%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU040+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 : n006.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 02:55:07 PM UTC 2026
% Result : Theorem 0.14s 11.92s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 11 unt; 5 def)
% Number of atoms : 82 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 53 ( 23 ~; 16 |; 10 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 20 !; 4 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f36,conjecture,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1))
& subset(relation_dom(relation_dom_restriction(X1,X0)),relation_dom(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t76_funct_1) ).
fof(f37,negated_conjecture,
~ ! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1))
& subset(relation_dom(relation_dom_restriction(X1,X0)),relation_dom(X1)) ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f38,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_dom(relation_dom_restriction(X1,X0)),relation_dom(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t89_relat_1) ).
fof(f39,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t99_relat_1) ).
fof(f69,plain,
? [X0,X1] :
( function(X1)
& relation(X1)
& ( ~ subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1))
| ~ subset(relation_dom(relation_dom_restriction(X1,X0)),relation_dom(X1)) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f70,plain,
? [X0,X1] :
( function(X1)
& relation(X1)
& ( ~ subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1))
| ~ subset(relation_dom(relation_dom_restriction(X1,X0)),relation_dom(X1)) ) ),
inference(flattening,[],[f69]) ).
fof(f71,plain,
! [X0,X1] :
( ~ relation(X1)
| subset(relation_dom(relation_dom_restriction(X1,X0)),relation_dom(X1)) ),
inference(ennf_transformation,[],[f38]) ).
fof(f72,plain,
! [X0,X1] :
( ~ relation(X1)
| subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ),
inference(ennf_transformation,[],[f39]) ).
fof(f85,plain,
( function(sK12)
& relation(sK12)
& ( ~ subset(relation_rng(relation_dom_restriction(sK12,sK11)),relation_rng(sK12))
| ~ subset(relation_dom(relation_dom_restriction(sK12,sK11)),relation_dom(sK12)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12]),skolemize(X0,sK11),skolemize(X1,sK12)],[f70]) ).
fof(f140,plain,
relation(sK12),
inference(cnf_transformation,[],[f85]) ).
fof(f141,plain,
( ~ subset(relation_rng(relation_dom_restriction(sK12,sK11)),relation_rng(sK12))
| ~ subset(relation_dom(relation_dom_restriction(sK12,sK11)),relation_dom(sK12)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f142,plain,
! [X0,X1] :
( ~ relation(X1)
| subset(relation_dom(relation_dom_restriction(X1,X0)),relation_dom(X1)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f143,plain,
! [X0,X1] :
( ~ relation(X1)
| subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_100,negated_conjecture,
( ~ subset(relation_rng(relation_dom_restriction(sK12,sK11)),relation_rng(sK12))
| ~ subset(relation_dom(relation_dom_restriction(sK12,sK11)),relation_dom(sK12)) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_101,negated_conjecture,
relation(sK12),
inference(cnf_transformation,[],[f140]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i] :
( subset(relation_dom(relation_dom_restriction(X0,X1)),relation_dom(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i] :
( subset(relation_rng(relation_dom_restriction(X0,X1)),relation_rng(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_1200,definition,
iPr_def_10 = relation_dom_restriction(sK12,sK11),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1201,definition,
iPr_def_11 = relation_dom(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_1202,definition,
iPr_def_12 = relation_dom(sK12),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_1203,definition,
iPr_def_13 = relation_rng(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_1204,definition,
iPr_def_14 = relation_rng(sK12),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_1205,negated_conjecture,
relation(sK12),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_1206,negated_conjecture,
( ~ subset(iPr_def_13,iPr_def_14)
| ~ subset(iPr_def_11,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_100,c_1204,c_1203,c_1202,c_1200,c_1201]) ).
tcf(c_2233,plain,
( subset(relation_dom(iPr_def_10),relation_dom(sK12))
| ~ relation(sK12) ),
inference(superposition,[status(thm)],[c_1200,c_103]) ).
tcf(c_2237,plain,
( subset(iPr_def_11,iPr_def_12)
| ~ relation(sK12) ),
inference(light_normalisation,[status(thm)],[c_2233,c_1201,c_1202]) ).
tcf(c_2238,plain,
subset(iPr_def_11,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_2237,c_1205]) ).
tcf(c_2250,plain,
( subset(relation_rng(iPr_def_10),relation_rng(sK12))
| ~ relation(sK12) ),
inference(superposition,[status(thm)],[c_1200,c_104]) ).
tcf(c_2254,plain,
( subset(iPr_def_13,iPr_def_14)
| ~ relation(sK12) ),
inference(light_normalisation,[status(thm)],[c_2250,c_1203,c_1204]) ).
tcf(c_2255,plain,
subset(iPr_def_13,iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_2254,c_1205]) ).
tcf(c_2259,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2255,c_2238,c_1206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU040+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/11.00 % Computer : n006.cluster.edu
% 0.09/11.00 % Model : x86_64 x86_64
% 0.09/11.00 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/11.00 % Memory : 8046.5625MB
% 0.09/11.00 % OS : Linux 6.8.0-71-generic
% 0.09/11.00 % CPULimit : 300
% 0.09/11.00 % WCLimit : 300
% 0.09/11.00 % DateTime : Thu Sep 24 12:37:29 UTC 2026
% 0.09/11.00 % CPUTime :
% 0.09/11.00 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/11.03 Running first-order theorem proving
% 0.14/11.03 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
% 0.14/11.05
% 0.14/11.05 % ======== iProver multi-core TPTP/SMT =========
% 0.14/11.05
% 0.14/11.05 % Detected problem language: tptp
% 0.14/11.06 % Proving...
% 0.14/11.92 % SZS status Started for theBenchmark.p
% 0.14/11.92 % SZS status Theorem for theBenchmark.p
% 0.14/11.92
% 0.14/11.92 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.14/11.92
% 0.14/11.92 % ------ iProver source info
% 0.14/11.92
% 0.14/11.92 % git: date: 2026-07-19 20:42:38 +0200
% 0.14/11.92 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.14/11.92 % git: non_committed_changes: false
% 0.14/11.92
% 0.14/11.92 % ------ Parsing...
% 0.14/11.92 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.14/11.92
% 0.14/11.92 % ------ Preprocessing... sup_sim: 0 sf_s rm: 12 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 0.14/11.92
% 0.14/11.92 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.14/11.92
% 0.14/11.92 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.14/11.92 % ------ Proving...
% 0.14/11.92 % ------ Problem Properties
% 0.14/11.92
% 0.14/11.92 %
% 0.14/11.92 % clauses 47
% 0.14/11.92 % conjectures 2
% 0.14/11.92 % EPR 25
% 0.14/11.92 % Horn 45
% 0.14/11.92 % unary 24
% 0.14/11.92 % binary 17
% 0.14/11.92 % lits 76
% 0.14/11.92 % lits eq 7
% 0.14/11.92 % fd_pure 0
% 0.14/11.92 % fd_pseudo 0
% 0.14/11.92 % fd_cond 1
% 0.14/11.92 % fd_pseudo_cond 1
% 0.14/11.92 % AC symbols 0
% 0.14/11.92
% 0.14/11.92 % ------ Schedule dynamic 5 is on
% 0.14/11.92
% 0.14/11.92 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.14/11.92
% 0.14/11.92
% 0.14/11.92 % ------
% 0.14/11.92 % Current options:
% 0.14/11.92 % ------
% 0.14/11.92
% 0.14/11.92
% 0.14/11.92 %
% 0.14/11.92
% 0.14/11.92 % ------ Proving...
% 0.14/11.92 %
% 0.14/11.92
% 0.14/11.92 % SZS status Theorem for theBenchmark.p
% 0.14/11.92
% 0.14/11.92 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.14/11.92
% 0.14/11.92
%------------------------------------------------------------------------------