%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP484-1 : 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 07:02:49 EDT 2022
% Result : Unsatisfiable 0.19s 0.58s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of clauses : 21 ( 21 unt; 0 nHn; 7 RR)
% Number of literals : 21 ( 20 equ; 4 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = double_divide(double_divide(B,double_divide(double_divide(double_divide(B,C),A),double_divide(C,identity))),double_divide(identity,identity)),
file('/tmp/MaedMax_3301') ).
cnf(eq_1,axiom,
double_divide(double_divide(A,B),identity) = multiply(B,A),
file('/tmp/MaedMax_3301') ).
cnf(eq_2,axiom,
double_divide(A,identity) = inverse(A),
file('/tmp/MaedMax_3301') ).
cnf(eq_3,axiom,
double_divide(A,inverse(A)) = identity,
file('/tmp/MaedMax_3301') ).
cnf(eq_4,negated_conjecture,
identity != multiply(inverse(a1),a1),
file('/tmp/MaedMax_3301') ).
cnf(eq_5,plain,
A = double_divide(double_divide(B,double_divide(double_divide(double_divide(B,C),A),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(a1,double_divide(a1,identity)),identity) != identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_2]),eq_1]) ).
cnf(eq_7,plain,
double_divide(double_divide(x100,A),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(x100,identity),C),A),double_divide(C,identity)),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_8,plain,
double_divide(double_divide(A,B),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(A,identity),C),B),double_divide(C,identity)),
eq_7 ).
cnf(eq_9,plain,
double_divide(double_divide(A,B),inverse(identity)) = double_divide(double_divide(double_divide(inverse(A),C),B),inverse(C)),
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,
identity != inverse(identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_2]),eq_3]),eq_2]) ).
cnf(eq_11,plain,
double_divide(double_divide(x100,double_divide(identity,inverse(x101))),inverse(identity)) = inverse(double_divide(x100,x101)),
inference(cp,[status(thm)],[eq_3,eq_5]) ).
cnf(eq_12,plain,
double_divide(double_divide(A,double_divide(identity,inverse(B))),inverse(identity)) = inverse(double_divide(A,B)),
eq_11 ).
cnf(eq_13,plain,
double_divide(double_divide(inverse(A),double_divide(double_divide(A,B),inverse(identity))),inverse(identity)) = B,
inference(cp,[status(thm)],[eq_9,eq_5]) ).
cnf(eq_14,plain,
inverse(inverse(A)) = double_divide(double_divide(A,double_divide(identity,inverse(identity))),inverse(identity)),
inference(cp,[status(thm)],[eq_2,eq_12]) ).
cnf(eq_15,plain,
double_divide(inverse(A),inverse(identity)) = inverse(inverse(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_14,eq_3]),eq_2]) ).
cnf(eq_16,plain,
A = double_divide(double_divide(inverse(B),double_divide(double_divide(B,A),inverse(identity))),inverse(identity)),
eq_13 ).
cnf(eq_17,plain,
double_divide(double_divide(inverse(inverse(A)),double_divide(inverse(inverse(A)),inverse(identity))),inverse(identity)) = inverse(identity),
inference(cp,[status(thm)],[eq_15,eq_16]) ).
cnf(eq_18,plain,
identity = inverse(identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_17,eq_15]),eq_3]),eq_3]) ).
cnf(eq_19,negated_conjecture,
identity != identity,
inference(cp,[status(thm)],[eq_18,eq_10]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP484-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n021.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 04:06:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.58 % SZS status Unsatisfiable
% 0.19/0.58 % SZS output start CNFRefutation for /tmp/MaedMax_3301
% See solution above
% 0.19/0.58
%------------------------------------------------------------------------------