TSTP Solution File: GRP444-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP444-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n003.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 07:02:45 EDT 2022
% Result : Unsatisfiable 16.21s 16.42s
% Output : CNFRefutation 16.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 2
% Syntax : Number of clauses : 103 ( 103 unt; 0 nHn; 9 RR)
% Number of literals : 103 ( 102 equ; 8 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 16 con; 0-2 aty)
% Number of variables : 274 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = inverse(multiply(B,multiply(C,multiply(multiply(D,inverse(D)),inverse(multiply(A,multiply(B,C))))))),
file('/tmp/MaedMax_19011') ).
cnf(eq_1,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_19011') ).
cnf(eq_2,plain,
inverse(multiply(x100,multiply(x101,multiply(multiply(multiply(B,multiply(C,multiply(multiply(D,inverse(D)),inverse(multiply(A,multiply(B,C)))))),A),inverse(multiply(x103,multiply(x100,x101))))))) = x103,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
inverse(multiply(C,multiply(multiply(multiply(D,inverse(D)),inverse(multiply(A,multiply(B,C)))),multiply(multiply(x102,inverse(x102)),A)))) = B,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_4,plain,
A = inverse(multiply(B,multiply(C,multiply(multiply(multiply(D,multiply(x4,multiply(multiply(x5,inverse(x5)),inverse(multiply(x6,multiply(D,x4)))))),x6),inverse(multiply(A,multiply(B,C))))))),
eq_2 ).
cnf(eq_5,plain,
A = inverse(multiply(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,multiply(A,B)))),multiply(multiply(x4,inverse(x4)),D)))),
eq_3 ).
cnf(eq_6,plain,
inverse(multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,multiply(A,B)))),multiply(multiply(multiply(x4,inverse(x4)),D),multiply(multiply(x102,inverse(x102)),A)))) = B,
inference(cp,[status(thm)],[eq_5,eq_0]) ).
cnf(eq_7,plain,
inverse(multiply(x100,multiply(multiply(multiply(multiply(B,multiply(C,multiply(multiply(D,inverse(D)),inverse(multiply(A,multiply(B,C)))))),A),inverse(multiply(x102,multiply(x103,x100)))),multiply(multiply(x104,inverse(x104)),x102)))) = x103,
inference(cp,[status(thm)],[eq_0,eq_5]) ).
cnf(eq_8,plain,
inverse(multiply(multiply(multiply(x4,inverse(x4)),D),multiply(multiply(multiply(x101,inverse(x101)),A),multiply(multiply(x104,inverse(x104)),B)))) = multiply(multiply(C,inverse(C)),inverse(multiply(D,multiply(A,B)))),
inference(cp,[status(thm)],[eq_5,eq_5]) ).
cnf(eq_9,plain,
inverse(multiply(multiply(multiply(multiply(D,multiply(x4,multiply(multiply(x5,inverse(x5)),inverse(multiply(x6,multiply(D,x4)))))),x6),inverse(multiply(A,multiply(B,C)))),multiply(multiply(multiply(x101,inverse(x101)),A),multiply(multiply(x104,inverse(x104)),B)))) = C,
inference(cp,[status(thm)],[eq_4,eq_5]) ).
cnf(eq_10,plain,
A = inverse(multiply(B,multiply(multiply(multiply(multiply(C,multiply(D,multiply(multiply(x4,inverse(x4)),inverse(multiply(x5,multiply(C,D)))))),x5),inverse(multiply(x6,multiply(A,B)))),multiply(multiply(x7,inverse(x7)),x6)))),
eq_7 ).
cnf(eq_11,plain,
A = inverse(multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,multiply(D,A)))),multiply(multiply(multiply(x4,inverse(x4)),C),multiply(multiply(x5,inverse(x5)),D)))),
eq_6 ).
cnf(eq_12,plain,
inverse(multiply(multiply(multiply(A,inverse(A)),B),multiply(multiply(multiply(C,inverse(C)),D),multiply(multiply(x4,inverse(x4)),x5)))) = multiply(multiply(x6,inverse(x6)),inverse(multiply(B,multiply(D,x5)))),
eq_8 ).
cnf(eq_13,plain,
A = inverse(multiply(multiply(multiply(multiply(B,multiply(C,multiply(multiply(D,inverse(D)),inverse(multiply(x4,multiply(B,C)))))),x4),inverse(multiply(x5,multiply(x6,A)))),multiply(multiply(multiply(x7,inverse(x7)),x5),multiply(multiply(x8,inverse(x8)),x6)))),
eq_9 ).
cnf(eq_14,plain,
inverse(multiply(D,multiply(x5,inverse(multiply(multiply(multiply(A,inverse(A)),B),multiply(multiply(multiply(C,inverse(C)),D),multiply(multiply(x4,inverse(x4)),x5))))))) = B,
inference(cp,[status(thm)],[eq_12,eq_0]) ).
cnf(eq_15,plain,
multiply(multiply(x6,inverse(x6)),inverse(multiply(B,multiply(D,x5)))) = multiply(multiply(x106,inverse(x106)),inverse(multiply(B,multiply(D,x5)))),
inference(cp,[status(thm)],[eq_12,eq_12]) ).
cnf(eq_16,plain,
A = multiply(multiply(x106,inverse(x106)),inverse(multiply(inverse(multiply(C,multiply(D,A))),multiply(C,D)))),
inference(cp,[status(thm)],[eq_11,eq_12]) ).
cnf(eq_17,plain,
A = multiply(multiply(x106,inverse(x106)),inverse(multiply(x101,multiply(inverse(multiply(D,multiply(A,multiply(multiply(x100,inverse(x100)),x101)))),D)))),
inference(cp,[status(thm)],[eq_5,eq_12]) ).
cnf(eq_18,plain,
A = inverse(multiply(B,multiply(C,inverse(multiply(multiply(multiply(D,inverse(D)),A),multiply(multiply(multiply(x4,inverse(x4)),B),multiply(multiply(x5,inverse(x5)),C))))))),
eq_14 ).
cnf(eq_19,plain,
A = multiply(multiply(B,inverse(B)),inverse(multiply(inverse(multiply(C,multiply(D,A))),multiply(C,D)))),
eq_16 ).
cnf(eq_20,plain,
A = multiply(multiply(B,inverse(B)),inverse(multiply(C,multiply(inverse(multiply(D,multiply(A,multiply(multiply(x4,inverse(x4)),C)))),D)))),
eq_17 ).
cnf(eq_21,plain,
multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(C,D)))) = multiply(multiply(x4,inverse(x4)),inverse(multiply(B,multiply(C,D)))),
eq_15 ).
cnf(eq_22,plain,
inverse(multiply(inverse(multiply(B,multiply(C,D))),multiply(multiply(multiply(multiply(x101,multiply(x102,multiply(multiply(x103,inverse(x103)),inverse(multiply(x104,multiply(x101,x102)))))),x104),inverse(multiply(x105,multiply(multiply(x4,inverse(x4)),inverse(multiply(B,multiply(C,D))))))),multiply(multiply(x107,inverse(x107)),x105)))) = multiply(A,inverse(A)),
inference(cp,[status(thm)],[eq_21,eq_10]) ).
cnf(eq_23,plain,
inverse(multiply(inverse(multiply(D,multiply(A,multiply(multiply(x102,inverse(x102)),x103)))),multiply(D,A))) = x103,
inference(cp,[status(thm)],[eq_5,eq_18]) ).
cnf(eq_24,plain,
A = inverse(multiply(inverse(multiply(B,multiply(C,multiply(multiply(D,inverse(D)),A)))),multiply(B,C))),
eq_23 ).
cnf(eq_25,plain,
multiply(A,inverse(A)) = multiply(B,inverse(B)),
inference(rw,[status(thm)],[eq_22,eq_10]) ).
cnf(eq_26,plain,
inverse(multiply(inverse(multiply(x100,multiply(x101,multiply(B,inverse(B))))),multiply(x100,x101))) = inverse(multiply(x102,inverse(x102))),
inference(cp,[status(thm)],[eq_25,eq_24]) ).
cnf(eq_27,plain,
multiply(multiply(x100,inverse(x100)),inverse(multiply(inverse(multiply(x101,multiply(B,inverse(B)))),multiply(x101,A)))) = inverse(A),
inference(cp,[status(thm)],[eq_25,eq_19]) ).
cnf(eq_28,plain,
multiply(multiply(x100,inverse(x100)),inverse(multiply(inverse(multiply(A,multiply(inverse(A),x103))),multiply(B,inverse(B))))) = x103,
inference(cp,[status(thm)],[eq_25,eq_19]) ).
cnf(eq_29,plain,
inverse(A) = multiply(multiply(B,inverse(B)),inverse(multiply(inverse(multiply(C,multiply(D,inverse(D)))),multiply(C,A)))),
eq_27 ).
cnf(eq_30,plain,
inverse(multiply(A,inverse(A))) = inverse(multiply(inverse(multiply(B,multiply(C,multiply(D,inverse(D))))),multiply(B,C))),
eq_26 ).
cnf(eq_31,plain,
A = multiply(multiply(B,inverse(B)),inverse(multiply(inverse(multiply(C,multiply(inverse(C),A))),multiply(D,inverse(D))))),
eq_28 ).
cnf(eq_32,plain,
inverse(multiply(inverse(D),multiply(A,multiply(multiply(x104,inverse(x104)),inverse(multiply(C,multiply(inverse(C),A))))))) = D,
inference(cp,[status(thm)],[eq_31,eq_5]) ).
cnf(eq_33,plain,
inverse(multiply(D,multiply(inverse(D),A))) = inverse(multiply(C,multiply(inverse(C),A))),
inference(cp,[status(thm)],[eq_31,eq_0]) ).
cnf(eq_34,plain,
inverse(multiply(C,multiply(A,inverse(A)))) = inverse(multiply(C,multiply(D,inverse(D)))),
inference(cp,[status(thm)],[eq_29,eq_0]) ).
cnf(eq_35,plain,
inverse(multiply(A,multiply(B,inverse(B)))) = inverse(multiply(A,multiply(C,inverse(C)))),
eq_34 ).
cnf(eq_36,plain,
inverse(multiply(A,multiply(inverse(A),B))) = inverse(multiply(C,multiply(inverse(C),B))),
eq_33 ).
cnf(eq_37,plain,
A = inverse(multiply(inverse(A),multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(D,multiply(inverse(D),B))))))),
eq_32 ).
cnf(eq_38,plain,
inverse(multiply(inverse(multiply(C,multiply(inverse(C),B))),multiply(x101,multiply(multiply(x102,inverse(x102)),inverse(multiply(x103,multiply(inverse(x103),x101))))))) = multiply(A,multiply(inverse(A),B)),
inference(cp,[status(thm)],[eq_36,eq_37]) ).
cnf(eq_39,plain,
inverse(multiply(inverse(multiply(A,multiply(B,inverse(B)))),multiply(x101,multiply(multiply(x102,inverse(x102)),inverse(multiply(x103,multiply(inverse(x103),x101))))))) = multiply(A,multiply(C,inverse(C))),
inference(cp,[status(thm)],[eq_35,eq_37]) ).
cnf(eq_40,plain,
inverse(multiply(inverse(multiply(inverse(multiply(B,multiply(C,multiply(D,inverse(D))))),multiply(B,C))),multiply(x101,multiply(multiply(x102,inverse(x102)),inverse(multiply(x103,multiply(inverse(x103),x101))))))) = multiply(A,inverse(A)),
inference(cp,[status(thm)],[eq_30,eq_37]) ).
cnf(eq_41,plain,
inverse(multiply(inverse(x100),multiply(inverse(inverse(inverse(multiply(C,multiply(inverse(C),A))))),A))) = x100,
inference(cp,[status(thm)],[eq_31,eq_37]) ).
cnf(eq_42,plain,
inverse(multiply(x100,multiply(B,inverse(B)))) = inverse(multiply(x102,multiply(inverse(x102),inverse(inverse(x100))))),
inference(cp,[status(thm)],[eq_25,eq_36]) ).
cnf(eq_43,plain,
multiply(A,multiply(inverse(A),B)) = multiply(C,multiply(inverse(C),B)),
inference(rw,[status(thm)],[eq_38,eq_37]) ).
cnf(eq_44,plain,
multiply(A,inverse(A)) = multiply(inverse(multiply(B,multiply(C,multiply(D,inverse(D))))),multiply(B,C)),
inference(rw,[status(thm)],[eq_40,eq_37]) ).
cnf(eq_45,plain,
inverse(multiply(A,multiply(B,inverse(B)))) = inverse(multiply(C,multiply(inverse(C),inverse(inverse(A))))),
eq_42 ).
cnf(eq_46,plain,
multiply(A,multiply(B,inverse(B))) = multiply(A,multiply(C,inverse(C))),
inference(rw,[status(thm)],[eq_39,eq_37]) ).
cnf(eq_47,plain,
A = inverse(multiply(inverse(A),multiply(inverse(inverse(inverse(multiply(B,multiply(inverse(B),C))))),C))),
eq_41 ).
cnf(eq_48,plain,
inverse(multiply(inverse(multiply(A,multiply(B,inverse(B)))),multiply(x101,multiply(multiply(x102,inverse(x102)),inverse(multiply(x103,multiply(inverse(x103),x101))))))) = multiply(C,multiply(inverse(C),inverse(inverse(A)))),
inference(cp,[status(thm)],[eq_45,eq_37]) ).
cnf(eq_49,plain,
multiply(multiply(x100,inverse(x100)),inverse(multiply(inverse(multiply(x101,multiply(A,inverse(A)))),multiply(x101,inverse(multiply(B,multiply(C,multiply(D,inverse(D))))))))) = multiply(B,C),
inference(cp,[status(thm)],[eq_44,eq_19]) ).
cnf(eq_50,plain,
inverse(multiply(inverse(x100),multiply(inverse(inverse(inverse(multiply(x101,multiply(inverse(x101),multiply(B,inverse(B))))))),multiply(C,inverse(C))))) = x100,
inference(cp,[status(thm)],[eq_46,eq_47]) ).
cnf(eq_51,plain,
multiply(A,multiply(B,inverse(B))) = multiply(C,multiply(inverse(C),inverse(inverse(A)))),
inference(rw,[status(thm)],[eq_48,eq_37]) ).
cnf(eq_52,plain,
inverse(inverse(multiply(A,multiply(B,multiply(C,inverse(C)))))) = multiply(A,B),
inference(rw,[status(thm)],[eq_49,eq_29]) ).
cnf(eq_53,plain,
inverse(A) = multiply(inverse(A),inverse(inverse(inverse(multiply(B,multiply(inverse(B),multiply(x102,inverse(x102)))))))),
inference(cp,[status(thm)],[eq_47,eq_52]) ).
cnf(eq_54,plain,
inverse(inverse(multiply(x100,multiply(A,multiply(inverse(A),inverse(inverse(C))))))) = multiply(x100,C),
inference(cp,[status(thm)],[eq_43,eq_52]) ).
cnf(eq_55,plain,
inverse(multiply(inverse(x100),multiply(C,multiply(inverse(C),inverse(inverse(inverse(inverse(inverse(multiply(x101,multiply(inverse(x101),multiply(B,inverse(B))))))))))))) = x100,
inference(cp,[status(thm)],[eq_51,eq_47]) ).
cnf(eq_56,plain,
inverse(inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(inverse(C))))))) = multiply(A,C),
eq_54 ).
cnf(eq_57,plain,
A = inverse(multiply(inverse(A),multiply(B,multiply(inverse(B),inverse(inverse(inverse(multiply(C,inverse(C))))))))),
inference(rw,[status(thm)],[eq_55,eq_52]) ).
cnf(eq_58,plain,
A = inverse(multiply(inverse(A),multiply(inverse(multiply(B,inverse(B))),multiply(C,inverse(C))))),
inference(rw,[status(thm)],[eq_50,eq_52]) ).
cnf(eq_59,plain,
inverse(A) = multiply(inverse(A),inverse(multiply(B,inverse(B)))),
inference(rw,[status(thm)],[eq_53,eq_52]) ).
cnf(eq_60,plain,
A = multiply(x102,multiply(x103,multiply(multiply(x104,inverse(x104)),inverse(multiply(multiply(inverse(A),inverse(multiply(B,inverse(B)))),multiply(x102,x103)))))),
inference(cp,[status(thm)],[eq_58,eq_4]) ).
cnf(eq_61,plain,
inverse(multiply(inverse(x100),multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(multiply(B,inverse(B)))))) = x100,
inference(cp,[status(thm)],[eq_59,eq_47]) ).
cnf(eq_62,plain,
inverse(inverse(multiply(A,multiply(inverse(A),multiply(inverse(inverse(C)),inverse(inverse(x102))))))) = multiply(C,x102),
inference(cp,[status(thm)],[eq_43,eq_56]) ).
cnf(eq_63,plain,
inverse(inverse(multiply(x100,multiply(x101,multiply(inverse(x101),inverse(inverse(multiply(C,multiply(inverse(C),B))))))))) = multiply(x100,multiply(A,multiply(inverse(A),B))),
inference(cp,[status(thm)],[eq_36,eq_56]) ).
cnf(eq_64,plain,
multiply(A,inverse(multiply(x101,inverse(x101)))) = inverse(multiply(multiply(multiply(multiply(B,multiply(C,multiply(multiply(D,inverse(D)),inverse(multiply(x4,multiply(B,C)))))),x4),inverse(multiply(x5,multiply(x6,A)))),multiply(multiply(multiply(x7,inverse(x7)),x5),multiply(multiply(x8,inverse(x8)),x6)))),
inference(cp,[status(thm)],[eq_13,eq_59]) ).
cnf(eq_65,plain,
A = inverse(multiply(inverse(A),multiply(inverse(inverse(inverse(multiply(B,inverse(B))))),inverse(multiply(C,inverse(C)))))),
eq_61 ).
cnf(eq_66,plain,
A = multiply(A,inverse(multiply(B,inverse(B)))),
inference(rw,[status(thm)],[eq_64,eq_13]) ).
cnf(eq_67,plain,
inverse(inverse(multiply(A,multiply(inverse(A),multiply(inverse(inverse(B)),inverse(inverse(C))))))) = multiply(B,C),
eq_62 ).
cnf(eq_68,negated_conjecture,
inverse(inverse(multiply(a3,multiply(B,multiply(inverse(B),inverse(inverse(multiply(b3,c3)))))))) != multiply(multiply(a3,b3),c3),
inference(cp,[status(thm)],[eq_56,eq_1]) ).
cnf(eq_69,negated_conjecture,
inverse(inverse(multiply(a3,multiply(A,multiply(inverse(A),inverse(inverse(multiply(b3,c3)))))))) != multiply(multiply(a3,b3),c3),
eq_68 ).
cnf(eq_70,plain,
A = inverse(multiply(inverse(A),inverse(inverse(inverse(multiply(B,inverse(B))))))),
inference(rw,[status(thm)],[eq_65,eq_66]) ).
cnf(eq_71,plain,
multiply(A,multiply(B,multiply(inverse(B),C))) = multiply(A,multiply(D,multiply(inverse(D),C))),
inference(rw,[status(thm)],[eq_63,eq_56]) ).
cnf(eq_72,plain,
A = multiply(B,multiply(C,multiply(multiply(D,inverse(D)),inverse(multiply(inverse(A),multiply(B,C)))))),
inference(rw,[status(thm)],[eq_60,eq_66]) ).
cnf(eq_73,plain,
multiply(multiply(x100,inverse(x100)),multiply(B,multiply(x102,inverse(x102)))) = inverse(multiply(inverse(B),inverse(inverse(inverse(multiply(C,inverse(C))))))),
inference(cp,[status(thm)],[eq_57,eq_29]) ).
cnf(eq_74,plain,
multiply(inverse(multiply(D,multiply(A,multiply(multiply(x4,inverse(x4)),inverse(x103))))),multiply(D,A)) = x103,
inference(cp,[status(thm)],[eq_20,eq_72]) ).
cnf(eq_75,plain,
A = multiply(multiply(B,inverse(B)),multiply(A,multiply(C,inverse(C)))),
inference(rw,[status(thm)],[eq_73,eq_70]) ).
cnf(eq_76,plain,
A = multiply(inverse(multiply(B,multiply(C,multiply(multiply(D,inverse(D)),inverse(A))))),multiply(B,C)),
eq_74 ).
cnf(eq_77,plain,
inverse(inverse(A)) = multiply(multiply(B,inverse(B)),A),
inference(cp,[status(thm)],[eq_75,eq_52]) ).
cnf(eq_78,plain,
inverse(inverse(inverse(multiply(B,inverse(B))))) = multiply(x101,inverse(x101)),
inference(cp,[status(thm)],[eq_75,eq_67]) ).
cnf(eq_79,plain,
multiply(x100,inverse(multiply(B,inverse(B)))) = multiply(x100,multiply(x103,multiply(inverse(x103),multiply(C,inverse(C))))),
inference(cp,[status(thm)],[eq_75,eq_71]) ).
cnf(eq_80,plain,
A = multiply(A,multiply(B,multiply(inverse(B),multiply(C,inverse(C))))),
inference(rw,[status(thm)],[eq_79,eq_66]) ).
cnf(eq_81,plain,
inverse(inverse(inverse(multiply(A,inverse(A))))) = multiply(B,inverse(B)),
eq_78 ).
cnf(eq_82,plain,
A = inverse(inverse(multiply(A,multiply(B,inverse(B))))),
inference(rw,[status(thm)],[eq_75,eq_77]) ).
cnf(eq_83,plain,
inverse(multiply(inverse(x100),multiply(x101,multiply(inverse(x101),multiply(B,inverse(B)))))) = x100,
inference(cp,[status(thm)],[eq_81,eq_57]) ).
cnf(eq_84,plain,
A = inverse(inverse(A)),
inference(rw,[status(thm)],[eq_83,eq_80]) ).
cnf(eq_85,plain,
multiply(multiply(inverse(A),A),x101) = inverse(inverse(x101)),
inference(cp,[status(thm)],[eq_84,eq_77]) ).
cnf(eq_86,plain,
A = multiply(A,multiply(B,inverse(B))),
inference(cp,[status(thm)],[eq_82,eq_84]) ).
cnf(eq_87,plain,
inverse(inverse(A)) = multiply(multiply(inverse(B),B),A),
eq_85 ).
cnf(eq_88,plain,
multiply(multiply(B,inverse(B)),A) = A,
inference(rw,[status(thm)],[eq_77,eq_84]) ).
cnf(eq_89,plain,
A = multiply(B,multiply(inverse(B),A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_51,eq_86]),eq_84]) ).
cnf(eq_90,plain,
A = multiply(inverse(multiply(B,multiply(C,inverse(A)))),multiply(B,C)),
inference(rw,[status(thm)],[eq_76,eq_88]) ).
cnf(eq_91,plain,
A = multiply(B,multiply(C,inverse(multiply(inverse(A),multiply(B,C))))),
inference(rw,[status(thm)],[eq_72,eq_88]) ).
cnf(eq_92,plain,
A = multiply(multiply(inverse(B),B),A),
inference(rw,[status(thm)],[eq_87,eq_84]) ).
cnf(eq_93,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(A,multiply(inverse(A),multiply(b3,c3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_69,eq_84]),eq_84]) ).
cnf(eq_94,negated_conjecture,
multiply(A,multiply(inverse(A),multiply(inverse(inverse(a3)),multiply(b3,c3)))) != multiply(multiply(a3,b3),c3),
inference(cp,[status(thm)],[eq_43,eq_93]) ).
cnf(eq_95,negated_conjecture,
multiply(A,multiply(inverse(A),multiply(a3,multiply(b3,c3)))) != multiply(multiply(a3,b3),c3),
inference(rw,[status(thm)],[eq_94,eq_84]) ).
cnf(eq_96,plain,
A = inverse(inverse(multiply(C,inverse(multiply(inverse(A),multiply(multiply(inverse(x100),x100),C)))))),
inference(cp,[status(thm)],[eq_91,eq_87]) ).
cnf(eq_97,plain,
A = multiply(B,inverse(multiply(inverse(A),B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_96,eq_92]),eq_84]) ).
cnf(eq_98,negated_conjecture,
multiply(multiply(a3,multiply(multiply(b3,c3),inverse(A))),A) != multiply(multiply(a3,b3),c3),
inference(cp,[status(thm)],[eq_90,eq_95]) ).
cnf(eq_99,plain,
multiply(multiply(inverse(inverse(x101)),A),inverse(A)) = x101,
inference(cp,[status(thm)],[eq_89,eq_97]) ).
cnf(eq_100,plain,
A = multiply(multiply(A,B),inverse(B)),
inference(rw,[status(thm)],[eq_99,eq_84]) ).
cnf(eq_101,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(multiply(a3,b3),c3),
inference(cp,[status(thm)],[eq_100,eq_98]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP444-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 26 04:20:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 16.21/16.42 % SZS status Unsatisfiable
% 16.21/16.42 % SZS output start CNFRefutation for /tmp/MaedMax_19011
% See solution above
% 16.21/16.42
%------------------------------------------------------------------------------