%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU115+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n014.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 02:55:27 PM UTC 2026
% Result : Theorem 1.96s 1.26s
% Output : CNFRefutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 13 unt; 0 def)
% Number of atoms : 33 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 13 ~; 8 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 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 : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] :
( empty(X0)
=> finite(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_finset_1) ).
fof(f29,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f33,conjecture,
finite_subsets(empty_set) = singleton(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_finsub_1) ).
fof(f34,negated_conjecture,
finite_subsets(empty_set) != singleton(empty_set),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,axiom,
! [X0] :
( finite(X0)
=> finite_subsets(X0) = powerset(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_finsub_1) ).
fof(f36,axiom,
powerset(empty_set) = singleton(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_zfmisc_1) ).
fof(f38,plain,
finite_subsets(empty_set) != singleton(empty_set),
inference(flattening,[],[f34]) ).
fof(f57,plain,
! [X0] :
( ~ empty(X0)
| finite(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f68,plain,
! [X0] :
( ~ finite(X0)
| finite_subsets(X0) = powerset(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f89,plain,
! [X0] :
( ~ empty(X0)
| finite(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f127,plain,
empty(empty_set),
inference(cnf_transformation,[],[f29]) ).
fof(f131,plain,
finite_subsets(empty_set) != singleton(empty_set),
inference(cnf_transformation,[],[f38]) ).
fof(f132,plain,
! [X0] :
( ~ finite(X0)
| finite_subsets(X0) = powerset(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f133,plain,
singleton(empty_set) = powerset(empty_set),
inference(cnf_transformation,[],[f36]) ).
tcf(c_59,plain,
! [X0: $i] :
( finite(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_97,plain,
empty(empty_set),
inference(cnf_transformation,[],[f127]) ).
tcf(c_101,negated_conjecture,
finite_subsets(empty_set) != singleton(empty_set),
inference(cnf_transformation,[],[f131]) ).
tcf(c_102,plain,
! [X0: $i] :
( ( powerset(X0) = finite_subsets(X0) )
| ~ finite(X0) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_103,plain,
powerset(empty_set) = singleton(empty_set),
inference(cnf_transformation,[],[f133]) ).
tcf(c_121,plain,
( finite(empty_set)
| ~ empty(empty_set) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_131,plain,
( ( powerset(empty_set) = finite_subsets(empty_set) )
| ~ finite(empty_set) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_326,plain,
powerset(empty_set) != finite_subsets(empty_set),
inference(light_normalisation,[status(thm)],[c_101,c_103]) ).
tcf(c_415,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_326,c_131,c_121,c_97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU115+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 12:46:32 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 1.96/1.26 % SZS status Started for theBenchmark.p
% 1.96/1.26 % SZS status Theorem for theBenchmark.p
% 1.96/1.26
% 1.96/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.96/1.26
% 1.96/1.26 % ------ iProver source info
% 1.96/1.26
% 1.96/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 1.96/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.96/1.26 % git: non_committed_changes: false
% 1.96/1.26
% 1.96/1.26 % ------ Parsing...
% 1.96/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.96/1.26
% 1.96/1.26 % ------ Preprocessing... sup_sim: 1 sf_s rm: 16 0s sf_e pe_s %
% 1.96/1.26
% 1.96/1.26 % SZS status Theorem for theBenchmark.p
% 1.96/1.26
% 1.96/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.96/1.26
% 1.96/1.26
%------------------------------------------------------------------------------