TSTP Solution File: GRP440-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP440-1 : 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 49.19s 49.35s
% Output : CNFRefutation 49.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 2
% Syntax : Number of clauses : 83 ( 83 unt; 0 nHn; 6 RR)
% Number of literals : 83 ( 82 equ; 4 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 : 18 ( 18 usr; 16 con; 0-2 aty)
% Number of variables : 245 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),D),inverse(multiply(A,multiply(B,D))))))),
file('/tmp/MaedMax_20726') ).
cnf(eq_1,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/tmp/MaedMax_20726') ).
cnf(eq_2,plain,
inverse(multiply(x100,multiply(multiply(B,multiply(C,multiply(multiply(inverse(C),D),inverse(multiply(A,multiply(B,D)))))),multiply(multiply(A,x102),inverse(multiply(x103,multiply(x100,x102))))))) = x103,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
inverse(multiply(C,multiply(x101,multiply(multiply(inverse(x101),multiply(multiply(inverse(C),D),inverse(multiply(A,multiply(B,D))))),A)))) = B,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_4,plain,
A = inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(multiply(inverse(B),D),inverse(multiply(x4,multiply(A,D))))),x4)))),
eq_3 ).
cnf(eq_5,plain,
A = inverse(multiply(B,multiply(multiply(C,multiply(D,multiply(multiply(inverse(D),x4),inverse(multiply(x5,multiply(C,x4)))))),multiply(multiply(x5,x6),inverse(multiply(A,multiply(B,x6))))))),
eq_2 ).
cnf(eq_6,plain,
inverse(multiply(x100,multiply(x101,multiply(multiply(inverse(x101),multiply(multiply(inverse(x100),multiply(multiply(x5,x6),inverse(multiply(A,multiply(B,x6))))),A)),B)))) = multiply(C,multiply(D,multiply(multiply(inverse(D),x4),inverse(multiply(x5,multiply(C,x4)))))),
inference(cp,[status(thm)],[eq_5,eq_4]) ).
cnf(eq_7,plain,
inverse(multiply(x100,multiply(x101,multiply(multiply(inverse(x101),multiply(multiply(inverse(x100),multiply(multiply(inverse(C),D),inverse(multiply(A,multiply(B,D))))),A)),B)))) = C,
inference(cp,[status(thm)],[eq_0,eq_4]) ).
cnf(eq_8,plain,
A = inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(multiply(inverse(B),multiply(multiply(inverse(A),D),inverse(multiply(x4,multiply(x5,D))))),x4)),x5)))),
eq_7 ).
cnf(eq_9,plain,
inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(inverse(A),multiply(multiply(C,D),inverse(multiply(x4,multiply(x5,D))))),x4)),x5)))) = multiply(x6,multiply(x7,multiply(multiply(inverse(x7),x8),inverse(multiply(C,multiply(x6,x8)))))),
eq_6 ).
cnf(eq_10,plain,
inverse(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(inverse(A),multiply(multiply(C,D),inverse(multiply(x4,multiply(x5,D))))),x4)),x5))))) = C,
inference(cp,[status(thm)],[eq_9,eq_0]) ).
cnf(eq_11,plain,
A = multiply(x106,multiply(x107,multiply(multiply(inverse(x107),x108),inverse(multiply(inverse(A),multiply(x106,x108)))))),
inference(cp,[status(thm)],[eq_8,eq_9]) ).
cnf(eq_12,plain,
A = multiply(B,multiply(C,multiply(multiply(inverse(C),D),inverse(multiply(inverse(A),multiply(B,D)))))),
eq_11 ).
cnf(eq_13,plain,
A = inverse(inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(multiply(inverse(B),multiply(multiply(A,D),inverse(multiply(x4,multiply(x5,D))))),x4)),x5))))),
eq_10 ).
cnf(eq_14,plain,
inverse(multiply(B,multiply(x101,multiply(multiply(inverse(x101),multiply(C,multiply(multiply(inverse(C),D),inverse(multiply(inverse(A),multiply(B,D)))))),inverse(multiply(x103,A)))))) = x103,
inference(cp,[status(thm)],[eq_12,eq_0]) ).
cnf(eq_15,plain,
multiply(x100,multiply(x101,multiply(A,inverse(multiply(inverse(x103),multiply(x100,multiply(C,multiply(multiply(inverse(C),D),inverse(multiply(inverse(A),multiply(inverse(x101),D))))))))))) = x103,
inference(cp,[status(thm)],[eq_12,eq_12]) ).
cnf(eq_16,plain,
multiply(B,multiply(x101,multiply(multiply(inverse(x101),multiply(C,multiply(multiply(inverse(C),D),inverse(multiply(inverse(A),multiply(B,D)))))),inverse(multiply(inverse(x103),A))))) = x103,
inference(cp,[status(thm)],[eq_12,eq_12]) ).
cnf(eq_17,plain,
A = multiply(B,multiply(C,multiply(D,inverse(multiply(inverse(A),multiply(B,multiply(x4,multiply(multiply(inverse(x4),x5),inverse(multiply(inverse(D),multiply(inverse(C),x5))))))))))),
eq_15 ).
cnf(eq_18,plain,
A = inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),x4),inverse(multiply(inverse(x5),multiply(B,x4)))))),inverse(multiply(A,x5)))))),
eq_14 ).
cnf(eq_19,plain,
A = multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),x4),inverse(multiply(inverse(x5),multiply(B,x4)))))),inverse(multiply(inverse(A),x5))))),
eq_16 ).
cnf(eq_20,plain,
inverse(multiply(inverse(x101),multiply(x101,multiply(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(inverse(A),multiply(multiply(inverse(x104),D),inverse(multiply(x4,multiply(x5,D))))),x4)),x5)))),inverse(multiply(x105,x104)))))) = x105,
inference(cp,[status(thm)],[eq_9,eq_18]) ).
cnf(eq_21,plain,
multiply(inverse(x101),multiply(x101,multiply(x102,inverse(multiply(inverse(x103),inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(inverse(A),multiply(multiply(inverse(x102),D),inverse(multiply(x4,multiply(x5,D))))),x4)),x5))))))))) = x103,
inference(cp,[status(thm)],[eq_9,eq_17]) ).
cnf(eq_22,plain,
A = inverse(multiply(inverse(B),multiply(B,multiply(C,inverse(multiply(A,C)))))),
inference(rw,[status(thm)],[eq_20,eq_8]) ).
cnf(eq_23,plain,
A = multiply(inverse(B),multiply(B,multiply(C,inverse(multiply(inverse(A),C))))),
inference(rw,[status(thm)],[eq_21,eq_8]) ).
cnf(eq_24,plain,
inverse(multiply(B,multiply(x101,multiply(multiply(inverse(x101),multiply(x102,multiply(multiply(inverse(x102),multiply(C,inverse(multiply(A,C)))),A))),inverse(multiply(x105,B)))))) = x105,
inference(cp,[status(thm)],[eq_22,eq_18]) ).
cnf(eq_25,plain,
multiply(B,multiply(x101,multiply(multiply(inverse(x101),multiply(x102,multiply(multiply(inverse(x102),multiply(C,inverse(multiply(inverse(A),C)))),inverse(A)))),inverse(multiply(inverse(x105),B))))) = x105,
inference(cp,[status(thm)],[eq_23,eq_19]) ).
cnf(eq_26,plain,
multiply(B,multiply(x101,multiply(multiply(inverse(x101),multiply(C,inverse(multiply(A,C)))),A))) = inverse(multiply(x104,multiply(x105,multiply(multiply(inverse(x105),multiply(multiply(inverse(x104),multiply(multiply(inverse(B),x106),inverse(multiply(x107,multiply(x108,x106))))),x107)),x108)))),
inference(cp,[status(thm)],[eq_22,eq_9]) ).
cnf(eq_27,plain,
multiply(inverse(x100),multiply(x100,multiply(multiply(B,multiply(C,inverse(multiply(A,C)))),A))) = B,
inference(cp,[status(thm)],[eq_22,eq_23]) ).
cnf(eq_28,plain,
multiply(inverse(x100),multiply(x100,multiply(x101,inverse(multiply(A,x101))))) = multiply(inverse(B),multiply(B,multiply(C,inverse(multiply(A,C))))),
inference(cp,[status(thm)],[eq_22,eq_23]) ).
cnf(eq_29,plain,
A = multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(multiply(D,C)))),D))),
inference(rw,[status(thm)],[eq_26,eq_8]) ).
cnf(eq_30,plain,
A = multiply(inverse(B),multiply(B,multiply(multiply(A,multiply(C,inverse(multiply(D,C)))),D))),
eq_27 ).
cnf(eq_31,plain,
multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B))))) = multiply(inverse(D),multiply(D,multiply(x4,inverse(multiply(C,x4))))),
eq_28 ).
cnf(eq_32,plain,
A = inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),multiply(x4,inverse(multiply(x5,x4)))),x5))),inverse(multiply(A,B)))))),
eq_24 ).
cnf(eq_33,plain,
A = multiply(B,multiply(C,multiply(inverse(C),inverse(multiply(inverse(A),B))))),
inference(rw,[status(thm)],[eq_25,eq_29]) ).
cnf(eq_34,plain,
A = inverse(multiply(B,multiply(C,multiply(inverse(C),inverse(multiply(A,B)))))),
inference(rw,[status(thm)],[eq_32,eq_29]) ).
cnf(eq_35,plain,
inverse(multiply(inverse(x100),multiply(x100,multiply(multiply(C,multiply(inverse(C),inverse(multiply(A,B)))),A)))) = B,
inference(cp,[status(thm)],[eq_34,eq_22]) ).
cnf(eq_36,plain,
multiply(x100,multiply(x101,multiply(multiply(inverse(x101),multiply(multiply(C,multiply(inverse(C),inverse(multiply(A,B)))),A)),B))) = x100,
inference(cp,[status(thm)],[eq_34,eq_29]) ).
cnf(eq_37,plain,
multiply(inverse(x100),multiply(x100,multiply(multiply(x101,multiply(multiply(C,multiply(inverse(C),inverse(multiply(A,B)))),A)),B))) = x101,
inference(cp,[status(thm)],[eq_34,eq_30]) ).
cnf(eq_38,plain,
multiply(multiply(C,multiply(inverse(C),inverse(multiply(A,inverse(x102))))),multiply(x101,multiply(inverse(x101),A))) = x102,
inference(cp,[status(thm)],[eq_34,eq_33]) ).
cnf(eq_39,plain,
multiply(multiply(B,multiply(C,inverse(multiply(A,C)))),multiply(x101,multiply(inverse(x101),A))) = B,
inference(cp,[status(thm)],[eq_22,eq_33]) ).
cnf(eq_40,plain,
multiply(multiply(B,multiply(multiply(A,multiply(C,inverse(multiply(D,C)))),D)),multiply(x101,multiply(inverse(x101),inverse(A)))) = B,
inference(cp,[status(thm)],[eq_30,eq_33]) ).
cnf(eq_41,plain,
A = multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,multiply(inverse(C),inverse(multiply(D,x4)))),D)),x4))),
eq_36 ).
cnf(eq_42,plain,
A = multiply(inverse(B),multiply(B,multiply(multiply(A,multiply(multiply(C,multiply(inverse(C),inverse(multiply(D,x4)))),D)),x4))),
eq_37 ).
cnf(eq_43,plain,
A = inverse(multiply(inverse(B),multiply(B,multiply(multiply(C,multiply(inverse(C),inverse(multiply(D,A)))),D)))),
eq_35 ).
cnf(eq_44,plain,
A = multiply(multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(D,C)))),D)),multiply(x4,multiply(inverse(x4),inverse(B)))),
eq_40 ).
cnf(eq_45,plain,
A = multiply(multiply(A,multiply(B,inverse(multiply(C,B)))),multiply(D,multiply(inverse(D),C))),
eq_39 ).
cnf(eq_46,plain,
A = multiply(multiply(B,multiply(inverse(B),inverse(multiply(C,inverse(A))))),multiply(D,multiply(inverse(D),C))),
eq_38 ).
cnf(eq_47,plain,
multiply(multiply(x100,multiply(multiply(C,multiply(inverse(C),inverse(multiply(A,B)))),A)),multiply(x103,multiply(inverse(x103),B))) = x100,
inference(cp,[status(thm)],[eq_34,eq_45]) ).
cnf(eq_48,plain,
A = multiply(multiply(A,multiply(multiply(B,multiply(inverse(B),inverse(multiply(C,D)))),C)),multiply(x4,multiply(inverse(x4),D))),
eq_47 ).
cnf(eq_49,plain,
inverse(inverse(multiply(x100,multiply(x101,inverse(x101))))) = multiply(x4,multiply(inverse(x4),inverse(inverse(x100)))),
inference(cp,[status(thm)],[eq_44,eq_13]) ).
cnf(eq_50,plain,
multiply(inverse(x100),multiply(x100,multiply(multiply(x101,multiply(multiply(x102,multiply(inverse(x102),inverse(A))),A)),multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(multiply(D,C)))),D))))) = x101,
inference(cp,[status(thm)],[eq_29,eq_42]) ).
cnf(eq_51,plain,
A = multiply(inverse(B),multiply(B,multiply(A,multiply(multiply(C,multiply(inverse(C),inverse(D))),D)))),
inference(rw,[status(thm)],[eq_50,eq_29]) ).
cnf(eq_52,plain,
inverse(inverse(multiply(A,multiply(B,inverse(B))))) = multiply(C,multiply(inverse(C),inverse(inverse(A)))),
eq_49 ).
cnf(eq_53,plain,
multiply(x101,multiply(x102,inverse(multiply(multiply(multiply(C,multiply(inverse(C),inverse(D))),D),x102)))) = x101,
inference(cp,[status(thm)],[eq_51,eq_30]) ).
cnf(eq_54,plain,
multiply(multiply(x100,multiply(multiply(x101,multiply(inverse(x101),inverse(multiply(x102,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,multiply(inverse(C),inverse(multiply(D,x4)))),D)),x4)))))),x102)),multiply(x104,inverse(x104))) = x100,
inference(cp,[status(thm)],[eq_41,eq_48]) ).
cnf(eq_55,plain,
inverse(inverse(multiply(A,multiply(B,inverse(B))))) = inverse(inverse(multiply(A,multiply(x102,inverse(x102))))),
inference(cp,[status(thm)],[eq_52,eq_52]) ).
cnf(eq_56,plain,
A = multiply(multiply(A,multiply(multiply(B,multiply(inverse(B),inverse(C))),C)),multiply(D,inverse(D))),
inference(rw,[status(thm)],[eq_54,eq_41]) ).
cnf(eq_57,plain,
inverse(inverse(multiply(A,multiply(B,inverse(B))))) = inverse(inverse(multiply(A,multiply(C,inverse(C))))),
eq_55 ).
cnf(eq_58,plain,
A = multiply(A,multiply(B,inverse(multiply(multiply(multiply(C,multiply(inverse(C),inverse(D))),D),B)))),
eq_53 ).
cnf(eq_59,plain,
inverse(multiply(inverse(A),A)) = multiply(multiply(C,multiply(inverse(C),inverse(D))),D),
inference(cp,[status(thm)],[eq_58,eq_34]) ).
cnf(eq_60,plain,
multiply(multiply(x100,multiply(inverse(x100),inverse(multiply(x101,inverse(inverse(multiply(A,multiply(B,inverse(B))))))))),multiply(x103,multiply(inverse(x103),x101))) = inverse(multiply(A,multiply(C,inverse(C)))),
inference(cp,[status(thm)],[eq_57,eq_46]) ).
cnf(eq_61,plain,
A = inverse(inverse(multiply(multiply(A,multiply(multiply(B,multiply(inverse(B),inverse(C))),C)),multiply(x102,inverse(x102))))),
inference(cp,[status(thm)],[eq_56,eq_52]) ).
cnf(eq_62,plain,
inverse(multiply(A,multiply(B,inverse(B)))) = inverse(multiply(A,multiply(C,inverse(C)))),
inference(rw,[status(thm)],[eq_60,eq_46]) ).
cnf(eq_63,plain,
inverse(multiply(inverse(A),A)) = multiply(multiply(B,multiply(inverse(B),inverse(C))),C),
eq_59 ).
cnf(eq_64,plain,
inverse(multiply(inverse(x100),multiply(x100,multiply(multiply(x101,multiply(inverse(x101),inverse(multiply(A,multiply(B,inverse(B)))))),A)))) = multiply(C,inverse(C)),
inference(cp,[status(thm)],[eq_62,eq_43]) ).
cnf(eq_65,plain,
multiply(multiply(x100,inverse(multiply(inverse(A),A))),multiply(x103,inverse(x103))) = x100,
inference(cp,[status(thm)],[eq_63,eq_56]) ).
cnf(eq_66,plain,
multiply(inverse(A),A) = multiply(inverse(x103),multiply(x103,multiply(x104,inverse(multiply(multiply(multiply(C,multiply(inverse(C),inverse(D))),D),x104))))),
inference(cp,[status(thm)],[eq_58,eq_31]) ).
cnf(eq_67,plain,
multiply(inverse(A),A) = multiply(inverse(B),B),
inference(rw,[status(thm)],[eq_66,eq_58]) ).
cnf(eq_68,plain,
multiply(A,inverse(A)) = multiply(B,inverse(B)),
inference(rw,[status(thm)],[eq_64,eq_43]) ).
cnf(eq_69,plain,
A = inverse(inverse(A)),
inference(rw,[status(thm)],[eq_61,eq_56]) ).
cnf(eq_70,plain,
A = multiply(multiply(A,inverse(multiply(inverse(B),B))),multiply(C,inverse(C))),
eq_65 ).
cnf(eq_71,plain,
multiply(inverse(A),A) = multiply(x101,inverse(x101)),
inference(cp,[status(thm)],[eq_69,eq_68]) ).
cnf(eq_72,plain,
multiply(A,inverse(A)) = multiply(inverse(B),B),
eq_71 ).
cnf(eq_73,negated_conjecture,
multiply(multiply(inverse(A),A),a2) != a2,
inference(cp,[status(thm)],[eq_67,eq_1]) ).
cnf(eq_74,plain,
multiply(x100,multiply(inverse(multiply(inverse(x102),x100)),multiply(A,inverse(A)))) = x102,
inference(cp,[status(thm)],[eq_72,eq_33]) ).
cnf(eq_75,negated_conjecture,
multiply(multiply(A,inverse(A)),a2) != a2,
inference(cp,[status(thm)],[eq_72,eq_73]) ).
cnf(eq_76,plain,
multiply(multiply(x100,inverse(inverse(multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,multiply(inverse(C),inverse(multiply(D,x4)))),D)),x4))))),multiply(x102,inverse(x102))) = x100,
inference(cp,[status(thm)],[eq_41,eq_70]) ).
cnf(eq_77,plain,
A = multiply(A,multiply(B,inverse(B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_76,eq_69]),eq_41]) ).
cnf(eq_78,plain,
A = multiply(B,inverse(multiply(inverse(A),B))),
inference(rw,[status(thm)],[eq_74,eq_77]) ).
cnf(eq_79,plain,
multiply(multiply(B,inverse(B)),inverse(inverse(x101))) = x101,
inference(cp,[status(thm)],[eq_77,eq_78]) ).
cnf(eq_80,plain,
A = multiply(multiply(B,inverse(B)),A),
inference(rw,[status(thm)],[eq_79,eq_69]) ).
cnf(eq_81,negated_conjecture,
a2 != a2,
inference(rw,[status(thm)],[eq_75,eq_80]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP440-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 04:09:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 49.19/49.35 % SZS status Unsatisfiable
% 49.19/49.35 % SZS output start CNFRefutation for /tmp/MaedMax_20726
% See solution above
% 49.19/49.36
%------------------------------------------------------------------------------