%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU250+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 : n009.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 16.77s 3.79s
% Output : CNFRefutation 16.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 31 ( 3 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 97 ( 39 ~; 38 |; 13 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 52 ( 0 sgn 48 !; 4 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
fof(f41,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f209,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_field(relation_restriction(X2,X1)))
=> ( in(X0,X1)
& in(X0,relation_field(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_wellord1) ).
fof(f216,conjecture,
! [X0,X1] :
( relation(X1)
=> ( subset(relation_field(relation_restriction(X1,X0)),X0)
& subset(relation_field(relation_restriction(X1,X0)),relation_field(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_wellord1) ).
fof(f217,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> ( subset(relation_field(relation_restriction(X1,X0)),X0)
& subset(relation_field(relation_restriction(X1,X0)),relation_field(X1)) ) ),
inference(negated_conjecture,[status(cth)],[f216]) ).
fof(f372,plain,
! [X0,X1,X2] :
( ~ relation(X2)
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| ( in(X0,X1)
& in(X0,relation_field(X2)) ) ),
inference(ennf_transformation,[],[f209]) ).
fof(f373,plain,
! [X0,X1,X2] :
( ~ relation(X2)
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| ( in(X0,X1)
& in(X0,relation_field(X2)) ) ),
inference(flattening,[],[f372]) ).
fof(f380,plain,
? [X0,X1] :
( relation(X1)
& ( ~ subset(relation_field(relation_restriction(X1,X0)),X0)
| ~ subset(relation_field(relation_restriction(X1,X0)),relation_field(X1)) ) ),
inference(ennf_transformation,[],[f217]) ).
fof(f498,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f640,plain,
( relation(sK14)
& ( ~ subset(relation_field(relation_restriction(sK14,sK13)),sK13)
| ~ subset(relation_field(relation_restriction(sK14,sK13)),relation_field(sK14)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X0,sK13),skolemize(X1,sK14)],[f380]) ).
fof(f722,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) )
& ( ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) )
| subset(X0,X1) ) ),
inference(nnf_transformation,[],[f498]) ).
fof(f723,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) ) )
& ( ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) )
| subset(X0,X1) ) ),
inference(rectify,[],[f722]) ).
fof(f724,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) ) )
& ( ( in(sK47(X0,X1),X0)
& ~ in(sK47(X0,X1),X1) )
| subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47]),skolemize(X2,sK47(X0,X1))],[f723]) ).
fof(f919,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| in(X0,X1) ),
inference(cnf_transformation,[],[f373]) ).
fof(f920,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| in(X0,relation_field(X2)) ),
inference(cnf_transformation,[],[f373]) ).
fof(f926,plain,
relation(sK14),
inference(cnf_transformation,[],[f640]) ).
fof(f927,plain,
( ~ subset(relation_field(relation_restriction(sK14,sK13)),sK13)
| ~ subset(relation_field(relation_restriction(sK14,sK13)),relation_field(sK14)) ),
inference(cnf_transformation,[],[f640]) ).
fof(f1138,plain,
! [X0,X1] :
( in(sK47(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f724]) ).
fof(f1139,plain,
! [X0,X1] :
( ~ in(sK47(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f724]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,relation_field(X1))
| ~ relation(X1)
| ~ in(X0,relation_field(relation_restriction(X1,X2))) ),
inference(cnf_transformation,[],[f920]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,X2)
| ~ relation(X1)
| ~ in(X0,relation_field(relation_restriction(X1,X2))) ),
inference(cnf_transformation,[],[f919]) ).
tcf(c_140,negated_conjecture,
( ~ subset(relation_field(relation_restriction(sK14,sK13)),sK13)
| ~ subset(relation_field(relation_restriction(sK14,sK13)),relation_field(sK14)) ),
inference(cnf_transformation,[],[f927]) ).
tcf(c_141,negated_conjecture,
relation(sK14),
inference(cnf_transformation,[],[f926]) ).
tcf(c_349,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ in(sK47(X0,X1),X1) ),
inference(cnf_transformation,[],[f1139]) ).
tcf(c_350,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK47(X0,X1),X0) ),
inference(cnf_transformation,[],[f1138]) ).
tcf(c_38476,plain,
( subset(relation_field(relation_restriction(sK14,sK13)),sK13)
| ~ in(sK47(relation_field(relation_restriction(sK14,sK13)),sK13),sK13) ),
inference(instantiation,[status(thm)],[c_349]) ).
tcf(c_38479,plain,
( subset(relation_field(relation_restriction(sK14,sK13)),sK13)
| in(sK47(relation_field(relation_restriction(sK14,sK13)),sK13),relation_field(relation_restriction(sK14,sK13))) ),
inference(instantiation,[status(thm)],[c_350]) ).
tcf(c_46034,plain,
( subset(relation_field(relation_restriction(sK14,sK13)),relation_field(sK14))
| in(sK47(relation_field(relation_restriction(sK14,sK13)),relation_field(sK14)),relation_field(relation_restriction(sK14,sK13))) ),
inference(instantiation,[status(thm)],[c_350]) ).
tcf(c_46035,plain,
( subset(relation_field(relation_restriction(sK14,sK13)),relation_field(sK14))
| ~ in(sK47(relation_field(relation_restriction(sK14,sK13)),relation_field(sK14)),relation_field(sK14)) ),
inference(instantiation,[status(thm)],[c_349]) ).
tcf(c_59155,plain,
( in(sK47(relation_field(relation_restriction(sK14,sK13)),relation_field(sK14)),relation_field(sK14))
| ~ relation(sK14)
| ~ in(sK47(relation_field(relation_restriction(sK14,sK13)),relation_field(sK14)),relation_field(relation_restriction(sK14,sK13))) ),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_61392,plain,
( in(sK47(relation_field(relation_restriction(sK14,sK13)),sK13),sK13)
| ~ relation(sK14)
| ~ in(sK47(relation_field(relation_restriction(sK14,sK13)),sK13),relation_field(relation_restriction(sK14,sK13))) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_61394,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_61392,c_59155,c_46034,c_46035,c_38479,c_38476,c_140,c_141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU250+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 13:24:28 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 16.77/3.79 % SZS status Started for theBenchmark.p
% 16.77/3.79 % SZS status Theorem for theBenchmark.p
% 16.77/3.79
% 16.77/3.79 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 16.77/3.79
% 16.77/3.79 % ------ iProver source info
% 16.77/3.79
% 16.77/3.79 % git: date: 2026-07-19 20:42:38 +0200
% 16.77/3.79 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 16.77/3.79 % git: non_committed_changes: false
% 16.77/3.79
% 16.77/3.79 % ------ Parsing...
% 16.77/3.79 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 16.77/3.79
% 16.77/3.79 % ------ Preprocessing... sup_sim: 56 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 16.77/3.79
% 16.77/3.79 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 16.77/3.79
% 16.77/3.79 % ------ Preprocessing... sf_s rm: 3 0s sf_e sf_s rm: 0 0s sf_e
% 16.77/3.79 % ------ Proving...
% 16.77/3.79 % ------ Problem Properties
% 16.77/3.79
% 16.77/3.79 %
% 16.77/3.79 % clauses 521
% 16.77/3.79 % conjectures 2
% 16.77/3.79 % EPR 76
% 16.77/3.79 % Horn 405
% 16.77/3.79 % unary 69
% 16.77/3.79 % binary 144
% 16.77/3.79 % lits 1524
% 16.77/3.79 % lits eq 233
% 16.77/3.79 % fd_pure 0
% 16.77/3.79 % fd_pseudo 0
% 16.77/3.79 % fd_cond 18
% 16.77/3.79 % fd_pseudo_cond 89
% 16.77/3.79 % AC symbols 0
% 16.77/3.79
% 16.77/3.79 % ------ Schedule dynamic 5 is on
% 16.77/3.79
% 16.77/3.79 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 16.77/3.79
% 16.77/3.79
% 16.77/3.79 % ------
% 16.77/3.79 % Current options:
% 16.77/3.79 % ------
% 16.77/3.79
% 16.77/3.79
% 16.77/3.79 %
% 16.77/3.79
% 16.77/3.79 % ------ Proving...
% 16.77/3.79 %
% 16.77/3.79
% 16.77/3.79 % SZS status Theorem for theBenchmark.p
% 16.77/3.79
% 16.77/3.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 16.77/3.79
% 16.77/3.79
%------------------------------------------------------------------------------