TSTP Solution File: GRP570-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP570-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n021.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 07:02:56 EDT 2022
% Result : Unsatisfiable 0.19s 0.56s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of clauses : 31 ( 31 unt; 0 nHn; 11 RR)
% Number of literals : 31 ( 30 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = double_divide(double_divide(B,double_divide(double_divide(A,double_divide(B,C)),double_divide(C,identity))),double_divide(identity,identity)),
file('/tmp/MaedMax_9939') ).
cnf(eq_1,axiom,
double_divide(double_divide(A,B),identity) = multiply(B,A),
file('/tmp/MaedMax_9939') ).
cnf(eq_2,axiom,
double_divide(A,identity) = inverse(A),
file('/tmp/MaedMax_9939') ).
cnf(eq_3,axiom,
double_divide(A,inverse(A)) = identity,
file('/tmp/MaedMax_9939') ).
cnf(eq_4,negated_conjecture,
multiply(identity,a2) != a2,
file('/tmp/MaedMax_9939') ).
cnf(eq_5,plain,
A = double_divide(double_divide(B,double_divide(double_divide(A,double_divide(B,C)),inverse(C))),inverse(identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_2]),eq_2]) ).
cnf(eq_6,negated_conjecture,
double_divide(double_divide(a2,identity),identity) != a2,
inference(rw,[status(thm)],[eq_4,eq_1]) ).
cnf(eq_7,plain,
double_divide(double_divide(identity,double_divide(A,double_divide(identity,identity))),double_divide(identity,identity)) = double_divide(B,double_divide(double_divide(A,double_divide(B,C)),double_divide(C,identity))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_8,plain,
double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))) = double_divide(double_divide(identity,double_divide(B,double_divide(identity,identity))),double_divide(identity,identity)),
eq_7 ).
cnf(eq_9,plain,
double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) = double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_8,eq_2]),eq_2]),eq_2]) ).
cnf(eq_10,negated_conjecture,
inverse(inverse(a2)) != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_2]),eq_2]) ).
cnf(eq_11,plain,
double_divide(double_divide(A,double_divide(double_divide(x101,inverse(A)),inverse(identity))),inverse(identity)) = x101,
inference(cp,[status(thm)],[eq_2,eq_5]) ).
cnf(eq_12,plain,
A = double_divide(double_divide(B,double_divide(double_divide(A,inverse(B)),inverse(identity))),inverse(identity)),
eq_11 ).
cnf(eq_13,plain,
double_divide(double_divide(A,double_divide(identity,inverse(identity))),inverse(identity)) = A,
inference(cp,[status(thm)],[eq_3,eq_12]) ).
cnf(eq_14,plain,
double_divide(double_divide(identity,double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity))),inverse(identity)) = double_divide(identity,double_divide(B,inverse(identity))),
inference(cp,[status(thm)],[eq_9,eq_12]) ).
cnf(eq_15,plain,
double_divide(double_divide(identity,identity),inverse(identity)) = double_divide(x101,double_divide(double_divide(identity,double_divide(x101,x102)),inverse(x102))),
inference(cp,[status(thm)],[eq_3,eq_9]) ).
cnf(eq_16,plain,
A = double_divide(inverse(A),inverse(identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_13,eq_3]),eq_2]) ).
cnf(eq_17,plain,
double_divide(double_divide(identity,A),inverse(identity)) = double_divide(identity,double_divide(A,inverse(identity))),
inference(rw,[status(thm)],[eq_14,eq_5]) ).
cnf(eq_18,plain,
double_divide(A,double_divide(double_divide(identity,double_divide(A,B)),inverse(B))) = double_divide(inverse(identity),inverse(identity)),
inference(rw,[status(thm)],[eq_15,eq_2]) ).
cnf(eq_19,plain,
double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) = double_divide(identity,double_divide(double_divide(B,inverse(identity)),inverse(identity))),
inference(rw,[status(thm)],[eq_9,eq_17]) ).
cnf(eq_20,plain,
identity = inverse(identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_19]),eq_3]),eq_3]),eq_2]),eq_16]) ).
cnf(eq_21,plain,
double_divide(double_divide(identity,double_divide(A,inverse(identity))),inverse(identity)) = inverse(A),
inference(cp,[status(thm)],[eq_16,eq_12]) ).
cnf(eq_22,plain,
double_divide(identity,double_divide(double_divide(A,inverse(identity)),inverse(identity))) = inverse(A),
inference(rw,[status(thm)],[eq_21,eq_17]) ).
cnf(eq_23,plain,
double_divide(inverse(x100),identity) = x100,
inference(cp,[status(thm)],[eq_20,eq_16]) ).
cnf(eq_24,plain,
double_divide(identity,double_divide(double_divide(x100,identity),inverse(identity))) = inverse(x100),
inference(cp,[status(thm)],[eq_20,eq_22]) ).
cnf(eq_25,plain,
A = inverse(inverse(A)),
inference(rw,[status(thm)],[eq_23,eq_2]) ).
cnf(eq_26,plain,
double_divide(identity,A) = inverse(A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_24,eq_2]),eq_16]) ).
cnf(eq_27,negated_conjecture,
double_divide(identity,double_divide(double_divide(inverse(a2),inverse(identity)),inverse(identity))) != a2,
inference(cp,[status(thm)],[eq_22,eq_10]) ).
cnf(eq_28,negated_conjecture,
double_divide(identity,double_divide(a2,inverse(identity))) != a2,
inference(rw,[status(thm)],[eq_27,eq_16]) ).
cnf(eq_29,negated_conjecture,
a2 != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_28,eq_20]),eq_2]),eq_26]),eq_25]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP570-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.12 % Command : run_maedmax %d %s
% 0.13/0.32 % Computer : n021.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue Jul 26 04:12:37 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.56 % SZS status Unsatisfiable
% 0.19/0.56 % SZS output start CNFRefutation for /tmp/MaedMax_9939
% See solution above
% 0.19/0.56
%------------------------------------------------------------------------------