TSTP Solution File: GRP438-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP438-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n005.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 13.62s 13.86s
% Output : CNFRefutation 13.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 2
% Syntax : Number of clauses : 71 ( 71 unt; 0 nHn; 3 RR)
% Number of literals : 71 ( 70 equ; 2 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 : 195 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = multiply(B,inverse(multiply(C,multiply(D,multiply(multiply(inverse(D),inverse(multiply(A,C))),B))))),
file('/tmp/MaedMax_18015') ).
cnf(eq_1,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_18015') ).
cnf(eq_2,plain,
multiply(x100,inverse(multiply(multiply(D,multiply(multiply(inverse(D),inverse(multiply(A,C))),inverse(x102))),multiply(x102,multiply(A,x100))))) = C,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
A = multiply(B,inverse(multiply(multiply(C,multiply(multiply(inverse(C),inverse(multiply(D,A))),inverse(x4))),multiply(x4,multiply(D,B))))),
eq_2 ).
cnf(eq_4,plain,
multiply(x100,inverse(multiply(multiply(x101,multiply(A,inverse(x104))),multiply(x104,multiply(C,x100))))) = multiply(D,multiply(multiply(inverse(D),inverse(multiply(A,C))),inverse(x101))),
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_5,plain,
multiply(x100,inverse(multiply(multiply(x101,multiply(multiply(inverse(x101),inverse(A)),inverse(x104))),multiply(x104,multiply(B,x100))))) = inverse(multiply(C,multiply(D,multiply(multiply(inverse(D),inverse(multiply(A,C))),B)))),
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_6,plain,
multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(D))),multiply(D,multiply(x4,A))))) = multiply(x5,multiply(multiply(inverse(x5),inverse(multiply(C,x4))),inverse(B))),
eq_4 ).
cnf(eq_7,plain,
inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),D)))) = multiply(x4,inverse(multiply(multiply(x5,multiply(multiply(inverse(x5),inverse(C)),inverse(x6))),multiply(x6,multiply(D,x4))))),
eq_5 ).
cnf(eq_8,plain,
multiply(x5,multiply(multiply(inverse(x5),inverse(multiply(C,multiply(inverse(D),inverse(multiply(x103,multiply(B,multiply(C,inverse(D))))))))),inverse(B))) = x103,
inference(cp,[status(thm)],[eq_6,eq_0]) ).
cnf(eq_9,plain,
multiply(D,multiply(x4,inverse(multiply(multiply(x5,multiply(multiply(inverse(x5),inverse(C)),inverse(x6))),multiply(x6,multiply(D,x4)))))) = C,
inference(cp,[status(thm)],[eq_7,eq_0]) ).
cnf(eq_10,plain,
inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(multiply(D,x103),A))),D)))) = x103,
inference(cp,[status(thm)],[eq_7,eq_3]) ).
cnf(eq_11,plain,
multiply(x5,multiply(multiply(inverse(x5),inverse(multiply(multiply(inverse(B),inverse(multiply(x4,x103))),x4))),inverse(B))) = x103,
inference(cp,[status(thm)],[eq_6,eq_3]) ).
cnf(eq_12,plain,
A = inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(multiply(multiply(D,A),B))),D)))),
eq_10 ).
cnf(eq_13,plain,
A = multiply(B,multiply(multiply(inverse(B),inverse(multiply(multiply(inverse(C),inverse(multiply(D,A))),D))),inverse(C))),
eq_11 ).
cnf(eq_14,plain,
A = multiply(B,multiply(C,inverse(multiply(multiply(D,multiply(multiply(inverse(D),inverse(A)),inverse(x4))),multiply(x4,multiply(B,C)))))),
eq_9 ).
cnf(eq_15,plain,
A = multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,multiply(inverse(D),inverse(multiply(A,multiply(x4,multiply(C,inverse(D))))))))),inverse(x4))),
eq_8 ).
cnf(eq_16,plain,
inverse(multiply(multiply(inverse(D),inverse(multiply(A,multiply(x4,multiply(multiply(inverse(x4),x103),inverse(D)))))),A)) = x103,
inference(cp,[status(thm)],[eq_15,eq_12]) ).
cnf(eq_17,plain,
multiply(multiply(inverse(D),inverse(multiply(A,multiply(x102,multiply(multiply(inverse(x102),inverse(x103)),inverse(D)))))),A) = x103,
inference(cp,[status(thm)],[eq_0,eq_14]) ).
cnf(eq_18,plain,
A = multiply(multiply(inverse(B),inverse(multiply(C,multiply(D,multiply(multiply(inverse(D),inverse(A)),inverse(B)))))),C),
eq_17 ).
cnf(eq_19,plain,
A = inverse(multiply(multiply(inverse(B),inverse(multiply(C,multiply(D,multiply(multiply(inverse(D),A),inverse(B)))))),C)),
eq_16 ).
cnf(eq_20,plain,
inverse(multiply(multiply(inverse(multiply(multiply(inverse(B),inverse(multiply(C,multiply(D,multiply(multiply(inverse(D),A),inverse(B)))))),C)),inverse(multiply(x101,multiply(x102,multiply(multiply(inverse(x102),x103),A))))),x101)) = x103,
inference(cp,[status(thm)],[eq_19,eq_19]) ).
cnf(eq_21,plain,
multiply(C,inverse(multiply(multiply(D,multiply(multiply(inverse(D),inverse(A)),inverse(B))),multiply(B,A)))) = C,
inference(cp,[status(thm)],[eq_18,eq_0]) ).
cnf(eq_22,plain,
multiply(x100,multiply(multiply(inverse(x100),inverse(multiply(multiply(inverse(multiply(multiply(inverse(B),inverse(multiply(C,multiply(D,multiply(multiply(inverse(D),A),inverse(B)))))),C)),inverse(multiply(x102,x103))),x102))),A)) = x103,
inference(cp,[status(thm)],[eq_19,eq_13]) ).
cnf(eq_23,plain,
multiply(multiply(A,inverse(multiply(x101,multiply(x102,multiply(multiply(inverse(x102),inverse(x103)),inverse(multiply(multiply(inverse(B),inverse(multiply(C,multiply(D,multiply(multiply(inverse(D),A),inverse(B)))))),C))))))),x101) = x103,
inference(cp,[status(thm)],[eq_19,eq_18]) ).
cnf(eq_24,plain,
multiply(multiply(inverse(C),inverse(multiply(x101,A))),x101) = multiply(multiply(inverse(C),inverse(multiply(D,A))),D),
inference(cp,[status(thm)],[eq_13,eq_18]) ).
cnf(eq_25,plain,
A = multiply(B,multiply(multiply(inverse(B),inverse(multiply(multiply(C,inverse(multiply(D,A))),D))),C)),
inference(rw,[status(thm)],[eq_22,eq_19]) ).
cnf(eq_26,plain,
A = multiply(multiply(B,inverse(multiply(C,multiply(D,multiply(multiply(inverse(D),inverse(A)),B))))),C),
inference(rw,[status(thm)],[eq_23,eq_19]) ).
cnf(eq_27,plain,
multiply(multiply(inverse(A),inverse(multiply(B,C))),B) = multiply(multiply(inverse(A),inverse(multiply(D,C))),D),
eq_24 ).
cnf(eq_28,plain,
A = multiply(A,inverse(multiply(multiply(B,multiply(multiply(inverse(B),inverse(C)),inverse(D))),multiply(D,C)))),
eq_21 ).
cnf(eq_29,plain,
A = inverse(multiply(multiply(B,inverse(multiply(C,multiply(D,multiply(multiply(inverse(D),A),B))))),C)),
inference(rw,[status(thm)],[eq_20,eq_19]) ).
cnf(eq_30,plain,
multiply(x100,multiply(multiply(inverse(x100),A),B)) = multiply(D,multiply(multiply(inverse(D),A),B)),
inference(cp,[status(thm)],[eq_29,eq_25]) ).
cnf(eq_31,plain,
multiply(multiply(A,inverse(multiply(x101,x102))),x101) = multiply(multiply(inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(multiply(multiply(D,A),B))),D)))),inverse(multiply(x103,x102))),x103),
inference(cp,[status(thm)],[eq_12,eq_27]) ).
cnf(eq_32,plain,
multiply(A,multiply(multiply(inverse(A),B),C)) = multiply(D,multiply(multiply(inverse(D),B),C)),
eq_30 ).
cnf(eq_33,plain,
multiply(multiply(A,inverse(multiply(B,C))),B) = multiply(multiply(A,inverse(multiply(D,C))),D),
inference(rw,[status(thm)],[eq_31,eq_12]) ).
cnf(eq_34,plain,
multiply(x100,multiply(inverse(x100),x102)) = multiply(x103,multiply(multiply(inverse(x103),inverse(multiply(multiply(B,multiply(multiply(inverse(B),inverse(C)),inverse(D))),multiply(D,C)))),x102)),
inference(cp,[status(thm)],[eq_28,eq_32]) ).
cnf(eq_35,plain,
multiply(multiply(x100,inverse(A)),A) = multiply(multiply(x100,inverse(multiply(x103,inverse(multiply(multiply(B,multiply(multiply(inverse(B),inverse(C)),inverse(D))),multiply(D,C)))))),x103),
inference(cp,[status(thm)],[eq_28,eq_33]) ).
cnf(eq_36,plain,
multiply(A,multiply(inverse(A),B)) = multiply(C,multiply(inverse(C),B)),
inference(rw,[status(thm)],[eq_34,eq_28]) ).
cnf(eq_37,plain,
multiply(multiply(A,inverse(B)),B) = multiply(multiply(A,inverse(C)),C),
inference(rw,[status(thm)],[eq_35,eq_28]) ).
cnf(eq_38,plain,
multiply(multiply(x103,x101),inverse(multiply(x101,multiply(x102,multiply(multiply(inverse(x102),inverse(C)),C))))) = x103,
inference(cp,[status(thm)],[eq_37,eq_0]) ).
cnf(eq_39,plain,
multiply(multiply(B,inverse(multiply(x101,multiply(x102,multiply(multiply(inverse(x102),inverse(C)),C))))),x101) = B,
inference(cp,[status(thm)],[eq_37,eq_26]) ).
cnf(eq_40,plain,
multiply(x100,inverse(x100)) = multiply(x102,multiply(inverse(x102),inverse(multiply(multiply(B,multiply(multiply(inverse(B),inverse(C)),inverse(D))),multiply(D,C))))),
inference(cp,[status(thm)],[eq_28,eq_36]) ).
cnf(eq_41,plain,
A = multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(D)),D))))),B),
eq_39 ).
cnf(eq_42,plain,
multiply(A,inverse(A)) = multiply(B,inverse(B)),
inference(rw,[status(thm)],[eq_40,eq_28]) ).
cnf(eq_43,plain,
A = multiply(multiply(A,B),inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(D)),D))))),
eq_38 ).
cnf(eq_44,plain,
multiply(C,multiply(multiply(inverse(C),inverse(D)),D)) = multiply(x101,inverse(x101)),
inference(cp,[status(thm)],[eq_43,eq_42]) ).
cnf(eq_45,plain,
multiply(x100,multiply(B,inverse(B))) = multiply(x102,multiply(inverse(x102),inverse(inverse(x100)))),
inference(cp,[status(thm)],[eq_42,eq_36]) ).
cnf(eq_46,plain,
multiply(A,inverse(A)) = multiply(B,multiply(multiply(inverse(B),inverse(C)),C)),
eq_44 ).
cnf(eq_47,plain,
multiply(A,multiply(B,inverse(B))) = multiply(C,multiply(inverse(C),inverse(inverse(A)))),
eq_45 ).
cnf(eq_48,plain,
multiply(x100,inverse(multiply(multiply(A,inverse(A)),multiply(x103,inverse(x103))))) = x100,
inference(cp,[status(thm)],[eq_46,eq_28]) ).
cnf(eq_49,plain,
multiply(multiply(x103,x101),inverse(multiply(x101,multiply(A,inverse(A))))) = x103,
inference(cp,[status(thm)],[eq_46,eq_0]) ).
cnf(eq_50,plain,
multiply(multiply(x100,inverse(multiply(x101,multiply(A,inverse(A))))),x101) = x100,
inference(cp,[status(thm)],[eq_46,eq_41]) ).
cnf(eq_51,plain,
A = multiply(multiply(A,inverse(multiply(B,multiply(C,inverse(C))))),B),
eq_50 ).
cnf(eq_52,plain,
A = multiply(multiply(A,B),inverse(multiply(B,multiply(C,inverse(C))))),
eq_49 ).
cnf(eq_53,plain,
A = multiply(A,inverse(multiply(multiply(B,inverse(B)),multiply(C,inverse(C))))),
eq_48 ).
cnf(eq_54,plain,
multiply(multiply(x100,multiply(A,inverse(multiply(multiply(x102,inverse(x102)),multiply(C,inverse(C)))))),inverse(A)) = x100,
inference(cp,[status(thm)],[eq_51,eq_52]) ).
cnf(eq_55,plain,
multiply(A,multiply(B,inverse(B))) = A,
inference(cp,[status(thm)],[eq_53,eq_51]) ).
cnf(eq_56,plain,
multiply(multiply(x100,inverse(A)),multiply(A,inverse(multiply(multiply(x102,inverse(x102)),multiply(C,inverse(C)))))) = x100,
inference(cp,[status(thm)],[eq_51,eq_51]) ).
cnf(eq_57,plain,
A = multiply(multiply(A,B),inverse(B)),
inference(rw,[status(thm)],[eq_54,eq_53]) ).
cnf(eq_58,plain,
A = multiply(multiply(A,inverse(B)),B),
inference(rw,[status(thm)],[eq_56,eq_53]) ).
cnf(eq_59,plain,
inverse(multiply(multiply(inverse(B),inverse(multiply(x101,multiply(x102,inverse(x102))))),x101)) = B,
inference(cp,[status(thm)],[eq_57,eq_29]) ).
cnf(eq_60,plain,
multiply(multiply(B,inverse(B)),A) = A,
inference(cp,[status(thm)],[eq_42,eq_58]) ).
cnf(eq_61,plain,
A = inverse(inverse(A)),
inference(rw,[status(thm)],[eq_59,eq_51]) ).
cnf(eq_62,plain,
A = multiply(B,multiply(inverse(B),A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_47,eq_55]),eq_61]) ).
cnf(eq_63,plain,
multiply(x100,A) = multiply(x103,multiply(multiply(inverse(x103),inverse(inverse(x100))),A)),
inference(cp,[status(thm)],[eq_60,eq_32]) ).
cnf(eq_64,plain,
multiply(A,B) = multiply(C,multiply(multiply(inverse(C),A),B)),
inference(rw,[status(thm)],[eq_63,eq_61]) ).
cnf(eq_65,plain,
multiply(inverse(A),multiply(A,x101)) = x101,
inference(cp,[status(thm)],[eq_61,eq_62]) ).
cnf(eq_66,plain,
A = multiply(inverse(B),multiply(B,A)),
eq_65 ).
cnf(eq_67,plain,
multiply(B,multiply(A,x102)) = multiply(multiply(B,A),x102),
inference(cp,[status(thm)],[eq_66,eq_64]) ).
cnf(eq_68,plain,
multiply(A,multiply(B,C)) = multiply(multiply(A,B),C),
eq_67 ).
cnf(eq_69,negated_conjecture,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(rw,[status(thm)],[eq_1,eq_68]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP438-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : run_maedmax %d %s
% 0.12/0.34 % Computer : n005.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 04:15:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 13.62/13.86 % SZS status Unsatisfiable
% 13.62/13.86 % SZS output start CNFRefutation for /tmp/MaedMax_18015
% See solution above
% 13.62/13.86
%------------------------------------------------------------------------------