TSTP Solution File: GRP435-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP435-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n014.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 21.31s 21.53s
% Output : CNFRefutation 21.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 2
% Syntax : Number of clauses : 64 ( 64 unt; 0 nHn; 3 RR)
% Number of literals : 64 ( 63 equ; 2 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 : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 144 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = inverse(multiply(multiply(multiply(inverse(multiply(multiply(B,C),A)),B),C),multiply(D,inverse(D)))),
file('/tmp/MaedMax_21103') ).
cnf(eq_1,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_21103') ).
cnf(eq_2,plain,
inverse(multiply(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C),multiply(x103,inverse(x103)))) = multiply(D,inverse(D)),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
multiply(A,inverse(A)) = inverse(multiply(multiply(multiply(B,multiply(inverse(multiply(multiply(C,D),B)),C)),D),multiply(x4,inverse(x4)))),
eq_2 ).
cnf(eq_4,plain,
multiply(A,inverse(A)) = multiply(x104,inverse(x104)),
inference(cp,[status(thm)],[eq_3,eq_3]) ).
cnf(eq_5,plain,
inverse(multiply(multiply(multiply(inverse(inverse(multiply(multiply(multiply(B,multiply(inverse(multiply(multiply(C,D),B)),C)),D),multiply(x4,inverse(x4))))),x100),x101),multiply(x103,inverse(x103)))) = inverse(multiply(x100,x101)),
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_6,plain,
multiply(A,inverse(A)) = multiply(B,inverse(B)),
eq_4 ).
cnf(eq_7,plain,
inverse(multiply(A,B)) = inverse(multiply(multiply(multiply(inverse(inverse(multiply(multiply(multiply(C,multiply(inverse(multiply(multiply(D,x4),C)),D)),x4),multiply(x5,inverse(x5))))),A),B),multiply(x6,inverse(x6)))),
eq_5 ).
cnf(eq_8,plain,
inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,inverse(A)),x102)),B),inverse(B)),multiply(x103,inverse(x103)))) = x102,
inference(cp,[status(thm)],[eq_6,eq_0]) ).
cnf(eq_9,plain,
inverse(multiply(multiply(multiply(inverse(multiply(A,inverse(A))),x104),x105),multiply(x106,inverse(x106)))) = inverse(multiply(x104,x105)),
inference(cp,[status(thm)],[eq_3,eq_7]) ).
cnf(eq_10,plain,
inverse(multiply(multiply(multiply(inverse(multiply(x101,x102)),multiply(inverse(multiply(A,inverse(A))),x101)),x102),multiply(x103,inverse(x103)))) = multiply(x104,inverse(x104)),
inference(cp,[status(thm)],[eq_6,eq_3]) ).
cnf(eq_11,plain,
multiply(A,inverse(A)) = inverse(multiply(multiply(multiply(inverse(multiply(B,C)),multiply(inverse(multiply(D,inverse(D))),B)),C),multiply(x4,inverse(x4)))),
eq_10 ).
cnf(eq_12,plain,
inverse(multiply(A,B)) = inverse(multiply(multiply(multiply(inverse(multiply(C,inverse(C))),A),B),multiply(D,inverse(D)))),
eq_9 ).
cnf(eq_13,plain,
A = inverse(multiply(multiply(multiply(inverse(multiply(multiply(B,inverse(B)),A)),C),inverse(C)),multiply(D,inverse(D)))),
eq_8 ).
cnf(eq_14,plain,
inverse(multiply(multiply(inverse(multiply(multiply(x101,B),inverse(multiply(C,inverse(C))))),x101),B)) = multiply(x104,inverse(x104)),
inference(cp,[status(thm)],[eq_12,eq_3]) ).
cnf(eq_15,plain,
inverse(multiply(multiply(inverse(multiply(x102,inverse(x102))),C),inverse(C))) = multiply(x104,inverse(x104)),
inference(cp,[status(thm)],[eq_12,eq_11]) ).
cnf(eq_16,plain,
inverse(multiply(B,inverse(B))) = inverse(multiply(C,inverse(C))),
inference(cp,[status(thm)],[eq_13,eq_12]) ).
cnf(eq_17,plain,
inverse(multiply(multiply(multiply(A,inverse(A)),x102),multiply(x103,inverse(x103)))) = inverse(multiply(inverse(inverse(multiply(x100,inverse(x100)))),x102)),
inference(cp,[status(thm)],[eq_6,eq_12]) ).
cnf(eq_18,plain,
multiply(A,inverse(A)) = inverse(multiply(multiply(inverse(multiply(multiply(B,C),inverse(multiply(D,inverse(D))))),B),C)),
eq_14 ).
cnf(eq_19,plain,
inverse(multiply(multiply(multiply(A,inverse(A)),B),multiply(C,inverse(C)))) = inverse(multiply(inverse(inverse(multiply(D,inverse(D)))),B)),
eq_17 ).
cnf(eq_20,plain,
multiply(A,inverse(A)) = inverse(multiply(multiply(inverse(multiply(B,inverse(B))),C),inverse(C))),
eq_15 ).
cnf(eq_21,plain,
inverse(multiply(A,inverse(A))) = inverse(multiply(B,inverse(B))),
eq_16 ).
cnf(eq_22,plain,
inverse(multiply(multiply(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))),C),multiply(x103,inverse(x103)))) = inverse(C),
inference(cp,[status(thm)],[eq_20,eq_0]) ).
cnf(eq_23,plain,
multiply(multiply(B,inverse(B)),inverse(multiply(A,inverse(A)))) = multiply(x101,inverse(x101)),
inference(cp,[status(thm)],[eq_21,eq_6]) ).
cnf(eq_24,plain,
inverse(multiply(multiply(multiply(multiply(B,inverse(B)),inverse(multiply(A,inverse(A)))),x101),multiply(x102,inverse(x102)))) = inverse(multiply(inverse(inverse(multiply(x103,inverse(x103)))),x101)),
inference(cp,[status(thm)],[eq_21,eq_19]) ).
cnf(eq_25,plain,
inverse(multiply(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))),multiply(x102,inverse(x102)))) = multiply(x103,inverse(x103)),
inference(cp,[status(thm)],[eq_20,eq_18]) ).
cnf(eq_26,plain,
inverse(A) = inverse(multiply(multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,inverse(C)))),A),multiply(D,inverse(D)))),
eq_22 ).
cnf(eq_27,plain,
multiply(A,inverse(A)) = inverse(multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,inverse(C)))),multiply(D,inverse(D)))),
eq_25 ).
cnf(eq_28,plain,
multiply(A,inverse(A)) = multiply(multiply(B,inverse(B)),inverse(multiply(C,inverse(C)))),
eq_23 ).
cnf(eq_29,plain,
inverse(multiply(multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,inverse(C)))),inverse(inverse(inverse(multiply(multiply(x100,inverse(x100)),x101))))),multiply(x103,inverse(x103)))) = x101,
inference(cp,[status(thm)],[eq_28,eq_13]) ).
cnf(eq_30,plain,
inverse(multiply(multiply(A,inverse(A)),multiply(x103,inverse(x103)))) = inverse(inverse(multiply(C,inverse(C)))),
inference(cp,[status(thm)],[eq_28,eq_26]) ).
cnf(eq_31,plain,
inverse(multiply(multiply(multiply(A,inverse(A)),x102),multiply(x103,inverse(x103)))) = inverse(x102),
inference(cp,[status(thm)],[eq_28,eq_26]) ).
cnf(eq_32,plain,
inverse(multiply(multiply(A,inverse(A)),multiply(B,inverse(B)))) = inverse(inverse(multiply(C,inverse(C)))),
eq_30 ).
cnf(eq_33,plain,
inverse(A) = inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),A)),
inference(rw,[status(thm)],[eq_24,eq_26]) ).
cnf(eq_34,plain,
inverse(A) = inverse(multiply(multiply(multiply(B,inverse(B)),A),multiply(C,inverse(C)))),
eq_31 ).
cnf(eq_35,plain,
A = inverse(inverse(inverse(inverse(multiply(multiply(B,inverse(B)),A))))),
inference(rw,[status(thm)],[eq_29,eq_26]) ).
cnf(eq_36,plain,
multiply(A,inverse(A)) = inverse(inverse(multiply(x102,inverse(x102)))),
inference(cp,[status(thm)],[eq_27,eq_32]) ).
cnf(eq_37,plain,
inverse(inverse(inverse(multiply(A,inverse(A))))) = multiply(D,inverse(D)),
inference(cp,[status(thm)],[eq_27,eq_35]) ).
cnf(eq_38,plain,
multiply(A,inverse(A)) = inverse(inverse(inverse(multiply(B,inverse(B))))),
eq_37 ).
cnf(eq_39,plain,
multiply(A,inverse(A)) = inverse(inverse(multiply(B,inverse(B)))),
eq_36 ).
cnf(eq_40,plain,
inverse(inverse(multiply(A,inverse(A)))) = inverse(multiply(x100,inverse(x100))),
inference(cp,[status(thm)],[eq_39,eq_35]) ).
cnf(eq_41,plain,
inverse(inverse(inverse(inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),x101))))) = x101,
inference(cp,[status(thm)],[eq_39,eq_35]) ).
cnf(eq_42,plain,
A = inverse(inverse(inverse(inverse(A)))),
inference(rw,[status(thm)],[eq_41,eq_33]) ).
cnf(eq_43,plain,
inverse(multiply(A,inverse(A))) = inverse(inverse(multiply(B,inverse(B)))),
eq_40 ).
cnf(eq_44,plain,
A = multiply(multiply(B,inverse(B)),A),
inference(cp,[status(thm)],[eq_35,eq_42]) ).
cnf(eq_45,plain,
inverse(A) = inverse(multiply(A,multiply(B,inverse(B)))),
inference(rw,[status(thm)],[eq_34,eq_44]) ).
cnf(eq_46,plain,
inverse(inverse(inverse(inverse(multiply(A,multiply(B,inverse(B))))))) = A,
inference(cp,[status(thm)],[eq_45,eq_42]) ).
cnf(eq_47,plain,
A = inverse(multiply(multiply(inverse(multiply(multiply(B,C),A)),B),C)),
inference(cp,[status(thm)],[eq_0,eq_45]) ).
cnf(eq_48,plain,
inverse(multiply(x100,multiply(multiply(A,inverse(A)),inverse(inverse(multiply(B,inverse(B))))))) = inverse(x100),
inference(cp,[status(thm)],[eq_43,eq_45]) ).
cnf(eq_49,plain,
A = multiply(A,multiply(B,inverse(B))),
inference(rw,[status(thm)],[eq_46,eq_42]) ).
cnf(eq_50,plain,
inverse(A) = inverse(multiply(A,inverse(inverse(multiply(B,inverse(B)))))),
inference(rw,[status(thm)],[eq_48,eq_44]) ).
cnf(eq_51,plain,
A = inverse(multiply(multiply(inverse(A),B),inverse(B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_13,eq_44]),eq_49]) ).
cnf(eq_52,plain,
inverse(multiply(multiply(inverse(x100),inverse(inverse(multiply(B,inverse(B))))),multiply(A,inverse(A)))) = x100,
inference(cp,[status(thm)],[eq_38,eq_51]) ).
cnf(eq_53,plain,
A = inverse(inverse(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_52,eq_49]),eq_50]) ).
cnf(eq_54,plain,
inverse(multiply(multiply(A,inverse(multiply(multiply(B,C),A))),B)) = C,
inference(cp,[status(thm)],[eq_47,eq_47]) ).
cnf(eq_55,plain,
inverse(A) = multiply(multiply(inverse(multiply(multiply(B,C),A)),B),C),
inference(cp,[status(thm)],[eq_47,eq_53]) ).
cnf(eq_56,plain,
A = inverse(multiply(multiply(B,inverse(multiply(multiply(C,A),B))),C)),
eq_54 ).
cnf(eq_57,plain,
multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B) = inverse(C),
eq_55 ).
cnf(eq_58,plain,
inverse(multiply(multiply(x100,inverse(multiply(A,x100))),multiply(B,inverse(B)))) = A,
inference(cp,[status(thm)],[eq_44,eq_56]) ).
cnf(eq_59,plain,
A = inverse(multiply(B,inverse(multiply(A,B)))),
inference(rw,[status(thm)],[eq_58,eq_49]) ).
cnf(eq_60,plain,
multiply(multiply(A,x100),x101) = inverse(inverse(multiply(A,multiply(x100,x101)))),
inference(cp,[status(thm)],[eq_59,eq_57]) ).
cnf(eq_61,plain,
multiply(A,multiply(B,C)) = multiply(multiply(A,B),C),
inference(rw,[status(thm)],[eq_60,eq_53]) ).
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
% 0.04/0.12 % Problem : GRP435-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n014.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 04:18:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 21.31/21.53 % SZS status Unsatisfiable
% 21.31/21.53 % SZS output start CNFRefutation for /tmp/MaedMax_21103
% See solution above
% 21.31/21.53
%------------------------------------------------------------------------------