%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU083+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 : n015.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 02:55:23 PM UTC 2026
% Result : Theorem 1.92s 1.18s
% Output : CNFRefutation 1.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 11 unt; 1 def)
% Number of atoms : 47 ( 1 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 39 ( 17 ~; 10 |; 9 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 14 !; 4 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f61,conjecture,
! [X0,X1] :
( ( finite(X1)
& finite(X0) )
=> finite(set_union2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_finset_1) ).
fof(f62,negated_conjecture,
~ ! [X0,X1] :
( ( finite(X1)
& finite(X0) )
=> finite(set_union2(X0,X1)) ),
inference(negated_conjecture,[status(cth)],[f61]) ).
fof(f63,axiom,
! [X0,X1] :
( ( finite(X1)
& finite(X0) )
=> finite(set_union2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_finset_1) ).
fof(f121,plain,
? [X0,X1] :
( finite(X1)
& finite(X0)
& ~ finite(set_union2(X0,X1)) ),
inference(ennf_transformation,[],[f62]) ).
fof(f122,plain,
? [X0,X1] :
( finite(X1)
& finite(X0)
& ~ finite(set_union2(X0,X1)) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
! [X0,X1] :
( ~ finite(X1)
| ~ finite(X0)
| finite(set_union2(X0,X1)) ),
inference(ennf_transformation,[],[f63]) ).
fof(f124,plain,
! [X0,X1] :
( ~ finite(X1)
| ~ finite(X0)
| finite(set_union2(X0,X1)) ),
inference(flattening,[],[f123]) ).
fof(f151,plain,
( finite(sK27)
& finite(sK26)
& ~ finite(set_union2(sK26,sK27)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26,sK27]),skolemize(X0,sK26),skolemize(X1,sK27)],[f122]) ).
fof(f275,plain,
finite(sK27),
inference(cnf_transformation,[],[f151]) ).
fof(f276,plain,
finite(sK26),
inference(cnf_transformation,[],[f151]) ).
fof(f277,plain,
~ finite(set_union2(sK26,sK27)),
inference(cnf_transformation,[],[f151]) ).
fof(f278,plain,
! [X0,X1] :
( ~ finite(X1)
| ~ finite(X0)
| finite(set_union2(X0,X1)) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_168,negated_conjecture,
~ finite(set_union2(sK26,sK27)),
inference(cnf_transformation,[],[f277]) ).
tcf(c_169,negated_conjecture,
finite(sK26),
inference(cnf_transformation,[],[f276]) ).
tcf(c_170,negated_conjecture,
finite(sK27),
inference(cnf_transformation,[],[f275]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i] :
( finite(set_union2(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_909,definition,
iPr_def_10 = set_union2(sK26,sK27),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_910,negated_conjecture,
finite(sK27),
inference(demodulation,[status(thm)],[c_170]) ).
tcf(c_911,negated_conjecture,
finite(sK26),
inference(demodulation,[status(thm)],[c_169]) ).
tcf(c_912,negated_conjecture,
~ finite(iPr_def_10),
inference(demodulation,[status(thm)],[c_168,c_909]) ).
tcf(c_1524,plain,
( finite(iPr_def_10)
| ~ finite(sK27)
| ~ finite(sK26) ),
inference(superposition,[status(thm)],[c_909,c_171]) ).
tcf(c_1526,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1524,c_912,c_910,c_911]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU083+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.37 % Computer : n015.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Thu Sep 24 12:46:25 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 0.13/0.42
% 0.13/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.42
% 0.13/0.42 % Detected problem language: tptp
% 0.13/0.44 % Proving...
% 1.92/1.18 % SZS status Started for theBenchmark.p
% 1.92/1.18 % SZS status Theorem for theBenchmark.p
% 1.92/1.18
% 1.92/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.92/1.18
% 1.92/1.18 % ------ iProver source info
% 1.92/1.18
% 1.92/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 1.92/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.92/1.18 % git: non_committed_changes: false
% 1.92/1.18
% 1.92/1.18 % ------ Parsing...
% 1.92/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.92/1.18
% 1.92/1.18 % ------ Preprocessing... sup_sim: 0 sf_s rm: 70 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 6 0s sf_e pe_s pe_e %
% 1.92/1.18
% 1.92/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.92/1.18
% 1.92/1.18 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.92/1.18 % ------ Proving...
% 1.92/1.18 % ------ Problem Properties
% 1.92/1.18
% 1.92/1.18 %
% 1.92/1.18 % clauses 49
% 1.92/1.18 % conjectures 3
% 1.92/1.18 % EPR 26
% 1.92/1.18 % Horn 45
% 1.92/1.18 % unary 31
% 1.92/1.18 % binary 12
% 1.92/1.18 % lits 73
% 1.92/1.18 % lits eq 6
% 1.92/1.18 % fd_pure 0
% 1.92/1.18 % fd_pseudo 0
% 1.92/1.18 % fd_cond 1
% 1.92/1.18 % fd_pseudo_cond 1
% 1.92/1.18 % AC symbols 0
% 1.92/1.18
% 1.92/1.18 % ------ Schedule dynamic 5 is on
% 1.92/1.18
% 1.92/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.92/1.18
% 1.92/1.18
% 1.92/1.18 % ------
% 1.92/1.18 % Current options:
% 1.92/1.18 % ------
% 1.92/1.18
% 1.92/1.18
% 1.92/1.18 %
% 1.92/1.18
% 1.92/1.18 % ------ Proving...
% 1.92/1.18 %
% 1.92/1.18
% 1.92/1.18 % SZS status Theorem for theBenchmark.p
% 1.92/1.18
% 1.92/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.92/1.18
% 1.92/1.18
%------------------------------------------------------------------------------