%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : FLD010-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 : 600s
% DateTime : Sat Jul 16 02:19:21 EDT 2022
% Result : Unsatisfiable 1.37s 1.61s
% Output : CNFRefutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 11 ( 6 unt; 3 nHn; 11 RR)
% Number of literals : 18 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(existence_of_inverse_multiplication,axiom,
( product(multiplicative_inverse(X),X,multiplicative_identity)
| sum(additive_identity,X,additive_identity)
| ~ defined(X) ) ).
cnf(commutativity_multiplication,axiom,
( product(Y,X,Z)
| ~ product(X,Y,Z) ) ).
cnf(well_definedness_of_multiplicative_identity,axiom,
defined(multiplicative_identity) ).
cnf(not_sum_1,negated_conjecture,
~ sum(additive_identity,multiplicative_identity,additive_identity) ).
cnf(not_product_2,negated_conjecture,
~ product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity) ).
cnf(refute_0_0,plain,
( ~ product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity)
| product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity) ),
inference(subst,[],[commutativity_multiplication:[bind(X,$fot(multiplicative_inverse(multiplicative_identity))),bind(Y,$fot(multiplicative_identity)),bind(Z,$fot(multiplicative_identity))]]) ).
cnf(refute_0_1,plain,
( ~ defined(multiplicative_identity)
| product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity)
| sum(additive_identity,multiplicative_identity,additive_identity) ),
inference(subst,[],[existence_of_inverse_multiplication:[bind(X,$fot(multiplicative_identity))]]) ).
cnf(refute_0_2,plain,
( product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity)
| sum(additive_identity,multiplicative_identity,additive_identity) ),
inference(resolve,[$cnf( defined(multiplicative_identity) )],[well_definedness_of_multiplicative_identity,refute_0_1]) ).
cnf(refute_0_3,plain,
product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity),
inference(resolve,[$cnf( sum(additive_identity,multiplicative_identity,additive_identity) )],[refute_0_2,not_sum_1]) ).
cnf(refute_0_4,plain,
product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity),
inference(resolve,[$cnf( product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity) )],[refute_0_3,refute_0_0]) ).
cnf(refute_0_5,plain,
$false,
inference(resolve,[$cnf( product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity) )],[refute_0_4,not_product_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : FLD010-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 7 01:15:19 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.37/1.61 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.37/1.61
% 1.37/1.61 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.37/1.61
%------------------------------------------------------------------------------