%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU303+3 : 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 : 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 02:56:34 PM UTC 2026
% Result : Theorem 1.39s 0.97s
% Output : CNFRefutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 17 unt; 2 def)
% Number of atoms : 77 ( 8 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 62 ( 25 ~; 18 |; 12 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 7 ( 5 usr; 3 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(f53,axiom,
! [X0] :
( relation(X0)
=> relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t146_relat_1) ).
fof(f54,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( finite(X0)
=> finite(relation_image(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_finset_1) ).
fof(f56,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( finite(relation_dom(X0))
=> finite(relation_rng(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_finset_1) ).
fof(f57,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( finite(relation_dom(X0))
=> finite(relation_rng(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f114,plain,
! [X0] :
( ~ relation(X0)
| relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f115,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ finite(X0)
| finite(relation_image(X1,X0)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f116,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ finite(X0)
| finite(relation_image(X1,X0)) ),
inference(flattening,[],[f115]) ).
fof(f118,plain,
? [X0] :
( function(X0)
& relation(X0)
& finite(relation_dom(X0))
& ~ finite(relation_rng(X0)) ),
inference(ennf_transformation,[],[f57]) ).
fof(f119,plain,
? [X0] :
( function(X0)
& relation(X0)
& finite(relation_dom(X0))
& ~ finite(relation_rng(X0)) ),
inference(flattening,[],[f118]) ).
fof(f155,plain,
( function(sK26)
& relation(sK26)
& finite(relation_dom(sK26))
& ~ finite(relation_rng(sK26)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(X0,sK26)],[f119]) ).
fof(f276,plain,
! [X0] :
( ~ relation(X0)
| relation_rng(X0) = relation_image(X0,relation_dom(X0)) ),
inference(cnf_transformation,[],[f114]) ).
fof(f277,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ finite(X0)
| finite(relation_image(X1,X0)) ),
inference(cnf_transformation,[],[f116]) ).
fof(f279,plain,
function(sK26),
inference(cnf_transformation,[],[f155]) ).
fof(f280,plain,
relation(sK26),
inference(cnf_transformation,[],[f155]) ).
fof(f281,plain,
finite(relation_dom(sK26)),
inference(cnf_transformation,[],[f155]) ).
fof(f282,plain,
~ finite(relation_rng(sK26)),
inference(cnf_transformation,[],[f155]) ).
tcf(c_165,plain,
! [X0: $i] :
( ( relation_image(X0,relation_dom(X0)) = relation_rng(X0) )
| ~ relation(X0) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i] :
( finite(relation_image(X1,X0))
| ~ relation(X1)
| ~ function(X1)
| ~ finite(X0) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_168,negated_conjecture,
~ finite(relation_rng(sK26)),
inference(cnf_transformation,[],[f282]) ).
tcf(c_169,negated_conjecture,
finite(relation_dom(sK26)),
inference(cnf_transformation,[],[f281]) ).
tcf(c_170,negated_conjecture,
relation(sK26),
inference(cnf_transformation,[],[f280]) ).
tcf(c_171,negated_conjecture,
function(sK26),
inference(cnf_transformation,[],[f279]) ).
tcf(c_2658,definition,
iPr_def_10 = relation_dom(sK26),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2659,definition,
iPr_def_11 = relation_rng(sK26),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2660,negated_conjecture,
function(sK26),
inference(demodulation,[status(thm)],[c_171]) ).
tcf(c_2661,negated_conjecture,
relation(sK26),
inference(demodulation,[status(thm)],[c_170]) ).
tcf(c_2662,negated_conjecture,
finite(iPr_def_10),
inference(demodulation,[status(thm)],[c_169,c_2658]) ).
tcf(c_2663,negated_conjecture,
~ finite(iPr_def_11),
inference(demodulation,[status(thm)],[c_168,c_2659]) ).
tcf(c_3638,plain,
relation_image(sK26,relation_dom(sK26)) = relation_rng(sK26),
inference(superposition,[status(thm)],[c_2661,c_165]) ).
tcf(c_3639,plain,
relation_image(sK26,iPr_def_10) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_3638,c_2658,c_2659]) ).
tcf(c_3669,plain,
( finite(iPr_def_11)
| ~ relation(sK26)
| ~ function(sK26)
| ~ finite(iPr_def_10) ),
inference(superposition,[status(thm)],[c_3639,c_166]) ).
tcf(c_3670,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3669,c_2663,c_2661,c_2660,c_2662]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU303+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.02/0.30 % Computer : n012.cluster.edu
% 0.02/0.30 % Model : x86_64 x86_64
% 0.02/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.30 % Memory : 8046.5625MB
% 0.02/0.30 % OS : Linux 6.8.0-71-generic
% 0.02/0.30 % CPULimit : 300
% 0.02/0.30 % WCLimit : 300
% 0.02/0.30 % DateTime : Thu Sep 24 13:37:07 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.02/0.32 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
% 0.06/0.33
% 0.06/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.06/0.33
% 0.06/0.33 % Detected problem language: tptp
% 0.06/0.33 % Proving...
% 1.39/0.97 % SZS status Started for theBenchmark.p
% 1.39/0.97 % SZS status Theorem for theBenchmark.p
% 1.39/0.97
% 1.39/0.97 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.39/0.97
% 1.39/0.97 % ------ iProver source info
% 1.39/0.97
% 1.39/0.97 % git: date: 2026-07-19 20:42:38 +0200
% 1.39/0.97 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.39/0.97 % git: non_committed_changes: false
% 1.39/0.97
% 1.39/0.97 % ------ Parsing...
% 1.39/0.97 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.39/0.97
% 1.39/0.97 % ------ Preprocessing... sup_sim: 0 sf_s rm: 46 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e %
% 1.39/0.97
% 1.39/0.97 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.39/0.97
% 1.39/0.97 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.39/0.97 % ------ Proving...
% 1.39/0.97 % ------ Problem Properties
% 1.39/0.97
% 1.39/0.97 %
% 1.39/0.97 % clauses 80
% 1.39/0.97 % conjectures 4
% 1.39/0.97 % EPR 52
% 1.39/0.97 % Horn 76
% 1.39/0.97 % unary 55
% 1.39/0.97 % binary 17
% 1.39/0.97 % lits 114
% 1.39/0.98 % lits eq 5
% 1.39/0.98 % fd_pure 0
% 1.39/0.98 % fd_pseudo 0
% 1.39/0.98 % fd_cond 1
% 1.39/0.98 % fd_pseudo_cond 1
% 1.39/0.98 % AC symbols 0
% 1.39/0.98
% 1.39/0.98 % ------ Schedule dynamic 5 is on
% 1.39/0.98
% 1.39/0.98 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.39/0.98
% 1.39/0.98
% 1.39/0.98 % ------
% 1.39/0.98 % Current options:
% 1.39/0.98 % ------
% 1.39/0.98
% 1.39/0.98
% 1.39/0.98 %
% 1.39/0.98
% 1.39/0.98 % ------ Proving...
% 1.39/0.98 %
% 1.39/0.98
% 1.39/0.98 % SZS status Theorem for theBenchmark.p
% 1.39/0.98
% 1.39/0.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.39/0.98
% 1.39/0.98
%------------------------------------------------------------------------------