%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC015+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 : n013.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 01:02:02 PM UTC 2026
% Result : Theorem 4.38s 1.54s
% Output : Refutation 5.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 27
% Syntax : Number of formulae : 210 ( 26 unt; 14 def)
% Number of atoms : 790 ( 178 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 1021 ( 441 ~; 475 |; 54 &)
% ( 18 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 15 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 147 ( 0 sgn 127 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( frontsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
fof(f79,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X2,X1) = app(X0,X1)
=> X2 = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).
fof(f85,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> hd(app(X0,X1)) = hd(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax85) ).
fof(f86,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax86) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ( ( ~ neq(X1,nil)
| ? [X4] :
( ssList(X4)
& X3 != X4
& ? [X5] :
( ssList(X5)
& tl(X3) = X5
& app(X2,X5) = X4
& neq(nil,X3) ) )
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& cons(X6,nil) = X0
& app(cons(X6,nil),X7) = X1 ) ) )
& ( ~ 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] :
( ssList(X4)
& X3 != X4
& ? [X5] :
( ssList(X5)
& tl(X3) = X5
& app(X2,X5) = X4
& neq(nil,X3) ) )
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& cons(X6,nil) = X0
& app(cons(X6,nil),X7) = X1 ) ) )
& ( ~ 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] :
( ~ ssList(X4)
| X3 = X4
| ! [X5] :
( ~ ssList(X5)
| tl(X3) != X5
| app(X2,X5) != X4
| ~ neq(nil,X3) ) )
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| cons(X6,nil) != X0
| app(cons(X6,nil),X7) != X1 ) ) )
| ( 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] :
( ~ ssList(X4)
| X3 = X4
| ! [X5] :
( ~ ssList(X5)
| tl(X3) != X5
| app(X2,X5) != X4
| ~ neq(nil,X3) ) )
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| cons(X6,nil) != X0
| app(cons(X6,nil),X7) != X1 ) ) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = X0
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = X0
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f106]) ).
fof(f108,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f119]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( hd(app(X0,X1)) = hd(X0)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( hd(app(X0,X1)) = hd(X0)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f121]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ( frontsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f135,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f136,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f135]) ).
fof(f142,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f143,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f142]) ).
fof(f155,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f156,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f155]) ).
fof(f171,plain,
( sK1 = sK3
& sK0 = sK2
& ( ( neq(sK1,nil)
& ! [X4] :
( ~ ssList(X4)
| sK3 = X4
| ! [X5] :
( ~ ssList(X5)
| tl(sK3) != X5
| app(sK2,X5) != X4
| ~ neq(nil,sK3) ) )
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| cons(X6,nil) != sK0
| app(cons(X6,nil),X7) != sK1 ) ) )
| ( neq(sK1,nil)
& ~ neq(sK3,nil) ) )
& 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] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| app(X1,X2) != X0 ) )
& ( ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f132]) ).
fof(f185,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| app(X1,X2) != X0 ) )
& ( ? [X3] :
( ssList(X3)
& app(X1,X3) = X0 )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f184]) ).
fof(f186,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| app(X1,X2) != X0 ) )
& ( ( ssList(sK11(X0,X1))
& app(X1,sK11(X0,X1)) = X0 )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X3,sK11(X0,X1))],[f185]) ).
fof(f187,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f133]) ).
fof(f198,plain,
ssList(sK0),
inference(cnf_transformation,[],[f171]) ).
fof(f199,plain,
ssList(sK1),
inference(cnf_transformation,[],[f171]) ).
fof(f202,plain,
! [X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| cons(X6,nil) != sK0
| app(cons(X6,nil),X7) != sK1
| ~ neq(sK3,nil) ),
inference(cnf_transformation,[],[f171]) ).
fof(f204,plain,
! [X4,X5] :
( ~ ssList(X4)
| sK3 = X4
| ~ ssList(X5)
| tl(sK3) != X5
| app(sK2,X5) != X4
| ~ neq(nil,sK3)
| ~ neq(sK3,nil) ),
inference(cnf_transformation,[],[f171]) ).
fof(f207,plain,
( neq(sK1,nil)
| neq(sK1,nil) ),
inference(cnf_transformation,[],[f171]) ).
fof(f208,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f171]) ).
fof(f209,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f171]) ).
fof(f217,plain,
! [X2,X0,X1] :
( app(X2,X1) != app(X0,X1)
| X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f218,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f226,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f235,plain,
! [X0,X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f236,plain,
! [X0,X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f240,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f248,plain,
! [X0,X1] :
( app(X1,sK11(X0,X1)) = X0
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f249,plain,
! [X0,X1] :
( ssList(sK11(X0,X1))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f250,plain,
! [X2,X0,X1] :
( frontsegP(X0,X1)
| ~ ssList(X2)
| app(X1,X2) != X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f251,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f252,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f255,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f256,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f261,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f280,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f293,plain,
( neq(sK3,nil)
| neq(sK3,nil) ),
inference(definition_unfolding,[],[f207,f209,f209]) ).
fof(f297,plain,
! [X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| cons(X6,nil) != sK2
| app(cons(X6,nil),X7) != sK3
| ~ neq(sK3,nil) ),
inference(definition_unfolding,[],[f202,f208,f209]) ).
fof(f298,plain,
ssList(sK3),
inference(definition_unfolding,[],[f199,f209]) ).
fof(f299,plain,
ssList(sK2),
inference(definition_unfolding,[],[f198,f208]) ).
fof(f302,plain,
! [X4] :
( ~ ssList(X4)
| sK3 = X4
| ~ ssList(tl(sK3))
| app(sK2,tl(sK3)) != X4
| ~ neq(nil,sK3)
| ~ neq(sK3,nil) ),
inference(equality_resolution,[],[f204]) ).
fof(f303,plain,
( ~ ssList(app(sK2,tl(sK3)))
| sK3 = app(sK2,tl(sK3))
| ~ ssList(tl(sK3))
| ~ neq(nil,sK3)
| ~ neq(sK3,nil) ),
inference(equality_resolution,[],[f302]) ).
fof(f309,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X1,X2)) ),
inference(equality_resolution,[],[f250]) ).
fof(f310,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f251]) ).
fof(f321,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f310]) ).
fof(f323,plain,
neq(sK3,nil),
inference(duplicate_literal_removal,[],[f293]) ).
fof(f325,definition,
( spl14_1
<=> neq(sK3,nil) ),
introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).
fof(f326,plain,
( neq(sK3,nil)
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f329,definition,
( spl14_2
<=> ! [X6,X7] :
( ~ ssItem(X6)
| app(cons(X6,nil),X7) != sK3
| cons(X6,nil) != sK2
| ~ ssList(X7) ) ),
introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).
fof(f330,plain,
( ! [X6,X7] :
( app(cons(X6,nil),X7) != sK3
| ~ ssItem(X6)
| cons(X6,nil) != sK2
| ~ ssList(X7) )
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f331,plain,
( ~ spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f297,f329,f325]) ).
fof(f334,definition,
( spl14_3
<=> neq(nil,sK3) ),
introduced(definition,[new_symbols(definition,[spl14_3])],[avatar_definition]) ).
fof(f336,plain,
( ~ neq(nil,sK3)
| spl14_3 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f338,definition,
( spl14_4
<=> ssList(tl(sK3)) ),
introduced(definition,[new_symbols(definition,[spl14_4])],[avatar_definition]) ).
fof(f339,plain,
( ssList(tl(sK3))
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f340,plain,
( ~ ssList(tl(sK3))
| spl14_4 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f342,definition,
( spl14_5
<=> sK3 = app(sK2,tl(sK3)) ),
introduced(definition,[new_symbols(definition,[spl14_5])],[avatar_definition]) ).
fof(f344,plain,
( sK3 = app(sK2,tl(sK3))
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f346,definition,
( spl14_6
<=> ssList(app(sK2,tl(sK3))) ),
introduced(definition,[new_symbols(definition,[spl14_6])],[avatar_definition]) ).
fof(f348,plain,
( ~ ssList(app(sK2,tl(sK3)))
| spl14_6 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f349,plain,
( ~ spl14_1
| ~ spl14_3
| ~ spl14_4
| spl14_5
| ~ spl14_6 ),
inference(avatar_split_clause,[],[f303,f346,f342,f338,f334,f325]) ).
fof(f351,plain,
spl14_1,
inference(avatar_split_clause,[],[f323,f325]) ).
fof(f353,plain,
( nil = sK3
| ~ ssList(sK3)
| ~ ssList(nil)
| spl14_3 ),
inference(resolution,[],[f336,f252]) ).
fof(f354,plain,
( nil = sK3
| ~ ssList(nil)
| spl14_3 ),
inference(forward_subsumption_resolution,[],[f353,f298]) ).
fof(f364,definition,
( spl14_9
<=> nil = sK3 ),
introduced(definition,[new_symbols(definition,[spl14_9])],[avatar_definition]) ).
fof(f365,plain,
( nil != sK3
| spl14_9 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f366,plain,
( nil = sK3
| ~ spl14_9 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f368,plain,
( nil = sK3
| spl14_3 ),
inference(forward_subsumption_resolution,[],[f354,f255]) ).
fof(f369,plain,
( spl14_9
| spl14_3 ),
inference(avatar_split_clause,[],[f368,f334,f364]) ).
fof(f370,plain,
( nil = sK3
| ~ ssList(sK3)
| spl14_4 ),
inference(resolution,[],[f340,f261]) ).
fof(f371,plain,
( ~ ssList(sK3)
| spl14_4
| spl14_9 ),
inference(forward_subsumption_resolution,[],[f370,f365]) ).
fof(f372,plain,
( $false
| spl14_4
| spl14_9 ),
inference(forward_subsumption_resolution,[],[f371,f298]) ).
fof(f373,plain,
( spl14_4
| spl14_9 ),
inference(avatar_contradiction_clause,[],[f372]) ).
fof(f377,plain,
( neq(nil,nil)
| ~ spl14_1
| ~ spl14_9 ),
inference(superposition,[],[f326,f366]) ).
fof(f379,plain,
( ~ ssList(tl(sK3))
| ~ ssList(sK2)
| spl14_6 ),
inference(resolution,[],[f348,f240]) ).
fof(f384,plain,
( ~ ssList(nil)
| ~ spl14_1
| ~ spl14_9 ),
inference(resolution,[],[f377,f321]) ).
fof(f385,plain,
( $false
| ~ spl14_1
| ~ spl14_9 ),
inference(forward_subsumption_resolution,[],[f384,f255]) ).
fof(f386,plain,
( ~ spl14_1
| ~ spl14_9 ),
inference(avatar_contradiction_clause,[],[f385]) ).
fof(f387,plain,
( ~ ssList(sK2)
| ~ spl14_4
| spl14_6 ),
inference(forward_subsumption_resolution,[],[f379,f339]) ).
fof(f388,plain,
( $false
| ~ spl14_4
| spl14_6 ),
inference(forward_subsumption_resolution,[],[f387,f299]) ).
fof(f389,plain,
( ~ spl14_4
| spl14_6 ),
inference(avatar_contradiction_clause,[],[f388]) ).
fof(f399,plain,
( tl(sK3) = app(tl(sK2),tl(sK3))
| nil = sK2
| ~ ssList(tl(sK3))
| ~ ssList(sK2)
| ~ spl14_5 ),
inference(superposition,[],[f235,f344]) ).
fof(f400,plain,
( hd(sK2) = hd(sK3)
| nil = sK2
| ~ ssList(tl(sK3))
| ~ ssList(sK2)
| ~ spl14_5 ),
inference(superposition,[],[f236,f344]) ).
fof(f407,plain,
( frontsegP(sK3,sK2)
| ~ ssList(tl(sK3))
| ~ ssList(sK2)
| ~ ssList(sK3)
| ~ spl14_5 ),
inference(superposition,[],[f309,f344]) ).
fof(f408,plain,
( frontsegP(sK3,sK2)
| ~ ssList(sK2)
| ~ ssList(sK3)
| ~ spl14_4
| ~ spl14_5 ),
inference(forward_subsumption_resolution,[],[f407,f339]) ).
fof(f414,plain,
( hd(sK2) = hd(sK3)
| nil = sK2
| ~ ssList(sK2)
| ~ spl14_4
| ~ spl14_5 ),
inference(forward_subsumption_resolution,[],[f400,f339]) ).
fof(f415,plain,
( tl(sK3) = app(tl(sK2),tl(sK3))
| nil = sK2
| ~ ssList(sK2)
| ~ spl14_4
| ~ spl14_5 ),
inference(forward_subsumption_resolution,[],[f399,f339]) ).
fof(f422,plain,
( frontsegP(sK3,sK2)
| ~ ssList(sK3)
| ~ spl14_4
| ~ spl14_5 ),
inference(forward_subsumption_resolution,[],[f408,f299]) ).
fof(f428,plain,
( hd(sK2) = hd(sK3)
| nil = sK2
| ~ spl14_4
| ~ spl14_5 ),
inference(forward_subsumption_resolution,[],[f414,f299]) ).
fof(f429,plain,
( tl(sK3) = app(tl(sK2),tl(sK3))
| nil = sK2
| ~ spl14_4
| ~ spl14_5 ),
inference(forward_subsumption_resolution,[],[f415,f299]) ).
fof(f436,plain,
( frontsegP(sK3,sK2)
| ~ spl14_4
| ~ spl14_5 ),
inference(forward_subsumption_resolution,[],[f422,f298]) ).
fof(f439,definition,
( spl14_10
<=> nil = sK2 ),
introduced(definition,[new_symbols(definition,[spl14_10])],[avatar_definition]) ).
fof(f440,plain,
( nil != sK2
| spl14_10 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f441,plain,
( nil = sK2
| ~ spl14_10 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f443,definition,
( spl14_11
<=> hd(sK2) = hd(sK3) ),
introduced(definition,[new_symbols(definition,[spl14_11])],[avatar_definition]) ).
fof(f445,plain,
( hd(sK2) = hd(sK3)
| ~ spl14_11 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f446,plain,
( spl14_10
| spl14_11
| ~ spl14_4
| ~ spl14_5 ),
inference(avatar_split_clause,[],[f428,f342,f338,f443,f439]) ).
fof(f448,definition,
( spl14_12
<=> tl(sK3) = app(tl(sK2),tl(sK3)) ),
introduced(definition,[new_symbols(definition,[spl14_12])],[avatar_definition]) ).
fof(f450,plain,
( tl(sK3) = app(tl(sK2),tl(sK3))
| ~ spl14_12 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f451,plain,
( spl14_10
| spl14_12
| ~ spl14_4
| ~ spl14_5 ),
inference(avatar_split_clause,[],[f429,f342,f338,f448,f439]) ).
fof(f462,plain,
( ! [X0,X1] :
( sK3 != X0
| ~ ssItem(X1)
| cons(X1,nil) != sK2
| ~ ssList(sK11(X0,cons(X1,nil)))
| ~ frontsegP(X0,cons(X1,nil))
| ~ ssList(cons(X1,nil))
| ~ ssList(X0) )
| ~ spl14_2 ),
inference(superposition,[],[f330,f248]) ).
fof(f464,plain,
( ! [X0,X1] :
( ~ frontsegP(X0,cons(X1,nil))
| ~ ssItem(X1)
| cons(X1,nil) != sK2
| sK3 != X0
| ~ ssList(cons(X1,nil))
| ~ ssList(X0) )
| ~ spl14_2 ),
inference(forward_subsumption_resolution,[],[f462,f249]) ).
fof(f470,plain,
( sK3 = app(nil,tl(sK3))
| ~ spl14_5
| ~ spl14_10 ),
inference(superposition,[],[f344,f441]) ).
fof(f476,definition,
( spl14_13
<=> sK3 = tl(sK3) ),
introduced(definition,[new_symbols(definition,[spl14_13])],[avatar_definition]) ).
fof(f477,plain,
( sK3 != tl(sK3)
| spl14_13 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f478,plain,
( sK3 = tl(sK3)
| ~ spl14_13 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f512,plain,
( sK3 = tl(sK3)
| ~ ssList(tl(sK3))
| ~ spl14_5
| ~ spl14_10 ),
inference(superposition,[],[f470,f218]) ).
fof(f538,plain,
( ~ ssList(tl(sK3))
| ~ spl14_5
| ~ spl14_10
| spl14_13 ),
inference(forward_subsumption_resolution,[],[f512,f477]) ).
fof(f548,plain,
( $false
| ~ spl14_4
| ~ spl14_5
| ~ spl14_10
| spl14_13 ),
inference(forward_subsumption_resolution,[],[f538,f339]) ).
fof(f549,plain,
( ~ spl14_4
| ~ spl14_5
| ~ spl14_10
| spl14_13 ),
inference(avatar_contradiction_clause,[],[f548]) ).
fof(f573,plain,
( sK3 = cons(hd(sK3),sK3)
| nil = sK3
| ~ ssList(sK3)
| ~ spl14_13 ),
inference(superposition,[],[f256,f478]) ).
fof(f574,plain,
( sK3 = cons(hd(sK3),sK3)
| ~ ssList(sK3)
| spl14_9
| ~ spl14_13 ),
inference(forward_subsumption_resolution,[],[f573,f365]) ).
fof(f581,plain,
( sK3 = cons(hd(sK3),sK3)
| spl14_9
| ~ spl14_13 ),
inference(forward_subsumption_resolution,[],[f574,f298]) ).
fof(f853,plain,
( sK3 != sK3
| ~ ssItem(hd(sK3))
| ~ ssList(sK3)
| spl14_9
| ~ spl14_13 ),
inference(superposition,[],[f226,f581]) ).
fof(f868,plain,
( ~ ssItem(hd(sK3))
| ~ ssList(sK3)
| spl14_9
| ~ spl14_13 ),
inference(trivial_inequality_removal,[],[f853]) ).
fof(f877,plain,
( ~ ssItem(hd(sK3))
| spl14_9
| ~ spl14_13 ),
inference(forward_subsumption_resolution,[],[f868,f298]) ).
fof(f885,definition,
( spl14_15
<=> ssItem(hd(sK3)) ),
introduced(definition,[new_symbols(definition,[spl14_15])],[avatar_definition]) ).
fof(f886,plain,
( ssItem(hd(sK3))
| ~ spl14_15 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f887,plain,
( ~ ssItem(hd(sK3))
| spl14_15 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f914,plain,
( ~ spl14_15
| spl14_9
| ~ spl14_13 ),
inference(avatar_split_clause,[],[f877,f476,f364,f885]) ).
fof(f977,plain,
( nil = sK3
| ~ ssList(sK3)
| spl14_15 ),
inference(resolution,[],[f887,f280]) ).
fof(f978,plain,
( ~ ssList(sK3)
| spl14_9
| spl14_15 ),
inference(forward_subsumption_resolution,[],[f977,f365]) ).
fof(f979,plain,
( $false
| spl14_9
| spl14_15 ),
inference(forward_subsumption_resolution,[],[f978,f298]) ).
fof(f980,plain,
( spl14_9
| spl14_15 ),
inference(avatar_contradiction_clause,[],[f979]) ).
fof(f1008,plain,
( sK2 = cons(hd(sK3),tl(sK2))
| nil = sK2
| ~ ssList(sK2)
| ~ spl14_11 ),
inference(superposition,[],[f256,f445]) ).
fof(f1009,plain,
( sK2 = cons(hd(sK3),tl(sK2))
| ~ ssList(sK2)
| spl14_10
| ~ spl14_11 ),
inference(forward_subsumption_resolution,[],[f1008,f440]) ).
fof(f1010,plain,
( sK2 = cons(hd(sK3),tl(sK2))
| spl14_10
| ~ spl14_11 ),
inference(forward_subsumption_resolution,[],[f1009,f299]) ).
fof(f1021,plain,
( ! [X0] :
( tl(sK3) != app(X0,tl(sK3))
| tl(sK2) = X0
| ~ ssList(X0)
| ~ ssList(tl(sK3))
| ~ ssList(tl(sK2)) )
| ~ spl14_12 ),
inference(superposition,[],[f217,f450]) ).
fof(f1041,plain,
( ! [X0] :
( tl(sK3) != app(X0,tl(sK3))
| tl(sK2) = X0
| ~ ssList(X0)
| ~ ssList(tl(sK2)) )
| ~ spl14_4
| ~ spl14_12 ),
inference(forward_subsumption_resolution,[],[f1021,f339]) ).
fof(f1061,definition,
( spl14_33
<=> ssList(tl(sK2)) ),
introduced(definition,[new_symbols(definition,[spl14_33])],[avatar_definition]) ).
fof(f1062,plain,
( ssList(tl(sK2))
| ~ spl14_33 ),
inference(avatar_component_clause,[],[f1061]) ).
fof(f1063,plain,
( ~ ssList(tl(sK2))
| spl14_33 ),
inference(avatar_component_clause,[],[f1061]) ).
fof(f1076,definition,
( spl14_36
<=> nil = tl(sK2) ),
introduced(definition,[new_symbols(definition,[spl14_36])],[avatar_definition]) ).
fof(f1077,plain,
( nil != tl(sK2)
| spl14_36 ),
inference(avatar_component_clause,[],[f1076]) ).
fof(f1078,plain,
( nil = tl(sK2)
| ~ spl14_36 ),
inference(avatar_component_clause,[],[f1076]) ).
fof(f1109,plain,
( nil = sK2
| ~ ssList(sK2)
| spl14_33 ),
inference(resolution,[],[f1063,f261]) ).
fof(f1110,plain,
( ~ ssList(sK2)
| spl14_10
| spl14_33 ),
inference(forward_subsumption_resolution,[],[f1109,f440]) ).
fof(f1111,plain,
( $false
| spl14_10
| spl14_33 ),
inference(forward_subsumption_resolution,[],[f1110,f299]) ).
fof(f1112,plain,
( spl14_10
| spl14_33 ),
inference(avatar_contradiction_clause,[],[f1111]) ).
fof(f1120,plain,
( ! [X0] :
( tl(sK3) != app(X0,tl(sK3))
| tl(sK2) = X0
| ~ ssList(X0) )
| ~ spl14_4
| ~ spl14_12
| ~ spl14_33 ),
inference(forward_subsumption_resolution,[],[f1041,f1062]) ).
fof(f1422,plain,
( tl(sK3) != tl(sK3)
| nil = tl(sK2)
| ~ ssList(nil)
| ~ ssList(tl(sK3))
| ~ spl14_4
| ~ spl14_12
| ~ spl14_33 ),
inference(superposition,[],[f1120,f218]) ).
fof(f1425,plain,
( nil = tl(sK2)
| ~ ssList(nil)
| ~ ssList(tl(sK3))
| ~ spl14_4
| ~ spl14_12
| ~ spl14_33 ),
inference(trivial_inequality_removal,[],[f1422]) ).
fof(f1648,plain,
( ~ ssList(nil)
| ~ ssList(tl(sK3))
| ~ spl14_4
| ~ spl14_12
| ~ spl14_33
| spl14_36 ),
inference(forward_subsumption_resolution,[],[f1425,f1077]) ).
fof(f1650,plain,
( ~ ssList(tl(sK3))
| ~ spl14_4
| ~ spl14_12
| ~ spl14_33
| spl14_36 ),
inference(forward_subsumption_resolution,[],[f1648,f255]) ).
fof(f1651,plain,
( $false
| ~ spl14_4
| ~ spl14_12
| ~ spl14_33
| spl14_36 ),
inference(forward_subsumption_resolution,[],[f1650,f339]) ).
fof(f1652,plain,
( ~ spl14_4
| ~ spl14_12
| ~ spl14_33
| spl14_36 ),
inference(avatar_contradiction_clause,[],[f1651]) ).
fof(f1660,plain,
( sK2 = cons(hd(sK3),nil)
| spl14_10
| ~ spl14_11
| ~ spl14_36 ),
inference(superposition,[],[f1010,f1078]) ).
fof(f1972,plain,
( ssList(cons(hd(sK3),nil))
| spl14_10
| ~ spl14_11
| ~ spl14_36 ),
inference(superposition,[],[f299,f1660]) ).
fof(f1977,plain,
( frontsegP(sK3,cons(hd(sK3),nil))
| ~ spl14_4
| ~ spl14_5
| spl14_10
| ~ spl14_11
| ~ spl14_36 ),
inference(superposition,[],[f436,f1660]) ).
fof(f2223,plain,
( ~ ssItem(hd(sK3))
| sK2 != cons(hd(sK3),nil)
| sK3 != sK3
| ~ ssList(cons(hd(sK3),nil))
| ~ ssList(sK3)
| ~ spl14_2
| ~ spl14_4
| ~ spl14_5
| spl14_10
| ~ spl14_11
| ~ spl14_36 ),
inference(resolution,[],[f1977,f464]) ).
fof(f2225,plain,
( ~ ssItem(hd(sK3))
| sK2 != cons(hd(sK3),nil)
| ~ ssList(cons(hd(sK3),nil))
| ~ ssList(sK3)
| ~ spl14_2
| ~ spl14_4
| ~ spl14_5
| spl14_10
| ~ spl14_11
| ~ spl14_36 ),
inference(trivial_inequality_removal,[],[f2223]) ).
fof(f2226,plain,
( sK2 != cons(hd(sK3),nil)
| ~ ssList(cons(hd(sK3),nil))
| ~ ssList(sK3)
| ~ spl14_2
| ~ spl14_4
| ~ spl14_5
| spl14_10
| ~ spl14_11
| ~ spl14_15
| ~ spl14_36 ),
inference(forward_subsumption_resolution,[],[f2225,f886]) ).
fof(f2227,plain,
( ~ ssList(cons(hd(sK3),nil))
| ~ ssList(sK3)
| ~ spl14_2
| ~ spl14_4
| ~ spl14_5
| spl14_10
| ~ spl14_11
| ~ spl14_15
| ~ spl14_36 ),
inference(forward_subsumption_resolution,[],[f2226,f1660]) ).
fof(f2228,plain,
( ~ ssList(sK3)
| ~ spl14_2
| ~ spl14_4
| ~ spl14_5
| spl14_10
| ~ spl14_11
| ~ spl14_15
| ~ spl14_36 ),
inference(forward_subsumption_resolution,[],[f2227,f1972]) ).
fof(f2229,plain,
( $false
| ~ spl14_2
| ~ spl14_4
| ~ spl14_5
| spl14_10
| ~ spl14_11
| ~ spl14_15
| ~ spl14_36 ),
inference(forward_subsumption_resolution,[],[f2228,f298]) ).
fof(f2230,plain,
( ~ spl14_2
| ~ spl14_4
| ~ spl14_5
| spl14_10
| ~ spl14_11
| ~ spl14_15
| ~ spl14_36 ),
inference(avatar_contradiction_clause,[],[f2229]) ).
cnf(s1,plain,
( ~ spl14_1
| spl14_2 ),
inference(sat_conversion,[],[f331]) ).
cnf(s3,plain,
( ~ spl14_1
| ~ spl14_3
| ~ spl14_4
| spl14_5
| ~ spl14_6 ),
inference(sat_conversion,[],[f349]) ).
cnf(s5,plain,
spl14_1,
inference(sat_conversion,[],[f351]) ).
cnf(s7,plain,
( spl14_3
| spl14_9 ),
inference(sat_conversion,[],[f369]) ).
cnf(s8,plain,
( spl14_4
| spl14_9 ),
inference(sat_conversion,[],[f373]) ).
cnf(s9,plain,
( ~ spl14_1
| ~ spl14_9 ),
inference(sat_conversion,[],[f386]) ).
cnf(s10,plain,
( ~ spl14_4
| spl14_6 ),
inference(sat_conversion,[],[f389]) ).
cnf(s11,plain,
( ~ spl14_4
| ~ spl14_5
| spl14_10
| spl14_11 ),
inference(sat_conversion,[],[f446]) ).
cnf(s12,plain,
( ~ spl14_4
| ~ spl14_5
| spl14_10
| spl14_12 ),
inference(sat_conversion,[],[f451]) ).
cnf(s15,plain,
( ~ spl14_4
| ~ spl14_5
| ~ spl14_10
| spl14_13 ),
inference(sat_conversion,[],[f549]) ).
cnf(s23,plain,
( spl14_9
| ~ spl14_13
| ~ spl14_15 ),
inference(sat_conversion,[],[f914]) ).
cnf(s32,plain,
( spl14_9
| spl14_15 ),
inference(sat_conversion,[],[f980]) ).
cnf(s46,plain,
( spl14_10
| spl14_33 ),
inference(sat_conversion,[],[f1112]) ).
cnf(s61,plain,
( ~ spl14_4
| ~ spl14_12
| ~ spl14_33
| spl14_36 ),
inference(sat_conversion,[],[f1652]) ).
cnf(s66,plain,
( ~ spl14_2
| ~ spl14_4
| ~ spl14_5
| spl14_10
| ~ spl14_11
| ~ spl14_15
| ~ spl14_36 ),
inference(sat_conversion,[],[f2230]) ).
cnf(s67,plain,
~ spl14_9,
inference(rat,[],[s9,s5]) ).
cnf(s68,plain,
spl14_15,
inference(rat,[],[s32,s67]) ).
cnf(s69,plain,
~ spl14_13,
inference(rat,[],[s23,s68,s67]) ).
cnf(s70,plain,
spl14_4,
inference(rat,[],[s8,s67]) ).
cnf(s71,plain,
spl14_3,
inference(rat,[],[s7,s67]) ).
cnf(s72,plain,
spl14_6,
inference(rat,[],[s10,s70]) ).
cnf(s73,plain,
spl14_5,
inference(rat,[],[s3,s72,s70,s71,s5]) ).
cnf(s74,plain,
~ spl14_10,
inference(rat,[],[s15,s69,s70,s73]) ).
cnf(s76,plain,
spl14_33,
inference(rat,[],[s46,s74]) ).
cnf(s77,plain,
spl14_12,
inference(rat,[],[s12,s73,s70,s74]) ).
cnf(s78,plain,
spl14_11,
inference(rat,[],[s11,s73,s70,s74]) ).
cnf(s79,plain,
spl14_36,
inference(rat,[],[s61,s76,s70,s77]) ).
cnf(s80,plain,
~ spl14_2,
inference(rat,[],[s66,s79,s68,s73,s74,s70,s78]) ).
cnf(s86,plain,
$false,
inference(rat,[],[s1,s80,s5]) ).
fof(f2231,plain,
$false,
inference(avatar_sat_refutation,[],[s86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC015+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 07:25:51 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 4.38/1.54 % (1000468)Detected formulas, will run a generic FOF schedule.
% 4.38/1.54 % (1000476)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3318350049:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.38/1.54 % (1000476)Instruction limit reached!
% 4.38/1.54 % (1000476)------------------------------
% 4.38/1.54 % (1000476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.38/1.54 % (1000476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.54 % (1000476)CaDiCaL version: 2.1.3
% 4.38/1.54 % (1000476)Termination reason: Instruction limit
% 4.38/1.54 % (1000476)Termination phase: Saturation
% 4.38/1.54 % (1000476)Time elapsed: 0.038 s
% 4.38/1.54 % (1000476)Peak memory usage: 90 MB
% 4.38/1.54 % (1000476)Instructions burned: 111 (million)
% 4.38/1.54 % (1000478)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=657407871:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.38/1.54 % (1000479)dis-21_1_sil=8000:lcm=predicate:random_seed=916000870: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)
% 4.38/1.54 % (1000477)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1786486754:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.38/1.54 % (1000473)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=1826776939:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.38/1.54 % (1000474)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=2892038411:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.38/1.54 % (1000475)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=64584990:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.38/1.54 % (1000478)Instruction limit reached!
% 4.38/1.54 % (1000478)------------------------------
% 4.38/1.54 % (1000478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.38/1.54 % (1000478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.54 % (1000478)CaDiCaL version: 2.1.3
% 4.38/1.54 % (1000478)Termination reason: Instruction limit
% 4.38/1.54 % (1000478)Termination phase: Saturation
% 4.38/1.54 % (1000478)Time elapsed: 0.049 s
% 4.38/1.54 % (1000478)Peak memory usage: 90 MB
% 4.38/1.54 % (1000478)Instructions burned: 140 (million)
% 4.38/1.54 % (1000477)Instruction limit reached!
% 4.38/1.54 % (1000477)------------------------------
% 4.38/1.54 % (1000477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.38/1.54 % (1000477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.54 % (1000477)CaDiCaL version: 2.1.3
% 4.38/1.54 % (1000477)Termination reason: Instruction limit
% 4.38/1.54 % (1000477)Termination phase: Saturation
% 4.38/1.54 % (1000477)Time elapsed: 0.066 s
% 4.38/1.54 % (1000477)Peak memory usage: 88 MB
% 4.38/1.54 % (1000477)Instructions burned: 120 (million)
% 4.38/1.54 % (1000479)Instruction limit reached!
% 4.38/1.54 % (1000479)------------------------------
% 4.38/1.54 % (1000479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.38/1.54 % (1000479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.54 % (1000479)CaDiCaL version: 2.1.3
% 4.38/1.54 % (1000479)Termination reason: Instruction limit
% 4.38/1.54 % (1000479)Termination phase: Saturation
% 4.38/1.54 % (1000479)Time elapsed: 0.074 s
% 4.38/1.54 % (1000479)Peak memory usage: 90 MB
% 4.38/1.54 % (1000479)Instructions burned: 130 (million)
% 4.38/1.54 % (1000481)lrs+10_1_sil=8000:sp=occurrence:random_seed=2777825713:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.38/1.54 % (1000488)lrs+10_1_sil=32000:urr=on:br=off:random_seed=303407959:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.38/1.54 % (1000488)Instruction limit reached!
% 4.38/1.54 % (1000488)------------------------------
% 4.38/1.54 % (1000488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.38/1.54 % (1000488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.54 % (1000488)CaDiCaL version: 2.1.3
% 4.38/1.54 % (1000488)Termination reason: Instruction limit
% 4.38/1.54 % (1000488)Termination phase: Saturation
% 4.38/1.54 % (1000488)Time elapsed: 0.041 s
% 4.38/1.54 % (1000488)Peak memory usage: 92 MB
% 4.38/1.54 % (1000488)Instructions burned: 158 (million)
% 4.38/1.54 % (1000489)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2494002168:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.38/1.54 % (1000490)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=3703694137:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.38/1.54 % (1000481)Instruction limit reached!
% 4.38/1.54 % (1000481)------------------------------
% 4.38/1.54 % (1000481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.38/1.54 % (1000481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.54 % (1000481)CaDiCaL version: 2.1.3
% 4.38/1.54 % (1000481)Termination reason: Instruction limit
% 4.38/1.54 % (1000481)Termination phase: Saturation
% 4.38/1.54 % (1000481)Time elapsed: 0.163 s
% 4.38/1.54 % (1000481)Peak memory usage: 93 MB
% 4.38/1.54 % (1000481)Instructions burned: 286 (million)
% 4.38/1.54 % (1000493)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1132059989:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.38/1.54 % (1000493)First to succeed.
% 4.38/1.54 % (1000493)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1000468"
% 4.38/1.54 % (1000490)Instruction limit reached!
% 4.38/1.54 % (1000490)------------------------------
% 4.38/1.54 % (1000490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.38/1.54 % (1000490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.54 % (1000490)CaDiCaL version: 2.1.3
% 4.38/1.54 % (1000490)Termination reason: Instruction limit
% 4.38/1.54 % (1000490)Termination phase: Saturation
% 4.38/1.54 % (1000490)Time elapsed: 0.120 s
% 4.38/1.54 % (1000490)Peak memory usage: 94 MB
% 4.38/1.54 % (1000490)Instructions burned: 249 (million)
% 4.38/1.54 % (1000489)Instruction limit reached!
% 4.38/1.54 % (1000489)------------------------------
% 4.38/1.54 % (1000489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.38/1.54 % (1000489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.54 % (1000489)CaDiCaL version: 2.1.3
% 4.38/1.54 % (1000489)Termination reason: Instruction limit
% 4.38/1.54 % (1000489)Termination phase: Saturation
% 4.38/1.54 % (1000489)Time elapsed: 0.203 s
% 4.38/1.54 % (1000489)Peak memory usage: 92 MB
% 4.38/1.54 % (1000489)Instructions burned: 325 (million)
% 4.38/1.54 % (1000496)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2342752544:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.38/1.54 % (1000493)Refutation found. Thanks to Tanya!
% 4.38/1.54 % SZS status Theorem for theBenchmark
% 4.38/1.54 % SZS output start Proof for theBenchmark
% See solution above
% 5.31/1.63 % (1000493)------------------------------
% 5.31/1.63 % (1000493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.31/1.63 % (1000493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.31/1.63 % (1000493)CaDiCaL version: 2.1.3
% 5.31/1.63 % (1000493)Termination reason: Refutation
% 5.31/1.63 % (1000493)Time elapsed: 0.030 s
% 5.31/1.63 % (1000493)Peak memory usage: 90 MB
% 5.31/1.63 % (1000493)Instructions burned: 91 (million)
% 5.31/1.63 % (1000493)------------------------------
% 5.31/1.63 % (1000493)------------------------------
% 5.31/1.63 % (1000468)Success in time 0.682 s
% 5.31/1.63 % Vampire exiting
%------------------------------------------------------------------------------