%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : TOP002-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n012.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 : Fri Sep 25 03:54:59 PM UTC 2026
% Result : Unsatisfiable 0.69s 1.05s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 ( 0 sgn 6 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( element_of_set(f11(X1,X0),X0)
| element_of_collection(X0,top_of_basis(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',topology_generated_40) ).
fof(f2,axiom,
! [X0] : ~ element_of_set(X0,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_theory_6) ).
fof(f3,negated_conjecture,
~ element_of_collection(empty_set,top_of_basis(f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1b_2) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( element_of_collection(X1,top_of_basis(X0))
| element_of_set(f11(X0,X1),X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_53,plain,
! [X0: $i] : ~ element_of_set(X0,empty_set),
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,negated_conjecture,
~ element_of_collection(empty_set,top_of_basis(f)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_65,plain,
element_of_set(f11(f,empty_set),empty_set),
inference(resolution,[status(thm)],[c_52,c_54]) ).
tcf(c_68,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_65,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : TOP002-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Fri Sep 25 04:06:35 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.02/0.29 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.02/0.31 Running first-order theorem proving
% 0.02/0.32 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.32
% 0.02/0.32 % ======== iProver multi-core TPTP/SMT =========
% 0.02/0.32
% 0.02/0.32 % Detected problem language: tptp
% 0.06/0.33 % Proving...
% 0.69/1.05 % SZS status Started for theBenchmark.p
% 0.69/1.05 % SZS status Unsatisfiable for theBenchmark.p
% 0.69/1.05
% 0.69/1.05 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.69/1.05
% 0.69/1.05 % ------ iProver source info
% 0.69/1.05
% 0.69/1.05 % git: date: 2026-07-19 20:42:38 +0200
% 0.69/1.05 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.69/1.05 % git: non_committed_changes: false
% 0.69/1.05
% 0.69/1.05 % ------ Parsing...% successful
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.69/1.05
% 0.69/1.05 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s %
% 0.69/1.05
% 0.69/1.05 % SZS status Unsatisfiable for theBenchmark.p
% 0.69/1.05
% 0.69/1.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.69/1.06
% 0.69/1.06
%------------------------------------------------------------------------------