TSTP Solution File: GRP429-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP429-1 : 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 07:02:44 EDT 2022
% Result : Unsatisfiable 28.00s 28.21s
% Output : CNFRefutation 28.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 2
% Syntax : Number of clauses : 131 ( 131 unt; 0 nHn; 19 RR)
% Number of literals : 131 ( 130 equ; 17 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 314 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = multiply(B,inverse(multiply(multiply(inverse(multiply(inverse(C),multiply(inverse(B),A))),D),inverse(multiply(C,D))))),
file('/tmp/MaedMax_16490') ).
cnf(eq_1,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_16490') ).
cnf(eq_2,plain,
multiply(x100,inverse(multiply(multiply(inverse(multiply(inverse(x101),A)),x103),inverse(multiply(x101,x103))))) = inverse(multiply(multiply(inverse(multiply(inverse(C),multiply(inverse(inverse(x100)),A))),D),inverse(multiply(C,D)))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(inverse(inverse(B)),C))),D),inverse(multiply(A,D)))) = multiply(B,inverse(multiply(multiply(inverse(multiply(inverse(x4),C)),x5),inverse(multiply(x4,x5))))),
eq_2 ).
cnf(eq_4,plain,
multiply(inverse(B),multiply(B,inverse(multiply(multiply(inverse(multiply(inverse(x4),C)),x5),inverse(multiply(x4,x5)))))) = C,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_5,plain,
A = inverse(multiply(multiply(inverse(multiply(inverse(x104),multiply(inverse(inverse(B)),multiply(inverse(B),A)))),x105),inverse(multiply(x104,x105)))),
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_6,plain,
A = multiply(inverse(B),multiply(B,inverse(multiply(multiply(inverse(multiply(inverse(C),A)),D),inverse(multiply(C,D)))))),
eq_4 ).
cnf(eq_7,plain,
A = inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(inverse(C)),multiply(inverse(C),A)))),D),inverse(multiply(B,D)))),
eq_5 ).
cnf(eq_8,plain,
inverse(multiply(multiply(inverse(multiply(inverse(x100),multiply(inverse(inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(inverse(C)),multiply(inverse(C),A)))),D),inverse(multiply(B,D))))),multiply(A,x102)))),x103),inverse(multiply(x100,x103)))) = x102,
inference(cp,[status(thm)],[eq_7,eq_7]) ).
cnf(eq_9,plain,
multiply(x100,inverse(multiply(multiply(inverse(A),x103),inverse(multiply(inverse(x100),x103))))) = inverse(multiply(multiply(inverse(multiply(inverse(C),A)),D),inverse(multiply(C,D)))),
inference(cp,[status(thm)],[eq_6,eq_0]) ).
cnf(eq_10,plain,
multiply(inverse(x100),multiply(x100,multiply(B,inverse(multiply(multiply(inverse(multiply(inverse(x4),C)),x5),inverse(multiply(x4,x5))))))) = multiply(inverse(inverse(B)),C),
inference(cp,[status(thm)],[eq_3,eq_6]) ).
cnf(eq_11,plain,
multiply(inverse(x100),multiply(x100,A)) = multiply(inverse(inverse(C)),multiply(inverse(C),A)),
inference(cp,[status(thm)],[eq_7,eq_6]) ).
cnf(eq_12,plain,
inverse(multiply(multiply(inverse(multiply(inverse(A),B)),C),inverse(multiply(A,C)))) = multiply(D,inverse(multiply(multiply(inverse(B),x4),inverse(multiply(inverse(D),x4))))),
eq_9 ).
cnf(eq_13,plain,
A = inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(C,A)))),D),inverse(multiply(B,D)))),
inference(rw,[status(thm)],[eq_8,eq_7]) ).
cnf(eq_14,plain,
multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(multiply(inverse(multiply(inverse(C),D)),x4),inverse(multiply(C,x4))))))) = multiply(inverse(inverse(B)),D),
eq_10 ).
cnf(eq_15,plain,
multiply(inverse(A),multiply(A,B)) = multiply(inverse(inverse(C)),multiply(inverse(C),B)),
eq_11 ).
cnf(eq_16,plain,
multiply(x100,multiply(D,inverse(multiply(multiply(inverse(multiply(inverse(x100),x102)),x4),inverse(multiply(inverse(D),x4)))))) = x102,
inference(cp,[status(thm)],[eq_12,eq_0]) ).
cnf(eq_17,plain,
multiply(C,inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(A,B))),x103),inverse(multiply(inverse(C),x103))))) = B,
inference(cp,[status(thm)],[eq_15,eq_0]) ).
cnf(eq_18,plain,
multiply(inverse(x100),multiply(x100,multiply(x101,A))) = multiply(inverse(inverse(x101)),multiply(inverse(C),multiply(C,A))),
inference(cp,[status(thm)],[eq_13,eq_14]) ).
cnf(eq_19,plain,
multiply(inverse(x100),multiply(x100,multiply(D,inverse(multiply(multiply(inverse(B),x4),inverse(multiply(inverse(D),x4))))))) = B,
inference(cp,[status(thm)],[eq_12,eq_6]) ).
cnf(eq_20,plain,
multiply(inverse(A),multiply(inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(inverse(C)),multiply(inverse(C),A)))),D),inverse(multiply(B,D)))),x101)) = multiply(inverse(x102),multiply(x102,x101)),
inference(cp,[status(thm)],[eq_7,eq_15]) ).
cnf(eq_21,plain,
A = multiply(B,multiply(C,inverse(multiply(multiply(inverse(multiply(inverse(B),A)),D),inverse(multiply(inverse(C),D)))))),
eq_16 ).
cnf(eq_22,plain,
A = multiply(B,inverse(multiply(multiply(inverse(multiply(inverse(C),multiply(C,A))),D),inverse(multiply(inverse(B),D))))),
eq_17 ).
cnf(eq_23,plain,
multiply(inverse(A),multiply(A,B)) = multiply(inverse(C),multiply(C,B)),
inference(rw,[status(thm)],[eq_20,eq_7]) ).
cnf(eq_24,plain,
A = multiply(inverse(B),multiply(B,multiply(C,inverse(multiply(multiply(inverse(A),D),inverse(multiply(inverse(C),D))))))),
eq_19 ).
cnf(eq_25,plain,
multiply(inverse(A),multiply(A,multiply(B,C))) = multiply(inverse(inverse(B)),multiply(inverse(D),multiply(D,C))),
eq_18 ).
cnf(eq_26,plain,
inverse(multiply(multiply(inverse(A),x103),inverse(multiply(inverse(C),x103)))) = inverse(multiply(multiply(inverse(A),D),inverse(multiply(inverse(C),D)))),
inference(cp,[status(thm)],[eq_24,eq_13]) ).
cnf(eq_27,plain,
multiply(inverse(x100),multiply(x100,inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(A,B))),x103),inverse(multiply(C,x103)))))) = multiply(C,B),
inference(cp,[status(thm)],[eq_23,eq_6]) ).
cnf(eq_28,plain,
A = multiply(inverse(inverse(C)),multiply(inverse(x103),multiply(x103,inverse(multiply(multiply(inverse(A),D),inverse(multiply(inverse(C),D))))))),
inference(cp,[status(thm)],[eq_24,eq_25]) ).
cnf(eq_29,plain,
A = multiply(inverse(inverse(B)),multiply(inverse(C),multiply(C,inverse(multiply(multiply(inverse(A),D),inverse(multiply(inverse(B),D))))))),
eq_28 ).
cnf(eq_30,plain,
inverse(multiply(multiply(inverse(A),B),inverse(multiply(inverse(C),B)))) = inverse(multiply(multiply(inverse(A),D),inverse(multiply(inverse(C),D)))),
eq_26 ).
cnf(eq_31,plain,
multiply(A,B) = multiply(inverse(C),multiply(C,inverse(multiply(multiply(inverse(multiply(inverse(D),multiply(D,B))),x4),inverse(multiply(A,x4)))))),
eq_27 ).
cnf(eq_32,plain,
multiply(inverse(x100),multiply(x100,multiply(x101,inverse(multiply(multiply(inverse(multiply(multiply(inverse(A),B),inverse(multiply(inverse(C),B)))),x103),inverse(multiply(inverse(x101),x103))))))) = multiply(multiply(inverse(A),D),inverse(multiply(inverse(C),D))),
inference(cp,[status(thm)],[eq_30,eq_24]) ).
cnf(eq_33,plain,
inverse(multiply(multiply(inverse(x100),x101),inverse(multiply(A,x101)))) = inverse(multiply(multiply(inverse(x100),x103),inverse(multiply(inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(C,A)))),D),inverse(multiply(B,D)))),x103)))),
inference(cp,[status(thm)],[eq_13,eq_30]) ).
cnf(eq_34,plain,
multiply(inverse(A),multiply(inverse(x101),multiply(x101,inverse(multiply(multiply(inverse(x102),x103),inverse(multiply(inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(C,A)))),D),inverse(multiply(B,D)))),x103))))))) = x102,
inference(cp,[status(thm)],[eq_13,eq_29]) ).
cnf(eq_35,plain,
A = multiply(inverse(B),multiply(inverse(C),multiply(C,inverse(multiply(multiply(inverse(A),D),inverse(multiply(B,D))))))),
inference(rw,[status(thm)],[eq_34,eq_13]) ).
cnf(eq_36,plain,
inverse(multiply(multiply(inverse(A),B),inverse(multiply(C,B)))) = inverse(multiply(multiply(inverse(A),D),inverse(multiply(C,D)))),
inference(rw,[status(thm)],[eq_33,eq_13]) ).
cnf(eq_37,plain,
multiply(multiply(inverse(A),B),inverse(multiply(inverse(C),B))) = multiply(multiply(inverse(A),D),inverse(multiply(inverse(C),D))),
inference(rw,[status(thm)],[eq_32,eq_24]) ).
cnf(eq_38,plain,
inverse(multiply(multiply(A,x101),inverse(multiply(x102,x101)))) = inverse(multiply(multiply(inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(C,A)))),D),inverse(multiply(B,D)))),x103),inverse(multiply(x102,x103)))),
inference(cp,[status(thm)],[eq_13,eq_36]) ).
cnf(eq_39,plain,
multiply(multiply(A,x101),inverse(multiply(inverse(x102),x101))) = multiply(multiply(inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(C,A)))),D),inverse(multiply(B,D)))),x103),inverse(multiply(inverse(x102),x103))),
inference(cp,[status(thm)],[eq_13,eq_37]) ).
cnf(eq_40,plain,
inverse(multiply(multiply(A,B),inverse(multiply(C,B)))) = inverse(multiply(multiply(A,D),inverse(multiply(C,D)))),
inference(rw,[status(thm)],[eq_38,eq_13]) ).
cnf(eq_41,plain,
multiply(multiply(A,B),inverse(multiply(inverse(C),B))) = multiply(multiply(A,D),inverse(multiply(inverse(C),D))),
inference(rw,[status(thm)],[eq_39,eq_13]) ).
cnf(eq_42,plain,
multiply(inverse(inverse(x100)),multiply(inverse(x101),multiply(x101,inverse(multiply(multiply(inverse(multiply(multiply(A,B),inverse(multiply(C,B)))),x103),inverse(multiply(inverse(x100),x103))))))) = multiply(multiply(A,D),inverse(multiply(C,D))),
inference(cp,[status(thm)],[eq_40,eq_29]) ).
cnf(eq_43,plain,
multiply(multiply(x100,multiply(C,B)),inverse(multiply(inverse(A),multiply(A,B)))) = multiply(multiply(x100,x103),inverse(multiply(inverse(C),x103))),
inference(cp,[status(thm)],[eq_23,eq_41]) ).
cnf(eq_44,plain,
multiply(multiply(A,B),inverse(multiply(C,B))) = multiply(multiply(A,D),inverse(multiply(C,D))),
inference(rw,[status(thm)],[eq_42,eq_29]) ).
cnf(eq_45,plain,
multiply(multiply(A,B),inverse(multiply(inverse(C),B))) = multiply(multiply(A,multiply(C,D)),inverse(multiply(inverse(x4),multiply(x4,D)))),
eq_43 ).
cnf(eq_46,negated_conjecture,
multiply(inverse(C),multiply(C,inverse(multiply(multiply(inverse(multiply(inverse(D),multiply(D,multiply(b3,c3)))),x4),inverse(multiply(a3,x4)))))) != multiply(multiply(a3,b3),c3),
inference(cp,[status(thm)],[eq_31,eq_1]) ).
cnf(eq_47,negated_conjecture,
multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(B,multiply(b3,c3)))),C),inverse(multiply(a3,C)))))) != multiply(multiply(a3,b3),c3),
eq_46 ).
cnf(eq_48,plain,
multiply(A,inverse(multiply(inverse(x103),multiply(x103,multiply(C,inverse(multiply(multiply(inverse(A),D),inverse(multiply(inverse(C),D))))))))) = multiply(multiply(inverse(B),x104),inverse(multiply(inverse(B),x104))),
inference(cp,[status(thm)],[eq_24,eq_45]) ).
cnf(eq_49,plain,
multiply(A,inverse(A)) = multiply(multiply(inverse(B),C),inverse(multiply(inverse(B),C))),
inference(rw,[status(thm)],[eq_48,eq_24]) ).
cnf(eq_50,negated_conjecture,
multiply(inverse(x100),multiply(x100,inverse(multiply(multiply(inverse(multiply(inverse(inverse(b3)),multiply(inverse(A),multiply(A,c3)))),x102),inverse(multiply(a3,x102)))))) != multiply(multiply(a3,b3),c3),
inference(cp,[status(thm)],[eq_23,eq_47]) ).
cnf(eq_51,negated_conjecture,
multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(inverse(b3)),multiply(inverse(B),multiply(B,c3)))),C),inverse(multiply(a3,C)))))) != multiply(multiply(a3,b3),c3),
eq_50 ).
cnf(eq_52,plain,
multiply(multiply(inverse(x101),multiply(x101,x102)),inverse(multiply(A,inverse(A)))) = x102,
inference(cp,[status(thm)],[eq_49,eq_22]) ).
cnf(eq_53,plain,
multiply(x100,multiply(multiply(inverse(x100),x102),inverse(multiply(A,inverse(A))))) = x102,
inference(cp,[status(thm)],[eq_49,eq_21]) ).
cnf(eq_54,plain,
multiply(inverse(x100),multiply(x100,multiply(B,inverse(multiply(A,inverse(A)))))) = B,
inference(cp,[status(thm)],[eq_49,eq_24]) ).
cnf(eq_55,plain,
multiply(inverse(inverse(B)),multiply(inverse(x101),multiply(x101,inverse(multiply(A,inverse(A)))))) = B,
inference(cp,[status(thm)],[eq_49,eq_29]) ).
cnf(eq_56,plain,
multiply(multiply(inverse(inverse(B)),multiply(inverse(C),multiply(C,inverse(multiply(multiply(inverse(A),D),inverse(multiply(inverse(B),D))))))),inverse(A)) = multiply(x102,inverse(x102)),
inference(cp,[status(thm)],[eq_29,eq_49]) ).
cnf(eq_57,plain,
multiply(A,inverse(A)) = multiply(B,inverse(B)),
inference(rw,[status(thm)],[eq_56,eq_29]) ).
cnf(eq_58,plain,
A = multiply(inverse(B),multiply(B,multiply(A,inverse(multiply(C,inverse(C)))))),
eq_54 ).
cnf(eq_59,plain,
A = multiply(multiply(inverse(B),multiply(B,A)),inverse(multiply(C,inverse(C)))),
eq_52 ).
cnf(eq_60,plain,
A = multiply(inverse(inverse(A)),multiply(inverse(B),multiply(B,inverse(multiply(C,inverse(C)))))),
eq_55 ).
cnf(eq_61,plain,
A = multiply(B,multiply(multiply(inverse(B),A),inverse(multiply(C,inverse(C))))),
eq_53 ).
cnf(eq_62,negated_conjecture,
multiply(inverse(x100),multiply(x100,inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(a3,multiply(multiply(inverse(inverse(b3)),multiply(inverse(x101),multiply(x101,c3))),B))))))) != multiply(multiply(a3,b3),c3),
inference(cp,[status(thm)],[eq_23,eq_51]) ).
cnf(eq_63,negated_conjecture,
multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(B),multiply(B,C)),inverse(multiply(a3,multiply(multiply(inverse(inverse(b3)),multiply(inverse(D),multiply(D,c3))),C))))))) != multiply(multiply(a3,b3),c3),
eq_62 ).
cnf(eq_64,plain,
multiply(x100,multiply(multiply(inverse(x100),B),inverse(multiply(C,B)))) = inverse(C),
inference(cp,[status(thm)],[eq_44,eq_61]) ).
cnf(eq_65,plain,
multiply(x100,multiply(B,inverse(B))) = inverse(inverse(x100)),
inference(cp,[status(thm)],[eq_57,eq_61]) ).
cnf(eq_66,plain,
multiply(B,inverse(multiply(x102,inverse(x102)))) = multiply(B,inverse(multiply(C,inverse(C)))),
inference(cp,[status(thm)],[eq_60,eq_59]) ).
cnf(eq_67,plain,
multiply(inverse(A),multiply(B,inverse(B))) = multiply(inverse(x102),multiply(x102,inverse(A))),
inference(cp,[status(thm)],[eq_57,eq_23]) ).
cnf(eq_68,plain,
multiply(A,inverse(multiply(B,inverse(B)))) = multiply(A,inverse(multiply(C,inverse(C)))),
eq_66 ).
cnf(eq_69,plain,
inverse(A) = multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(A,C)))),
eq_64 ).
cnf(eq_70,plain,
multiply(inverse(A),multiply(A,inverse(B))) = multiply(inverse(B),multiply(C,inverse(C))),
eq_67 ).
cnf(eq_71,plain,
inverse(inverse(A)) = multiply(A,multiply(B,inverse(B))),
eq_65 ).
cnf(eq_72,plain,
multiply(inverse(inverse(x100)),inverse(inverse(inverse(multiply(x102,inverse(x102)))))) = x100,
inference(cp,[status(thm)],[eq_71,eq_60]) ).
cnf(eq_73,plain,
multiply(inverse(inverse(inverse(B))),inverse(multiply(x102,inverse(x102)))) = inverse(B),
inference(cp,[status(thm)],[eq_71,eq_59]) ).
cnf(eq_74,plain,
multiply(x100,multiply(inverse(inverse(inverse(x100))),inverse(multiply(x102,multiply(B,inverse(B)))))) = inverse(x102),
inference(cp,[status(thm)],[eq_71,eq_69]) ).
cnf(eq_75,plain,
multiply(A,multiply(x101,inverse(x101))) = multiply(inverse(x102),multiply(x102,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(C,A)))),D),inverse(multiply(B,D)))))),
inference(cp,[status(thm)],[eq_13,eq_70]) ).
cnf(eq_76,plain,
multiply(A,multiply(B,inverse(B))) = multiply(inverse(C),multiply(C,A)),
inference(rw,[status(thm)],[eq_75,eq_13]) ).
cnf(eq_77,plain,
inverse(A) = multiply(inverse(inverse(inverse(A))),inverse(multiply(B,inverse(B)))),
eq_73 ).
cnf(eq_78,plain,
A = multiply(inverse(inverse(A)),inverse(inverse(inverse(multiply(B,inverse(B)))))),
eq_72 ).
cnf(eq_79,negated_conjecture,
inverse(inverse(inverse(multiply(multiply(inverse(x101),multiply(x101,x102)),inverse(multiply(a3,multiply(multiply(inverse(inverse(b3)),multiply(inverse(x103),multiply(x103,c3))),x102))))))) != multiply(multiply(a3,b3),c3),
inference(cp,[status(thm)],[eq_71,eq_63]) ).
cnf(eq_80,negated_conjecture,
inverse(inverse(inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(a3,multiply(multiply(inverse(inverse(b3)),multiply(inverse(C),multiply(C,c3))),B))))))) != multiply(multiply(a3,b3),c3),
eq_79 ).
cnf(eq_81,plain,
inverse(inverse(A)) = multiply(inverse(B),multiply(B,A)),
inference(rw,[status(thm)],[eq_76,eq_71]) ).
cnf(eq_82,plain,
inverse(A) = multiply(B,multiply(inverse(inverse(inverse(B))),inverse(inverse(inverse(A))))),
inference(rw,[status(thm)],[eq_74,eq_71]) ).
cnf(eq_83,plain,
multiply(x100,inverse(x100)) = inverse(multiply(B,inverse(B))),
inference(cp,[status(thm)],[eq_78,eq_82]) ).
cnf(eq_84,plain,
multiply(x100,multiply(inverse(inverse(inverse(x100))),inverse(inverse(A)))) = inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(C),multiply(C,A)))),D),inverse(multiply(B,D)))),
inference(cp,[status(thm)],[eq_13,eq_82]) ).
cnf(eq_85,plain,
multiply(inverse(x100),multiply(x100,multiply(x101,inverse(multiply(multiply(inverse(inverse(A)),x104),inverse(multiply(inverse(inverse(A)),x104))))))) = multiply(inverse(inverse(x101)),inverse(multiply(B,inverse(B)))),
inference(cp,[status(thm)],[eq_77,eq_14]) ).
cnf(eq_86,plain,
multiply(inverse(inverse(B)),inverse(inverse(A))) = inverse(inverse(multiply(B,A))),
inference(cp,[status(thm)],[eq_81,eq_81]) ).
cnf(eq_87,plain,
inverse(multiply(A,inverse(A))) = multiply(B,inverse(B)),
eq_83 ).
cnf(eq_88,plain,
inverse(inverse(multiply(A,B))) = multiply(inverse(inverse(A)),inverse(inverse(B))),
eq_86 ).
cnf(eq_89,plain,
A = multiply(inverse(inverse(A)),inverse(multiply(B,inverse(B)))),
inference(rw,[status(thm)],[eq_85,eq_58]) ).
cnf(eq_90,plain,
A = multiply(B,multiply(inverse(inverse(inverse(B))),inverse(inverse(A)))),
inference(rw,[status(thm)],[eq_84,eq_13]) ).
cnf(eq_91,negated_conjecture,
inverse(inverse(inverse(multiply(inverse(inverse(A)),inverse(multiply(a3,multiply(multiply(inverse(inverse(b3)),inverse(inverse(c3))),A))))))) != multiply(multiply(a3,b3),c3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_80,eq_81]),eq_81]) ).
cnf(eq_92,plain,
multiply(x100,multiply(multiply(inverse(x100),x102),multiply(B,inverse(B)))) = x102,
inference(cp,[status(thm)],[eq_87,eq_21]) ).
cnf(eq_93,plain,
multiply(inverse(inverse(x100)),multiply(B,inverse(B))) = x100,
inference(cp,[status(thm)],[eq_87,eq_89]) ).
cnf(eq_94,plain,
multiply(x100,multiply(B,inverse(B))) = multiply(x100,inverse(multiply(x102,inverse(x102)))),
inference(cp,[status(thm)],[eq_87,eq_68]) ).
cnf(eq_95,plain,
multiply(multiply(x100,inverse(A)),multiply(B,inverse(B))) = multiply(multiply(x100,x103),inverse(multiply(A,x103))),
inference(cp,[status(thm)],[eq_87,eq_44]) ).
cnf(eq_96,plain,
A = inverse(inverse(inverse(inverse(A)))),
inference(rw,[status(thm)],[eq_93,eq_71]) ).
cnf(eq_97,plain,
inverse(inverse(A)) = multiply(A,inverse(multiply(B,inverse(B)))),
inference(rw,[status(thm)],[eq_94,eq_71]) ).
cnf(eq_98,plain,
A = multiply(B,inverse(inverse(multiply(inverse(B),A)))),
inference(rw,[status(thm)],[eq_92,eq_71]) ).
cnf(eq_99,plain,
inverse(inverse(multiply(A,inverse(B)))) = multiply(multiply(A,C),inverse(multiply(B,C))),
inference(rw,[status(thm)],[eq_95,eq_71]) ).
cnf(eq_100,plain,
multiply(x100,A) = multiply(inverse(inverse(inverse(inverse(x100)))),A),
inference(cp,[status(thm)],[eq_98,eq_90]) ).
cnf(eq_101,plain,
multiply(x100,inverse(multiply(multiply(A,inverse(A)),multiply(B,inverse(B))))) = inverse(inverse(x100)),
inference(cp,[status(thm)],[eq_87,eq_97]) ).
cnf(eq_102,plain,
multiply(B,inverse(inverse(inverse(inverse(A))))) = multiply(B,A),
inference(cp,[status(thm)],[eq_81,eq_98]) ).
cnf(eq_103,plain,
multiply(x100,inverse(inverse(A))) = inverse(inverse(multiply(inverse(inverse(x100)),A))),
inference(cp,[status(thm)],[eq_98,eq_98]) ).
cnf(eq_104,plain,
inverse(inverse(A)) = multiply(A,inverse(inverse(inverse(multiply(B,inverse(B)))))),
inference(rw,[status(thm)],[eq_101,eq_71]) ).
cnf(eq_105,plain,
multiply(A,B) = multiply(A,inverse(inverse(inverse(inverse(B))))),
eq_102 ).
cnf(eq_106,plain,
multiply(A,B) = multiply(inverse(inverse(inverse(inverse(A)))),B),
eq_100 ).
cnf(eq_107,plain,
inverse(inverse(multiply(inverse(inverse(A)),B))) = multiply(A,inverse(inverse(B))),
eq_103 ).
cnf(eq_108,plain,
multiply(inverse(inverse(x100)),A) = inverse(inverse(multiply(x100,inverse(inverse(A))))),
inference(cp,[status(thm)],[eq_96,eq_88]) ).
cnf(eq_109,plain,
inverse(inverse(multiply(A,inverse(inverse(B))))) = multiply(inverse(inverse(A)),B),
eq_108 ).
cnf(eq_110,negated_conjecture,
inverse(multiply(A,inverse(inverse(inverse(multiply(a3,multiply(inverse(inverse(multiply(b3,c3))),A))))))) != multiply(multiply(a3,b3),c3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_91,eq_88]),eq_107]) ).
cnf(eq_111,negated_conjecture,
inverse(multiply(B,inverse(inverse(inverse(multiply(a3,inverse(inverse(multiply(multiply(b3,c3),inverse(inverse(B))))))))))) != multiply(multiply(a3,b3),c3),
inference(cp,[status(thm)],[eq_109,eq_110]) ).
cnf(eq_112,negated_conjecture,
inverse(multiply(A,inverse(inverse(inverse(multiply(a3,inverse(inverse(multiply(multiply(b3,c3),inverse(inverse(A))))))))))) != multiply(multiply(a3,b3),c3),
eq_111 ).
cnf(eq_113,plain,
inverse(multiply(multiply(inverse(A),inverse(inverse(B))),inverse(inverse(inverse(multiply(C,B)))))) = multiply(C,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_31,eq_81]),eq_109]),eq_109]),eq_81]),eq_96]) ).
cnf(eq_114,plain,
inverse(inverse(inverse(inverse(multiply(A,B))))) = multiply(A,B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_106,eq_109]),eq_109]),eq_105]) ).
cnf(eq_115,plain,
inverse(A) = inverse(inverse(inverse(inverse(inverse(A))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_77,eq_109]),eq_104]) ).
cnf(eq_116,plain,
A = multiply(inverse(B),inverse(multiply(inverse(A),inverse(B)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_35,eq_99]),eq_81]),eq_96]) ).
cnf(eq_117,plain,
A = inverse(multiply(inverse(multiply(inverse(B),A)),inverse(B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_99]),eq_81]),eq_96]) ).
cnf(eq_118,plain,
inverse(inverse(multiply(multiply(inverse(inverse(x100)),inverse(inverse(B))),inverse(inverse(inverse(multiply(inverse(multiply(inverse(x100),x101)),B))))))) = x101,
inference(cp,[status(thm)],[eq_113,eq_117]) ).
cnf(eq_119,plain,
inverse(multiply(inverse(inverse(multiply(A,inverse(inverse(inverse(inverse(x101))))))),inverse(inverse(inverse(multiply(x102,x101)))))) = multiply(x102,inverse(A)),
inference(cp,[status(thm)],[eq_109,eq_113]) ).
cnf(eq_120,plain,
multiply(inverse(inverse(inverse(inverse(A)))),inverse(multiply(inverse(x101),A))) = x101,
inference(cp,[status(thm)],[eq_96,eq_116]) ).
cnf(eq_121,plain,
A = multiply(B,inverse(multiply(inverse(A),B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_120,eq_109]),eq_109]),eq_114]),eq_114]) ).
cnf(eq_122,plain,
A = inverse(inverse(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)],[inference(rw,[status(thm)],[eq_118,eq_109]),eq_105]),eq_109]),eq_114]),eq_99]),eq_98]),eq_115]) ).
cnf(eq_123,plain,
inverse(multiply(A,inverse(B))) = multiply(B,inverse(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_119,eq_105]),eq_109]),eq_114]),eq_99]),eq_114]) ).
cnf(eq_124,negated_conjecture,
inverse(multiply(A,inverse(multiply(a3,multiply(multiply(b3,c3),A))))) != multiply(multiply(a3,b3),c3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_112,eq_122]),eq_122]),eq_122]) ).
cnf(eq_125,plain,
multiply(multiply(B,A),inverse(inverse(inverse(A)))) = B,
inference(cp,[status(thm)],[eq_81,eq_121]) ).
cnf(eq_126,plain,
A = multiply(multiply(A,B),inverse(B)),
inference(rw,[status(thm)],[eq_125,eq_122]) ).
cnf(eq_127,negated_conjecture,
inverse(multiply(inverse(c3),inverse(multiply(a3,b3)))) != multiply(multiply(a3,b3),c3),
inference(cp,[status(thm)],[eq_126,eq_124]) ).
cnf(eq_128,negated_conjecture,
multiply(multiply(a3,b3),inverse(inverse(c3))) != multiply(multiply(a3,b3),c3),
inference(cp,[status(thm)],[eq_123,eq_127]) ).
cnf(eq_129,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(multiply(a3,b3),c3),
inference(rw,[status(thm)],[eq_128,eq_122]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP429-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : run_maedmax %d %s
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 26 04:19:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 28.00/28.21 % SZS status Unsatisfiable
% 28.00/28.21 % SZS output start CNFRefutation for /tmp/MaedMax_16490
% See solution above
% 28.00/28.21
%------------------------------------------------------------------------------