%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC188+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 01:02:51 PM UTC 2026
% Result : Theorem 4.03s 1.49s
% Output : Refutation 5.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 24
% Syntax : Number of formulae : 184 ( 29 unt; 14 def)
% Number of atoms : 723 ( 111 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 934 ( 395 ~; 400 |; 83 &)
% ( 20 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 13 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 147 ( 0 sgn 119 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).
fof(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax82) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X1
& nil = X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0
| X4 = X5 ) ) ) ) )
| ( ! [X8] :
( ssItem(X8)
=> ( cons(X8,nil) != X2
| ~ memberP(X3,X8)
| ? [X9] :
( ssItem(X9)
& X8 != X9
& memberP(X3,X9)
& leq(X9,X8) ) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0
| X4 = X5 ) ) ) ) )
| ( ! [X8] :
( ssItem(X8)
=> ( cons(X8,nil) != X2
| ~ memberP(X3,X8)
| ? [X9] :
( ssItem(X9)
& X8 != X9
& memberP(X3,X9)
& leq(X9,X8) ) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& X4 != X5
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ( ? [X8] :
( cons(X8,nil) = X2
& memberP(X3,X8)
& ! [X9] :
( ~ ssItem(X9)
| X8 = X9
| ~ memberP(X3,X9)
| ~ leq(X9,X8) )
& ssItem(X8) )
| ( nil = X3
& nil = X2 ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& X4 != X5
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ( ? [X8] :
( cons(X8,nil) = X2
& memberP(X3,X8)
& ! [X9] :
( ~ ssItem(X9)
| X8 = X9
| ~ memberP(X3,X9)
| ~ leq(X9,X8) )
& ssItem(X8) )
| ( nil = X3
& nil = X2 ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X1
& nil = X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f118,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f127,plain,
( sK1 = sK3
& sK0 = sK2
& sK0 = app(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)),sK7)
& sK4 != sK5
& ssList(sK7)
& ssList(sK6)
& ssItem(sK5)
& ssItem(sK4)
& ( ( sK2 = cons(sK8,nil)
& memberP(sK3,sK8)
& ! [X9] :
( ~ ssItem(X9)
| sK8 = X9
| ~ memberP(sK3,X9)
| ~ leq(X9,sK8) )
& ssItem(sK8) )
| ( nil = sK3
& nil = sK2 ) )
& ssList(sK3)
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8)],[f99]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X1
| nil != X0 )
& ( ( nil = X1
& nil = X0 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f108]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X1
| nil != X0 )
& ( ( nil = X1
& nil = X0 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f130]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( X0 != X1
& ~ memberP(X2,X0) ) )
& ( X0 = X1
| memberP(X2,X0)
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f119]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( X0 != X1
& ~ memberP(X2,X0) ) )
& ( X0 = X1
| memberP(X2,X0)
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f132]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X1,X0)
& ~ memberP(X2,X0) ) )
& ( memberP(X1,X0)
| memberP(X2,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f120]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X1,X0)
& ~ memberP(X2,X0) ) )
& ( memberP(X1,X0)
| memberP(X2,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f134]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 ) ) )
& ( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f121]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 ) ) )
& ( ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(X4,cons(X1,X5)) = X0 ) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f136]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 ) ) )
& ( ( ssList(sK13(X0,X1))
& ssList(sK14(X0,X1))
& app(sK13(X0,X1),cons(X1,sK14(X0,X1))) = X0 )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X4,sK13(X0,X1)),skolemize(X5,sK14(X0,X1))],[f137]) ).
fof(f143,plain,
( ssItem(sK8)
| nil = sK2 ),
inference(cnf_transformation,[],[f127]) ).
fof(f149,plain,
( sK2 = cons(sK8,nil)
| nil = sK2 ),
inference(cnf_transformation,[],[f127]) ).
fof(f151,plain,
ssItem(sK4),
inference(cnf_transformation,[],[f127]) ).
fof(f152,plain,
ssItem(sK5),
inference(cnf_transformation,[],[f127]) ).
fof(f153,plain,
ssList(sK6),
inference(cnf_transformation,[],[f127]) ).
fof(f154,plain,
ssList(sK7),
inference(cnf_transformation,[],[f127]) ).
fof(f155,plain,
sK4 != sK5,
inference(cnf_transformation,[],[f127]) ).
fof(f156,plain,
sK0 = app(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)),sK7),
inference(cnf_transformation,[],[f127]) ).
fof(f157,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f127]) ).
fof(f169,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f171,plain,
! [X0,X1] :
( nil = X0
| nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f174,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f180,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f181,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f182,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f183,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| memberP(X2,X0)
| X0 = X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f188,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f192,plain,
! [X2,X3,X0,X1] :
( memberP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f196,plain,
sK2 = app(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)),sK7),
inference(definition_unfolding,[],[f156,f157]) ).
fof(f199,definition,
~ sP15(sK4),
introduced(definition,[new_symbols(definition,[sP15])],[inequality_splitting_name_introduction]) ).
fof(f200,plain,
sP15(sK5),
inference(inequality_splitting,[],[f155,f199]) ).
fof(f210,definition,
~ sP21(nil),
introduced(definition,[new_symbols(definition,[sP21])],[inequality_splitting_name_introduction]) ).
fof(f211,plain,
! [X0,X1] :
( sP21(app(X0,X1))
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(inequality_splitting,[],[f171,f210]) ).
fof(f213,plain,
! [X2,X3,X1] :
( memberP(app(X2,cons(X1,X3)),X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssList(app(X2,cons(X1,X3))) ),
inference(equality_resolution,[],[f192]) ).
fof(f216,definition,
( spl22_1
<=> nil = sK2 ),
introduced(definition,[new_symbols(definition,[spl22_1])],[avatar_definition]) ).
fof(f218,plain,
( nil = sK2
| ~ spl22_1 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f220,definition,
( spl22_2
<=> ssItem(sK8) ),
introduced(definition,[new_symbols(definition,[spl22_2])],[avatar_definition]) ).
fof(f222,plain,
( ssItem(sK8)
| ~ spl22_2 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f223,plain,
( spl22_1
| spl22_2 ),
inference(avatar_split_clause,[],[f143,f220,f216]) ).
fof(f241,definition,
( spl22_6
<=> sK2 = cons(sK8,nil) ),
introduced(definition,[new_symbols(definition,[spl22_6])],[avatar_definition]) ).
fof(f243,plain,
( sK2 = cons(sK8,nil)
| ~ spl22_6 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f244,plain,
( spl22_1
| spl22_6 ),
inference(avatar_split_clause,[],[f149,f241,f216]) ).
fof(f252,plain,
( sK2 = app(app(sK6,cons(sK4,nil)),app(cons(sK5,nil),sK7))
| ~ ssList(sK7)
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(sK6,cons(sK4,nil))) ),
inference(superposition,[],[f196,f174]) ).
fof(f264,plain,
! [X0] :
( memberP(sK2,X0)
| ~ memberP(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)),X0)
| ~ ssList(sK7)
| ~ ssList(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)))
| ~ ssItem(X0) ),
inference(superposition,[],[f188,f196]) ).
fof(f267,plain,
( sP21(sK2)
| nil = app(app(sK6,cons(sK4,nil)),cons(sK5,nil))
| ~ ssList(sK7)
| ~ ssList(app(app(sK6,cons(sK4,nil)),cons(sK5,nil))) ),
inference(superposition,[],[f211,f196]) ).
fof(f268,plain,
( sP21(sK2)
| nil = app(app(sK6,cons(sK4,nil)),cons(sK5,nil))
| ~ ssList(app(app(sK6,cons(sK4,nil)),cons(sK5,nil))) ),
inference(forward_subsumption_resolution,[],[f267,f154]) ).
fof(f271,plain,
! [X0] :
( memberP(sK2,X0)
| ~ memberP(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)),X0)
| ~ ssList(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)))
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f264,f154]) ).
fof(f282,plain,
( sK2 = app(app(sK6,cons(sK4,nil)),app(cons(sK5,nil),sK7))
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(sK6,cons(sK4,nil))) ),
inference(forward_subsumption_resolution,[],[f252,f154]) ).
fof(f289,plain,
( ! [X0] :
( memberP(cons(sK8,nil),X0)
| ~ memberP(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)),X0)
| ~ ssList(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)))
| ~ ssItem(X0) )
| ~ spl22_6 ),
inference(forward_demodulation,[],[f271,f243]) ).
fof(f300,plain,
( cons(sK8,nil) = app(app(sK6,cons(sK4,nil)),app(cons(sK5,nil),sK7))
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl22_6 ),
inference(forward_demodulation,[],[f282,f243]) ).
fof(f302,definition,
( spl22_7
<=> ssList(app(sK6,cons(sK4,nil))) ),
introduced(definition,[new_symbols(definition,[spl22_7])],[avatar_definition]) ).
fof(f303,plain,
( ssList(app(sK6,cons(sK4,nil)))
| ~ spl22_7 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f304,plain,
( ~ ssList(app(sK6,cons(sK4,nil)))
| spl22_7 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f306,definition,
( spl22_8
<=> ssList(cons(sK5,nil)) ),
introduced(definition,[new_symbols(definition,[spl22_8])],[avatar_definition]) ).
fof(f307,plain,
( ssList(cons(sK5,nil))
| ~ spl22_8 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f308,plain,
( ~ ssList(cons(sK5,nil))
| spl22_8 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f325,definition,
( spl22_12
<=> ssList(app(app(sK6,cons(sK4,nil)),cons(sK5,nil))) ),
introduced(definition,[new_symbols(definition,[spl22_12])],[avatar_definition]) ).
fof(f326,plain,
( ssList(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)))
| ~ spl22_12 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f327,plain,
( ~ ssList(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)))
| spl22_12 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f329,definition,
( spl22_13
<=> nil = app(app(sK6,cons(sK4,nil)),cons(sK5,nil)) ),
introduced(definition,[new_symbols(definition,[spl22_13])],[avatar_definition]) ).
fof(f330,plain,
( nil != app(app(sK6,cons(sK4,nil)),cons(sK5,nil))
| spl22_13 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f331,plain,
( nil = app(app(sK6,cons(sK4,nil)),cons(sK5,nil))
| ~ spl22_13 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f360,definition,
( spl22_20
<=> ! [X0] :
( memberP(cons(sK8,nil),X0)
| ~ ssItem(X0)
| ~ memberP(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl22_20])],[avatar_definition]) ).
fof(f361,plain,
( ! [X0] :
( ~ memberP(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)),X0)
| ~ ssItem(X0)
| memberP(cons(sK8,nil),X0) )
| ~ spl22_20 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f362,plain,
( ~ spl22_12
| spl22_20
| ~ spl22_6 ),
inference(avatar_split_clause,[],[f289,f241,f360,f325]) ).
fof(f390,definition,
( spl22_27
<=> cons(sK8,nil) = app(app(sK6,cons(sK4,nil)),app(cons(sK5,nil),sK7)) ),
introduced(definition,[new_symbols(definition,[spl22_27])],[avatar_definition]) ).
fof(f392,plain,
( cons(sK8,nil) = app(app(sK6,cons(sK4,nil)),app(cons(sK5,nil),sK7))
| ~ spl22_27 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f395,plain,
( ~ spl22_7
| ~ spl22_8
| spl22_27
| ~ spl22_6 ),
inference(avatar_split_clause,[],[f300,f241,f390,f306,f302]) ).
fof(f397,definition,
( spl22_28
<=> ssList(cons(sK4,nil)) ),
introduced(definition,[new_symbols(definition,[spl22_28])],[avatar_definition]) ).
fof(f398,plain,
( ssList(cons(sK4,nil))
| ~ spl22_28 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f399,plain,
( ~ ssList(cons(sK4,nil))
| spl22_28 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f418,plain,
( ~ ssItem(sK5)
| ~ ssList(nil)
| spl22_8 ),
inference(resolution,[],[f308,f169]) ).
fof(f419,plain,
( ~ ssList(nil)
| spl22_8 ),
inference(forward_subsumption_resolution,[],[f418,f152]) ).
fof(f420,plain,
( $false
| spl22_8 ),
inference(forward_subsumption_resolution,[],[f419,f181]) ).
fof(f421,plain,
spl22_8,
inference(avatar_contradiction_clause,[],[f420]) ).
fof(f422,plain,
( ~ ssItem(sK4)
| ~ ssList(nil)
| spl22_28 ),
inference(resolution,[],[f399,f169]) ).
fof(f423,plain,
( ~ ssList(nil)
| spl22_28 ),
inference(forward_subsumption_resolution,[],[f422,f151]) ).
fof(f424,plain,
( $false
| spl22_28 ),
inference(forward_subsumption_resolution,[],[f423,f181]) ).
fof(f425,plain,
spl22_28,
inference(avatar_contradiction_clause,[],[f424]) ).
fof(f426,plain,
( ~ ssList(cons(sK4,nil))
| ~ ssList(sK6)
| spl22_7 ),
inference(resolution,[],[f304,f180]) ).
fof(f428,plain,
( ~ ssList(sK6)
| spl22_7
| ~ spl22_28 ),
inference(forward_subsumption_resolution,[],[f426,f398]) ).
fof(f429,plain,
( $false
| spl22_7
| ~ spl22_28 ),
inference(forward_subsumption_resolution,[],[f428,f153]) ).
fof(f430,plain,
( spl22_7
| ~ spl22_28 ),
inference(avatar_contradiction_clause,[],[f429]) ).
fof(f432,plain,
( ~ ssList(cons(sK5,nil))
| ~ ssList(app(sK6,cons(sK4,nil)))
| spl22_12 ),
inference(resolution,[],[f327,f180]) ).
fof(f437,plain,
( ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl22_8
| spl22_12 ),
inference(forward_subsumption_resolution,[],[f432,f307]) ).
fof(f439,plain,
( $false
| ~ spl22_7
| ~ spl22_8
| spl22_12 ),
inference(forward_subsumption_resolution,[],[f437,f303]) ).
fof(f440,plain,
( ~ spl22_7
| ~ spl22_8
| spl22_12 ),
inference(avatar_contradiction_clause,[],[f439]) ).
fof(f501,plain,
( ! [X0] :
( memberP(cons(sK8,nil),X0)
| ~ memberP(app(sK6,cons(sK4,nil)),X0)
| ~ ssList(app(cons(sK5,nil),sK7))
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ ssItem(X0) )
| ~ spl22_27 ),
inference(superposition,[],[f188,f392]) ).
fof(f507,plain,
( ! [X0] :
( memberP(cons(sK8,nil),X0)
| ~ memberP(app(sK6,cons(sK4,nil)),X0)
| ~ ssList(app(cons(sK5,nil),sK7))
| ~ ssItem(X0) )
| ~ spl22_7
| ~ spl22_27 ),
inference(forward_subsumption_resolution,[],[f501,f303]) ).
fof(f538,definition,
( spl22_33
<=> ! [X0] :
( memberP(cons(sK8,nil),X0)
| ~ ssItem(X0)
| ~ memberP(app(sK6,cons(sK4,nil)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl22_33])],[avatar_definition]) ).
fof(f539,plain,
( ! [X0] :
( ~ memberP(app(sK6,cons(sK4,nil)),X0)
| ~ ssItem(X0)
| memberP(cons(sK8,nil),X0) )
| ~ spl22_33 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f613,definition,
( spl22_46
<=> ssList(app(cons(sK5,nil),sK7)) ),
introduced(definition,[new_symbols(definition,[spl22_46])],[avatar_definition]) ).
fof(f615,plain,
( ~ ssList(app(cons(sK5,nil),sK7))
| spl22_46 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f621,plain,
( ~ spl22_46
| spl22_33
| ~ spl22_7
| ~ spl22_27 ),
inference(avatar_split_clause,[],[f507,f390,f302,f538,f613]) ).
fof(f661,plain,
( ~ ssList(sK7)
| ~ ssList(cons(sK5,nil))
| spl22_46 ),
inference(resolution,[],[f615,f180]) ).
fof(f663,plain,
( ~ ssList(cons(sK5,nil))
| spl22_46 ),
inference(forward_subsumption_resolution,[],[f661,f154]) ).
fof(f664,plain,
( $false
| ~ spl22_8
| spl22_46 ),
inference(forward_subsumption_resolution,[],[f663,f307]) ).
fof(f665,plain,
( ~ spl22_8
| spl22_46 ),
inference(avatar_contradiction_clause,[],[f664]) ).
fof(f718,plain,
( ~ ssItem(sK5)
| memberP(cons(sK8,nil),sK5)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ ssList(nil)
| ~ ssItem(sK5)
| ~ ssList(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)))
| ~ spl22_20 ),
inference(resolution,[],[f361,f213]) ).
fof(f722,plain,
( ~ ssItem(sK5)
| memberP(cons(sK8,nil),sK5)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ ssList(nil)
| ~ ssList(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)))
| ~ spl22_20 ),
inference(duplicate_literal_removal,[],[f718]) ).
fof(f725,plain,
( memberP(cons(sK8,nil),sK5)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ ssList(nil)
| ~ ssList(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)))
| ~ spl22_20 ),
inference(forward_subsumption_resolution,[],[f722,f152]) ).
fof(f727,plain,
( memberP(cons(sK8,nil),sK5)
| ~ ssList(nil)
| ~ ssList(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)))
| ~ spl22_7
| ~ spl22_20 ),
inference(forward_subsumption_resolution,[],[f725,f303]) ).
fof(f729,plain,
( memberP(cons(sK8,nil),sK5)
| ~ ssList(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)))
| ~ spl22_7
| ~ spl22_20 ),
inference(forward_subsumption_resolution,[],[f727,f181]) ).
fof(f730,plain,
( memberP(cons(sK8,nil),sK5)
| ~ spl22_7
| ~ spl22_12
| ~ spl22_20 ),
inference(forward_subsumption_resolution,[],[f729,f326]) ).
fof(f731,plain,
( memberP(nil,sK5)
| sK5 = sK8
| ~ ssList(nil)
| ~ ssItem(sK8)
| ~ ssItem(sK5)
| ~ spl22_7
| ~ spl22_12
| ~ spl22_20 ),
inference(resolution,[],[f730,f183]) ).
fof(f732,plain,
( sK5 = sK8
| ~ ssList(nil)
| ~ ssItem(sK8)
| ~ ssItem(sK5)
| ~ spl22_7
| ~ spl22_12
| ~ spl22_20 ),
inference(forward_subsumption_resolution,[],[f731,f182]) ).
fof(f733,plain,
( sK5 = sK8
| ~ ssItem(sK8)
| ~ ssItem(sK5)
| ~ spl22_7
| ~ spl22_12
| ~ spl22_20 ),
inference(forward_subsumption_resolution,[],[f732,f181]) ).
fof(f734,plain,
( sK5 = sK8
| ~ ssItem(sK5)
| ~ spl22_2
| ~ spl22_7
| ~ spl22_12
| ~ spl22_20 ),
inference(forward_subsumption_resolution,[],[f733,f222]) ).
fof(f735,plain,
( sK5 = sK8
| ~ spl22_2
| ~ spl22_7
| ~ spl22_12
| ~ spl22_20 ),
inference(forward_subsumption_resolution,[],[f734,f152]) ).
fof(f753,plain,
( sP15(sK8)
| ~ spl22_2
| ~ spl22_7
| ~ spl22_12
| ~ spl22_20 ),
inference(superposition,[],[f200,f735]) ).
fof(f988,plain,
( sP21(sK2)
| ~ ssList(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)))
| spl22_13 ),
inference(forward_subsumption_resolution,[],[f268,f330]) ).
fof(f1009,plain,
( sP21(sK2)
| ~ spl22_12
| spl22_13 ),
inference(forward_subsumption_resolution,[],[f988,f326]) ).
fof(f1028,plain,
( sP21(nil)
| ~ spl22_1
| ~ spl22_12
| spl22_13 ),
inference(forward_demodulation,[],[f1009,f218]) ).
fof(f1046,plain,
( $false
| ~ spl22_1
| ~ spl22_12
| spl22_13 ),
inference(forward_subsumption_resolution,[],[f1028,f210]) ).
fof(f1047,plain,
( ~ spl22_1
| ~ spl22_12
| spl22_13 ),
inference(avatar_contradiction_clause,[],[f1046]) ).
fof(f1423,plain,
( memberP(nil,sK5)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ ssList(nil)
| ~ ssItem(sK5)
| ~ ssList(nil)
| ~ spl22_13 ),
inference(superposition,[],[f213,f331]) ).
fof(f1436,plain,
( memberP(nil,sK5)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ ssList(nil)
| ~ ssItem(sK5)
| ~ spl22_13 ),
inference(duplicate_literal_removal,[],[f1423]) ).
fof(f1447,plain,
( ~ ssList(app(sK6,cons(sK4,nil)))
| ~ ssList(nil)
| ~ ssItem(sK5)
| ~ spl22_13 ),
inference(forward_subsumption_resolution,[],[f1436,f182]) ).
fof(f1463,plain,
( ~ ssList(nil)
| ~ ssItem(sK5)
| ~ spl22_7
| ~ spl22_13 ),
inference(forward_subsumption_resolution,[],[f1447,f303]) ).
fof(f1471,plain,
( ~ ssItem(sK5)
| ~ spl22_7
| ~ spl22_13 ),
inference(forward_subsumption_resolution,[],[f1463,f181]) ).
fof(f1476,plain,
( $false
| ~ spl22_7
| ~ spl22_13 ),
inference(forward_subsumption_resolution,[],[f1471,f152]) ).
fof(f1477,plain,
( ~ spl22_7
| ~ spl22_13 ),
inference(avatar_contradiction_clause,[],[f1476]) ).
fof(f1788,plain,
( ~ ssItem(sK4)
| memberP(cons(sK8,nil),sK4)
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssItem(sK4)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl22_33 ),
inference(resolution,[],[f539,f213]) ).
fof(f1790,plain,
( ~ ssItem(sK4)
| memberP(cons(sK8,nil),sK4)
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl22_33 ),
inference(duplicate_literal_removal,[],[f1788]) ).
fof(f1793,plain,
( memberP(cons(sK8,nil),sK4)
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl22_33 ),
inference(forward_subsumption_resolution,[],[f1790,f151]) ).
fof(f1796,plain,
( memberP(cons(sK8,nil),sK4)
| ~ ssList(nil)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl22_33 ),
inference(forward_subsumption_resolution,[],[f1793,f153]) ).
fof(f1799,plain,
( memberP(cons(sK8,nil),sK4)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl22_33 ),
inference(forward_subsumption_resolution,[],[f1796,f181]) ).
fof(f1800,plain,
( memberP(cons(sK8,nil),sK4)
| ~ spl22_7
| ~ spl22_33 ),
inference(forward_subsumption_resolution,[],[f1799,f303]) ).
fof(f1801,plain,
( memberP(nil,sK4)
| sK4 = sK8
| ~ ssList(nil)
| ~ ssItem(sK8)
| ~ ssItem(sK4)
| ~ spl22_7
| ~ spl22_33 ),
inference(resolution,[],[f1800,f183]) ).
fof(f1802,plain,
( sK4 = sK8
| ~ ssList(nil)
| ~ ssItem(sK8)
| ~ ssItem(sK4)
| ~ spl22_7
| ~ spl22_33 ),
inference(forward_subsumption_resolution,[],[f1801,f182]) ).
fof(f1803,plain,
( sK4 = sK8
| ~ ssItem(sK8)
| ~ ssItem(sK4)
| ~ spl22_7
| ~ spl22_33 ),
inference(forward_subsumption_resolution,[],[f1802,f181]) ).
fof(f1804,plain,
( sK4 = sK8
| ~ ssItem(sK4)
| ~ spl22_2
| ~ spl22_7
| ~ spl22_33 ),
inference(forward_subsumption_resolution,[],[f1803,f222]) ).
fof(f1805,plain,
( sK4 = sK8
| ~ spl22_2
| ~ spl22_7
| ~ spl22_33 ),
inference(forward_subsumption_resolution,[],[f1804,f151]) ).
fof(f1814,plain,
( ~ sP15(sK8)
| ~ spl22_2
| ~ spl22_7
| ~ spl22_33 ),
inference(superposition,[],[f199,f1805]) ).
fof(f1845,plain,
( $false
| ~ spl22_2
| ~ spl22_7
| ~ spl22_12
| ~ spl22_20
| ~ spl22_33 ),
inference(forward_subsumption_resolution,[],[f1814,f753]) ).
fof(f1846,plain,
( ~ spl22_2
| ~ spl22_7
| ~ spl22_12
| ~ spl22_20
| ~ spl22_33 ),
inference(avatar_contradiction_clause,[],[f1845]) ).
cnf(s1,plain,
( spl22_1
| spl22_2 ),
inference(sat_conversion,[],[f223]) ).
cnf(s7,plain,
( spl22_1
| spl22_6 ),
inference(sat_conversion,[],[f244]) ).
cnf(s13,plain,
( ~ spl22_6
| ~ spl22_12
| spl22_20 ),
inference(sat_conversion,[],[f362]) ).
cnf(s24,plain,
( ~ spl22_6
| ~ spl22_7
| ~ spl22_8
| spl22_27 ),
inference(sat_conversion,[],[f395]) ).
cnf(s27,plain,
spl22_8,
inference(sat_conversion,[],[f421]) ).
cnf(s28,plain,
spl22_28,
inference(sat_conversion,[],[f425]) ).
cnf(s29,plain,
( spl22_7
| ~ spl22_28 ),
inference(sat_conversion,[],[f430]) ).
cnf(s30,plain,
( ~ spl22_7
| ~ spl22_8
| spl22_12 ),
inference(sat_conversion,[],[f440]) ).
cnf(s48,plain,
( ~ spl22_7
| ~ spl22_27
| spl22_33
| ~ spl22_46 ),
inference(sat_conversion,[],[f621]) ).
cnf(s61,plain,
( ~ spl22_8
| spl22_46 ),
inference(sat_conversion,[],[f665]) ).
cnf(s67,plain,
( ~ spl22_1
| ~ spl22_12
| spl22_13 ),
inference(sat_conversion,[],[f1047]) ).
cnf(s78,plain,
( ~ spl22_7
| ~ spl22_13 ),
inference(sat_conversion,[],[f1477]) ).
cnf(s81,plain,
( ~ spl22_2
| ~ spl22_7
| ~ spl22_12
| ~ spl22_20
| ~ spl22_33 ),
inference(sat_conversion,[],[f1846]) ).
cnf(s82,plain,
spl22_7,
inference(rat,[],[s29,s28]) ).
cnf(s83,plain,
~ spl22_13,
inference(rat,[],[s78,s82]) ).
cnf(s85,plain,
spl22_46,
inference(rat,[],[s61,s27]) ).
cnf(s86,plain,
spl22_12,
inference(rat,[],[s30,s82,s27]) ).
cnf(s87,plain,
~ spl22_1,
inference(rat,[],[s67,s83,s86]) ).
cnf(s90,plain,
( ~ spl22_6
| spl22_27 ),
inference(rat,[],[s24,s27,s82]) ).
cnf(s101,plain,
( ~ spl22_6
| spl22_20 ),
inference(rat,[],[s13,s86]) ).
cnf(s106,plain,
spl22_6,
inference(rat,[],[s7,s87]) ).
cnf(s108,plain,
spl22_27,
inference(rat,[],[s90,s106]) ).
cnf(s115,plain,
spl22_20,
inference(rat,[],[s101,s106]) ).
cnf(s125,plain,
spl22_33,
inference(rat,[],[s48,s85,s82,s108]) ).
cnf(s126,plain,
~ spl22_2,
inference(rat,[],[s81,s125,s86,s82,s115]) ).
cnf(s130,plain,
$false,
inference(rat,[],[s1,s126,s87]) ).
fof(f1849,plain,
$false,
inference(avatar_sat_refutation,[],[s130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC188+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n004.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 08:21:37 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.03/1.49 % (205439)Detected formulas, will run a generic FOF schedule.
% 4.03/1.49 % (205459)dis-21_1_sil=8000:lcm=predicate:random_seed=3056691155:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.03/1.49 % (205459)Instruction limit reached!
% 4.03/1.49 % (205459)------------------------------
% 4.03/1.49 % (205459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.49 % (205459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.49 % (205459)CaDiCaL version: 2.1.3
% 4.03/1.49 % (205459)Termination reason: Instruction limit
% 4.03/1.49 % (205459)Termination phase: Saturation
% 4.03/1.49 % (205459)Time elapsed: 0.053 s
% 4.03/1.49 % (205459)Peak memory usage: 91 MB
% 4.03/1.49 % (205459)Instructions burned: 129 (million)
% 4.03/1.49 % (205453)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=967742781:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.03/1.49 % (205456)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2394945974:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.03/1.49 % (205454)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=2439960232:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.03/1.49 % (205455)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=3301817105:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.03/1.49 % (205457)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=371134915:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.03/1.49 % (205458)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1382801405:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.03/1.49 % (205456)First to succeed.
% 4.03/1.49 % (205456)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-205439"
% 4.03/1.49 % (205463)lrs+10_1_sil=8000:sp=occurrence:random_seed=1945809587:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.03/1.49 % (205457)Instruction limit reached!
% 4.03/1.49 % (205457)------------------------------
% 4.03/1.49 % (205457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.49 % (205457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.49 % (205457)CaDiCaL version: 2.1.3
% 4.03/1.49 % (205457)Termination reason: Instruction limit
% 4.03/1.49 % (205457)Termination phase: Saturation
% 4.03/1.49 % (205457)Time elapsed: 0.107 s
% 4.03/1.49 % (205457)Peak memory usage: 88 MB
% 4.03/1.49 % (205457)Instructions burned: 119 (million)
% 4.03/1.49 % (205458)Instruction limit reached!
% 4.03/1.49 % (205458)------------------------------
% 4.03/1.49 % (205458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.49 % (205458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.49 % (205458)CaDiCaL version: 2.1.3
% 4.03/1.49 % (205458)Termination reason: Instruction limit
% 4.03/1.49 % (205458)Termination phase: Saturation
% 4.03/1.49 % (205458)Time elapsed: 0.150 s
% 4.03/1.49 % (205458)Peak memory usage: 90 MB
% 4.03/1.49 % (205458)Instructions burned: 139 (million)
% 4.03/1.49 % (205463)Instruction limit reached!
% 4.03/1.49 % (205463)------------------------------
% 4.03/1.49 % (205463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.49 % (205463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.49 % (205463)CaDiCaL version: 2.1.3
% 4.03/1.49 % (205463)Termination reason: Instruction limit
% 4.03/1.49 % (205463)Termination phase: Saturation
% 4.03/1.49 % (205463)Time elapsed: 0.156 s
% 4.03/1.49 % (205463)Peak memory usage: 93 MB
% 4.03/1.49 % (205463)Instructions burned: 286 (million)
% 4.03/1.49 % (205474)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4250671780:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 4.03/1.49 % (205475)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2456175809:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 4.03/1.49 % (205476)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=4099942497:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.03/1.49 % (205474)Instruction limit reached!
% 4.03/1.49 % (205474)------------------------------
% 4.03/1.49 % (205474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.49 % (205474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.49 % (205474)CaDiCaL version: 2.1.3
% 4.03/1.49 % (205474)Termination reason: Instruction limit
% 4.03/1.49 % (205474)Termination phase: Saturation
% 4.03/1.49 % (205474)Time elapsed: 0.140 s
% 4.03/1.49 % (205474)Peak memory usage: 93 MB
% 4.03/1.49 % (205474)Instructions burned: 157 (million)
% 4.03/1.49 % (205456)Refutation found. Thanks to Tanya!
% 4.03/1.49 % SZS status Theorem for theBenchmark
% 4.03/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 5.54/1.78 % (205456)------------------------------
% 5.54/1.78 % (205456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.78 % (205456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.78 % (205456)CaDiCaL version: 2.1.3
% 5.54/1.78 % (205456)Termination reason: Refutation
% 5.54/1.78 % (205456)Time elapsed: 0.066 s
% 5.54/1.78 % (205456)Peak memory usage: 90 MB
% 5.54/1.78 % (205456)Instructions burned: 68 (million)
% 5.54/1.78 % (205456)------------------------------
% 5.54/1.78 % (205456)------------------------------
% 5.54/1.78 % (205439)Success in time 0.686 s
% 5.54/1.78 % Vampire exiting
%------------------------------------------------------------------------------