%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU042+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 12:51:50 PM UTC 2026
% Result : Theorem 0.16s 0.56s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 24
% Syntax : Number of formulae : 176 ( 30 unt; 18 def)
% Number of atoms : 655 ( 104 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 750 ( 271 ~; 374 |; 68 &)
% ( 26 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 19 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-3 aty)
% Number of variables : 149 ( 0 sgn 135 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,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(f7,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
<=> ! [X1,X2] :
( ( in(X1,relation_dom(X0))
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f8,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f15,axiom,
! [X0,X1] :
( ( relation(X0)
& function(X0) )
=> ( relation(relation_dom_restriction(X0,X1))
& function(relation_dom_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_funct_1) ).
fof(f37,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( X1 = relation_dom_restriction(X2,X0)
<=> ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X1,X3) = apply(X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t68_funct_1) ).
fof(f40,conjecture,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( one_to_one(X1)
=> one_to_one(relation_dom_restriction(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t84_funct_1) ).
fof(f41,negated_conjecture,
~ ! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( one_to_one(X1)
=> one_to_one(relation_dom_restriction(X1,X0)) ) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f51,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f52,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f51]) ).
fof(f53,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f58,plain,
! [X0,X1] :
( ( relation(relation_dom_restriction(X0,X1))
& function(relation_dom_restriction(X0,X1)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f59,plain,
! [X0,X1] :
( ( relation(relation_dom_restriction(X0,X1))
& function(relation_dom_restriction(X0,X1)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f58]) ).
fof(f71,plain,
! [X0,X1] :
( ! [X2] :
( ( X1 = relation_dom_restriction(X2,X0)
<=> ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) ) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f72,plain,
! [X0,X1] :
( ! [X2] :
( ( X1 = relation_dom_restriction(X2,X0)
<=> ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) ) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f71]) ).
fof(f75,plain,
? [X0,X1] :
( ~ one_to_one(relation_dom_restriction(X1,X0))
& one_to_one(X1)
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f76,plain,
? [X0,X1] :
( ~ one_to_one(relation_dom_restriction(X1,X0))
& one_to_one(X1)
& relation(X1)
& function(X1) ),
inference(flattening,[],[f75]) ).
fof(f78,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,[],[f6]) ).
fof(f79,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,[],[f78]) ).
fof(f80,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,[],[f79]) ).
fof(f81,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))],[f80]) ).
fof(f82,plain,
! [X0] :
( ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& in(X1,relation_dom(X0))
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) ) )
& ( ! [X1,X2] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2) )
| ~ one_to_one(X0) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f52]) ).
fof(f83,plain,
! [X0] :
( ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& in(X1,relation_dom(X0))
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ in(X3,relation_dom(X0))
| ~ in(X4,relation_dom(X0))
| apply(X0,X3) != apply(X0,X4) )
| ~ one_to_one(X0) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f82]) ).
fof(f84,plain,
! [X0] :
( ( ( one_to_one(X0)
| ( sK1(X0) != sK2(X0)
& in(sK1(X0),relation_dom(X0))
& in(sK2(X0),relation_dom(X0))
& apply(X0,sK1(X0)) = apply(X0,sK2(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ in(X3,relation_dom(X0))
| ~ in(X4,relation_dom(X0))
| apply(X0,X3) != apply(X0,X4) )
| ~ one_to_one(X0) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X1,sK1(X0)),skolemize(X2,sK2(X0))],[f83]) ).
fof(f96,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X1 = relation_dom_restriction(X2,X0)
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
| ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) ) )
& ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) ) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(nnf_transformation,[],[f72]) ).
fof(f97,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X1 = relation_dom_restriction(X2,X0)
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
| ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) ) )
& ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) ) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X1 = relation_dom_restriction(X2,X0)
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
| ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) ) )
& ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X4] :
( apply(X1,X4) = apply(X2,X4)
| ~ in(X4,relation_dom(X1)) ) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(rectify,[],[f97]) ).
fof(f99,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X1 = relation_dom_restriction(X2,X0)
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
| ( apply(X1,sK14(X1,X2)) != apply(X2,sK14(X1,X2))
& in(sK14(X1,X2),relation_dom(X1)) ) )
& ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X4] :
( apply(X1,X4) = apply(X2,X4)
| ~ in(X4,relation_dom(X1)) ) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X3,sK14(X1,X2))],[f98]) ).
fof(f100,plain,
( ~ one_to_one(relation_dom_restriction(sK16,sK15))
& one_to_one(sK16)
& relation(sK16)
& function(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16]),skolemize(X0,sK15),skolemize(X1,sK16)],[f76]) ).
fof(f109,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f81]) ).
fof(f114,plain,
! [X3,X0,X4] :
( X3 = X4
| ~ in(X3,relation_dom(X0))
| ~ in(X4,relation_dom(X0))
| apply(X0,X3) != apply(X0,X4)
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f115,plain,
! [X0] :
( one_to_one(X0)
| apply(X0,sK1(X0)) = apply(X0,sK2(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f116,plain,
! [X0] :
( one_to_one(X0)
| in(sK2(X0),relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f117,plain,
! [X0] :
( one_to_one(X0)
| in(sK1(X0),relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f118,plain,
! [X0] :
( one_to_one(X0)
| sK1(X0) != sK2(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f119,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f129,plain,
! [X0,X1] :
( function(relation_dom_restriction(X0,X1))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f164,plain,
! [X2,X0,X1,X4] :
( apply(X1,X4) = apply(X2,X4)
| ~ in(X4,relation_dom(X1))
| relation_dom_restriction(X2,X0) != X1
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f165,plain,
! [X2,X0,X1] :
( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
| relation_dom_restriction(X2,X0) != X1
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f170,plain,
function(sK16),
inference(cnf_transformation,[],[f100]) ).
fof(f171,plain,
relation(sK16),
inference(cnf_transformation,[],[f100]) ).
fof(f172,plain,
one_to_one(sK16),
inference(cnf_transformation,[],[f100]) ).
fof(f173,plain,
~ one_to_one(relation_dom_restriction(sK16,sK15)),
inference(cnf_transformation,[],[f100]) ).
fof(f176,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f109]) ).
fof(f178,plain,
! [X2,X0] :
( set_intersection2(relation_dom(X2),X0) = relation_dom(relation_dom_restriction(X2,X0))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(relation_dom_restriction(X2,X0))
| ~ function(relation_dom_restriction(X2,X0)) ),
inference(equality_resolution,[],[f165]) ).
fof(f179,plain,
! [X2,X0,X4] :
( apply(X2,X4) = apply(relation_dom_restriction(X2,X0),X4)
| ~ in(X4,relation_dom(relation_dom_restriction(X2,X0)))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(relation_dom_restriction(X2,X0))
| ~ function(relation_dom_restriction(X2,X0)) ),
inference(equality_resolution,[],[f164]) ).
fof(f185,plain,
! [X0] :
( sK1(X0) != sK2(X0)
| one_to_one(X0)
| relation(X0)
| function(X0) ),
inference(consistent_polarity_flipping,[],[f118]) ).
fof(f186,plain,
! [X0] :
( in(sK1(X0),relation_dom(X0))
| one_to_one(X0)
| relation(X0)
| function(X0) ),
inference(consistent_polarity_flipping,[],[f117]) ).
fof(f187,plain,
! [X0] :
( in(sK2(X0),relation_dom(X0))
| one_to_one(X0)
| relation(X0)
| function(X0) ),
inference(consistent_polarity_flipping,[],[f116]) ).
fof(f188,plain,
! [X0] :
( one_to_one(X0)
| apply(X0,sK1(X0)) = apply(X0,sK2(X0))
| relation(X0)
| function(X0) ),
inference(consistent_polarity_flipping,[],[f115]) ).
fof(f189,plain,
! [X3,X0,X4] :
( apply(X0,X3) != apply(X0,X4)
| ~ in(X3,relation_dom(X0))
| ~ in(X4,relation_dom(X0))
| X3 = X4
| ~ one_to_one(X0)
| relation(X0)
| function(X0) ),
inference(consistent_polarity_flipping,[],[f114]) ).
fof(f190,plain,
! [X0,X1] :
( ~ relation(relation_dom_restriction(X0,X1))
| relation(X0) ),
inference(consistent_polarity_flipping,[],[f119]) ).
fof(f201,plain,
! [X0,X1] :
( relation(X0)
| ~ function(relation_dom_restriction(X0,X1))
| function(X0) ),
inference(consistent_polarity_flipping,[],[f129]) ).
fof(f234,plain,
! [X2,X0] :
( relation(relation_dom_restriction(X2,X0))
| relation(X2)
| function(X2)
| set_intersection2(relation_dom(X2),X0) = relation_dom(relation_dom_restriction(X2,X0))
| function(relation_dom_restriction(X2,X0)) ),
inference(consistent_polarity_flipping,[],[f178]) ).
fof(f235,plain,
! [X2,X0,X4] :
( relation(relation_dom_restriction(X2,X0))
| ~ in(X4,relation_dom(relation_dom_restriction(X2,X0)))
| relation(X2)
| function(X2)
| apply(X2,X4) = apply(relation_dom_restriction(X2,X0),X4)
| function(relation_dom_restriction(X2,X0)) ),
inference(consistent_polarity_flipping,[],[f179]) ).
fof(f238,plain,
~ relation(sK16),
inference(consistent_polarity_flipping,[],[f171]) ).
fof(f239,plain,
~ function(sK16),
inference(consistent_polarity_flipping,[],[f170]) ).
fof(f773,definition,
( spl17_8
<=> function(relation_dom_restriction(sK16,sK15)) ),
introduced(definition,[new_symbols(definition,[spl17_8])],[avatar_definition]) ).
fof(f775,plain,
( function(relation_dom_restriction(sK16,sK15))
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f781,definition,
( spl17_10
<=> relation(relation_dom_restriction(sK16,sK15)) ),
introduced(definition,[new_symbols(definition,[spl17_10])],[avatar_definition]) ).
fof(f782,plain,
( ~ relation(relation_dom_restriction(sK16,sK15))
| spl17_10 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f783,plain,
( relation(relation_dom_restriction(sK16,sK15))
| ~ spl17_10 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f2430,plain,
! [X0] :
( ~ function(relation_dom_restriction(sK16,X0))
| function(sK16) ),
inference(resolution,[],[f201,f238]) ).
fof(f2432,definition,
( spl17_14
<=> function(sK16) ),
introduced(definition,[new_symbols(definition,[spl17_14])],[avatar_definition]) ).
fof(f2434,plain,
( function(sK16)
| ~ spl17_14 ),
inference(avatar_component_clause,[],[f2432]) ).
fof(f2436,definition,
( spl17_15
<=> ! [X0] : ~ function(relation_dom_restriction(sK16,X0)) ),
introduced(definition,[new_symbols(definition,[spl17_15])],[avatar_definition]) ).
fof(f2437,plain,
( ! [X0] : ~ function(relation_dom_restriction(sK16,X0))
| ~ spl17_15 ),
inference(avatar_component_clause,[],[f2436]) ).
fof(f2438,plain,
( spl17_14
| spl17_15 ),
inference(avatar_split_clause,[],[f2430,f2436,f2432]) ).
fof(f2579,plain,
( $false
| ~ spl17_14 ),
inference(resolution,[],[f2434,f239]) ).
fof(f2581,plain,
~ spl17_14,
inference(avatar_contradiction_clause,[],[f2579]) ).
fof(f2582,plain,
( $false
| ~ spl17_8
| ~ spl17_15 ),
inference(resolution,[],[f2437,f775]) ).
fof(f2583,plain,
( ~ spl17_8
| ~ spl17_15 ),
inference(avatar_contradiction_clause,[],[f2582]) ).
fof(f5106,plain,
( apply(relation_dom_restriction(sK16,sK15),sK1(relation_dom_restriction(sK16,sK15))) = apply(relation_dom_restriction(sK16,sK15),sK2(relation_dom_restriction(sK16,sK15)))
| relation(relation_dom_restriction(sK16,sK15))
| function(relation_dom_restriction(sK16,sK15)) ),
inference(resolution,[],[f188,f173]) ).
fof(f5108,definition,
( spl17_112
<=> apply(relation_dom_restriction(sK16,sK15),sK1(relation_dom_restriction(sK16,sK15))) = apply(relation_dom_restriction(sK16,sK15),sK2(relation_dom_restriction(sK16,sK15))) ),
introduced(definition,[new_symbols(definition,[spl17_112])],[avatar_definition]) ).
fof(f5110,plain,
( apply(relation_dom_restriction(sK16,sK15),sK1(relation_dom_restriction(sK16,sK15))) = apply(relation_dom_restriction(sK16,sK15),sK2(relation_dom_restriction(sK16,sK15)))
| ~ spl17_112 ),
inference(avatar_component_clause,[],[f5108]) ).
fof(f5111,plain,
( spl17_8
| spl17_10
| spl17_112 ),
inference(avatar_split_clause,[],[f5106,f5108,f781,f773]) ).
fof(f6293,plain,
( relation(sK16)
| function(sK16)
| set_intersection2(relation_dom(sK16),sK15) = relation_dom(relation_dom_restriction(sK16,sK15))
| function(relation_dom_restriction(sK16,sK15))
| spl17_10 ),
inference(resolution,[],[f234,f782]) ).
fof(f6298,definition,
( spl17_127
<=> set_intersection2(relation_dom(sK16),sK15) = relation_dom(relation_dom_restriction(sK16,sK15)) ),
introduced(definition,[new_symbols(definition,[spl17_127])],[avatar_definition]) ).
fof(f6300,plain,
( set_intersection2(relation_dom(sK16),sK15) = relation_dom(relation_dom_restriction(sK16,sK15))
| ~ spl17_127 ),
inference(avatar_component_clause,[],[f6298]) ).
fof(f6302,definition,
( spl17_128
<=> relation(sK16) ),
introduced(definition,[new_symbols(definition,[spl17_128])],[avatar_definition]) ).
fof(f6304,plain,
( relation(sK16)
| ~ spl17_128 ),
inference(avatar_component_clause,[],[f6302]) ).
fof(f6305,plain,
( spl17_8
| spl17_127
| spl17_14
| spl17_128
| spl17_10 ),
inference(avatar_split_clause,[],[f6293,f781,f6302,f2432,f6298,f773]) ).
fof(f6306,plain,
( $false
| ~ spl17_128 ),
inference(resolution,[],[f6304,f238]) ).
fof(f6308,plain,
~ spl17_128,
inference(avatar_contradiction_clause,[],[f6306]) ).
fof(f6309,plain,
( in(sK2(relation_dom_restriction(sK16,sK15)),set_intersection2(relation_dom(sK16),sK15))
| one_to_one(relation_dom_restriction(sK16,sK15))
| relation(relation_dom_restriction(sK16,sK15))
| function(relation_dom_restriction(sK16,sK15))
| ~ spl17_127 ),
inference(superposition,[],[f187,f6300]) ).
fof(f6310,plain,
( in(sK1(relation_dom_restriction(sK16,sK15)),set_intersection2(relation_dom(sK16),sK15))
| one_to_one(relation_dom_restriction(sK16,sK15))
| relation(relation_dom_restriction(sK16,sK15))
| function(relation_dom_restriction(sK16,sK15))
| ~ spl17_127 ),
inference(superposition,[],[f186,f6300]) ).
fof(f6320,definition,
( spl17_130
<=> one_to_one(relation_dom_restriction(sK16,sK15)) ),
introduced(definition,[new_symbols(definition,[spl17_130])],[avatar_definition]) ).
fof(f6322,plain,
( one_to_one(relation_dom_restriction(sK16,sK15))
| ~ spl17_130 ),
inference(avatar_component_clause,[],[f6320]) ).
fof(f6324,definition,
( spl17_131
<=> in(sK1(relation_dom_restriction(sK16,sK15)),set_intersection2(relation_dom(sK16),sK15)) ),
introduced(definition,[new_symbols(definition,[spl17_131])],[avatar_definition]) ).
fof(f6326,plain,
( in(sK1(relation_dom_restriction(sK16,sK15)),set_intersection2(relation_dom(sK16),sK15))
| ~ spl17_131 ),
inference(avatar_component_clause,[],[f6324]) ).
fof(f6327,plain,
( spl17_8
| spl17_10
| spl17_130
| spl17_131
| ~ spl17_127 ),
inference(avatar_split_clause,[],[f6310,f6298,f6324,f6320,f781,f773]) ).
fof(f6329,definition,
( spl17_132
<=> in(sK2(relation_dom_restriction(sK16,sK15)),set_intersection2(relation_dom(sK16),sK15)) ),
introduced(definition,[new_symbols(definition,[spl17_132])],[avatar_definition]) ).
fof(f6331,plain,
( in(sK2(relation_dom_restriction(sK16,sK15)),set_intersection2(relation_dom(sK16),sK15))
| ~ spl17_132 ),
inference(avatar_component_clause,[],[f6329]) ).
fof(f6332,plain,
( spl17_8
| spl17_10
| spl17_130
| spl17_132
| ~ spl17_127 ),
inference(avatar_split_clause,[],[f6309,f6298,f6329,f6320,f781,f773]) ).
fof(f6333,plain,
( $false
| ~ spl17_130 ),
inference(resolution,[],[f6322,f173]) ).
fof(f6334,plain,
~ spl17_130,
inference(avatar_contradiction_clause,[],[f6333]) ).
fof(f6338,plain,
( in(sK1(relation_dom_restriction(sK16,sK15)),relation_dom(sK16))
| ~ spl17_131 ),
inference(resolution,[],[f6326,f176]) ).
fof(f6348,plain,
( in(sK2(relation_dom_restriction(sK16,sK15)),relation_dom(sK16))
| ~ spl17_132 ),
inference(resolution,[],[f6331,f176]) ).
fof(f7399,plain,
( ! [X0] :
( ~ in(X0,relation_dom(relation_dom_restriction(sK16,sK15)))
| relation(sK16)
| function(sK16)
| apply(relation_dom_restriction(sK16,sK15),X0) = apply(sK16,X0)
| function(relation_dom_restriction(sK16,sK15)) )
| spl17_10 ),
inference(resolution,[],[f235,f782]) ).
fof(f7404,definition,
( spl17_225
<=> ! [X0] :
( ~ in(X0,relation_dom(relation_dom_restriction(sK16,sK15)))
| apply(relation_dom_restriction(sK16,sK15),X0) = apply(sK16,X0) ) ),
introduced(definition,[new_symbols(definition,[spl17_225])],[avatar_definition]) ).
fof(f7405,plain,
( ! [X0] :
( ~ in(X0,relation_dom(relation_dom_restriction(sK16,sK15)))
| apply(relation_dom_restriction(sK16,sK15),X0) = apply(sK16,X0) )
| ~ spl17_225 ),
inference(avatar_component_clause,[],[f7404]) ).
fof(f7406,plain,
( spl17_8
| spl17_14
| spl17_128
| spl17_225
| spl17_10 ),
inference(avatar_split_clause,[],[f7399,f781,f7404,f6302,f2432,f773]) ).
fof(f7409,plain,
( apply(relation_dom_restriction(sK16,sK15),sK1(relation_dom_restriction(sK16,sK15))) = apply(sK16,sK1(relation_dom_restriction(sK16,sK15)))
| one_to_one(relation_dom_restriction(sK16,sK15))
| relation(relation_dom_restriction(sK16,sK15))
| function(relation_dom_restriction(sK16,sK15))
| ~ spl17_225 ),
inference(resolution,[],[f7405,f186]) ).
fof(f7410,plain,
( apply(relation_dom_restriction(sK16,sK15),sK2(relation_dom_restriction(sK16,sK15))) = apply(sK16,sK2(relation_dom_restriction(sK16,sK15)))
| one_to_one(relation_dom_restriction(sK16,sK15))
| relation(relation_dom_restriction(sK16,sK15))
| function(relation_dom_restriction(sK16,sK15))
| ~ spl17_225 ),
inference(resolution,[],[f7405,f187]) ).
fof(f7428,definition,
( spl17_229
<=> apply(relation_dom_restriction(sK16,sK15),sK2(relation_dom_restriction(sK16,sK15))) = apply(sK16,sK2(relation_dom_restriction(sK16,sK15))) ),
introduced(definition,[new_symbols(definition,[spl17_229])],[avatar_definition]) ).
fof(f7430,plain,
( apply(relation_dom_restriction(sK16,sK15),sK2(relation_dom_restriction(sK16,sK15))) = apply(sK16,sK2(relation_dom_restriction(sK16,sK15)))
| ~ spl17_229 ),
inference(avatar_component_clause,[],[f7428]) ).
fof(f7431,plain,
( spl17_8
| spl17_10
| spl17_130
| spl17_229
| ~ spl17_225 ),
inference(avatar_split_clause,[],[f7410,f7404,f7428,f6320,f781,f773]) ).
fof(f7433,definition,
( spl17_230
<=> apply(relation_dom_restriction(sK16,sK15),sK1(relation_dom_restriction(sK16,sK15))) = apply(sK16,sK1(relation_dom_restriction(sK16,sK15))) ),
introduced(definition,[new_symbols(definition,[spl17_230])],[avatar_definition]) ).
fof(f7435,plain,
( apply(relation_dom_restriction(sK16,sK15),sK1(relation_dom_restriction(sK16,sK15))) = apply(sK16,sK1(relation_dom_restriction(sK16,sK15)))
| ~ spl17_230 ),
inference(avatar_component_clause,[],[f7433]) ).
fof(f7436,plain,
( spl17_8
| spl17_10
| spl17_130
| spl17_230
| ~ spl17_225 ),
inference(avatar_split_clause,[],[f7409,f7404,f7433,f6320,f781,f773]) ).
fof(f7472,plain,
( apply(relation_dom_restriction(sK16,sK15),sK1(relation_dom_restriction(sK16,sK15))) = apply(sK16,sK2(relation_dom_restriction(sK16,sK15)))
| ~ spl17_112
| ~ spl17_229 ),
inference(superposition,[],[f5110,f7430]) ).
fof(f7492,plain,
( apply(sK16,sK1(relation_dom_restriction(sK16,sK15))) = apply(sK16,sK2(relation_dom_restriction(sK16,sK15)))
| ~ spl17_112
| ~ spl17_229
| ~ spl17_230 ),
inference(superposition,[],[f7435,f7472]) ).
fof(f7495,plain,
( ! [X0] :
( apply(sK16,X0) != apply(sK16,sK1(relation_dom_restriction(sK16,sK15)))
| ~ in(X0,relation_dom(sK16))
| ~ in(sK2(relation_dom_restriction(sK16,sK15)),relation_dom(sK16))
| sK2(relation_dom_restriction(sK16,sK15)) = X0
| ~ one_to_one(sK16)
| relation(sK16)
| function(sK16) )
| ~ spl17_112
| ~ spl17_229
| ~ spl17_230 ),
inference(superposition,[],[f189,f7492]) ).
fof(f7498,definition,
( spl17_232
<=> one_to_one(sK16) ),
introduced(definition,[new_symbols(definition,[spl17_232])],[avatar_definition]) ).
fof(f7500,plain,
( ~ one_to_one(sK16)
| spl17_232 ),
inference(avatar_component_clause,[],[f7498]) ).
fof(f7502,definition,
( spl17_233
<=> in(sK2(relation_dom_restriction(sK16,sK15)),relation_dom(sK16)) ),
introduced(definition,[new_symbols(definition,[spl17_233])],[avatar_definition]) ).
fof(f7504,plain,
( ~ in(sK2(relation_dom_restriction(sK16,sK15)),relation_dom(sK16))
| spl17_233 ),
inference(avatar_component_clause,[],[f7502]) ).
fof(f7506,definition,
( spl17_234
<=> ! [X0] :
( apply(sK16,X0) != apply(sK16,sK1(relation_dom_restriction(sK16,sK15)))
| sK2(relation_dom_restriction(sK16,sK15)) = X0
| ~ in(X0,relation_dom(sK16)) ) ),
introduced(definition,[new_symbols(definition,[spl17_234])],[avatar_definition]) ).
fof(f7507,plain,
( ! [X0] :
( apply(sK16,X0) != apply(sK16,sK1(relation_dom_restriction(sK16,sK15)))
| sK2(relation_dom_restriction(sK16,sK15)) = X0
| ~ in(X0,relation_dom(sK16)) )
| ~ spl17_234 ),
inference(avatar_component_clause,[],[f7506]) ).
fof(f7509,plain,
( spl17_14
| spl17_128
| ~ spl17_232
| ~ spl17_233
| spl17_234
| ~ spl17_112
| ~ spl17_229
| ~ spl17_230 ),
inference(avatar_split_clause,[],[f7495,f7433,f7428,f5108,f7506,f7502,f7498,f6302,f2432]) ).
fof(f7510,plain,
( $false
| spl17_232 ),
inference(resolution,[],[f7500,f172]) ).
fof(f7513,plain,
spl17_232,
inference(avatar_contradiction_clause,[],[f7510]) ).
fof(f7816,plain,
( $false
| ~ spl17_132
| spl17_233 ),
inference(resolution,[],[f7504,f6348]) ).
fof(f7817,plain,
( ~ spl17_132
| spl17_233 ),
inference(avatar_contradiction_clause,[],[f7816]) ).
fof(f7957,plain,
( sK1(relation_dom_restriction(sK16,sK15)) = sK2(relation_dom_restriction(sK16,sK15))
| ~ in(sK1(relation_dom_restriction(sK16,sK15)),relation_dom(sK16))
| ~ spl17_234 ),
inference(equality_resolution,[],[f7507]) ).
fof(f7959,definition,
( spl17_245
<=> in(sK1(relation_dom_restriction(sK16,sK15)),relation_dom(sK16)) ),
introduced(definition,[new_symbols(definition,[spl17_245])],[avatar_definition]) ).
fof(f7961,plain,
( ~ in(sK1(relation_dom_restriction(sK16,sK15)),relation_dom(sK16))
| spl17_245 ),
inference(avatar_component_clause,[],[f7959]) ).
fof(f7963,definition,
( spl17_246
<=> sK1(relation_dom_restriction(sK16,sK15)) = sK2(relation_dom_restriction(sK16,sK15)) ),
introduced(definition,[new_symbols(definition,[spl17_246])],[avatar_definition]) ).
fof(f7965,plain,
( sK1(relation_dom_restriction(sK16,sK15)) = sK2(relation_dom_restriction(sK16,sK15))
| ~ spl17_246 ),
inference(avatar_component_clause,[],[f7963]) ).
fof(f7966,plain,
( ~ spl17_245
| spl17_246
| ~ spl17_234 ),
inference(avatar_split_clause,[],[f7957,f7506,f7963,f7959]) ).
fof(f7967,plain,
( $false
| ~ spl17_131
| spl17_245 ),
inference(resolution,[],[f7961,f6338]) ).
fof(f7968,plain,
( ~ spl17_131
| spl17_245 ),
inference(avatar_contradiction_clause,[],[f7967]) ).
fof(f7979,plain,
( sK1(relation_dom_restriction(sK16,sK15)) != sK1(relation_dom_restriction(sK16,sK15))
| one_to_one(relation_dom_restriction(sK16,sK15))
| relation(relation_dom_restriction(sK16,sK15))
| function(relation_dom_restriction(sK16,sK15))
| ~ spl17_246 ),
inference(superposition,[],[f185,f7965]) ).
fof(f7980,plain,
( one_to_one(relation_dom_restriction(sK16,sK15))
| relation(relation_dom_restriction(sK16,sK15))
| function(relation_dom_restriction(sK16,sK15))
| ~ spl17_246 ),
inference(trivial_inequality_removal,[],[f7979]) ).
fof(f7981,plain,
( spl17_8
| spl17_10
| spl17_130
| ~ spl17_246 ),
inference(avatar_split_clause,[],[f7980,f7963,f6320,f781,f773]) ).
fof(f7983,plain,
( relation(sK16)
| ~ spl17_10 ),
inference(resolution,[],[f783,f190]) ).
fof(f7985,plain,
( spl17_128
| ~ spl17_10 ),
inference(avatar_split_clause,[],[f7983,f781,f6302]) ).
cnf(s16,plain,
( spl17_14
| spl17_15 ),
inference(sat_conversion,[],[f2438]) ).
cnf(s63,plain,
~ spl17_14,
inference(sat_conversion,[],[f2581]) ).
cnf(s64,plain,
( ~ spl17_8
| ~ spl17_15 ),
inference(sat_conversion,[],[f2583]) ).
cnf(s220,plain,
( spl17_8
| spl17_10
| spl17_112 ),
inference(sat_conversion,[],[f5111]) ).
cnf(s236,plain,
( spl17_8
| spl17_10
| spl17_14
| spl17_127
| spl17_128 ),
inference(sat_conversion,[],[f6305]) ).
cnf(s237,plain,
~ spl17_128,
inference(sat_conversion,[],[f6308]) ).
cnf(s239,plain,
( spl17_8
| spl17_10
| ~ spl17_127
| spl17_130
| spl17_131 ),
inference(sat_conversion,[],[f6327]) ).
cnf(s240,plain,
( spl17_8
| spl17_10
| ~ spl17_127
| spl17_130
| spl17_132 ),
inference(sat_conversion,[],[f6332]) ).
cnf(s241,plain,
~ spl17_130,
inference(sat_conversion,[],[f6334]) ).
cnf(s340,plain,
( spl17_8
| spl17_10
| spl17_14
| spl17_128
| spl17_225 ),
inference(sat_conversion,[],[f7406]) ).
cnf(s343,plain,
( spl17_8
| spl17_10
| spl17_130
| ~ spl17_225
| spl17_229 ),
inference(sat_conversion,[],[f7431]) ).
cnf(s344,plain,
( spl17_8
| spl17_10
| spl17_130
| ~ spl17_225
| spl17_230 ),
inference(sat_conversion,[],[f7436]) ).
cnf(s349,plain,
( spl17_14
| ~ spl17_112
| spl17_128
| ~ spl17_229
| ~ spl17_230
| ~ spl17_232
| ~ spl17_233
| spl17_234 ),
inference(sat_conversion,[],[f7509]) ).
cnf(s350,plain,
spl17_232,
inference(sat_conversion,[],[f7513]) ).
cnf(s357,plain,
( ~ spl17_132
| spl17_233 ),
inference(sat_conversion,[],[f7817]) ).
cnf(s363,plain,
( ~ spl17_234
| ~ spl17_245
| spl17_246 ),
inference(sat_conversion,[],[f7966]) ).
cnf(s364,plain,
( ~ spl17_131
| spl17_245 ),
inference(sat_conversion,[],[f7968]) ).
cnf(s365,plain,
( spl17_8
| spl17_10
| spl17_130
| ~ spl17_246 ),
inference(sat_conversion,[],[f7981]) ).
cnf(s366,plain,
( ~ spl17_10
| spl17_128 ),
inference(sat_conversion,[],[f7985]) ).
cnf(s368,plain,
( spl17_14
| ~ spl17_112
| spl17_128
| ~ spl17_229
| ~ spl17_230
| ~ spl17_233
| spl17_234 ),
inference(rat,[],[s349,s350]) ).
cnf(s370,plain,
( spl17_8
| spl17_10
| ~ spl17_127
| spl17_132 ),
inference(rat,[],[s240,s241]) ).
cnf(s371,plain,
( spl17_8
| spl17_10
| ~ spl17_127
| spl17_131 ),
inference(rat,[],[s239,s241]) ).
cnf(s372,plain,
~ spl17_10,
inference(rat,[],[s366,s237]) ).
cnf(s373,plain,
( spl17_8
| spl17_14
| spl17_127 ),
inference(rat,[],[s236,s237,s372]) ).
cnf(s374,plain,
( spl17_8
| spl17_112 ),
inference(rat,[],[s220,s372]) ).
cnf(s515,plain,
spl17_15,
inference(rat,[],[s16,s63]) ).
cnf(s516,plain,
~ spl17_8,
inference(rat,[],[s64,s515]) ).
cnf(s517,plain,
~ spl17_246,
inference(rat,[],[s365,s372,s241,s516]) ).
cnf(s518,plain,
spl17_225,
inference(rat,[],[s340,s63,s237,s372,s516]) ).
cnf(s519,plain,
spl17_127,
inference(rat,[],[s373,s63,s516]) ).
cnf(s520,plain,
spl17_112,
inference(rat,[],[s374,s516]) ).
cnf(s522,plain,
spl17_230,
inference(rat,[],[s344,s516,s372,s241,s518]) ).
cnf(s523,plain,
spl17_229,
inference(rat,[],[s343,s516,s372,s241,s518]) ).
cnf(s527,plain,
spl17_132,
inference(rat,[],[s370,s516,s372,s519]) ).
cnf(s528,plain,
spl17_131,
inference(rat,[],[s371,s516,s372,s519]) ).
cnf(s529,plain,
spl17_233,
inference(rat,[],[s357,s527]) ).
cnf(s531,plain,
spl17_245,
inference(rat,[],[s364,s528]) ).
cnf(s532,plain,
spl17_234,
inference(rat,[],[s368,s523,s520,s522,s63,s237,s529]) ).
cnf(s534,plain,
$false,
inference(rat,[],[s363,s517,s531,s532]) ).
fof(f7987,plain,
$false,
inference(avatar_sat_refutation,[],[s534]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU042+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n002.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 03:28:52 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.56 % (4121582)Will run a generic schedule for satisfiability detection.
% 0.16/0.56 % (4121590)dis+10_1_sil=32000:sp=arity:random_seed=3447201101:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.56 % (4121588)% WARNING: option uhcvi not known.
% 0.16/0.56 % (4121587)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2291029019_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.56 % (4121588)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2987782602:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.56 % (4121589)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3792584224:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.56 % (4121592)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3576346170:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.56 % (4121591)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=173960581:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.56 % (4121593)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4053704479:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.56 % TRYING [1]
% 0.16/0.56 % TRYING [2]
% 0.16/0.56 % TRYING [3]
% 0.16/0.56 % TRYING [4]
% 0.16/0.56 % TRYING [5]
% 0.16/0.56 % (4121590)Instruction limit reached!
% 0.16/0.56 % (4121590)------------------------------
% 0.16/0.56 % (4121590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.56 % (4121590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.56 % (4121590)CaDiCaL version: 2.1.3
% 0.16/0.56 % (4121590)Termination reason: Instruction limit
% 0.16/0.56 % (4121590)Termination phase: Saturation
% 0.16/0.56 % (4121590)Time elapsed: 0.034 s
% 0.16/0.56 % (4121590)Peak memory usage: 12 MB
% 0.16/0.56 % (4121590)Instructions burned: 103 (million)
% 0.16/0.56 % (4121601)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=872724922:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.16/0.56 % TRYING [1]
% 0.16/0.56 % TRYING [2]
% 0.16/0.56 % TRYING [3]
% 0.16/0.56 % TRYING [4]
% 0.16/0.56 % TRYING [5]
% 0.16/0.56 % TRYING [6]
% 0.16/0.56 % TRYING [6]
% 0.16/0.56 % (4121591)Instruction limit reached!
% 0.16/0.56 % (4121591)------------------------------
% 0.16/0.56 % (4121591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.56 % (4121591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.56 % (4121591)CaDiCaL version: 2.1.3
% 0.16/0.56 % (4121591)Termination reason: Instruction limit
% 0.16/0.56 % (4121591)Termination phase: Saturation
% 0.16/0.56 % (4121591)Time elapsed: 0.071 s
% 0.16/0.56 % (4121591)Peak memory usage: 13 MB
% 0.16/0.56 % (4121591)Instructions burned: 122 (million)
% 0.16/0.56 % (4121592)Instruction limit reached!
% 0.16/0.56 % (4121592)------------------------------
% 0.16/0.56 % (4121592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.56 % (4121592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.56 % (4121592)CaDiCaL version: 2.1.3
% 0.16/0.56 % (4121592)Termination reason: Instruction limit
% 0.16/0.56 % (4121592)Termination phase: Saturation
% 0.16/0.56 % (4121592)Time elapsed: 0.076 s
% 0.16/0.56 % (4121592)Peak memory usage: 13 MB
% 0.16/0.56 % (4121592)Instructions burned: 132 (million)
% 0.16/0.56 % (4121593) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4121582-4121593"...
% 0.16/0.56 % (4121603)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=445568451:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.16/0.56 % (4121593)...printing done.
% 0.16/0.56 % (4121593)Refutation found. Thanks to Tanya!
% 0.16/0.56 % SZS status Theorem for theBenchmark
% 0.16/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.56 % (4121593)------------------------------
% 0.16/0.56 % (4121593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.56 % (4121593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.56 % (4121593)CaDiCaL version: 2.1.3
% 0.16/0.56 % (4121593)Termination reason: Refutation
% 0.16/0.56 % (4121593)Time elapsed: 0.091 s
% 0.16/0.56 % (4121593)Peak memory usage: 14 MB
% 0.16/0.56 % (4121593)Instructions burned: 155 (million)
% 0.16/0.56 % (4121582)Success in time 0.127 s
% 0.16/0.56 % Vampire exiting
%------------------------------------------------------------------------------