%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU303+1 : 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 : n019.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 02:56:33 PM UTC 2026
% Result : Theorem 1.69s 1.25s
% Output : CNFRefutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 17 unt; 3 def)
% Number of atoms : 91 ( 12 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 75 ( 32 ~; 24 |; 13 &)
% ( 0 <=>; 6 =>; 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 : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 22 !; 2 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,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(f6,axiom,
! [X0] :
( relation(X0)
=> relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t146_relat_1) ).
fof(f8,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(f9,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( finite(relation_dom(X0))
=> finite(relation_rng(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,plain,
! [X0,X1] :
( ~ finite(X1)
| ~ function(X0)
| ~ relation(X0)
| finite(relation_image(X0,X1)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f11,plain,
! [X0,X1] :
( ~ finite(X1)
| ~ function(X0)
| ~ relation(X0)
| finite(relation_image(X0,X1)) ),
inference(flattening,[],[f10]) ).
fof(f12,plain,
! [X0] :
( ~ relation(X0)
| relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f15,plain,
? [X0] :
( function(X0)
& relation(X0)
& finite(relation_dom(X0))
& ~ finite(relation_rng(X0)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f16,plain,
? [X0] :
( function(X0)
& relation(X0)
& finite(relation_dom(X0))
& ~ finite(relation_rng(X0)) ),
inference(flattening,[],[f15]) ).
fof(f18,plain,
( function(sK1)
& relation(sK1)
& finite(relation_dom(sK1))
& ~ finite(relation_rng(sK1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f16]) ).
fof(f19,plain,
! [X0,X1] :
( ~ finite(X1)
| ~ function(X0)
| ~ relation(X0)
| finite(relation_image(X0,X1)) ),
inference(cnf_transformation,[],[f11]) ).
fof(f22,plain,
! [X0] :
( ~ relation(X0)
| relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f24,plain,
function(sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f25,plain,
relation(sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f26,plain,
finite(relation_dom(sK1)),
inference(cnf_transformation,[],[f18]) ).
fof(f27,plain,
~ finite(relation_rng(sK1)),
inference(cnf_transformation,[],[f18]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( finite(relation_image(X1,X0))
| ~ function(X1)
| ~ relation(X1)
| ~ finite(X0) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_52,plain,
! [X0: $i] :
( ( relation_image(X0,relation_dom(X0)) = relation_rng(X0) )
| ~ relation(X0) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_54,negated_conjecture,
~ finite(relation_rng(sK1)),
inference(cnf_transformation,[],[f27]) ).
tcf(c_55,negated_conjecture,
finite(relation_dom(sK1)),
inference(cnf_transformation,[],[f26]) ).
tcf(c_56,negated_conjecture,
relation(sK1),
inference(cnf_transformation,[],[f25]) ).
tcf(c_57,negated_conjecture,
function(sK1),
inference(cnf_transformation,[],[f24]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i] :
( finite(relation_image(X0,X1))
| ~ relation(X0)
| ~ finite(X1)
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_57]) ).
tcf(c_116,plain,
! [X0: $i] :
( finite(relation_image(sK1,X0))
| ~ relation(sK1)
| ~ finite(X0) ),
inference(unflattening,[status(thm)],[c_115]) ).
tcf(c_118,plain,
! [X0: $i] :
( finite(relation_image(sK1,X0))
| ~ finite(X0) ),
inference(global_subsumption_just,[status(thm)],[c_116,c_56,c_116]) ).
tcf(c_136,plain,
! [X0: $i] :
( ( relation_image(X0,relation_dom(X0)) = relation_rng(X0) )
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_56]) ).
tcf(c_137,plain,
relation_image(sK1,relation_dom(sK1)) = relation_rng(sK1),
inference(unflattening,[status(thm)],[c_136]) ).
tcf(c_172,definition,
iPr_def_10 = relation_dom(sK1),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_173,definition,
iPr_def_11 = relation_image(sK1,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_174,definition,
iPr_def_12 = relation_rng(sK1),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_175,plain,
iPr_def_11 = iPr_def_12,
inference(demodulation,[status(thm)],[c_137,c_174,c_172,c_173]) ).
tcf(c_176,plain,
! [X0: $i] :
( finite(relation_image(sK1,X0))
| ~ finite(X0) ),
inference(demodulation,[status(thm)],[c_118]) ).
tcf(c_177,negated_conjecture,
finite(iPr_def_10),
inference(demodulation,[status(thm)],[c_55]) ).
tcf(c_178,negated_conjecture,
~ finite(iPr_def_12),
inference(demodulation,[status(thm)],[c_54]) ).
tcf(c_293,plain,
~ finite(iPr_def_11),
inference(light_normalisation,[status(thm)],[c_178,c_175]) ).
tcf(c_297,plain,
( finite(iPr_def_11)
| ~ finite(iPr_def_10) ),
inference(superposition,[status(thm)],[c_173,c_176]) ).
tcf(c_298,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_297,c_293,c_177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU303+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n019.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Thu Sep 24 13:37:19 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.38 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
% 0.13/0.39
% 0.13/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.39
% 0.13/0.39 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 1.69/1.25 % SZS status Started for theBenchmark.p
% 1.69/1.25 % SZS status Theorem for theBenchmark.p
% 1.69/1.25
% 1.69/1.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.69/1.25
% 1.69/1.25 % ------ iProver source info
% 1.69/1.25
% 1.69/1.25 % git: date: 2026-07-19 20:42:38 +0200
% 1.69/1.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.69/1.25 % git: non_committed_changes: false
% 1.69/1.25
% 1.69/1.25 % ------ Parsing...
% 1.69/1.25 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.69/1.25
% 1.69/1.25 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 1.69/1.25
% 1.69/1.25 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.69/1.25
% 1.69/1.25 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.69/1.25 % ------ Proving...
% 1.69/1.25 % ------ Problem Properties
% 1.69/1.25
% 1.69/1.25 %
% 1.69/1.25 % clauses 9
% 1.69/1.25 % conjectures 2
% 1.69/1.25 % EPR 3
% 1.69/1.25 % Horn 9
% 1.69/1.25 % unary 7
% 1.69/1.25 % binary 2
% 1.69/1.25 % lits 11
% 1.69/1.25 % lits eq 5
% 1.69/1.25 % fd_pure 0
% 1.69/1.25 % fd_pseudo 0
% 1.69/1.25 % fd_cond 0
% 1.69/1.25 % fd_pseudo_cond 0
% 1.69/1.25 % AC symbols 0
% 1.69/1.25
% 1.69/1.25 % ------ Schedule dynamic 5 is on
% 1.69/1.25
% 1.69/1.25 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.69/1.25
% 1.69/1.25
% 1.69/1.25 % ------
% 1.69/1.25 % Current options:
% 1.69/1.25 % ------
% 1.69/1.25
% 1.69/1.25
% 1.69/1.25 %
% 1.69/1.25
% 1.69/1.25 % ------ Proving...
% 1.69/1.25 %
% 1.69/1.25
% 1.69/1.25 % SZS status Theorem for theBenchmark.p
% 1.69/1.25
% 1.69/1.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.69/1.25
% 1.69/1.25
%------------------------------------------------------------------------------