TSTP Solution File: GRP497-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP497-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n019.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 07:02:50 EDT 2022
% Result : Unsatisfiable 0.47s 0.64s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of clauses : 22 ( 22 unt; 0 nHn; 6 RR)
% Number of literals : 22 ( 21 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = double_divide(double_divide(identity,double_divide(B,double_divide(C,identity))),double_divide(double_divide(C,double_divide(A,B)),identity)),
file('/tmp/MaedMax_7974') ).
cnf(eq_1,axiom,
double_divide(double_divide(A,B),identity) = multiply(B,A),
file('/tmp/MaedMax_7974') ).
cnf(eq_2,axiom,
double_divide(A,identity) = inverse(A),
file('/tmp/MaedMax_7974') ).
cnf(eq_3,axiom,
identity = double_divide(A,inverse(A)),
file('/tmp/MaedMax_7974') ).
cnf(eq_4,negated_conjecture,
multiply(identity,a2) != a2,
file('/tmp/MaedMax_7974') ).
cnf(eq_5,plain,
A = double_divide(double_divide(identity,double_divide(B,inverse(C))),inverse(double_divide(C,double_divide(A,B)))),
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,
inverse(identity) = identity,
inference(cp,[status(thm)],[eq_5,eq_3]) ).
cnf(eq_8,plain,
double_divide(double_divide(identity,double_divide(inverse(A),inverse(x101))),inverse(double_divide(x101,identity))) = A,
inference(cp,[status(thm)],[eq_3,eq_5]) ).
cnf(eq_9,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(x101))),inverse(double_divide(x101,inverse(A)))) = A,
inference(cp,[status(thm)],[eq_2,eq_5]) ).
cnf(eq_10,plain,
A = double_divide(double_divide(identity,double_divide(inverse(A),inverse(B))),inverse(inverse(B))),
inference(rw,[status(thm)],[eq_8,eq_2]) ).
cnf(eq_11,plain,
A = double_divide(double_divide(identity,double_divide(identity,inverse(B))),inverse(double_divide(B,inverse(A)))),
eq_9 ).
cnf(eq_12,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(A))),inverse(identity)) = A,
inference(cp,[status(thm)],[eq_3,eq_11]) ).
cnf(eq_13,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(x101))),inverse(inverse(x101))) = identity,
inference(cp,[status(thm)],[eq_7,eq_10]) ).
cnf(eq_14,plain,
identity = double_divide(double_divide(identity,double_divide(identity,inverse(A))),inverse(inverse(A))),
eq_13 ).
cnf(eq_15,plain,
A = double_divide(double_divide(identity,double_divide(identity,inverse(A))),inverse(identity)),
eq_12 ).
cnf(eq_16,plain,
A = inverse(double_divide(identity,double_divide(identity,inverse(A)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_15,eq_7]),eq_2]) ).
cnf(eq_17,plain,
double_divide(double_divide(identity,double_divide(inverse(inverse(A)),inverse(x101))),inverse(double_divide(x101,identity))) = double_divide(identity,double_divide(identity,inverse(A))),
inference(cp,[status(thm)],[eq_14,eq_5]) ).
cnf(eq_18,plain,
double_divide(identity,double_divide(identity,inverse(A))) = inverse(A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_17,eq_2]),eq_10]) ).
cnf(eq_19,plain,
inverse(inverse(A)) = A,
inference(cp,[status(thm)],[eq_18,eq_16]) ).
cnf(eq_20,negated_conjecture,
a2 != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_2]),eq_2]),eq_19]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP497-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % Command : run_maedmax %d %s
% 0.12/0.34 % Computer : n019.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 04:24:07 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.47/0.64 % SZS status Unsatisfiable
% 0.47/0.64 % SZS output start CNFRefutation for /tmp/MaedMax_7974
% See solution above
% 0.47/0.64
%------------------------------------------------------------------------------