%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : CAT017-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.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 : Fri Jul 15 00:04:36 EDT 2022
% Result : Unsatisfiable 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 15 ( 7 unt; 0 nHn; 13 RR)
% Number of literals : 24 ( 3 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 9 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(domain_has_elements,axiom,
( ~ there_exists(domain(X))
| there_exists(X) ) ).
cnf(composition_implies_domain,axiom,
( ~ there_exists(compose(X,Y))
| there_exists(domain(X)) ) ).
cnf(compose_codomain,axiom,
compose(codomain(X),X) = X ).
cnf(assume_a_exists,hypothesis,
there_exists(a) ).
cnf(prove_codomain_of_a_exists,negated_conjecture,
~ there_exists(codomain(a)) ).
cnf(refute_0_0,plain,
( ~ there_exists(domain(codomain(a)))
| there_exists(codomain(a)) ),
inference(subst,[],[domain_has_elements:[bind(X,$fot(codomain(a)))]]) ).
cnf(refute_0_1,plain,
( ~ there_exists(compose(codomain(X_29),X_29))
| there_exists(domain(codomain(X_29))) ),
inference(subst,[],[composition_implies_domain:[bind(X,$fot(codomain(X_29))),bind(Y,$fot(X_29))]]) ).
cnf(refute_0_2,plain,
compose(codomain(X_29),X_29) = X_29,
inference(subst,[],[compose_codomain:[bind(X,$fot(X_29))]]) ).
cnf(refute_0_3,plain,
( compose(codomain(X_29),X_29) != X_29
| ~ there_exists(X_29)
| there_exists(compose(codomain(X_29),X_29)) ),
introduced(tautology,[equality,[$cnf( ~ there_exists(compose(codomain(X_29),X_29)) ),[0],$fot(X_29)]]) ).
cnf(refute_0_4,plain,
( ~ there_exists(X_29)
| there_exists(compose(codomain(X_29),X_29)) ),
inference(resolve,[$cnf( $equal(compose(codomain(X_29),X_29),X_29) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ there_exists(X_29)
| there_exists(domain(codomain(X_29))) ),
inference(resolve,[$cnf( there_exists(compose(codomain(X_29),X_29)) )],[refute_0_4,refute_0_1]) ).
cnf(refute_0_6,plain,
( ~ there_exists(a)
| there_exists(domain(codomain(a))) ),
inference(subst,[],[refute_0_5:[bind(X_29,$fot(a))]]) ).
cnf(refute_0_7,plain,
there_exists(domain(codomain(a))),
inference(resolve,[$cnf( there_exists(a) )],[assume_a_exists,refute_0_6]) ).
cnf(refute_0_8,plain,
there_exists(codomain(a)),
inference(resolve,[$cnf( there_exists(domain(codomain(a))) )],[refute_0_7,refute_0_0]) ).
cnf(refute_0_9,plain,
$false,
inference(resolve,[$cnf( there_exists(codomain(a)) )],[refute_0_8,prove_codomain_of_a_exists]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : CAT017-4 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun May 29 16:51:56 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.39 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.39
% 0.14/0.39 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.14/0.39
%------------------------------------------------------------------------------