%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP021+2 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 11:28:43 AM UTC 2026
% Result : Theorem 3.99s 1.71s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 38
% Syntax : Number of formulae : 271 ( 58 unt; 24 def)
% Number of atoms : 754 ( 74 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 843 ( 360 ~; 414 |; 25 &)
% ( 19 <=>; 22 =>; 0 <=; 3 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 17 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 17 con; 0-2 aty)
% Number of variables : 136 ( 0 sgn 127 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2] :
( mem(X2,arr(X0,X1))
=> ! [X3] :
( mem(X3,X0)
=> mem(ap(X2,X3),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_tp) ).
fof(f5,axiom,
! [X0] :
( mem(X0,bool)
=> ! [X1] :
( mem(X1,bool)
=> ( ( p(X0)
<=> p(X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',boolext) ).
fof(f9,axiom,
mem(c_2Ebool_2ET,bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2ET) ).
fof(f10,axiom,
p(c_2Ebool_2ET),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_true_p) ).
fof(f11,axiom,
ne(ty_2Eextreal_2Eextreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ne_ty_2Eextreal_2Eextreal) ).
fof(f12,axiom,
mem(c_2Eextreal_2Eextreal__le,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Eextreal_2Eextreal__le) ).
fof(f14,axiom,
mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Eextreal_2Eextreal__max) ).
fof(f15,axiom,
mem(c_2Ebool_2EF,bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2EF) ).
fof(f16,axiom,
~ p(c_2Ebool_2EF),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_false_p) ).
fof(f39,axiom,
! [X0] :
( ne(X0)
=> ! [X1] :
( mem(X1,X0)
=> ! [X2] :
( mem(X2,X0)
=> ( ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2ET),X1),X2) = X1
& ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2EF),X1),X2) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebool_2ECOND__CLAUSES) ).
fof(f43,axiom,
! [X0] :
( mem(X0,ty_2Eextreal_2Eextreal)
=> ! [X1] :
( mem(X1,ty_2Eextreal_2Eextreal)
=> ! [X2] :
( mem(X2,ty_2Eextreal_2Eextreal)
=> ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2)) )
=> p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Ele__trans) ).
fof(f44,axiom,
! [X0] :
( mem(X0,ty_2Eextreal_2Eextreal)
=> ! [X1] :
( mem(X1,ty_2Eextreal_2Eextreal)
=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Ele__total) ).
fof(f45,axiom,
! [X0] :
( mem(X0,ty_2Eextreal_2Eextreal)
=> ! [X1] :
( mem(X1,ty_2Eextreal_2Eextreal)
=> ap(ap(c_2Eextreal_2Eextreal__max,X0),X1) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)),X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Eextreal_2Eextreal__max__def) ).
fof(f56,conjecture,
! [X0] :
( mem(X0,ty_2Eextreal_2Eextreal)
=> ! [X1] :
( mem(X1,ty_2Eextreal_2Eextreal)
=> ! [X2] :
( mem(X2,ty_2Eextreal_2Eextreal)
=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0))
<=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Emax__le) ).
fof(f57,negated_conjecture,
~ ! [X0] :
( mem(X0,ty_2Eextreal_2Eextreal)
=> ! [X1] :
( mem(X1,ty_2Eextreal_2Eextreal)
=> ! [X2] :
( mem(X2,ty_2Eextreal_2Eextreal)
=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0))
<=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ! [X3] :
( mem(ap(X2,X3),X1)
| ~ mem(X3,X0) )
| ~ mem(X2,arr(X0,X1)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ( p(X0)
<~> p(X1) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(ennf_transformation,[],[f5]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ( p(X0)
<~> p(X1) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(flattening,[],[f78]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2ET),X1),X2) = X1
& ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2EF),X1),X2) = X2 )
| ~ mem(X2,X0) )
| ~ mem(X1,X0) )
| ~ ne(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
| ~ mem(X2,ty_2Eextreal_2Eextreal) )
| ~ mem(X1,ty_2Eextreal_2Eextreal) )
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(ennf_transformation,[],[f43]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
| ~ mem(X2,ty_2Eextreal_2Eextreal) )
| ~ mem(X1,ty_2Eextreal_2Eextreal) )
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(flattening,[],[f109]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
| ~ mem(X1,ty_2Eextreal_2Eextreal) )
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(ennf_transformation,[],[f44]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
| ~ mem(X1,ty_2Eextreal_2Eextreal) )
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(flattening,[],[f111]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( ap(ap(c_2Eextreal_2Eextreal__max,X0),X1) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)),X1),X0)
| ~ mem(X1,ty_2Eextreal_2Eextreal) )
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(ennf_transformation,[],[f45]) ).
fof(f126,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0))
<~> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0)) ) )
& mem(X2,ty_2Eextreal_2Eextreal) )
& mem(X1,ty_2Eextreal_2Eextreal) )
& mem(X0,ty_2Eextreal_2Eextreal) ),
inference(ennf_transformation,[],[f57]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ( ( ~ p(X1)
| ~ p(X0) )
& ( p(X1)
| p(X0) ) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(nnf_transformation,[],[f79]) ).
fof(f219,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0)) )
& ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0)) )
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0)) )
& mem(X2,ty_2Eextreal_2Eextreal) )
& mem(X1,ty_2Eextreal_2Eextreal) )
& mem(X0,ty_2Eextreal_2Eextreal) ),
inference(nnf_transformation,[],[f126]) ).
fof(f220,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0)) )
& ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0)) )
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0)) )
& mem(X2,ty_2Eextreal_2Eextreal) )
& mem(X1,ty_2Eextreal_2Eextreal) )
& mem(X0,ty_2Eextreal_2Eextreal) ),
inference(flattening,[],[f219]) ).
fof(f221,plain,
( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK19),sK18))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK20),sK18))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK19),sK20)),sK18)) )
& ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK19),sK18))
& p(ap(ap(c_2Eextreal_2Eextreal__le,sK20),sK18)) )
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK19),sK20)),sK18)) )
& mem(sK20,ty_2Eextreal_2Eextreal)
& mem(sK19,ty_2Eextreal_2Eextreal)
& mem(sK18,ty_2Eextreal_2Eextreal) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20]),skolemize(X0,sK18),skolemize(X1,sK19),skolemize(X2,sK20)],[f220]) ).
fof(f225,plain,
! [X2,X3,X0,X1] :
( ~ mem(X2,arr(X0,X1))
| ~ mem(X3,X0)
| mem(ap(X2,X3),X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f226,plain,
! [X0,X1] :
( ~ mem(X1,bool)
| p(X1)
| p(X0)
| X0 = X1
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f148]) ).
fof(f227,plain,
! [X0,X1] :
( ~ mem(X1,bool)
| ~ p(X1)
| ~ p(X0)
| X0 = X1
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f148]) ).
fof(f232,plain,
mem(c_2Ebool_2ET,bool),
inference(cnf_transformation,[],[f9]) ).
fof(f233,plain,
p(c_2Ebool_2ET),
inference(cnf_transformation,[],[f10]) ).
fof(f234,plain,
ne(ty_2Eextreal_2Eextreal),
inference(cnf_transformation,[],[f11]) ).
fof(f235,plain,
mem(c_2Eextreal_2Eextreal__le,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),
inference(cnf_transformation,[],[f12]) ).
fof(f237,plain,
mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),
inference(cnf_transformation,[],[f14]) ).
fof(f238,plain,
mem(c_2Ebool_2EF,bool),
inference(cnf_transformation,[],[f15]) ).
fof(f239,plain,
~ p(c_2Ebool_2EF),
inference(cnf_transformation,[],[f16]) ).
fof(f290,plain,
! [X2,X0,X1] :
( ~ mem(X2,X0)
| ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2EF),X1),X2) = X2
| ~ mem(X1,X0)
| ~ ne(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f291,plain,
! [X2,X0,X1] :
( ~ mem(X2,X0)
| ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2ET),X1),X2) = X1
| ~ mem(X1,X0)
| ~ ne(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f310,plain,
! [X2,X0,X1] :
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
| ~ mem(X2,ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(cnf_transformation,[],[f110]) ).
fof(f311,plain,
! [X0,X1] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(cnf_transformation,[],[f112]) ).
fof(f312,plain,
! [X0,X1] :
( ~ mem(X1,ty_2Eextreal_2Eextreal)
| ap(ap(c_2Eextreal_2Eextreal__max,X0),X1) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)),X1),X0)
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(cnf_transformation,[],[f113]) ).
fof(f418,plain,
mem(sK18,ty_2Eextreal_2Eextreal),
inference(cnf_transformation,[],[f221]) ).
fof(f419,plain,
mem(sK19,ty_2Eextreal_2Eextreal),
inference(cnf_transformation,[],[f221]) ).
fof(f420,plain,
mem(sK20,ty_2Eextreal_2Eextreal),
inference(cnf_transformation,[],[f221]) ).
fof(f421,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,sK20),sK18))
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK19),sK20)),sK18)) ),
inference(cnf_transformation,[],[f221]) ).
fof(f422,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,sK19),sK18))
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK19),sK20)),sK18)) ),
inference(cnf_transformation,[],[f221]) ).
fof(f423,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK19),sK18))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK20),sK18))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK19),sK20)),sK18)) ),
inference(cnf_transformation,[],[f221]) ).
fof(f427,definition,
sF21 = ap(c_2Eextreal_2Eextreal__le,sK19),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f428,plain,
ap(c_2Eextreal_2Eextreal__le,sK19) = sF21,
inference(reorient_equations,[],[f427]) ).
fof(f429,definition,
sF22 = ap(sF21,sK18),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f430,plain,
ap(sF21,sK18) = sF22,
inference(reorient_equations,[],[f429]) ).
fof(f431,definition,
sF23 = ap(c_2Eextreal_2Eextreal__le,sK20),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f432,plain,
ap(c_2Eextreal_2Eextreal__le,sK20) = sF23,
inference(reorient_equations,[],[f431]) ).
fof(f433,definition,
sF24 = ap(sF23,sK18),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f434,plain,
ap(sF23,sK18) = sF24,
inference(reorient_equations,[],[f433]) ).
fof(f435,definition,
sF25 = ap(c_2Eextreal_2Eextreal__max,sK19),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f436,plain,
ap(c_2Eextreal_2Eextreal__max,sK19) = sF25,
inference(reorient_equations,[],[f435]) ).
fof(f437,definition,
sF26 = ap(sF25,sK20),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f438,plain,
ap(sF25,sK20) = sF26,
inference(reorient_equations,[],[f437]) ).
fof(f439,definition,
sF27 = ap(c_2Eextreal_2Eextreal__le,sF26),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f440,plain,
ap(c_2Eextreal_2Eextreal__le,sF26) = sF27,
inference(reorient_equations,[],[f439]) ).
fof(f441,definition,
sF28 = ap(sF27,sK18),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
fof(f442,plain,
ap(sF27,sK18) = sF28,
inference(reorient_equations,[],[f441]) ).
fof(f443,plain,
( ~ p(sF22)
| ~ p(sF24)
| ~ p(sF28) ),
inference(definition_folding,[],[f423,f442,f440,f438,f436,f434,f432,f430,f428]) ).
fof(f444,plain,
( p(sF22)
| p(sF28) ),
inference(definition_folding,[],[f422,f442,f440,f438,f436,f430,f428]) ).
fof(f445,plain,
( p(sF24)
| p(sF28) ),
inference(definition_folding,[],[f421,f442,f440,f438,f436,f434,f432]) ).
fof(f461,definition,
( spl29_1
<=> p(sF28) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f462,plain,
( ~ p(sF28)
| spl29_1 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f463,plain,
( p(sF28)
| ~ spl29_1 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f465,definition,
( spl29_2
<=> p(sF24) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f466,plain,
( ~ p(sF24)
| spl29_2 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f467,plain,
( p(sF24)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f468,plain,
( spl29_1
| spl29_2 ),
inference(avatar_split_clause,[],[f445,f465,f461]) ).
fof(f470,definition,
( spl29_3
<=> p(sF22) ),
introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).
fof(f471,plain,
( ~ p(sF22)
| spl29_3 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f472,plain,
( p(sF22)
| ~ spl29_3 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f473,plain,
( spl29_1
| spl29_3 ),
inference(avatar_split_clause,[],[f444,f470,f461]) ).
fof(f474,plain,
( ~ spl29_1
| ~ spl29_2
| ~ spl29_3 ),
inference(avatar_split_clause,[],[f443,f470,f465,f461]) ).
fof(f478,plain,
! [X0] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| ap(ap(c_2Eextreal_2Eextreal__max,X0),sK20) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X0),sK20)),sK20),X0) ),
inference(resolution,[],[f420,f312]) ).
fof(f481,plain,
! [X0,X1] :
( ~ p(ap(sF21,X0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK19))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ mem(sK19,ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(superposition,[],[f310,f428]) ).
fof(f482,plain,
! [X0,X1] :
( ~ p(ap(sF23,X0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK20))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ mem(sK20,ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(superposition,[],[f310,f432]) ).
fof(f483,plain,
! [X0,X1] :
( ~ p(ap(sF27,X0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sF26))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ mem(sF26,ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(superposition,[],[f310,f440]) ).
fof(f485,definition,
( spl29_4
<=> mem(sF26,ty_2Eextreal_2Eextreal) ),
introduced(definition,[new_symbols(definition,[spl29_4])],[avatar_definition]) ).
fof(f486,plain,
( mem(sF26,ty_2Eextreal_2Eextreal)
| ~ spl29_4 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f487,plain,
( ~ mem(sF26,ty_2Eextreal_2Eextreal)
| spl29_4 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f489,definition,
( spl29_5
<=> ! [X0,X1] :
( ~ p(ap(sF27,X0))
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sF26))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_5])],[avatar_definition]) ).
fof(f490,plain,
( ! [X0,X1] :
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sF26))
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ p(ap(sF27,X0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)) )
| ~ spl29_5 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f491,plain,
( ~ spl29_4
| spl29_5 ),
inference(avatar_split_clause,[],[f483,f489,f485]) ).
fof(f492,plain,
! [X0,X1] :
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK20))
| ~ p(ap(sF23,X0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(forward_subsumption_resolution,[],[f482,f420]) ).
fof(f493,plain,
! [X0,X1] :
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK19))
| ~ p(ap(sF21,X0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal) ),
inference(forward_subsumption_resolution,[],[f481,f419]) ).
fof(f496,plain,
! [X0] :
( ~ p(ap(sF27,sK20))
| ~ p(ap(sF23,X0))
| p(ap(sF27,X0))
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ mem(sF26,ty_2Eextreal_2Eextreal) ),
inference(superposition,[],[f492,f440]) ).
fof(f502,definition,
( spl29_7
<=> p(ap(sF21,sK20)) ),
introduced(definition,[new_symbols(definition,[spl29_7])],[avatar_definition]) ).
fof(f503,plain,
( p(ap(sF21,sK20))
| ~ spl29_7 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f504,plain,
( ~ p(ap(sF21,sK20))
| spl29_7 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f508,plain,
! [X0] :
( ~ p(ap(sF27,sK19))
| ~ p(ap(sF21,X0))
| p(ap(sF27,X0))
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ mem(sF26,ty_2Eextreal_2Eextreal) ),
inference(superposition,[],[f493,f440]) ).
fof(f528,plain,
! [X0] :
( p(ap(sF21,X0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK19))
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ mem(sK19,ty_2Eextreal_2Eextreal) ),
inference(superposition,[],[f311,f428]) ).
fof(f529,plain,
! [X0] :
( p(ap(sF23,X0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK20))
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ mem(sK20,ty_2Eextreal_2Eextreal) ),
inference(superposition,[],[f311,f432]) ).
fof(f530,plain,
! [X0] :
( p(ap(sF27,X0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sF26))
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ mem(sF26,ty_2Eextreal_2Eextreal) ),
inference(superposition,[],[f311,f440]) ).
fof(f538,plain,
! [X0] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK20))
| p(ap(sF23,X0))
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(forward_subsumption_resolution,[],[f529,f420]) ).
fof(f539,plain,
! [X0] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK19))
| p(ap(sF21,X0))
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(forward_subsumption_resolution,[],[f528,f419]) ).
fof(f553,plain,
( p(ap(sF23,sK20))
| p(ap(sF23,sK20))
| ~ mem(sK20,ty_2Eextreal_2Eextreal) ),
inference(superposition,[],[f538,f432]) ).
fof(f555,plain,
( p(ap(sF23,sK20))
| ~ mem(sK20,ty_2Eextreal_2Eextreal) ),
inference(duplicate_literal_removal,[],[f553]) ).
fof(f558,plain,
p(ap(sF23,sK20)),
inference(forward_subsumption_resolution,[],[f555,f420]) ).
fof(f570,plain,
( p(ap(sF21,sK19))
| p(ap(sF21,sK19))
| ~ mem(sK19,ty_2Eextreal_2Eextreal) ),
inference(superposition,[],[f539,f428]) ).
fof(f573,plain,
( p(ap(sF21,sK19))
| ~ mem(sK19,ty_2Eextreal_2Eextreal) ),
inference(duplicate_literal_removal,[],[f570]) ).
fof(f576,plain,
p(ap(sF21,sK19)),
inference(forward_subsumption_resolution,[],[f573,f419]) ).
fof(f599,plain,
ap(ap(c_2Eextreal_2Eextreal__max,sK19),sK20) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK19),sK20)),sK20),sK19),
inference(resolution,[],[f478,f419]) ).
fof(f601,plain,
ap(ap(c_2Eextreal_2Eextreal__max,sK19),sK20) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(sF21,sK20)),sK20),sK19),
inference(forward_demodulation,[],[f599,f428]) ).
fof(f603,plain,
ap(sF25,sK20) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(sF21,sK20)),sK20),sK19),
inference(forward_demodulation,[],[f601,f436]) ).
fof(f604,plain,
sF26 = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(sF21,sK20)),sK20),sK19),
inference(forward_demodulation,[],[f603,f438]) ).
fof(f619,plain,
! [X0] :
( mem(ap(c_2Eextreal_2Eextreal__max,X0),arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(resolution,[],[f237,f225]) ).
fof(f621,plain,
( mem(sF25,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))
| ~ mem(sK19,ty_2Eextreal_2Eextreal) ),
inference(superposition,[],[f619,f436]) ).
fof(f622,plain,
mem(sF25,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)),
inference(forward_subsumption_resolution,[],[f621,f419]) ).
fof(f623,plain,
! [X0] :
( mem(ap(sF25,X0),ty_2Eextreal_2Eextreal)
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(resolution,[],[f622,f225]) ).
fof(f628,plain,
( mem(sF26,ty_2Eextreal_2Eextreal)
| ~ mem(sK20,ty_2Eextreal_2Eextreal) ),
inference(superposition,[],[f623,f438]) ).
fof(f629,plain,
( ~ mem(sK20,ty_2Eextreal_2Eextreal)
| spl29_4 ),
inference(forward_subsumption_resolution,[],[f628,f487]) ).
fof(f630,plain,
( $false
| spl29_4 ),
inference(forward_subsumption_resolution,[],[f629,f420]) ).
fof(f631,plain,
spl29_4,
inference(avatar_contradiction_clause,[],[f630]) ).
fof(f632,plain,
( ! [X0] :
( ~ p(ap(sF27,sK20))
| ~ p(ap(sF23,X0))
| p(ap(sF27,X0))
| ~ mem(X0,ty_2Eextreal_2Eextreal) )
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f496,f486]) ).
fof(f633,plain,
( ! [X0] :
( ~ p(ap(sF27,sK19))
| ~ p(ap(sF21,X0))
| p(ap(sF27,X0))
| ~ mem(X0,ty_2Eextreal_2Eextreal) )
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f508,f486]) ).
fof(f634,plain,
( ! [X0] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sF26))
| p(ap(sF27,X0))
| ~ mem(X0,ty_2Eextreal_2Eextreal) )
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f530,f486]) ).
fof(f641,definition,
( spl29_10
<=> ! [X0] :
( ~ p(ap(sF23,X0))
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| p(ap(sF27,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_10])],[avatar_definition]) ).
fof(f642,plain,
( ! [X0] :
( ~ p(ap(sF23,X0))
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| p(ap(sF27,X0)) )
| ~ spl29_10 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f644,definition,
( spl29_11
<=> p(ap(sF27,sK20)) ),
introduced(definition,[new_symbols(definition,[spl29_11])],[avatar_definition]) ).
fof(f646,plain,
( ~ p(ap(sF27,sK20))
| spl29_11 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f647,plain,
( spl29_10
| ~ spl29_11
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f632,f485,f644,f641]) ).
fof(f649,definition,
( spl29_12
<=> ! [X0] :
( ~ p(ap(sF21,X0))
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| p(ap(sF27,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_12])],[avatar_definition]) ).
fof(f650,plain,
( ! [X0] :
( ~ p(ap(sF21,X0))
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| p(ap(sF27,X0)) )
| ~ spl29_12 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f652,definition,
( spl29_13
<=> p(ap(sF27,sK19)) ),
introduced(definition,[new_symbols(definition,[spl29_13])],[avatar_definition]) ).
fof(f654,plain,
( ~ p(ap(sF27,sK19))
| spl29_13 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f655,plain,
( spl29_12
| ~ spl29_13
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f633,f485,f652,f649]) ).
fof(f657,definition,
( spl29_14
<=> p(ap(sF23,sF26)) ),
introduced(definition,[new_symbols(definition,[spl29_14])],[avatar_definition]) ).
fof(f658,plain,
( ~ p(ap(sF23,sF26))
| spl29_14 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f662,definition,
( spl29_15
<=> p(ap(sF21,sF26)) ),
introduced(definition,[new_symbols(definition,[spl29_15])],[avatar_definition]) ).
fof(f663,plain,
( ~ p(ap(sF21,sF26))
| spl29_15 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f668,plain,
( ~ p(sF24)
| ~ mem(sK18,ty_2Eextreal_2Eextreal)
| p(ap(sF27,sK18))
| ~ spl29_10 ),
inference(superposition,[],[f642,f434]) ).
fof(f669,plain,
( ~ mem(sK18,ty_2Eextreal_2Eextreal)
| p(ap(sF27,sK18))
| ~ spl29_2
| ~ spl29_10 ),
inference(forward_subsumption_resolution,[],[f668,f467]) ).
fof(f670,plain,
( p(ap(sF27,sK18))
| ~ spl29_2
| ~ spl29_10 ),
inference(forward_subsumption_resolution,[],[f669,f418]) ).
fof(f671,plain,
( p(sF28)
| ~ spl29_2
| ~ spl29_10 ),
inference(forward_demodulation,[],[f670,f442]) ).
fof(f672,plain,
( $false
| spl29_1
| ~ spl29_2
| ~ spl29_10 ),
inference(forward_subsumption_resolution,[],[f671,f462]) ).
fof(f673,plain,
( spl29_1
| ~ spl29_2
| ~ spl29_10 ),
inference(avatar_contradiction_clause,[],[f672]) ).
fof(f675,plain,
( ~ p(sF22)
| ~ mem(sK18,ty_2Eextreal_2Eextreal)
| p(ap(sF27,sK18))
| ~ spl29_12 ),
inference(superposition,[],[f650,f430]) ).
fof(f691,plain,
( ! [X0] :
( ~ p(ap(sF21,sF26))
| ~ mem(sK19,ty_2Eextreal_2Eextreal)
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ p(ap(sF27,X0))
| p(ap(sF21,X0)) )
| ~ spl29_5 ),
inference(superposition,[],[f490,f428]) ).
fof(f692,plain,
( ! [X0] :
( ~ p(ap(sF23,sF26))
| ~ mem(sK20,ty_2Eextreal_2Eextreal)
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ p(ap(sF27,X0))
| p(ap(sF23,X0)) )
| ~ spl29_5 ),
inference(superposition,[],[f490,f432]) ).
fof(f698,plain,
( ! [X0] :
( ~ p(ap(sF23,sF26))
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ p(ap(sF27,X0))
| p(ap(sF23,X0)) )
| ~ spl29_5 ),
inference(forward_subsumption_resolution,[],[f692,f420]) ).
fof(f699,plain,
( ! [X0] :
( ~ p(ap(sF21,sF26))
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ p(ap(sF27,X0))
| p(ap(sF21,X0)) )
| ~ spl29_5 ),
inference(forward_subsumption_resolution,[],[f691,f419]) ).
fof(f705,definition,
( spl29_16
<=> ! [X0] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| p(ap(sF23,X0))
| ~ p(ap(sF27,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_16])],[avatar_definition]) ).
fof(f706,plain,
( ! [X0] :
( ~ p(ap(sF27,X0))
| p(ap(sF23,X0))
| ~ mem(X0,ty_2Eextreal_2Eextreal) )
| ~ spl29_16 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f707,plain,
( spl29_16
| ~ spl29_14
| ~ spl29_5 ),
inference(avatar_split_clause,[],[f698,f489,f657,f705]) ).
fof(f709,definition,
( spl29_17
<=> ! [X0] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| p(ap(sF21,X0))
| ~ p(ap(sF27,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_17])],[avatar_definition]) ).
fof(f710,plain,
( ! [X0] :
( ~ p(ap(sF27,X0))
| p(ap(sF21,X0))
| ~ mem(X0,ty_2Eextreal_2Eextreal) )
| ~ spl29_17 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f711,plain,
( spl29_17
| ~ spl29_15
| ~ spl29_5 ),
inference(avatar_split_clause,[],[f699,f489,f662,f709]) ).
fof(f722,plain,
! [X0] :
( mem(ap(c_2Eextreal_2Eextreal__le,X0),arr(ty_2Eextreal_2Eextreal,bool))
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(resolution,[],[f235,f225]) ).
fof(f723,plain,
! [X0,X1] :
( mem(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1),bool)
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(resolution,[],[f722,f225]) ).
fof(f724,plain,
( mem(sF21,arr(ty_2Eextreal_2Eextreal,bool))
| ~ mem(sK19,ty_2Eextreal_2Eextreal) ),
inference(superposition,[],[f722,f428]) ).
fof(f729,plain,
mem(sF21,arr(ty_2Eextreal_2Eextreal,bool)),
inference(forward_subsumption_resolution,[],[f724,f419]) ).
fof(f730,plain,
! [X0] :
( mem(ap(sF21,X0),bool)
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(resolution,[],[f729,f225]) ).
fof(f738,plain,
( p(ap(sF27,sF26))
| p(ap(sF27,sF26))
| ~ mem(sF26,ty_2Eextreal_2Eextreal)
| ~ spl29_4 ),
inference(superposition,[],[f634,f440]) ).
fof(f739,plain,
( p(ap(sF27,sF26))
| ~ mem(sF26,ty_2Eextreal_2Eextreal)
| ~ spl29_4 ),
inference(duplicate_literal_removal,[],[f738]) ).
fof(f742,plain,
( p(ap(sF27,sF26))
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f739,f486]) ).
fof(f946,plain,
! [X0] :
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),sK19) = X0
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ ne(ty_2Eextreal_2Eextreal) ),
inference(resolution,[],[f291,f419]) ).
fof(f1010,plain,
! [X0] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),sK19) = X0 ),
inference(forward_subsumption_resolution,[],[f946,f234]) ).
fof(f1015,plain,
! [X0] :
( sK19 = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X0),sK19)
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ ne(ty_2Eextreal_2Eextreal) ),
inference(resolution,[],[f290,f419]) ).
fof(f1035,plain,
! [X0] :
( ~ mem(X0,ty_2Eextreal_2Eextreal)
| sK19 = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X0),sK19) ),
inference(forward_subsumption_resolution,[],[f1015,f234]) ).
fof(f1244,plain,
! [X0,X1] :
( ~ mem(X1,bool)
| p(X1)
| ap(sF21,X0) = X1
| p(ap(sF21,X0))
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(resolution,[],[f226,f730]) ).
fof(f1311,plain,
sK20 = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK20),sK19),
inference(resolution,[],[f1010,f420]) ).
fof(f1883,plain,
! [X0] :
( ~ p(c_2Ebool_2ET)
| ~ p(X0)
| c_2Ebool_2ET = X0
| ~ mem(X0,bool) ),
inference(resolution,[],[f232,f227]) ).
fof(f1895,plain,
! [X0] :
( ~ mem(X0,bool)
| c_2Ebool_2ET = X0
| ~ p(X0) ),
inference(forward_subsumption_resolution,[],[f1883,f233]) ).
fof(f1908,plain,
! [X0] :
( ~ p(ap(sF21,X0))
| c_2Ebool_2ET = ap(sF21,X0)
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(resolution,[],[f1895,f730]) ).
fof(f1911,plain,
! [X0,X1] :
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
| c_2Ebool_2ET = ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(resolution,[],[f1895,f723]) ).
fof(f1932,plain,
( c_2Ebool_2ET = ap(sF21,sK20)
| ~ mem(sK20,ty_2Eextreal_2Eextreal)
| ~ spl29_7 ),
inference(resolution,[],[f1908,f503]) ).
fof(f1933,plain,
( c_2Ebool_2ET = ap(sF21,sK19)
| ~ mem(sK19,ty_2Eextreal_2Eextreal) ),
inference(resolution,[],[f1908,f576]) ).
fof(f1941,plain,
c_2Ebool_2ET = ap(sF21,sK19),
inference(forward_subsumption_resolution,[],[f1933,f419]) ).
fof(f1942,plain,
( c_2Ebool_2ET = ap(sF21,sK20)
| ~ spl29_7 ),
inference(forward_subsumption_resolution,[],[f1932,f420]) ).
fof(f1954,plain,
( sF26 = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK20),sK19)
| ~ spl29_7 ),
inference(superposition,[],[f604,f1942]) ).
fof(f1960,plain,
( sK20 = sF26
| ~ spl29_7 ),
inference(forward_demodulation,[],[f1954,f1311]) ).
fof(f1965,plain,
( p(ap(sF21,sF26))
| ~ spl29_7 ),
inference(superposition,[],[f503,f1960]) ).
fof(f1967,plain,
( p(ap(sF23,sF26))
| ~ spl29_7 ),
inference(superposition,[],[f558,f1960]) ).
fof(f2317,plain,
! [X0] :
( c_2Ebool_2ET = ap(ap(c_2Eextreal_2Eextreal__le,X0),sK19)
| ~ mem(sK19,ty_2Eextreal_2Eextreal)
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| p(ap(sF21,X0))
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(resolution,[],[f1911,f539]) ).
fof(f2331,plain,
! [X0] :
( c_2Ebool_2ET = ap(ap(c_2Eextreal_2Eextreal__le,X0),sK19)
| ~ mem(sK19,ty_2Eextreal_2Eextreal)
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| p(ap(sF21,X0)) ),
inference(duplicate_literal_removal,[],[f2317]) ).
fof(f2358,plain,
! [X0] :
( p(ap(sF21,X0))
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| c_2Ebool_2ET = ap(ap(c_2Eextreal_2Eextreal__le,X0),sK19) ),
inference(forward_subsumption_resolution,[],[f2331,f419]) ).
fof(f2725,plain,
( spl29_15
| ~ spl29_7 ),
inference(avatar_split_clause,[],[f1965,f502,f662]) ).
fof(f2726,plain,
( spl29_14
| ~ spl29_7 ),
inference(avatar_split_clause,[],[f1967,f502,f657]) ).
fof(f2733,definition,
( spl29_37
<=> c_2Ebool_2ET = ap(sF21,sF26) ),
introduced(definition,[new_symbols(definition,[spl29_37])],[avatar_definition]) ).
fof(f2734,plain,
( c_2Ebool_2ET != ap(sF21,sF26)
| spl29_37 ),
inference(avatar_component_clause,[],[f2733]) ).
fof(f2735,plain,
( c_2Ebool_2ET = ap(sF21,sF26)
| ~ spl29_37 ),
inference(avatar_component_clause,[],[f2733]) ).
fof(f2742,definition,
( spl29_39
<=> c_2Ebool_2ET = ap(sF23,sF26) ),
introduced(definition,[new_symbols(definition,[spl29_39])],[avatar_definition]) ).
fof(f2743,plain,
( c_2Ebool_2ET != ap(sF23,sF26)
| spl29_39 ),
inference(avatar_component_clause,[],[f2742]) ).
fof(f2744,plain,
( c_2Ebool_2ET = ap(sF23,sF26)
| ~ spl29_39 ),
inference(avatar_component_clause,[],[f2742]) ).
fof(f2907,plain,
( ~ p(sF28)
| p(ap(sF21,sK18))
| ~ mem(sK18,ty_2Eextreal_2Eextreal)
| ~ spl29_17 ),
inference(superposition,[],[f710,f442]) ).
fof(f2914,plain,
( p(ap(sF21,sK18))
| ~ mem(sK18,ty_2Eextreal_2Eextreal)
| ~ spl29_1
| ~ spl29_17 ),
inference(forward_subsumption_resolution,[],[f2907,f463]) ).
fof(f2918,plain,
( p(ap(sF21,sK18))
| ~ spl29_1
| ~ spl29_17 ),
inference(forward_subsumption_resolution,[],[f2914,f418]) ).
fof(f2923,plain,
( p(sF22)
| ~ spl29_1
| ~ spl29_17 ),
inference(forward_demodulation,[],[f2918,f430]) ).
fof(f2924,plain,
( $false
| ~ spl29_1
| spl29_3
| ~ spl29_17 ),
inference(forward_subsumption_resolution,[],[f2923,f471]) ).
fof(f2925,plain,
( ~ spl29_1
| spl29_3
| ~ spl29_17 ),
inference(avatar_contradiction_clause,[],[f2924]) ).
fof(f2926,plain,
( ~ p(c_2Ebool_2ET)
| spl29_15
| ~ spl29_37 ),
inference(forward_demodulation,[],[f663,f2735]) ).
fof(f2929,plain,
( $false
| spl29_15
| ~ spl29_37 ),
inference(forward_subsumption_resolution,[],[f2926,f233]) ).
fof(f2930,plain,
( spl29_15
| ~ spl29_37 ),
inference(avatar_contradiction_clause,[],[f2929]) ).
fof(f2942,plain,
( ~ p(sF28)
| p(ap(sF23,sK18))
| ~ mem(sK18,ty_2Eextreal_2Eextreal)
| ~ spl29_16 ),
inference(superposition,[],[f706,f442]) ).
fof(f2948,plain,
( p(ap(sF23,sK18))
| ~ mem(sK18,ty_2Eextreal_2Eextreal)
| ~ spl29_1
| ~ spl29_16 ),
inference(forward_subsumption_resolution,[],[f2942,f463]) ).
fof(f2950,plain,
( p(ap(sF23,sK18))
| ~ spl29_1
| ~ spl29_16 ),
inference(forward_subsumption_resolution,[],[f2948,f418]) ).
fof(f2951,plain,
( p(sF24)
| ~ spl29_1
| ~ spl29_16 ),
inference(forward_demodulation,[],[f2950,f434]) ).
fof(f2952,plain,
( $false
| ~ spl29_1
| spl29_2
| ~ spl29_16 ),
inference(forward_subsumption_resolution,[],[f2951,f466]) ).
fof(f2953,plain,
( ~ spl29_1
| spl29_2
| ~ spl29_16 ),
inference(avatar_contradiction_clause,[],[f2952]) ).
fof(f2954,plain,
( ~ p(c_2Ebool_2ET)
| spl29_14
| ~ spl29_39 ),
inference(forward_demodulation,[],[f658,f2744]) ).
fof(f2959,plain,
( $false
| spl29_14
| ~ spl29_39 ),
inference(forward_subsumption_resolution,[],[f2954,f233]) ).
fof(f2960,plain,
( spl29_14
| ~ spl29_39 ),
inference(avatar_contradiction_clause,[],[f2959]) ).
fof(f3977,plain,
sK19 = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK20),sK19),
inference(resolution,[],[f1035,f420]) ).
fof(f5289,plain,
! [X0] :
( p(c_2Ebool_2EF)
| c_2Ebool_2EF = ap(sF21,X0)
| p(ap(sF21,X0))
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(resolution,[],[f238,f1244]) ).
fof(f5301,plain,
! [X0] :
( p(ap(sF21,X0))
| c_2Ebool_2EF = ap(sF21,X0)
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(forward_subsumption_resolution,[],[f5289,f239]) ).
fof(f5312,plain,
( c_2Ebool_2EF = ap(sF21,sK20)
| ~ mem(sK20,ty_2Eextreal_2Eextreal)
| spl29_7 ),
inference(resolution,[],[f5301,f504]) ).
fof(f5325,plain,
( c_2Ebool_2EF = ap(sF21,sK20)
| spl29_7 ),
inference(forward_subsumption_resolution,[],[f5312,f420]) ).
fof(f5502,plain,
( sF26 = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK20),sK19)
| spl29_7 ),
inference(superposition,[],[f604,f5325]) ).
fof(f5509,plain,
( p(c_2Ebool_2EF)
| ~ mem(sK20,ty_2Eextreal_2Eextreal)
| c_2Ebool_2ET = ap(ap(c_2Eextreal_2Eextreal__le,sK20),sK19)
| spl29_7 ),
inference(superposition,[],[f2358,f5325]) ).
fof(f5514,plain,
( ~ mem(sK20,ty_2Eextreal_2Eextreal)
| c_2Ebool_2ET = ap(ap(c_2Eextreal_2Eextreal__le,sK20),sK19)
| spl29_7 ),
inference(forward_subsumption_resolution,[],[f5509,f239]) ).
fof(f5515,plain,
( sK19 = sF26
| spl29_7 ),
inference(forward_demodulation,[],[f5502,f3977]) ).
fof(f5516,plain,
( c_2Ebool_2ET = ap(ap(c_2Eextreal_2Eextreal__le,sK20),sK19)
| spl29_7 ),
inference(forward_subsumption_resolution,[],[f5514,f420]) ).
fof(f5517,plain,
( c_2Ebool_2ET = ap(ap(c_2Eextreal_2Eextreal__le,sK20),sF26)
| spl29_7 ),
inference(forward_demodulation,[],[f5516,f5515]) ).
fof(f5518,plain,
( c_2Ebool_2ET = ap(sF23,sF26)
| spl29_7 ),
inference(forward_demodulation,[],[f5517,f432]) ).
fof(f5519,plain,
( $false
| spl29_7
| spl29_39 ),
inference(forward_subsumption_resolution,[],[f5518,f2743]) ).
fof(f5520,plain,
( spl29_7
| spl29_39 ),
inference(avatar_contradiction_clause,[],[f5519]) ).
fof(f5604,plain,
( c_2Ebool_2ET = ap(sF21,sF26)
| spl29_7 ),
inference(superposition,[],[f1941,f5515]) ).
fof(f5623,plain,
( $false
| spl29_7
| spl29_37 ),
inference(forward_subsumption_resolution,[],[f5604,f2734]) ).
fof(f5624,plain,
( spl29_7
| spl29_37 ),
inference(avatar_contradiction_clause,[],[f5623]) ).
fof(f5674,plain,
( ~ mem(sK18,ty_2Eextreal_2Eextreal)
| p(ap(sF27,sK18))
| ~ spl29_3
| ~ spl29_12 ),
inference(forward_subsumption_resolution,[],[f675,f472]) ).
fof(f5734,plain,
( p(ap(sF27,sK18))
| ~ spl29_3
| ~ spl29_12 ),
inference(forward_subsumption_resolution,[],[f5674,f418]) ).
fof(f5763,plain,
( p(sF28)
| ~ spl29_3
| ~ spl29_12 ),
inference(forward_demodulation,[],[f5734,f442]) ).
fof(f5786,plain,
( $false
| spl29_1
| ~ spl29_3
| ~ spl29_12 ),
inference(forward_subsumption_resolution,[],[f5763,f462]) ).
fof(f5787,plain,
( spl29_1
| ~ spl29_3
| ~ spl29_12 ),
inference(avatar_contradiction_clause,[],[f5786]) ).
fof(f5794,plain,
( ~ p(ap(sF27,sF26))
| spl29_7
| spl29_13 ),
inference(forward_demodulation,[],[f654,f5515]) ).
fof(f5846,plain,
( $false
| ~ spl29_4
| spl29_7
| spl29_13 ),
inference(forward_subsumption_resolution,[],[f5794,f742]) ).
fof(f5847,plain,
( ~ spl29_4
| spl29_7
| spl29_13 ),
inference(avatar_contradiction_clause,[],[f5846]) ).
fof(f5894,plain,
( ~ p(ap(sF27,sF26))
| ~ spl29_7
| spl29_11 ),
inference(forward_demodulation,[],[f646,f1960]) ).
fof(f5990,plain,
( $false
| ~ spl29_4
| ~ spl29_7
| spl29_11 ),
inference(forward_subsumption_resolution,[],[f5894,f742]) ).
fof(f5991,plain,
( ~ spl29_4
| ~ spl29_7
| spl29_11 ),
inference(avatar_contradiction_clause,[],[f5990]) ).
cnf(s1,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f468]) ).
cnf(s2,plain,
( spl29_1
| spl29_3 ),
inference(sat_conversion,[],[f473]) ).
cnf(s3,plain,
( ~ spl29_1
| ~ spl29_2
| ~ spl29_3 ),
inference(sat_conversion,[],[f474]) ).
cnf(s4,plain,
( ~ spl29_4
| spl29_5 ),
inference(sat_conversion,[],[f491]) ).
cnf(s8,plain,
spl29_4,
inference(sat_conversion,[],[f631]) ).
cnf(s9,plain,
( ~ spl29_4
| spl29_10
| ~ spl29_11 ),
inference(sat_conversion,[],[f647]) ).
cnf(s10,plain,
( ~ spl29_4
| spl29_12
| ~ spl29_13 ),
inference(sat_conversion,[],[f655]) ).
cnf(s15,plain,
( spl29_1
| ~ spl29_2
| ~ spl29_10 ),
inference(sat_conversion,[],[f673]) ).
cnf(s16,plain,
( ~ spl29_5
| ~ spl29_14
| spl29_16 ),
inference(sat_conversion,[],[f707]) ).
cnf(s17,plain,
( ~ spl29_5
| ~ spl29_15
| spl29_17 ),
inference(sat_conversion,[],[f711]) ).
cnf(s47,plain,
( ~ spl29_7
| spl29_15 ),
inference(sat_conversion,[],[f2725]) ).
cnf(s48,plain,
( ~ spl29_7
| spl29_14 ),
inference(sat_conversion,[],[f2726]) ).
cnf(s89,plain,
( ~ spl29_1
| spl29_3
| ~ spl29_17 ),
inference(sat_conversion,[],[f2925]) ).
cnf(s90,plain,
( spl29_15
| ~ spl29_37 ),
inference(sat_conversion,[],[f2930]) ).
cnf(s91,plain,
( ~ spl29_1
| spl29_2
| ~ spl29_16 ),
inference(sat_conversion,[],[f2953]) ).
cnf(s92,plain,
( spl29_14
| ~ spl29_39 ),
inference(sat_conversion,[],[f2960]) ).
cnf(s125,plain,
( spl29_7
| spl29_39 ),
inference(sat_conversion,[],[f5520]) ).
cnf(s132,plain,
( spl29_7
| spl29_37 ),
inference(sat_conversion,[],[f5624]) ).
cnf(s150,plain,
( spl29_1
| ~ spl29_3
| ~ spl29_12 ),
inference(sat_conversion,[],[f5787]) ).
cnf(s157,plain,
( ~ spl29_4
| spl29_7
| spl29_13 ),
inference(sat_conversion,[],[f5847]) ).
cnf(s162,plain,
( ~ spl29_4
| ~ spl29_7
| spl29_11 ),
inference(sat_conversion,[],[f5991]) ).
cnf(s180,plain,
spl29_5,
inference(rat,[],[s4,s8]) ).
cnf(s181,plain,
spl29_1,
inference(rat,[],[s162,s157,s9,s10,s15,s150,s1,s2,s8]) ).
cnf(s182,plain,
spl29_14,
inference(rat,[],[s125,s48,s92]) ).
cnf(s183,plain,
spl29_16,
inference(rat,[],[s16,s180,s182]) ).
cnf(s185,plain,
spl29_2,
inference(rat,[],[s91,s181,s183]) ).
cnf(s186,plain,
~ spl29_3,
inference(rat,[],[s3,s181,s185]) ).
cnf(s187,plain,
~ spl29_17,
inference(rat,[],[s89,s181,s186]) ).
cnf(s192,plain,
~ spl29_15,
inference(rat,[],[s17,s180,s187]) ).
cnf(s194,plain,
~ spl29_37,
inference(rat,[],[s90,s192]) ).
cnf(s195,plain,
~ spl29_7,
inference(rat,[],[s47,s192]) ).
cnf(s199,plain,
$false,
inference(rat,[],[s132,s194,s195]) ).
fof(f6036,plain,
$false,
inference(avatar_sat_refutation,[],[s199]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP021+2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n013.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 12:06:22 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.99/1.71 % (117039)Detected formulas, will run a generic FOF schedule.
% 3.99/1.71 % (117044)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=3311400194:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.99/1.71 % (117048)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3042640799:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.99/1.71 % (117046)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=4277858531:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.99/1.71 % (117047)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1835080448:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.99/1.71 % (117045)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=3854909800:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.99/1.71 % (117049)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4031813944:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.99/1.71 % (117050)dis-21_1_sil=8000:lcm=predicate:random_seed=892484894: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)
% 3.99/1.71 % (117048)Instruction limit reached!
% 3.99/1.71 % (117048)------------------------------
% 3.99/1.71 % (117048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.71 % (117048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.71 % (117048)CaDiCaL version: 2.1.3
% 3.99/1.71 % (117048)Termination reason: Instruction limit
% 3.99/1.71 % (117048)Termination phase: Saturation
% 3.99/1.71 % (117048)Time elapsed: 0.053 s
% 3.99/1.71 % (117048)Peak memory usage: 88 MB
% 3.99/1.71 % (117048)Instructions burned: 119 (million)
% 3.99/1.71 % (117047)Instruction limit reached!
% 3.99/1.71 % (117047)------------------------------
% 3.99/1.71 % (117047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.71 % (117047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.71 % (117047)CaDiCaL version: 2.1.3
% 3.99/1.71 % (117047)Termination reason: Instruction limit
% 3.99/1.71 % (117047)Termination phase: Saturation
% 3.99/1.71 % (117047)Time elapsed: 0.048 s
% 3.99/1.71 % (117047)Peak memory usage: 88 MB
% 3.99/1.71 % (117047)Instructions burned: 109 (million)
% 3.99/1.71 % (117050)Instruction limit reached!
% 3.99/1.71 % (117050)------------------------------
% 3.99/1.71 % (117050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.71 % (117050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.71 % (117050)CaDiCaL version: 2.1.3
% 3.99/1.71 % (117050)Termination reason: Instruction limit
% 3.99/1.71 % (117050)Termination phase: Saturation
% 3.99/1.71 % (117050)Time elapsed: 0.076 s
% 3.99/1.71 % (117050)Peak memory usage: 90 MB
% 3.99/1.71 % (117050)Instructions burned: 131 (million)
% 3.99/1.71 % (117049)Instruction limit reached!
% 3.99/1.71 % (117049)------------------------------
% 3.99/1.71 % (117049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.71 % (117049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.71 % (117049)CaDiCaL version: 2.1.3
% 3.99/1.71 % (117049)Termination reason: Instruction limit
% 3.99/1.71 % (117049)Termination phase: Saturation
% 3.99/1.71 % (117049)Time elapsed: 0.099 s
% 3.99/1.71 % (117049)Peak memory usage: 90 MB
% 3.99/1.71 % (117049)Instructions burned: 139 (million)
% 3.99/1.71 % (117059)lrs+10_1_sil=32000:urr=on:br=off:random_seed=92694488:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 3.99/1.71 % (117058)lrs+10_1_sil=8000:sp=occurrence:random_seed=423782925:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.99/1.71 % (117060)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3296447985:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.99/1.71 % (117061)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=3648468702:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 3.99/1.71 % (117059)Instruction limit reached!
% 3.99/1.71 % (117059)------------------------------
% 3.99/1.71 % (117059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.71 % (117059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.71 % (117059)CaDiCaL version: 2.1.3
% 3.99/1.71 % (117059)Termination reason: Instruction limit
% 3.99/1.71 % (117059)Termination phase: Saturation
% 3.99/1.71 % (117059)Time elapsed: 0.077 s
% 3.99/1.71 % (117059)Peak memory usage: 90 MB
% 3.99/1.71 % (117059)Instructions burned: 158 (million)
% 3.99/1.71 % (117058)Instruction limit reached!
% 3.99/1.71 % (117058)------------------------------
% 3.99/1.71 % (117058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.71 % (117058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.71 % (117058)CaDiCaL version: 2.1.3
% 3.99/1.71 % (117058)Termination reason: Instruction limit
% 3.99/1.71 % (117058)Termination phase: Saturation
% 3.99/1.71 % (117058)Time elapsed: 0.164 s
% 3.99/1.71 % (117058)Peak memory usage: 91 MB
% 3.99/1.71 % (117058)Instructions burned: 285 (million)
% 3.99/1.71 % (117061)Instruction limit reached!
% 3.99/1.71 % (117061)------------------------------
% 3.99/1.71 % (117061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.71 % (117061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.71 % (117061)CaDiCaL version: 2.1.3
% 3.99/1.71 % (117061)Termination reason: Instruction limit
% 3.99/1.71 % (117061)Termination phase: Saturation
% 3.99/1.71 % (117061)Time elapsed: 0.122 s
% 3.99/1.71 % (117061)Peak memory usage: 93 MB
% 3.99/1.71 % (117061)Instructions burned: 249 (million)
% 3.99/1.71 % (117066)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=473918618:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 3.99/1.71 % (117060)Instruction limit reached!
% 3.99/1.71 % (117060)------------------------------
% 3.99/1.71 % (117060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.71 % (117060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.71 % (117060)CaDiCaL version: 2.1.3
% 3.99/1.71 % (117060)Termination reason: Instruction limit
% 3.99/1.71 % (117060)Termination phase: Saturation
% 3.99/1.71 % (117060)Time elapsed: 0.194 s
% 3.99/1.71 % (117060)Peak memory usage: 92 MB
% 3.99/1.71 % (117060)Instructions burned: 326 (million)
% 3.99/1.71 % (117068)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2450914657:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 3.99/1.71 % (117067)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2498310205:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 3.99/1.71 % (117066)Instruction limit reached!
% 3.99/1.71 % (117066)------------------------------
% 3.99/1.71 % (117066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.71 % (117066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.71 % (117066)CaDiCaL version: 2.1.3
% 3.99/1.71 % (117066)Termination reason: Instruction limit
% 3.99/1.71 % (117066)Termination phase: Saturation
% 3.99/1.71 % (117066)Time elapsed: 0.130 s
% 3.99/1.71 % (117066)Peak memory usage: 89 MB
% 3.99/1.71 % (117066)Instructions burned: 296 (million)
% 3.99/1.71 % (117070)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2068493980:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 3.99/1.71 % (117044)First to succeed.
% 3.99/1.71 % (117044)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-117039"
% 3.99/1.71 % (117068)Instruction limit reached!
% 3.99/1.71 % (117068)------------------------------
% 3.99/1.71 % (117068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.71 % (117068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.71 % (117068)CaDiCaL version: 2.1.3
% 3.99/1.71 % (117068)Termination reason: Instruction limit
% 3.99/1.71 % (117068)Termination phase: Saturation
% 3.99/1.71 % (117068)Time elapsed: 0.064 s
% 3.99/1.71 % (117068)Peak memory usage: 89 MB
% 3.99/1.71 % (117068)Instructions burned: 113 (million)
% 3.99/1.71 % (117070)Instruction limit reached!
% 3.99/1.71 % (117070)------------------------------
% 3.99/1.71 % (117070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.71 % (117070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.71 % (117070)CaDiCaL version: 2.1.3
% 3.99/1.71 % (117070)Termination reason: Instruction limit
% 3.99/1.71 % (117070)Termination phase: Saturation
% 3.99/1.71 % (117070)Time elapsed: 0.057 s
% 3.99/1.71 % (117070)Peak memory usage: 88 MB
% 3.99/1.71 % (117070)Instructions burned: 127 (million)
% 3.99/1.71 % (117073)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4014454755:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 3.99/1.71 % (117075)lrs+10_1_sil=8000:sp=occurrence:random_seed=4121855773:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 3.99/1.71 % (117044)Refutation found. Thanks to Tanya!
% 3.99/1.71 % SZS status Theorem for theBenchmark
% 3.99/1.71 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.80 % (117044)------------------------------
% 0.18/1.80 % (117044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.80 % (117044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.80 % (117044)CaDiCaL version: 2.1.3
% 0.18/1.80 % (117044)Termination reason: Refutation
% 0.18/1.80 % (117044)Time elapsed: 0.584 s
% 0.18/1.80 % (117044)Peak memory usage: 134 MB
% 0.18/1.80 % (117044)Instructions burned: 1513 (million)
% 0.18/1.80 % (117044)------------------------------
% 0.18/1.80 % (117044)------------------------------
% 0.18/1.80 % (117039)Success in time 0.853 s
% 0.18/1.80 % Vampire exiting
%------------------------------------------------------------------------------