multiply(x3,x4)) = multiply(inverse(multiply(x103,inverse(multiply(inverse(B),multiply(inverse(x104),inverse(multiply(inverse(x104),x104))))))),multiply(x103,x104)),
inference(cp,[status(thm)],[eq_4,eq_4]) ).
cnf(eq_8,plain,
inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))) = B,
inference(cp,[status(thm)],[eq_4,eq_0]) ).
cnf(eq_9,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,C)))),multiply(inverse(C),inverse(multiply(inverse(C),C))))) = B,
inference(cp,[status(thm)],[eq_5,eq_0]) ).
cnf(eq_10,plain,
inverse(multiply(inverse(multiply(A,B)),multiply(A,C))) = inverse(multiply(inverse(multiply(x102,B)),multiply(x102,C))),
inference(cp,[status(thm)],[eq_5,eq_5]) ).
cnf(eq_11,plain,
multiply(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,C)))),multiply(inverse(C),inverse(multiply(inverse(C),C)))) = inverse(multiply(inverse(multiply(x103,inverse(multiply(B,multiply(inverse(x104),inverse(multiply(inverse(x104),x104))))))),multiply(x103,x104))),
inference(cp,[status(thm)],[eq_5,eq_4]) ).
cnf(eq_12,plain,
multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)) = multiply(inverse(multiply(x3,inverse(multiply(inverse(B),multiply(inverse(x4),inverse(multiply(inverse(x4),x4))))))),multiply(x3,x4)),
eq_7 ).
cnf(eq_13,plain,
A = multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(A)),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(B,C)),
eq_6 ).
cnf(eq_14,plain,
A = inverse(multiply(inverse(inverse(multiply(inverse(multiply(B,A)),multiply(B,C)))),multiply(inverse(C),inverse(multiply(inverse(C),C))))),
eq_9 ).
cnf(eq_15,plain,
inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) = multiply(inverse(inverse(multiply(inverse(multiply(x3,B)),multiply(x3,x4)))),multiply(inverse(x4),inverse(multiply(inverse(x4),x4)))),
eq_11 ).
cnf(eq_16,plain,
A = inverse(inverse(multiply(inverse(multiply(B,inverse(multiply(A,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(B,C)))),
eq_8 ).
cnf(eq_17,plain,
inverse(multiply(inverse(multiply(A,B)),multiply(A,C))) = inverse(multiply(inverse(multiply(x3,B)),multiply(x3,C))),
eq_10 ).
cnf(eq_18,plain,
inverse(inverse(multiply(inverse(multiply(x100,inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))))),multiply(x100,x4)))) = inverse(inverse(multiply(inverse(multiply(x3,B)),multiply(x3,x4)))),
inference(cp,[status(thm)],[eq_15,eq_16]) ).
cnf(eq_19,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(x100,x101)),multiply(x100,multiply(x3,C))))),multiply(inverse(multiply(x3,C)),inverse(multiply(inverse(multiply(A,C)),multiply(A,C)))))) = x101,
inference(cp,[status(thm)],[eq_17,eq_14]) ).
cnf(eq_20,plain,
inverse(multiply(inverse(multiply(x100,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(inverse(x102),inverse(multiply(inverse(x102),x102))))))),multiply(x100,x102))) = multiply(inverse(multiply(x3,B)),multiply(x3,C)),
inference(cp,[status(thm)],[eq_17,eq_0]) ).
cnf(eq_21,plain,
multiply(inverse(multiply(x100,inverse(multiply(inverse(inverse(x101)),multiply(inverse(multiply(x3,C)),inverse(multiply(inverse(multiply(A,C)),multiply(A,C)))))))),multiply(x100,multiply(x3,C))) = x101,
inference(cp,[status(thm)],[eq_17,eq_13]) ).
cnf(eq_22,plain,
multiply(inverse(x100),inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))))) = inverse(multiply(inverse(multiply(x102,inverse(multiply(inverse(multiply(x3,B)),multiply(x3,inverse(multiply(inverse(x100),x100))))))),multiply(x102,x100))),
inference(cp,[status(thm)],[eq_15,eq_5]) ).
cnf(eq_23,plain,
inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(multiply(inverse(x3),x3))))))),multiply(A,x3))) = multiply(inverse(x3),C),
inference(rw,[status(thm)],[eq_22,eq_16]) ).
cnf(eq_24,plain,
multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(x3,B)),multiply(x3,C)),
inference(rw,[status(thm)],[eq_20,eq_0]) ).
cnf(eq_25,plain,
A = inverse(multiply(inverse(inverse(multiply(inverse(multiply(B,A)),multiply(B,multiply(C,x3))))),multiply(inverse(multiply(C,x3)),inverse(multiply(inverse(multiply(x4,x3)),multiply(x4,x3)))))),
eq_19 ).
cnf(eq_26,plain,
inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,C)))) = inverse(inverse(multiply(inverse(multiply(x3,B)),multiply(x3,C)))),
inference(rw,[status(thm)],[eq_18,eq_16]) ).
cnf(eq_27,plain,
A = multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(A)),multiply(inverse(multiply(C,x3)),inverse(multiply(inverse(multiply(x4,x3)),multiply(x4,x3)))))))),multiply(B,multiply(C,x3))),
eq_21 ).
cnf(eq_28,plain,
inverse(multiply(inverse(multiply(inverse(multiply(x3,B)),x101)),multiply(inverse(multiply(A,B)),multiply(A,C)))) = inverse(multiply(inverse(multiply(x103,x101)),multiply(x103,multiply(x3,C)))),
inference(cp,[status(thm)],[eq_24,eq_17]) ).
cnf(eq_29,plain,
multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(inverse(multiply(x3,B)),x102)) = multiply(inverse(multiply(x103,multiply(x3,C))),multiply(x103,x102)),
inference(cp,[status(thm)],[eq_17,eq_24]) ).
cnf(eq_30,plain,
multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))),multiply(inverse(multiply(x3,inverse(multiply(inverse(B),multiply(inverse(x4),inverse(multiply(inverse(x4),x4))))))),x102)) = multiply(inverse(multiply(x103,multiply(x3,x4))),multiply(x103,x102)),
inference(cp,[status(thm)],[eq_12,eq_24]) ).
cnf(eq_31,plain,
multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(inverse(multiply(inverse(multiply(x3,B)),multiply(x3,x4)))),x102)) = multiply(inverse(multiply(x103,multiply(inverse(x4),inverse(multiply(inverse(x4),x4))))),multiply(x103,x102)),
inference(cp,[status(thm)],[eq_15,eq_24]) ).
cnf(eq_32,plain,
multiply(inverse(multiply(inverse(multiply(x3,B)),x101)),multiply(inverse(multiply(A,B)),multiply(A,C))) = multiply(inverse(multiply(x103,x101)),multiply(x103,multiply(x3,C))),
inference(cp,[status(thm)],[eq_24,eq_24]) ).
cnf(eq_33,plain,
multiply(inverse(multiply(A,B)),multiply(A,multiply(C,x3))) = multiply(inverse(multiply(inverse(multiply(C,x4)),B)),multiply(inverse(multiply(x5,x4)),multiply(x5,x3))),
eq_32 ).
cnf(eq_34,plain,
multiply(A,multiply(inverse(multiply(B,inverse(multiply(inverse(A),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),x3)) = multiply(inverse(multiply(x4,multiply(B,C))),multiply(x4,x3)),
inference(rw,[status(thm)],[eq_30,eq_0]) ).
cnf(eq_35,plain,
multiply(A,multiply(inverse(inverse(multiply(inverse(multiply(B,A)),multiply(B,C)))),x3)) = multiply(inverse(multiply(x4,multiply(inverse(C),inverse(multiply(inverse(C),C))))),multiply(x4,x3)),
inference(rw,[status(thm)],[eq_31,eq_16]) ).
cnf(eq_36,plain,
multiply(inverse(multiply(A,multiply(B,C))),multiply(A,x3)) = multiply(inverse(multiply(inverse(multiply(x4,x5)),multiply(x4,C))),multiply(inverse(multiply(B,x5)),x3)),
eq_29 ).
cnf(eq_37,plain,
inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(C,x3)))) = inverse(multiply(inverse(multiply(inverse(multiply(C,x4)),B)),multiply(inverse(multiply(x5,x4)),multiply(x5,x3)))),
eq_28 ).
cnf(eq_38,plain,
multiply(inverse(multiply(A,multiply(C,x102))),multiply(A,multiply(C,x3))) = multiply(inverse(multiply(x105,multiply(x5,x102))),multiply(x105,multiply(x5,x3))),
inference(cp,[status(thm)],[eq_33,eq_36]) ).
cnf(eq_39,plain,
multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,x3))) = multiply(inverse(multiply(x4,multiply(x5,C))),multiply(x4,multiply(x5,x3))),
eq_38 ).
cnf(eq_40,plain,
inverse(inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,x3))))) = inverse(inverse(multiply(inverse(multiply(x103,multiply(x5,C))),multiply(x103,multiply(x5,x3))))),
inference(cp,[status(thm)],[eq_39,eq_26]) ).
cnf(eq_41,plain,
inverse(inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,x3))))) = inverse(inverse(multiply(inverse(multiply(x4,multiply(x5,C))),multiply(x4,multiply(x5,x3))))),
eq_40 ).
cnf(eq_42,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(x104,multiply(B,C))),multiply(x104,multiply(B,C))),
inference(cp,[status(thm)],[eq_13,eq_34]) ).
cnf(eq_43,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(B,multiply(C,x3))),multiply(B,multiply(C,x3))),
eq_42 ).
cnf(eq_44,plain,
inverse(inverse(multiply(inverse(A),A))) = inverse(inverse(multiply(inverse(multiply(x104,multiply(x105,x3))),multiply(x104,multiply(x105,x3))))),
inference(cp,[status(thm)],[eq_43,eq_41]) ).
cnf(eq_45,plain,
inverse(multiply(inverse(A),A)) = inverse(multiply(inverse(multiply(x105,multiply(C,x3))),multiply(x105,multiply(C,x3)))),
inference(cp,[status(thm)],[eq_43,eq_37]) ).
cnf(eq_46,plain,
multiply(inverse(A),A) = multiply(inverse(x103),x103),
inference(cp,[status(thm)],[eq_43,eq_43]) ).
cnf(eq_47,plain,
multiply(inverse(A),A) = multiply(inverse(B),B),
eq_46 ).
cnf(eq_48,plain,
inverse(multiply(inverse(A),A)) = inverse(multiply(inverse(multiply(B,multiply(C,x3))),multiply(B,multiply(C,x3)))),
eq_45 ).
cnf(eq_49,plain,
inverse(inverse(multiply(inverse(A),A))) = inverse(inverse(multiply(inverse(multiply(B,multiply(C,x3))),multiply(B,multiply(C,x3))))),
eq_44 ).
cnf(eq_50,plain,
inverse(multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(x101),inverse(multiply(inverse(x101),x101))))) = x101,
inference(cp,[status(thm)],[eq_47,eq_14]) ).
cnf(eq_51,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(x100,x101)),multiply(x100,B)))),multiply(inverse(B),inverse(multiply(inverse(A),A))))) = x101,
inference(cp,[status(thm)],[eq_47,eq_14]) ).
cnf(eq_52,plain,
inverse(multiply(inverse(multiply(x100,inverse(multiply(inverse(x101),multiply(inverse(B),inverse(multiply(inverse(A),A))))))),multiply(x100,B))) = x101,
inference(cp,[status(thm)],[eq_47,eq_0]) ).
cnf(eq_53,plain,
inverse(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(A)),multiply(inverse(multiply(C,x3)),inverse(multiply(inverse(multiply(x4,x3)),multiply(x4,x3)))))))),multiply(B,multiply(C,x3)))),A))) = inverse(inverse(multiply(inverse(x103),x103))),
inference(cp,[status(thm)],[eq_27,eq_49]) ).
cnf(eq_54,plain,
inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(A)),multiply(inverse(multiply(C,x3)),inverse(multiply(inverse(multiply(x4,x3)),multiply(x4,x3)))))))),multiply(B,multiply(C,x3)))),A)) = inverse(multiply(inverse(x103),x103)),
inference(cp,[status(thm)],[eq_27,eq_48]) ).
cnf(eq_55,plain,
multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),x102)) = multiply(inverse(multiply(x103,B)),multiply(x103,x102)),
inference(cp,[status(thm)],[eq_47,eq_24]) ).
cnf(eq_56,plain,
inverse(multiply(inverse(A),A)) = inverse(multiply(inverse(B),B)),
inference(rw,[status(thm)],[eq_54,eq_27]) ).
cnf(eq_57,plain,
multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(inverse(x3),x3)),multiply(inverse(B),C)),
eq_55 ).
cnf(eq_58,plain,
A = inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),multiply(inverse(C),inverse(multiply(inverse(x3),x3))))))),multiply(B,C))),
eq_52 ).
cnf(eq_59,plain,
inverse(inverse(multiply(inverse(A),A))) = inverse(inverse(multiply(inverse(B),B))),
inference(rw,[status(thm)],[eq_53,eq_27]) ).
cnf(eq_60,plain,
A = inverse(multiply(inverse(inverse(multiply(inverse(multiply(B,A)),multiply(B,C)))),multiply(inverse(C),inverse(multiply(inverse(x3),x3))))),
eq_51 ).
cnf(eq_61,plain,
A = inverse(multiply(inverse(inverse(multiply(inverse(B),B))),multiply(inverse(A),inverse(multiply(inverse(A),A))))),
eq_50 ).
cnf(eq_62,plain,
inverse(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(B),B))))) = inverse(inverse(multiply(inverse(x101),x101))),
inference(cp,[status(thm)],[eq_59,eq_59]) ).
cnf(eq_63,plain,
inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),B))) = inverse(multiply(inverse(x101),x101)),
inference(cp,[status(thm)],[eq_56,eq_56]) ).
cnf(eq_64,plain,
inverse(multiply(inverse(inverse(multiply(inverse(x100),x100))),multiply(inverse(B),inverse(multiply(inverse(A),A))))) = B,
inference(cp,[status(thm)],[eq_56,eq_61]) ).
cnf(eq_65,plain,
multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(B),B))) = multiply(inverse(x101),x101),
inference(cp,[status(thm)],[eq_59,eq_47]) ).
cnf(eq_66,plain,
multiply(inverse(A),A) = multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(C),C))),
eq_65 ).
cnf(eq_67,plain,
inverse(multiply(inverse(A),A)) = inverse(multiply(inverse(multiply(inverse(B),B)),multiply(inverse(C),C))),
eq_63 ).
cnf(eq_68,plain,
inverse(inverse(multiply(inverse(A),A))) = inverse(inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(C),C))))),
eq_62 ).
cnf(eq_69,plain,
A = inverse(multiply(inverse(inverse(multiply(inverse(B),B))),multiply(inverse(A),inverse(multiply(inverse(C),C))))),
eq_64 ).
cnf(eq_70,plain,
inverse(multiply(inverse(inverse(multiply(inverse(x100),x100))),multiply(inverse(A),A))) = inverse(multiply(inverse(B),B)),
inference(cp,[status(thm)],[eq_66,eq_69]) ).
cnf(eq_71,plain,
multiply(inverse(B),inverse(multiply(inverse(x101),multiply(inverse(A),A)))) = inverse(multiply(inverse(multiply(x102,x101)),multiply(x102,B))),
inference(cp,[status(thm)],[eq_66,eq_5]) ).
cnf(eq_72,plain,
inverse(multiply(inverse(A),A)) = inverse(multiply(inverse(inverse(multiply(inverse(B),B))),multiply(inverse(C),C))),
eq_70 ).
cnf(eq_73,plain,
inverse(multiply(inverse(multiply(A,B)),multiply(A,C))) = multiply(inverse(C),inverse(multiply(inverse(B),multiply(inverse(x3),x3)))),
eq_71 ).
cnf(eq_74,plain,
inverse(multiply(inverse(A),A)) = multiply(inverse(C),inverse(multiply(inverse(C),multiply(inverse(x103),x103)))),
inference(cp,[status(thm)],[eq_67,eq_73]) ).
cnf(eq_75,plain,
inverse(multiply(inverse(A),A)) = multiply(inverse(B),inverse(multiply(inverse(B),multiply(inverse(C),C)))),
eq_74 ).
cnf(eq_76,plain,
inverse(multiply(inverse(inverse(multiply(inverse(x100),x100))),inverse(multiply(inverse(A),A)))) = multiply(inverse(C),C),
inference(cp,[status(thm)],[eq_75,eq_69]) ).
cnf(eq_77,plain,
multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(A),A))) = inverse(multiply(inverse(x102),x102)),
inference(cp,[status(thm)],[eq_72,eq_75]) ).
cnf(eq_78,plain,
inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(B),B)))) = multiply(inverse(C),C),
eq_76 ).
cnf(eq_79,plain,
inverse(multiply(inverse(A),A)) = multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(C),C))),
eq_77 ).
cnf(eq_80,plain,
inverse(multiply(inverse(C),C)) = inverse(inverse(multiply(inverse(x102),x102))),
inference(cp,[status(thm)],[eq_78,eq_68]) ).
cnf(eq_81,plain,
inverse(inverse(multiply(inverse(A),A))) = multiply(inverse(x102),x102),
inference(cp,[status(thm)],[eq_79,eq_78]) ).
cnf(eq_82,plain,
inverse(inverse(multiply(inverse(A),A))) = inverse(multiply(inverse(B),B)),
eq_80 ).
cnf(eq_83,plain,
inverse(inverse(multiply(inverse(A),A))) = multiply(inverse(B),B),
eq_81 ).
cnf(eq_84,plain,
inverse(multiply(inverse(multiply(x100,inverse(multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(B),inverse(multiply(inverse(x103),x103))))))),multiply(x100,x103))) = multiply(inverse(x103),B),
inference(cp,[status(thm)],[eq_82,eq_23]) ).
cnf(eq_85,plain,
inverse(multiply(inverse(multiply(A,B)),multiply(A,C))) = multiply(inverse(C),B),
inference(rw,[status(thm)],[eq_84,eq_69]) ).
cnf(eq_86,plain,
A = multiply(inverse(inverse(multiply(inverse(B),B))),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_60,eq_85]),eq_85]) ).
cnf(eq_87,plain,
A = multiply(inverse(multiply(inverse(B),B)),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_25,eq_85]),eq_85]),eq_85]) ).
cnf(eq_88,plain,
inverse(multiply(inverse(B),x102)) = multiply(inverse(x102),B),
inference(cp,[status(thm)],[eq_87,eq_85]) ).
cnf(eq_89,plain,
multiply(multiply(inverse(B),B),x101) = x101,
inference(cp,[status(thm)],[eq_83,eq_86]) ).
cnf(eq_90,plain,
multiply(inverse(x101),x102) = multiply(inverse(multiply(x103,x101)),multiply(x103,x102)),
inference(cp,[status(thm)],[eq_87,eq_57]) ).
cnf(eq_91,plain,
multiply(inverse(A),B) = multiply(inverse(multiply(C,A)),multiply(C,B)),
eq_90 ).
cnf(eq_92,plain,
A = multiply(multiply(inverse(B),B),A),
eq_89 ).
cnf(eq_93,plain,
inverse(multiply(inverse(A),B)) = multiply(inverse(B),A),
eq_88 ).
cnf(eq_94,plain,
A = multiply(inverse(multiply(B,C)),multiply(B,multiply(C,A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_58,eq_93]),eq_93]),eq_93]),eq_93]),eq_92]),eq_93]) ).
cnf(eq_95,plain,
multiply(inverse(A),multiply(A,x102)) = x102,
inference(cp,[status(thm)],[eq_91,eq_94]) ).
cnf(eq_96,plain,
A = multiply(inverse(B),multiply(B,A)),
eq_95 ).
cnf(eq_97,plain,
multiply(A,B) = multiply(C,multiply(multiply(inverse(C),A),B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_35,eq_91]),eq_93]),eq_93]),eq_93]),eq_91]),eq_93]),eq_93]),eq_92]) ).
cnf(eq_98,plain,
multiply(B,multiply(A,x102)) = multiply(multiply(B,A),x102),
inference(cp,[status(thm)],[eq_96,eq_97]) ).
cnf(eq_99,plain,
multiply(A,multiply(B,C)) = multiply(multiply(A,B),C),
eq_98 ).
cnf(eq_100,negated_conjecture,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(rw,[status(thm)],[eq_1,eq_99]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP423-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.14 % Command : run_maedmax %d %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Jul 26 04:15:23 EDT 2022
% 0.14/0.35 % CPUTime :
% 120.76/120.92 % SZS status Unsatisfiable
% 120.76/120.92 % SZS output start CNFRefutation for /tmp/MaedMax_3947
% See solution above
% 120.76/120.92
%------------------------------------------------------------------------------