%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU007+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 12:47:03 PM UTC 2026
% Result : Theorem 4.15s 1.19s
% Output : Refutation 4.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 18
% Syntax : Number of formulae : 151 ( 29 unt; 12 def)
% Number of atoms : 590 ( 88 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 781 ( 342 ~; 358 |; 57 &)
% ( 16 <=>; 7 =>; 0 <=; 1 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 160 ( 0 sgn 148 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2] :
( X2 = set_intersection2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f15,axiom,
! [X0] :
( relation(identity_relation(X0))
& function(identity_relation(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_funct_1) ).
fof(f31,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_funct_1) ).
fof(f34,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
fof(f35,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( X1 = identity_relation(X0)
<=> ( relation_dom(X1) = X0
& ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_funct_1) ).
fof(f36,conjecture,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> relation_dom(relation_composition(identity_relation(X0),X1)) = set_intersection2(relation_dom(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_funct_1) ).
fof(f37,negated_conjecture,
~ ! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> relation_dom(relation_composition(identity_relation(X0),X1)) = set_intersection2(relation_dom(X1),X0) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f67,plain,
! [X0,X1] :
( ! [X2] :
( ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f68,plain,
! [X0,X1] :
( ! [X2] :
( ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f67]) ).
fof(f71,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( in(X2,X0)
<~> in(X2,X1) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f72,plain,
! [X0,X1] :
( ( X1 = identity_relation(X0)
<=> ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f73,plain,
! [X0,X1] :
( ( X1 = identity_relation(X0)
<=> ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
? [X0,X1] :
( relation_dom(relation_composition(identity_relation(X0),X1)) != set_intersection2(relation_dom(X1),X0)
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f75,plain,
? [X0,X1] :
( relation_dom(relation_composition(identity_relation(X0),X1)) != set_intersection2(relation_dom(X1),X0)
& relation(X1)
& function(X1) ),
inference(flattening,[],[f74]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(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_intersection2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(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_intersection2(X0,X1) != X2 ) ),
inference(flattening,[],[f83]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(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_intersection2(X0,X1) != X2 ) ),
inference(rectify,[],[f84]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ( ( ~ in(sK0(X0,X1,X2),X0)
| ~ in(sK0(X0,X1,X2),X1)
| ~ in(sK0(X0,X1,X2),X2) )
& ( ( in(sK0(X0,X1,X2),X0)
& in(sK0(X0,X1,X2),X1) )
| in(sK0(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[f85]) ).
fof(f96,plain,
! [X0,X1] :
( ! [X2] :
( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
| ~ in(X0,relation_dom(X2))
| ~ in(apply(X2,X0),relation_dom(X1)) )
& ( ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) )
| ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(nnf_transformation,[],[f68]) ).
fof(f97,plain,
! [X0,X1] :
( ! [X2] :
( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
| ~ in(X0,relation_dom(X2))
| ~ in(apply(X2,X0),relation_dom(X1)) )
& ( ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) )
| ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f71]) ).
fof(f99,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ in(sK10(X0,X1),X1)
| ~ in(sK10(X0,X1),X0) )
& ( in(sK10(X0,X1),X1)
| in(sK10(X0,X1),X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0,X1))],[f98]) ).
fof(f100,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| relation_dom(X1) != X0
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) ) )
& ( ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(nnf_transformation,[],[f73]) ).
fof(f101,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| relation_dom(X1) != X0
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) ) )
& ( ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| relation_dom(X1) != X0
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) ) )
& ( ( relation_dom(X1) = X0
& ! [X3] :
( apply(X1,X3) = X3
| ~ in(X3,X0) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(rectify,[],[f101]) ).
fof(f103,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| relation_dom(X1) != X0
| ( sK11(X0,X1) != apply(X1,sK11(X0,X1))
& in(sK11(X0,X1),X0) ) )
& ( ( relation_dom(X1) = X0
& ! [X3] :
( apply(X1,X3) = X3
| ~ in(X3,X0) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0,X1))],[f102]) ).
fof(f104,plain,
( relation_dom(relation_composition(identity_relation(sK12),sK13)) != set_intersection2(relation_dom(sK13),sK12)
& relation(sK13)
& function(sK13) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X0,sK12),skolemize(X1,sK13)],[f75]) ).
fof(f109,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f86]) ).
fof(f110,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f86]) ).
fof(f111,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f86]) ).
fof(f127,plain,
! [X0] : function(identity_relation(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f128,plain,
! [X0] : relation(identity_relation(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(relation_composition(X2,X1)))
| in(apply(X2,X0),relation_dom(X1))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f153,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(relation_composition(X2,X1)))
| in(X0,relation_dom(X2))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_dom(X2))
| in(X0,relation_dom(relation_composition(X2,X1)))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f157,plain,
! [X0,X1] :
( in(sK10(X0,X1),X1)
| in(sK10(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f99]) ).
fof(f158,plain,
! [X0,X1] :
( ~ in(sK10(X0,X1),X1)
| X0 = X1
| ~ in(sK10(X0,X1),X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f159,plain,
! [X3,X0,X1] :
( apply(X1,X3) = X3
| ~ in(X3,X0)
| identity_relation(X0) != X1
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f160,plain,
! [X0,X1] :
( relation_dom(X1) = X0
| identity_relation(X0) != X1
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f163,plain,
function(sK13),
inference(cnf_transformation,[],[f104]) ).
fof(f164,plain,
relation(sK13),
inference(cnf_transformation,[],[f104]) ).
fof(f165,plain,
relation_dom(relation_composition(identity_relation(sK12),sK13)) != set_intersection2(relation_dom(sK13),sK12),
inference(cnf_transformation,[],[f104]) ).
fof(f172,plain,
! [X0,X1,X4] :
( in(X4,set_intersection2(X0,X1))
| ~ in(X4,X0)
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f111]) ).
fof(f173,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f110]) ).
fof(f174,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X1) ),
inference(equality_resolution,[],[f109]) ).
fof(f177,plain,
! [X0] :
( ~ relation(identity_relation(X0))
| relation_dom(identity_relation(X0)) = X0
| ~ function(identity_relation(X0)) ),
inference(equality_resolution,[],[f160]) ).
fof(f178,plain,
! [X3,X0] :
( ~ relation(identity_relation(X0))
| ~ in(X3,X0)
| apply(identity_relation(X0),X3) = X3
| ~ function(identity_relation(X0)) ),
inference(equality_resolution,[],[f159]) ).
fof(f179,definition,
sF14 = identity_relation(sK12),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f180,plain,
identity_relation(sK12) = sF14,
inference(reorient_equations,[],[f179]) ).
fof(f181,definition,
sF15 = relation_composition(sF14,sK13),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f182,plain,
relation_composition(sF14,sK13) = sF15,
inference(reorient_equations,[],[f181]) ).
fof(f183,definition,
sF16 = relation_dom(sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f184,plain,
relation_dom(sF15) = sF16,
inference(reorient_equations,[],[f183]) ).
fof(f185,definition,
sF17 = relation_dom(sK13),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f186,plain,
relation_dom(sK13) = sF17,
inference(reorient_equations,[],[f185]) ).
fof(f187,definition,
sF18 = set_intersection2(sF17,sK12),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f188,plain,
set_intersection2(sF17,sK12) = sF18,
inference(reorient_equations,[],[f187]) ).
fof(f189,plain,
sF16 != sF18,
inference(definition_folding,[],[f165,f188,f186,f184,f182,f180]) ).
fof(f190,plain,
( ~ relation(sF14)
| sK12 = relation_dom(sF14)
| ~ function(sF14) ),
inference(superposition,[],[f177,f180]) ).
fof(f192,definition,
( spl19_1
<=> function(sF14) ),
introduced(definition,[new_symbols(definition,[spl19_1])],[avatar_definition]) ).
fof(f193,plain,
( function(sF14)
| ~ spl19_1 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f194,plain,
( ~ function(sF14)
| spl19_1 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f196,definition,
( spl19_2
<=> sK12 = relation_dom(sF14) ),
introduced(definition,[new_symbols(definition,[spl19_2])],[avatar_definition]) ).
fof(f198,plain,
( sK12 = relation_dom(sF14)
| ~ spl19_2 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f200,definition,
( spl19_3
<=> relation(sF14) ),
introduced(definition,[new_symbols(definition,[spl19_3])],[avatar_definition]) ).
fof(f201,plain,
( relation(sF14)
| ~ spl19_3 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f202,plain,
( ~ relation(sF14)
| spl19_3 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f203,plain,
( ~ spl19_1
| spl19_2
| ~ spl19_3 ),
inference(avatar_split_clause,[],[f190,f200,f196,f192]) ).
fof(f204,plain,
! [X0] :
( ~ relation(sF14)
| ~ in(X0,sK12)
| apply(sF14,X0) = X0
| ~ function(sF14) ),
inference(superposition,[],[f178,f180]) ).
fof(f205,plain,
! [X0] :
( ~ in(X0,sF18)
| in(X0,sF17) ),
inference(superposition,[],[f173,f188]) ).
fof(f206,plain,
! [X0] :
( ~ in(X0,sF18)
| in(X0,sK12) ),
inference(superposition,[],[f174,f188]) ).
fof(f210,plain,
! [X0] :
( ~ in(X0,sF17)
| in(X0,sF18)
| ~ in(X0,sK12) ),
inference(superposition,[],[f172,f188]) ).
fof(f211,plain,
! [X0] :
( ~ in(X0,relation_dom(sF15))
| in(X0,relation_dom(sF14))
| ~ relation(sF14)
| ~ function(sF14)
| ~ relation(sK13)
| ~ function(sK13) ),
inference(superposition,[],[f153,f182]) ).
fof(f212,plain,
function(sF14),
inference(superposition,[],[f127,f180]) ).
fof(f213,plain,
( $false
| spl19_1 ),
inference(forward_subsumption_resolution,[],[f212,f194]) ).
fof(f214,plain,
spl19_1,
inference(avatar_contradiction_clause,[],[f213]) ).
fof(f222,plain,
! [X0] :
( in(sK10(X0,sF18),sF17)
| in(sK10(X0,sF18),X0)
| sF18 = X0 ),
inference(resolution,[],[f157,f205]) ).
fof(f231,plain,
! [X0,X1] :
( ~ in(apply(X0,X1),sF17)
| ~ in(X1,relation_dom(X0))
| in(X1,relation_dom(relation_composition(X0,sK13)))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(sK13)
| ~ function(sK13) ),
inference(superposition,[],[f154,f186]) ).
fof(f245,plain,
! [X0,X1] :
( ~ in(apply(X0,X1),sF17)
| ~ in(X1,relation_dom(X0))
| in(X1,relation_dom(relation_composition(X0,sK13)))
| ~ relation(X0)
| ~ function(X0)
| ~ function(sK13) ),
inference(forward_subsumption_resolution,[],[f231,f164]) ).
fof(f246,plain,
! [X0,X1] :
( in(X1,relation_dom(relation_composition(X0,sK13)))
| ~ in(X1,relation_dom(X0))
| ~ in(apply(X0,X1),sF17)
| ~ relation(X0)
| ~ function(X0) ),
inference(forward_subsumption_resolution,[],[f245,f163]) ).
fof(f249,plain,
relation(sF14),
inference(superposition,[],[f128,f180]) ).
fof(f250,plain,
( $false
| spl19_3 ),
inference(forward_subsumption_resolution,[],[f249,f202]) ).
fof(f251,plain,
spl19_3,
inference(avatar_contradiction_clause,[],[f250]) ).
fof(f254,plain,
( ! [X0] :
( ~ in(X0,sK12)
| apply(sF14,X0) = X0
| ~ function(sF14) )
| ~ spl19_3 ),
inference(forward_subsumption_resolution,[],[f204,f201]) ).
fof(f255,plain,
( ! [X0] :
( ~ in(X0,relation_dom(sF15))
| in(X0,relation_dom(sF14))
| ~ function(sF14)
| ~ relation(sK13)
| ~ function(sK13) )
| ~ spl19_3 ),
inference(forward_subsumption_resolution,[],[f211,f201]) ).
fof(f257,plain,
( ! [X0] :
( ~ in(X0,sK12)
| apply(sF14,X0) = X0 )
| ~ spl19_1
| ~ spl19_3 ),
inference(forward_subsumption_resolution,[],[f254,f193]) ).
fof(f258,plain,
( ! [X0] :
( ~ in(X0,relation_dom(sF15))
| in(X0,relation_dom(sF14))
| ~ relation(sK13)
| ~ function(sK13) )
| ~ spl19_1
| ~ spl19_3 ),
inference(forward_subsumption_resolution,[],[f255,f193]) ).
fof(f260,plain,
( ! [X0] :
( ~ in(X0,relation_dom(sF15))
| in(X0,relation_dom(sF14))
| ~ function(sK13) )
| ~ spl19_1
| ~ spl19_3 ),
inference(forward_subsumption_resolution,[],[f258,f164]) ).
fof(f262,plain,
( ! [X0] :
( ~ in(X0,relation_dom(sF15))
| in(X0,relation_dom(sF14)) )
| ~ spl19_1
| ~ spl19_3 ),
inference(forward_subsumption_resolution,[],[f260,f163]) ).
fof(f264,plain,
( ! [X0] :
( ~ in(X0,sF16)
| in(X0,relation_dom(sF14)) )
| ~ spl19_1
| ~ spl19_3 ),
inference(forward_demodulation,[],[f262,f184]) ).
fof(f267,plain,
( ! [X0] :
( ~ in(X0,sF16)
| in(X0,sK12) )
| ~ spl19_1
| ~ spl19_2
| ~ spl19_3 ),
inference(forward_demodulation,[],[f264,f198]) ).
fof(f269,plain,
( ! [X0] :
( in(sK10(sF16,X0),sK12)
| in(sK10(sF16,X0),X0)
| sF16 = X0 )
| ~ spl19_1
| ~ spl19_2
| ~ spl19_3 ),
inference(resolution,[],[f267,f157]) ).
fof(f275,plain,
( in(sK10(sF16,sF18),sK12)
| sF16 = sF18
| in(sK10(sF16,sF18),sK12)
| ~ spl19_1
| ~ spl19_2
| ~ spl19_3 ),
inference(resolution,[],[f269,f206]) ).
fof(f278,plain,
( in(sK10(sF16,sF18),sK12)
| sF16 = sF18
| ~ spl19_1
| ~ spl19_2
| ~ spl19_3 ),
inference(duplicate_literal_removal,[],[f275]) ).
fof(f291,plain,
( in(sK10(sF16,sF18),sK12)
| ~ spl19_1
| ~ spl19_2
| ~ spl19_3 ),
inference(forward_subsumption_resolution,[],[f278,f189]) ).
fof(f293,definition,
( spl19_9
<=> in(sK10(sF16,sF18),sF17) ),
introduced(definition,[new_symbols(definition,[spl19_9])],[avatar_definition]) ).
fof(f294,plain,
( ~ in(sK10(sF16,sF18),sF17)
| spl19_9 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f297,definition,
( spl19_10
<=> in(sK10(sF16,sF18),sK12) ),
introduced(definition,[new_symbols(definition,[spl19_10])],[avatar_definition]) ).
fof(f299,plain,
( in(sK10(sF16,sF18),sK12)
| ~ spl19_10 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f301,plain,
( spl19_10
| ~ spl19_1
| ~ spl19_2
| ~ spl19_3 ),
inference(avatar_split_clause,[],[f291,f200,f196,f192,f297]) ).
fof(f346,plain,
! [X0] :
( ~ in(X0,relation_dom(sF15))
| in(apply(sF14,X0),relation_dom(sK13))
| ~ relation(sF14)
| ~ function(sF14)
| ~ relation(sK13)
| ~ function(sK13) ),
inference(superposition,[],[f152,f182]) ).
fof(f347,plain,
( ! [X0] :
( ~ in(X0,relation_dom(sF15))
| in(apply(sF14,X0),relation_dom(sK13))
| ~ function(sF14)
| ~ relation(sK13)
| ~ function(sK13) )
| ~ spl19_3 ),
inference(forward_subsumption_resolution,[],[f346,f201]) ).
fof(f350,plain,
( ! [X0] :
( ~ in(X0,relation_dom(sF15))
| in(apply(sF14,X0),relation_dom(sK13))
| ~ relation(sK13)
| ~ function(sK13) )
| ~ spl19_1
| ~ spl19_3 ),
inference(forward_subsumption_resolution,[],[f347,f193]) ).
fof(f353,plain,
( ! [X0] :
( ~ in(X0,relation_dom(sF15))
| in(apply(sF14,X0),relation_dom(sK13))
| ~ function(sK13) )
| ~ spl19_1
| ~ spl19_3 ),
inference(forward_subsumption_resolution,[],[f350,f164]) ).
fof(f356,plain,
( ! [X0] :
( ~ in(X0,relation_dom(sF15))
| in(apply(sF14,X0),relation_dom(sK13)) )
| ~ spl19_1
| ~ spl19_3 ),
inference(forward_subsumption_resolution,[],[f353,f163]) ).
fof(f357,plain,
( ! [X0] :
( ~ in(X0,sF16)
| in(apply(sF14,X0),relation_dom(sK13)) )
| ~ spl19_1
| ~ spl19_3 ),
inference(forward_demodulation,[],[f356,f184]) ).
fof(f417,plain,
! [X0] :
( in(X0,relation_dom(sF15))
| ~ in(X0,relation_dom(sF14))
| ~ in(apply(sF14,X0),sF17)
| ~ relation(sF14)
| ~ function(sF14) ),
inference(superposition,[],[f246,f182]) ).
fof(f420,plain,
( ! [X0] :
( in(X0,relation_dom(sF15))
| ~ in(X0,relation_dom(sF14))
| ~ in(apply(sF14,X0),sF17)
| ~ function(sF14) )
| ~ spl19_3 ),
inference(forward_subsumption_resolution,[],[f417,f201]) ).
fof(f422,plain,
( ! [X0] :
( in(X0,relation_dom(sF15))
| ~ in(X0,relation_dom(sF14))
| ~ in(apply(sF14,X0),sF17) )
| ~ spl19_1
| ~ spl19_3 ),
inference(forward_subsumption_resolution,[],[f420,f193]) ).
fof(f424,plain,
( ! [X0] :
( in(X0,sF16)
| ~ in(X0,relation_dom(sF14))
| ~ in(apply(sF14,X0),sF17) )
| ~ spl19_1
| ~ spl19_3 ),
inference(forward_demodulation,[],[f422,f184]) ).
fof(f575,plain,
( ! [X0] :
( in(apply(sF14,X0),sF17)
| ~ in(X0,sF16) )
| ~ spl19_1
| ~ spl19_3 ),
inference(forward_demodulation,[],[f357,f186]) ).
fof(f578,plain,
( ! [X0] :
( ~ in(apply(sF14,X0),sF17)
| in(X0,sF16)
| ~ in(X0,sK12) )
| ~ spl19_1
| ~ spl19_2
| ~ spl19_3 ),
inference(forward_demodulation,[],[f424,f198]) ).
fof(f638,plain,
( sK10(sF16,sF18) = apply(sF14,sK10(sF16,sF18))
| ~ spl19_1
| ~ spl19_3
| ~ spl19_10 ),
inference(resolution,[],[f299,f257]) ).
fof(f643,plain,
( ! [X0] :
( ~ in(apply(sF14,X0),sK12)
| in(apply(sF14,X0),sF18)
| ~ in(X0,sF16) )
| ~ spl19_1
| ~ spl19_3 ),
inference(resolution,[],[f575,f210]) ).
fof(f878,plain,
( ~ in(sK10(sF16,sF18),sF17)
| in(sK10(sF16,sF18),sF16)
| ~ in(sK10(sF16,sF18),sK12)
| ~ spl19_1
| ~ spl19_2
| ~ spl19_3
| ~ spl19_10 ),
inference(superposition,[],[f578,f638]) ).
fof(f879,plain,
( in(sK10(sF16,sF18),sF17)
| ~ in(sK10(sF16,sF18),sF16)
| ~ spl19_1
| ~ spl19_3
| ~ spl19_10 ),
inference(superposition,[],[f575,f638]) ).
fof(f885,plain,
( ~ in(sK10(sF16,sF18),sF17)
| in(sK10(sF16,sF18),sF16)
| ~ spl19_1
| ~ spl19_2
| ~ spl19_3
| ~ spl19_10 ),
inference(forward_subsumption_resolution,[],[f878,f299]) ).
fof(f897,plain,
( ~ in(sK10(sF16,sF18),sK12)
| in(sK10(sF16,sF18),sF18)
| ~ in(sK10(sF16,sF18),sF16)
| ~ spl19_1
| ~ spl19_3
| ~ spl19_10 ),
inference(superposition,[],[f643,f638]) ).
fof(f898,plain,
( in(sK10(sF16,sF18),sF18)
| ~ in(sK10(sF16,sF18),sF16)
| ~ spl19_1
| ~ spl19_2
| ~ spl19_3
| ~ spl19_10 ),
inference(forward_subsumption_resolution,[],[f897,f267]) ).
fof(f1170,definition,
( spl19_49
<=> in(sK10(sF16,sF18),sF16) ),
introduced(definition,[new_symbols(definition,[spl19_49])],[avatar_definition]) ).
fof(f1171,plain,
( in(sK10(sF16,sF18),sF16)
| ~ spl19_49 ),
inference(avatar_component_clause,[],[f1170]) ).
fof(f1172,plain,
( ~ in(sK10(sF16,sF18),sF16)
| spl19_49 ),
inference(avatar_component_clause,[],[f1170]) ).
fof(f1173,plain,
( ~ spl19_49
| spl19_9
| ~ spl19_1
| ~ spl19_3
| ~ spl19_10 ),
inference(avatar_split_clause,[],[f879,f297,f200,f192,f293,f1170]) ).
fof(f1174,plain,
( spl19_49
| ~ spl19_9
| ~ spl19_1
| ~ spl19_2
| ~ spl19_3
| ~ spl19_10 ),
inference(avatar_split_clause,[],[f885,f297,f200,f196,f192,f293,f1170]) ).
fof(f1178,definition,
( spl19_50
<=> in(sK10(sF16,sF18),sF18) ),
introduced(definition,[new_symbols(definition,[spl19_50])],[avatar_definition]) ).
fof(f1180,plain,
( in(sK10(sF16,sF18),sF18)
| ~ spl19_50 ),
inference(avatar_component_clause,[],[f1178]) ).
fof(f1181,plain,
( ~ spl19_49
| spl19_50
| ~ spl19_1
| ~ spl19_2
| ~ spl19_3
| ~ spl19_10 ),
inference(avatar_split_clause,[],[f898,f297,f200,f196,f192,f1178,f1170]) ).
fof(f1204,plain,
( in(sK10(sF16,sF18),sF17)
| sF16 = sF18
| spl19_49 ),
inference(resolution,[],[f1172,f222]) ).
fof(f1206,plain,
( sF16 = sF18
| spl19_9
| spl19_49 ),
inference(forward_subsumption_resolution,[],[f1204,f294]) ).
fof(f1207,plain,
( $false
| spl19_9
| spl19_49 ),
inference(forward_subsumption_resolution,[],[f1206,f189]) ).
fof(f1208,plain,
( spl19_9
| spl19_49 ),
inference(avatar_contradiction_clause,[],[f1207]) ).
fof(f1213,plain,
( sF16 = sF18
| ~ in(sK10(sF16,sF18),sF16)
| ~ spl19_50 ),
inference(resolution,[],[f1180,f158]) ).
fof(f1217,plain,
( ~ in(sK10(sF16,sF18),sF16)
| ~ spl19_50 ),
inference(forward_subsumption_resolution,[],[f1213,f189]) ).
fof(f1218,plain,
( $false
| ~ spl19_49
| ~ spl19_50 ),
inference(forward_subsumption_resolution,[],[f1217,f1171]) ).
fof(f1219,plain,
( ~ spl19_49
| ~ spl19_50 ),
inference(avatar_contradiction_clause,[],[f1218]) ).
cnf(s1,plain,
( ~ spl19_1
| spl19_2
| ~ spl19_3 ),
inference(sat_conversion,[],[f203]) ).
cnf(s2,plain,
spl19_1,
inference(sat_conversion,[],[f214]) ).
cnf(s4,plain,
spl19_3,
inference(sat_conversion,[],[f251]) ).
cnf(s8,plain,
( ~ spl19_1
| ~ spl19_2
| ~ spl19_3
| spl19_10 ),
inference(sat_conversion,[],[f301]) ).
cnf(s45,plain,
( ~ spl19_1
| ~ spl19_3
| spl19_9
| ~ spl19_10
| ~ spl19_49 ),
inference(sat_conversion,[],[f1173]) ).
cnf(s46,plain,
( ~ spl19_1
| ~ spl19_2
| ~ spl19_3
| ~ spl19_9
| ~ spl19_10
| spl19_49 ),
inference(sat_conversion,[],[f1174]) ).
cnf(s47,plain,
( ~ spl19_1
| ~ spl19_2
| ~ spl19_3
| ~ spl19_10
| ~ spl19_49
| spl19_50 ),
inference(sat_conversion,[],[f1181]) ).
cnf(s51,plain,
( spl19_9
| spl19_49 ),
inference(sat_conversion,[],[f1208]) ).
cnf(s52,plain,
( ~ spl19_49
| ~ spl19_50 ),
inference(sat_conversion,[],[f1219]) ).
cnf(s57,plain,
spl19_2,
inference(rat,[],[s1,s4,s2]) ).
cnf(s59,plain,
spl19_10,
inference(rat,[],[s8,s2,s4,s57]) ).
cnf(s60,plain,
spl19_9,
inference(rat,[],[s45,s51,s4,s2,s59]) ).
cnf(s62,plain,
spl19_49,
inference(rat,[],[s46,s59,s57,s2,s4,s60]) ).
cnf(s63,plain,
~ spl19_50,
inference(rat,[],[s52,s62]) ).
cnf(s65,plain,
$false,
inference(rat,[],[s47,s59,s57,s2,s4,s63,s62]) ).
fof(f1220,plain,
$false,
inference(avatar_sat_refutation,[],[s65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU007+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Mon Sep 28 03:21:34 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.15/1.19 % (2986561)Detected formulas, will run a generic FOF schedule.
% 4.15/1.19 % (2986571)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1097388097:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.15/1.19 % (2986570)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3738102115:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.15/1.19 % (2986567)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=4021783776:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.15/1.19 % (2986569)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1290852584:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.15/1.19 % (2986566)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=2759309355:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.15/1.19 % (2986568)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=4080055191:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.15/1.19 % (2986569)Refutation not found, incomplete strategy
% 4.15/1.19 % (2986569)------------------------------
% 4.15/1.19 % (2986569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.19 % (2986569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.19 % (2986569)CaDiCaL version: 2.1.3
% 4.15/1.19 % (2986569)Termination reason: Refutation not found, incomplete strategy
% 4.15/1.19 % (2986569)Time elapsed: 0.001 s
% 4.15/1.19 % (2986569)Peak memory usage: 88 MB
% 4.15/1.19 % (2986569)Instructions burned: 2 (million)
% 4.15/1.19 % (2986572)dis-21_1_sil=8000:lcm=predicate:random_seed=8594509:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.15/1.19 % (2986570)Instruction limit reached!
% 4.15/1.19 % (2986570)------------------------------
% 4.15/1.19 % (2986570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.19 % (2986570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.19 % (2986570)CaDiCaL version: 2.1.3
% 4.15/1.19 % (2986570)Termination reason: Instruction limit
% 4.15/1.19 % (2986570)Termination phase: Saturation
% 4.15/1.19 % (2986570)Time elapsed: 0.034 s
% 4.15/1.19 % (2986570)Peak memory usage: 88 MB
% 4.15/1.19 % (2986570)Instructions burned: 120 (million)
% 4.15/1.19 % (2986571)Instruction limit reached!
% 4.15/1.19 % (2986571)------------------------------
% 4.15/1.19 % (2986571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.19 % (2986571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.19 % (2986571)CaDiCaL version: 2.1.3
% 4.15/1.19 % (2986571)Termination reason: Instruction limit
% 4.15/1.19 % (2986571)Termination phase: Saturation
% 4.15/1.19 % (2986571)Time elapsed: 0.053 s
% 4.15/1.19 % (2986571)Peak memory usage: 90 MB
% 4.15/1.19 % (2986571)Instructions burned: 140 (million)
% 4.15/1.19 % (2986572)Instruction limit reached!
% 4.15/1.19 % (2986572)------------------------------
% 4.15/1.19 % (2986572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.19 % (2986572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.19 % (2986572)CaDiCaL version: 2.1.3
% 4.15/1.19 % (2986572)Termination reason: Instruction limit
% 4.15/1.19 % (2986572)Termination phase: Saturation
% 4.15/1.19 % (2986572)Time elapsed: 0.041 s
% 4.15/1.19 % (2986572)Peak memory usage: 91 MB
% 4.15/1.19 % (2986572)Instructions burned: 129 (million)
% 4.15/1.19 % (2986580)lrs+10_1_sil=8000:sp=occurrence:random_seed=579029036:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.15/1.19 % (2986581)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3075271123:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 4.15/1.19 % (2986569)------------------------------
% 4.15/1.19 % (2986569)------------------------------
% 4.15/1.19 % (2986582)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2016152075:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 4.15/1.19 % (2986581)Instruction limit reached!
% 4.15/1.19 % (2986581)------------------------------
% 4.15/1.19 % (2986581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.19 % (2986581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.19 % (2986581)CaDiCaL version: 2.1.3
% 4.15/1.19 % (2986581)Termination reason: Instruction limit
% 4.15/1.19 % (2986581)Termination phase: Saturation
% 4.15/1.19 % (2986581)Time elapsed: 0.043 s
% 4.15/1.19 % (2986581)Peak memory usage: 90 MB
% 4.15/1.19 % (2986581)Instructions burned: 158 (million)
% 4.15/1.19 % (2986580)Instruction limit reached!
% 4.15/1.19 % (2986580)------------------------------
% 4.15/1.19 % (2986580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.19 % (2986580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.19 % (2986580)CaDiCaL version: 2.1.3
% 4.15/1.19 % (2986580)Termination reason: Instruction limit
% 4.15/1.19 % (2986580)Termination phase: Saturation
% 4.15/1.19 % (2986580)Time elapsed: 0.089 s
% 4.15/1.19 % (2986580)Peak memory usage: 91 MB
% 4.15/1.19 % (2986580)Instructions burned: 288 (million)
% 4.15/1.19 % (2986586)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=1260592773:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.15/1.19 % (2986582)Instruction limit reached!
% 4.15/1.19 % (2986582)------------------------------
% 4.15/1.19 % (2986582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.19 % (2986582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.19 % (2986582)CaDiCaL version: 2.1.3
% 4.15/1.19 % (2986582)Termination reason: Instruction limit
% 4.15/1.19 % (2986582)Termination phase: Saturation
% 4.15/1.19 % (2986582)Time elapsed: 0.108 s
% 4.15/1.19 % (2986582)Peak memory usage: 91 MB
% 4.15/1.19 % (2986582)Instructions burned: 325 (million)
% 4.15/1.19 % (2986587)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2603212025:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2997 on theBenchmark for (2997ds/294Mi)
% 4.15/1.19 % (2986587)Refutation not found, incomplete strategy
% 4.15/1.19 % (2986587)------------------------------
% 4.15/1.19 % (2986587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.19 % (2986587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.19 % (2986587)CaDiCaL version: 2.1.3
% 4.15/1.19 % (2986587)Termination reason: Refutation not found, incomplete strategy
% 4.15/1.19 % (2986587)Time elapsed: 0.001 s
% 4.15/1.19 % (2986587)Peak memory usage: 88 MB
% 4.15/1.19 % (2986587)Instructions burned: 2 (million)
% 4.15/1.19 % (2986588)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2270282221:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 4.15/1.19 % (2986586)Instruction limit reached!
% 4.15/1.19 % (2986586)------------------------------
% 4.15/1.19 % (2986586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.19 % (2986586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.19 % (2986586)CaDiCaL version: 2.1.3
% 4.15/1.19 % (2986586)Termination reason: Instruction limit
% 4.15/1.19 % (2986586)Termination phase: Saturation
% 4.15/1.19 % (2986586)Time elapsed: 0.072 s
% 4.15/1.19 % (2986586)Peak memory usage: 93 MB
% 4.15/1.19 % (2986586)Instructions burned: 248 (million)
% 4.15/1.19 % (2986591)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=812909058:cts=off:i=113:fsr=off:ss=included:sgt=4_2996 on theBenchmark for (2996ds/113Mi)
% 4.15/1.19 % (2986566)First to succeed.
% 4.15/1.19 % (2986566)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2986561"
% 4.15/1.19 % (2986591)Instruction limit reached!
% 4.15/1.19 % (2986591)------------------------------
% 4.15/1.19 % (2986591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.19 % (2986591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.19 % (2986591)CaDiCaL version: 2.1.3
% 4.15/1.19 % (2986591)Termination reason: Instruction limit
% 4.15/1.19 % (2986591)Termination phase: Saturation
% 4.15/1.19 % (2986591)Time elapsed: 0.041 s
% 4.15/1.19 % (2986591)Peak memory usage: 91 MB
% 4.15/1.19 % (2986591)Instructions burned: 113 (million)
% 4.15/1.19 % (2986587)------------------------------
% 4.15/1.19 % (2986587)------------------------------
% 4.15/1.19 % (2986593)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2028455718:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 4.15/1.19 % (2986593)Instruction limit reached!
% 4.15/1.19 % (2986593)------------------------------
% 4.15/1.19 % (2986593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.19 % (2986593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.19 % (2986593)CaDiCaL version: 2.1.3
% 4.15/1.19 % (2986593)Termination reason: Instruction limit
% 4.15/1.19 % (2986593)Termination phase: Saturation
% 4.15/1.19 % (2986593)Time elapsed: 0.036 s
% 4.15/1.19 % (2986593)Peak memory usage: 89 MB
% 4.15/1.19 % (2986593)Instructions burned: 128 (million)
% 4.15/1.19 % (2986595)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=329744814:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 4.15/1.19 % (2986596)lrs+10_1_sil=8000:sp=occurrence:random_seed=2329769788:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2994 on theBenchmark for (2994ds/907Mi)
% 4.15/1.19 % (2986595)Instruction limit reached!
% 4.15/1.19 % (2986595)------------------------------
% 4.15/1.19 % (2986595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.19 % (2986595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.19 % (2986595)CaDiCaL version: 2.1.3
% 4.15/1.19 % (2986595)Termination reason: Instruction limit
% 4.15/1.19 % (2986595)Termination phase: Saturation
% 4.15/1.19 % (2986595)Time elapsed: 0.032 s
% 4.15/1.19 % (2986595)Peak memory usage: 89 MB
% 4.15/1.19 % (2986595)Instructions burned: 115 (million)
% 4.15/1.19 % (2986566)Refutation found. Thanks to Tanya!
% 4.15/1.19 % SZS status Theorem for theBenchmark
% 4.15/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 4.87/1.28 % (2986566)------------------------------
% 4.87/1.28 % (2986566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.28 % (2986566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.28 % (2986566)CaDiCaL version: 2.1.3
% 4.87/1.28 % (2986566)Termination reason: Refutation
% 4.87/1.28 % (2986566)Time elapsed: 0.405 s
% 4.87/1.28 % (2986566)Peak memory usage: 129 MB
% 4.87/1.28 % (2986566)Instructions burned: 1069 (million)
% 4.87/1.28 % (2986566)------------------------------
% 4.87/1.28 % (2986566)------------------------------
% 4.87/1.28 % (2986561)Success in time 0.668 s
% 4.87/1.28 % Vampire exiting
%------------------------------------------------------------------------------