%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU116+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n004.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 1.68s 6.19s
% Output : CNFRefutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 9 unt; 1 def)
% Number of atoms : 30 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 4 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 15 ( 0 sgn 13 !; 2 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [X0,X1] :
( element(X1,finite_subsets(X0))
=> finite(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_finsub_1) ).
fof(f31,conjecture,
! [X0,X1] :
( element(X1,finite_subsets(X0))
=> finite(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_finsub_1) ).
fof(f32,negated_conjecture,
~ ! [X0,X1] :
( element(X1,finite_subsets(X0))
=> finite(X1) ),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f59,plain,
! [X0,X1] :
( ~ element(X1,finite_subsets(X0))
| finite(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f63,plain,
? [X0,X1] :
( element(X1,finite_subsets(X0))
& ~ finite(X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f74,plain,
( element(sK11,finite_subsets(sK10))
& ~ finite(sK11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X0,sK10),skolemize(X1,sK11)],[f63]) ).
fof(f102,plain,
! [X0,X1] :
( ~ element(X1,finite_subsets(X0))
| finite(X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f124,plain,
element(sK11,finite_subsets(sK10)),
inference(cnf_transformation,[],[f74]) ).
fof(f125,plain,
~ finite(sK11),
inference(cnf_transformation,[],[f74]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( finite(X0)
| ~ element(X0,finite_subsets(X1)) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_98,negated_conjecture,
~ finite(sK11),
inference(cnf_transformation,[],[f125]) ).
tcf(c_99,negated_conjecture,
element(sK11,finite_subsets(sK10)),
inference(cnf_transformation,[],[f124]) ).
tcf(c_614,definition,
iPr_def_10 = finite_subsets(sK10),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_615,negated_conjecture,
element(sK11,iPr_def_10),
inference(demodulation,[status(thm)],[c_99,c_614]) ).
tcf(c_616,negated_conjecture,
~ finite(sK11),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_997,plain,
! [X0: $i] :
( finite(X0)
| ~ element(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_614,c_76]) ).
tcf(c_1008,plain,
finite(sK11),
inference(superposition,[status(thm)],[c_615,c_997]) ).
tcf(c_1009,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1008,c_616]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU116+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/5.38 % Computer : n004.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Thu Sep 24 12:47:13 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.12/5.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.43 Running first-order theorem proving
% 0.15/5.43 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/5.44
% 0.15/5.44 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.44
% 0.15/5.44 % Detected problem language: tptp
% 0.15/5.45 % Proving...
% 1.68/6.19 % SZS status Started for theBenchmark.p
% 1.68/6.19 % SZS status Theorem for theBenchmark.p
% 1.68/6.19
% 1.68/6.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.68/6.19
% 1.68/6.19 % ------ iProver source info
% 1.68/6.19
% 1.68/6.19 % git: date: 2026-07-19 20:42:38 +0200
% 1.68/6.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.68/6.19 % git: non_committed_changes: false
% 1.68/6.19
% 1.68/6.19 % ------ Parsing...
% 1.68/6.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.68/6.19
% 1.68/6.19 % ------ Preprocessing... sup_sim: 0 sf_s rm: 16 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e %
% 1.68/6.19
% 1.68/6.19 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.68/6.19
% 1.68/6.19 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.68/6.19 % ------ Proving...
% 1.68/6.19 % ------ Problem Properties
% 1.68/6.19
% 1.68/6.19 %
% 1.68/6.19 % clauses 37
% 1.68/6.19 % conjectures 2
% 1.68/6.19 % EPR 15
% 1.68/6.19 % Horn 31
% 1.68/6.19 % unary 18
% 1.68/6.19 % binary 14
% 1.68/6.19 % lits 61
% 1.68/6.19 % lits eq 3
% 1.68/6.19 % fd_pure 0
% 1.68/6.19 % fd_pseudo 0
% 1.68/6.19 % fd_cond 1
% 1.68/6.19 % fd_pseudo_cond 1
% 1.68/6.19 % AC symbols 0
% 1.68/6.19
% 1.68/6.19 % ------ Schedule dynamic 5 is on
% 1.68/6.19
% 1.68/6.19 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.68/6.19
% 1.68/6.19
% 1.68/6.19 % ------
% 1.68/6.19 % Current options:
% 1.68/6.19 % ------
% 1.68/6.19
% 1.68/6.19
% 1.68/6.19 %
% 1.68/6.19
% 1.68/6.19 % ------ Proving...
% 1.68/6.19 %
% 1.68/6.19
% 1.68/6.19 % SZS status Theorem for theBenchmark.p
% 1.68/6.19
% 1.68/6.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.68/6.19
% 1.68/6.19
%------------------------------------------------------------------------------