TSTP Solution File: GRP432-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP432-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n006.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 1.36s 1.57s
% Output : CNFRefutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 2
% Syntax : Number of clauses : 64 ( 64 unt; 0 nHn; 4 RR)
% Number of literals : 64 ( 63 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 167 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = multiply(B,inverse(multiply(C,multiply(multiply(multiply(D,inverse(D)),inverse(multiply(A,C))),B)))),
file('/tmp/MaedMax_5848') ).
cnf(eq_1,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_5848') ).
cnf(eq_2,plain,
multiply(inverse(multiply(C,multiply(multiply(multiply(D,inverse(D)),inverse(multiply(A,C))),multiply(multiply(x102,inverse(x102)),inverse(multiply(x103,x101)))))),inverse(multiply(x101,A))) = x103,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
multiply(x100,inverse(multiply(multiply(multiply(multiply(D,inverse(D)),inverse(multiply(A,C))),multiply(x102,inverse(x102))),multiply(A,x100)))) = C,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_4,plain,
A = multiply(inverse(multiply(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,B))),multiply(multiply(x4,inverse(x4)),inverse(multiply(A,x5)))))),inverse(multiply(x5,D))),
eq_2 ).
cnf(eq_5,plain,
A = multiply(B,inverse(multiply(multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,A))),multiply(x4,inverse(x4))),multiply(D,B)))),
eq_3 ).
cnf(eq_6,plain,
multiply(x100,inverse(multiply(multiply(A,multiply(x104,inverse(x104))),multiply(multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,A))),multiply(x4,inverse(x4))),x100)))) = multiply(D,multiply(x101,inverse(x101))),
inference(cp,[status(thm)],[eq_5,eq_5]) ).
cnf(eq_7,plain,
multiply(x100,inverse(multiply(multiply(A,multiply(x104,inverse(x104))),multiply(C,x100)))) = multiply(multiply(multiply(D,inverse(D)),inverse(multiply(A,C))),multiply(x101,inverse(x101))),
inference(cp,[status(thm)],[eq_0,eq_5]) ).
cnf(eq_8,plain,
multiply(x100,inverse(multiply(multiply(multiply(multiply(x101,inverse(x101)),inverse(A)),multiply(x104,inverse(x104))),multiply(B,x100)))) = inverse(multiply(C,multiply(multiply(multiply(D,inverse(D)),inverse(multiply(A,C))),B))),
inference(cp,[status(thm)],[eq_0,eq_5]) ).
cnf(eq_9,plain,
multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(C))),multiply(multiply(multiply(multiply(D,inverse(D)),inverse(multiply(x4,B))),multiply(x5,inverse(x5))),A)))) = multiply(x4,multiply(x6,inverse(x6))),
eq_6 ).
cnf(eq_10,plain,
inverse(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,A))),D))) = multiply(x4,inverse(multiply(multiply(multiply(multiply(x5,inverse(x5)),inverse(C)),multiply(x6,inverse(x6))),multiply(D,x4)))),
eq_8 ).
cnf(eq_11,plain,
multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(C))),multiply(D,A)))) = multiply(multiply(multiply(x4,inverse(x4)),inverse(multiply(B,D))),multiply(x5,inverse(x5))),
eq_7 ).
cnf(eq_12,plain,
multiply(D,multiply(x4,inverse(multiply(multiply(multiply(multiply(x5,inverse(x5)),inverse(C)),multiply(x6,inverse(x6))),multiply(D,x4))))) = C,
inference(cp,[status(thm)],[eq_10,eq_0]) ).
cnf(eq_13,plain,
multiply(multiply(x5,inverse(x5)),inverse(multiply(D,multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(C))),multiply(D,A))))))) = B,
inference(cp,[status(thm)],[eq_11,eq_0]) ).
cnf(eq_14,plain,
inverse(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(multiply(D,x103),A))),D))) = x103,
inference(cp,[status(thm)],[eq_10,eq_5]) ).
cnf(eq_15,plain,
multiply(multiply(multiply(x4,inverse(x4)),inverse(multiply(multiply(multiply(x101,inverse(x101)),inverse(multiply(D,x103))),D))),multiply(x5,inverse(x5))) = x103,
inference(cp,[status(thm)],[eq_11,eq_5]) ).
cnf(eq_16,plain,
multiply(x100,inverse(multiply(multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(C))),multiply(D,A)))),multiply(B,x100)))) = D,
inference(cp,[status(thm)],[eq_11,eq_5]) ).
cnf(eq_17,plain,
multiply(x4,multiply(x6,inverse(x6))) = multiply(x4,multiply(x106,inverse(x106))),
inference(cp,[status(thm)],[eq_9,eq_9]) ).
cnf(eq_18,plain,
A = multiply(multiply(B,inverse(B)),inverse(multiply(C,multiply(D,inverse(multiply(multiply(A,multiply(x4,inverse(x4))),multiply(C,D))))))),
eq_13 ).
cnf(eq_19,plain,
A = multiply(B,multiply(C,inverse(multiply(multiply(multiply(multiply(D,inverse(D)),inverse(A)),multiply(x4,inverse(x4))),multiply(B,C))))),
eq_12 ).
cnf(eq_20,plain,
A = multiply(multiply(multiply(B,inverse(B)),inverse(multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,A))),D))),multiply(x4,inverse(x4))),
eq_15 ).
cnf(eq_21,plain,
multiply(A,multiply(B,inverse(B))) = multiply(A,multiply(C,inverse(C))),
eq_17 ).
cnf(eq_22,plain,
A = inverse(multiply(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(multiply(D,A),B))),D))),
eq_14 ).
cnf(eq_23,plain,
A = multiply(B,inverse(multiply(multiply(C,inverse(multiply(multiply(D,multiply(x4,inverse(x4))),multiply(A,C)))),multiply(D,B)))),
eq_16 ).
cnf(eq_24,plain,
multiply(inverse(multiply(multiply(x102,inverse(x102)),inverse(multiply(x103,A)))),inverse(multiply(A,multiply(B,inverse(B))))) = x103,
inference(cp,[status(thm)],[eq_21,eq_0]) ).
cnf(eq_25,plain,
multiply(x100,inverse(multiply(multiply(multiply(multiply(x101,inverse(x101)),inverse(multiply(A,multiply(B,inverse(B))))),multiply(x104,inverse(x104))),multiply(A,x100)))) = multiply(C,inverse(C)),
inference(cp,[status(thm)],[eq_21,eq_5]) ).
cnf(eq_26,plain,
multiply(inverse(multiply(D,A)),inverse(multiply(inverse(x103),multiply(multiply(C,inverse(C)),inverse(multiply(D,A)))))) = x103,
inference(cp,[status(thm)],[eq_20,eq_4]) ).
cnf(eq_27,plain,
multiply(multiply(multiply(x100,inverse(x100)),inverse(inverse(C))),multiply(x104,inverse(x104))) = C,
inference(cp,[status(thm)],[eq_20,eq_20]) ).
cnf(eq_28,plain,
multiply(A,inverse(A)) = multiply(B,inverse(B)),
inference(rw,[status(thm)],[eq_25,eq_5]) ).
cnf(eq_29,plain,
A = multiply(inverse(multiply(multiply(B,inverse(B)),inverse(multiply(A,C)))),inverse(multiply(C,multiply(D,inverse(D))))),
eq_24 ).
cnf(eq_30,plain,
A = multiply(inverse(multiply(B,C)),inverse(multiply(inverse(A),multiply(multiply(D,inverse(D)),inverse(multiply(B,C)))))),
eq_26 ).
cnf(eq_31,plain,
A = multiply(multiply(multiply(B,inverse(B)),inverse(inverse(A))),multiply(C,inverse(C))),
eq_27 ).
cnf(eq_32,plain,
inverse(multiply(inverse(multiply(x102,x103)),multiply(multiply(B,inverse(B)),x102))) = x103,
inference(cp,[status(thm)],[eq_28,eq_22]) ).
cnf(eq_33,plain,
multiply(x100,multiply(x101,inverse(multiply(A,multiply(x100,x101))))) = inverse(A),
inference(cp,[status(thm)],[eq_31,eq_19]) ).
cnf(eq_34,plain,
multiply(inverse(multiply(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(multiply(D,A),B))),D))),inverse(multiply(inverse(x102),multiply(multiply(x103,inverse(x103)),A)))) = x102,
inference(cp,[status(thm)],[eq_22,eq_30]) ).
cnf(eq_35,plain,
multiply(inverse(multiply(B,inverse(B))),inverse(multiply(inverse(x100),multiply(x103,inverse(x103))))) = x100,
inference(cp,[status(thm)],[eq_28,eq_29]) ).
cnf(eq_36,plain,
A = multiply(inverse(multiply(B,inverse(B))),inverse(multiply(inverse(A),multiply(C,inverse(C))))),
eq_35 ).
cnf(eq_37,plain,
A = multiply(B,inverse(multiply(inverse(A),multiply(multiply(C,inverse(C)),B)))),
inference(rw,[status(thm)],[eq_34,eq_22]) ).
cnf(eq_38,plain,
A = inverse(multiply(inverse(multiply(B,A)),multiply(multiply(C,inverse(C)),B))),
eq_32 ).
cnf(eq_39,plain,
inverse(A) = multiply(B,multiply(C,inverse(multiply(A,multiply(B,C))))),
eq_33 ).
cnf(eq_40,plain,
multiply(multiply(B,inverse(B)),A) = inverse(inverse(A)),
inference(cp,[status(thm)],[eq_36,eq_39]) ).
cnf(eq_41,plain,
multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,A))),multiply(D,multiply(x4,inverse(multiply(multiply(multiply(multiply(x5,inverse(x5)),inverse(C)),multiply(x6,inverse(x6))),multiply(D,x4)))))) = inverse(A),
inference(cp,[status(thm)],[eq_10,eq_39]) ).
cnf(eq_42,plain,
multiply(C,multiply(inverse(C),inverse(multiply(A,multiply(B,inverse(B)))))) = inverse(A),
inference(cp,[status(thm)],[eq_21,eq_39]) ).
cnf(eq_43,plain,
multiply(inverse(multiply(x100,inverse(x100))),A) = multiply(inverse(multiply(C,inverse(C))),A),
inference(cp,[status(thm)],[eq_38,eq_36]) ).
cnf(eq_44,plain,
multiply(inverse(multiply(A,inverse(A))),B) = multiply(inverse(multiply(C,inverse(C))),B),
eq_43 ).
cnf(eq_45,plain,
inverse(A) = multiply(B,multiply(inverse(B),inverse(multiply(A,multiply(C,inverse(C)))))),
eq_42 ).
cnf(eq_46,plain,
inverse(A) = multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,A))),C),
inference(rw,[status(thm)],[eq_41,eq_19]) ).
cnf(eq_47,plain,
A = multiply(B,inverse(multiply(inverse(A),inverse(inverse(B))))),
inference(rw,[status(thm)],[eq_37,eq_40]) ).
cnf(eq_48,plain,
inverse(A) = multiply(inverse(inverse(inverse(multiply(B,A)))),B),
inference(rw,[status(thm)],[eq_46,eq_40]) ).
cnf(eq_49,plain,
A = inverse(inverse(inverse(inverse(multiply(A,multiply(B,inverse(B))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_39]),eq_40]) ).
cnf(eq_50,plain,
multiply(x100,inverse(multiply(multiply(B,inverse(multiply(multiply(x102,multiply(x103,inverse(x103))),multiply(inverse(multiply(A,inverse(A))),B)))),multiply(x102,x100)))) = inverse(multiply(C,inverse(C))),
inference(cp,[status(thm)],[eq_44,eq_23]) ).
cnf(eq_51,plain,
inverse(multiply(A,inverse(A))) = inverse(multiply(B,inverse(B))),
inference(rw,[status(thm)],[eq_50,eq_23]) ).
cnf(eq_52,plain,
multiply(x101,inverse(multiply(B,inverse(B)))) = x101,
inference(cp,[status(thm)],[eq_51,eq_47]) ).
cnf(eq_53,plain,
A = multiply(A,inverse(multiply(B,inverse(B)))),
eq_52 ).
cnf(eq_54,plain,
multiply(x100,multiply(inverse(x100),inverse(multiply(x101,multiply(inverse(inverse(inverse(multiply(A,multiply(B,inverse(B)))))),A))))) = inverse(x101),
inference(cp,[status(thm)],[eq_49,eq_45]) ).
cnf(eq_55,plain,
multiply(x100,multiply(inverse(inverse(inverse(multiply(A,multiply(B,inverse(B)))))),A)) = multiply(x100,multiply(x102,inverse(x102))),
inference(cp,[status(thm)],[eq_49,eq_21]) ).
cnf(eq_56,plain,
inverse(A) = multiply(B,multiply(inverse(B),inverse(A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_54,eq_48]),eq_53]) ).
cnf(eq_57,plain,
A = multiply(A,multiply(B,inverse(B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_55,eq_48]),eq_53]) ).
cnf(eq_58,plain,
A = inverse(inverse(A)),
inference(cp,[status(thm)],[eq_57,eq_56]) ).
cnf(eq_59,plain,
inverse(A) = multiply(inverse(multiply(B,A)),B),
inference(rw,[status(thm)],[eq_48,eq_58]) ).
cnf(eq_60,plain,
multiply(x100,multiply(x101,inverse(inverse(A)))) = inverse(inverse(multiply(multiply(x100,x101),A))),
inference(cp,[status(thm)],[eq_59,eq_39]) ).
cnf(eq_61,plain,
multiply(A,multiply(B,C)) = multiply(multiply(A,B),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_60,eq_58]),eq_58]) ).
cnf(eq_62,negated_conjecture,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(rw,[status(thm)],[eq_1,eq_61]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP432-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n006.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 04:15:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.36/1.57 % SZS status Unsatisfiable
% 1.36/1.57 % SZS output start CNFRefutation for /tmp/MaedMax_5848
% See solution above
% 1.36/1.57
%------------------------------------------------------------------------------