%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET805+4 : 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 : n019.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 12:44:39 PM UTC 2026
% Result : Theorem 54.02s 8.10s
% Output : Refutation 54.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 92 ( 11 unt; 4 def)
% Number of atoms : 408 ( 15 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 507 ( 191 ~; 211 |; 79 &)
% ( 11 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 205 ( 0 sgn 187 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).
fof(f12,axiom,
! [X0,X1] :
( order(X0,X1)
<=> ( ! [X2] :
( member(X2,X1)
=> apply(X0,X2,X2) )
& ! [X2,X3] :
( ( member(X2,X1)
& member(X3,X1) )
=> ( ( apply(X0,X2,X3)
& apply(X0,X3,X2) )
=> X2 = X3 ) )
& ! [X2,X3,X4] :
( ( member(X2,X1)
& member(X3,X1)
& member(X4,X1) )
=> ( ( apply(X0,X2,X3)
& apply(X0,X3,X4) )
=> apply(X0,X2,X4) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax',order) ).
fof(f22,conjecture,
! [X0,X1] :
( order(X0,X1)
=> ! [X2] :
( subset(X2,X1)
=> order(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIV17) ).
fof(f23,negated_conjecture,
~ ! [X0,X1] :
( order(X0,X1)
=> ! [X2] :
( subset(X2,X1)
=> order(X0,X2) ) ),
inference(negated_conjecture,[status(cth)],[f22]) ).
fof(f24,plain,
! [X0,X1] :
( order(X0,X1)
<=> ( ! [X2] :
( member(X2,X1)
=> apply(X0,X2,X2) )
& ! [X3,X4] :
( ( member(X3,X1)
& member(X4,X1) )
=> ( ( apply(X0,X3,X4)
& apply(X0,X4,X3) )
=> X3 = X4 ) )
& ! [X5,X6,X7] :
( ( member(X5,X1)
& member(X6,X1)
& member(X7,X1) )
=> ( ( apply(X0,X5,X6)
& apply(X0,X6,X7) )
=> apply(X0,X5,X7) ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f25,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f27,plain,
! [X0,X1] :
( order(X0,X1)
<=> ( ! [X2] :
( apply(X0,X2,X2)
| ~ member(X2,X1) )
& ! [X3,X4] :
( X3 = X4
| ~ apply(X0,X3,X4)
| ~ apply(X0,X4,X3)
| ~ member(X3,X1)
| ~ member(X4,X1) )
& ! [X5,X6,X7] :
( apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| ~ apply(X0,X6,X7)
| ~ member(X5,X1)
| ~ member(X6,X1)
| ~ member(X7,X1) ) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f28,plain,
! [X0,X1] :
( order(X0,X1)
<=> ( ! [X2] :
( apply(X0,X2,X2)
| ~ member(X2,X1) )
& ! [X3,X4] :
( X3 = X4
| ~ apply(X0,X3,X4)
| ~ apply(X0,X4,X3)
| ~ member(X3,X1)
| ~ member(X4,X1) )
& ! [X5,X6,X7] :
( apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| ~ apply(X0,X6,X7)
| ~ member(X5,X1)
| ~ member(X6,X1)
| ~ member(X7,X1) ) ) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
? [X0,X1] :
( ? [X2] :
( ~ order(X0,X2)
& subset(X2,X1) )
& order(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f30,definition,
! [X0,X1] :
( sP0(X0,X1)
<=> ! [X5,X6,X7] :
( apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| ~ apply(X0,X6,X7)
| ~ member(X5,X1)
| ~ member(X6,X1)
| ~ member(X7,X1) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f31,definition,
! [X0,X1] :
( sP1(X0,X1)
<=> ! [X3,X4] :
( X3 = X4
| ~ apply(X0,X3,X4)
| ~ apply(X0,X4,X3)
| ~ member(X3,X1)
| ~ member(X4,X1) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f32,plain,
! [X0,X1] :
( order(X0,X1)
<=> ( ! [X2] :
( apply(X0,X2,X2)
| ~ member(X2,X1) )
& sP1(X0,X1)
& sP0(X0,X1) ) ),
inference(definition_folding,[],[f28,f31,f30]) ).
fof(f33,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f34,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK2(X0,X1),X1)
& member(sK2(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f34]) ).
fof(f52,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X3,X4] :
( X3 != X4
& apply(X0,X3,X4)
& apply(X0,X4,X3)
& member(X3,X1)
& member(X4,X1) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ apply(X0,X3,X4)
| ~ apply(X0,X4,X3)
| ~ member(X3,X1)
| ~ member(X4,X1) )
| ~ sP1(X0,X1) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f53,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X2,X3] :
( X2 != X3
& apply(X0,X2,X3)
& apply(X0,X3,X2)
& member(X2,X1)
& member(X3,X1) ) )
& ( ! [X4,X5] :
( X4 = X5
| ~ apply(X0,X4,X5)
| ~ apply(X0,X5,X4)
| ~ member(X4,X1)
| ~ member(X5,X1) )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f52]) ).
fof(f54,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( sK5(X0,X1) != sK6(X0,X1)
& apply(X0,sK5(X0,X1),sK6(X0,X1))
& apply(X0,sK6(X0,X1),sK5(X0,X1))
& member(sK5(X0,X1),X1)
& member(sK6(X0,X1),X1) ) )
& ( ! [X4,X5] :
( X4 = X5
| ~ apply(X0,X4,X5)
| ~ apply(X0,X5,X4)
| ~ member(X4,X1)
| ~ member(X5,X1) )
| ~ sP1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X2,sK5(X0,X1)),skolemize(X3,sK6(X0,X1))],[f53]) ).
fof(f55,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X5,X6,X7] :
( ~ apply(X0,X5,X7)
& apply(X0,X5,X6)
& apply(X0,X6,X7)
& member(X5,X1)
& member(X6,X1)
& member(X7,X1) ) )
& ( ! [X5,X6,X7] :
( apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| ~ apply(X0,X6,X7)
| ~ member(X5,X1)
| ~ member(X6,X1)
| ~ member(X7,X1) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f56,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2,X3,X4] :
( ~ apply(X0,X2,X4)
& apply(X0,X2,X3)
& apply(X0,X3,X4)
& member(X2,X1)
& member(X3,X1)
& member(X4,X1) ) )
& ( ! [X5,X6,X7] :
( apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| ~ apply(X0,X6,X7)
| ~ member(X5,X1)
| ~ member(X6,X1)
| ~ member(X7,X1) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f55]) ).
fof(f57,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ~ apply(X0,sK7(X0,X1),sK9(X0,X1))
& apply(X0,sK7(X0,X1),sK8(X0,X1))
& apply(X0,sK8(X0,X1),sK9(X0,X1))
& member(sK7(X0,X1),X1)
& member(sK8(X0,X1),X1)
& member(sK9(X0,X1),X1) ) )
& ( ! [X5,X6,X7] :
( apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| ~ apply(X0,X6,X7)
| ~ member(X5,X1)
| ~ member(X6,X1)
| ~ member(X7,X1) )
| ~ sP0(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X2,sK7(X0,X1)),skolemize(X3,sK8(X0,X1)),skolemize(X4,sK9(X0,X1))],[f56]) ).
fof(f58,plain,
! [X0,X1] :
( ( order(X0,X1)
| ? [X2] :
( ~ apply(X0,X2,X2)
& member(X2,X1) )
| ~ sP1(X0,X1)
| ~ sP0(X0,X1) )
& ( ( ! [X2] :
( apply(X0,X2,X2)
| ~ member(X2,X1) )
& sP1(X0,X1)
& sP0(X0,X1) )
| ~ order(X0,X1) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f59,plain,
! [X0,X1] :
( ( order(X0,X1)
| ? [X2] :
( ~ apply(X0,X2,X2)
& member(X2,X1) )
| ~ sP1(X0,X1)
| ~ sP0(X0,X1) )
& ( ( ! [X2] :
( apply(X0,X2,X2)
| ~ member(X2,X1) )
& sP1(X0,X1)
& sP0(X0,X1) )
| ~ order(X0,X1) ) ),
inference(flattening,[],[f58]) ).
fof(f60,plain,
! [X0,X1] :
( ( order(X0,X1)
| ? [X2] :
( ~ apply(X0,X2,X2)
& member(X2,X1) )
| ~ sP1(X0,X1)
| ~ sP0(X0,X1) )
& ( ( ! [X3] :
( apply(X0,X3,X3)
| ~ member(X3,X1) )
& sP1(X0,X1)
& sP0(X0,X1) )
| ~ order(X0,X1) ) ),
inference(rectify,[],[f59]) ).
fof(f61,plain,
! [X0,X1] :
( ( order(X0,X1)
| ( ~ apply(X0,sK10(X0,X1),sK10(X0,X1))
& member(sK10(X0,X1),X1) )
| ~ sP1(X0,X1)
| ~ sP0(X0,X1) )
& ( ( ! [X3] :
( apply(X0,X3,X3)
| ~ member(X3,X1) )
& sP1(X0,X1)
& sP0(X0,X1) )
| ~ order(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0,X1))],[f60]) ).
fof(f62,plain,
( ~ order(sK11,sK13)
& subset(sK13,sK12)
& order(sK11,sK12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13]),skolemize(X0,sK11),skolemize(X1,sK12),skolemize(X2,sK13)],[f29]) ).
fof(f63,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f89,plain,
! [X0,X1,X4,X5] :
( ~ apply(X0,X5,X4)
| ~ apply(X0,X4,X5)
| X4 = X5
| ~ member(X4,X1)
| ~ member(X5,X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f90,plain,
! [X0,X1] :
( member(sK6(X0,X1),X1)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f91,plain,
! [X0,X1] :
( member(sK5(X0,X1),X1)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f92,plain,
! [X0,X1] :
( apply(X0,sK6(X0,X1),sK5(X0,X1))
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f93,plain,
! [X0,X1] :
( apply(X0,sK5(X0,X1),sK6(X0,X1))
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f94,plain,
! [X0,X1] :
( sP1(X0,X1)
| sK5(X0,X1) != sK6(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f95,plain,
! [X0,X1,X6,X7,X5] :
( ~ apply(X0,X6,X7)
| ~ apply(X0,X5,X6)
| apply(X0,X5,X7)
| ~ member(X5,X1)
| ~ member(X6,X1)
| ~ member(X7,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f96,plain,
! [X0,X1] :
( member(sK9(X0,X1),X1)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f97,plain,
! [X0,X1] :
( member(sK8(X0,X1),X1)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f98,plain,
! [X0,X1] :
( member(sK7(X0,X1),X1)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f99,plain,
! [X0,X1] :
( apply(X0,sK8(X0,X1),sK9(X0,X1))
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f100,plain,
! [X0,X1] :
( apply(X0,sK7(X0,X1),sK8(X0,X1))
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f101,plain,
! [X0,X1] :
( ~ apply(X0,sK7(X0,X1),sK9(X0,X1))
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f102,plain,
! [X0,X1] :
( ~ order(X0,X1)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f103,plain,
! [X0,X1] :
( ~ order(X0,X1)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f104,plain,
! [X3,X0,X1] :
( ~ order(X0,X1)
| ~ member(X3,X1)
| apply(X0,X3,X3) ),
inference(cnf_transformation,[],[f61]) ).
fof(f105,plain,
! [X0,X1] :
( member(sK10(X0,X1),X1)
| order(X0,X1)
| ~ sP1(X0,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f106,plain,
! [X0,X1] :
( ~ apply(X0,sK10(X0,X1),sK10(X0,X1))
| order(X0,X1)
| ~ sP1(X0,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f107,plain,
order(sK11,sK12),
inference(cnf_transformation,[],[f62]) ).
fof(f108,plain,
subset(sK13,sK12),
inference(cnf_transformation,[],[f62]) ).
fof(f109,plain,
~ order(sK11,sK13),
inference(cnf_transformation,[],[f62]) ).
fof(f113,plain,
sP0(sK11,sK12),
inference(resolution,[],[f102,f107]) ).
fof(f114,plain,
sP1(sK11,sK12),
inference(resolution,[],[f103,f107]) ).
fof(f164,plain,
! [X0] :
( ~ member(X0,sK13)
| member(X0,sK12) ),
inference(resolution,[],[f63,f108]) ).
fof(f168,plain,
! [X0] :
( member(sK5(X0,sK13),sK12)
| sP1(X0,sK13) ),
inference(resolution,[],[f164,f91]) ).
fof(f169,plain,
! [X0] :
( member(sK6(X0,sK13),sK12)
| sP1(X0,sK13) ),
inference(resolution,[],[f164,f90]) ).
fof(f170,plain,
! [X0] :
( member(sK7(X0,sK13),sK12)
| sP0(X0,sK13) ),
inference(resolution,[],[f164,f98]) ).
fof(f171,plain,
! [X0] :
( member(sK8(X0,sK13),sK12)
| sP0(X0,sK13) ),
inference(resolution,[],[f164,f97]) ).
fof(f172,plain,
! [X0] :
( member(sK9(X0,sK13),sK12)
| sP0(X0,sK13) ),
inference(resolution,[],[f164,f96]) ).
fof(f221,plain,
! [X0] :
( apply(sK11,X0,X0)
| ~ member(X0,sK12) ),
inference(resolution,[],[f104,f107]) ).
fof(f273,plain,
! [X0] :
( member(sK10(X0,sK13),sK12)
| ~ sP1(X0,sK13)
| ~ sP0(X0,sK13)
| order(X0,sK13) ),
inference(resolution,[],[f105,f164]) ).
fof(f277,plain,
! [X0] :
( ~ member(sK10(sK11,X0),sK12)
| ~ sP1(sK11,X0)
| ~ sP0(sK11,X0)
| order(sK11,X0) ),
inference(resolution,[],[f106,f221]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ apply(X0,sK5(X0,X1),sK6(X0,X1))
| sK5(X0,X1) = sK6(X0,X1)
| ~ member(sK5(X0,X1),X2)
| ~ member(sK6(X0,X1),X2)
| ~ sP1(X0,X2)
| sP1(X0,X1) ),
inference(resolution,[],[f89,f92]) ).
fof(f285,plain,
! [X2,X0,X1] :
( sK5(X0,X1) = sK6(X0,X1)
| ~ member(sK5(X0,X1),X2)
| ~ member(sK6(X0,X1),X2)
| ~ sP1(X0,X2)
| sP1(X0,X1) ),
inference(forward_subsumption_resolution,[],[f281,f93]) ).
fof(f287,plain,
! [X2,X0,X1] :
( ~ member(sK6(X0,X1),X2)
| ~ member(sK5(X0,X1),X2)
| ~ sP1(X0,X2)
| sP1(X0,X1) ),
inference(forward_subsumption_resolution,[],[f285,f94]) ).
fof(f295,plain,
! [X2,X3,X0,X1] :
( ~ apply(X0,X1,sK8(X0,X2))
| apply(X0,X1,sK9(X0,X2))
| ~ member(X1,X3)
| ~ member(sK8(X0,X2),X3)
| ~ member(sK9(X0,X2),X3)
| ~ sP0(X0,X3)
| sP0(X0,X2) ),
inference(resolution,[],[f95,f99]) ).
fof(f301,plain,
( ~ sP1(sK11,sK13)
| ~ sP0(sK11,sK13)
| order(sK11,sK13)
| ~ sP1(sK11,sK13)
| ~ sP0(sK11,sK13)
| order(sK11,sK13) ),
inference(resolution,[],[f277,f273]) ).
fof(f304,plain,
( ~ sP1(sK11,sK13)
| ~ sP0(sK11,sK13)
| order(sK11,sK13) ),
inference(duplicate_literal_removal,[],[f301]) ).
fof(f305,plain,
( ~ sP1(sK11,sK13)
| ~ sP0(sK11,sK13) ),
inference(forward_subsumption_resolution,[],[f304,f109]) ).
fof(f307,definition,
( spl14_1
<=> sP0(sK11,sK13) ),
introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).
fof(f309,plain,
( ~ sP0(sK11,sK13)
| spl14_1 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f311,definition,
( spl14_2
<=> sP1(sK11,sK13) ),
introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).
fof(f313,plain,
( ~ sP1(sK11,sK13)
| spl14_2 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f314,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f305,f311,f307]) ).
fof(f2249,plain,
! [X0] :
( ~ member(sK5(X0,sK13),sK12)
| ~ sP1(X0,sK12)
| sP1(X0,sK13)
| sP1(X0,sK13) ),
inference(resolution,[],[f287,f169]) ).
fof(f2279,plain,
! [X0] :
( ~ member(sK5(X0,sK13),sK12)
| ~ sP1(X0,sK12)
| sP1(X0,sK13) ),
inference(duplicate_literal_removal,[],[f2249]) ).
fof(f2288,plain,
! [X0] :
( sP1(X0,sK13)
| ~ sP1(X0,sK12) ),
inference(forward_subsumption_resolution,[],[f2279,f168]) ).
fof(f2433,plain,
( ~ sP1(sK11,sK12)
| spl14_2 ),
inference(resolution,[],[f2288,f313]) ).
fof(f2434,plain,
( $false
| spl14_2 ),
inference(forward_subsumption_resolution,[],[f2433,f114]) ).
fof(f2435,plain,
spl14_2,
inference(avatar_contradiction_clause,[],[f2434]) ).
fof(f3194,plain,
! [X2,X0,X1] :
( apply(X0,sK7(X0,X1),sK9(X0,X1))
| ~ member(sK7(X0,X1),X2)
| ~ member(sK8(X0,X1),X2)
| ~ member(sK9(X0,X1),X2)
| ~ sP0(X0,X2)
| sP0(X0,X1)
| sP0(X0,X1) ),
inference(resolution,[],[f295,f100]) ).
fof(f3195,plain,
! [X2,X0,X1] :
( apply(X0,sK7(X0,X1),sK9(X0,X1))
| ~ member(sK7(X0,X1),X2)
| ~ member(sK8(X0,X1),X2)
| ~ member(sK9(X0,X1),X2)
| ~ sP0(X0,X2)
| sP0(X0,X1) ),
inference(duplicate_literal_removal,[],[f3194]) ).
fof(f3197,plain,
! [X2,X0,X1] :
( ~ member(sK9(X0,X1),X2)
| ~ member(sK8(X0,X1),X2)
| ~ member(sK7(X0,X1),X2)
| ~ sP0(X0,X2)
| sP0(X0,X1) ),
inference(forward_subsumption_resolution,[],[f3195,f101]) ).
fof(f107018,plain,
! [X0] :
( ~ member(sK8(X0,sK13),sK12)
| ~ member(sK7(X0,sK13),sK12)
| ~ sP0(X0,sK12)
| sP0(X0,sK13)
| sP0(X0,sK13) ),
inference(resolution,[],[f3197,f172]) ).
fof(f107149,plain,
! [X0] :
( ~ member(sK8(X0,sK13),sK12)
| ~ member(sK7(X0,sK13),sK12)
| ~ sP0(X0,sK12)
| sP0(X0,sK13) ),
inference(duplicate_literal_removal,[],[f107018]) ).
fof(f107245,plain,
! [X0] :
( ~ member(sK7(X0,sK13),sK12)
| ~ sP0(X0,sK12)
| sP0(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f107149,f171]) ).
fof(f107336,plain,
! [X0] :
( sP0(X0,sK13)
| ~ sP0(X0,sK12) ),
inference(forward_subsumption_resolution,[],[f107245,f170]) ).
fof(f107765,plain,
( ~ sP0(sK11,sK12)
| spl14_1 ),
inference(resolution,[],[f107336,f309]) ).
fof(f107766,plain,
( $false
| spl14_1 ),
inference(forward_subsumption_resolution,[],[f107765,f113]) ).
fof(f107767,plain,
spl14_1,
inference(avatar_contradiction_clause,[],[f107766]) ).
cnf(s1,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(sat_conversion,[],[f314]) ).
cnf(s45,plain,
spl14_2,
inference(sat_conversion,[],[f2435]) ).
cnf(s12846,plain,
spl14_1,
inference(sat_conversion,[],[f107767]) ).
cnf(s13647,plain,
$false,
inference(rat,[],[s1,s45,s12846]) ).
fof(f107768,plain,
$false,
inference(avatar_sat_refutation,[],[s13647]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET805+4 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n019.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 28 02:51:03 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 16.20/2.70 % (3618776)Will run a generic schedule for satisfiability detection.
% 16.20/2.70 % (3618786)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=557779860:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.20/2.70 % (3618781)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2771747322_2999 on theBenchmark for (2999ds/0Mi)
% 16.20/2.70 % (3618783)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1291444830:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.20/2.70 % (3618784)dis+10_1_sil=32000:sp=arity:random_seed=603461479:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.20/2.70 % (3618785)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3923773974:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.20/2.70 % (3618787)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3039759843:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.20/2.70 % (3618782)% WARNING: option uhcvi not known.
% 16.20/2.70 % TRYING [1]
% 16.20/2.70 % TRYING [2]
% 16.20/2.70 % TRYING [3]
% 16.20/2.70 % (3618782)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=174424158:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.20/2.70 % TRYING [4]
% 16.20/2.70 % TRYING [5]
% 16.20/2.70 % TRYING [6]
% 16.20/2.70 % (3618786)Instruction limit reached!
% 16.20/2.70 % (3618786)------------------------------
% 16.20/2.70 % (3618786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.20/2.70 % (3618786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.20/2.70 % (3618786)CaDiCaL version: 2.1.3
% 16.20/2.70 % (3618786)Termination reason: Instruction limit
% 16.20/2.70 % (3618786)Termination phase: Saturation
% 16.20/2.70 % (3618786)Time elapsed: 0.042 s
% 16.20/2.70 % (3618786)Peak memory usage: 13 MB
% 16.20/2.70 % (3618786)Instructions burned: 133 (million)
% 16.20/2.70 % (3618795)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3689718372:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.20/2.70 % TRYING [1]
% 16.20/2.70 % TRYING [2]
% 16.20/2.70 % TRYING [3]
% 16.20/2.70 % TRYING [4]
% 16.20/2.70 % TRYING [7]
% 16.20/2.70 % TRYING [5]
% 16.20/2.70 % (3618784)Instruction limit reached!
% 16.20/2.70 % (3618784)------------------------------
% 16.20/2.70 % (3618784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.20/2.70 % (3618784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.20/2.70 % (3618784)CaDiCaL version: 2.1.3
% 16.20/2.70 % (3618784)Termination reason: Instruction limit
% 16.20/2.70 % (3618784)Termination phase: Saturation
% 16.20/2.70 % (3618784)Time elapsed: 0.060 s
% 16.20/2.70 % (3618784)Peak memory usage: 12 MB
% 16.20/2.70 % (3618784)Instructions burned: 103 (million)
% 16.20/2.70 % (3618785)Instruction limit reached!
% 16.20/2.70 % (3618785)------------------------------
% 16.20/2.70 % (3618785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.20/2.70 % (3618785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.20/2.70 % (3618785)CaDiCaL version: 2.1.3
% 16.20/2.70 % (3618785)Termination reason: Instruction limit
% 16.20/2.70 % (3618785)Termination phase: Saturation
% 16.20/2.70 % (3618785)Time elapsed: 0.070 s
% 16.20/2.70 % (3618785)Peak memory usage: 12 MB
% 16.20/2.70 % (3618785)Instructions burned: 117 (million)
% 16.20/2.70 % TRYING [6]
% 16.20/2.70 % (3618797)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2974781064:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 16.20/2.70 % (3618798)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2178874307:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.20/2.70 % (3618787)Instruction limit reached!
% 16.20/2.70 % (3618787)------------------------------
% 16.20/2.70 % (3618787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.20/2.70 % (3618787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.20/2.70 % (3618787)CaDiCaL version: 2.1.3
% 16.20/2.70 % (3618787)Termination reason: Instruction limit
% 16.20/2.70 % (3618787)Termination phase: Saturation
% 16.20/2.70 % (3618787)Time elapsed: 0.103 s
% 16.20/2.70 % (3618787)Peak memory usage: 13 MB
% 16.20/2.70 % (3618787)Instructions burned: 160 (million)
% 16.20/2.70 % TRYING [8]
% 16.20/2.70 % TRYING [7]
% 16.20/2.70 % (3618801)ott-21_1_sil=16000:fs=off:random_seed=3613509919:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.20/2.70 % (3618797)Instruction limit reached!
% 16.20/2.70 % (3618797)------------------------------
% 16.20/2.70 % (3618797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.66/7.02 % (3618797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.66/7.02 % (3618797)CaDiCaL version: 2.1.3
% 45.66/7.02 % (3618797)Termination reason: Instruction limit
% 45.66/7.02 % (3618797)Termination phase: Saturation
% 45.66/7.02 % (3618797)Time elapsed: 0.092 s
% 45.66/7.02 % (3618797)Peak memory usage: 14 MB
% 45.66/7.02 % (3618797)Instructions burned: 132 (million)
% 45.66/7.02 % (3618803)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1549706213:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 45.66/7.02 % (3618795)Instruction limit reached!
% 45.66/7.02 % (3618795)------------------------------
% 45.66/7.02 % (3618795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.66/7.02 % (3618795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.66/7.02 % (3618795)CaDiCaL version: 2.1.3
% 45.66/7.02 % (3618795)Termination reason: Instruction limit
% 45.66/7.02 % (3618795)Termination phase: Finite model building SAT solving
% 45.66/7.02 % (3618795)Time elapsed: 0.162 s
% 45.66/7.02 % (3618795)Peak memory usage: 25 MB
% 45.66/7.02 % (3618795)Instructions burned: 716 (million)
% 45.66/7.02 % (3618801)Instruction limit reached!
% 45.66/7.02 % (3618801)------------------------------
% 45.66/7.02 % (3618801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.66/7.02 % (3618801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.66/7.02 % (3618801)CaDiCaL version: 2.1.3
% 45.66/7.02 % (3618801)Termination reason: Instruction limit
% 45.66/7.02 % (3618801)Termination phase: Saturation
% 45.66/7.02 % (3618801)Time elapsed: 0.094 s
% 45.66/7.02 % (3618801)Peak memory usage: 13 MB
% 45.66/7.02 % (3618801)Instructions burned: 182 (million)
% 45.66/7.02 % (3618805)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2813636154:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 45.66/7.02 % TRYING [1]
% 45.66/7.02 % TRYING [2]
% 45.66/7.02 % TRYING [3]
% 45.66/7.02 % TRYING [4]
% 45.66/7.02 % (3618806)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=467358753:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 45.66/7.02 % TRYING [5]
% 45.66/7.02 % TRYING [9]
% 45.66/7.02 % TRYING [6]
% 45.66/7.02 % TRYING [7]
% 45.66/7.02 % (3618805)Instruction limit reached!
% 45.66/7.02 % (3618805)------------------------------
% 45.66/7.02 % (3618805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.66/7.02 % (3618805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.66/7.02 % (3618805)CaDiCaL version: 2.1.3
% 45.66/7.02 % (3618805)Termination reason: Instruction limit
% 45.66/7.02 % (3618805)Termination phase: Finite model building constraint generation
% 45.66/7.02 % (3618805)Time elapsed: 0.176 s
% 45.66/7.02 % (3618805)Peak memory usage: 26 MB
% 45.66/7.02 % (3618805)Instructions burned: 867 (million)
% 45.66/7.02 % (3618809)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=658156559:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 45.66/7.02 % TRYING [14]
% 45.66/7.02 % (3618803)Instruction limit reached!
% 45.66/7.02 % (3618803)------------------------------
% 45.66/7.02 % (3618803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.66/7.02 % (3618803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.66/7.02 % (3618803)CaDiCaL version: 2.1.3
% 45.66/7.02 % (3618803)Termination reason: Instruction limit
% 45.66/7.02 % (3618803)Termination phase: Saturation
% 45.66/7.02 % (3618803)Time elapsed: 0.292 s
% 45.66/7.02 % (3618803)Peak memory usage: 15 MB
% 45.66/7.02 % (3618803)Instructions burned: 477 (million)
% 45.66/7.02 % (3618798)Instruction limit reached!
% 45.66/7.02 % (3618798)------------------------------
% 45.66/7.02 % (3618798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.66/7.02 % (3618798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.66/7.02 % (3618798)CaDiCaL version: 2.1.3
% 45.66/7.02 % (3618798)Termination reason: Instruction limit
% 45.66/7.02 % (3618798)Termination phase: Saturation
% 45.66/7.02 % (3618798)Time elapsed: 0.416 s
% 45.66/7.02 % (3618798)Peak memory usage: 18 MB
% 45.66/7.02 % (3618798)Instructions burned: 684 (million)
% 45.66/7.02 % (3618811)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1778677188:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 45.66/7.02 % (3618812)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=59601862:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 54.02/8.10 % (3618809)Instruction limit reached!
% 54.02/8.10 % (3618809)------------------------------
% 54.02/8.10 % (3618809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.02/8.10 % (3618809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.02/8.10 % (3618809)CaDiCaL version: 2.1.3
% 54.02/8.10 % (3618809)Termination reason: Instruction limit
% 54.02/8.10 % (3618809)Termination phase: Finite model building constraint generation
% 54.02/8.10 % (3618809)Time elapsed: 0.212 s
% 54.02/8.10 % (3618809)Peak memory usage: 62 MB
% 54.02/8.10 % (3618809)Instructions burned: 891 (million)
% 54.02/8.10 % (3618815)fmb+10_1_sil=64000:random_seed=2026418214:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 54.02/8.10 % TRYING [1]
% 54.02/8.10 % TRYING [2]
% 54.02/8.10 % TRYING [3]
% 54.02/8.10 % TRYING [4]
% 54.02/8.10 % TRYING [5]
% 54.02/8.10 % TRYING [6]
% 54.02/8.10 % TRYING [7]
% 54.02/8.10 % TRYING [8]
% 54.02/8.10 % TRYING [10]
% 54.02/8.10 % TRYING [9]
% 54.02/8.10 % (3618806)Instruction limit reached!
% 54.02/8.10 % (3618806)------------------------------
% 54.02/8.10 % (3618806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.02/8.10 % (3618806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.02/8.10 % (3618806)CaDiCaL version: 2.1.3
% 54.02/8.10 % (3618806)Termination reason: Instruction limit
% 54.02/8.10 % (3618806)Termination phase: Saturation
% 54.02/8.10 % (3618806)Time elapsed: 0.679 s
% 54.02/8.10 % (3618806)Peak memory usage: 27 MB
% 54.02/8.10 % (3618806)Instructions burned: 1181 (million)
% 54.02/8.10 % (3618817)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2819820639:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 54.02/8.10 % TRYING [20]
% 54.02/8.10 % (3618811)Instruction limit reached!
% 54.02/8.10 % (3618811)------------------------------
% 54.02/8.10 % (3618811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.02/8.10 % (3618811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.02/8.10 % (3618811)CaDiCaL version: 2.1.3
% 54.02/8.10 % (3618811)Termination reason: Instruction limit
% 54.02/8.10 % (3618811)Termination phase: Saturation
% 54.02/8.10 % (3618811)Time elapsed: 0.437 s
% 54.02/8.10 % (3618811)Peak memory usage: 19 MB
% 54.02/8.10 % (3618811)Instructions burned: 693 (million)
% 54.02/8.10 % (3618819)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2867514615:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 54.02/8.10 % TRYING [8]
% 54.02/8.10 % (3618812)Instruction limit reached!
% 54.02/8.10 % (3618812)------------------------------
% 54.02/8.10 % (3618812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.02/8.10 % (3618812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.02/8.10 % (3618812)CaDiCaL version: 2.1.3
% 54.02/8.10 % (3618812)Termination reason: Instruction limit
% 54.02/8.10 % (3618812)Termination phase: Saturation
% 54.02/8.10 % (3618812)Time elapsed: 0.461 s
% 54.02/8.10 % (3618812)Peak memory usage: 19 MB
% 54.02/8.10 % (3618812)Instructions burned: 879 (million)
% 54.02/8.10 % (3618823)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2055418997:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 54.02/8.10 % TRYING [10]
% 54.02/8.10 % TRYING [9]
% 54.02/8.10 % (3618819)Instruction limit reached!
% 54.02/8.10 % (3618819)------------------------------
% 54.02/8.10 % (3618819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.02/8.10 % (3618819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.02/8.10 % (3618819)CaDiCaL version: 2.1.3
% 54.02/8.10 % (3618819)Termination reason: Instruction limit
% 54.02/8.10 % (3618819)Termination phase: Finite model building SAT solving
% 54.02/8.10 % (3618819)Time elapsed: 0.435 s
% 54.02/8.10 % (3618819)Peak memory usage: 32 MB
% 54.02/8.10 % (3618819)Instructions burned: 921 (million)
% 54.02/8.10 % (3618825)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2776055480:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 54.02/8.10 % TRYING [11]
% 54.02/8.10 % (3618825)Instruction limit reached!
% 54.02/8.10 % (3618825)------------------------------
% 54.02/8.10 % (3618825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.02/8.10 % (3618825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.02/8.10 % (3618825)CaDiCaL version: 2.1.3
% 54.02/8.10 % (3618825)Termination reason: Instruction limit
% 54.02/8.10 % (3618825)Termination phase: Saturation
% 54.02/8.10 % (3618825)Time elapsed: 0.829 s
% 54.02/8.10 % (3618825)Peak memory usage: 29 MB
% 54.02/8.10 % (3618825)Instructions burned: 1472 (million)
% 54.02/8.10 % (3618827)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1638153581:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 54.02/8.10 % TRYING [77]
% 54.02/8.10 % TRYING [12]
% 54.02/8.10 % TRYING [11]
% 54.02/8.10 % (3618823)Instruction limit reached!
% 54.02/8.10 % (3618823)------------------------------
% 54.02/8.10 % (3618823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.02/8.10 % (3618823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.02/8.10 % (3618823)CaDiCaL version: 2.1.3
% 54.02/8.10 % (3618823)Termination reason: Instruction limit
% 54.02/8.10 % (3618823)Termination phase: Saturation
% 54.02/8.10 % (3618823)Time elapsed: 2.718 s
% 54.02/8.10 % (3618823)Peak memory usage: 34 MB
% 54.02/8.10 % (3618823)Instructions burned: 5133 (million)
% 54.02/8.10 % (3618829)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3716216060:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 54.02/8.10 % TRYING [16]
% 54.02/8.10 % (3618829)Instruction limit reached!
% 54.02/8.10 % (3618829)------------------------------
% 54.02/8.10 % (3618829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.02/8.10 % (3618829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.02/8.10 % (3618829)CaDiCaL version: 2.1.3
% 54.02/8.10 % (3618829)Termination reason: Instruction limit
% 54.02/8.10 % (3618829)Termination phase: Finite model building constraint generation
% 54.02/8.10 % (3618829)Time elapsed: 0.729 s
% 54.02/8.10 % (3618829)Peak memory usage: 141 MB
% 54.02/8.10 % (3618829)Instructions burned: 2177 (million)
% 54.02/8.10 % (3618831)ott-2_1_sil=16000:newcnf=on:random_seed=3491119613:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2954 on theBenchmark for (2954ds/869Mi)
% 54.02/8.10 % (3618827)Instruction limit reached!
% 54.02/8.10 % (3618827)------------------------------
% 54.02/8.10 % (3618827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.02/8.10 % (3618827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.02/8.10 % (3618827)CaDiCaL version: 2.1.3
% 54.02/8.10 % (3618827)Termination reason: Instruction limit
% 54.02/8.10 % (3618827)Termination phase: Finite model building constraint generation
% 54.02/8.10 % (3618827)Time elapsed: 2.316 s
% 54.02/8.10 % (3618827)Peak memory usage: 500 MB
% 54.02/8.10 % (3618827)Instructions burned: 6326 (million)
% 54.02/8.10 % (3618833)ott+10_1_sil=32000:tgt=ground:random_seed=904413650:i=5114:av=off_2953 on theBenchmark for (2953ds/5114Mi)
% 54.02/8.10 % (3618831)Instruction limit reached!
% 54.02/8.10 % (3618831)------------------------------
% 54.02/8.10 % (3618831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.02/8.10 % (3618831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.02/8.10 % (3618831)CaDiCaL version: 2.1.3
% 54.02/8.10 % (3618831)Termination reason: Instruction limit
% 54.02/8.10 % (3618831)Termination phase: Saturation
% 54.02/8.10 % (3618831)Time elapsed: 0.521 s
% 54.02/8.10 % (3618831)Peak memory usage: 17 MB
% 54.02/8.10 % (3618831)Instructions burned: 870 (million)
% 54.02/8.10 % (3618835)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=970653473:i=54282_2949 on theBenchmark for (2949ds/54282Mi)
% 54.02/8.10 % TRYING [1]
% 54.02/8.10 % TRYING [2]
% 54.02/8.10 % TRYING [3]
% 54.02/8.10 % TRYING [4]
% 54.02/8.10 % TRYING [5]
% 54.02/8.10 % TRYING [6]
% 54.02/8.10 % TRYING [7]
% 54.02/8.10 % TRYING [8]
% 54.02/8.10 % TRYING [9]
% 54.02/8.10 % TRYING [10]
% 54.02/8.10 % (3618817)Instruction limit reached!
% 54.02/8.10 % (3618817)------------------------------
% 54.02/8.10 % (3618817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.02/8.10 % (3618817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.02/8.10 % (3618817)CaDiCaL version: 2.1.3
% 54.02/8.10 % (3618817)Termination reason: Instruction limit
% 54.02/8.10 % (3618817)Termination phase: Finite model building SAT solving
% 54.02/8.10 % (3618817)Time elapsed: 5.121 s
% 54.02/8.10 % (3618817)Peak memory usage: 437 MB
% 54.02/8.10 % (3618817)Instructions burned: 9518 (million)
% 54.02/8.10 % (3618837)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=4001397560:i=3512:aac=none_2938 on theBenchmark for (2938ds/3512Mi)
% 54.02/8.10 % (3618815)Instruction limit reached!
% 54.02/8.10 % (3618815)------------------------------
% 54.02/8.10 % (3618815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.02/8.10 % (3618815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.02/8.10 % (3618815)CaDiCaL version: 2.1.3
% 54.02/8.10 % (3618815)Termination reason: Instruction limit
% 54.02/8.10 % (3618815)Termination phase: Finite model building SAT solving
% 54.02/8.10 % (3618815)Time elapsed: 5.935 s
% 54.02/8.10 % (3618815)Peak memory usage: 50 MB
% 54.02/8.10 % (3618815)Instructions burned: 22063 (million)
% 54.02/8.10 % (3618839)dis+21_1_sil=32000:sas=cadical:random_seed=1507865834:i=3773:amm=off_2933 on theBenchmark for (2933ds/3773Mi)
% 54.02/8.10 % (3618833)Instruction limit reached!
% 54.02/8.10 % (3618833)------------------------------
% 54.02/8.10 % (3618833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.02/8.10 % (3618833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.02/8.10 % (3618833)CaDiCaL version: 2.1.3
% 54.02/8.10 % (3618833)Termination reason: Instruction limit
% 54.02/8.10 % (3618833)Termination phase: Saturation
% 54.02/8.10 % (3618833)Time elapsed: 2.955 s
% 54.02/8.10 % (3618833)Peak memory usage: 66 MB
% 54.02/8.10 % (3618833)Instructions burned: 5115 (million)
% 54.02/8.10 % (3618839) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3618776-3618839"...
% 54.02/8.10 % (3618839)...printing done.
% 54.02/8.10 % (3618839)Refutation found. Thanks to Tanya!
% 54.02/8.10 % SZS status Theorem for theBenchmark
% 54.02/8.10 % SZS output start Proof for theBenchmark
% See solution above
% 54.02/8.11 % (3618839)------------------------------
% 54.02/8.11 % (3618839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.02/8.11 % (3618839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.02/8.11 % (3618839)CaDiCaL version: 2.1.3
% 54.02/8.11 % (3618839)Termination reason: Refutation
% 54.02/8.11 % (3618839)Time elapsed: 1.052 s
% 54.02/8.11 % (3618839)Peak memory usage: 47 MB
% 54.02/8.11 % (3618839)Instructions burned: 3568 (million)
% 54.02/8.11 % (3618776)Success in time 7.696 s
% 54.02/8.11 % Vampire exiting
%------------------------------------------------------------------------------