%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP021+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:28:42 AM UTC 2026
% Result : Theorem 9.67s 2.33s
% Output : Refutation 10.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 97 ( 19 unt; 6 def)
% Number of atoms : 257 ( 31 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 263 ( 103 ~; 139 |; 11 &)
% ( 8 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 7 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-3 aty)
% Number of variables : 58 ( 0 sgn 49 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Enotfalse) ).
fof(f5,axiom,
! [X0] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Ebool__cases__ax) ).
fof(f27,axiom,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
fof(f37,axiom,
! [X0,X1,X2] :
( s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X0,X1),s(X0,X2))) = s(X0,X1)
& s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(X0,X1),s(X0,X2))) = s(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ECOND__CLAUSES) ).
fof(f41,axiom,
! [X0,X1,X2] :
( ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X0),s(tyop_2Eextreal_2Eextreal,X1))))
& p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2)))) )
=> p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X0),s(tyop_2Eextreal_2Eextreal,X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eextreal_2Ele__trans) ).
fof(f42,axiom,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X0),s(tyop_2Eextreal_2Eextreal,X1))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eextreal_2Ele__total) ).
fof(f43,axiom,
! [X0,X1] : s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X0),s(tyop_2Eextreal_2Eextreal,X1))) = s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X0),s(tyop_2Eextreal_2Eextreal,X1))),s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eextreal_2Eextreal__max__def) ).
fof(f54,conjecture,
! [X0,X1,X2] :
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))),s(tyop_2Eextreal_2Eextreal,X0))))
<=> ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X0))))
& p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eextreal_2Emax__le) ).
fof(f55,negated_conjecture,
~ ! [X0,X1,X2] :
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))),s(tyop_2Eextreal_2Eextreal,X0))))
<=> ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X0))))
& p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X0)))) ) ),
inference(negated_conjecture,[status(cth)],[f54]) ).
fof(f68,plain,
! [X0,X1,X2] :
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X0),s(tyop_2Eextreal_2Eextreal,X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X0),s(tyop_2Eextreal_2Eextreal,X1))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2)))) ),
inference(ennf_transformation,[],[f41]) ).
fof(f69,plain,
! [X0,X1,X2] :
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X0),s(tyop_2Eextreal_2Eextreal,X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X0),s(tyop_2Eextreal_2Eextreal,X1))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2)))) ),
inference(flattening,[],[f68]) ).
fof(f79,plain,
? [X0,X1,X2] :
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))),s(tyop_2Eextreal_2Eextreal,X0))))
<~> ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X0))))
& p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X0)))) ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f158,plain,
? [X0,X1,X2] :
( ( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))),s(tyop_2Eextreal_2Eextreal,X0)))) )
& ( ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X0))))
& p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X0)))) )
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))),s(tyop_2Eextreal_2Eextreal,X0)))) ) ),
inference(nnf_transformation,[],[f79]) ).
fof(f159,plain,
? [X0,X1,X2] :
( ( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))),s(tyop_2Eextreal_2Eextreal,X0)))) )
& ( ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X0))))
& p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X0)))) )
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))),s(tyop_2Eextreal_2Eextreal,X0)))) ) ),
inference(flattening,[],[f158]) ).
fof(f160,plain,
( ( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK9))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK11),s(tyop_2Eextreal_2Eextreal,sK9))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK11))),s(tyop_2Eextreal_2Eextreal,sK9)))) )
& ( ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK9))))
& p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK11),s(tyop_2Eextreal_2Eextreal,sK9)))) )
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK11))),s(tyop_2Eextreal_2Eextreal,sK9)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11]),skolemize(X0,sK9),skolemize(X1,sK10),skolemize(X2,sK11)],[f159]) ).
fof(f165,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
inference(cnf_transformation,[],[f4]) ).
fof(f166,plain,
! [X0] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f206,plain,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(cnf_transformation,[],[f27]) ).
fof(f247,plain,
! [X2,X0,X1] : s(X0,X2) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(X0,X1),s(X0,X2))),
inference(cnf_transformation,[],[f37]) ).
fof(f248,plain,
! [X2,X0,X1] : s(X0,X1) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X0,X1),s(X0,X2))),
inference(cnf_transformation,[],[f37]) ).
fof(f267,plain,
! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X0),s(tyop_2Eextreal_2Eextreal,X1))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X0),s(tyop_2Eextreal_2Eextreal,X2)))) ),
inference(cnf_transformation,[],[f69]) ).
fof(f268,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X0),s(tyop_2Eextreal_2Eextreal,X1))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X0)))) ),
inference(cnf_transformation,[],[f42]) ).
fof(f269,plain,
! [X0,X1] : s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X0),s(tyop_2Eextreal_2Eextreal,X1))) = s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X0),s(tyop_2Eextreal_2Eextreal,X1))),s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X0))),
inference(cnf_transformation,[],[f43]) ).
fof(f392,plain,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK11),s(tyop_2Eextreal_2Eextreal,sK9))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK11))),s(tyop_2Eextreal_2Eextreal,sK9)))) ),
inference(cnf_transformation,[],[f160]) ).
fof(f393,plain,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK9))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK11))),s(tyop_2Eextreal_2Eextreal,sK9)))) ),
inference(cnf_transformation,[],[f160]) ).
fof(f394,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK9))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK11),s(tyop_2Eextreal_2Eextreal,sK9))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK11))),s(tyop_2Eextreal_2Eextreal,sK9)))) ),
inference(cnf_transformation,[],[f160]) ).
fof(f412,definition,
( spl12_1
<=> p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK11))),s(tyop_2Eextreal_2Eextreal,sK9)))) ),
introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).
fof(f413,plain,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK11))),s(tyop_2Eextreal_2Eextreal,sK9))))
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f415,definition,
( spl12_2
<=> p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK11),s(tyop_2Eextreal_2Eextreal,sK9)))) ),
introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition]) ).
fof(f416,plain,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK11),s(tyop_2Eextreal_2Eextreal,sK9))))
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f417,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f392,f415,f412]) ).
fof(f419,definition,
( spl12_3
<=> p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK9)))) ),
introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition]) ).
fof(f420,plain,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK9))))
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f421,plain,
( spl12_1
| spl12_3 ),
inference(avatar_split_clause,[],[f393,f419,f412]) ).
fof(f422,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK11))),s(tyop_2Eextreal_2Eextreal,sK9))))
| spl12_1 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f423,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK11),s(tyop_2Eextreal_2Eextreal,sK9))))
| spl12_2 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f424,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK9))))
| spl12_3 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f425,plain,
( ~ spl12_1
| ~ spl12_2
| ~ spl12_3 ),
inference(avatar_split_clause,[],[f394,f419,f415,f412]) ).
fof(f433,definition,
( spl12_4
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
introduced(definition,[new_symbols(definition,[spl12_4])],[avatar_definition]) ).
fof(f436,definition,
( spl12_5
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
introduced(definition,[new_symbols(definition,[spl12_5])],[avatar_definition]) ).
fof(f437,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f440,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| spl12_4 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f460,plain,
spl12_5,
inference(avatar_split_clause,[],[f206,f436]) ).
fof(f461,plain,
~ spl12_4,
inference(avatar_split_clause,[],[f165,f433]) ).
fof(f474,plain,
! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X1))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X0),s(tyop_2Eextreal_2Eextreal,X1))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X0)))) ),
inference(resolution,[],[f268,f267]) ).
fof(f478,plain,
! [X0] : p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X0),s(tyop_2Eextreal_2Eextreal,X0)))),
inference(factoring,[],[f268]) ).
fof(f715,plain,
! [X0,X1] :
( s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X0),s(tyop_2Eextreal_2Eextreal,X1))) = s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X0)))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X0),s(tyop_2Eextreal_2Eextreal,X1))) ),
inference(superposition,[],[f269,f166]) ).
fof(f781,plain,
! [X0,X1] :
( s(tyop_2Eextreal_2Eextreal,X1) = s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X0),s(tyop_2Eextreal_2Eextreal,X1)))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X0),s(tyop_2Eextreal_2Eextreal,X1))) ),
inference(forward_demodulation,[],[f715,f248]) ).
fof(f1146,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK11),s(tyop_2Eextreal_2Eextreal,sK9))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK11)))
| spl12_1 ),
inference(superposition,[],[f422,f781]) ).
fof(f1216,definition,
( spl12_10
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK11))) ),
introduced(definition,[new_symbols(definition,[spl12_10])],[avatar_definition]) ).
fof(f1217,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK11)))
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f1230,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK11)))
| spl12_1
| ~ spl12_2 ),
inference(forward_subsumption_resolution,[],[f1146,f416]) ).
fof(f1231,plain,
( spl12_10
| spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f1230,f415,f412,f1216]) ).
fof(f1232,plain,
( ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X0),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK11))))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X0),s(tyop_2Eextreal_2Eextreal,sK9)))) )
| ~ spl12_1 ),
inference(resolution,[],[f413,f267]) ).
fof(f1236,plain,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK11),s(tyop_2Eextreal_2Eextreal,sK9))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK11)))
| ~ spl12_1 ),
inference(superposition,[],[f413,f781]) ).
fof(f1249,plain,
( ! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X0),s(tyop_2Eextreal_2Eextreal,sK9))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X0),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK11))))) )
| ~ spl12_1 ),
inference(superposition,[],[f1232,f166]) ).
fof(f1250,plain,
( ! [X0] :
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X0),s(tyop_2Eextreal_2Eextreal,sK9))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X0),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK11))))) )
| ~ spl12_1
| ~ spl12_5 ),
inference(forward_subsumption_resolution,[],[f1249,f437]) ).
fof(f1265,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK11)))
| ~ spl12_1
| spl12_2 ),
inference(forward_subsumption_resolution,[],[f1236,f423]) ).
fof(f1270,plain,
( spl12_10
| ~ spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f1265,f415,f412,f1216]) ).
fof(f1326,plain,
( ! [X0] :
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X0),s(tyop_2Eextreal_2Eextreal,sK9))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,X0)))) )
| ~ spl12_3 ),
inference(resolution,[],[f420,f474]) ).
fof(f1342,plain,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK11))))
| spl12_2
| ~ spl12_3 ),
inference(resolution,[],[f1326,f423]) ).
fof(f1359,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| spl12_2
| ~ spl12_3
| ~ spl12_10 ),
inference(forward_demodulation,[],[f1342,f1217]) ).
fof(f1360,plain,
( $false
| spl12_2
| ~ spl12_3
| spl12_4
| ~ spl12_10 ),
inference(forward_subsumption_resolution,[],[f1359,f440]) ).
fof(f1361,plain,
( spl12_2
| ~ spl12_3
| spl12_4
| ~ spl12_10 ),
inference(avatar_contradiction_clause,[],[f1360]) ).
fof(f1463,plain,
( s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK11))) = s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(tyop_2Eextreal_2Eextreal,sK11),s(tyop_2Eextreal_2Eextreal,sK10)))
| ~ spl12_10 ),
inference(superposition,[],[f269,f1217]) ).
fof(f1470,plain,
( s(tyop_2Eextreal_2Eextreal,sK10) = s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK11)))
| ~ spl12_10 ),
inference(forward_demodulation,[],[f1463,f247]) ).
fof(f1515,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK10))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK9))))
| ~ spl12_1
| ~ spl12_10 ),
inference(superposition,[],[f1232,f1470]) ).
fof(f1532,plain,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK9))))
| ~ spl12_1
| ~ spl12_10 ),
inference(forward_subsumption_resolution,[],[f1515,f478]) ).
fof(f1535,plain,
( $false
| ~ spl12_1
| spl12_3
| ~ spl12_10 ),
inference(forward_subsumption_resolution,[],[f1532,f424]) ).
fof(f1536,plain,
( ~ spl12_1
| spl12_3
| ~ spl12_10 ),
inference(avatar_contradiction_clause,[],[f1535]) ).
fof(f1699,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK11)))))
| ~ spl12_1
| spl12_3
| ~ spl12_5 ),
inference(resolution,[],[f1250,f424]) ).
fof(f1708,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK11)))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK11)))
| ~ spl12_1
| spl12_3
| ~ spl12_5 ),
inference(superposition,[],[f1699,f781]) ).
fof(f1724,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK11)))
| ~ spl12_1
| spl12_3
| ~ spl12_5 ),
inference(duplicate_literal_removal,[],[f1708]) ).
fof(f1726,plain,
( spl12_10
| ~ spl12_1
| spl12_3
| ~ spl12_5 ),
inference(avatar_split_clause,[],[f1724,f436,f419,f412,f1216]) ).
fof(f1732,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK11))),s(tyop_2Eextreal_2Eextreal,sK9)))
| spl12_1 ),
inference(superposition,[],[f422,f166]) ).
fof(f1733,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK11))),s(tyop_2Eextreal_2Eextreal,sK9)))
| spl12_1
| ~ spl12_5 ),
inference(forward_subsumption_resolution,[],[f1732,f437]) ).
fof(f1734,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,sK10),s(tyop_2Eextreal_2Eextreal,sK9)))
| spl12_1
| ~ spl12_5
| ~ spl12_10 ),
inference(forward_demodulation,[],[f1733,f1470]) ).
fof(f1830,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_10 ),
inference(superposition,[],[f420,f1734]) ).
fof(f1845,plain,
( $false
| spl12_1
| ~ spl12_3
| spl12_4
| ~ spl12_5
| ~ spl12_10 ),
inference(forward_subsumption_resolution,[],[f1830,f440]) ).
fof(f1846,plain,
( spl12_1
| ~ spl12_3
| spl12_4
| ~ spl12_5
| ~ spl12_10 ),
inference(avatar_contradiction_clause,[],[f1845]) ).
cnf(s1,plain,
( spl12_1
| spl12_2 ),
inference(sat_conversion,[],[f417]) ).
cnf(s2,plain,
( spl12_1
| spl12_3 ),
inference(sat_conversion,[],[f421]) ).
cnf(s3,plain,
( ~ spl12_1
| ~ spl12_2
| ~ spl12_3 ),
inference(sat_conversion,[],[f425]) ).
cnf(s18,plain,
spl12_5,
inference(sat_conversion,[],[f460]) ).
cnf(s19,plain,
~ spl12_4,
inference(sat_conversion,[],[f461]) ).
cnf(s25,plain,
( spl12_1
| ~ spl12_2
| spl12_10 ),
inference(sat_conversion,[],[f1231]) ).
cnf(s29,plain,
( ~ spl12_1
| spl12_2
| spl12_10 ),
inference(sat_conversion,[],[f1270]) ).
cnf(s34,plain,
( spl12_2
| ~ spl12_3
| spl12_4
| ~ spl12_10 ),
inference(sat_conversion,[],[f1361]) ).
cnf(s39,plain,
( ~ spl12_1
| spl12_3
| ~ spl12_10 ),
inference(sat_conversion,[],[f1536]) ).
cnf(s46,plain,
( ~ spl12_1
| spl12_3
| ~ spl12_5
| spl12_10 ),
inference(sat_conversion,[],[f1726]) ).
cnf(s49,plain,
( spl12_1
| ~ spl12_3
| spl12_4
| ~ spl12_5
| ~ spl12_10 ),
inference(sat_conversion,[],[f1846]) ).
cnf(s50,plain,
spl12_1,
inference(rat,[],[s25,s49,s1,s2,s19,s18]) ).
cnf(s51,plain,
spl12_2,
inference(rat,[],[s34,s39,s29,s19,s50]) ).
cnf(s52,plain,
~ spl12_3,
inference(rat,[],[s3,s50,s51]) ).
cnf(s54,plain,
spl12_10,
inference(rat,[],[s46,s50,s18,s52]) ).
cnf(s55,plain,
$false,
inference(rat,[],[s39,s50,s52,s54]) ).
fof(f1847,plain,
$false,
inference(avatar_sat_refutation,[],[s55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP021+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n014.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 27 12:06:31 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 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
% 9.67/2.33 % (693458)Detected formulas, will run a generic FOF schedule.
% 9.67/2.33 % (693469)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4158907173:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.67/2.33 % (693469)Instruction limit reached!
% 9.67/2.33 % (693469)------------------------------
% 9.67/2.33 % (693469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.67/2.33 % (693469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/2.33 % (693469)CaDiCaL version: 2.1.3
% 9.67/2.33 % (693469)Termination reason: Instruction limit
% 9.67/2.33 % (693469)Termination phase: Saturation
% 9.67/2.33 % (693469)Time elapsed: 0.046 s
% 9.67/2.33 % (693469)Peak memory usage: 88 MB
% 9.67/2.33 % (693469)Instructions burned: 121 (million)
% 9.67/2.33 % (693468)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1801738337:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.67/2.33 % (693466)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=2930800009:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.67/2.33 % (693465)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=982745713:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.67/2.33 % (693467)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=2066600920:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.67/2.33 % (693470)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=898618689:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.67/2.33 % (693471)dis-21_1_sil=8000:lcm=predicate:random_seed=977120869: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)
% 9.67/2.33 % (693468)Instruction limit reached!
% 9.67/2.33 % (693468)------------------------------
% 9.67/2.33 % (693468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.67/2.33 % (693468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/2.33 % (693468)CaDiCaL version: 2.1.3
% 9.67/2.33 % (693468)Termination reason: Instruction limit
% 9.67/2.33 % (693468)Termination phase: Saturation
% 9.67/2.33 % (693468)Time elapsed: 0.100 s
% 9.67/2.33 % (693468)Peak memory usage: 88 MB
% 9.67/2.33 % (693468)Instructions burned: 110 (million)
% 9.67/2.33 % (693470)Instruction limit reached!
% 9.67/2.33 % (693470)------------------------------
% 9.67/2.33 % (693470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.67/2.33 % (693470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/2.33 % (693470)CaDiCaL version: 2.1.3
% 9.67/2.33 % (693470)Termination reason: Instruction limit
% 9.67/2.33 % (693470)Termination phase: Saturation
% 9.67/2.33 % (693470)Time elapsed: 0.134 s
% 9.67/2.33 % (693470)Peak memory usage: 90 MB
% 9.67/2.33 % (693470)Instructions burned: 139 (million)
% 9.67/2.33 % (693471)Instruction limit reached!
% 9.67/2.33 % (693471)------------------------------
% 9.67/2.33 % (693471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.67/2.33 % (693471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/2.33 % (693471)CaDiCaL version: 2.1.3
% 9.67/2.33 % (693471)Termination reason: Instruction limit
% 9.67/2.33 % (693471)Termination phase: Saturation
% 9.67/2.33 % (693471)Time elapsed: 0.121 s
% 9.67/2.33 % (693471)Peak memory usage: 90 MB
% 9.67/2.33 % (693471)Instructions burned: 129 (million)
% 9.67/2.33 % (693475)lrs+10_1_sil=8000:sp=occurrence:random_seed=273014082:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 9.67/2.33 % (693475)Instruction limit reached!
% 9.67/2.33 % (693475)------------------------------
% 9.67/2.33 % (693475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.67/2.33 % (693475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/2.33 % (693475)CaDiCaL version: 2.1.3
% 9.67/2.33 % (693475)Termination reason: Instruction limit
% 9.67/2.33 % (693475)Termination phase: Saturation
% 9.67/2.33 % (693475)Time elapsed: 0.107 s
% 9.67/2.33 % (693475)Peak memory usage: 90 MB
% 9.67/2.33 % (693475)Instructions burned: 287 (million)
% 9.67/2.33 % (693482)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2602259062:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 9.67/2.33 % (693483)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3022306046:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 9.67/2.33 % (693484)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=1763767860:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 9.67/2.33 % (693482)Instruction limit reached!
% 9.67/2.33 % (693482)------------------------------
% 9.67/2.33 % (693482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.67/2.33 % (693482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/2.33 % (693482)CaDiCaL version: 2.1.3
% 9.67/2.33 % (693482)Termination reason: Instruction limit
% 9.67/2.33 % (693482)Termination phase: Saturation
% 9.67/2.33 % (693482)Time elapsed: 0.083 s
% 9.67/2.33 % (693482)Peak memory usage: 90 MB
% 9.67/2.33 % (693482)Instructions burned: 157 (million)
% 9.67/2.33 % (693486)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1473598944:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 9.67/2.33 % (693486)Instruction limit reached!
% 9.67/2.33 % (693486)------------------------------
% 9.67/2.33 % (693486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.67/2.33 % (693486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/2.33 % (693486)CaDiCaL version: 2.1.3
% 9.67/2.33 % (693486)Termination reason: Instruction limit
% 9.67/2.33 % (693486)Termination phase: Saturation
% 9.67/2.33 % (693486)Time elapsed: 0.082 s
% 9.67/2.33 % (693486)Peak memory usage: 89 MB
% 9.67/2.33 % (693486)Instructions burned: 296 (million)
% 9.67/2.33 % (693483)Instruction limit reached!
% 9.67/2.33 % (693483)------------------------------
% 9.67/2.33 % (693483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.67/2.33 % (693483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/2.33 % (693483)CaDiCaL version: 2.1.3
% 9.67/2.33 % (693483)Termination reason: Instruction limit
% 9.67/2.33 % (693483)Termination phase: Saturation
% 9.67/2.33 % (693483)Time elapsed: 0.192 s
% 9.67/2.33 % (693483)Peak memory usage: 90 MB
% 9.67/2.33 % (693483)Instructions burned: 326 (million)
% 9.67/2.33 % (693484)Instruction limit reached!
% 9.67/2.33 % (693484)------------------------------
% 9.67/2.33 % (693484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.67/2.33 % (693484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/2.33 % (693484)CaDiCaL version: 2.1.3
% 9.67/2.33 % (693484)Termination reason: Instruction limit
% 9.67/2.33 % (693484)Termination phase: Saturation
% 9.67/2.33 % (693484)Time elapsed: 0.163 s
% 9.67/2.33 % (693484)Peak memory usage: 91 MB
% 9.67/2.33 % (693484)Instructions burned: 249 (million)
% 9.67/2.33 % (693490)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=678012528:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 9.67/2.33 % (693493)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1482504426:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 9.67/2.33 % (693495)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1917106612:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 9.67/2.33 % (693494)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3169354647:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 9.67/2.33 % (693495)Instruction limit reached!
% 9.67/2.33 % (693495)------------------------------
% 9.67/2.33 % (693495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.67/2.33 % (693495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/2.33 % (693495)CaDiCaL version: 2.1.3
% 9.67/2.33 % (693495)Termination reason: Instruction limit
% 9.67/2.33 % (693495)Termination phase: Saturation
% 9.67/2.33 % (693495)Time elapsed: 0.029 s
% 9.67/2.33 % (693495)Peak memory usage: 89 MB
% 9.67/2.33 % (693495)Instructions burned: 117 (million)
% 9.67/2.33 % (693493)Instruction limit reached!
% 9.67/2.33 % (693493)------------------------------
% 9.67/2.33 % (693493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.67/2.33 % (693493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/2.33 % (693493)CaDiCaL version: 2.1.3
% 9.67/2.33 % (693493)Termination reason: Instruction limit
% 9.67/2.33 % (693493)Termination phase: Saturation
% 9.67/2.33 % (693493)Time elapsed: 0.058 s
% 9.67/2.33 % (693493)Peak memory usage: 89 MB
% 9.67/2.33 % (693493)Instructions burned: 114 (million)
% 9.67/2.33 % (693494)Instruction limit reached!
% 9.67/2.33 % (693494)------------------------------
% 9.67/2.33 % (693494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.67/2.33 % (693494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/2.33 % (693494)CaDiCaL version: 2.1.3
% 9.67/2.33 % (693494)Termination reason: Instruction limit
% 9.67/2.33 % (693494)Termination phase: Saturation
% 9.67/2.33 % (693494)Time elapsed: 0.054 s
% 9.67/2.33 % (693494)Peak memory usage: 88 MB
% 9.67/2.33 % (693494)Instructions burned: 129 (million)
% 9.67/2.33 % (693526)lrs+10_1_sil=8000:sp=occurrence:random_seed=3585850057:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 9.67/2.33 % (693466)First to succeed.
% 9.67/2.33 % (693466)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-693458"
% 9.67/2.33 % (693541)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1037371504:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 9.67/2.33 % (693540)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1692938119:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 9.67/2.33 % (693467)Also succeeded, but the first one will report.
% 9.67/2.33 % (693526)Also succeeded, but the first one will report.
% 9.67/2.33 % (693466)Refutation found. Thanks to Tanya!
% 9.67/2.33 % SZS status Theorem for theBenchmark
% 9.67/2.33 % SZS output start Proof for theBenchmark
% See solution above
% 10.10/2.53 % (693466)------------------------------
% 10.10/2.53 % (693466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.10/2.53 % (693466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.10/2.53 % (693466)CaDiCaL version: 2.1.3
% 10.10/2.53 % (693466)Termination reason: Refutation
% 10.10/2.53 % (693466)Time elapsed: 0.812 s
% 10.10/2.53 % (693466)Peak memory usage: 130 MB
% 10.10/2.53 % (693466)Instructions burned: 1113 (million)
% 10.10/2.53 % (693466)------------------------------
% 10.10/2.53 % (693466)------------------------------
% 10.10/2.53 % (693458)Success in time 1.325 s
% 10.10/2.53 % Vampire exiting
%------------------------------------------------------------------------------