%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : TOP002-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 09:12:53 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.38s
% Output : Proof 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 2 nHn; 7 RR)
% Number of literals : 10 ( 0 equ; 4 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 : 3 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(topology_generated_40,axiom,
( element_of_set(f11(Vf,U),U)
| element_of_collection(U,top_of_basis(Vf)) ),
file('theBenchmark.p',topology_generated_40) ).
cnf(set_theory_6,axiom,
~ element_of_set(X,empty_set),
file('theBenchmark.p',set_theory_6) ).
cnf(lemma_1b_2,negated_conjecture,
~ element_of_collection(empty_set,top_of_basis(f)),
file('theBenchmark.p',lemma_1b_2) ).
cnf(t1,plain,
~ element_of_set(f11(f,empty_set),empty_set),
inference(start,[status(thm),parent(0:0)],[set_theory_6]) ).
cnf(t2,plain,
( element_of_collection(empty_set,top_of_basis(f))
| element_of_set(f11(f,empty_set),empty_set) ),
inference(extension,[status(thm),parent(t1:1)],[topology_generated_40]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
~ element_of_collection(empty_set,top_of_basis(f)),
inference(extension,[status(thm),parent(t2:2)],[lemma_1b_2]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP002-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 08:22:41 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------