%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP482-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n026.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 07:02:48 EDT 2022
% Result : Unsatisfiable 0.19s 0.57s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of clauses : 27 ( 27 unt; 0 nHn; 11 RR)
% Number of literals : 27 ( 26 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 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 : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = double_divide(double_divide(double_divide(B,double_divide(C,identity)),double_divide(double_divide(A,double_divide(D,double_divide(D,identity))),double_divide(B,identity))),C),
file('/tmp/MaedMax_1816') ).
cnf(eq_1,axiom,
double_divide(double_divide(A,B),identity) = multiply(B,A),
file('/tmp/MaedMax_1816') ).
cnf(eq_2,axiom,
double_divide(A,identity) = inverse(A),
file('/tmp/MaedMax_1816') ).
cnf(eq_3,axiom,
identity = double_divide(A,inverse(A)),
file('/tmp/MaedMax_1816') ).
cnf(eq_4,negated_conjecture,
multiply(identity,a2) != a2,
file('/tmp/MaedMax_1816') ).
cnf(eq_5,plain,
A = double_divide(double_divide(double_divide(B,inverse(C)),double_divide(inverse(A),inverse(B))),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_2]),eq_2]),eq_2]),eq_3]),eq_2]) ).
cnf(eq_6,plain,
multiply(A,B) = inverse(double_divide(B,A)),
inference(rw,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_7,negated_conjecture,
double_divide(double_divide(a2,identity),identity) != a2,
inference(rw,[status(thm)],[eq_4,eq_1]) ).
cnf(eq_8,negated_conjecture,
inverse(inverse(a2)) != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_7,eq_2]),eq_2]) ).
cnf(eq_9,plain,
double_divide(double_divide(identity,double_divide(inverse(x102),inverse(A))),A) = x102,
inference(cp,[status(thm)],[eq_3,eq_5]) ).
cnf(eq_10,plain,
double_divide(double_divide(double_divide(inverse(x102),inverse(x101)),identity),x101) = x102,
inference(cp,[status(thm)],[eq_3,eq_5]) ).
cnf(eq_11,plain,
A = double_divide(inverse(double_divide(inverse(A),inverse(B))),B),
inference(rw,[status(thm)],[eq_10,eq_2]) ).
cnf(eq_12,plain,
A = double_divide(double_divide(identity,double_divide(inverse(A),inverse(B))),B),
eq_9 ).
cnf(eq_13,plain,
A = double_divide(multiply(inverse(B),inverse(A)),B),
inference(rw,[status(thm)],[eq_11,eq_6]) ).
cnf(eq_14,plain,
double_divide(double_divide(identity,identity),inverse(x100)) = x100,
inference(cp,[status(thm)],[eq_3,eq_12]) ).
cnf(eq_15,plain,
A = double_divide(inverse(identity),inverse(A)),
inference(rw,[status(thm)],[eq_14,eq_2]) ).
cnf(eq_16,plain,
inverse(identity) = identity,
inference(cp,[status(thm)],[eq_15,eq_3]) ).
cnf(eq_17,plain,
inverse(A) = multiply(inverse(A),inverse(identity)),
inference(cp,[status(thm)],[eq_15,eq_6]) ).
cnf(eq_18,plain,
multiply(inverse(A),inverse(identity)) = inverse(A),
eq_17 ).
cnf(eq_19,plain,
double_divide(inverse(A),A) = identity,
inference(cp,[status(thm)],[eq_18,eq_13]) ).
cnf(eq_20,plain,
double_divide(identity,inverse(x100)) = x100,
inference(cp,[status(thm)],[eq_16,eq_15]) ).
cnf(eq_21,plain,
A = double_divide(identity,inverse(A)),
eq_20 ).
cnf(eq_22,plain,
double_divide(double_divide(identity,identity),x101) = inverse(x101),
inference(cp,[status(thm)],[eq_19,eq_12]) ).
cnf(eq_23,plain,
double_divide(identity,A) = inverse(A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_22,eq_2]),eq_16]) ).
cnf(eq_24,negated_conjecture,
double_divide(identity,inverse(a2)) != a2,
inference(cp,[status(thm)],[eq_23,eq_8]) ).
cnf(eq_25,negated_conjecture,
a2 != a2,
inference(rw,[status(thm)],[eq_24,eq_21]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP482-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n026.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 04:22:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.57 % SZS status Unsatisfiable
% 0.19/0.57 % SZS output start CNFRefutation for /tmp/MaedMax_1816
% See solution above
% 0.19/0.57
%------------------------------------------------------------------------------