%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : TOP002-2 : 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 : Thu Jul 21 21:32:21 EDT 2022
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 2 nHn; 5 RR)
% Number of literals : 10 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 6 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(topology_generated_40,axiom,
( element_of_collection(U,top_of_basis(Vf))
| element_of_set(f11(Vf,U),U) ) ).
cnf(set_theory_6,axiom,
~ element_of_set(X,empty_set) ).
cnf(lemma_1b_2,negated_conjecture,
~ element_of_collection(empty_set,top_of_basis(f)) ).
cnf(refute_0_0,plain,
~ element_of_set(f11(X_2,empty_set),empty_set),
inference(subst,[],[set_theory_6:[bind(X,$fot(f11(X_2,empty_set)))]]) ).
cnf(refute_0_1,plain,
( element_of_collection(empty_set,top_of_basis(X_2))
| element_of_set(f11(X_2,empty_set),empty_set) ),
inference(subst,[],[topology_generated_40:[bind(U,$fot(empty_set)),bind(Vf,$fot(X_2))]]) ).
cnf(refute_0_2,plain,
element_of_collection(empty_set,top_of_basis(X_2)),
inference(resolve,[$cnf( element_of_set(f11(X_2,empty_set),empty_set) )],[refute_0_1,refute_0_0]) ).
cnf(refute_0_3,plain,
element_of_collection(empty_set,top_of_basis(f)),
inference(subst,[],[refute_0_2:[bind(X_2,$fot(f))]]) ).
cnf(refute_0_4,plain,
$false,
inference(resolve,[$cnf( element_of_collection(empty_set,top_of_basis(f)) )],[refute_0_3,lemma_1b_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : TOP002-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun May 29 07:54:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34
% 0.12/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34
%------------------------------------------------------------------------------