%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP413-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n024.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 07:02:42 EDT 2022
% Result : Unsatisfiable 3.01s 3.22s
% Output : CNFRefutation 3.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 2
% Syntax : Number of clauses : 101 ( 101 unt; 0 nHn; 11 RR)
% Number of literals : 101 ( 100 equ; 9 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 245 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = multiply(B,inverse(multiply(multiply(multiply(inverse(C),C),inverse(multiply(inverse(multiply(B,inverse(C))),A))),C))),
file('/tmp/MaedMax_15657') ).
cnf(eq_1,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/tmp/MaedMax_15657') ).
cnf(eq_2,plain,
multiply(x100,inverse(multiply(multiply(multiply(inverse(x101),x101),inverse(A)),x101))) = inverse(multiply(multiply(multiply(inverse(C),C),inverse(multiply(inverse(multiply(inverse(multiply(x100,inverse(x101))),inverse(C))),A))),C)),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(C))),inverse(A))),x3))),A)) = multiply(B,inverse(multiply(multiply(multiply(inverse(C),C),inverse(x3)),C))),
eq_2 ).
cnf(eq_4,plain,
multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(multiply(multiply(multiply(inverse(C),C),inverse(x3)),C)))) = x3,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_5,plain,
multiply(multiply(multiply(inverse(inverse(x101)),inverse(x101)),inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(C))),inverse(inverse(x101)))),x3))),inverse(multiply(multiply(multiply(inverse(x101),x101),inverse(multiply(multiply(B,inverse(multiply(multiply(multiply(inverse(C),C),inverse(x3)),C))),x102))),x101))) = x102,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_6,plain,
A = multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(multiply(multiply(multiply(inverse(C),C),inverse(A)),C)))),
eq_4 ).
cnf(eq_7,plain,
A = multiply(multiply(multiply(inverse(inverse(B)),inverse(B)),inverse(multiply(inverse(multiply(inverse(multiply(C,inverse(x3))),inverse(inverse(B)))),x4))),inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(multiply(C,inverse(multiply(multiply(multiply(inverse(x3),x3),inverse(x4)),x3))),A))),B))),
eq_5 ).
cnf(eq_8,plain,
multiply(multiply(B,inverse(multiply(multiply(multiply(inverse(C),C),inverse(x3)),C))),multiply(multiply(multiply(inverse(inverse(x101)),inverse(x101)),inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(C))),inverse(inverse(x101)))),x3))),inverse(multiply(multiply(multiply(inverse(x101),x101),inverse(x102)),x101)))) = x102,
inference(cp,[status(thm)],[eq_3,eq_6]) ).
cnf(eq_9,plain,
multiply(inverse(multiply(x100,inverse(A))),multiply(x100,multiply(B,inverse(multiply(multiply(multiply(inverse(C),C),inverse(x3)),C))))) = multiply(inverse(multiply(inverse(multiply(B,inverse(C))),inverse(A))),x3),
inference(cp,[status(thm)],[eq_3,eq_6]) ).
cnf(eq_10,plain,
multiply(inverse(multiply(x100,inverse(x101))),multiply(x100,inverse(multiply(A,x101)))) = multiply(multiply(multiply(inverse(C),C),inverse(multiply(inverse(multiply(multiply(inverse(x101),x101),inverse(C))),A))),C),
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_11,plain,
multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B)))) = multiply(multiply(multiply(inverse(x3),x3),inverse(multiply(inverse(multiply(multiply(inverse(B),B),inverse(x3))),C))),x3),
eq_10 ).
cnf(eq_12,plain,
multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(C,inverse(multiply(multiply(multiply(inverse(x3),x3),inverse(x4)),x3))))) = multiply(inverse(multiply(inverse(multiply(C,inverse(x3))),inverse(B))),x4),
eq_9 ).
cnf(eq_13,plain,
A = multiply(multiply(B,inverse(multiply(multiply(multiply(inverse(C),C),inverse(x3)),C))),multiply(multiply(multiply(inverse(inverse(x4)),inverse(x4)),inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(C))),inverse(inverse(x4)))),x3))),inverse(multiply(multiply(multiply(inverse(x4),x4),inverse(A)),x4)))),
eq_8 ).
cnf(eq_14,plain,
multiply(multiply(multiply(inverse(x3),x3),inverse(multiply(inverse(multiply(multiply(inverse(B),B),inverse(x3))),multiply(multiply(inverse(B),B),inverse(x102))))),x3) = x102,
inference(cp,[status(thm)],[eq_11,eq_6]) ).
cnf(eq_15,plain,
multiply(inverse(multiply(x100,inverse(x3))),multiply(x100,inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B))))))) = multiply(inverse(multiply(multiply(inverse(B),B),inverse(x3))),C),
inference(cp,[status(thm)],[eq_11,eq_6]) ).
cnf(eq_16,plain,
multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B)))))) = C,
inference(cp,[status(thm)],[eq_11,eq_0]) ).
cnf(eq_17,plain,
multiply(inverse(multiply(x100,inverse(x101))),multiply(x100,A)) = multiply(inverse(multiply(inverse(multiply(B,inverse(C))),inverse(x101))),multiply(inverse(multiply(B,inverse(C))),A)),
inference(cp,[status(thm)],[eq_0,eq_12]) ).
cnf(eq_18,plain,
multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(multiply(C,inverse(x3))),multiply(C,inverse(multiply(x4,x3))))))) = multiply(inverse(multiply(multiply(inverse(x3),x3),inverse(B))),x4),
eq_15 ).
cnf(eq_19,plain,
A = multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(C),C),inverse(B))),multiply(multiply(inverse(C),C),inverse(A))))),B),
eq_14 ).
cnf(eq_20,plain,
A = multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(C,inverse(B))),multiply(C,inverse(multiply(A,B)))))),
eq_16 ).
cnf(eq_21,plain,
multiply(inverse(multiply(A,inverse(B))),multiply(A,C)) = multiply(inverse(multiply(inverse(multiply(x3,inverse(x4))),inverse(B))),multiply(inverse(multiply(x3,inverse(x4))),C)),
eq_17 ).
cnf(eq_22,plain,
inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,C)))),B)) = multiply(x3,inverse(multiply(multiply(multiply(inverse(x4),x4),inverse(multiply(inverse(multiply(x3,inverse(x4))),C))),x4))),
inference(cp,[status(thm)],[eq_21,eq_3]) ).
cnf(eq_23,plain,
multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(multiply(C,inverse(x3))),multiply(C,inverse(multiply(multiply(multiply(inverse(x3),x3),inverse(x102)),x3))))))))),B) = x102,
inference(cp,[status(thm)],[eq_18,eq_19]) ).
cnf(eq_24,plain,
multiply(inverse(multiply(A,inverse(B))),multiply(A,C)) = multiply(inverse(multiply(x104,inverse(B))),multiply(x104,C)),
inference(cp,[status(thm)],[eq_21,eq_21]) ).
cnf(eq_25,plain,
A = inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(C,inverse(B))),multiply(C,A)))),B)),
inference(rw,[status(thm)],[eq_22,eq_0]) ).
cnf(eq_26,plain,
multiply(inverse(multiply(A,inverse(B))),multiply(A,C)) = multiply(inverse(multiply(x3,inverse(B))),multiply(x3,C)),
eq_24 ).
cnf(eq_27,plain,
A = multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(C,inverse(B))),multiply(C,inverse(A))))),B),
inference(rw,[status(thm)],[eq_23,eq_6]) ).
cnf(eq_28,plain,
inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),x102),B))))) = x102,
inference(cp,[status(thm)],[eq_11,eq_25]) ).
cnf(eq_29,plain,
inverse(multiply(multiply(multiply(inverse(x100),x100),inverse(multiply(inverse(multiply(inverse(multiply(x3,inverse(B))),inverse(x100))),multiply(inverse(multiply(A,inverse(B))),multiply(A,C))))),x100)) = multiply(x3,C),
inference(cp,[status(thm)],[eq_26,eq_25]) ).
cnf(eq_30,plain,
multiply(inverse(A),multiply(multiply(inverse(B),B),x102)) = multiply(inverse(multiply(x103,inverse(multiply(inverse(multiply(C,inverse(B))),multiply(C,inverse(multiply(A,B))))))),multiply(x103,x102)),
inference(cp,[status(thm)],[eq_20,eq_26]) ).
cnf(eq_31,plain,
multiply(inverse(multiply(x100,A)),multiply(x100,x102)) = multiply(inverse(multiply(x103,inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(C,inverse(B))),multiply(C,A)))),B)))),multiply(x103,x102)),
inference(cp,[status(thm)],[eq_25,eq_26]) ).
cnf(eq_32,plain,
multiply(A,B) = multiply(A,inverse(multiply(multiply(multiply(inverse(C),C),inverse(multiply(inverse(multiply(x3,inverse(C))),multiply(x3,B)))),C))),
inference(rw,[status(thm)],[eq_29,eq_3]) ).
cnf(eq_33,plain,
A = inverse(multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(multiply(multiply(multiply(inverse(C),C),A),C))))),
eq_28 ).
cnf(eq_34,plain,
multiply(inverse(A),multiply(multiply(inverse(B),B),C)) = multiply(inverse(multiply(x3,inverse(multiply(inverse(multiply(x4,inverse(B))),multiply(x4,inverse(multiply(A,B))))))),multiply(x3,C)),
eq_30 ).
cnf(eq_35,plain,
inverse(multiply(inverse(multiply(x100,inverse(B))),multiply(x100,A))) = inverse(multiply(inverse(multiply(C,inverse(B))),multiply(C,A))),
inference(cp,[status(thm)],[eq_25,eq_33]) ).
cnf(eq_36,plain,
multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(x3,B)),multiply(x3,C)),
inference(rw,[status(thm)],[eq_31,eq_25]) ).
cnf(eq_37,plain,
inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,C))) = inverse(multiply(inverse(multiply(x3,inverse(B))),multiply(x3,C))),
eq_35 ).
cnf(eq_38,plain,
inverse(multiply(inverse(multiply(x100,A)),multiply(x100,x102))) = inverse(multiply(inverse(multiply(x103,inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(C,inverse(B))),multiply(C,A)))),B)))),multiply(x103,x102))),
inference(cp,[status(thm)],[eq_25,eq_37]) ).
cnf(eq_39,plain,
multiply(A,multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(C,inverse(B))),multiply(C,A)))),x102)) = multiply(inverse(multiply(x103,B)),multiply(x103,x102)),
inference(cp,[status(thm)],[eq_25,eq_36]) ).
cnf(eq_40,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_36,eq_36]) ).
cnf(eq_41,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_40 ).
cnf(eq_42,plain,
inverse(multiply(inverse(multiply(A,B)),multiply(A,C))) = inverse(multiply(inverse(multiply(x3,B)),multiply(x3,C))),
inference(rw,[status(thm)],[eq_38,eq_32]) ).
cnf(eq_43,plain,
multiply(A,multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(C,inverse(B))),multiply(C,A)))),x3)) = multiply(inverse(multiply(x4,B)),multiply(x4,x3)),
eq_39 ).
cnf(eq_44,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(x104,B)),multiply(x104,B)),
inference(cp,[status(thm)],[eq_27,eq_43]) ).
cnf(eq_45,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(B,C)),multiply(B,C)),
eq_44 ).
cnf(eq_46,plain,
multiply(inverse(A),A) = multiply(inverse(x103),multiply(multiply(inverse(x102),x102),inverse(multiply(inverse(multiply(x101,inverse(x102))),multiply(x101,inverse(multiply(x103,x102))))))),
inference(cp,[status(thm)],[eq_45,eq_34]) ).
cnf(eq_47,plain,
inverse(multiply(inverse(A),A)) = inverse(multiply(inverse(multiply(x103,C)),multiply(x103,C))),
inference(cp,[status(thm)],[eq_45,eq_42]) ).
cnf(eq_48,plain,
multiply(multiply(multiply(inverse(x100),x100),inverse(multiply(inverse(A),A))),x100) = multiply(inverse(multiply(x103,inverse(x101))),multiply(x103,inverse(multiply(multiply(multiply(inverse(x101),x101),inverse(x100)),x101)))),
inference(cp,[status(thm)],[eq_45,eq_11]) ).
cnf(eq_49,plain,
multiply(inverse(A),A) = multiply(inverse(B),B),
inference(rw,[status(thm)],[eq_46,eq_20]) ).
cnf(eq_50,plain,
A = multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),B))),A),
inference(rw,[status(thm)],[eq_48,eq_6]) ).
cnf(eq_51,plain,
inverse(multiply(inverse(A),A)) = inverse(multiply(inverse(multiply(B,C)),multiply(B,C))),
eq_47 ).
cnf(eq_52,negated_conjecture,
multiply(multiply(inverse(multiply(B,C)),multiply(B,C)),a2) != a2,
inference(cp,[status(thm)],[eq_45,eq_1]) ).
cnf(eq_53,negated_conjecture,
multiply(multiply(inverse(multiply(A,B)),multiply(A,B)),a2) != a2,
eq_52 ).
cnf(eq_54,plain,
multiply(inverse(inverse(x101)),inverse(multiply(multiply(multiply(inverse(x101),x101),inverse(multiply(inverse(multiply(inverse(A),A)),x102))),x101))) = x102,
inference(cp,[status(thm)],[eq_49,eq_0]) ).
cnf(eq_55,plain,
multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(x101),x101))),B) = B,
inference(cp,[status(thm)],[eq_49,eq_50]) ).
cnf(eq_56,plain,
inverse(multiply(inverse(A),multiply(multiply(B,inverse(multiply(multiply(multiply(inverse(C),C),inverse(x3)),C))),multiply(multiply(multiply(inverse(inverse(x4)),inverse(x4)),inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(C))),inverse(inverse(x4)))),x3))),inverse(multiply(multiply(multiply(inverse(x4),x4),inverse(A)),x4)))))) = inverse(multiply(inverse(x102),x102)),
inference(cp,[status(thm)],[eq_13,eq_51]) ).
cnf(eq_57,plain,
A = multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(C),C))),A),
eq_55 ).
cnf(eq_58,plain,
inverse(multiply(inverse(A),A)) = inverse(multiply(inverse(B),B)),
inference(rw,[status(thm)],[eq_56,eq_13]) ).
cnf(eq_59,negated_conjecture,
multiply(multiply(inverse(A),A),a2) != a2,
inference(cp,[status(thm)],[eq_49,eq_53]) ).
cnf(eq_60,plain,
multiply(multiply(x100,inverse(multiply(multiply(multiply(inverse(x101),x101),inverse(multiply(inverse(multiply(x100,inverse(x101))),inverse(inverse(x103))))),x101))),inverse(multiply(multiply(multiply(inverse(x103),x103),inverse(x104)),x103))) = x104,
inference(cp,[status(thm)],[eq_57,eq_13]) ).
cnf(eq_61,plain,
multiply(inverse(B),A) = multiply(inverse(multiply(x104,B)),multiply(x104,A)),
inference(cp,[status(thm)],[eq_57,eq_43]) ).
cnf(eq_62,plain,
A = inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(multiply(C,inverse(multiply(multiply(multiply(inverse(x3),x3),inverse(multiply(inverse(multiply(C,inverse(x3))),inverse(inverse(B))))),x3))),A))),B)),
inference(cp,[status(thm)],[eq_7,eq_57]) ).
cnf(eq_63,plain,
A = inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(inverse(B)),A))),B)),
inference(rw,[status(thm)],[eq_62,eq_0]) ).
cnf(eq_64,plain,
A = multiply(inverse(inverse(B)),inverse(multiply(multiply(multiply(inverse(B),B),inverse(A)),B))),
inference(rw,[status(thm)],[eq_60,eq_0]) ).
cnf(eq_65,plain,
multiply(inverse(A),B) = multiply(inverse(multiply(C,A)),multiply(C,B)),
eq_61 ).
cnf(eq_66,plain,
multiply(inverse(multiply(A,B)),C) = multiply(inverse(multiply(inverse(x3),B)),multiply(inverse(multiply(A,x3)),C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_41,eq_65]),eq_65]) ).
cnf(eq_67,plain,
A = multiply(multiply(inverse(B),B),inverse(multiply(inverse(inverse(B)),inverse(multiply(A,B))))),
inference(rw,[status(thm)],[eq_20,eq_65]) ).
cnf(eq_68,plain,
inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(inverse(B)),x101))),B)) = x101,
inference(cp,[status(thm)],[eq_49,eq_63]) ).
cnf(eq_69,plain,
multiply(inverse(inverse(B)),inverse(multiply(multiply(multiply(inverse(A),A),inverse(x101)),B))) = x101,
inference(cp,[status(thm)],[eq_49,eq_64]) ).
cnf(eq_70,plain,
multiply(inverse(multiply(inverse(B),x101)),multiply(inverse(A),A)) = multiply(inverse(x101),B),
inference(cp,[status(thm)],[eq_49,eq_65]) ).
cnf(eq_71,plain,
A = multiply(inverse(multiply(inverse(B),B)),A),
inference(rw,[status(thm)],[eq_54,eq_64]) ).
cnf(eq_72,plain,
multiply(inverse(A),B) = multiply(inverse(multiply(inverse(B),A)),multiply(inverse(C),C)),
eq_70 ).
cnf(eq_73,plain,
A = multiply(inverse(inverse(B)),inverse(multiply(multiply(multiply(inverse(C),C),inverse(A)),B))),
eq_69 ).
cnf(eq_74,plain,
A = inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(inverse(C)),A))),C)),
eq_68 ).
cnf(eq_75,plain,
multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(inverse(B),A)),x102)) = multiply(inverse(multiply(inverse(C),C)),x102),
inference(cp,[status(thm)],[eq_72,eq_65]) ).
cnf(eq_76,plain,
A = multiply(inverse(multiply(inverse(B),C)),multiply(inverse(multiply(inverse(C),B)),A)),
inference(rw,[status(thm)],[eq_75,eq_71]) ).
cnf(eq_77,plain,
multiply(multiply(inverse(A),A),inverse(multiply(inverse(inverse(B)),inverse(multiply(x101,B))))) = x101,
inference(cp,[status(thm)],[eq_49,eq_67]) ).
cnf(eq_78,plain,
A = multiply(multiply(inverse(B),B),inverse(multiply(inverse(inverse(C)),inverse(multiply(A,C))))),
eq_77 ).
cnf(eq_79,plain,
multiply(multiply(inverse(x100),x100),inverse(multiply(inverse(inverse(B)),inverse(multiply(inverse(A),A))))) = inverse(B),
inference(cp,[status(thm)],[eq_58,eq_78]) ).
cnf(eq_80,plain,
inverse(A) = multiply(multiply(inverse(B),B),inverse(multiply(inverse(inverse(A)),inverse(multiply(inverse(C),C))))),
eq_79 ).
cnf(eq_81,plain,
multiply(multiply(inverse(x100),x100),inverse(multiply(inverse(A),inverse(multiply(inverse(x102),x102))))) = inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(inverse(C)),A))),C)),
inference(cp,[status(thm)],[eq_74,eq_80]) ).
cnf(eq_82,plain,
A = multiply(multiply(inverse(B),B),inverse(multiply(inverse(A),inverse(multiply(inverse(C),C))))),
inference(rw,[status(thm)],[eq_81,eq_74]) ).
cnf(eq_83,plain,
multiply(x100,inverse(multiply(multiply(x100,inverse(B)),B))) = inverse(multiply(inverse(C),C)),
inference(cp,[status(thm)],[eq_82,eq_0]) ).
cnf(eq_84,plain,
multiply(multiply(inverse(x100),x100),inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(x102),x102))))) = multiply(inverse(B),B),
inference(cp,[status(thm)],[eq_58,eq_82]) ).
cnf(eq_85,plain,
multiply(inverse(A),A) = multiply(multiply(inverse(B),B),inverse(inverse(multiply(inverse(C),C)))),
inference(rw,[status(thm)],[eq_84,eq_71]) ).
cnf(eq_86,plain,
inverse(multiply(inverse(A),A)) = multiply(B,inverse(multiply(multiply(B,inverse(C)),C))),
eq_83 ).
cnf(eq_87,plain,
multiply(inverse(inverse(x100)),inverse(multiply(inverse(multiply(inverse(A),A)),x100))) = multiply(multiply(multiply(inverse(x101),x101),inverse(C)),C),
inference(cp,[status(thm)],[eq_86,eq_73]) ).
cnf(eq_88,plain,
multiply(multiply(inverse(x100),x100),inverse(multiply(inverse(inverse(inverse(inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(A),A))))) = multiply(inverse(B),B),
inference(cp,[status(thm)],[eq_85,eq_78]) ).
cnf(eq_89,plain,
inverse(inverse(inverse(multiply(inverse(A),A)))) = multiply(inverse(B),B),
inference(rw,[status(thm)],[eq_88,eq_82]) ).
cnf(eq_90,plain,
multiply(inverse(inverse(A)),inverse(A)) = multiply(multiply(multiply(inverse(B),B),inverse(C)),C),
inference(rw,[status(thm)],[eq_87,eq_71]) ).
cnf(eq_91,negated_conjecture,
multiply(multiply(multiply(inverse(B),B),inverse(inverse(multiply(inverse(C),C)))),a2) != a2,
inference(cp,[status(thm)],[eq_85,eq_59]) ).
cnf(eq_92,negated_conjecture,
multiply(multiply(multiply(inverse(A),A),inverse(inverse(multiply(inverse(B),B)))),a2) != a2,
eq_91 ).
cnf(eq_93,plain,
multiply(multiply(inverse(x100),x100),inverse(multiply(inverse(inverse(C)),inverse(multiply(inverse(inverse(A)),inverse(A)))))) = multiply(multiply(inverse(B),B),inverse(C)),
inference(cp,[status(thm)],[eq_90,eq_78]) ).
cnf(eq_94,plain,
multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),x102) = multiply(inverse(multiply(inverse(x103),B)),multiply(inverse(multiply(inverse(B),x103)),x102)),
inference(cp,[status(thm)],[eq_89,eq_66]) ).
cnf(eq_95,plain,
A = multiply(inverse(inverse(inverse(inverse(multiply(inverse(B),B))))),A),
inference(rw,[status(thm)],[eq_94,eq_76]) ).
cnf(eq_96,plain,
inverse(A) = multiply(multiply(inverse(B),B),inverse(A)),
inference(rw,[status(thm)],[eq_93,eq_82]) ).
cnf(eq_97,negated_conjecture,
multiply(inverse(inverse(multiply(inverse(A),A))),a2) != a2,
inference(rw,[status(thm)],[eq_92,eq_96]) ).
cnf(eq_98,negated_conjecture,
multiply(inverse(inverse(multiply(multiply(inverse(B),B),inverse(inverse(multiply(inverse(A),A)))))),a2) != a2,
inference(cp,[status(thm)],[eq_89,eq_97]) ).
cnf(eq_99,negated_conjecture,
a2 != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_98,eq_96]),eq_95]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP413-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : run_maedmax %d %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 26 04:18:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 3.01/3.22 % SZS status Unsatisfiable
% 3.01/3.22 % SZS output start CNFRefutation for /tmp/MaedMax_15657
% See solution above
% 3.01/3.22
%------------------------------------------------------------------------------