TSTP Solution File: GRP442-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP442-1 : 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 07:02:45 EDT 2022
% Result : Unsatisfiable 14.79s 15.01s
% Output : CNFRefutation 14.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 2
% Syntax : Number of clauses : 76 ( 76 unt; 0 nHn; 6 RR)
% Number of literals : 76 ( 75 equ; 5 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 : 17 ( 17 usr; 15 con; 0-2 aty)
% Number of variables : 213 ( 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_31758') ).
cnf(eq_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/tmp/MaedMax_31758') ).
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 = 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_18,plain,
A = multiply(multiply(B,inverse(B)),inverse(multiply(inverse(multiply(C,multiply(D,A))),multiply(C,D)))),
eq_16 ).
cnf(eq_19,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_20,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_19,eq_10]) ).
cnf(eq_21,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_17]) ).
cnf(eq_22,plain,
A = inverse(multiply(inverse(multiply(B,multiply(C,multiply(multiply(D,inverse(D)),A)))),multiply(B,C))),
eq_21 ).
cnf(eq_23,plain,
multiply(A,inverse(A)) = multiply(B,inverse(B)),
inference(rw,[status(thm)],[eq_20,eq_10]) ).
cnf(eq_24,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_23,eq_22]) ).
cnf(eq_25,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_23,eq_18]) ).
cnf(eq_26,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_23,eq_18]) ).
cnf(eq_27,plain,
inverse(A) = multiply(multiply(B,inverse(B)),inverse(multiply(inverse(multiply(C,multiply(D,inverse(D)))),multiply(C,A)))),
eq_25 ).
cnf(eq_28,plain,
inverse(multiply(A,inverse(A))) = inverse(multiply(inverse(multiply(B,multiply(C,multiply(D,inverse(D))))),multiply(B,C))),
eq_24 ).
cnf(eq_29,plain,
A = multiply(multiply(B,inverse(B)),inverse(multiply(inverse(multiply(C,multiply(inverse(C),A))),multiply(D,inverse(D))))),
eq_26 ).
cnf(eq_30,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_29,eq_5]) ).
cnf(eq_31,plain,
inverse(multiply(D,multiply(inverse(D),A))) = inverse(multiply(C,multiply(inverse(C),A))),
inference(cp,[status(thm)],[eq_29,eq_0]) ).
cnf(eq_32,plain,
inverse(multiply(A,multiply(inverse(A),B))) = inverse(multiply(C,multiply(inverse(C),B))),
eq_31 ).
cnf(eq_33,plain,
A = inverse(multiply(inverse(A),multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(D,multiply(inverse(D),B))))))),
eq_30 ).
cnf(eq_34,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_32,eq_33]) ).
cnf(eq_35,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_28,eq_33]) ).
cnf(eq_36,plain,
inverse(multiply(inverse(x100),multiply(inverse(inverse(inverse(multiply(C,multiply(inverse(C),A))))),A))) = x100,
inference(cp,[status(thm)],[eq_29,eq_33]) ).
cnf(eq_37,plain,
inverse(multiply(x100,multiply(B,inverse(B)))) = inverse(multiply(x102,multiply(inverse(x102),inverse(inverse(x100))))),
inference(cp,[status(thm)],[eq_23,eq_32]) ).
cnf(eq_38,plain,
multiply(A,multiply(inverse(A),B)) = multiply(C,multiply(inverse(C),B)),
inference(rw,[status(thm)],[eq_34,eq_33]) ).
cnf(eq_39,plain,
multiply(A,inverse(A)) = multiply(inverse(multiply(B,multiply(C,multiply(D,inverse(D))))),multiply(B,C)),
inference(rw,[status(thm)],[eq_35,eq_33]) ).
cnf(eq_40,plain,
inverse(multiply(A,multiply(B,inverse(B)))) = inverse(multiply(C,multiply(inverse(C),inverse(inverse(A))))),
eq_37 ).
cnf(eq_41,plain,
A = inverse(multiply(inverse(A),multiply(inverse(inverse(inverse(multiply(B,multiply(inverse(B),C))))),C))),
eq_36 ).
cnf(eq_42,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_40,eq_33]) ).
cnf(eq_43,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_39,eq_18]) ).
cnf(eq_44,plain,
multiply(A,multiply(B,inverse(B))) = multiply(C,multiply(inverse(C),inverse(inverse(A)))),
inference(rw,[status(thm)],[eq_42,eq_33]) ).
cnf(eq_45,plain,
inverse(inverse(multiply(A,multiply(B,multiply(C,inverse(C)))))) = multiply(A,B),
inference(rw,[status(thm)],[eq_43,eq_27]) ).
cnf(eq_46,plain,
inverse(A) = multiply(inverse(A),inverse(inverse(inverse(multiply(B,multiply(inverse(B),multiply(x102,inverse(x102)))))))),
inference(cp,[status(thm)],[eq_41,eq_45]) ).
cnf(eq_47,plain,
inverse(inverse(multiply(x100,multiply(A,multiply(inverse(A),inverse(inverse(C))))))) = multiply(x100,C),
inference(cp,[status(thm)],[eq_38,eq_45]) ).
cnf(eq_48,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_44,eq_41]) ).
cnf(eq_49,plain,
inverse(inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(inverse(C))))))) = multiply(A,C),
eq_47 ).
cnf(eq_50,plain,
A = inverse(multiply(inverse(A),multiply(B,multiply(inverse(B),inverse(inverse(inverse(multiply(C,inverse(C))))))))),
inference(rw,[status(thm)],[eq_48,eq_45]) ).
cnf(eq_51,plain,
inverse(A) = multiply(inverse(A),inverse(multiply(B,inverse(B)))),
inference(rw,[status(thm)],[eq_46,eq_45]) ).
cnf(eq_52,plain,
inverse(multiply(inverse(x100),multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(multiply(B,inverse(B)))))) = x100,
inference(cp,[status(thm)],[eq_51,eq_41]) ).
cnf(eq_53,plain,
inverse(inverse(multiply(A,multiply(inverse(A),multiply(inverse(inverse(C)),inverse(inverse(x102))))))) = multiply(C,x102),
inference(cp,[status(thm)],[eq_38,eq_49]) ).
cnf(eq_54,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_32,eq_49]) ).
cnf(eq_55,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_51]) ).
cnf(eq_56,plain,
A = inverse(multiply(inverse(A),multiply(inverse(inverse(inverse(multiply(B,inverse(B))))),inverse(multiply(C,inverse(C)))))),
eq_52 ).
cnf(eq_57,plain,
A = multiply(A,inverse(multiply(B,inverse(B)))),
inference(rw,[status(thm)],[eq_55,eq_13]) ).
cnf(eq_58,plain,
inverse(inverse(multiply(A,multiply(inverse(A),multiply(inverse(inverse(B)),inverse(inverse(C))))))) = multiply(B,C),
eq_53 ).
cnf(eq_59,plain,
A = inverse(multiply(inverse(A),inverse(inverse(inverse(multiply(B,inverse(B))))))),
inference(rw,[status(thm)],[eq_56,eq_57]) ).
cnf(eq_60,plain,
multiply(A,multiply(B,multiply(inverse(B),C))) = multiply(A,multiply(D,multiply(inverse(D),C))),
inference(rw,[status(thm)],[eq_54,eq_49]) ).
cnf(eq_61,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_50,eq_27]) ).
cnf(eq_62,plain,
A = multiply(multiply(B,inverse(B)),multiply(A,multiply(C,inverse(C)))),
inference(rw,[status(thm)],[eq_61,eq_59]) ).
cnf(eq_63,plain,
inverse(inverse(inverse(multiply(B,inverse(B))))) = multiply(x101,inverse(x101)),
inference(cp,[status(thm)],[eq_62,eq_58]) ).
cnf(eq_64,plain,
multiply(x100,inverse(multiply(B,inverse(B)))) = multiply(x100,multiply(x103,multiply(inverse(x103),multiply(C,inverse(C))))),
inference(cp,[status(thm)],[eq_62,eq_60]) ).
cnf(eq_65,plain,
A = multiply(A,multiply(B,multiply(inverse(B),multiply(C,inverse(C))))),
inference(rw,[status(thm)],[eq_64,eq_57]) ).
cnf(eq_66,plain,
inverse(inverse(inverse(multiply(A,inverse(A))))) = multiply(B,inverse(B)),
eq_63 ).
cnf(eq_67,plain,
inverse(multiply(inverse(x100),multiply(x101,multiply(inverse(x101),multiply(B,inverse(B)))))) = x100,
inference(cp,[status(thm)],[eq_66,eq_50]) ).
cnf(eq_68,plain,
A = inverse(inverse(A)),
inference(rw,[status(thm)],[eq_67,eq_65]) ).
cnf(eq_69,plain,
multiply(inverse(A),A) = multiply(x101,inverse(x101)),
inference(cp,[status(thm)],[eq_68,eq_23]) ).
cnf(eq_70,plain,
multiply(A,inverse(A)) = multiply(inverse(B),B),
eq_69 ).
cnf(eq_71,negated_conjecture,
multiply(A,inverse(A)) != multiply(inverse(a1),a1),
inference(cp,[status(thm)],[eq_70,eq_1]) ).
cnf(eq_72,negated_conjecture,
multiply(A,inverse(A)) != multiply(x100,inverse(x100)),
inference(cp,[status(thm)],[eq_70,eq_71]) ).
cnf(eq_73,negated_conjecture,
multiply(A,inverse(A)) != multiply(B,inverse(B)),
eq_72 ).
cnf(eq_74,negated_conjecture,
multiply(A,inverse(A)) != multiply(A,inverse(A)),
eq_73 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP442-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n024.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 04:14:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 14.79/15.01 % SZS status Unsatisfiable
% 14.79/15.01 % SZS output start CNFRefutation for /tmp/MaedMax_31758
% See solution above
% 14.79/15.01
%------------------------------------------------------------------------------