%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU303+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 02:56:34 PM UTC 2026
% Result : Theorem 91.51s 15.12s
% Output : CNFRefutation 91.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 10 unt; 0 def)
% Number of atoms : 62 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 61 ( 24 ~; 18 |; 13 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 16 !; 2 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f138,axiom,
! [X0,X1] :
( ( finite(X1)
& function(X0)
& relation(X0) )
=> finite(relation_image(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc13_finset_1) ).
fof(f277,axiom,
! [X0] :
( relation(X0)
=> relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t146_relat_1) ).
fof(f318,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( finite(relation_dom(X0))
=> finite(relation_rng(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_finset_1) ).
fof(f319,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( finite(relation_dom(X0))
=> finite(relation_rng(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f318]) ).
fof(f523,plain,
! [X0] :
( ~ relation(X0)
| relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
inference(ennf_transformation,[],[f277]) ).
fof(f584,plain,
? [X0] :
( function(X0)
& relation(X0)
& finite(relation_dom(X0))
& ~ finite(relation_rng(X0)) ),
inference(ennf_transformation,[],[f319]) ).
fof(f585,plain,
? [X0] :
( function(X0)
& relation(X0)
& finite(relation_dom(X0))
& ~ finite(relation_rng(X0)) ),
inference(flattening,[],[f584]) ).
fof(f777,plain,
! [X0,X1] :
( ~ finite(X1)
| ~ function(X0)
| ~ relation(X0)
| finite(relation_image(X0,X1)) ),
inference(ennf_transformation,[],[f138]) ).
fof(f778,plain,
! [X0,X1] :
( ~ finite(X1)
| ~ function(X0)
| ~ relation(X0)
| finite(relation_image(X0,X1)) ),
inference(flattening,[],[f777]) ).
fof(f1056,plain,
( function(sK122)
& relation(sK122)
& finite(relation_dom(sK122))
& ~ finite(relation_rng(sK122)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK122]),skolemize(X0,sK122)],[f585]) ).
fof(f1610,plain,
! [X0] :
( ~ relation(X0)
| relation_rng(X0) = relation_image(X0,relation_dom(X0)) ),
inference(cnf_transformation,[],[f523]) ).
fof(f1666,plain,
function(sK122),
inference(cnf_transformation,[],[f1056]) ).
fof(f1667,plain,
relation(sK122),
inference(cnf_transformation,[],[f1056]) ).
fof(f1668,plain,
finite(relation_dom(sK122)),
inference(cnf_transformation,[],[f1056]) ).
fof(f1669,plain,
~ finite(relation_rng(sK122)),
inference(cnf_transformation,[],[f1056]) ).
fof(f2196,plain,
! [X0,X1] :
( ~ finite(X1)
| ~ function(X0)
| ~ relation(X0)
| finite(relation_image(X0,X1)) ),
inference(cnf_transformation,[],[f778]) ).
tcf(c_283,plain,
! [X0: $i] :
( ( relation_image(X0,relation_dom(X0)) = relation_rng(X0) )
| ~ relation(X0) ),
inference(cnf_transformation,[],[f1610]) ).
tcf(c_339,negated_conjecture,
~ finite(relation_rng(sK122)),
inference(cnf_transformation,[],[f1669]) ).
tcf(c_340,negated_conjecture,
finite(relation_dom(sK122)),
inference(cnf_transformation,[],[f1668]) ).
tcf(c_341,negated_conjecture,
relation(sK122),
inference(cnf_transformation,[],[f1667]) ).
tcf(c_342,negated_conjecture,
function(sK122),
inference(cnf_transformation,[],[f1666]) ).
tcf(c_864,plain,
! [X0: $i,X1: $i] :
( finite(relation_image(X0,X1))
| ~ finite(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f2196]) ).
tcf(c_143515,plain,
relation_image(sK122,relation_dom(sK122)) = relation_rng(sK122),
inference(superposition,[status(thm)],[c_341,c_283]) ).
tcf(c_182877,plain,
( finite(relation_rng(sK122))
| ~ function(sK122)
| ~ relation(sK122)
| ~ finite(relation_dom(sK122)) ),
inference(superposition,[status(thm)],[c_143515,c_864]) ).
tcf(c_182880,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_182877,c_339,c_342,c_341,c_340]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU303+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.40 % Computer : n014.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Thu Sep 24 13:37:03 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.46 Running first-order theorem proving
% 0.13/0.46 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
% 0.13/0.48
% 0.13/0.48 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.48
% 0.13/0.48 % Detected problem language: tptp
% 0.13/0.49 % Proving...
% 91.51/15.12 % SZS status Started for theBenchmark.p
% 91.51/15.12 % SZS status Theorem for theBenchmark.p
% 91.51/15.12
% 91.51/15.12 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 91.51/15.12
% 91.51/15.12 % ------ iProver source info
% 91.51/15.12
% 91.51/15.12 % git: date: 2026-07-19 20:42:38 +0200
% 91.51/15.12 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 91.51/15.12 % git: non_committed_changes: false
% 91.51/15.12
% 91.51/15.12 % ------ Parsing...
% 91.51/15.12 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 91.51/15.12
% 91.51/15.12 % ------ Preprocessing... sup_sim: 96 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 7 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 7 0s sf_e pe_s pe_e %
% 91.51/15.12
% 91.51/15.12 % ------ Preprocessing... gs_s sp: 14 0s gs_e snvd_s sp: 0 0s snvd_e %
% 91.51/15.12
% 91.51/15.12 % ------ Preprocessing... sf_s rm: 3 0s sf_e sf_s rm: 0 0s sf_e
% 91.51/15.12 % ------ Proving...
% 91.51/15.12 % ------ Problem Properties
% 91.51/15.12
% 91.51/15.12 %
% 91.51/15.12 % clauses 1007
% 91.51/15.12 % conjectures 4
% 91.51/15.12 % EPR 156
% 91.51/15.12 % Horn 744
% 91.51/15.12 % unary 111
% 91.51/15.12 % binary 317
% 91.51/15.12 % lits 3055
% 91.51/15.12 % lits eq 440
% 91.51/15.12 % fd_pure 0
% 91.51/15.12 % fd_pseudo 0
% 91.51/15.12 % fd_cond 41
% 91.51/15.12 % fd_pseudo_cond 108
% 91.51/15.12 % AC symbols 0
% 91.51/15.12
% 91.51/15.12 % ------ Schedule dynamic 5 is on
% 91.51/15.12
% 91.51/15.12 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 91.51/15.12
% 91.51/15.12
% 91.51/15.12 % ------
% 91.51/15.12 % Current options:
% 91.51/15.12 % ------
% 91.51/15.12
% 91.51/15.12
% 91.51/15.12 %
% 91.51/15.12
% 91.51/15.12 % ------ Proving...
% 91.51/15.12 %
% 91.51/15.12
% 91.51/15.12 % SZS status Theorem for theBenchmark.p
% 91.51/15.12
% 91.51/15.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 91.51/15.12
% 91.51/15.12
%------------------------------------------------------------------------------