%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM396+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 12:15:03 PM UTC 2026
% Result : Theorem 5.87s 1.72s
% Output : Refutation 8.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 26
% Syntax : Number of formulae : 190 ( 30 unt; 16 def)
% Number of atoms : 601 ( 75 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 683 ( 272 ~; 321 |; 62 &)
% ( 23 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 15 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 155 ( 0 sgn 143 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f9,axiom,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_ordinal1) ).
fof(f10,axiom,
! [X0,X1] :
( X1 = singleton(X0)
<=> ! [X2] :
( in(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f11,axiom,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( in(X1,X0)
=> subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_ordinal1) ).
fof(f12,axiom,
! [X0,X1,X2] :
( X2 = set_union2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
| in(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f13,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(f14,axiom,
! [X0] :
( ordinal(X0)
<=> ( epsilon_transitive(X0)
& epsilon_connected(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_ordinal1) ).
fof(f40,axiom,
! [X0,X1,X2] :
( ( subset(X0,X1)
& subset(X1,X2) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f41,conjecture,
! [X0] :
( ordinal(X0)
=> ordinal(succ(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_ordinal1) ).
fof(f42,negated_conjecture,
~ ! [X0] :
( ordinal(X0)
=> ordinal(succ(X0)) ),
inference(negated_conjecture,[status(cth)],[f41]) ).
fof(f49,axiom,
! [X0,X1] : subset(X0,set_union2(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_xboole_1) ).
fof(f62,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f71,plain,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f72,plain,
! [X0] :
( epsilon_connected(X0)
<=> ! [X1,X2] :
( ~ in(X1,X0)
| ~ in(X2,X0)
| in(X1,X2)
| X1 = X2
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f78,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(ennf_transformation,[],[f40]) ).
fof(f79,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
? [X0] :
( ~ ordinal(succ(X0))
& ordinal(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f89,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X2 = X0
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X2 = X0
| ~ in(X2,X1) ) )
| singleton(X0) != X1 ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f90,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X2 = X0
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(rectify,[],[f89]) ).
fof(f91,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ( ( sK0(X0,X1) != X0
| ~ in(sK0(X0,X1),X1) )
& ( sK0(X0,X1) = X0
| in(sK0(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f90]) ).
fof(f92,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,[],[f71]) ).
fof(f93,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(rectify,[],[f92]) ).
fof(f94,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ( ~ subset(sK1(X0),X0)
& in(sK1(X0),X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f93]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(X0,X1)
| ? [X3] :
( ( ( ~ in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) )
& ( in(X3,X0)
| in(X3,X1)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X0)
& ~ in(X3,X1) ) )
& ( in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(X0,X1)
| ? [X3] :
( ( ( ~ in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) )
& ( in(X3,X0)
| in(X3,X1)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X0)
& ~ in(X3,X1) ) )
& ( in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(flattening,[],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(X0,X1)
| ? [X3] :
( ( ( ~ in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) )
& ( in(X3,X0)
| in(X3,X1)
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X0)
& ~ in(X4,X1) ) )
& ( in(X4,X0)
| in(X4,X1)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(rectify,[],[f96]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(X0,X1)
| ( ( ( ~ in(sK2(X0,X1,X2),X0)
& ~ in(sK2(X0,X1,X2),X1) )
| ~ in(sK2(X0,X1,X2),X2) )
& ( in(sK2(X0,X1,X2),X0)
| in(sK2(X0,X1,X2),X1)
| in(sK2(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X0)
& ~ in(X4,X1) ) )
& ( in(X4,X0)
| in(X4,X1)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f97]) ).
fof(f99,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,[],[f72]) ).
fof(f100,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,[],[f99]) ).
fof(f101,plain,
! [X0] :
( ( epsilon_connected(X0)
| ( in(sK3(X0),X0)
& in(sK4(X0),X0)
& ~ in(sK3(X0),sK4(X0))
& sK3(X0) != sK4(X0)
& ~ in(sK4(X0),sK3(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,[sK3,sK4]),skolemize(X1,sK3(X0)),skolemize(X2,sK4(X0))],[f100]) ).
fof(f102,plain,
! [X0] :
( ( ordinal(X0)
| ~ epsilon_transitive(X0)
| ~ epsilon_connected(X0) )
& ( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
| ~ ordinal(X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f103,plain,
! [X0] :
( ( ordinal(X0)
| ~ epsilon_transitive(X0)
| ~ epsilon_connected(X0) )
& ( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
| ~ ordinal(X0) ) ),
inference(flattening,[],[f102]) ).
fof(f117,plain,
( ~ ordinal(succ(sK18))
& ordinal(sK18) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X0,sK18)],[f80]) ).
fof(f119,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f131,plain,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
inference(cnf_transformation,[],[f9]) ).
fof(f132,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ in(X3,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f91]) ).
fof(f133,plain,
! [X3,X0,X1] :
( in(X3,X1)
| X0 != X3
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f91]) ).
fof(f136,plain,
! [X2,X0] :
( ~ in(X2,X0)
| subset(X2,X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f137,plain,
! [X0] :
( in(sK1(X0),X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f138,plain,
! [X0] :
( ~ subset(sK1(X0),X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f139,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| in(X4,X1)
| ~ in(X4,X2)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f98]) ).
fof(f140,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X1)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f98]) ).
fof(f141,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f98]) ).
fof(f145,plain,
! [X3,X0,X4] :
( ~ in(X4,X0)
| ~ in(X3,X0)
| in(X3,X4)
| X3 = X4
| in(X4,X3)
| ~ epsilon_connected(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f146,plain,
! [X0] :
( ~ in(sK4(X0),sK3(X0))
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f147,plain,
! [X0] :
( sK3(X0) != sK4(X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f148,plain,
! [X0] :
( ~ in(sK3(X0),sK4(X0))
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f149,plain,
! [X0] :
( in(sK4(X0),X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f150,plain,
! [X0] :
( in(sK3(X0),X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f151,plain,
! [X0] :
( ~ ordinal(X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f152,plain,
! [X0] :
( ~ ordinal(X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f153,plain,
! [X0] :
( ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0)
| ordinal(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f201,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f202,plain,
ordinal(sK18),
inference(cnf_transformation,[],[f117]) ).
fof(f203,plain,
~ ordinal(succ(sK18)),
inference(cnf_transformation,[],[f117]) ).
fof(f211,plain,
! [X0,X1] : subset(X0,set_union2(X0,X1)),
inference(cnf_transformation,[],[f49]) ).
fof(f214,plain,
~ ordinal(set_union2(sK18,singleton(sK18))),
inference(definition_unfolding,[],[f203,f131]) ).
fof(f215,plain,
! [X3,X1] :
( in(X3,X1)
| singleton(X3) != X1 ),
inference(equality_resolution,[],[f133]) ).
fof(f216,plain,
! [X3] : in(X3,singleton(X3)),
inference(equality_resolution,[],[f215]) ).
fof(f217,plain,
! [X3,X0] :
( ~ in(X3,singleton(X0))
| X0 = X3 ),
inference(equality_resolution,[],[f132]) ).
fof(f218,plain,
! [X0,X1,X4] :
( in(X4,set_union2(X0,X1))
| ~ in(X4,X0) ),
inference(equality_resolution,[],[f141]) ).
fof(f219,plain,
! [X0,X1,X4] :
( in(X4,set_union2(X0,X1))
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f140]) ).
fof(f220,plain,
! [X0,X1,X4] :
( ~ in(X4,set_union2(X0,X1))
| in(X4,X1)
| in(X4,X0) ),
inference(equality_resolution,[],[f139]) ).
fof(f221,definition,
sF19 = singleton(sK18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f222,plain,
singleton(sK18) = sF19,
inference(reorient_equations,[],[f221]) ).
fof(f223,definition,
sF20 = set_union2(sK18,sF19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f224,plain,
set_union2(sK18,sF19) = sF20,
inference(reorient_equations,[],[f223]) ).
fof(f225,plain,
~ ordinal(sF20),
inference(definition_folding,[],[f214,f224,f222]) ).
fof(f226,plain,
! [X0] :
( ~ in(X0,sF19)
| in(X0,sF20) ),
inference(superposition,[],[f219,f224]) ).
fof(f227,plain,
in(sK18,sF19),
inference(superposition,[],[f216,f222]) ).
fof(f229,plain,
! [X0] :
( ~ in(X0,sF20)
| in(X0,sF19)
| in(X0,sK18) ),
inference(superposition,[],[f220,f224]) ).
fof(f231,plain,
! [X0] :
( ~ in(X0,sK18)
| in(X0,sF20) ),
inference(superposition,[],[f218,f224]) ).
fof(f232,plain,
in(sK18,sF20),
inference(resolution,[],[f227,f226]) ).
fof(f234,plain,
! [X0] :
( ~ in(X0,sF19)
| sK18 = X0 ),
inference(superposition,[],[f217,f222]) ).
fof(f250,plain,
epsilon_connected(sK18),
inference(resolution,[],[f151,f202]) ).
fof(f256,plain,
( epsilon_connected(sF20)
| in(sK4(sF20),sF19)
| in(sK4(sF20),sK18) ),
inference(resolution,[],[f149,f229]) ).
fof(f258,definition,
( spl21_1
<=> in(sK4(sF20),sK18) ),
introduced(definition,[new_symbols(definition,[spl21_1])],[avatar_definition]) ).
fof(f260,plain,
( in(sK4(sF20),sK18)
| ~ spl21_1 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f262,definition,
( spl21_2
<=> in(sK4(sF20),sF19) ),
introduced(definition,[new_symbols(definition,[spl21_2])],[avatar_definition]) ).
fof(f264,plain,
( in(sK4(sF20),sF19)
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f266,definition,
( spl21_3
<=> epsilon_connected(sF20) ),
introduced(definition,[new_symbols(definition,[spl21_3])],[avatar_definition]) ).
fof(f267,plain,
( ~ epsilon_connected(sF20)
| spl21_3 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f268,plain,
( epsilon_connected(sF20)
| ~ spl21_3 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f269,plain,
( spl21_1
| spl21_2
| spl21_3 ),
inference(avatar_split_clause,[],[f256,f266,f262,f258]) ).
fof(f284,plain,
( sK18 = sK4(sF20)
| ~ spl21_2 ),
inference(resolution,[],[f264,f234]) ).
fof(f288,plain,
( sK18 != sK3(sF20)
| epsilon_connected(sF20)
| ~ spl21_2 ),
inference(superposition,[],[f147,f284]) ).
fof(f290,plain,
( ~ in(sK3(sF20),sK18)
| epsilon_connected(sF20)
| ~ spl21_2 ),
inference(superposition,[],[f148,f284]) ).
fof(f292,definition,
( spl21_7
<=> in(sK3(sF20),sK18) ),
introduced(definition,[new_symbols(definition,[spl21_7])],[avatar_definition]) ).
fof(f293,plain,
( in(sK3(sF20),sK18)
| ~ spl21_7 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f294,plain,
( ~ in(sK3(sF20),sK18)
| spl21_7 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f295,plain,
( spl21_3
| ~ spl21_7
| ~ spl21_2 ),
inference(avatar_split_clause,[],[f290,f262,f292,f266]) ).
fof(f302,definition,
( spl21_9
<=> sK18 = sK3(sF20) ),
introduced(definition,[new_symbols(definition,[spl21_9])],[avatar_definition]) ).
fof(f303,plain,
( sK18 = sK3(sF20)
| ~ spl21_9 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f304,plain,
( sK18 != sK3(sF20)
| spl21_9 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f305,plain,
( spl21_3
| ~ spl21_9
| ~ spl21_2 ),
inference(avatar_split_clause,[],[f288,f262,f302,f266]) ).
fof(f313,plain,
( epsilon_connected(sF20)
| in(sK3(sF20),sF19)
| in(sK3(sF20),sK18) ),
inference(resolution,[],[f150,f229]) ).
fof(f314,plain,
( epsilon_connected(sF20)
| in(sK3(sF20),sF19)
| spl21_7 ),
inference(forward_subsumption_resolution,[],[f313,f294]) ).
fof(f316,definition,
( spl21_10
<=> in(sK3(sF20),sF19) ),
introduced(definition,[new_symbols(definition,[spl21_10])],[avatar_definition]) ).
fof(f318,plain,
( in(sK3(sF20),sF19)
| ~ spl21_10 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f319,plain,
( spl21_10
| spl21_3
| spl21_7 ),
inference(avatar_split_clause,[],[f314,f292,f266,f316]) ).
fof(f337,definition,
( spl21_11
<=> epsilon_transitive(sF20) ),
introduced(definition,[new_symbols(definition,[spl21_11])],[avatar_definition]) ).
fof(f338,plain,
( epsilon_transitive(sF20)
| ~ spl21_11 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f339,plain,
( ~ epsilon_transitive(sF20)
| spl21_11 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f341,definition,
( spl21_12
<=> subset(sK18,sF20) ),
introduced(definition,[new_symbols(definition,[spl21_12])],[avatar_definition]) ).
fof(f343,plain,
( subset(sK18,sF20)
| ~ spl21_12 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f360,definition,
( spl21_16
<=> epsilon_transitive(sK18) ),
introduced(definition,[new_symbols(definition,[spl21_16])],[avatar_definition]) ).
fof(f361,plain,
( epsilon_transitive(sK18)
| ~ spl21_16 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f362,plain,
( ~ epsilon_transitive(sK18)
| spl21_16 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f378,plain,
epsilon_transitive(sK18),
inference(resolution,[],[f152,f202]) ).
fof(f379,plain,
( $false
| spl21_16 ),
inference(forward_subsumption_resolution,[],[f378,f362]) ).
fof(f380,plain,
spl21_16,
inference(avatar_contradiction_clause,[],[f379]) ).
fof(f382,plain,
subset(sK18,sF20),
inference(superposition,[],[f211,f224]) ).
fof(f386,plain,
spl21_12,
inference(avatar_split_clause,[],[f382,f341]) ).
fof(f387,plain,
( ! [X0] :
( ~ subset(X0,sK18)
| subset(X0,sF20) )
| ~ spl21_12 ),
inference(resolution,[],[f343,f201]) ).
fof(f410,plain,
( epsilon_transitive(sF20)
| in(sK1(sF20),sF19)
| in(sK1(sF20),sK18) ),
inference(resolution,[],[f137,f229]) ).
fof(f411,plain,
( in(sK1(sF20),sF19)
| in(sK1(sF20),sK18)
| spl21_11 ),
inference(forward_subsumption_resolution,[],[f410,f339]) ).
fof(f415,definition,
( spl21_20
<=> in(sK1(sF20),sK18) ),
introduced(definition,[new_symbols(definition,[spl21_20])],[avatar_definition]) ).
fof(f417,plain,
( in(sK1(sF20),sK18)
| ~ spl21_20 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f419,definition,
( spl21_21
<=> in(sK1(sF20),sF19) ),
introduced(definition,[new_symbols(definition,[spl21_21])],[avatar_definition]) ).
fof(f421,plain,
( in(sK1(sF20),sF19)
| ~ spl21_21 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f422,plain,
( spl21_20
| spl21_21
| spl21_11 ),
inference(avatar_split_clause,[],[f411,f337,f419,f415]) ).
fof(f423,plain,
( ~ epsilon_transitive(sF20)
| ordinal(sF20)
| ~ spl21_3 ),
inference(resolution,[],[f268,f153]) ).
fof(f424,plain,
( ordinal(sF20)
| ~ spl21_3
| ~ spl21_11 ),
inference(forward_subsumption_resolution,[],[f423,f338]) ).
fof(f425,plain,
( $false
| ~ spl21_3
| ~ spl21_11 ),
inference(forward_subsumption_resolution,[],[f424,f225]) ).
fof(f426,plain,
( ~ spl21_3
| ~ spl21_11 ),
inference(avatar_contradiction_clause,[],[f425]) ).
fof(f427,plain,
( sK18 = sK3(sF20)
| ~ spl21_10 ),
inference(resolution,[],[f318,f234]) ).
fof(f431,plain,
( $false
| spl21_9
| ~ spl21_10 ),
inference(forward_subsumption_resolution,[],[f427,f304]) ).
fof(f432,plain,
( spl21_9
| ~ spl21_10 ),
inference(avatar_contradiction_clause,[],[f431]) ).
fof(f443,plain,
( ~ in(sK4(sF20),sK18)
| epsilon_connected(sF20)
| ~ spl21_9 ),
inference(superposition,[],[f146,f303]) ).
fof(f446,plain,
( epsilon_connected(sF20)
| ~ spl21_1
| ~ spl21_9 ),
inference(forward_subsumption_resolution,[],[f443,f260]) ).
fof(f447,plain,
( $false
| ~ spl21_1
| spl21_3
| ~ spl21_9 ),
inference(forward_subsumption_resolution,[],[f446,f267]) ).
fof(f448,plain,
( ~ spl21_1
| spl21_3
| ~ spl21_9 ),
inference(avatar_contradiction_clause,[],[f447]) ).
fof(f469,plain,
( ! [X0] :
( ~ in(X0,sK18)
| in(X0,sK4(sF20))
| sK4(sF20) = X0
| in(sK4(sF20),X0)
| ~ epsilon_connected(sK18) )
| ~ spl21_1 ),
inference(resolution,[],[f145,f260]) ).
fof(f473,plain,
( ! [X0] :
( in(sK4(sF20),X0)
| in(X0,sK4(sF20))
| sK4(sF20) = X0
| ~ in(X0,sK18) )
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f469,f250]) ).
fof(f475,plain,
( in(sK3(sF20),sK4(sF20))
| sK4(sF20) = sK3(sF20)
| ~ in(sK3(sF20),sK18)
| epsilon_connected(sF20)
| ~ spl21_1 ),
inference(resolution,[],[f473,f146]) ).
fof(f531,plain,
( sK4(sF20) = sK3(sF20)
| ~ in(sK3(sF20),sK18)
| epsilon_connected(sF20)
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f475,f148]) ).
fof(f532,plain,
( ~ in(sK3(sF20),sK18)
| epsilon_connected(sF20)
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f531,f147]) ).
fof(f533,plain,
( epsilon_connected(sF20)
| ~ spl21_1
| ~ spl21_7 ),
inference(forward_subsumption_resolution,[],[f532,f293]) ).
fof(f534,plain,
( $false
| ~ spl21_1
| spl21_3
| ~ spl21_7 ),
inference(forward_subsumption_resolution,[],[f533,f267]) ).
fof(f535,plain,
( ~ spl21_1
| spl21_3
| ~ spl21_7 ),
inference(avatar_contradiction_clause,[],[f534]) ).
fof(f538,plain,
( in(sK1(sF20),sF20)
| ~ spl21_20 ),
inference(resolution,[],[f417,f231]) ).
fof(f581,plain,
( ! [X0] :
( ~ in(X0,sF20)
| in(X0,sK1(sF20))
| sK1(sF20) = X0
| in(sK1(sF20),X0)
| ~ epsilon_connected(sF20) )
| ~ spl21_20 ),
inference(resolution,[],[f538,f145]) ).
fof(f584,plain,
( ! [X0] :
( in(sK1(sF20),X0)
| in(X0,sK1(sF20))
| sK1(sF20) = X0
| ~ in(X0,sF20) )
| ~ spl21_3
| ~ spl21_20 ),
inference(forward_subsumption_resolution,[],[f581,f268]) ).
fof(f592,definition,
( spl21_38
<=> subset(sK1(sF20),sF20) ),
introduced(definition,[new_symbols(definition,[spl21_38])],[avatar_definition]) ).
fof(f594,plain,
( subset(sK1(sF20),sF20)
| ~ spl21_38 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f596,definition,
( spl21_39
<=> in(sK18,sK1(sF20)) ),
introduced(definition,[new_symbols(definition,[spl21_39])],[avatar_definition]) ).
fof(f597,plain,
( ~ in(sK18,sK1(sF20))
| spl21_39 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f604,definition,
( spl21_41
<=> sK18 = sK1(sF20) ),
introduced(definition,[new_symbols(definition,[spl21_41])],[avatar_definition]) ).
fof(f606,plain,
( sK18 = sK1(sF20)
| ~ spl21_41 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f610,plain,
( ! [X0] :
( subset(sK1(sF20),X0)
| sK1(sF20) = X0
| ~ in(X0,sF20)
| in(X0,sK1(sF20))
| ~ epsilon_transitive(X0) )
| ~ spl21_3
| ~ spl21_20 ),
inference(resolution,[],[f584,f136]) ).
fof(f729,plain,
( ~ in(sK18,sK1(sF20))
| ~ spl21_20 ),
inference(resolution,[],[f119,f417]) ).
fof(f740,plain,
( ~ spl21_39
| ~ spl21_20 ),
inference(avatar_split_clause,[],[f729,f415,f596]) ).
fof(f833,plain,
( sK18 = sK1(sF20)
| ~ in(sK18,sF20)
| in(sK18,sK1(sF20))
| ~ epsilon_transitive(sK18)
| subset(sK1(sF20),sF20)
| ~ spl21_3
| ~ spl21_12
| ~ spl21_20 ),
inference(resolution,[],[f610,f387]) ).
fof(f835,plain,
( sK18 = sK1(sF20)
| in(sK18,sK1(sF20))
| ~ epsilon_transitive(sK18)
| subset(sK1(sF20),sF20)
| ~ spl21_3
| ~ spl21_12
| ~ spl21_20 ),
inference(forward_subsumption_resolution,[],[f833,f232]) ).
fof(f841,plain,
( sK18 = sK1(sF20)
| ~ epsilon_transitive(sK18)
| subset(sK1(sF20),sF20)
| ~ spl21_3
| ~ spl21_12
| ~ spl21_20
| spl21_39 ),
inference(forward_subsumption_resolution,[],[f835,f597]) ).
fof(f842,plain,
( sK18 = sK1(sF20)
| subset(sK1(sF20),sF20)
| ~ spl21_3
| ~ spl21_12
| ~ spl21_16
| ~ spl21_20
| spl21_39 ),
inference(forward_subsumption_resolution,[],[f841,f361]) ).
fof(f843,plain,
( spl21_38
| spl21_41
| ~ spl21_3
| ~ spl21_12
| ~ spl21_16
| ~ spl21_20
| spl21_39 ),
inference(avatar_split_clause,[],[f842,f596,f415,f360,f341,f266,f604,f592]) ).
fof(f844,plain,
( sK18 = sK1(sF20)
| ~ spl21_21 ),
inference(resolution,[],[f421,f234]) ).
fof(f853,plain,
( spl21_41
| ~ spl21_21 ),
inference(avatar_split_clause,[],[f844,f419,f604]) ).
fof(f859,plain,
( ~ subset(sK18,sF20)
| epsilon_transitive(sF20)
| ~ spl21_41 ),
inference(superposition,[],[f138,f606]) ).
fof(f860,plain,
( epsilon_transitive(sF20)
| ~ spl21_12
| ~ spl21_41 ),
inference(forward_subsumption_resolution,[],[f859,f343]) ).
fof(f861,plain,
( $false
| spl21_11
| ~ spl21_12
| ~ spl21_41 ),
inference(forward_subsumption_resolution,[],[f860,f339]) ).
fof(f862,plain,
( spl21_11
| ~ spl21_12
| ~ spl21_41 ),
inference(avatar_contradiction_clause,[],[f861]) ).
fof(f917,plain,
( epsilon_transitive(sF20)
| ~ spl21_38 ),
inference(resolution,[],[f594,f138]) ).
fof(f919,plain,
( $false
| spl21_11
| ~ spl21_38 ),
inference(forward_subsumption_resolution,[],[f917,f339]) ).
fof(f920,plain,
( spl21_11
| ~ spl21_38 ),
inference(avatar_contradiction_clause,[],[f919]) ).
cnf(s1,plain,
( spl21_1
| spl21_2
| spl21_3 ),
inference(sat_conversion,[],[f269]) ).
cnf(s4,plain,
( ~ spl21_2
| spl21_3
| ~ spl21_7 ),
inference(sat_conversion,[],[f295]) ).
cnf(s6,plain,
( ~ spl21_2
| spl21_3
| ~ spl21_9 ),
inference(sat_conversion,[],[f305]) ).
cnf(s7,plain,
( spl21_3
| spl21_7
| spl21_10 ),
inference(sat_conversion,[],[f319]) ).
cnf(s14,plain,
spl21_16,
inference(sat_conversion,[],[f380]) ).
cnf(s15,plain,
spl21_12,
inference(sat_conversion,[],[f386]) ).
cnf(s16,plain,
( spl21_11
| spl21_20
| spl21_21 ),
inference(sat_conversion,[],[f422]) ).
cnf(s17,plain,
( ~ spl21_3
| ~ spl21_11 ),
inference(sat_conversion,[],[f426]) ).
cnf(s18,plain,
( spl21_9
| ~ spl21_10 ),
inference(sat_conversion,[],[f432]) ).
cnf(s19,plain,
( ~ spl21_1
| spl21_3
| ~ spl21_9 ),
inference(sat_conversion,[],[f448]) ).
cnf(s26,plain,
( ~ spl21_1
| spl21_3
| ~ spl21_7 ),
inference(sat_conversion,[],[f535]) ).
cnf(s36,plain,
( ~ spl21_20
| ~ spl21_39 ),
inference(sat_conversion,[],[f740]) ).
cnf(s39,plain,
( ~ spl21_3
| ~ spl21_12
| ~ spl21_16
| ~ spl21_20
| spl21_38
| spl21_39
| spl21_41 ),
inference(sat_conversion,[],[f843]) ).
cnf(s41,plain,
( ~ spl21_21
| spl21_41 ),
inference(sat_conversion,[],[f853]) ).
cnf(s42,plain,
( spl21_11
| ~ spl21_12
| ~ spl21_41 ),
inference(sat_conversion,[],[f862]) ).
cnf(s43,plain,
( spl21_11
| ~ spl21_38 ),
inference(sat_conversion,[],[f920]) ).
cnf(s46,plain,
~ spl21_3,
inference(rat,[],[s39,s36,s16,s41,s42,s43,s17,s15,s14]) ).
cnf(s47,plain,
~ spl21_2,
inference(rat,[],[s7,s18,s4,s6,s46]) ).
cnf(s48,plain,
spl21_1,
inference(rat,[],[s1,s46,s47]) ).
cnf(s51,plain,
~ spl21_7,
inference(rat,[],[s26,s46,s48]) ).
cnf(s52,plain,
~ spl21_9,
inference(rat,[],[s19,s46,s48]) ).
cnf(s53,plain,
spl21_10,
inference(rat,[],[s7,s46,s51]) ).
cnf(s54,plain,
$false,
inference(rat,[],[s18,s53,s52]) ).
fof(f921,plain,
$false,
inference(avatar_sat_refutation,[],[s54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM396+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n008.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 19:47:09 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 5.87/1.72 % (1553921)Detected formulas, will run a generic FOF schedule.
% 5.87/1.72 % (1553931)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2224733832:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.87/1.72 % (1553929)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1298167891:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.87/1.72 % (1553926)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=4216731224:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.87/1.72 % (1553930)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3656256999:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.87/1.72 % (1553932)dis-21_1_sil=8000:lcm=predicate:random_seed=3843211674: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)
% 5.87/1.72 % (1553928)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=3779006275:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.87/1.72 % (1553927)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=2949607121:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.87/1.72 % (1553929)Refutation not found, incomplete strategy
% 5.87/1.72 % (1553929)------------------------------
% 5.87/1.72 % (1553929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.72 % (1553929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.72 % (1553929)CaDiCaL version: 2.1.3
% 5.87/1.72 % (1553929)Termination reason: Refutation not found, incomplete strategy
% 5.87/1.72 % (1553929)Time elapsed: 0.001 s
% 5.87/1.72 % (1553929)Peak memory usage: 88 MB
% 5.87/1.72 % (1553931)Instruction limit reached!
% 5.87/1.72 % (1553931)------------------------------
% 5.87/1.72 % (1553931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.72 % (1553931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.72 % (1553931)CaDiCaL version: 2.1.3
% 5.87/1.72 % (1553931)Termination reason: Instruction limit
% 5.87/1.72 % (1553931)Termination phase: Saturation
% 5.87/1.72 % (1553931)Time elapsed: 0.048 s
% 5.87/1.72 % (1553931)Peak memory usage: 90 MB
% 5.87/1.72 % (1553931)Instructions burned: 140 (million)
% 5.87/1.72 % (1553930)Instruction limit reached!
% 5.87/1.72 % (1553930)------------------------------
% 5.87/1.72 % (1553930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.72 % (1553930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.72 % (1553930)CaDiCaL version: 2.1.3
% 5.87/1.72 % (1553930)Termination reason: Instruction limit
% 5.87/1.72 % (1553930)Termination phase: Saturation
% 5.87/1.72 % (1553930)Time elapsed: 0.068 s
% 5.87/1.72 % (1553930)Peak memory usage: 88 MB
% 5.87/1.72 % (1553930)Instructions burned: 119 (million)
% 5.87/1.72 % (1553932)Instruction limit reached!
% 5.87/1.72 % (1553932)------------------------------
% 5.87/1.72 % (1553932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.72 % (1553932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.72 % (1553932)CaDiCaL version: 2.1.3
% 5.87/1.72 % (1553932)Termination reason: Instruction limit
% 5.87/1.72 % (1553932)Termination phase: Saturation
% 5.87/1.72 % (1553932)Time elapsed: 0.080 s
% 5.87/1.72 % (1553932)Peak memory usage: 89 MB
% 5.87/1.72 % (1553932)Instructions burned: 129 (million)
% 5.87/1.72 % (1553940)lrs+10_1_sil=8000:sp=occurrence:random_seed=1591098395:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.87/1.72 % (1553941)lrs+10_1_sil=32000:urr=on:br=off:random_seed=245955677:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.87/1.72 % (1553941)Refutation not found, incomplete strategy
% 5.87/1.72 % (1553941)------------------------------
% 5.87/1.72 % (1553941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.72 % (1553941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.72 % (1553941)CaDiCaL version: 2.1.3
% 5.87/1.72 % (1553941)Termination reason: Refutation not found, incomplete strategy
% 5.87/1.72 % (1553941)Time elapsed: 0.002 s
% 5.87/1.72 % (1553941)Peak memory usage: 88 MB
% 5.87/1.72 % (1553941)Instructions burned: 1 (million)
% 5.87/1.72 % (1553929)------------------------------
% 5.87/1.72 % (1553929)------------------------------
% 5.87/1.72 % (1553942)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2741039911:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.87/1.72 % (1553942)Refutation not found, incomplete strategy
% 5.87/1.72 % (1553942)------------------------------
% 5.87/1.72 % (1553942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.72 % (1553942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.72 % (1553942)CaDiCaL version: 2.1.3
% 5.87/1.72 % (1553942)Termination reason: Refutation not found, incomplete strategy
% 5.87/1.72 % (1553942)Time elapsed: 0.002 s
% 5.87/1.72 % (1553942)Peak memory usage: 88 MB
% 5.87/1.72 % (1553942)Instructions burned: 1 (million)
% 5.87/1.72 % (1553940)Instruction limit reached!
% 5.87/1.72 % (1553940)------------------------------
% 5.87/1.72 % (1553940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.72 % (1553940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.72 % (1553940)CaDiCaL version: 2.1.3
% 5.87/1.72 % (1553940)Termination reason: Instruction limit
% 5.87/1.72 % (1553940)Termination phase: Saturation
% 5.87/1.72 % (1553940)Time elapsed: 0.089 s
% 5.87/1.72 % (1553940)Peak memory usage: 90 MB
% 5.87/1.72 % (1553940)Instructions burned: 286 (million)
% 5.87/1.72 % (1553947)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3508122816:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.87/1.72 % (1553947)Refutation not found, incomplete strategy
% 5.87/1.72 % (1553947)------------------------------
% 5.87/1.72 % (1553947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.72 % (1553947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.72 % (1553947)CaDiCaL version: 2.1.3
% 5.87/1.72 % (1553947)Termination reason: Refutation not found, incomplete strategy
% 5.87/1.72 % (1553947)Time elapsed: 0.002 s
% 5.87/1.72 % (1553947)Peak memory usage: 88 MB
% 5.87/1.72 % (1553947)Instructions burned: 2 (million)
% 5.87/1.72 % (1553946)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=2040073072:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.87/1.72 % (1553941)------------------------------
% 5.87/1.72 % (1553941)------------------------------
% 5.87/1.72 % (1553942)------------------------------
% 5.87/1.72 % (1553942)------------------------------
% 5.87/1.72 % (1553946)Instruction limit reached!
% 5.87/1.72 % (1553946)------------------------------
% 5.87/1.72 % (1553946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.72 % (1553946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.72 % (1553946)CaDiCaL version: 2.1.3
% 5.87/1.72 % (1553946)Termination reason: Instruction limit
% 5.87/1.72 % (1553946)Termination phase: Saturation
% 5.87/1.72 % (1553946)Time elapsed: 0.129 s
% 5.87/1.72 % (1553946)Peak memory usage: 95 MB
% 5.87/1.72 % (1553946)Instructions burned: 250 (million)
% 5.87/1.72 % (1553947)------------------------------
% 5.87/1.72 % (1553947)------------------------------
% 5.87/1.72 % (1553950)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3154910911:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 5.87/1.72 % (1553951)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=486178810:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 5.87/1.72 % (1553953)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4062888838:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 5.87/1.72 % (1553953)Refutation not found, incomplete strategy
% 5.87/1.72 % (1553953)------------------------------
% 5.87/1.72 % (1553953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.72 % (1553953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.72 % (1553953)CaDiCaL version: 2.1.3
% 5.87/1.72 % (1553953)Termination reason: Refutation not found, incomplete strategy
% 5.87/1.72 % (1553953)Time elapsed: 0.001 s
% 5.87/1.72 % (1553953)Peak memory usage: 88 MB
% 5.87/1.72 % (1553952)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1119001776:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.87/1.72 % (1553926)First to succeed.
% 5.87/1.72 % (1553926)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1553921"
% 5.87/1.72 % (1553952)Instruction limit reached!
% 5.87/1.72 % (1553952)------------------------------
% 5.87/1.72 % (1553952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.72 % (1553952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.72 % (1553952)CaDiCaL version: 2.1.3
% 5.87/1.72 % (1553952)Termination reason: Instruction limit
% 5.87/1.72 % (1553952)Termination phase: Saturation
% 5.87/1.72 % (1553952)Time elapsed: 0.063 s
% 5.87/1.72 % (1553952)Peak memory usage: 89 MB
% 5.87/1.72 % (1553952)Instructions burned: 128 (million)
% 5.87/1.72 % (1553951)Instruction limit reached!
% 5.87/1.72 % (1553951)------------------------------
% 5.87/1.72 % (1553951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.72 % (1553951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.72 % (1553951)CaDiCaL version: 2.1.3
% 5.87/1.72 % (1553951)Termination reason: Instruction limit
% 5.87/1.72 % (1553951)Termination phase: Saturation
% 5.87/1.72 % (1553951)Time elapsed: 0.079 s
% 5.87/1.72 % (1553951)Peak memory usage: 90 MB
% 5.87/1.72 % (1553951)Instructions burned: 113 (million)
% 5.87/1.72 % (1553953)------------------------------
% 5.87/1.72 % (1553953)------------------------------
% 5.87/1.72 % (1553928)Also succeeded, but the first one will report.
% 5.87/1.72 % (1553958)lrs+10_1_sil=8000:sp=occurrence:random_seed=1182347106:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 5.87/1.72 % (1553959)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1344023879:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 5.87/1.72 % (1553959)Refutation not found, incomplete strategy
% 5.87/1.72 % (1553959)------------------------------
% 5.87/1.72 % (1553959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.72 % (1553959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.72 % (1553959)CaDiCaL version: 2.1.3
% 5.87/1.72 % (1553959)Termination reason: Refutation not found, incomplete strategy
% 5.87/1.72 % (1553959)Time elapsed: 0.003 s
% 5.87/1.72 % (1553959)Peak memory usage: 88 MB
% 5.87/1.72 % (1553959)Instructions burned: 3 (million)
% 5.87/1.72 % (1553926)Refutation found. Thanks to Tanya!
% 5.87/1.72 % SZS status Theorem for theBenchmark
% 5.87/1.72 % SZS output start Proof for theBenchmark
% See solution above
% 8.15/1.91 % (1553926)------------------------------
% 8.15/1.91 % (1553926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.15/1.91 % (1553926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.91 % (1553926)CaDiCaL version: 2.1.3
% 8.15/1.91 % (1553926)Termination reason: Refutation
% 8.15/1.91 % (1553926)Time elapsed: 0.676 s
% 8.15/1.91 % (1553926)Peak memory usage: 129 MB
% 8.15/1.91 % (1553926)Instructions burned: 995 (million)
% 8.15/1.91 % (1553926)------------------------------
% 8.15/1.91 % (1553926)------------------------------
% 8.15/1.91 % (1553921)Success in time 1.099 s
% 8.15/1.91 % Vampire exiting
%------------------------------------------------------------------------------