%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU248+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 02:56:21 PM UTC 2026
% Result : Theorem 3.28s 1.20s
% Output : CNFRefutation 3.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 7 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 74 ( 37 ~; 25 |; 5 &)
% ( 0 <=>; 7 =>; 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 : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 30 !; 2 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f101,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f146,conjecture,
! [X0,X1] :
( relation(X1)
=> subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l29_wellord1) ).
fof(f147,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) ),
inference(negated_conjecture,[status(cth)],[f146]) ).
fof(f186,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng_restriction(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t117_relat_1) ).
fof(f223,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(X0,X1)
=> ( subset(relation_rng(X0),relation_rng(X1))
& subset(relation_dom(X0),relation_dom(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_relat_1) ).
fof(f395,plain,
! [X0,X1] :
( ~ relation(X1)
| relation(relation_rng_restriction(X0,X1)) ),
inference(ennf_transformation,[],[f101]) ).
fof(f436,plain,
? [X0,X1] :
( relation(X1)
& ~ subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) ),
inference(ennf_transformation,[],[f147]) ).
fof(f462,plain,
! [X0,X1] :
( ~ relation(X1)
| subset(relation_rng_restriction(X0,X1),X1) ),
inference(ennf_transformation,[],[f186]) ).
fof(f512,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ~ relation(X1)
| ~ subset(X0,X1)
| ( subset(relation_rng(X0),relation_rng(X1))
& subset(relation_dom(X0),relation_dom(X1)) ) ) ),
inference(ennf_transformation,[],[f223]) ).
fof(f513,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ~ relation(X1)
| ~ subset(X0,X1)
| ( subset(relation_rng(X0),relation_rng(X1))
& subset(relation_dom(X0),relation_dom(X1)) ) ) ),
inference(flattening,[],[f512]) ).
fof(f747,plain,
( relation(sK80)
& ~ subset(relation_dom(relation_rng_restriction(sK79,sK80)),relation_dom(sK80)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK79,sK80]),skolemize(X0,sK79),skolemize(X1,sK80)],[f436]) ).
fof(f1116,plain,
! [X0,X1] :
( ~ relation(X1)
| relation(relation_rng_restriction(X0,X1)) ),
inference(cnf_transformation,[],[f395]) ).
fof(f1187,plain,
relation(sK80),
inference(cnf_transformation,[],[f747]) ).
fof(f1188,plain,
~ subset(relation_dom(relation_rng_restriction(sK79,sK80)),relation_dom(sK80)),
inference(cnf_transformation,[],[f747]) ).
fof(f1275,plain,
! [X0,X1] :
( ~ relation(X1)
| subset(relation_rng_restriction(X0,X1),X1) ),
inference(cnf_transformation,[],[f462]) ).
fof(f1327,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ relation(X1)
| ~ subset(X0,X1)
| subset(relation_dom(X0),relation_dom(X1)) ),
inference(cnf_transformation,[],[f513]) ).
tcf(c_317,plain,
! [X0: $i,X1: $i] :
( relation(relation_rng_restriction(X1,X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f1116]) ).
tcf(c_388,negated_conjecture,
~ subset(relation_dom(relation_rng_restriction(sK79,sK80)),relation_dom(sK80)),
inference(cnf_transformation,[],[f1188]) ).
tcf(c_389,negated_conjecture,
relation(sK80),
inference(cnf_transformation,[],[f1187]) ).
tcf(c_476,plain,
! [X0: $i,X1: $i] :
( subset(relation_rng_restriction(X1,X0),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f1275]) ).
tcf(c_527,plain,
! [X0: $i,X1: $i] :
( subset(relation_dom(X0),relation_dom(X1))
| ~ relation(X1)
| ~ relation(X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f1327]) ).
tcf(c_866,plain,
( ~ relation(sK80)
| ~ relation(relation_rng_restriction(sK79,sK80))
| ~ subset(relation_rng_restriction(sK79,sK80),sK80) ),
inference(superposition,[status(thm)],[c_527,c_388]) ).
tcf(c_1208,plain,
( ~ relation(sK80)
| ~ relation(relation_rng_restriction(sK79,sK80))
| ~ subset(relation_rng_restriction(sK79,sK80),sK80) ),
inference(superposition,[status(thm)],[c_527,c_388]) ).
tcf(c_1253,plain,
( ~ subset(relation_rng_restriction(sK79,sK80),sK80)
| ~ relation(relation_rng_restriction(sK79,sK80)) ),
inference(global_subsumption_just,[status(thm)],[c_866,c_389,c_866]) ).
tcf(c_1254,plain,
( ~ relation(relation_rng_restriction(sK79,sK80))
| ~ subset(relation_rng_restriction(sK79,sK80),sK80) ),
inference(renaming,[status(thm)],[c_1253]) ).
tcf(c_1259,plain,
( ~ relation(sK80)
| ~ relation(relation_rng_restriction(sK79,sK80)) ),
inference(superposition,[status(thm)],[c_476,c_1254]) ).
tcf(c_1812,plain,
~ relation(relation_rng_restriction(sK79,sK80)),
inference(global_subsumption_just,[status(thm)],[c_1208,c_389,c_1259]) ).
tcf(c_1814,plain,
~ relation(sK80),
inference(superposition,[status(thm)],[c_317,c_1812]) ).
tcf(c_1815,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_389,c_1814]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU248+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n014.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Thu Sep 24 13:23:48 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.43 % Proving...
% 3.28/1.20 % SZS status Started for theBenchmark.p
% 3.28/1.20 % SZS status Theorem for theBenchmark.p
% 3.28/1.20
% 3.28/1.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.28/1.20
% 3.28/1.20 % ------ iProver source info
% 3.28/1.20
% 3.28/1.20 % git: date: 2026-07-19 20:42:38 +0200
% 3.28/1.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.28/1.20 % git: non_committed_changes: false
% 3.28/1.20
% 3.28/1.20 % ------ Parsing...
% 3.28/1.20 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.28/1.20 % ------ Proving...
% 3.28/1.20 % ------ Problem Properties
% 3.28/1.20
% 3.28/1.20 %
% 3.28/1.20 % clauses 623
% 3.28/1.20 % conjectures 2
% 3.28/1.20 % EPR 108
% 3.28/1.20 % Horn 496
% 3.28/1.20 % unary 104
% 3.28/1.20 % binary 150
% 3.28/1.20 % lits 1821
% 3.28/1.20 % lits eq 273
% 3.28/1.20 % fd_pure 0
% 3.28/1.20 % fd_pseudo 0
% 3.28/1.20 % fd_cond 21
% 3.28/1.20 % fd_pseudo_cond 98
% 3.28/1.20 % AC symbols 0
% 3.28/1.20
% 3.28/1.20 % ------ Input Options Time Limit: Unbounded
% 3.28/1.20
% 3.28/1.20
% 3.28/1.20 % ------
% 3.28/1.20 % Current options:
% 3.28/1.20 % ------
% 3.28/1.20
% 3.28/1.20
% 3.28/1.20 %
% 3.28/1.20
% 3.28/1.20 % ------ Proving...
% 3.28/1.20 %
% 3.28/1.20
% 3.28/1.20 % SZS status Theorem for theBenchmark.p
% 3.28/1.20
% 3.28/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.28/1.20
% 3.28/1.20
%------------------------------------------------------------------------------