%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU190+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 : Tue Sep 29 12:47:39 PM UTC 2026
% Result : Theorem 4.67s 1.56s
% Output : Refutation 5.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 17
% Syntax : Number of formulae : 137 ( 25 unt; 7 def)
% Number of atoms : 453 ( 103 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 528 ( 212 ~; 235 |; 56 &)
% ( 19 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 4 con; 0-2 aty)
% Number of variables : 235 ( 0 sgn 210 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( relation(X1)
=> ( X1 = identity_relation(X0)
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X1)
<=> ( in(X2,X0)
& X2 = X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_relat_1) ).
fof(f8,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f18,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f20,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f24,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f26,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f52,axiom,
! [X0] : relation(identity_relation(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relat_1) ).
fof(f113,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(ordered_pair(X0,X1),X2)
=> ( in(X0,relation_dom(X2))
& in(X1,relation_rng(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_relat_1) ).
fof(f161,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f164,conjecture,
! [X0] :
( relation_dom(identity_relation(X0)) = X0
& relation_rng(identity_relation(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t71_relat_1) ).
fof(f165,negated_conjecture,
~ ! [X0] :
( relation_dom(identity_relation(X0)) = X0
& relation_rng(identity_relation(X0)) = X0 ),
inference(negated_conjecture,[status(cth)],[f164]) ).
fof(f190,plain,
! [X0,X1] :
( ( X1 = identity_relation(X0)
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X1)
<=> ( in(X2,X0)
& X2 = X3 ) ) )
| ~ relation(X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f194,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f254,plain,
! [X0,X1,X2] :
( ( in(X0,relation_dom(X2))
& in(X1,relation_rng(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f113]) ).
fof(f255,plain,
! [X0,X1,X2] :
( ( in(X0,relation_dom(X2))
& in(X1,relation_rng(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(flattening,[],[f254]) ).
fof(f304,plain,
? [X0] :
( relation_dom(identity_relation(X0)) != X0
| relation_rng(identity_relation(X0)) != X0 ),
inference(ennf_transformation,[],[f165]) ).
fof(f314,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| ? [X2,X3] :
( ( ~ in(X2,X0)
| X2 != X3
| ~ in(ordered_pair(X2,X3),X1) )
& ( ( in(X2,X0)
& X2 = X3 )
| in(ordered_pair(X2,X3),X1) ) ) )
& ( ! [X2,X3] :
( ( in(ordered_pair(X2,X3),X1)
| ~ in(X2,X0)
| X2 != X3 )
& ( ( in(X2,X0)
& X2 = X3 )
| ~ in(ordered_pair(X2,X3),X1) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1) ),
inference(nnf_transformation,[],[f190]) ).
fof(f315,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| ? [X2,X3] :
( ( ~ in(X2,X0)
| X2 != X3
| ~ in(ordered_pair(X2,X3),X1) )
& ( ( in(X2,X0)
& X2 = X3 )
| in(ordered_pair(X2,X3),X1) ) ) )
& ( ! [X2,X3] :
( ( in(ordered_pair(X2,X3),X1)
| ~ in(X2,X0)
| X2 != X3 )
& ( ( in(X2,X0)
& X2 = X3 )
| ~ in(ordered_pair(X2,X3),X1) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1) ),
inference(flattening,[],[f314]) ).
fof(f316,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| ? [X2,X3] :
( ( ~ in(X2,X0)
| X2 != X3
| ~ in(ordered_pair(X2,X3),X1) )
& ( ( in(X2,X0)
& X2 = X3 )
| in(ordered_pair(X2,X3),X1) ) ) )
& ( ! [X4,X5] :
( ( in(ordered_pair(X4,X5),X1)
| ~ in(X4,X0)
| X4 != X5 )
& ( ( in(X4,X0)
& X4 = X5 )
| ~ in(ordered_pair(X4,X5),X1) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1) ),
inference(rectify,[],[f315]) ).
fof(f317,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| ( ( ~ in(sK0(X0,X1),X0)
| sK0(X0,X1) != sK1(X0,X1)
| ~ in(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X1) )
& ( ( in(sK0(X0,X1),X0)
& sK0(X0,X1) = sK1(X0,X1) )
| in(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X1) ) ) )
& ( ! [X4,X5] :
( ( in(ordered_pair(X4,X5),X1)
| ~ in(X4,X0)
| X4 != X5 )
& ( ( in(X4,X0)
& X4 = X5 )
| ~ in(ordered_pair(X4,X5),X1) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0(X0,X1)),skolemize(X3,sK1(X0,X1))],[f316]) ).
fof(f318,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f319,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f318]) ).
fof(f347,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f194]) ).
fof(f348,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f347]) ).
fof(f349,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK18(X0,X1),X1)
& in(sK18(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X2,sK18(X0,X1))],[f348]) ).
fof(f354,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f195]) ).
fof(f355,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f354]) ).
fof(f356,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ( ( ! [X3] : ~ in(ordered_pair(sK20(X0,X1),X3),X0)
| ~ in(sK20(X0,X1),X1) )
& ( in(ordered_pair(sK20(X0,X1),sK21(X0,X1)),X0)
| in(sK20(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK22(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22]),skolemize(X2,sK20(X0,X1)),skolemize(X4,sK21(X0,X1)),skolemize(X7,sK22(X0,X5))],[f355]) ).
fof(f364,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f196]) ).
fof(f365,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( ? [X7] : in(ordered_pair(X7,X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f364]) ).
fof(f366,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK27(X0,X1)),X0)
| ~ in(sK27(X0,X1),X1) )
& ( in(ordered_pair(sK28(X0,X1),sK27(X0,X1)),X0)
| in(sK27(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK29(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27,sK28,sK29]),skolemize(X2,sK27(X0,X1)),skolemize(X4,sK28(X0,X1)),skolemize(X7,sK29(X0,X5))],[f365]) ).
fof(f410,plain,
( sK51 != relation_dom(identity_relation(sK51))
| sK51 != relation_rng(identity_relation(sK51)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK51]),skolemize(X0,sK51)],[f304]) ).
fof(f419,plain,
! [X0,X1,X4,X5] :
( X4 = X5
| ~ in(ordered_pair(X4,X5),X1)
| identity_relation(X0) != X1
| ~ relation(X1) ),
inference(cnf_transformation,[],[f317]) ).
fof(f420,plain,
! [X0,X1,X4,X5] :
( in(X4,X0)
| ~ in(ordered_pair(X4,X5),X1)
| identity_relation(X0) != X1
| ~ relation(X1) ),
inference(cnf_transformation,[],[f317]) ).
fof(f421,plain,
! [X0,X1,X4,X5] :
( in(ordered_pair(X4,X5),X1)
| ~ in(X4,X0)
| X4 != X5
| identity_relation(X0) != X1
| ~ relation(X1) ),
inference(cnf_transformation,[],[f317]) ).
fof(f427,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f319]) ).
fof(f474,plain,
! [X0,X1] :
( in(sK18(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f349]) ).
fof(f475,plain,
! [X0,X1] :
( ~ in(sK18(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f349]) ).
fof(f482,plain,
! [X0,X1,X5] :
( in(ordered_pair(X5,sK22(X0,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f356]) ).
fof(f499,plain,
! [X0,X1,X5] :
( in(ordered_pair(sK29(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f366]) ).
fof(f504,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f26]) ).
fof(f529,plain,
! [X0] : relation(identity_relation(X0)),
inference(cnf_transformation,[],[f52]) ).
fof(f608,plain,
! [X2,X0,X1] :
( in(X1,relation_rng(X2))
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f255]) ).
fof(f609,plain,
! [X2,X0,X1] :
( in(X0,relation_dom(X2))
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f255]) ).
fof(f677,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f161]) ).
fof(f680,plain,
( sK51 != relation_dom(identity_relation(sK51))
| sK51 != relation_rng(identity_relation(sK51)) ),
inference(cnf_transformation,[],[f410]) ).
fof(f695,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f504,f677]) ).
fof(f700,plain,
! [X0,X1,X4,X5] :
( in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X1)
| ~ in(X4,X0)
| X4 != X5
| identity_relation(X0) != X1
| ~ relation(X1) ),
inference(definition_unfolding,[],[f421,f695]) ).
fof(f701,plain,
! [X0,X1,X4,X5] :
( in(X4,X0)
| ~ in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X1)
| identity_relation(X0) != X1
| ~ relation(X1) ),
inference(definition_unfolding,[],[f420,f695]) ).
fof(f702,plain,
! [X0,X1,X4,X5] :
( X4 = X5
| ~ in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),X1)
| identity_relation(X0) != X1
| ~ relation(X1) ),
inference(definition_unfolding,[],[f419,f695]) ).
fof(f722,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(X5,sK22(X0,X5)),unordered_pair(X5,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f482,f695]) ).
fof(f726,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(sK29(X0,X5),X5),unordered_pair(sK29(X0,X5),sK29(X0,X5))),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f499,f695]) ).
fof(f761,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| in(X0,relation_dom(X2))
| ~ relation(X2) ),
inference(definition_unfolding,[],[f609,f695]) ).
fof(f762,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| in(X1,relation_rng(X2))
| ~ relation(X2) ),
inference(definition_unfolding,[],[f608,f695]) ).
fof(f784,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,X5)),X1)
| ~ in(X5,X0)
| identity_relation(X0) != X1
| ~ relation(X1) ),
inference(equality_resolution,[],[f700]) ).
fof(f785,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,X5)),identity_relation(X0))
| ~ in(X5,X0)
| ~ relation(identity_relation(X0)) ),
inference(equality_resolution,[],[f784]) ).
fof(f786,plain,
! [X0,X4,X5] :
( in(X4,X0)
| ~ in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),identity_relation(X0))
| ~ relation(identity_relation(X0)) ),
inference(equality_resolution,[],[f701]) ).
fof(f787,plain,
! [X0,X4,X5] :
( X4 = X5
| ~ in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),identity_relation(X0))
| ~ relation(identity_relation(X0)) ),
inference(equality_resolution,[],[f702]) ).
fof(f820,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(X5,sK22(X0,X5)),unordered_pair(X5,X5)),X0)
| ~ in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f722]) ).
fof(f828,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(sK29(X0,X5),X5),unordered_pair(sK29(X0,X5),sK29(X0,X5))),X0)
| ~ in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f726]) ).
fof(f840,definition,
sF54 = identity_relation(sK51),
introduced(definition,[new_symbols(definition,[sF54])],[function_definition]) ).
fof(f841,plain,
identity_relation(sK51) = sF54,
inference(reorient_equations,[],[f840]) ).
fof(f842,definition,
sF55 = relation_dom(sF54),
introduced(definition,[new_symbols(definition,[sF55])],[function_definition]) ).
fof(f843,plain,
relation_dom(sF54) = sF55,
inference(reorient_equations,[],[f842]) ).
fof(f844,definition,
sF56 = relation_rng(sF54),
introduced(definition,[new_symbols(definition,[sF56])],[function_definition]) ).
fof(f845,plain,
relation_rng(sF54) = sF56,
inference(reorient_equations,[],[f844]) ).
fof(f846,plain,
( sK51 != sF55
| sK51 != sF56 ),
inference(definition_folding,[],[f680,f845,f841,f843,f841]) ).
fof(f848,definition,
( spl57_1
<=> sK51 = sF56 ),
introduced(definition,[new_symbols(definition,[spl57_1])],[avatar_definition]) ).
fof(f850,plain,
( sK51 != sF56
| spl57_1 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f852,definition,
( spl57_2
<=> sK51 = sF55 ),
introduced(definition,[new_symbols(definition,[spl57_2])],[avatar_definition]) ).
fof(f853,plain,
( sK51 = sF55
| ~ spl57_2 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f855,plain,
( ~ spl57_1
| ~ spl57_2 ),
inference(avatar_split_clause,[],[f846,f852,f848]) ).
fof(f864,plain,
! [X0,X4,X5] :
( ~ in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),identity_relation(X0))
| X4 = X5 ),
inference(forward_subsumption_resolution,[],[f787,f529]) ).
fof(f865,plain,
! [X0,X4,X5] :
( ~ in(unordered_pair(unordered_pair(X4,X5),unordered_pair(X4,X4)),identity_relation(X0))
| in(X4,X0) ),
inference(forward_subsumption_resolution,[],[f786,f529]) ).
fof(f866,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,X5)),identity_relation(X0))
| ~ in(X5,X0) ),
inference(forward_subsumption_resolution,[],[f785,f529]) ).
fof(f868,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sF54)
| X0 = X1 ),
inference(superposition,[],[f864,f841]) ).
fof(f869,plain,
relation(sF54),
inference(superposition,[],[f529,f841]) ).
fof(f870,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sF54)
| in(X0,sK51) ),
inference(superposition,[],[f865,f841]) ).
fof(f873,plain,
! [X0] :
( in(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,X0)),sF54)
| ~ in(X0,sK51) ),
inference(superposition,[],[f866,f841]) ).
fof(f876,plain,
! [X0] :
( in(X0,relation_dom(sF54))
| ~ relation(sF54)
| ~ in(X0,sK51) ),
inference(resolution,[],[f761,f873]) ).
fof(f877,plain,
! [X0] :
( in(X0,relation_dom(sF54))
| ~ in(X0,sK51) ),
inference(forward_subsumption_resolution,[],[f876,f869]) ).
fof(f879,plain,
! [X0] :
( ~ in(X0,sK51)
| in(X0,sF55) ),
inference(forward_demodulation,[],[f877,f843]) ).
fof(f915,plain,
! [X0] :
( in(X0,sK51)
| ~ in(X0,relation_dom(sF54))
| ~ relation(sF54) ),
inference(resolution,[],[f870,f820]) ).
fof(f916,plain,
! [X0] :
( in(X0,sK51)
| ~ in(X0,relation_dom(sF54)) ),
inference(forward_subsumption_resolution,[],[f915,f869]) ).
fof(f917,plain,
! [X0] :
( ~ in(X0,sF55)
| in(X0,sK51) ),
inference(forward_demodulation,[],[f916,f843]) ).
fof(f954,plain,
! [X0] :
( in(X0,relation_rng(sF54))
| ~ relation(sF54)
| ~ in(X0,sK51) ),
inference(resolution,[],[f762,f873]) ).
fof(f962,plain,
! [X0] :
( in(X0,relation_rng(sF54))
| ~ in(X0,sK51) ),
inference(forward_subsumption_resolution,[],[f954,f869]) ).
fof(f964,plain,
! [X0] :
( ~ in(X0,sK51)
| in(X0,sF56) ),
inference(forward_demodulation,[],[f962,f845]) ).
fof(f973,plain,
! [X0] :
( ~ in(X0,relation_rng(sF54))
| ~ relation(sF54)
| sK29(sF54,X0) = X0 ),
inference(resolution,[],[f828,f868]) ).
fof(f975,plain,
! [X0,X1] :
( ~ in(X0,relation_rng(X1))
| ~ relation(X1)
| in(sK29(X1,X0),relation_dom(X1))
| ~ relation(X1) ),
inference(resolution,[],[f828,f761]) ).
fof(f983,plain,
! [X0,X1] :
( in(sK29(X1,X0),relation_dom(X1))
| ~ relation(X1)
| ~ in(X0,relation_rng(X1)) ),
inference(duplicate_literal_removal,[],[f975]) ).
fof(f985,plain,
! [X0] :
( ~ in(X0,relation_rng(sF54))
| sK29(sF54,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f973,f869]) ).
fof(f989,plain,
! [X0] :
( ~ in(X0,sF56)
| sK29(sF54,X0) = X0 ),
inference(forward_demodulation,[],[f985,f845]) ).
fof(f1133,plain,
! [X0] :
( in(sK18(sK51,X0),sF56)
| subset(sK51,X0) ),
inference(resolution,[],[f474,f964]) ).
fof(f1134,plain,
! [X0] :
( in(sK18(sK51,X0),sF55)
| subset(sK51,X0) ),
inference(resolution,[],[f474,f879]) ).
fof(f1135,plain,
! [X0] :
( in(sK18(sF55,X0),sK51)
| subset(sF55,X0) ),
inference(resolution,[],[f474,f917]) ).
fof(f1137,plain,
! [X0] :
( subset(sF56,X0)
| sK18(sF56,X0) = sK29(sF54,sK18(sF56,X0)) ),
inference(resolution,[],[f474,f989]) ).
fof(f1169,plain,
( subset(sF55,sK51)
| subset(sF55,sK51) ),
inference(resolution,[],[f475,f1135]) ).
fof(f1170,plain,
( subset(sK51,sF55)
| subset(sK51,sF55) ),
inference(resolution,[],[f475,f1134]) ).
fof(f1171,plain,
( subset(sK51,sF56)
| subset(sK51,sF56) ),
inference(resolution,[],[f475,f1133]) ).
fof(f1176,plain,
subset(sK51,sF56),
inference(duplicate_literal_removal,[],[f1171]) ).
fof(f1177,plain,
subset(sK51,sF55),
inference(duplicate_literal_removal,[],[f1170]) ).
fof(f1178,plain,
subset(sF55,sK51),
inference(duplicate_literal_removal,[],[f1169]) ).
fof(f1215,plain,
( ~ subset(sF56,sK51)
| sK51 = sF56 ),
inference(resolution,[],[f427,f1176]) ).
fof(f1216,plain,
( ~ subset(sF55,sK51)
| sK51 = sF55 ),
inference(resolution,[],[f427,f1177]) ).
fof(f1218,plain,
sK51 = sF55,
inference(forward_subsumption_resolution,[],[f1216,f1178]) ).
fof(f1219,plain,
( ~ subset(sF56,sK51)
| spl57_1 ),
inference(forward_subsumption_resolution,[],[f1215,f850]) ).
fof(f1230,plain,
spl57_2,
inference(avatar_split_clause,[],[f1218,f852]) ).
fof(f1250,plain,
( sK18(sF56,sK51) = sK29(sF54,sK18(sF56,sK51))
| spl57_1 ),
inference(resolution,[],[f1219,f1137]) ).
fof(f1255,plain,
( in(sK18(sF56,sK51),relation_dom(sF54))
| ~ relation(sF54)
| ~ in(sK18(sF56,sK51),relation_rng(sF54))
| spl57_1 ),
inference(superposition,[],[f983,f1250]) ).
fof(f1258,plain,
( in(sK18(sF56,sK51),relation_dom(sF54))
| ~ in(sK18(sF56,sK51),relation_rng(sF54))
| spl57_1 ),
inference(forward_subsumption_resolution,[],[f1255,f869]) ).
fof(f1261,definition,
( spl57_12
<=> in(sK18(sF56,sK51),sF56) ),
introduced(definition,[new_symbols(definition,[spl57_12])],[avatar_definition]) ).
fof(f1263,plain,
( ~ in(sK18(sF56,sK51),sF56)
| spl57_12 ),
inference(avatar_component_clause,[],[f1261]) ).
fof(f1265,definition,
( spl57_13
<=> in(sK18(sF56,sK51),sK51) ),
introduced(definition,[new_symbols(definition,[spl57_13])],[avatar_definition]) ).
fof(f1267,plain,
( in(sK18(sF56,sK51),sK51)
| ~ spl57_13 ),
inference(avatar_component_clause,[],[f1265]) ).
fof(f1271,plain,
( in(sK18(sF56,sK51),sF55)
| ~ in(sK18(sF56,sK51),relation_rng(sF54))
| spl57_1 ),
inference(forward_demodulation,[],[f1258,f843]) ).
fof(f1279,plain,
( in(sK18(sF56,sK51),sK51)
| ~ in(sK18(sF56,sK51),relation_rng(sF54))
| spl57_1
| ~ spl57_2 ),
inference(forward_demodulation,[],[f1271,f853]) ).
fof(f1281,plain,
( ~ in(sK18(sF56,sK51),sF56)
| in(sK18(sF56,sK51),sK51)
| spl57_1
| ~ spl57_2 ),
inference(forward_demodulation,[],[f1279,f845]) ).
fof(f1282,plain,
( spl57_13
| ~ spl57_12
| spl57_1
| ~ spl57_2 ),
inference(avatar_split_clause,[],[f1281,f852,f848,f1261,f1265]) ).
fof(f1283,plain,
( subset(sF56,sK51)
| spl57_12 ),
inference(resolution,[],[f1263,f474]) ).
fof(f1284,plain,
( $false
| spl57_1
| spl57_12 ),
inference(forward_subsumption_resolution,[],[f1283,f1219]) ).
fof(f1285,plain,
( spl57_1
| spl57_12 ),
inference(avatar_contradiction_clause,[],[f1284]) ).
fof(f1286,plain,
( subset(sF56,sK51)
| ~ spl57_13 ),
inference(resolution,[],[f1267,f475]) ).
fof(f1295,plain,
( $false
| spl57_1
| ~ spl57_13 ),
inference(forward_subsumption_resolution,[],[f1286,f1219]) ).
fof(f1296,plain,
( spl57_1
| ~ spl57_13 ),
inference(avatar_contradiction_clause,[],[f1295]) ).
cnf(s1,plain,
( ~ spl57_1
| ~ spl57_2 ),
inference(sat_conversion,[],[f855]) ).
cnf(s7,plain,
spl57_2,
inference(sat_conversion,[],[f1230]) ).
cnf(s13,plain,
( spl57_1
| ~ spl57_2
| ~ spl57_12
| spl57_13 ),
inference(sat_conversion,[],[f1282]) ).
cnf(s14,plain,
( spl57_1
| spl57_12 ),
inference(sat_conversion,[],[f1285]) ).
cnf(s15,plain,
( spl57_1
| ~ spl57_13 ),
inference(sat_conversion,[],[f1296]) ).
cnf(s16,plain,
~ spl57_1,
inference(rat,[],[s1,s7]) ).
cnf(s17,plain,
~ spl57_13,
inference(rat,[],[s15,s16]) ).
cnf(s18,plain,
spl57_12,
inference(rat,[],[s14,s16]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s13,s17,s7,s18,s16]) ).
fof(f1297,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU190+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n003.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 28 03:59:57 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.67/1.56 % (1172185)Detected formulas, will run a generic FOF schedule.
% 4.67/1.56 % (1172190)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1512258789:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.67/1.56 % (1172194)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3019304133:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.67/1.56 % (1172192)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3759279480:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.67/1.56 % (1172193)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1136166500:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.67/1.56 % (1172191)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1511582808:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.67/1.56 % (1172195)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1766291882:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.67/1.56 % (1172196)dis-21_1_sil=8000:lcm=predicate:random_seed=1837651349:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.67/1.56 % (1172193)Instruction limit reached!
% 4.67/1.56 % (1172193)------------------------------
% 4.67/1.56 % (1172193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/1.56 % (1172193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.67/1.56 % (1172193)CaDiCaL version: 2.1.3
% 4.67/1.56 % (1172193)Termination reason: Instruction limit
% 4.67/1.56 % (1172193)Termination phase: Saturation
% 4.67/1.56 % (1172193)Time elapsed: 0.073 s
% 4.67/1.56 % (1172193)Peak memory usage: 90 MB
% 4.67/1.56 % (1172193)Instructions burned: 110 (million)
% 4.67/1.56 % (1172194)Instruction limit reached!
% 4.67/1.56 % (1172194)------------------------------
% 4.67/1.56 % (1172194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/1.56 % (1172194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.67/1.56 % (1172194)CaDiCaL version: 2.1.3
% 4.67/1.56 % (1172194)Termination reason: Instruction limit
% 4.67/1.56 % (1172194)Termination phase: Saturation
% 4.67/1.56 % (1172194)Time elapsed: 0.079 s
% 4.67/1.56 % (1172194)Peak memory usage: 89 MB
% 4.67/1.56 % (1172194)Instructions burned: 119 (million)
% 4.67/1.56 % (1172196)Instruction limit reached!
% 4.67/1.56 % (1172196)------------------------------
% 4.67/1.56 % (1172196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/1.56 % (1172196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.67/1.56 % (1172196)CaDiCaL version: 2.1.3
% 4.67/1.56 % (1172196)Termination reason: Instruction limit
% 4.67/1.56 % (1172196)Termination phase: Saturation
% 4.67/1.56 % (1172196)Time elapsed: 0.077 s
% 4.67/1.56 % (1172196)Peak memory usage: 90 MB
% 4.67/1.56 % (1172196)Instructions burned: 130 (million)
% 4.67/1.56 % (1172195)Instruction limit reached!
% 4.67/1.56 % (1172195)------------------------------
% 4.67/1.56 % (1172195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/1.56 % (1172195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.67/1.56 % (1172195)CaDiCaL version: 2.1.3
% 4.67/1.56 % (1172195)Termination reason: Instruction limit
% 4.67/1.56 % (1172195)Termination phase: Saturation
% 4.67/1.56 % (1172195)Time elapsed: 0.099 s
% 4.67/1.56 % (1172195)Peak memory usage: 90 MB
% 4.67/1.56 % (1172195)Instructions burned: 140 (million)
% 4.67/1.56 % (1172205)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1200851997:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.67/1.56 % (1172204)lrs+10_1_sil=8000:sp=occurrence:random_seed=3588188457:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.67/1.56 % (1172207)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=437133708:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.67/1.56 % (1172206)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1641907902:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.67/1.56 % (1172205)Instruction limit reached!
% 4.67/1.56 % (1172205)------------------------------
% 4.67/1.56 % (1172205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/1.56 % (1172205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.67/1.56 % (1172205)CaDiCaL version: 2.1.3
% 4.67/1.56 % (1172205)Termination reason: Instruction limit
% 4.67/1.56 % (1172205)Termination phase: Saturation
% 4.67/1.56 % (1172205)Time elapsed: 0.084 s
% 4.67/1.56 % (1172205)Peak memory usage: 89 MB
% 4.67/1.56 % (1172205)Instructions burned: 159 (million)
% 4.67/1.56 % (1172190)First to succeed.
% 4.67/1.56 % (1172190)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1172185"
% 4.67/1.56 % (1172207)Instruction limit reached!
% 4.67/1.56 % (1172207)------------------------------
% 4.67/1.56 % (1172207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/1.56 % (1172207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.67/1.56 % (1172207)CaDiCaL version: 2.1.3
% 4.67/1.56 % (1172207)Termination reason: Instruction limit
% 4.67/1.56 % (1172207)Termination phase: Saturation
% 4.67/1.56 % (1172207)Time elapsed: 0.144 s
% 4.67/1.56 % (1172207)Peak memory usage: 91 MB
% 4.67/1.56 % (1172207)Instructions burned: 250 (million)
% 4.67/1.56 % (1172204)Instruction limit reached!
% 4.67/1.56 % (1172204)------------------------------
% 4.67/1.56 % (1172204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/1.56 % (1172204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.67/1.56 % (1172204)CaDiCaL version: 2.1.3
% 4.67/1.56 % (1172204)Termination reason: Instruction limit
% 4.67/1.56 % (1172204)Termination phase: Saturation
% 4.67/1.56 % (1172204)Time elapsed: 0.179 s
% 4.67/1.56 % (1172204)Peak memory usage: 92 MB
% 4.67/1.56 % (1172204)Instructions burned: 285 (million)
% 4.67/1.56 % (1172212)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1709144336:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.67/1.56 % (1172206)Instruction limit reached!
% 4.67/1.56 % (1172206)------------------------------
% 4.67/1.56 % (1172206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/1.56 % (1172206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.67/1.56 % (1172206)CaDiCaL version: 2.1.3
% 4.67/1.56 % (1172206)Termination reason: Instruction limit
% 4.67/1.56 % (1172206)Termination phase: Saturation
% 4.67/1.56 % (1172206)Time elapsed: 0.228 s
% 4.67/1.56 % (1172206)Peak memory usage: 92 MB
% 4.67/1.56 % (1172206)Instructions burned: 326 (million)
% 4.67/1.56 % (1172190)Refutation found. Thanks to Tanya!
% 4.67/1.56 % SZS status Theorem for theBenchmark
% 4.67/1.56 % SZS output start Proof for theBenchmark
% See solution above
% 5.59/1.76 % (1172190)------------------------------
% 5.59/1.76 % (1172190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.76 % (1172190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.76 % (1172190)CaDiCaL version: 2.1.3
% 5.59/1.76 % (1172190)Termination reason: Refutation
% 5.59/1.76 % (1172190)Time elapsed: 0.427 s
% 5.59/1.76 % (1172190)Peak memory usage: 133 MB
% 5.59/1.76 % (1172190)Instructions burned: 1093 (million)
% 5.59/1.76 % (1172190)------------------------------
% 5.59/1.76 % (1172190)------------------------------
% 5.59/1.76 % (1172185)Success in time 0.717 s
% 5.59/1.76 % Vampire exiting
%------------------------------------------------------------------------------