%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC002+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 01:01:59 PM UTC 2026
% Result : Theorem 6.42s 1.95s
% Output : Refutation 8.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 106 ( 11 unt; 8 def)
% Number of atoms : 497 ( 89 equ)
% Maximal formula atoms : 27 ( 4 avg)
% Number of connectives : 663 ( 272 ~; 262 |; 106 &)
% ( 7 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 7 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 8 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 258 ( 0 sgn 218 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ( ( ~ neq(X1,nil)
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = X1
& app(X5,X6) = X0
& ! [X7] :
( ssItem(X7)
=> ( ~ memberP(X1,X7)
| ~ geq(X7,X4)
| X4 = X7 ) ) ) ) )
| ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> ! [X10] :
( ssList(X10)
=> ( app(app(X9,cons(X8,nil)),X10) != X3
| app(X9,X10) != X2
| ? [X11] :
( ssItem(X11)
& X8 != X11
& memberP(X3,X11)
& geq(X11,X8) ) ) ) ) ) )
& ( ~ neq(X1,nil)
| neq(X3,nil) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ( ( ~ neq(X1,nil)
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = X1
& app(X5,X6) = X0
& ! [X7] :
( ssItem(X7)
=> ( ~ memberP(X1,X7)
| ~ geq(X7,X4)
| X4 = X7 ) ) ) ) )
| ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> ! [X10] :
( ssList(X10)
=> ( app(app(X9,cons(X8,nil)),X10) != X3
| app(X9,X10) != X2
| ? [X11] :
( ssItem(X11)
& X8 != X11
& memberP(X3,X11)
& geq(X11,X8) ) ) ) ) ) )
& ( ~ neq(X1,nil)
| neq(X3,nil) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( ( neq(X1,nil)
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != X1
| app(X5,X6) != X0
| ? [X7] :
( memberP(X1,X7)
& geq(X7,X4)
& X4 != X7
& ssItem(X7) ) ) ) )
& ? [X8] :
( ? [X9] :
( ? [X10] :
( app(app(X9,cons(X8,nil)),X10) = X3
& app(X9,X10) = X2
& ! [X11] :
( ~ ssItem(X11)
| X8 = X11
| ~ memberP(X3,X11)
| ~ geq(X11,X8) )
& ssList(X10) )
& ssList(X9) )
& ssItem(X8) ) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( ( neq(X1,nil)
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != X1
| app(X5,X6) != X0
| ? [X7] :
( memberP(X1,X7)
& geq(X7,X4)
& X4 != X7
& ssItem(X7) ) ) ) )
& ? [X8] :
( ? [X9] :
( ? [X10] :
( app(app(X9,cons(X8,nil)),X10) = X3
& app(X9,X10) = X2
& ! [X11] :
( ~ ssItem(X11)
| X8 = X11
| ~ memberP(X3,X11)
| ~ geq(X11,X8) )
& ssList(X10) )
& ssList(X9) )
& ssItem(X8) ) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f135,definition,
! [X1,X0,X3,X2] :
( ( neq(X1,nil)
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != X1
| app(X5,X6) != X0
| ? [X7] :
( memberP(X1,X7)
& geq(X7,X4)
& X4 != X7
& ssItem(X7) ) ) ) )
& ? [X8] :
( ? [X9] :
( ? [X10] :
( app(app(X9,cons(X8,nil)),X10) = X3
& app(X9,X10) = X2
& ! [X11] :
( ~ ssItem(X11)
| X8 = X11
| ~ memberP(X3,X11)
| ~ geq(X11,X8) )
& ssList(X10) )
& ssList(X9) )
& ssItem(X8) ) )
| ~ sP0(X1,X0,X3,X2) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f136,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( sP0(X1,X0,X3,X2)
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(definition_folding,[],[f99,f135]) ).
fof(f137,plain,
! [X1,X0,X3,X2] :
( ( neq(X1,nil)
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != X1
| app(X5,X6) != X0
| ? [X7] :
( memberP(X1,X7)
& geq(X7,X4)
& X4 != X7
& ssItem(X7) ) ) ) )
& ? [X8] :
( ? [X9] :
( ? [X10] :
( app(app(X9,cons(X8,nil)),X10) = X3
& app(X9,X10) = X2
& ! [X11] :
( ~ ssItem(X11)
| X8 = X11
| ~ memberP(X3,X11)
| ~ geq(X11,X8) )
& ssList(X10) )
& ssList(X9) )
& ssItem(X8) ) )
| ~ sP0(X1,X0,X3,X2) ),
inference(nnf_transformation,[],[f135]) ).
fof(f138,plain,
! [X0,X1,X2,X3] :
( ( neq(X0,nil)
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != X0
| app(X5,X6) != X1
| ? [X7] :
( memberP(X0,X7)
& geq(X7,X4)
& X4 != X7
& ssItem(X7) ) ) ) )
& ? [X8] :
( ? [X9] :
( ? [X10] :
( app(app(X9,cons(X8,nil)),X10) = X2
& app(X9,X10) = X3
& ! [X11] :
( ~ ssItem(X11)
| X8 = X11
| ~ memberP(X2,X11)
| ~ geq(X11,X8) )
& ssList(X10) )
& ssList(X9) )
& ssItem(X8) ) )
| ~ sP0(X0,X1,X2,X3) ),
inference(rectify,[],[f137]) ).
fof(f139,plain,
! [X0,X1,X2,X3] :
( ( neq(X0,nil)
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != X0
| app(X5,X6) != X1
| ( memberP(X0,sK1(X0,X4))
& geq(sK1(X0,X4),X4)
& sK1(X0,X4) != X4
& ssItem(sK1(X0,X4)) ) ) ) )
& app(app(sK3(X2,X3),cons(sK2(X2,X3),nil)),sK4(X2,X3)) = X2
& app(sK3(X2,X3),sK4(X2,X3)) = X3
& ! [X11] :
( ~ ssItem(X11)
| sK2(X2,X3) = X11
| ~ memberP(X2,X11)
| ~ geq(X11,sK2(X2,X3)) )
& ssList(sK4(X2,X3))
& ssList(sK3(X2,X3))
& ssItem(sK2(X2,X3)) )
| ~ sP0(X0,X1,X2,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4]),skolemize(X7,sK1(X0,X4)),skolemize(X8,sK2(X2,X3)),skolemize(X9,sK3(X2,X3)),skolemize(X10,sK4(X2,X3))],[f138]) ).
fof(f140,plain,
( sK6 = sK8
& sK5 = sK7
& ( sP0(sK6,sK5,sK8,sK7)
| ( neq(sK6,nil)
& ~ neq(sK8,nil) ) )
& ssList(sK8)
& ssList(sK7)
& ssList(sK6)
& ssList(sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8]),skolemize(X0,sK5),skolemize(X1,sK6),skolemize(X2,sK7),skolemize(X3,sK8)],[f136]) ).
fof(f155,plain,
! [X2,X3,X0,X1] :
( ~ sP0(X0,X1,X2,X3)
| ssItem(sK2(X2,X3)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f156,plain,
! [X2,X3,X0,X1] :
( ~ sP0(X0,X1,X2,X3)
| ssList(sK3(X2,X3)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f157,plain,
! [X2,X3,X0,X1] :
( ~ sP0(X0,X1,X2,X3)
| ssList(sK4(X2,X3)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f158,plain,
! [X2,X3,X0,X11,X1] :
( ~ ssItem(X11)
| sK2(X2,X3) = X11
| ~ memberP(X2,X11)
| ~ geq(X11,sK2(X2,X3))
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f139]) ).
fof(f159,plain,
! [X2,X3,X0,X1] :
( ~ sP0(X0,X1,X2,X3)
| app(sK3(X2,X3),sK4(X2,X3)) = X3 ),
inference(cnf_transformation,[],[f139]) ).
fof(f160,plain,
! [X2,X3,X0,X1] :
( ~ sP0(X0,X1,X2,X3)
| app(app(sK3(X2,X3),cons(sK2(X2,X3),nil)),sK4(X2,X3)) = X2 ),
inference(cnf_transformation,[],[f139]) ).
fof(f161,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != X0
| app(X5,X6) != X1
| ssItem(sK1(X0,X4))
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f139]) ).
fof(f162,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != X0
| app(X5,X6) != X1
| sK1(X0,X4) != X4
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f139]) ).
fof(f163,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != X0
| app(X5,X6) != X1
| geq(sK1(X0,X4),X4)
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f139]) ).
fof(f164,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != X0
| app(X5,X6) != X1
| memberP(X0,sK1(X0,X4))
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f139]) ).
fof(f165,plain,
! [X2,X3,X0,X1] :
( ~ sP0(X0,X1,X2,X3)
| neq(X0,nil) ),
inference(cnf_transformation,[],[f139]) ).
fof(f170,plain,
( sP0(sK6,sK5,sK8,sK7)
| ~ neq(sK8,nil) ),
inference(cnf_transformation,[],[f140]) ).
fof(f171,plain,
( sP0(sK6,sK5,sK8,sK7)
| neq(sK6,nil) ),
inference(cnf_transformation,[],[f140]) ).
fof(f172,plain,
sK5 = sK7,
inference(cnf_transformation,[],[f140]) ).
fof(f173,plain,
sK6 = sK8,
inference(cnf_transformation,[],[f140]) ).
fof(f220,plain,
( sP0(sK8,sK7,sK8,sK7)
| neq(sK8,nil) ),
inference(definition_unfolding,[],[f171,f173,f172,f173]) ).
fof(f221,plain,
( sP0(sK8,sK7,sK8,sK7)
| ~ neq(sK8,nil) ),
inference(definition_unfolding,[],[f170,f173,f172]) ).
fof(f224,plain,
! [X2,X3,X1,X6,X4,X5] :
( ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(X5,X6) != X1
| memberP(app(app(X5,cons(X4,nil)),X6),sK1(app(app(X5,cons(X4,nil)),X6),X4))
| ~ sP0(app(app(X5,cons(X4,nil)),X6),X1,X2,X3) ),
inference(equality_resolution,[],[f164]) ).
fof(f225,plain,
! [X2,X3,X6,X4,X5] :
( ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| memberP(app(app(X5,cons(X4,nil)),X6),sK1(app(app(X5,cons(X4,nil)),X6),X4))
| ~ sP0(app(app(X5,cons(X4,nil)),X6),app(X5,X6),X2,X3) ),
inference(equality_resolution,[],[f224]) ).
fof(f226,plain,
! [X2,X3,X1,X6,X4,X5] :
( ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(X5,X6) != X1
| geq(sK1(app(app(X5,cons(X4,nil)),X6),X4),X4)
| ~ sP0(app(app(X5,cons(X4,nil)),X6),X1,X2,X3) ),
inference(equality_resolution,[],[f163]) ).
fof(f227,plain,
! [X2,X3,X6,X4,X5] :
( ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| geq(sK1(app(app(X5,cons(X4,nil)),X6),X4),X4)
| ~ sP0(app(app(X5,cons(X4,nil)),X6),app(X5,X6),X2,X3) ),
inference(equality_resolution,[],[f226]) ).
fof(f228,plain,
! [X2,X3,X1,X6,X4,X5] :
( ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(X5,X6) != X1
| sK1(app(app(X5,cons(X4,nil)),X6),X4) != X4
| ~ sP0(app(app(X5,cons(X4,nil)),X6),X1,X2,X3) ),
inference(equality_resolution,[],[f162]) ).
fof(f229,plain,
! [X2,X3,X6,X4,X5] :
( ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| sK1(app(app(X5,cons(X4,nil)),X6),X4) != X4
| ~ sP0(app(app(X5,cons(X4,nil)),X6),app(X5,X6),X2,X3) ),
inference(equality_resolution,[],[f228]) ).
fof(f230,plain,
! [X2,X3,X1,X6,X4,X5] :
( ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(X5,X6) != X1
| ssItem(sK1(app(app(X5,cons(X4,nil)),X6),X4))
| ~ sP0(app(app(X5,cons(X4,nil)),X6),X1,X2,X3) ),
inference(equality_resolution,[],[f161]) ).
fof(f231,plain,
! [X2,X3,X6,X4,X5] :
( ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| ssItem(sK1(app(app(X5,cons(X4,nil)),X6),X4))
| ~ sP0(app(app(X5,cons(X4,nil)),X6),app(X5,X6),X2,X3) ),
inference(equality_resolution,[],[f230]) ).
fof(f243,definition,
( spl15_1
<=> neq(sK8,nil) ),
introduced(definition,[new_symbols(definition,[spl15_1])],[avatar_definition]) ).
fof(f246,definition,
( spl15_2
<=> sP0(sK8,sK7,sK8,sK7) ),
introduced(definition,[new_symbols(definition,[spl15_2])],[avatar_definition]) ).
fof(f247,plain,
( sP0(sK8,sK7,sK8,sK7)
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f248,plain,
( ~ spl15_1
| spl15_2 ),
inference(avatar_split_clause,[],[f221,f246,f243]) ).
fof(f250,plain,
( spl15_1
| spl15_2 ),
inference(avatar_split_clause,[],[f220,f246,f243]) ).
fof(f251,plain,
( sK8 = app(app(sK3(sK8,sK7),cons(sK2(sK8,sK7),nil)),sK4(sK8,sK7))
| ~ spl15_2 ),
inference(resolution,[],[f160,f247]) ).
fof(f252,plain,
( ssItem(sK2(sK8,sK7))
| ~ spl15_2 ),
inference(resolution,[],[f155,f247]) ).
fof(f253,plain,
( ssList(sK3(sK8,sK7))
| ~ spl15_2 ),
inference(resolution,[],[f156,f247]) ).
fof(f254,plain,
( neq(sK8,nil)
| ~ spl15_2 ),
inference(resolution,[],[f165,f247]) ).
fof(f255,plain,
( spl15_1
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f254,f246,f243]) ).
fof(f256,plain,
( sK7 = app(sK3(sK8,sK7),sK4(sK8,sK7))
| ~ spl15_2 ),
inference(resolution,[],[f159,f247]) ).
fof(f257,plain,
( ssList(sK4(sK8,sK7))
| ~ spl15_2 ),
inference(resolution,[],[f157,f247]) ).
fof(f269,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ssItem(sK1(app(app(X0,cons(sK2(sK8,sK7),nil)),X1),sK2(sK8,sK7)))
| ~ sP0(app(app(X0,cons(sK2(sK8,sK7),nil)),X1),app(X0,X1),X2,X3) )
| ~ spl15_2 ),
inference(resolution,[],[f231,f252]) ).
fof(f270,plain,
( ! [X2,X3,X0,X1] :
( sK2(sK8,sK7) != sK1(app(app(X0,cons(sK2(sK8,sK7),nil)),X1),sK2(sK8,sK7))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ sP0(app(app(X0,cons(sK2(sK8,sK7),nil)),X1),app(X0,X1),X2,X3) )
| ~ spl15_2 ),
inference(resolution,[],[f229,f252]) ).
fof(f271,plain,
( ! [X0,X1] :
( sK2(sK8,sK7) != sK1(sK8,sK2(sK8,sK7))
| ~ ssList(sK4(sK8,sK7))
| ~ ssList(sK3(sK8,sK7))
| ~ sP0(sK8,app(sK3(sK8,sK7),sK4(sK8,sK7)),X0,X1) )
| ~ spl15_2 ),
inference(superposition,[],[f270,f251]) ).
fof(f272,plain,
( ! [X0,X1] :
( sK2(sK8,sK7) != sK1(sK8,sK2(sK8,sK7))
| ~ ssList(sK3(sK8,sK7))
| ~ sP0(sK8,app(sK3(sK8,sK7),sK4(sK8,sK7)),X0,X1) )
| ~ spl15_2 ),
inference(forward_subsumption_resolution,[],[f271,f257]) ).
fof(f273,plain,
( ! [X0,X1] :
( sK2(sK8,sK7) != sK1(sK8,sK2(sK8,sK7))
| ~ sP0(sK8,app(sK3(sK8,sK7),sK4(sK8,sK7)),X0,X1) )
| ~ spl15_2 ),
inference(forward_subsumption_resolution,[],[f272,f253]) ).
fof(f274,plain,
( ! [X0,X1] :
( ~ sP0(sK8,sK7,X0,X1)
| sK2(sK8,sK7) != sK1(sK8,sK2(sK8,sK7)) )
| ~ spl15_2 ),
inference(forward_demodulation,[],[f273,f256]) ).
fof(f276,definition,
( spl15_3
<=> sK2(sK8,sK7) = sK1(sK8,sK2(sK8,sK7)) ),
introduced(definition,[new_symbols(definition,[spl15_3])],[avatar_definition]) ).
fof(f277,plain,
( sK2(sK8,sK7) != sK1(sK8,sK2(sK8,sK7))
| spl15_3 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f279,definition,
( spl15_4
<=> ! [X0,X1] : ~ sP0(sK8,sK7,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl15_4])],[avatar_definition]) ).
fof(f280,plain,
( ! [X0,X1] : ~ sP0(sK8,sK7,X0,X1)
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f281,plain,
( ~ spl15_3
| spl15_4
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f274,f246,f279,f276]) ).
fof(f282,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| geq(sK1(app(app(X0,cons(sK2(sK8,sK7),nil)),X1),sK2(sK8,sK7)),sK2(sK8,sK7))
| ~ sP0(app(app(X0,cons(sK2(sK8,sK7),nil)),X1),app(X0,X1),X2,X3) )
| ~ spl15_2 ),
inference(resolution,[],[f227,f252]) ).
fof(f289,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| memberP(app(app(X0,cons(sK2(sK8,sK7),nil)),X1),sK1(app(app(X0,cons(sK2(sK8,sK7),nil)),X1),sK2(sK8,sK7)))
| ~ sP0(app(app(X0,cons(sK2(sK8,sK7),nil)),X1),app(X0,X1),X2,X3) )
| ~ spl15_2 ),
inference(resolution,[],[f225,f252]) ).
fof(f327,plain,
( ! [X2,X0,X1] :
( ~ sP0(app(app(X0,cons(sK2(sK8,sK7),nil)),sK4(sK8,sK7)),app(X0,sK4(sK8,sK7)),X1,X2)
| geq(sK1(app(app(X0,cons(sK2(sK8,sK7),nil)),sK4(sK8,sK7)),sK2(sK8,sK7)),sK2(sK8,sK7))
| ~ ssList(X0) )
| ~ spl15_2 ),
inference(resolution,[],[f282,f257]) ).
fof(f341,plain,
( ! [X0,X1] :
( ~ sP0(app(app(sK3(sK8,sK7),cons(sK2(sK8,sK7),nil)),sK4(sK8,sK7)),sK7,X0,X1)
| geq(sK1(app(app(sK3(sK8,sK7),cons(sK2(sK8,sK7),nil)),sK4(sK8,sK7)),sK2(sK8,sK7)),sK2(sK8,sK7))
| ~ ssList(sK3(sK8,sK7)) )
| ~ spl15_2 ),
inference(superposition,[],[f327,f256]) ).
fof(f342,plain,
( ! [X0,X1] :
( ~ sP0(app(app(sK3(sK8,sK7),cons(sK2(sK8,sK7),nil)),sK4(sK8,sK7)),sK7,X0,X1)
| geq(sK1(app(app(sK3(sK8,sK7),cons(sK2(sK8,sK7),nil)),sK4(sK8,sK7)),sK2(sK8,sK7)),sK2(sK8,sK7)) )
| ~ spl15_2 ),
inference(forward_subsumption_resolution,[],[f341,f253]) ).
fof(f344,plain,
( ! [X0,X1] :
( ~ sP0(sK8,sK7,X0,X1)
| geq(sK1(app(app(sK3(sK8,sK7),cons(sK2(sK8,sK7),nil)),sK4(sK8,sK7)),sK2(sK8,sK7)),sK2(sK8,sK7)) )
| ~ spl15_2 ),
inference(forward_demodulation,[],[f342,f251]) ).
fof(f346,plain,
( ! [X0,X1] :
( geq(sK1(sK8,sK2(sK8,sK7)),sK2(sK8,sK7))
| ~ sP0(sK8,sK7,X0,X1) )
| ~ spl15_2 ),
inference(forward_demodulation,[],[f344,f251]) ).
fof(f348,definition,
( spl15_13
<=> geq(sK1(sK8,sK2(sK8,sK7)),sK2(sK8,sK7)) ),
introduced(definition,[new_symbols(definition,[spl15_13])],[avatar_definition]) ).
fof(f349,plain,
( geq(sK1(sK8,sK2(sK8,sK7)),sK2(sK8,sK7))
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f351,plain,
( spl15_4
| spl15_13
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f346,f246,f348,f279]) ).
fof(f375,plain,
( ! [X2,X0,X1] :
( ~ sP0(app(app(X0,cons(sK2(sK8,sK7),nil)),sK4(sK8,sK7)),app(X0,sK4(sK8,sK7)),X1,X2)
| memberP(app(app(X0,cons(sK2(sK8,sK7),nil)),sK4(sK8,sK7)),sK1(app(app(X0,cons(sK2(sK8,sK7),nil)),sK4(sK8,sK7)),sK2(sK8,sK7)))
| ~ ssList(X0) )
| ~ spl15_2 ),
inference(resolution,[],[f289,f257]) ).
fof(f386,plain,
( ! [X0,X1] :
( ~ sP0(app(app(sK3(sK8,sK7),cons(sK2(sK8,sK7),nil)),sK4(sK8,sK7)),sK7,X0,X1)
| memberP(app(app(sK3(sK8,sK7),cons(sK2(sK8,sK7),nil)),sK4(sK8,sK7)),sK1(app(app(sK3(sK8,sK7),cons(sK2(sK8,sK7),nil)),sK4(sK8,sK7)),sK2(sK8,sK7)))
| ~ ssList(sK3(sK8,sK7)) )
| ~ spl15_2 ),
inference(superposition,[],[f375,f256]) ).
fof(f387,plain,
( ! [X0,X1] :
( ~ sP0(app(app(sK3(sK8,sK7),cons(sK2(sK8,sK7),nil)),sK4(sK8,sK7)),sK7,X0,X1)
| memberP(app(app(sK3(sK8,sK7),cons(sK2(sK8,sK7),nil)),sK4(sK8,sK7)),sK1(app(app(sK3(sK8,sK7),cons(sK2(sK8,sK7),nil)),sK4(sK8,sK7)),sK2(sK8,sK7))) )
| ~ spl15_2 ),
inference(forward_subsumption_resolution,[],[f386,f253]) ).
fof(f389,plain,
( ! [X0,X1] :
( ~ sP0(sK8,sK7,X0,X1)
| memberP(app(app(sK3(sK8,sK7),cons(sK2(sK8,sK7),nil)),sK4(sK8,sK7)),sK1(app(app(sK3(sK8,sK7),cons(sK2(sK8,sK7),nil)),sK4(sK8,sK7)),sK2(sK8,sK7))) )
| ~ spl15_2 ),
inference(forward_demodulation,[],[f387,f251]) ).
fof(f391,plain,
( ! [X0,X1] :
( memberP(sK8,sK1(sK8,sK2(sK8,sK7)))
| ~ sP0(sK8,sK7,X0,X1) )
| ~ spl15_2 ),
inference(forward_demodulation,[],[f389,f251]) ).
fof(f393,definition,
( spl15_15
<=> memberP(sK8,sK1(sK8,sK2(sK8,sK7))) ),
introduced(definition,[new_symbols(definition,[spl15_15])],[avatar_definition]) ).
fof(f394,plain,
( memberP(sK8,sK1(sK8,sK2(sK8,sK7)))
| ~ spl15_15 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f396,plain,
( spl15_4
| spl15_15
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f391,f246,f393,f279]) ).
fof(f397,plain,
( $false
| ~ spl15_2
| ~ spl15_4 ),
inference(unit_resulting_resolution,[],[f280,f247]) ).
fof(f400,plain,
( ~ spl15_2
| ~ spl15_4 ),
inference(avatar_contradiction_clause,[],[f397]) ).
fof(f406,plain,
( ! [X2,X0,X1] :
( ~ sP0(app(app(X0,cons(sK2(sK8,sK7),nil)),sK4(sK8,sK7)),app(X0,sK4(sK8,sK7)),X1,X2)
| ssItem(sK1(app(app(X0,cons(sK2(sK8,sK7),nil)),sK4(sK8,sK7)),sK2(sK8,sK7)))
| ~ ssList(X0) )
| ~ spl15_2 ),
inference(resolution,[],[f269,f257]) ).
fof(f411,plain,
( ! [X0,X1] :
( ~ sP0(app(app(sK3(sK8,sK7),cons(sK2(sK8,sK7),nil)),sK4(sK8,sK7)),sK7,X0,X1)
| ssItem(sK1(app(app(sK3(sK8,sK7),cons(sK2(sK8,sK7),nil)),sK4(sK8,sK7)),sK2(sK8,sK7)))
| ~ ssList(sK3(sK8,sK7)) )
| ~ spl15_2 ),
inference(superposition,[],[f406,f256]) ).
fof(f412,plain,
( ! [X0,X1] :
( ~ sP0(app(app(sK3(sK8,sK7),cons(sK2(sK8,sK7),nil)),sK4(sK8,sK7)),sK7,X0,X1)
| ssItem(sK1(app(app(sK3(sK8,sK7),cons(sK2(sK8,sK7),nil)),sK4(sK8,sK7)),sK2(sK8,sK7))) )
| ~ spl15_2 ),
inference(forward_subsumption_resolution,[],[f411,f253]) ).
fof(f414,plain,
( ! [X0,X1] :
( ~ sP0(sK8,sK7,X0,X1)
| ssItem(sK1(app(app(sK3(sK8,sK7),cons(sK2(sK8,sK7),nil)),sK4(sK8,sK7)),sK2(sK8,sK7))) )
| ~ spl15_2 ),
inference(forward_demodulation,[],[f412,f251]) ).
fof(f416,plain,
( ! [X0,X1] :
( ssItem(sK1(sK8,sK2(sK8,sK7)))
| ~ sP0(sK8,sK7,X0,X1) )
| ~ spl15_2 ),
inference(forward_demodulation,[],[f414,f251]) ).
fof(f418,definition,
( spl15_16
<=> ssItem(sK1(sK8,sK2(sK8,sK7))) ),
introduced(definition,[new_symbols(definition,[spl15_16])],[avatar_definition]) ).
fof(f419,plain,
( ssItem(sK1(sK8,sK2(sK8,sK7)))
| ~ spl15_16 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f421,plain,
( spl15_4
| spl15_16
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f416,f246,f418,f279]) ).
fof(f422,plain,
( $false
| ~ spl15_2
| spl15_3
| ~ spl15_13
| ~ spl15_15
| ~ spl15_16 ),
inference(unit_resulting_resolution,[],[f158,f247,f394,f349,f277,f419]) ).
fof(f435,plain,
( ~ spl15_2
| spl15_3
| ~ spl15_13
| ~ spl15_15
| ~ spl15_16 ),
inference(avatar_contradiction_clause,[],[f422]) ).
cnf(s1,plain,
( ~ spl15_1
| spl15_2 ),
inference(sat_conversion,[],[f248]) ).
cnf(s2,plain,
( spl15_1
| spl15_2 ),
inference(sat_conversion,[],[f250]) ).
cnf(s3,plain,
( spl15_1
| ~ spl15_2 ),
inference(sat_conversion,[],[f255]) ).
cnf(s4,plain,
( ~ spl15_2
| ~ spl15_3
| spl15_4 ),
inference(sat_conversion,[],[f281]) ).
cnf(s9,plain,
( ~ spl15_2
| spl15_4
| spl15_13 ),
inference(sat_conversion,[],[f351]) ).
cnf(s12,plain,
( ~ spl15_2
| spl15_4
| spl15_15 ),
inference(sat_conversion,[],[f396]) ).
cnf(s14,plain,
( ~ spl15_2
| ~ spl15_4 ),
inference(sat_conversion,[],[f400]) ).
cnf(s16,plain,
( ~ spl15_2
| spl15_4
| spl15_16 ),
inference(sat_conversion,[],[f421]) ).
cnf(s17,plain,
( ~ spl15_2
| spl15_3
| ~ spl15_13
| ~ spl15_15
| ~ spl15_16 ),
inference(sat_conversion,[],[f435]) ).
cnf(s18,plain,
spl15_1,
inference(rat,[],[s2,s3]) ).
cnf(s19,plain,
spl15_2,
inference(rat,[],[s1,s18]) ).
cnf(s20,plain,
~ spl15_4,
inference(rat,[],[s14,s19]) ).
cnf(s21,plain,
spl15_16,
inference(rat,[],[s16,s19,s20]) ).
cnf(s22,plain,
spl15_15,
inference(rat,[],[s12,s19,s20]) ).
cnf(s23,plain,
spl15_13,
inference(rat,[],[s9,s19,s20]) ).
cnf(s24,plain,
~ spl15_3,
inference(rat,[],[s4,s19,s20]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s17,s21,s22,s19,s23,s24]) ).
fof(f436,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC002+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.38 % Computer : n003.cluster.edu
% 0.08/0.38 % Model : x86_64 x86_64
% 0.08/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.38 % Memory : 8046.5625MB
% 0.08/0.38 % OS : Linux 6.8.0-71-generic
% 0.08/0.38 % CPULimit : 300
% 0.08/0.38 % WCLimit : 300
% 0.08/0.38 % DateTime : Mon Sep 28 07:25:58 UTC 2026
% 0.08/0.38 % CPUTime :
% 0.08/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.42 Running first-order theorem proving
% 0.08/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.42/1.95 % (1405742)Detected formulas, will run a generic FOF schedule.
% 6.42/1.95 % (1405751)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3747864191:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.42/1.95 % (1405750)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2609276627:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.42/1.95 % (1405749)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=3109460635:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.42/1.95 % (1405748)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=1564823783:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.42/1.95 % (1405747)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=641839976:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.42/1.95 % (1405753)dis-21_1_sil=8000:lcm=predicate:random_seed=653583691: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)
% 6.42/1.95 % (1405752)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3967933212:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.42/1.95 % (1405751)Instruction limit reached!
% 6.42/1.95 % (1405751)------------------------------
% 6.42/1.95 % (1405751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.95 % (1405751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.95 % (1405751)CaDiCaL version: 2.1.3
% 6.42/1.95 % (1405751)Termination reason: Instruction limit
% 6.42/1.95 % (1405751)Termination phase: Saturation
% 6.42/1.95 % (1405751)Time elapsed: 0.038 s
% 6.42/1.95 % (1405751)Peak memory usage: 88 MB
% 6.42/1.95 % (1405751)Instructions burned: 120 (million)
% 6.42/1.95 % (1405750)Instruction limit reached!
% 6.42/1.95 % (1405750)------------------------------
% 6.42/1.95 % (1405750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.95 % (1405750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.95 % (1405750)CaDiCaL version: 2.1.3
% 6.42/1.95 % (1405750)Termination reason: Instruction limit
% 6.42/1.95 % (1405750)Termination phase: Saturation
% 6.42/1.95 % (1405750)Time elapsed: 0.070 s
% 6.42/1.95 % (1405750)Peak memory usage: 89 MB
% 6.42/1.95 % (1405750)Instructions burned: 110 (million)
% 6.42/1.95 % (1405753)Instruction limit reached!
% 6.42/1.95 % (1405753)------------------------------
% 6.42/1.95 % (1405753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.95 % (1405753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.95 % (1405753)CaDiCaL version: 2.1.3
% 6.42/1.95 % (1405753)Termination reason: Instruction limit
% 6.42/1.95 % (1405753)Termination phase: Saturation
% 6.42/1.95 % (1405753)Time elapsed: 0.076 s
% 6.42/1.95 % (1405753)Peak memory usage: 90 MB
% 6.42/1.95 % (1405753)Instructions burned: 130 (million)
% 6.42/1.95 % (1405752)Instruction limit reached!
% 6.42/1.95 % (1405752)------------------------------
% 6.42/1.95 % (1405752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.95 % (1405752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.95 % (1405752)CaDiCaL version: 2.1.3
% 6.42/1.95 % (1405752)Termination reason: Instruction limit
% 6.42/1.95 % (1405752)Termination phase: Saturation
% 6.42/1.95 % (1405752)Time elapsed: 0.088 s
% 6.42/1.95 % (1405752)Peak memory usage: 90 MB
% 6.42/1.95 % (1405752)Instructions burned: 140 (million)
% 6.42/1.95 % (1405761)lrs+10_1_sil=8000:sp=occurrence:random_seed=1659418551:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.42/1.95 % (1405762)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3785955148:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.42/1.95 % (1405763)lrs+1011_1_sil=32000:sp=occurrence:random_seed=413537256:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.42/1.95 % (1405761)Instruction limit reached!
% 6.42/1.95 % (1405761)------------------------------
% 6.42/1.95 % (1405761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.95 % (1405761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.95 % (1405761)CaDiCaL version: 2.1.3
% 6.42/1.95 % (1405761)Termination reason: Instruction limit
% 6.42/1.95 % (1405761)Termination phase: Saturation
% 6.42/1.95 % (1405761)Time elapsed: 0.094 s
% 6.42/1.95 % (1405761)Peak memory usage: 93 MB
% 6.42/1.95 % (1405761)Instructions burned: 287 (million)
% 6.42/1.95 % (1405764)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=3618685750:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.42/1.95 % (1405762)Instruction limit reached!
% 6.42/1.95 % (1405762)------------------------------
% 6.42/1.95 % (1405762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.95 % (1405762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.95 % (1405762)CaDiCaL version: 2.1.3
% 6.42/1.95 % (1405762)Termination reason: Instruction limit
% 6.42/1.95 % (1405762)Termination phase: Saturation
% 6.42/1.95 % (1405762)Time elapsed: 0.076 s
% 6.42/1.95 % (1405762)Peak memory usage: 91 MB
% 6.42/1.95 % (1405762)Instructions burned: 159 (million)
% 6.42/1.95 % (1405768)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=169029487:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.42/1.95 % (1405768)Refutation not found, incomplete strategy
% 6.42/1.95 % (1405768)------------------------------
% 6.42/1.95 % (1405768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.95 % (1405768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.95 % (1405768)CaDiCaL version: 2.1.3
% 6.42/1.95 % (1405768)Termination reason: Refutation not found, incomplete strategy
% 6.42/1.95 % (1405768)Time elapsed: 0.003 s
% 6.42/1.95 % (1405768)Peak memory usage: 88 MB
% 6.42/1.95 % (1405768)Instructions burned: 7 (million)
% 6.42/1.95 % (1405764)Instruction limit reached!
% 6.42/1.95 % (1405764)------------------------------
% 6.42/1.95 % (1405764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.95 % (1405764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.95 % (1405764)CaDiCaL version: 2.1.3
% 6.42/1.95 % (1405764)Termination reason: Instruction limit
% 6.42/1.95 % (1405764)Termination phase: Saturation
% 6.42/1.95 % (1405764)Time elapsed: 0.117 s
% 6.42/1.95 % (1405764)Peak memory usage: 94 MB
% 6.42/1.95 % (1405764)Instructions burned: 248 (million)
% 6.42/1.95 % (1405763)Instruction limit reached!
% 6.42/1.95 % (1405763)------------------------------
% 6.42/1.95 % (1405763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.95 % (1405763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.95 % (1405763)CaDiCaL version: 2.1.3
% 6.42/1.95 % (1405763)Termination reason: Instruction limit
% 6.42/1.95 % (1405763)Termination phase: Saturation
% 6.42/1.95 % (1405763)Time elapsed: 0.202 s
% 6.42/1.95 % (1405763)Peak memory usage: 92 MB
% 6.42/1.95 % (1405763)Instructions burned: 326 (million)
% 6.42/1.95 % (1405770)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=402499044:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.42/1.95 % (1405768)------------------------------
% 6.42/1.95 % (1405768)------------------------------
% 6.42/1.95 % (1405772)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1185830269:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 6.42/1.95 % (1405773)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=908214675:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.42/1.95 % (1405775)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4057661267:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.42/1.95 % (1405772)Instruction limit reached!
% 6.42/1.95 % (1405772)------------------------------
% 6.42/1.95 % (1405772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.95 % (1405772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.95 % (1405772)CaDiCaL version: 2.1.3
% 6.42/1.95 % (1405772)Termination reason: Instruction limit
% 6.42/1.95 % (1405772)Termination phase: Saturation
% 6.42/1.95 % (1405772)Time elapsed: 0.079 s
% 6.42/1.95 % (1405772)Peak memory usage: 90 MB
% 6.42/1.95 % (1405772)Instructions burned: 114 (million)
% 6.42/1.95 % (1405775)Instruction limit reached!
% 6.42/1.95 % (1405775)------------------------------
% 6.42/1.95 % (1405775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.95 % (1405775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.95 % (1405775)CaDiCaL version: 2.1.3
% 6.42/1.95 % (1405775)Termination reason: Instruction limit
% 6.42/1.95 % (1405775)Termination phase: Saturation
% 6.42/1.95 % (1405775)Time elapsed: 0.036 s
% 6.42/1.95 % (1405775)Peak memory usage: 89 MB
% 6.42/1.95 % (1405775)Instructions burned: 116 (million)
% 6.42/1.95 % (1405773)Instruction limit reached!
% 6.42/1.95 % (1405773)------------------------------
% 6.42/1.95 % (1405773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.95 % (1405773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.95 % (1405773)CaDiCaL version: 2.1.3
% 6.42/1.95 % (1405773)Termination reason: Instruction limit
% 6.42/1.95 % (1405773)Termination phase: Saturation
% 6.42/1.95 % (1405773)Time elapsed: 0.072 s
% 6.42/1.95 % (1405773)Peak memory usage: 89 MB
% 6.42/1.95 % (1405773)Instructions burned: 127 (million)
% 6.42/1.95 % (1405780)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=177667491:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.42/1.95 % (1405748)First to succeed.
% 6.42/1.95 % (1405780)Refutation not found, incomplete strategy
% 6.42/1.95 % (1405780)------------------------------
% 6.42/1.95 % (1405780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.95 % (1405780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.95 % (1405780)CaDiCaL version: 2.1.3
% 6.42/1.95 % (1405780)Termination reason: Refutation not found, incomplete strategy
% 6.42/1.95 % (1405780)Time elapsed: 0.002 s
% 6.42/1.95 % (1405780)Peak memory usage: 88 MB
% 6.42/1.95 % (1405780)Instructions burned: 4 (million)
% 6.42/1.95 % (1405748)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1405742"
% 6.42/1.95 % (1405779)lrs+10_1_sil=8000:sp=occurrence:random_seed=458642642:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.42/1.95 % (1405747)Also succeeded, but the first one will report.
% 6.42/1.95 % (1405749)Also succeeded, but the first one will report.
% 6.42/1.95 % (1405781)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4169186331:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.42/1.95 % (1405780)------------------------------
% 6.42/1.95 % (1405780)------------------------------
% 6.42/1.95 % (1405785)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1324695584:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 6.42/1.95 % (1405785)Also succeeded, but the first one will report.
% 6.42/1.95 % (1405748)Refutation found. Thanks to Tanya!
% 6.42/1.95 % SZS status Theorem for theBenchmark
% 6.42/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 8.18/2.14 % (1405748)------------------------------
% 8.18/2.14 % (1405748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.14 % (1405748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.14 % (1405748)CaDiCaL version: 2.1.3
% 8.18/2.14 % (1405748)Termination reason: Refutation
% 8.18/2.14 % (1405748)Time elapsed: 0.674 s
% 8.18/2.14 % (1405748)Peak memory usage: 129 MB
% 8.18/2.14 % (1405748)Instructions burned: 975 (million)
% 8.18/2.14 % (1405748)------------------------------
% 8.18/2.14 % (1405748)------------------------------
% 8.18/2.14 % (1405742)Success in time 1.086 s
% 8.18/2.14 % Vampire exiting
%------------------------------------------------------------------------------