%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU232+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:47:54 PM UTC 2026
% Result : Theorem 10.22s 2.34s
% Output : Refutation 11.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 18
% Syntax : Number of formulae : 154 ( 17 unt; 11 def)
% Number of atoms : 469 ( 34 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 508 ( 193 ~; 246 |; 44 &)
% ( 18 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 12 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 122 ( 0 sgn 110 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f7,axiom,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( in(X1,X0)
=> subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_ordinal1) ).
fof(f8,axiom,
! [X0] :
( epsilon_connected(X0)
<=> ! [X1,X2] :
~ ( in(X1,X0)
& in(X2,X0)
& ~ in(X1,X2)
& X1 != X2
& ~ in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_ordinal1) ).
fof(f9,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f10,axiom,
! [X0] :
( ordinal(X0)
<=> ( epsilon_transitive(X0)
& epsilon_connected(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_ordinal1) ).
fof(f33,conjecture,
! [X0,X1] :
( ordinal(X1)
=> ( in(X0,X1)
=> ordinal(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_ordinal1) ).
fof(f34,negated_conjecture,
~ ! [X0,X1] :
( ordinal(X1)
=> ( in(X0,X1)
=> ordinal(X0) ) ),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f37,axiom,
! [X0,X1,X2] :
~ ( in(X0,X1)
& in(X1,X2)
& in(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_ordinal1) ).
fof(f52,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f60,plain,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f61,plain,
! [X0] :
( epsilon_connected(X0)
<=> ! [X1,X2] :
( ~ in(X1,X0)
| ~ in(X2,X0)
| in(X1,X2)
| X1 = X2
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f62,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f66,plain,
? [X0,X1] :
( ~ ordinal(X0)
& in(X0,X1)
& ordinal(X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f67,plain,
? [X0,X1] :
( ~ ordinal(X0)
& in(X0,X1)
& ordinal(X1) ),
inference(flattening,[],[f66]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ~ in(X0,X1)
| ~ in(X1,X2)
| ~ in(X2,X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f78,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f79,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(rectify,[],[f78]) ).
fof(f80,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ( ~ subset(sK0(X0),X0)
& in(sK0(X0),X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f79]) ).
fof(f81,plain,
! [X0] :
( ( epsilon_connected(X0)
| ? [X1,X2] :
( in(X1,X0)
& in(X2,X0)
& ~ in(X1,X2)
& X1 != X2
& ~ in(X2,X1) ) )
& ( ! [X1,X2] :
( ~ in(X1,X0)
| ~ in(X2,X0)
| in(X1,X2)
| X1 = X2
| in(X2,X1) )
| ~ epsilon_connected(X0) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f82,plain,
! [X0] :
( ( epsilon_connected(X0)
| ? [X1,X2] :
( in(X1,X0)
& in(X2,X0)
& ~ in(X1,X2)
& X1 != X2
& ~ in(X2,X1) ) )
& ( ! [X3,X4] :
( ~ in(X3,X0)
| ~ in(X4,X0)
| in(X3,X4)
| X3 = X4
| in(X4,X3) )
| ~ epsilon_connected(X0) ) ),
inference(rectify,[],[f81]) ).
fof(f83,plain,
! [X0] :
( ( epsilon_connected(X0)
| ( in(sK1(X0),X0)
& in(sK2(X0),X0)
& ~ in(sK1(X0),sK2(X0))
& sK1(X0) != sK2(X0)
& ~ in(sK2(X0),sK1(X0)) ) )
& ( ! [X3,X4] :
( ~ in(X3,X0)
| ~ in(X4,X0)
| in(X3,X4)
| X3 = X4
| in(X4,X3) )
| ~ epsilon_connected(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X1,sK1(X0)),skolemize(X2,sK2(X0))],[f82]) ).
fof(f84,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f85,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f84]) ).
fof(f86,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK3(X0,X1),X1)
& in(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f85]) ).
fof(f87,plain,
! [X0] :
( ( ordinal(X0)
| ~ epsilon_transitive(X0)
| ~ epsilon_connected(X0) )
& ( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
| ~ ordinal(X0) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f88,plain,
! [X0] :
( ( ordinal(X0)
| ~ epsilon_transitive(X0)
| ~ epsilon_connected(X0) )
& ( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
| ~ ordinal(X0) ) ),
inference(flattening,[],[f87]) ).
fof(f104,plain,
( ~ ordinal(sK16)
& in(sK16,sK17)
& ordinal(sK17) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17]),skolemize(X0,sK16),skolemize(X1,sK17)],[f67]) ).
fof(f107,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f115,plain,
! [X2,X0] :
( ~ in(X2,X0)
| subset(X2,X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f116,plain,
! [X0] :
( in(sK0(X0),X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f117,plain,
! [X0] :
( ~ subset(sK0(X0),X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f118,plain,
! [X3,X0,X4] :
( ~ in(X4,X0)
| ~ in(X3,X0)
| in(X3,X4)
| X3 = X4
| in(X4,X3)
| ~ epsilon_connected(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f119,plain,
! [X0] :
( ~ in(sK2(X0),sK1(X0))
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f120,plain,
! [X0] :
( sK1(X0) != sK2(X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f121,plain,
! [X0] :
( ~ in(sK1(X0),sK2(X0))
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f122,plain,
! [X0] :
( in(sK2(X0),X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f123,plain,
! [X0] :
( in(sK1(X0),X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f124,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f125,plain,
! [X0,X1] :
( in(sK3(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f126,plain,
! [X0,X1] :
( ~ in(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f127,plain,
! [X0] :
( ~ ordinal(X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f128,plain,
! [X0] :
( ~ ordinal(X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f129,plain,
! [X0] :
( ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0)
| ordinal(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f164,plain,
ordinal(sK17),
inference(cnf_transformation,[],[f104]) ).
fof(f165,plain,
in(sK16,sK17),
inference(cnf_transformation,[],[f104]) ).
fof(f166,plain,
~ ordinal(sK16),
inference(cnf_transformation,[],[f104]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ in(X2,X0)
| ~ in(X1,X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f183,plain,
epsilon_connected(sK17),
inference(resolution,[],[f127,f164]) ).
fof(f184,plain,
epsilon_transitive(sK17),
inference(resolution,[],[f128,f164]) ).
fof(f185,plain,
( subset(sK16,sK17)
| ~ epsilon_transitive(sK17) ),
inference(resolution,[],[f115,f165]) ).
fof(f186,plain,
subset(sK16,sK17),
inference(forward_subsumption_resolution,[],[f185,f184]) ).
fof(f193,plain,
! [X0] :
( ~ in(X0,sK16)
| in(X0,sK17) ),
inference(resolution,[],[f124,f186]) ).
fof(f198,plain,
! [X2,X0,X1] :
( ~ in(X2,sK3(X0,X1))
| subset(X0,X1)
| ~ in(X0,X2) ),
inference(resolution,[],[f125,f169]) ).
fof(f205,plain,
( in(sK1(sK16),sK17)
| epsilon_connected(sK16) ),
inference(resolution,[],[f193,f123]) ).
fof(f206,plain,
! [X0] :
( in(sK3(sK16,X0),sK17)
| subset(sK16,X0) ),
inference(resolution,[],[f193,f125]) ).
fof(f208,definition,
( spl19_1
<=> epsilon_connected(sK16) ),
introduced(definition,[new_symbols(definition,[spl19_1])],[avatar_definition]) ).
fof(f209,plain,
( ~ epsilon_connected(sK16)
| spl19_1 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f210,plain,
( epsilon_connected(sK16)
| ~ spl19_1 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f212,definition,
( spl19_2
<=> in(sK1(sK16),sK17) ),
introduced(definition,[new_symbols(definition,[spl19_2])],[avatar_definition]) ).
fof(f214,plain,
( in(sK1(sK16),sK17)
| ~ spl19_2 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f215,plain,
( spl19_1
| spl19_2 ),
inference(avatar_split_clause,[],[f205,f212,f208]) ).
fof(f223,plain,
( epsilon_connected(sK16)
| in(sK2(sK16),sK17) ),
inference(resolution,[],[f122,f193]) ).
fof(f226,definition,
( spl19_3
<=> in(sK2(sK16),sK17) ),
introduced(definition,[new_symbols(definition,[spl19_3])],[avatar_definition]) ).
fof(f228,plain,
( in(sK2(sK16),sK17)
| ~ spl19_3 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f229,plain,
( spl19_3
| spl19_1 ),
inference(avatar_split_clause,[],[f223,f208,f226]) ).
fof(f233,plain,
( ~ epsilon_transitive(sK16)
| ordinal(sK16)
| ~ spl19_1 ),
inference(resolution,[],[f210,f129]) ).
fof(f234,plain,
( ~ epsilon_transitive(sK16)
| ~ spl19_1 ),
inference(forward_subsumption_resolution,[],[f233,f166]) ).
fof(f261,plain,
( epsilon_transitive(sK16)
| in(sK0(sK16),sK17) ),
inference(resolution,[],[f116,f193]) ).
fof(f279,plain,
! [X0,X1] :
( ~ in(X0,sK17)
| in(X0,sK3(sK16,X1))
| sK3(sK16,X1) = X0
| in(sK3(sK16,X1),X0)
| ~ epsilon_connected(sK17)
| subset(sK16,X1) ),
inference(resolution,[],[f118,f206]) ).
fof(f282,plain,
! [X0,X1] :
( in(sK3(sK16,X1),X0)
| in(X0,sK3(sK16,X1))
| sK3(sK16,X1) = X0
| ~ in(X0,sK17)
| subset(sK16,X1) ),
inference(forward_subsumption_resolution,[],[f279,f183]) ).
fof(f391,definition,
( spl19_20
<=> in(sK0(sK16),sK16) ),
introduced(definition,[new_symbols(definition,[spl19_20])],[avatar_definition]) ).
fof(f392,plain,
( ~ in(sK0(sK16),sK16)
| spl19_20 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f393,plain,
( in(sK0(sK16),sK16)
| ~ spl19_20 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f405,definition,
( spl19_23
<=> in(sK0(sK16),sK17) ),
introduced(definition,[new_symbols(definition,[spl19_23])],[avatar_definition]) ).
fof(f407,plain,
( in(sK0(sK16),sK17)
| ~ spl19_23 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f409,definition,
( spl19_24
<=> epsilon_transitive(sK16) ),
introduced(definition,[new_symbols(definition,[spl19_24])],[avatar_definition]) ).
fof(f410,plain,
( ~ epsilon_transitive(sK16)
| spl19_24 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f412,plain,
( spl19_23
| spl19_24 ),
inference(avatar_split_clause,[],[f261,f409,f405]) ).
fof(f433,plain,
( ~ spl19_24
| ~ spl19_1 ),
inference(avatar_split_clause,[],[f234,f208,f409]) ).
fof(f461,plain,
( subset(sK0(sK16),sK17)
| ~ epsilon_transitive(sK17)
| ~ spl19_23 ),
inference(resolution,[],[f407,f115]) ).
fof(f462,plain,
( subset(sK0(sK16),sK17)
| ~ spl19_23 ),
inference(forward_subsumption_resolution,[],[f461,f184]) ).
fof(f491,plain,
! [X0,X1] :
( ~ in(X0,sK3(X0,X1))
| subset(X0,X1) ),
inference(resolution,[],[f107,f125]) ).
fof(f497,plain,
( epsilon_transitive(sK16)
| spl19_20 ),
inference(resolution,[],[f392,f116]) ).
fof(f498,plain,
( $false
| spl19_20
| spl19_24 ),
inference(forward_subsumption_resolution,[],[f497,f410]) ).
fof(f499,plain,
( spl19_20
| spl19_24 ),
inference(avatar_contradiction_clause,[],[f498]) ).
fof(f601,plain,
! [X0] :
( in(X0,sK3(sK16,X0))
| sK3(sK16,X0) = X0
| ~ in(X0,sK17)
| subset(sK16,X0)
| subset(sK16,X0) ),
inference(resolution,[],[f282,f126]) ).
fof(f627,plain,
! [X0] :
( in(X0,sK3(sK16,X0))
| sK3(sK16,X0) = X0
| ~ in(X0,sK17)
| subset(sK16,X0) ),
inference(duplicate_literal_removal,[],[f601]) ).
fof(f642,plain,
! [X0] :
( subset(sK16,X0)
| ~ in(sK16,X0)
| sK3(sK16,X0) = X0
| ~ in(X0,sK17)
| subset(sK16,X0) ),
inference(resolution,[],[f198,f627]) ).
fof(f650,plain,
! [X0] :
( ~ in(sK16,X0)
| subset(sK16,X0)
| sK3(sK16,X0) = X0
| ~ in(X0,sK17) ),
inference(duplicate_literal_removal,[],[f642]) ).
fof(f793,plain,
( ! [X0] :
( ~ in(X0,sK17)
| in(X0,sK1(sK16))
| sK1(sK16) = X0
| in(sK1(sK16),X0)
| ~ epsilon_connected(sK17) )
| ~ spl19_2 ),
inference(resolution,[],[f214,f118]) ).
fof(f798,plain,
( ! [X0] :
( in(sK1(sK16),X0)
| in(X0,sK1(sK16))
| sK1(sK16) = X0
| ~ in(X0,sK17) )
| ~ spl19_2 ),
inference(forward_subsumption_resolution,[],[f793,f183]) ).
fof(f827,plain,
( in(sK1(sK16),sK2(sK16))
| sK1(sK16) = sK2(sK16)
| ~ in(sK2(sK16),sK17)
| epsilon_connected(sK16)
| ~ spl19_2 ),
inference(resolution,[],[f798,f119]) ).
fof(f832,plain,
( sK1(sK16) = sK2(sK16)
| ~ in(sK2(sK16),sK17)
| epsilon_connected(sK16)
| ~ spl19_2 ),
inference(forward_subsumption_resolution,[],[f827,f121]) ).
fof(f833,plain,
( ~ in(sK2(sK16),sK17)
| epsilon_connected(sK16)
| ~ spl19_2 ),
inference(forward_subsumption_resolution,[],[f832,f120]) ).
fof(f834,plain,
( epsilon_connected(sK16)
| ~ spl19_2
| ~ spl19_3 ),
inference(forward_subsumption_resolution,[],[f833,f228]) ).
fof(f835,plain,
( $false
| spl19_1
| ~ spl19_2
| ~ spl19_3 ),
inference(forward_subsumption_resolution,[],[f834,f209]) ).
fof(f836,plain,
( spl19_1
| ~ spl19_2
| ~ spl19_3 ),
inference(avatar_contradiction_clause,[],[f835]) ).
fof(f872,plain,
( ! [X0] :
( ~ in(X0,sK0(sK16))
| in(X0,sK17) )
| ~ spl19_23 ),
inference(resolution,[],[f462,f124]) ).
fof(f1051,plain,
( ! [X0] :
( in(sK3(sK0(sK16),X0),sK17)
| subset(sK0(sK16),X0) )
| ~ spl19_23 ),
inference(resolution,[],[f872,f125]) ).
fof(f1227,plain,
( ! [X0,X1] :
( subset(sK0(sK16),X0)
| ~ in(X1,sK17)
| in(X1,sK3(sK0(sK16),X0))
| sK3(sK0(sK16),X0) = X1
| in(sK3(sK0(sK16),X0),X1)
| ~ epsilon_connected(sK17) )
| ~ spl19_23 ),
inference(resolution,[],[f1051,f118]) ).
fof(f1234,plain,
( ! [X0,X1] :
( in(sK3(sK0(sK16),X0),X1)
| in(X1,sK3(sK0(sK16),X0))
| ~ in(X1,sK17)
| sK3(sK0(sK16),X0) = X1
| subset(sK0(sK16),X0) )
| ~ spl19_23 ),
inference(forward_subsumption_resolution,[],[f1227,f183]) ).
fof(f1808,plain,
( ! [X0] :
( in(X0,sK3(sK0(sK16),X0))
| ~ in(X0,sK17)
| sK3(sK0(sK16),X0) = X0
| subset(sK0(sK16),X0)
| subset(sK0(sK16),X0) )
| ~ spl19_23 ),
inference(resolution,[],[f1234,f126]) ).
fof(f1843,plain,
( ! [X0] :
( in(X0,sK3(sK0(sK16),X0))
| ~ in(X0,sK17)
| sK3(sK0(sK16),X0) = X0
| subset(sK0(sK16),X0) )
| ~ spl19_23 ),
inference(duplicate_literal_removal,[],[f1808]) ).
fof(f1856,plain,
( ~ in(sK16,sK17)
| sK16 = sK3(sK0(sK16),sK16)
| subset(sK0(sK16),sK16)
| subset(sK16,sK3(sK0(sK16),sK16))
| sK3(sK0(sK16),sK16) = sK3(sK16,sK3(sK0(sK16),sK16))
| ~ in(sK3(sK0(sK16),sK16),sK17)
| ~ spl19_23 ),
inference(resolution,[],[f1843,f650]) ).
fof(f1860,plain,
( ~ in(sK16,sK17)
| sK16 = sK3(sK0(sK16),sK16)
| subset(sK0(sK16),sK16)
| subset(sK16,sK3(sK0(sK16),sK16))
| sK3(sK0(sK16),sK16) = sK3(sK16,sK3(sK0(sK16),sK16))
| ~ spl19_23 ),
inference(forward_subsumption_resolution,[],[f1856,f1051]) ).
fof(f3381,plain,
( sK16 = sK3(sK0(sK16),sK16)
| subset(sK0(sK16),sK16)
| subset(sK16,sK3(sK0(sK16),sK16))
| sK3(sK0(sK16),sK16) = sK3(sK16,sK3(sK0(sK16),sK16))
| ~ spl19_23 ),
inference(forward_subsumption_resolution,[],[f1860,f165]) ).
fof(f3585,definition,
( spl19_219
<=> sK3(sK0(sK16),sK16) = sK3(sK16,sK3(sK0(sK16),sK16)) ),
introduced(definition,[new_symbols(definition,[spl19_219])],[avatar_definition]) ).
fof(f3587,plain,
( sK3(sK0(sK16),sK16) = sK3(sK16,sK3(sK0(sK16),sK16))
| ~ spl19_219 ),
inference(avatar_component_clause,[],[f3585]) ).
fof(f3589,definition,
( spl19_220
<=> subset(sK16,sK3(sK0(sK16),sK16)) ),
introduced(definition,[new_symbols(definition,[spl19_220])],[avatar_definition]) ).
fof(f3591,plain,
( subset(sK16,sK3(sK0(sK16),sK16))
| ~ spl19_220 ),
inference(avatar_component_clause,[],[f3589]) ).
fof(f3593,definition,
( spl19_221
<=> subset(sK0(sK16),sK16) ),
introduced(definition,[new_symbols(definition,[spl19_221])],[avatar_definition]) ).
fof(f3595,plain,
( subset(sK0(sK16),sK16)
| ~ spl19_221 ),
inference(avatar_component_clause,[],[f3593]) ).
fof(f3597,definition,
( spl19_222
<=> sK16 = sK3(sK0(sK16),sK16) ),
introduced(definition,[new_symbols(definition,[spl19_222])],[avatar_definition]) ).
fof(f3599,plain,
( sK16 = sK3(sK0(sK16),sK16)
| ~ spl19_222 ),
inference(avatar_component_clause,[],[f3597]) ).
fof(f3600,plain,
( spl19_219
| spl19_220
| spl19_221
| spl19_222
| ~ spl19_23 ),
inference(avatar_split_clause,[],[f3381,f405,f3597,f3593,f3589,f3585]) ).
fof(f4117,plain,
( in(sK3(sK0(sK16),sK16),sK16)
| subset(sK16,sK3(sK0(sK16),sK16))
| ~ spl19_219 ),
inference(superposition,[],[f125,f3587]) ).
fof(f4407,definition,
( spl19_278
<=> in(sK3(sK0(sK16),sK16),sK16) ),
introduced(definition,[new_symbols(definition,[spl19_278])],[avatar_definition]) ).
fof(f4409,plain,
( in(sK3(sK0(sK16),sK16),sK16)
| ~ spl19_278 ),
inference(avatar_component_clause,[],[f4407]) ).
fof(f4410,plain,
( spl19_220
| spl19_278
| ~ spl19_219 ),
inference(avatar_split_clause,[],[f4117,f3585,f4407,f3589]) ).
fof(f4452,plain,
( ! [X0] :
( in(X0,sK3(sK0(sK16),sK16))
| ~ in(X0,sK16) )
| ~ spl19_220 ),
inference(resolution,[],[f3591,f124]) ).
fof(f4714,plain,
( ~ in(sK0(sK16),sK16)
| subset(sK0(sK16),sK16)
| ~ spl19_220 ),
inference(resolution,[],[f4452,f491]) ).
fof(f4765,plain,
( subset(sK0(sK16),sK16)
| ~ spl19_20
| ~ spl19_220 ),
inference(forward_subsumption_resolution,[],[f4714,f393]) ).
fof(f4771,plain,
( spl19_221
| ~ spl19_20
| ~ spl19_220 ),
inference(avatar_split_clause,[],[f4765,f3589,f391,f3593]) ).
fof(f4776,plain,
( subset(sK0(sK16),sK16)
| ~ spl19_278 ),
inference(resolution,[],[f4409,f126]) ).
fof(f4786,plain,
( spl19_221
| ~ spl19_278 ),
inference(avatar_split_clause,[],[f4776,f4407,f3593]) ).
fof(f4799,plain,
( ~ in(sK0(sK16),sK16)
| subset(sK0(sK16),sK16)
| ~ spl19_222 ),
inference(superposition,[],[f491,f3599]) ).
fof(f4806,plain,
( subset(sK0(sK16),sK16)
| ~ spl19_20
| ~ spl19_222 ),
inference(forward_subsumption_resolution,[],[f4799,f393]) ).
fof(f4813,plain,
( spl19_221
| ~ spl19_20
| ~ spl19_222 ),
inference(avatar_split_clause,[],[f4806,f3597,f391,f3593]) ).
fof(f4827,plain,
( epsilon_transitive(sK16)
| ~ spl19_221 ),
inference(resolution,[],[f3595,f117]) ).
fof(f4829,plain,
( $false
| spl19_24
| ~ spl19_221 ),
inference(forward_subsumption_resolution,[],[f4827,f410]) ).
fof(f4830,plain,
( spl19_24
| ~ spl19_221 ),
inference(avatar_contradiction_clause,[],[f4829]) ).
cnf(s1,plain,
( spl19_1
| spl19_2 ),
inference(sat_conversion,[],[f215]) ).
cnf(s2,plain,
( spl19_1
| spl19_3 ),
inference(sat_conversion,[],[f229]) ).
cnf(s13,plain,
( spl19_23
| spl19_24 ),
inference(sat_conversion,[],[f412]) ).
cnf(s15,plain,
( ~ spl19_1
| ~ spl19_24 ),
inference(sat_conversion,[],[f433]) ).
cnf(s18,plain,
( spl19_20
| spl19_24 ),
inference(sat_conversion,[],[f499]) ).
cnf(s24,plain,
( spl19_1
| ~ spl19_2
| ~ spl19_3 ),
inference(sat_conversion,[],[f836]) ).
cnf(s191,plain,
( ~ spl19_23
| spl19_219
| spl19_220
| spl19_221
| spl19_222 ),
inference(sat_conversion,[],[f3600]) ).
cnf(s271,plain,
( ~ spl19_219
| spl19_220
| spl19_278 ),
inference(sat_conversion,[],[f4410]) ).
cnf(s306,plain,
( ~ spl19_20
| ~ spl19_220
| spl19_221 ),
inference(sat_conversion,[],[f4771]) ).
cnf(s308,plain,
( spl19_221
| ~ spl19_278 ),
inference(sat_conversion,[],[f4786]) ).
cnf(s311,plain,
( ~ spl19_20
| spl19_221
| ~ spl19_222 ),
inference(sat_conversion,[],[f4813]) ).
cnf(s315,plain,
( spl19_24
| ~ spl19_221 ),
inference(sat_conversion,[],[f4830]) ).
cnf(s320,plain,
spl19_1,
inference(rat,[],[s24,s1,s2]) ).
cnf(s321,plain,
~ spl19_24,
inference(rat,[],[s15,s320]) ).
cnf(s322,plain,
~ spl19_221,
inference(rat,[],[s315,s321]) ).
cnf(s325,plain,
spl19_20,
inference(rat,[],[s18,s321]) ).
cnf(s326,plain,
spl19_23,
inference(rat,[],[s13,s321]) ).
cnf(s327,plain,
~ spl19_278,
inference(rat,[],[s308,s322]) ).
cnf(s328,plain,
~ spl19_222,
inference(rat,[],[s311,s322,s325]) ).
cnf(s329,plain,
~ spl19_220,
inference(rat,[],[s306,s322,s325]) ).
cnf(s333,plain,
spl19_219,
inference(rat,[],[s191,s328,s322,s329,s326]) ).
cnf(s334,plain,
$false,
inference(rat,[],[s271,s327,s329,s333]) ).
fof(f4831,plain,
$false,
inference(avatar_sat_refutation,[],[s334]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU232+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n001.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 28 04:18:48 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 10.22/2.34 % (11572)Detected formulas, will run a generic FOF schedule.
% 10.22/2.34 % (11581)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3267414968:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.22/2.34 % (11582)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=809305280:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.22/2.34 % (11583)dis-21_1_sil=8000:lcm=predicate:random_seed=3481670086: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)
% 10.22/2.34 % (11580)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2938995604:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.22/2.34 % (11577)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=3226722657:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.22/2.34 % (11578)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=50935029:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.22/2.34 % (11579)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=2559042756:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.22/2.34 % (11580)Refutation not found, incomplete strategy
% 10.22/2.34 % (11580)------------------------------
% 10.22/2.34 % (11580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.34 % (11580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.34 % (11580)CaDiCaL version: 2.1.3
% 10.22/2.34 % (11580)Termination reason: Refutation not found, incomplete strategy
% 10.22/2.34 % (11580)Time elapsed: 0.001 s
% 10.22/2.34 % (11580)Peak memory usage: 88 MB
% 10.22/2.34 % (11581)Instruction limit reached!
% 10.22/2.34 % (11581)------------------------------
% 10.22/2.34 % (11581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.34 % (11581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.34 % (11581)CaDiCaL version: 2.1.3
% 10.22/2.34 % (11581)Termination reason: Instruction limit
% 10.22/2.34 % (11581)Termination phase: Saturation
% 10.22/2.34 % (11581)Time elapsed: 0.037 s
% 10.22/2.34 % (11581)Peak memory usage: 88 MB
% 10.22/2.34 % (11581)Instructions burned: 127 (million)
% 10.22/2.34 % (11582)Instruction limit reached!
% 10.22/2.34 % (11582)------------------------------
% 10.22/2.34 % (11582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.34 % (11582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.34 % (11582)CaDiCaL version: 2.1.3
% 10.22/2.34 % (11582)Termination reason: Instruction limit
% 10.22/2.34 % (11582)Termination phase: Saturation
% 10.22/2.34 % (11582)Time elapsed: 0.062 s
% 10.22/2.34 % (11582)Peak memory usage: 90 MB
% 10.22/2.34 % (11582)Instructions burned: 139 (million)
% 10.22/2.34 % (11583)Instruction limit reached!
% 10.22/2.34 % (11583)------------------------------
% 10.22/2.34 % (11583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.34 % (11583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.34 % (11583)CaDiCaL version: 2.1.3
% 10.22/2.34 % (11583)Termination reason: Instruction limit
% 10.22/2.34 % (11583)Termination phase: Saturation
% 10.22/2.34 % (11583)Time elapsed: 0.075 s
% 10.22/2.34 % (11583)Peak memory usage: 90 MB
% 10.22/2.34 % (11583)Instructions burned: 130 (million)
% 10.22/2.34 % (11591)lrs+10_1_sil=8000:sp=occurrence:random_seed=343748328:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.22/2.34 % (11592)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1813512639:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.22/2.34 % (11592)Refutation not found, incomplete strategy
% 10.22/2.34 % (11592)------------------------------
% 10.22/2.34 % (11592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.34 % (11592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.34 % (11592)CaDiCaL version: 2.1.3
% 10.22/2.34 % (11592)Termination reason: Refutation not found, incomplete strategy
% 10.22/2.34 % (11592)Time elapsed: 0.001 s
% 10.22/2.34 % (11592)Peak memory usage: 88 MB
% 10.22/2.34 % (11592)Instructions burned: 1 (million)
% 10.22/2.34 % (11593)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4097562592:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.22/2.34 % (11580)------------------------------
% 10.22/2.34 % (11580)------------------------------
% 10.22/2.34 % (11592)------------------------------
% 10.22/2.34 % (11592)------------------------------
% 10.22/2.34 % (11591)Instruction limit reached!
% 10.22/2.34 % (11591)------------------------------
% 10.22/2.34 % (11591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.34 % (11591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.34 % (11591)CaDiCaL version: 2.1.3
% 10.22/2.34 % (11591)Termination reason: Instruction limit
% 10.22/2.34 % (11591)Termination phase: Saturation
% 10.22/2.34 % (11591)Time elapsed: 0.178 s
% 10.22/2.34 % (11591)Peak memory usage: 91 MB
% 10.22/2.34 % (11591)Instructions burned: 286 (million)
% 10.22/2.34 % (11597)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=2888554294:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 10.22/2.34 % (11598)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=46491128:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 10.22/2.34 % (11593)Instruction limit reached!
% 10.22/2.34 % (11593)------------------------------
% 10.22/2.34 % (11593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.34 % (11593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.34 % (11593)CaDiCaL version: 2.1.3
% 10.22/2.34 % (11593)Termination reason: Instruction limit
% 10.22/2.34 % (11593)Termination phase: Saturation
% 10.22/2.34 % (11593)Time elapsed: 0.211 s
% 10.22/2.34 % (11593)Peak memory usage: 91 MB
% 10.22/2.34 % (11593)Instructions burned: 326 (million)
% 10.22/2.34 % (11599)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2305473888:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 10.22/2.34 % (11598)Instruction limit reached!
% 10.22/2.34 % (11598)------------------------------
% 10.22/2.34 % (11598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.34 % (11598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.34 % (11598)CaDiCaL version: 2.1.3
% 10.22/2.34 % (11598)Termination reason: Instruction limit
% 10.22/2.34 % (11598)Termination phase: Saturation
% 10.22/2.34 % (11598)Time elapsed: 0.088 s
% 10.22/2.34 % (11598)Peak memory usage: 88 MB
% 10.22/2.34 % (11598)Instructions burned: 298 (million)
% 10.22/2.34 % (11597)Instruction limit reached!
% 10.22/2.34 % (11597)------------------------------
% 10.22/2.34 % (11597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.34 % (11597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.34 % (11597)CaDiCaL version: 2.1.3
% 10.22/2.34 % (11597)Termination reason: Instruction limit
% 10.22/2.34 % (11597)Termination phase: Saturation
% 10.22/2.34 % (11597)Time elapsed: 0.139 s
% 10.22/2.34 % (11597)Peak memory usage: 91 MB
% 10.22/2.34 % (11597)Instructions burned: 250 (million)
% 10.22/2.34 % (11602)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=202391813:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 10.22/2.34 % (11604)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=150231730:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 10.22/2.34 % (11604)Instruction limit reached!
% 10.22/2.34 % (11604)------------------------------
% 10.22/2.34 % (11604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.34 % (11604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.34 % (11604)CaDiCaL version: 2.1.3
% 10.22/2.34 % (11604)Termination reason: Instruction limit
% 10.22/2.34 % (11604)Termination phase: Saturation
% 10.22/2.34 % (11604)Time elapsed: 0.034 s
% 10.22/2.34 % (11604)Peak memory usage: 89 MB
% 10.22/2.34 % (11604)Instructions burned: 127 (million)
% 10.22/2.34 % (11602)Instruction limit reached!
% 10.22/2.34 % (11602)------------------------------
% 10.22/2.34 % (11602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.34 % (11602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.34 % (11602)CaDiCaL version: 2.1.3
% 10.22/2.34 % (11602)Termination reason: Instruction limit
% 10.22/2.34 % (11602)Termination phase: Saturation
% 10.22/2.34 % (11602)Time elapsed: 0.084 s
% 10.22/2.34 % (11602)Peak memory usage: 90 MB
% 10.22/2.34 % (11602)Instructions burned: 113 (million)
% 10.22/2.34 % (11605)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3859325696:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 10.22/2.34 % (11605)Refutation not found, incomplete strategy
% 10.22/2.34 % (11605)------------------------------
% 10.22/2.34 % (11605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.34 % (11605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.34 % (11605)CaDiCaL version: 2.1.3
% 10.22/2.34 % (11605)Termination reason: Refutation not found, incomplete strategy
% 10.22/2.34 % (11605)Time elapsed: 0.002 s
% 10.22/2.34 % (11605)Peak memory usage: 88 MB
% 10.22/2.34 % (11605)Instructions burned: 1 (million)
% 10.22/2.34 % (11608)lrs+10_1_sil=8000:sp=occurrence:random_seed=2926255293:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 10.22/2.34 % (11609)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3902188106:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 10.22/2.34 % (11605)------------------------------
% 10.22/2.34 % (11605)------------------------------
% 10.22/2.34 % (11608)Instruction limit reached!
% 10.22/2.34 % (11608)------------------------------
% 10.22/2.34 % (11608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.34 % (11608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.34 % (11608)CaDiCaL version: 2.1.3
% 10.22/2.34 % (11608)Termination reason: Instruction limit
% 10.22/2.34 % (11608)Termination phase: Saturation
% 10.22/2.34 % (11608)Time elapsed: 0.303 s
% 10.22/2.34 % (11608)Peak memory usage: 96 MB
% 10.22/2.34 % (11608)Instructions burned: 908 (million)
% 10.22/2.34 % (11609)Instruction limit reached!
% 10.22/2.34 % (11609)------------------------------
% 10.22/2.34 % (11609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.34 % (11609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.34 % (11609)CaDiCaL version: 2.1.3
% 10.22/2.34 % (11609)Termination reason: Instruction limit
% 10.22/2.34 % (11609)Termination phase: Saturation
% 10.22/2.34 % (11609)Time elapsed: 0.248 s
% 10.22/2.34 % (11609)Peak memory usage: 89 MB
% 10.22/2.34 % (11609)Instructions burned: 438 (million)
% 10.22/2.34 % (11613)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=723427017:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 10.22/2.34 % (11577)First to succeed.
% 10.22/2.34 % (11577)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11572"
% 10.22/2.34 % (11614)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3515909215:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 10.22/2.34 % (11614)Instruction limit reached!
% 10.22/2.34 % (11614)------------------------------
% 10.22/2.34 % (11614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.34 % (11614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.34 % (11614)CaDiCaL version: 2.1.3
% 10.22/2.34 % (11614)Termination reason: Instruction limit
% 10.22/2.34 % (11614)Termination phase: Saturation
% 10.22/2.34 % (11614)Time elapsed: 0.041 s
% 10.22/2.34 % (11614)Peak memory usage: 92 MB
% 10.22/2.34 % (11614)Instructions burned: 136 (million)
% 10.22/2.34 % (11615)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2317490626:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 10.22/2.34 % (11615)Refutation not found, incomplete strategy
% 10.22/2.34 % (11615)------------------------------
% 10.22/2.34 % (11615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.34 % (11615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.34 % (11615)CaDiCaL version: 2.1.3
% 10.22/2.34 % (11615)Termination reason: Refutation not found, incomplete strategy
% 10.22/2.34 % (11615)Time elapsed: 0.002 s
% 10.22/2.34 % (11615)Peak memory usage: 88 MB
% 10.22/2.34 % (11615)Instructions burned: 2 (million)
% 10.22/2.34 % (11579)Also succeeded, but the first one will report.
% 10.22/2.34 % (11618)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3724888405:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 10.22/2.34 % (11577)Refutation found. Thanks to Tanya!
% 10.22/2.34 % SZS status Theorem for theBenchmark
% 10.22/2.34 % SZS output start Proof for theBenchmark
% See solution above
% 11.01/2.44 % (11577)------------------------------
% 11.01/2.44 % (11577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.01/2.44 % (11577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.01/2.44 % (11577)CaDiCaL version: 2.1.3
% 11.01/2.44 % (11577)Termination reason: Refutation
% 11.01/2.44 % (11577)Time elapsed: 1.078 s
% 11.01/2.44 % (11577)Peak memory usage: 135 MB
% 11.01/2.44 % (11577)Instructions burned: 1603 (million)
% 11.01/2.44 % (11577)------------------------------
% 11.01/2.44 % (11577)------------------------------
% 11.01/2.44 % (11572)Success in time 1.488 s
% 11.01/2.44 % Vampire exiting
%------------------------------------------------------------------------------