%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : TOP001-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 09:12:52 AM UTC 2026
% Result : Unsatisfiable 0.08s 0.40s
% Output : Proof 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(union_of_members_1,axiom,
( element_of_set(U,f1(Vf,U))
| ~ element_of_set(U,union_of_members(Vf)) ),
file('theBenchmark.p',union_of_members_1) ).
cnf(union_of_members_2,axiom,
( element_of_collection(f1(Vf,U),Vf)
| ~ element_of_set(U,union_of_members(Vf)) ),
file('theBenchmark.p',union_of_members_2) ).
cnf(union_of_members_3,axiom,
( ~ element_of_collection(Uu1,Vf)
| ~ element_of_set(U,Uu1)
| element_of_set(U,union_of_members(Vf)) ),
file('theBenchmark.p',union_of_members_3) ).
cnf(basis_for_topology_28,axiom,
( equal_sets(union_of_members(Vf),X)
| ~ basis(X,Vf) ),
file('theBenchmark.p',basis_for_topology_28) ).
cnf(topology_generated_37,axiom,
( element_of_set(X,f10(Vf,U,X))
| ~ element_of_set(X,U)
| ~ element_of_collection(U,top_of_basis(Vf)) ),
file('theBenchmark.p',topology_generated_37) ).
cnf(topology_generated_38,axiom,
( element_of_collection(f10(Vf,U,X),Vf)
| ~ element_of_set(X,U)
| ~ element_of_collection(U,top_of_basis(Vf)) ),
file('theBenchmark.p',topology_generated_38) ).
cnf(set_theory_1,axiom,
subset_sets(X,X),
file('theBenchmark.p',set_theory_1) ).
cnf(set_theory_2,axiom,
( element_of_set(U,Y)
| ~ element_of_set(U,X)
| ~ subset_sets(X,Y) ),
file('theBenchmark.p',set_theory_2) ).
cnf(set_theory_3,axiom,
( subset_sets(X,Y)
| ~ equal_sets(X,Y) ),
file('theBenchmark.p',set_theory_3) ).
cnf(set_theory_4,axiom,
( element_of_set(in_1st_set(X,Y),X)
| subset_sets(X,Y) ),
file('theBenchmark.p',set_theory_4) ).
cnf(set_theory_5,axiom,
( ~ element_of_set(in_1st_set(X,Y),Y)
| subset_sets(X,Y) ),
file('theBenchmark.p',set_theory_5) ).
cnf(lemma_1a_1,negated_conjecture,
basis(cx,f),
file('theBenchmark.p',lemma_1a_1) ).
cnf(lemma_1a_2,negated_conjecture,
~ subset_sets(union_of_members(top_of_basis(f)),cx),
file('theBenchmark.p',lemma_1a_2) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP001-2 : 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/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n011.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 08:17:09 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.40 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------