%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC073+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 : 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 01:02:19 PM UTC 2026
% Result : Theorem 3.47s 1.60s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 28
% Syntax : Number of formulae : 206 ( 28 unt; 15 def)
% Number of atoms : 759 ( 158 equ)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 977 ( 424 ~; 431 |; 76 &)
% ( 19 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 16 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 158 ( 0 sgn 132 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
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(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax84) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ? [X4] :
( ssList(X4)
& neq(X4,nil)
& segmentP(X1,X4)
& segmentP(X0,X4) )
| ( nil != X2
& nil = X3 )
| ( nil = X1
& nil = X0 )
| ( neq(X3,nil)
& ( ~ neq(X2,nil)
| ? [X5] :
( ssList(X5)
& X3 != X5
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& tl(X2) = X6
& app(X6,X7) = X5
& ? [X8] :
( ssItem(X8)
& cons(X8,nil) = X7
& hd(X2) = X8
& neq(nil,X2) )
& neq(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] :
( ssList(X4)
& neq(X4,nil)
& segmentP(X1,X4)
& segmentP(X0,X4) )
| ( nil != X2
& nil = X3 )
| ( nil = X1
& nil = X0 )
| ( neq(X3,nil)
& ( ~ neq(X2,nil)
| ? [X5] :
( ssList(X5)
& X3 != X5
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& tl(X2) = X6
& app(X6,X7) = X5
& ? [X8] :
( ssItem(X8)
& cons(X8,nil) = X7
& hd(X2) = X8
& neq(nil,X2) )
& neq(nil,X2) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(X1,X4)
| ~ segmentP(X0,X4) )
& ( nil = X2
| nil != X3 )
& ( nil != X1
| nil != X0 )
& ( ~ neq(X3,nil)
| ( neq(X2,nil)
& ! [X5] :
( ~ ssList(X5)
| X3 = X5
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| tl(X2) != X6
| app(X6,X7) != X5
| ! [X8] :
( ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(X2) != X8
| ~ neq(nil,X2) )
| ~ neq(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] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(X1,X4)
| ~ segmentP(X0,X4) )
& ( nil = X2
| nil != X3 )
& ( nil != X1
| nil != X0 )
& ( ~ neq(X3,nil)
| ( neq(X2,nil)
& ! [X5] :
( ~ ssList(X5)
| X3 = X5
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| tl(X2) != X6
| app(X6,X7) != X5
| ! [X8] :
( ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(X2) != X8
| ~ neq(nil,X2) )
| ~ neq(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(f107,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f115,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f122,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f123,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f122]) ).
fof(f131,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f132,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f131]) ).
fof(f138,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f139,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f138]) ).
fof(f144,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f149,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f179,plain,
( sK1 = sK3
& sK0 = sK2
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(sK1,X4)
| ~ segmentP(sK0,X4) )
& ( nil = sK2
| nil != sK3 )
& ( nil != sK1
| nil != sK0 )
& ( ~ neq(sK3,nil)
| ( neq(sK2,nil)
& ! [X5] :
( ~ ssList(X5)
| sK3 = X5
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| tl(sK2) != X6
| app(X6,X7) != X5
| ! [X8] :
( ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(sK2) != X8
| ~ neq(nil,sK2) )
| ~ neq(nil,sK2) ) ) ) ) )
& ssList(sK3)
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f99]) ).
fof(f184,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f193,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 ) ) )
& ( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f149]) ).
fof(f194,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 ) ) )
& ( ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X4,X1),X5) = X0 ) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f193]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 ) ) )
& ( ( ssList(sK10(X0,X1))
& ssList(sK11(X0,X1))
& app(app(sK10(X0,X1),X1),sK11(X0,X1)) = X0 )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X4,sK10(X0,X1)),skolemize(X5,sK11(X0,X1))],[f194]) ).
fof(f208,plain,
ssList(sK0),
inference(cnf_transformation,[],[f179]) ).
fof(f209,plain,
ssList(sK1),
inference(cnf_transformation,[],[f179]) ).
fof(f212,plain,
! [X8,X6,X7,X5] :
( ~ neq(sK3,nil)
| ~ ssList(X5)
| sK3 = X5
| ~ ssList(X6)
| ~ ssList(X7)
| tl(sK2) != X6
| app(X6,X7) != X5
| ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(sK2) != X8
| ~ neq(nil,sK2)
| ~ neq(nil,sK2) ),
inference(cnf_transformation,[],[f179]) ).
fof(f213,plain,
( ~ neq(sK3,nil)
| neq(sK2,nil) ),
inference(cnf_transformation,[],[f179]) ).
fof(f214,plain,
( nil != sK1
| nil != sK0 ),
inference(cnf_transformation,[],[f179]) ).
fof(f215,plain,
( nil = sK2
| nil != sK3 ),
inference(cnf_transformation,[],[f179]) ).
fof(f216,plain,
! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(sK1,X4)
| ~ segmentP(sK0,X4) ),
inference(cnf_transformation,[],[f179]) ).
fof(f217,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f179]) ).
fof(f218,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f179]) ).
fof(f229,plain,
! [X0,X1] :
( ~ ssItem(X1)
| ssList(cons(X1,X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f230,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f107]) ).
fof(f235,plain,
! [X0,X1] :
( ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f238,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f115]) ).
fof(f240,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f241,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f242,plain,
! [X0,X1] :
( ~ ssList(X0)
| X0 = X1
| ~ ssList(X1)
| neq(X0,X1) ),
inference(cnf_transformation,[],[f184]) ).
fof(f245,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f247,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f123]) ).
fof(f262,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f267,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f272,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,X1),X3) != X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f325,plain,
! [X4] :
( ~ segmentP(sK3,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ segmentP(sK2,X4) ),
inference(definition_unfolding,[],[f216,f218,f217]) ).
fof(f326,plain,
( nil != sK3
| nil != sK2 ),
inference(definition_unfolding,[],[f214,f218,f217]) ).
fof(f327,plain,
ssList(sK3),
inference(definition_unfolding,[],[f209,f218]) ).
fof(f328,plain,
ssList(sK2),
inference(definition_unfolding,[],[f208,f217]) ).
fof(f329,plain,
! [X8,X7,X5] :
( ~ neq(sK3,nil)
| ~ ssList(X5)
| sK3 = X5
| ~ ssList(tl(sK2))
| ~ ssList(X7)
| app(tl(sK2),X7) != X5
| ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(sK2) != X8
| ~ neq(nil,sK2)
| ~ neq(nil,sK2) ),
inference(equality_resolution,[],[f212]) ).
fof(f330,plain,
! [X8,X7] :
( ~ neq(sK3,nil)
| ~ ssList(app(tl(sK2),X7))
| sK3 = app(tl(sK2),X7)
| ~ ssList(tl(sK2))
| ~ ssList(X7)
| ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(sK2) != X8
| ~ neq(nil,sK2)
| ~ neq(nil,sK2) ),
inference(equality_resolution,[],[f329]) ).
fof(f331,plain,
! [X8] :
( ~ neq(sK3,nil)
| ~ ssList(app(tl(sK2),cons(X8,nil)))
| sK3 = app(tl(sK2),cons(X8,nil))
| ~ ssList(tl(sK2))
| ~ ssList(cons(X8,nil))
| ~ ssItem(X8)
| hd(sK2) != X8
| ~ neq(nil,sK2)
| ~ neq(nil,sK2) ),
inference(equality_resolution,[],[f330]) ).
fof(f332,plain,
( ~ neq(sK3,nil)
| ~ ssList(app(tl(sK2),cons(hd(sK2),nil)))
| sK3 = app(tl(sK2),cons(hd(sK2),nil))
| ~ ssList(tl(sK2))
| ~ ssList(cons(hd(sK2),nil))
| ~ ssItem(hd(sK2))
| ~ neq(nil,sK2)
| ~ neq(nil,sK2) ),
inference(equality_resolution,[],[f331]) ).
fof(f335,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f241]) ).
fof(f342,plain,
! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(app(app(X2,X1),X3)) ),
inference(equality_resolution,[],[f278]) ).
fof(f349,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f335]) ).
fof(f351,plain,
( ~ neq(sK3,nil)
| ~ ssList(app(tl(sK2),cons(hd(sK2),nil)))
| sK3 = app(tl(sK2),cons(hd(sK2),nil))
| ~ ssList(tl(sK2))
| ~ ssList(cons(hd(sK2),nil))
| ~ ssItem(hd(sK2))
| ~ neq(nil,sK2) ),
inference(duplicate_literal_removal,[],[f332]) ).
fof(f352,plain,
( ~ neq(sK3,nil)
| sK3 = app(tl(sK2),cons(hd(sK2),nil))
| ~ ssList(tl(sK2))
| ~ ssList(cons(hd(sK2),nil))
| ~ ssItem(hd(sK2))
| ~ neq(nil,sK2) ),
inference(forward_subsumption_resolution,[],[f351,f240]) ).
fof(f354,definition,
( spl27_1
<=> neq(sK2,nil) ),
introduced(definition,[new_symbols(definition,[spl27_1])],[avatar_definition]) ).
fof(f355,plain,
( neq(sK2,nil)
| ~ spl27_1 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f357,definition,
( spl27_2
<=> neq(sK3,nil) ),
introduced(definition,[new_symbols(definition,[spl27_2])],[avatar_definition]) ).
fof(f358,plain,
( ~ neq(sK3,nil)
| spl27_2 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f359,plain,
( spl27_1
| ~ spl27_2 ),
inference(avatar_split_clause,[],[f213,f357,f354]) ).
fof(f361,definition,
( spl27_3
<=> nil = sK2 ),
introduced(definition,[new_symbols(definition,[spl27_3])],[avatar_definition]) ).
fof(f364,definition,
( spl27_4
<=> nil = sK3 ),
introduced(definition,[new_symbols(definition,[spl27_4])],[avatar_definition]) ).
fof(f365,plain,
( nil != sK3
| spl27_4 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f366,plain,
( ~ spl27_3
| ~ spl27_4 ),
inference(avatar_split_clause,[],[f326,f364,f361]) ).
fof(f367,plain,
( nil = sK2
| ~ spl27_3 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f368,plain,
( ~ spl27_4
| spl27_3 ),
inference(avatar_split_clause,[],[f215,f361,f364]) ).
fof(f370,definition,
( spl27_5
<=> neq(nil,sK2) ),
introduced(definition,[new_symbols(definition,[spl27_5])],[avatar_definition]) ).
fof(f371,plain,
( ~ neq(nil,sK2)
| spl27_5 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f373,definition,
( spl27_6
<=> ssItem(hd(sK2)) ),
introduced(definition,[new_symbols(definition,[spl27_6])],[avatar_definition]) ).
fof(f374,plain,
( ~ ssItem(hd(sK2))
| spl27_6 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f376,definition,
( spl27_7
<=> ssList(cons(hd(sK2),nil)) ),
introduced(definition,[new_symbols(definition,[spl27_7])],[avatar_definition]) ).
fof(f377,plain,
( ~ ssList(cons(hd(sK2),nil))
| spl27_7 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f379,definition,
( spl27_8
<=> ssList(tl(sK2)) ),
introduced(definition,[new_symbols(definition,[spl27_8])],[avatar_definition]) ).
fof(f382,definition,
( spl27_9
<=> sK3 = app(tl(sK2),cons(hd(sK2),nil)) ),
introduced(definition,[new_symbols(definition,[spl27_9])],[avatar_definition]) ).
fof(f383,plain,
( sK3 = app(tl(sK2),cons(hd(sK2),nil))
| ~ spl27_9 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f384,plain,
( ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| spl27_9
| ~ spl27_2 ),
inference(avatar_split_clause,[],[f352,f357,f382,f379,f376,f373,f370]) ).
fof(f385,plain,
( nil = sK2
| ssList(tl(sK2)) ),
inference(resolution,[],[f328,f267]) ).
fof(f387,plain,
( ssList(tl(sK2))
| ~ spl27_8 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f388,plain,
( spl27_8
| spl27_3 ),
inference(avatar_split_clause,[],[f385,f361,f379]) ).
fof(f401,plain,
( nil = sK2
| sK2 = cons(hd(sK2),tl(sK2)) ),
inference(resolution,[],[f247,f328]) ).
fof(f410,definition,
( spl27_13
<=> sK2 = cons(hd(sK2),tl(sK2)) ),
introduced(definition,[new_symbols(definition,[spl27_13])],[avatar_definition]) ).
fof(f411,plain,
( sK2 = cons(hd(sK2),tl(sK2))
| ~ spl27_13 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f412,plain,
( spl27_13
| spl27_3 ),
inference(avatar_split_clause,[],[f401,f361,f410]) ).
fof(f415,plain,
! [X0] :
( neq(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
inference(resolution,[],[f245,f242]) ).
fof(f416,plain,
( $false
| spl27_2
| spl27_4 ),
inference(unit_resulting_resolution,[],[f242,f327,f245,f358,f365]) ).
fof(f417,plain,
( spl27_2
| spl27_4 ),
inference(avatar_contradiction_clause,[],[f416]) ).
fof(f418,plain,
( ~ ssList(sK3)
| ~ neq(sK3,nil)
| ~ ssList(sK3)
| ~ segmentP(sK2,sK3) ),
inference(resolution,[],[f272,f325]) ).
fof(f419,plain,
( ~ ssList(sK3)
| ~ neq(sK3,nil)
| ~ segmentP(sK2,sK3) ),
inference(duplicate_literal_removal,[],[f418]) ).
fof(f420,plain,
( ~ neq(sK3,nil)
| ~ segmentP(sK2,sK3) ),
inference(forward_subsumption_resolution,[],[f419,f327]) ).
fof(f422,definition,
( spl27_14
<=> segmentP(sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl27_14])],[avatar_definition]) ).
fof(f423,plain,
( ~ segmentP(sK2,sK3)
| spl27_14 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f424,plain,
( ~ spl27_14
| ~ spl27_2 ),
inference(avatar_split_clause,[],[f420,f357,f422]) ).
fof(f429,plain,
( ! [X0] :
( neq(tl(sK2),X0)
| ~ ssList(X0)
| tl(sK2) = X0 )
| ~ spl27_8 ),
inference(resolution,[],[f387,f242]) ).
fof(f434,definition,
( spl27_16
<=> nil = tl(sK2) ),
introduced(definition,[new_symbols(definition,[spl27_16])],[avatar_definition]) ).
fof(f435,plain,
( nil = tl(sK2)
| ~ spl27_16 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f443,plain,
( tl(sK2) = app(nil,tl(sK2))
| ~ spl27_8 ),
inference(resolution,[],[f238,f387]) ).
fof(f444,plain,
sK2 = app(nil,sK2),
inference(resolution,[],[f238,f328]) ).
fof(f456,plain,
sK2 = app(sK2,nil),
inference(resolution,[],[f230,f328]) ).
fof(f460,plain,
( ~ ssList(sK2)
| nil = sK2
| spl27_5 ),
inference(resolution,[],[f415,f371]) ).
fof(f461,plain,
( nil = sK2
| spl27_5 ),
inference(forward_subsumption_resolution,[],[f460,f328]) ).
fof(f462,plain,
( spl27_3
| spl27_5 ),
inference(avatar_split_clause,[],[f461,f370,f361]) ).
fof(f464,plain,
( sK2 = cons(hd(sK2),nil)
| ~ spl27_13
| ~ spl27_16 ),
inference(superposition,[],[f411,f435]) ).
fof(f470,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X0
| cons(hd(X0),X1) = app(cons(hd(X0),nil),X1) ),
inference(resolution,[],[f235,f262]) ).
fof(f471,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X0
| ssList(cons(hd(X0),X1)) ),
inference(resolution,[],[f229,f262]) ).
fof(f476,plain,
! [X0] :
( ~ ssList(X0)
| nil = sK2
| ssList(cons(hd(sK2),X0)) ),
inference(resolution,[],[f471,f328]) ).
fof(f480,definition,
( spl27_18
<=> ! [X0] :
( ~ ssList(X0)
| ssList(cons(hd(sK2),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl27_18])],[avatar_definition]) ).
fof(f481,plain,
( ! [X0] :
( ~ ssList(X0)
| ssList(cons(hd(sK2),X0)) )
| ~ spl27_18 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f482,plain,
( spl27_3
| spl27_18 ),
inference(avatar_split_clause,[],[f476,f480,f361]) ).
fof(f488,plain,
! [X0] :
( segmentP(app(sK2,X0),sK2)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK2)
| ~ ssList(app(sK2,X0)) ),
inference(superposition,[],[f342,f444]) ).
fof(f490,plain,
! [X0] :
( segmentP(app(sK2,X0),sK2)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK2) ),
inference(forward_subsumption_resolution,[],[f488,f240]) ).
fof(f491,plain,
! [X0] :
( segmentP(app(sK2,X0),sK2)
| ~ ssList(X0)
| ~ ssList(sK2) ),
inference(forward_subsumption_resolution,[],[f490,f245]) ).
fof(f492,plain,
! [X0] :
( segmentP(app(sK2,X0),sK2)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f491,f328]) ).
fof(f494,plain,
( segmentP(sK2,sK2)
| ~ ssList(nil) ),
inference(superposition,[],[f492,f456]) ).
fof(f497,plain,
segmentP(sK2,sK2),
inference(forward_subsumption_resolution,[],[f494,f245]) ).
fof(f531,plain,
! [X0] :
( ~ ssList(X0)
| nil = sK2
| cons(hd(sK2),X0) = app(cons(hd(sK2),nil),X0) ),
inference(resolution,[],[f470,f328]) ).
fof(f545,definition,
( spl27_21
<=> ! [X0] :
( ~ ssList(X0)
| cons(hd(sK2),X0) = app(cons(hd(sK2),nil),X0) ) ),
introduced(definition,[new_symbols(definition,[spl27_21])],[avatar_definition]) ).
fof(f546,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(hd(sK2),X0) = app(cons(hd(sK2),nil),X0) )
| ~ spl27_21 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f547,plain,
( spl27_3
| spl27_21 ),
inference(avatar_split_clause,[],[f531,f545,f361]) ).
fof(f568,plain,
( ssList(cons(hd(sK2),nil))
| ~ spl27_18 ),
inference(resolution,[],[f481,f245]) ).
fof(f576,plain,
( $false
| spl27_7
| ~ spl27_18 ),
inference(forward_subsumption_resolution,[],[f568,f377]) ).
fof(f577,plain,
( spl27_7
| ~ spl27_18 ),
inference(avatar_contradiction_clause,[],[f576]) ).
fof(f582,plain,
( nil = sK2
| ~ ssList(sK2)
| spl27_6 ),
inference(resolution,[],[f374,f262]) ).
fof(f583,plain,
( nil = sK2
| spl27_6 ),
inference(forward_subsumption_resolution,[],[f582,f328]) ).
fof(f584,plain,
( spl27_3
| spl27_6 ),
inference(avatar_split_clause,[],[f583,f373,f361]) ).
fof(f585,plain,
( sK3 = app(tl(sK2),sK2)
| ~ spl27_9
| ~ spl27_13
| ~ spl27_16 ),
inference(forward_demodulation,[],[f383,f464]) ).
fof(f586,plain,
( sK3 = app(nil,sK2)
| ~ spl27_9
| ~ spl27_13
| ~ spl27_16 ),
inference(forward_demodulation,[],[f585,f435]) ).
fof(f587,plain,
( sK2 = sK3
| ~ spl27_9
| ~ spl27_13
| ~ spl27_16 ),
inference(forward_demodulation,[],[f586,f444]) ).
fof(f596,plain,
( ~ segmentP(sK2,sK2)
| ~ spl27_9
| ~ spl27_13
| spl27_14
| ~ spl27_16 ),
inference(superposition,[],[f423,f587]) ).
fof(f603,plain,
( $false
| ~ spl27_9
| ~ spl27_13
| spl27_14
| ~ spl27_16 ),
inference(forward_subsumption_resolution,[],[f596,f497]) ).
fof(f604,plain,
( ~ spl27_9
| ~ spl27_13
| spl27_14
| ~ spl27_16 ),
inference(avatar_contradiction_clause,[],[f603]) ).
fof(f609,plain,
( cons(hd(sK2),tl(sK2)) = app(cons(hd(sK2),nil),tl(sK2))
| ~ spl27_8
| ~ spl27_21 ),
inference(resolution,[],[f546,f387]) ).
fof(f612,plain,
( sK2 = app(cons(hd(sK2),nil),tl(sK2))
| ~ spl27_8
| ~ spl27_13
| ~ spl27_21 ),
inference(forward_demodulation,[],[f609,f411]) ).
fof(f667,plain,
( ! [X0] :
( segmentP(app(sK2,X0),tl(sK2))
| ~ ssList(cons(hd(sK2),nil))
| ~ ssList(X0)
| ~ ssList(tl(sK2))
| ~ ssList(app(sK2,X0)) )
| ~ spl27_8
| ~ spl27_13
| ~ spl27_21 ),
inference(superposition,[],[f342,f612]) ).
fof(f669,plain,
( ! [X0] :
( segmentP(app(sK2,X0),tl(sK2))
| ~ ssList(X0)
| ~ ssList(tl(sK2))
| ~ ssList(app(sK2,X0)) )
| ~ spl27_8
| ~ spl27_13
| ~ spl27_18
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f667,f568]) ).
fof(f671,plain,
( ! [X0] :
( ~ ssList(app(sK2,X0))
| ~ ssList(X0)
| segmentP(app(sK2,X0),tl(sK2)) )
| ~ spl27_8
| ~ spl27_13
| ~ spl27_18
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f669,f387]) ).
fof(f900,plain,
( ! [X0] :
( segmentP(app(tl(sK2),X0),tl(sK2))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK2))
| ~ ssList(app(tl(sK2),X0)) )
| ~ spl27_8 ),
inference(superposition,[],[f342,f443]) ).
fof(f902,plain,
( ! [X0] :
( segmentP(app(tl(sK2),X0),tl(sK2))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK2)) )
| ~ spl27_8 ),
inference(forward_subsumption_resolution,[],[f900,f240]) ).
fof(f903,plain,
( ! [X0] :
( segmentP(app(tl(sK2),X0),tl(sK2))
| ~ ssList(X0)
| ~ ssList(tl(sK2)) )
| ~ spl27_8 ),
inference(forward_subsumption_resolution,[],[f902,f245]) ).
fof(f904,plain,
( ! [X0] :
( segmentP(app(tl(sK2),X0),tl(sK2))
| ~ ssList(X0) )
| ~ spl27_8 ),
inference(forward_subsumption_resolution,[],[f903,f387]) ).
fof(f905,plain,
( segmentP(sK3,tl(sK2))
| ~ ssList(cons(hd(sK2),nil))
| ~ spl27_8
| ~ spl27_9 ),
inference(superposition,[],[f904,f383]) ).
fof(f908,plain,
( segmentP(sK3,tl(sK2))
| ~ spl27_8
| ~ spl27_9
| ~ spl27_18 ),
inference(forward_subsumption_resolution,[],[f905,f568]) ).
fof(f915,definition,
( spl27_47
<=> neq(tl(sK2),nil) ),
introduced(definition,[new_symbols(definition,[spl27_47])],[avatar_definition]) ).
fof(f916,plain,
( ~ neq(tl(sK2),nil)
| spl27_47 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f973,plain,
( ~ neq(tl(sK2),nil)
| ~ ssList(tl(sK2))
| ~ segmentP(sK2,tl(sK2))
| ~ spl27_8
| ~ spl27_9
| ~ spl27_18 ),
inference(resolution,[],[f908,f325]) ).
fof(f2148,plain,
( ~ ssList(sK2)
| ~ ssList(nil)
| segmentP(sK2,tl(sK2))
| ~ spl27_8
| ~ spl27_13
| ~ spl27_18
| ~ spl27_21 ),
inference(superposition,[],[f671,f456]) ).
fof(f2150,plain,
( ~ ssList(nil)
| segmentP(sK2,tl(sK2))
| ~ spl27_8
| ~ spl27_13
| ~ spl27_18
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f2148,f328]) ).
fof(f2152,plain,
( segmentP(sK2,tl(sK2))
| ~ spl27_8
| ~ spl27_13
| ~ spl27_18
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f2150,f245]) ).
fof(f2155,plain,
( ~ neq(tl(sK2),nil)
| ~ segmentP(sK2,tl(sK2))
| ~ spl27_8
| ~ spl27_9
| ~ spl27_18 ),
inference(forward_subsumption_resolution,[],[f973,f387]) ).
fof(f2156,plain,
( ~ neq(tl(sK2),nil)
| ~ spl27_8
| ~ spl27_9
| ~ spl27_13
| ~ spl27_18
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f2155,f2152]) ).
fof(f2157,plain,
( ~ spl27_47
| ~ spl27_8
| ~ spl27_9
| ~ spl27_13
| ~ spl27_18
| ~ spl27_21 ),
inference(avatar_split_clause,[],[f2156,f545,f480,f410,f382,f379,f915]) ).
fof(f2175,plain,
( ~ ssList(nil)
| nil = tl(sK2)
| ~ spl27_8
| spl27_47 ),
inference(resolution,[],[f916,f429]) ).
fof(f2176,plain,
( nil = tl(sK2)
| ~ spl27_8
| spl27_47 ),
inference(forward_subsumption_resolution,[],[f2175,f245]) ).
fof(f2177,plain,
( spl27_16
| ~ spl27_8
| spl27_47 ),
inference(avatar_split_clause,[],[f2176,f915,f379,f434]) ).
fof(f2243,plain,
( neq(nil,nil)
| ~ spl27_1
| ~ spl27_3 ),
inference(superposition,[],[f355,f367]) ).
fof(f2289,plain,
( ~ ssList(nil)
| ~ spl27_1
| ~ spl27_3 ),
inference(resolution,[],[f2243,f349]) ).
fof(f2291,plain,
( $false
| ~ spl27_1
| ~ spl27_3 ),
inference(forward_subsumption_resolution,[],[f2289,f245]) ).
fof(f2292,plain,
( ~ spl27_1
| ~ spl27_3 ),
inference(avatar_contradiction_clause,[],[f2291]) ).
cnf(s1,plain,
( spl27_1
| ~ spl27_2 ),
inference(sat_conversion,[],[f359]) ).
cnf(s2,plain,
( ~ spl27_3
| ~ spl27_4 ),
inference(sat_conversion,[],[f366]) ).
cnf(s3,plain,
( spl27_3
| ~ spl27_4 ),
inference(sat_conversion,[],[f368]) ).
cnf(s4,plain,
( ~ spl27_2
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| spl27_9 ),
inference(sat_conversion,[],[f384]) ).
cnf(s5,plain,
( spl27_3
| spl27_8 ),
inference(sat_conversion,[],[f388]) ).
cnf(s8,plain,
( spl27_3
| spl27_13 ),
inference(sat_conversion,[],[f412]) ).
cnf(s9,plain,
( spl27_2
| spl27_4 ),
inference(sat_conversion,[],[f417]) ).
cnf(s10,plain,
( ~ spl27_2
| ~ spl27_14 ),
inference(sat_conversion,[],[f424]) ).
cnf(s13,plain,
( spl27_3
| spl27_5 ),
inference(sat_conversion,[],[f462]) ).
cnf(s14,plain,
( spl27_3
| spl27_18 ),
inference(sat_conversion,[],[f482]) ).
cnf(s17,plain,
( spl27_3
| spl27_21 ),
inference(sat_conversion,[],[f547]) ).
cnf(s20,plain,
( spl27_7
| ~ spl27_18 ),
inference(sat_conversion,[],[f577]) ).
cnf(s22,plain,
( spl27_3
| spl27_6 ),
inference(sat_conversion,[],[f584]) ).
cnf(s23,plain,
( ~ spl27_9
| ~ spl27_13
| spl27_14
| ~ spl27_16 ),
inference(sat_conversion,[],[f604]) ).
cnf(s114,plain,
( ~ spl27_8
| ~ spl27_9
| ~ spl27_13
| ~ spl27_18
| ~ spl27_21
| ~ spl27_47 ),
inference(sat_conversion,[],[f2157]) ).
cnf(s115,plain,
( ~ spl27_8
| spl27_16
| spl27_47 ),
inference(sat_conversion,[],[f2177]) ).
cnf(s126,plain,
( ~ spl27_1
| ~ spl27_3 ),
inference(sat_conversion,[],[f2292]) ).
cnf(s128,plain,
~ spl27_4,
inference(rat,[],[s2,s3]) ).
cnf(s131,plain,
spl27_2,
inference(rat,[],[s9,s128]) ).
cnf(s133,plain,
~ spl27_14,
inference(rat,[],[s10,s131]) ).
cnf(s134,plain,
spl27_1,
inference(rat,[],[s1,s131]) ).
cnf(s135,plain,
~ spl27_3,
inference(rat,[],[s126,s134]) ).
cnf(s136,plain,
spl27_6,
inference(rat,[],[s22,s135]) ).
cnf(s137,plain,
spl27_21,
inference(rat,[],[s17,s135]) ).
cnf(s138,plain,
spl27_18,
inference(rat,[],[s14,s135]) ).
cnf(s139,plain,
spl27_5,
inference(rat,[],[s13,s135]) ).
cnf(s140,plain,
spl27_13,
inference(rat,[],[s8,s135]) ).
cnf(s141,plain,
spl27_8,
inference(rat,[],[s5,s135]) ).
cnf(s144,plain,
spl27_7,
inference(rat,[],[s20,s138]) ).
cnf(s145,plain,
spl27_9,
inference(rat,[],[s4,s131,s141,s144,s136,s139]) ).
cnf(s161,plain,
~ spl27_47,
inference(rat,[],[s114,s141,s137,s138,s140,s145]) ).
cnf(s162,plain,
~ spl27_16,
inference(rat,[],[s23,s133,s140,s145]) ).
cnf(s163,plain,
$false,
inference(rat,[],[s115,s141,s161,s162]) ).
fof(f2293,plain,
$false,
inference(avatar_sat_refutation,[],[s163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC073+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 07:43:33 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 3.47/1.60 % (3836359)Detected formulas, will run a generic FOF schedule.
% 3.47/1.60 % (3836365)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=2287249984:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.47/1.60 % (3836370)dis-21_1_sil=8000:lcm=predicate:random_seed=1898171519: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)
% 3.47/1.60 % (3836366)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=2217892133:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.47/1.60 % (3836368)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=82861580:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.47/1.60 % (3836364)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=4106771129:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.47/1.60 % (3836367)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1541965633:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.47/1.60 % (3836369)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=586857538:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.47/1.60 % (3836367)Instruction limit reached!
% 3.47/1.60 % (3836367)------------------------------
% 3.47/1.60 % (3836367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.60 % (3836367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.60 % (3836367)CaDiCaL version: 2.1.3
% 3.47/1.60 % (3836367)Termination reason: Instruction limit
% 3.47/1.60 % (3836367)Termination phase: Saturation
% 3.47/1.60 % (3836367)Time elapsed: 0.061 s
% 3.47/1.60 % (3836367)Peak memory usage: 89 MB
% 3.47/1.60 % (3836367)Instructions burned: 110 (million)
% 3.47/1.60 % (3836368)Instruction limit reached!
% 3.47/1.60 % (3836368)------------------------------
% 3.47/1.60 % (3836368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.60 % (3836368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.60 % (3836368)CaDiCaL version: 2.1.3
% 3.47/1.60 % (3836368)Termination reason: Instruction limit
% 3.47/1.60 % (3836368)Termination phase: Saturation
% 3.47/1.60 % (3836368)Time elapsed: 0.065 s
% 3.47/1.60 % (3836368)Peak memory usage: 88 MB
% 3.47/1.60 % (3836368)Instructions burned: 119 (million)
% 3.47/1.60 % (3836370)Instruction limit reached!
% 3.47/1.60 % (3836370)------------------------------
% 3.47/1.60 % (3836370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.60 % (3836370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.60 % (3836370)CaDiCaL version: 2.1.3
% 3.47/1.60 % (3836370)Termination reason: Instruction limit
% 3.47/1.60 % (3836370)Termination phase: Saturation
% 3.47/1.60 % (3836370)Time elapsed: 0.076 s
% 3.47/1.60 % (3836370)Peak memory usage: 90 MB
% 3.47/1.60 % (3836370)Instructions burned: 130 (million)
% 3.47/1.60 % (3836369)Instruction limit reached!
% 3.47/1.60 % (3836369)------------------------------
% 3.47/1.60 % (3836369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.60 % (3836369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.60 % (3836369)CaDiCaL version: 2.1.3
% 3.47/1.60 % (3836369)Termination reason: Instruction limit
% 3.47/1.60 % (3836369)Termination phase: Saturation
% 3.47/1.60 % (3836369)Time elapsed: 0.091 s
% 3.47/1.60 % (3836369)Peak memory usage: 90 MB
% 3.47/1.60 % (3836369)Instructions burned: 140 (million)
% 3.47/1.60 % (3836378)lrs+10_1_sil=8000:sp=occurrence:random_seed=4005724641:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.47/1.60 % (3836379)lrs+10_1_sil=32000:urr=on:br=off:random_seed=931489539:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.47/1.60 % (3836380)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4050197853:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.47/1.60 % (3836381)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=2607266140:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 3.47/1.60 % (3836379)Instruction limit reached!
% 3.47/1.60 % (3836379)------------------------------
% 3.47/1.60 % (3836379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.60 % (3836379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.60 % (3836379)CaDiCaL version: 2.1.3
% 3.47/1.60 % (3836379)Termination reason: Instruction limit
% 3.47/1.60 % (3836379)Termination phase: Saturation
% 3.47/1.60 % (3836379)Time elapsed: 0.080 s
% 3.47/1.60 % (3836379)Peak memory usage: 93 MB
% 3.47/1.60 % (3836379)Instructions burned: 158 (million)
% 3.47/1.60 % (3836381)Instruction limit reached!
% 3.47/1.60 % (3836381)------------------------------
% 3.47/1.60 % (3836381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.60 % (3836381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.60 % (3836381)CaDiCaL version: 2.1.3
% 3.47/1.60 % (3836381)Termination reason: Instruction limit
% 3.47/1.60 % (3836381)Termination phase: Saturation
% 3.47/1.60 % (3836381)Time elapsed: 0.117 s
% 3.47/1.60 % (3836381)Peak memory usage: 93 MB
% 3.47/1.60 % (3836381)Instructions burned: 249 (million)
% 3.47/1.60 % (3836378)Instruction limit reached!
% 3.47/1.60 % (3836378)------------------------------
% 3.47/1.60 % (3836378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.60 % (3836378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.60 % (3836378)CaDiCaL version: 2.1.3
% 3.47/1.60 % (3836378)Termination reason: Instruction limit
% 3.47/1.60 % (3836378)Termination phase: Saturation
% 3.47/1.60 % (3836378)Time elapsed: 0.160 s
% 3.47/1.60 % (3836378)Peak memory usage: 92 MB
% 3.47/1.60 % (3836378)Instructions burned: 285 (million)
% 3.47/1.60 % (3836365)First to succeed.
% 3.47/1.60 % (3836365)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3836359"
% 3.47/1.60 % (3836380)Instruction limit reached!
% 3.47/1.60 % (3836380)------------------------------
% 3.47/1.60 % (3836380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.60 % (3836380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.60 % (3836380)CaDiCaL version: 2.1.3
% 3.47/1.60 % (3836380)Termination reason: Instruction limit
% 3.47/1.60 % (3836380)Termination phase: Saturation
% 3.47/1.60 % (3836380)Time elapsed: 0.193 s
% 3.47/1.60 % (3836380)Peak memory usage: 91 MB
% 3.47/1.60 % (3836380)Instructions burned: 325 (million)
% 3.47/1.60 % (3836386)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=675261856:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 3.47/1.60 % (3836387)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=452454058:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 3.47/1.60 % (3836388)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1583697873:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 3.47/1.60 % (3836365)Refutation found. Thanks to Tanya!
% 3.47/1.60 % SZS status Theorem for theBenchmark
% 3.47/1.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.80 % (3836365)------------------------------
% 0.18/1.80 % (3836365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.80 % (3836365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.80 % (3836365)CaDiCaL version: 2.1.3
% 0.18/1.80 % (3836365)Termination reason: Refutation
% 0.18/1.80 % (3836365)Time elapsed: 0.451 s
% 0.18/1.80 % (3836365)Peak memory usage: 132 MB
% 0.18/1.80 % (3836365)Instructions burned: 1191 (million)
% 0.18/1.80 % (3836365)------------------------------
% 0.18/1.80 % (3836365)------------------------------
% 0.18/1.80 % (3836359)Success in time 0.745 s
% 0.18/1.80 % Vampire exiting
%------------------------------------------------------------------------------