%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP546-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n027.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 07:02:54 EDT 2022
% Result : Unsatisfiable 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 5 RR)
% Number of literals : 13 ( 12 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 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 : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = divide(divide(identity,divide(B,C)),divide(divide(C,A),B)),
file('/tmp/MaedMax_9714') ).
cnf(eq_1,axiom,
divide(A,divide(identity,B)) = multiply(A,B),
file('/tmp/MaedMax_9714') ).
cnf(eq_2,axiom,
divide(identity,A) = inverse(A),
file('/tmp/MaedMax_9714') ).
cnf(eq_3,axiom,
identity = divide(A,A),
file('/tmp/MaedMax_9714') ).
cnf(eq_4,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/tmp/MaedMax_9714') ).
cnf(eq_5,negated_conjecture,
divide(identity,divide(identity,a2)) != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_2]),eq_1]),eq_3]),eq_1]) ).
cnf(eq_6,plain,
divide(divide(identity,identity),divide(divide(A,X102),A)) = X102,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_7,plain,
A = divide(identity,divide(divide(B,A),B)),
inference(rw,[status(thm)],[eq_6,eq_3]) ).
cnf(eq_8,negated_conjecture,
multiply(identity,a2) != a2,
inference(rw,[status(thm)],[eq_5,eq_1]) ).
cnf(eq_9,plain,
divide(identity,divide(identity,A)) = A,
inference(cp,[status(thm)],[eq_3,eq_7]) ).
cnf(eq_10,plain,
A = multiply(identity,A),
inference(rw,[status(thm)],[eq_9,eq_1]) ).
cnf(eq_11,negated_conjecture,
a2 != a2,
inference(cp,[status(thm)],[eq_10,eq_8]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP546-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 26 04:30:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % SZS status Unsatisfiable
% 0.19/0.49 % SZS output start CNFRefutation for /tmp/MaedMax_9714
% See solution above
% 0.19/0.49
%------------------------------------------------------------------------------