%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU200+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 : n010.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 02:55:52 PM UTC 2026
% Result : Theorem 4.65s 1.35s
% Output : CNFRefutation 4.65s
% 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(f61,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f114,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng_restriction(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t117_relat_1) ).
fof(f115,conjecture,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t118_relat_1) ).
fof(f116,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ),
inference(negated_conjecture,[status(cth)],[f115]) ).
fof(f129,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/sandbox2/benchmark/theBenchmark.p',t25_relat_1) ).
fof(f237,plain,
! [X0,X1] :
( ~ relation(X1)
| relation(relation_rng_restriction(X0,X1)) ),
inference(ennf_transformation,[],[f61]) ).
fof(f276,plain,
! [X0,X1] :
( ~ relation(X1)
| subset(relation_rng_restriction(X0,X1),X1) ),
inference(ennf_transformation,[],[f114]) ).
fof(f277,plain,
? [X0,X1] :
( relation(X1)
& ~ subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ),
inference(ennf_transformation,[],[f116]) ).
fof(f292,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,[],[f129]) ).
fof(f293,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,[],[f292]) ).
fof(f450,plain,
( relation(sK54)
& ~ subset(relation_rng(relation_rng_restriction(sK53,sK54)),relation_rng(sK54)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54]),skolemize(X0,sK53),skolemize(X1,sK54)],[f277]) ).
fof(f613,plain,
! [X0,X1] :
( ~ relation(X1)
| relation(relation_rng_restriction(X0,X1)) ),
inference(cnf_transformation,[],[f237]) ).
fof(f685,plain,
! [X0,X1] :
( ~ relation(X1)
| subset(relation_rng_restriction(X0,X1),X1) ),
inference(cnf_transformation,[],[f276]) ).
fof(f686,plain,
relation(sK54),
inference(cnf_transformation,[],[f450]) ).
fof(f687,plain,
~ subset(relation_rng(relation_rng_restriction(sK53,sK54)),relation_rng(sK54)),
inference(cnf_transformation,[],[f450]) ).
fof(f704,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ relation(X1)
| ~ subset(X0,X1)
| subset(relation_rng(X0),relation_rng(X1)) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_188,plain,
! [X0: $i,X1: $i] :
( relation(relation_rng_restriction(X1,X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f613]) ).
tcf(c_260,plain,
! [X0: $i,X1: $i] :
( subset(relation_rng_restriction(X1,X0),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f685]) ).
tcf(c_261,negated_conjecture,
~ subset(relation_rng(relation_rng_restriction(sK53,sK54)),relation_rng(sK54)),
inference(cnf_transformation,[],[f687]) ).
tcf(c_262,negated_conjecture,
relation(sK54),
inference(cnf_transformation,[],[f686]) ).
tcf(c_280,plain,
! [X0: $i,X1: $i] :
( subset(relation_rng(X0),relation_rng(X1))
| ~ relation(X1)
| ~ relation(X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f704]) ).
tcf(c_558,plain,
( ~ relation(sK54)
| ~ relation(relation_rng_restriction(sK53,sK54))
| ~ subset(relation_rng_restriction(sK53,sK54),sK54) ),
inference(superposition,[status(thm)],[c_280,c_261]) ).
tcf(c_902,plain,
( ~ relation(sK54)
| ~ relation(relation_rng_restriction(sK53,sK54))
| ~ subset(relation_rng_restriction(sK53,sK54),sK54) ),
inference(superposition,[status(thm)],[c_280,c_261]) ).
tcf(c_916,plain,
( ~ subset(relation_rng_restriction(sK53,sK54),sK54)
| ~ relation(relation_rng_restriction(sK53,sK54)) ),
inference(global_subsumption_just,[status(thm)],[c_558,c_262,c_558]) ).
tcf(c_917,plain,
( ~ relation(relation_rng_restriction(sK53,sK54))
| ~ subset(relation_rng_restriction(sK53,sK54),sK54) ),
inference(renaming,[status(thm)],[c_916]) ).
tcf(c_922,plain,
( ~ relation(sK54)
| ~ relation(relation_rng_restriction(sK53,sK54)) ),
inference(superposition,[status(thm)],[c_260,c_917]) ).
tcf(c_1469,plain,
~ relation(relation_rng_restriction(sK53,sK54)),
inference(global_subsumption_just,[status(thm)],[c_902,c_262,c_922]) ).
tcf(c_1471,plain,
~ relation(sK54),
inference(superposition,[status(thm)],[c_188,c_1469]) ).
tcf(c_1472,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_262,c_1471]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU200+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.43 % Computer : n010.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.44 % DateTime : Thu Sep 24 13:09:28 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.24/0.50 Running first-order theorem proving
% 0.24/0.50 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
% 0.24/0.52
% 0.24/0.52 % ======== iProver multi-core TPTP/SMT =========
% 0.24/0.52
% 0.24/0.52 % Detected problem language: tptp
% 0.24/0.53 % Proving...
% 4.65/1.35 % SZS status Started for theBenchmark.p
% 4.65/1.35 % SZS status Theorem for theBenchmark.p
% 4.65/1.35
% 4.65/1.35 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.65/1.35
% 4.65/1.35 % ------ iProver source info
% 4.65/1.35
% 4.65/1.35 % git: date: 2026-07-19 20:42:38 +0200
% 4.65/1.35 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.65/1.35 % git: non_committed_changes: false
% 4.65/1.35
% 4.65/1.35 % ------ Parsing...
% 4.65/1.35 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.65/1.35 % ------ Proving...
% 4.65/1.35 % ------ Problem Properties
% 4.65/1.35
% 4.65/1.35 %
% 4.65/1.35 % clauses 323
% 4.65/1.35 % conjectures 2
% 4.65/1.35 % EPR 37
% 4.65/1.35 % Horn 261
% 4.65/1.35 % unary 59
% 4.65/1.35 % binary 107
% 4.65/1.35 % lits 837
% 4.65/1.35 % lits eq 162
% 4.65/1.35 % fd_pure 0
% 4.65/1.35 % fd_pseudo 0
% 4.65/1.35 % fd_cond 13
% 4.65/1.35 % fd_pseudo_cond 63
% 4.65/1.35 % AC symbols 0
% 4.65/1.35
% 4.65/1.35 % ------ Input Options Time Limit: Unbounded
% 4.65/1.35
% 4.65/1.35
% 4.65/1.35 % ------
% 4.65/1.35 % Current options:
% 4.65/1.35 % ------
% 4.65/1.35
% 4.65/1.35
% 4.65/1.35 %
% 4.65/1.35
% 4.65/1.35 % ------ Proving...
% 4.65/1.35 %
% 4.65/1.35
% 4.65/1.35 % SZS status Theorem for theBenchmark.p
% 4.65/1.35
% 4.65/1.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.65/1.35
% 4.65/1.35
%------------------------------------------------------------------------------