%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC410+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 : n017.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 01:03:52 PM UTC 2026
% Result : Theorem 11.61s 2.49s
% Output : Refutation 13.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 27
% Syntax : Number of formulae : 194 ( 31 unt; 16 def)
% Number of atoms : 721 ( 124 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 906 ( 379 ~; 410 |; 66 &)
% ( 22 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 17 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 145 ( 0 sgn 127 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ! [X4] :
( ssItem(X4)
=> ( ~ memberP(X1,X4)
| memberP(X0,X4) ) )
| ( nil != X2
& nil = X3 )
| ( 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] :
( ssItem(X4)
=> ( ~ memberP(X1,X4)
| memberP(X0,X4) ) )
| ( nil != X2
& nil = X3 )
| ( 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] :
( memberP(X1,X4)
& ~ memberP(X0,X4)
& ssItem(X4) )
& ( nil = X2
| nil != X3 )
& ( ~ 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] :
( memberP(X1,X4)
& ~ memberP(X0,X4)
& ssItem(X4) )
& ( nil = X2
| nil != X3 )
& ( ~ 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(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(f133,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f134,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(f135,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(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(f173,plain,
( sK1 = sK3
& sK0 = sK2
& memberP(sK1,sK4)
& ~ memberP(sK0,sK4)
& ssItem(sK4)
& ( nil = sK2
| nil != sK3 )
& ( ~ 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,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f99]) ).
fof(f178,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f185,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,[],[f134]) ).
fof(f186,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,[],[f185]) ).
fof(f187,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,[],[f135]) ).
fof(f188,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,[],[f187]) ).
fof(f205,plain,
ssList(sK0),
inference(cnf_transformation,[],[f173]) ).
fof(f206,plain,
ssList(sK1),
inference(cnf_transformation,[],[f173]) ).
fof(f209,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,[],[f173]) ).
fof(f210,plain,
( ~ neq(sK3,nil)
| neq(sK2,nil) ),
inference(cnf_transformation,[],[f173]) ).
fof(f211,plain,
( nil = sK2
| nil != sK3 ),
inference(cnf_transformation,[],[f173]) ).
fof(f212,plain,
ssItem(sK4),
inference(cnf_transformation,[],[f173]) ).
fof(f213,plain,
~ memberP(sK0,sK4),
inference(cnf_transformation,[],[f173]) ).
fof(f214,plain,
memberP(sK1,sK4),
inference(cnf_transformation,[],[f173]) ).
fof(f215,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f173]) ).
fof(f216,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f173]) ).
fof(f227,plain,
! [X0,X1] :
( ~ ssItem(X1)
| ssList(cons(X1,X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f238,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f117]) ).
fof(f239,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f240,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f243,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f245,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f123]) ).
fof(f260,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f261,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f262,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| memberP(X2,X0)
| X0 = X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f263,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f264,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f265,plain,
! [X2,X0,X1] :
( ~ memberP(app(X1,X2),X0)
| memberP(X2,X0)
| memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f276,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
inference(cnf_transformation,[],[f143]) ).
fof(f323,plain,
memberP(sK3,sK4),
inference(definition_unfolding,[],[f214,f216]) ).
fof(f324,plain,
~ memberP(sK2,sK4),
inference(definition_unfolding,[],[f213,f215]) ).
fof(f325,plain,
ssList(sK3),
inference(definition_unfolding,[],[f206,f216]) ).
fof(f326,plain,
ssList(sK2),
inference(definition_unfolding,[],[f205,f215]) ).
fof(f327,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,[],[f209]) ).
fof(f328,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,[],[f327]) ).
fof(f329,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,[],[f328]) ).
fof(f330,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,[],[f329]) ).
fof(f333,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f239]) ).
fof(f339,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f264]) ).
fof(f346,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f339]) ).
fof(f348,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f333]) ).
fof(f350,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,[],[f330]) ).
fof(f351,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,[],[f350,f238]) ).
fof(f353,definition,
( spl28_1
<=> neq(sK2,nil) ),
introduced(definition,[new_symbols(definition,[spl28_1])],[avatar_definition]) ).
fof(f354,plain,
( neq(sK2,nil)
| ~ spl28_1 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f356,definition,
( spl28_2
<=> neq(sK3,nil) ),
introduced(definition,[new_symbols(definition,[spl28_2])],[avatar_definition]) ).
fof(f357,plain,
( ~ neq(sK3,nil)
| spl28_2 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f358,plain,
( spl28_1
| ~ spl28_2 ),
inference(avatar_split_clause,[],[f210,f356,f353]) ).
fof(f360,definition,
( spl28_3
<=> nil = sK3 ),
introduced(definition,[new_symbols(definition,[spl28_3])],[avatar_definition]) ).
fof(f361,plain,
( nil != sK3
| spl28_3 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f363,definition,
( spl28_4
<=> nil = sK2 ),
introduced(definition,[new_symbols(definition,[spl28_4])],[avatar_definition]) ).
fof(f364,plain,
( nil = sK2
| ~ spl28_4 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f365,plain,
( ~ spl28_3
| spl28_4 ),
inference(avatar_split_clause,[],[f211,f363,f360]) ).
fof(f367,definition,
( spl28_5
<=> neq(nil,sK2) ),
introduced(definition,[new_symbols(definition,[spl28_5])],[avatar_definition]) ).
fof(f368,plain,
( ~ neq(nil,sK2)
| spl28_5 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f370,definition,
( spl28_6
<=> ssItem(hd(sK2)) ),
introduced(definition,[new_symbols(definition,[spl28_6])],[avatar_definition]) ).
fof(f371,plain,
( ~ ssItem(hd(sK2))
| spl28_6 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f373,definition,
( spl28_7
<=> ssList(cons(hd(sK2),nil)) ),
introduced(definition,[new_symbols(definition,[spl28_7])],[avatar_definition]) ).
fof(f374,plain,
( ~ ssList(cons(hd(sK2),nil))
| spl28_7 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f376,definition,
( spl28_8
<=> ssList(tl(sK2)) ),
introduced(definition,[new_symbols(definition,[spl28_8])],[avatar_definition]) ).
fof(f379,definition,
( spl28_9
<=> sK3 = app(tl(sK2),cons(hd(sK2),nil)) ),
introduced(definition,[new_symbols(definition,[spl28_9])],[avatar_definition]) ).
fof(f380,plain,
( sK3 = app(tl(sK2),cons(hd(sK2),nil))
| ~ spl28_9 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f381,plain,
( ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| spl28_9
| ~ spl28_2 ),
inference(avatar_split_clause,[],[f351,f356,f379,f376,f373,f370,f367]) ).
fof(f384,plain,
( nil = sK2
| ssList(tl(sK2)) ),
inference(resolution,[],[f276,f326]) ).
fof(f385,plain,
( ssList(tl(sK2))
| ~ spl28_8 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f386,plain,
( spl28_8
| spl28_4 ),
inference(avatar_split_clause,[],[f384,f363,f376]) ).
fof(f388,plain,
( ~ memberP(nil,sK4)
| ~ spl28_4 ),
inference(superposition,[],[f324,f364]) ).
fof(f393,plain,
( nil = sK2
| sK2 = cons(hd(sK2),tl(sK2)) ),
inference(resolution,[],[f245,f326]) ).
fof(f414,plain,
( nil = sK3
| ~ spl28_3 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f422,plain,
( memberP(nil,sK4)
| ~ spl28_3 ),
inference(superposition,[],[f323,f414]) ).
fof(f423,plain,
( $false
| ~ spl28_3
| ~ spl28_4 ),
inference(forward_subsumption_resolution,[],[f422,f388]) ).
fof(f424,plain,
( ~ spl28_3
| ~ spl28_4 ),
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f428,plain,
( nil = sK3
| ~ ssList(nil)
| ~ ssList(sK3)
| spl28_2 ),
inference(resolution,[],[f240,f357]) ).
fof(f429,plain,
( ~ ssList(nil)
| ~ ssList(sK3)
| spl28_2
| spl28_3 ),
inference(forward_subsumption_resolution,[],[f428,f361]) ).
fof(f430,plain,
( ~ ssList(sK3)
| spl28_2
| spl28_3 ),
inference(forward_subsumption_resolution,[],[f429,f243]) ).
fof(f431,plain,
( $false
| spl28_2
| spl28_3 ),
inference(forward_subsumption_resolution,[],[f430,f325]) ).
fof(f432,plain,
( spl28_2
| spl28_3 ),
inference(avatar_contradiction_clause,[],[f431]) ).
fof(f433,plain,
( neq(nil,nil)
| ~ spl28_1
| ~ spl28_4 ),
inference(forward_demodulation,[],[f354,f364]) ).
fof(f445,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X0
| ssList(cons(hd(X0),X1)) ),
inference(resolution,[],[f227,f260]) ).
fof(f515,plain,
( ~ ssList(nil)
| ~ spl28_1
| ~ spl28_4 ),
inference(resolution,[],[f348,f433]) ).
fof(f519,plain,
( $false
| ~ spl28_1
| ~ spl28_4 ),
inference(forward_subsumption_resolution,[],[f515,f243]) ).
fof(f520,plain,
( ~ spl28_1
| ~ spl28_4 ),
inference(avatar_contradiction_clause,[],[f519]) ).
fof(f522,definition,
( spl28_19
<=> sK2 = cons(hd(sK2),tl(sK2)) ),
introduced(definition,[new_symbols(definition,[spl28_19])],[avatar_definition]) ).
fof(f523,plain,
( sK2 = cons(hd(sK2),tl(sK2))
| ~ spl28_19 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f524,plain,
( spl28_19
| spl28_4 ),
inference(avatar_split_clause,[],[f393,f363,f522]) ).
fof(f531,plain,
( nil = sK2
| ~ ssList(sK2)
| spl28_6 ),
inference(resolution,[],[f371,f260]) ).
fof(f532,plain,
( nil = sK2
| spl28_6 ),
inference(forward_subsumption_resolution,[],[f531,f326]) ).
fof(f533,plain,
( spl28_4
| spl28_6 ),
inference(avatar_split_clause,[],[f532,f370,f363]) ).
fof(f560,plain,
( memberP(sK2,hd(sK2))
| ~ ssList(tl(sK2))
| ~ ssItem(hd(sK2))
| ~ spl28_19 ),
inference(superposition,[],[f346,f523]) ).
fof(f561,plain,
( ! [X0] :
( memberP(sK2,X0)
| ~ memberP(tl(sK2),X0)
| ~ ssList(tl(sK2))
| ~ ssItem(hd(sK2))
| ~ ssItem(X0) )
| ~ spl28_19 ),
inference(superposition,[],[f263,f523]) ).
fof(f564,plain,
( ! [X0] :
( memberP(sK2,X0)
| ~ memberP(tl(sK2),X0)
| ~ ssItem(hd(sK2))
| ~ ssItem(X0) )
| ~ spl28_8
| ~ spl28_19 ),
inference(forward_subsumption_resolution,[],[f561,f385]) ).
fof(f565,plain,
( memberP(sK2,hd(sK2))
| ~ ssItem(hd(sK2))
| ~ spl28_8
| ~ spl28_19 ),
inference(forward_subsumption_resolution,[],[f560,f385]) ).
fof(f571,definition,
( spl28_25
<=> memberP(sK2,hd(sK2)) ),
introduced(definition,[new_symbols(definition,[spl28_25])],[avatar_definition]) ).
fof(f572,plain,
( memberP(sK2,hd(sK2))
| ~ spl28_25 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f573,plain,
( ~ spl28_6
| spl28_25
| ~ spl28_8
| ~ spl28_19 ),
inference(avatar_split_clause,[],[f565,f522,f376,f571,f370]) ).
fof(f574,plain,
( nil != sK2
| spl28_4 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f590,definition,
( spl28_29
<=> ! [X0] :
( memberP(sK2,X0)
| ~ ssItem(X0)
| ~ memberP(tl(sK2),X0) ) ),
introduced(definition,[new_symbols(definition,[spl28_29])],[avatar_definition]) ).
fof(f591,plain,
( ! [X0] :
( ~ memberP(tl(sK2),X0)
| ~ ssItem(X0)
| memberP(sK2,X0) )
| ~ spl28_29 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f592,plain,
( ~ spl28_6
| spl28_29
| ~ spl28_8
| ~ spl28_19 ),
inference(avatar_split_clause,[],[f564,f522,f376,f590,f370]) ).
fof(f716,plain,
( $false
| spl28_4
| spl28_7 ),
inference(unit_resulting_resolution,[],[f445,f243,f326,f374,f574]) ).
fof(f717,plain,
( spl28_4
| spl28_7 ),
inference(avatar_contradiction_clause,[],[f716]) ).
fof(f722,plain,
( ! [X0] :
( ~ memberP(sK3,X0)
| memberP(cons(hd(sK2),nil),X0)
| memberP(tl(sK2),X0)
| ~ ssList(cons(hd(sK2),nil))
| ~ ssList(tl(sK2))
| ~ ssItem(X0) )
| ~ spl28_9 ),
inference(superposition,[],[f265,f380]) ).
fof(f723,plain,
( ! [X0] :
( ~ memberP(sK3,X0)
| memberP(cons(hd(sK2),nil),X0)
| memberP(tl(sK2),X0)
| ~ ssList(cons(hd(sK2),nil))
| ~ ssItem(X0) )
| ~ spl28_8
| ~ spl28_9 ),
inference(forward_subsumption_resolution,[],[f722,f385]) ).
fof(f730,definition,
( spl28_37
<=> ! [X0] :
( ~ memberP(sK3,X0)
| ~ ssItem(X0)
| memberP(tl(sK2),X0)
| memberP(cons(hd(sK2),nil),X0) ) ),
introduced(definition,[new_symbols(definition,[spl28_37])],[avatar_definition]) ).
fof(f731,plain,
( ! [X0] :
( memberP(cons(hd(sK2),nil),X0)
| ~ ssItem(X0)
| memberP(tl(sK2),X0)
| ~ memberP(sK3,X0) )
| ~ spl28_37 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f732,plain,
( ~ spl28_7
| spl28_37
| ~ spl28_8
| ~ spl28_9 ),
inference(avatar_split_clause,[],[f723,f379,f376,f730,f373]) ).
fof(f741,plain,
( nil = sK2
| ~ ssList(sK2)
| ~ ssList(nil)
| spl28_5 ),
inference(resolution,[],[f368,f240]) ).
fof(f743,plain,
( ~ ssList(sK2)
| ~ ssList(nil)
| spl28_4
| spl28_5 ),
inference(forward_subsumption_resolution,[],[f741,f574]) ).
fof(f745,plain,
( ~ ssList(nil)
| spl28_4
| spl28_5 ),
inference(forward_subsumption_resolution,[],[f743,f326]) ).
fof(f753,plain,
( $false
| spl28_4
| spl28_5 ),
inference(forward_subsumption_resolution,[],[f745,f243]) ).
fof(f754,plain,
( spl28_4
| spl28_5 ),
inference(avatar_contradiction_clause,[],[f753]) ).
fof(f756,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(tl(sK2),X0)
| ~ memberP(sK3,X0)
| memberP(nil,X0)
| hd(sK2) = X0
| ~ ssList(nil)
| ~ ssItem(hd(sK2))
| ~ ssItem(X0) )
| ~ spl28_37 ),
inference(resolution,[],[f731,f262]) ).
fof(f757,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(tl(sK2),X0)
| ~ memberP(sK3,X0)
| memberP(nil,X0)
| hd(sK2) = X0
| ~ ssList(nil)
| ~ ssItem(hd(sK2)) )
| ~ spl28_37 ),
inference(duplicate_literal_removal,[],[f756]) ).
fof(f758,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(tl(sK2),X0)
| ~ memberP(sK3,X0)
| memberP(nil,X0)
| hd(sK2) = X0
| ~ ssItem(hd(sK2)) )
| ~ spl28_37 ),
inference(forward_subsumption_resolution,[],[f757,f243]) ).
fof(f759,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(tl(sK2),X0)
| ~ memberP(sK3,X0)
| hd(sK2) = X0
| ~ ssItem(hd(sK2)) )
| ~ spl28_37 ),
inference(forward_subsumption_resolution,[],[f758,f261]) ).
fof(f761,definition,
( spl28_41
<=> ! [X0] :
( ~ ssItem(X0)
| hd(sK2) = X0
| ~ memberP(sK3,X0)
| memberP(tl(sK2),X0) ) ),
introduced(definition,[new_symbols(definition,[spl28_41])],[avatar_definition]) ).
fof(f762,plain,
( ! [X0] :
( ~ memberP(sK3,X0)
| hd(sK2) = X0
| ~ ssItem(X0)
| memberP(tl(sK2),X0) )
| ~ spl28_41 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f763,plain,
( ~ spl28_6
| spl28_41
| ~ spl28_37 ),
inference(avatar_split_clause,[],[f759,f730,f761,f370]) ).
fof(f764,plain,
( sK4 = hd(sK2)
| ~ ssItem(sK4)
| memberP(tl(sK2),sK4)
| ~ spl28_41 ),
inference(resolution,[],[f762,f323]) ).
fof(f765,plain,
( sK4 = hd(sK2)
| memberP(tl(sK2),sK4)
| ~ spl28_41 ),
inference(forward_subsumption_resolution,[],[f764,f212]) ).
fof(f767,definition,
( spl28_42
<=> memberP(tl(sK2),sK4) ),
introduced(definition,[new_symbols(definition,[spl28_42])],[avatar_definition]) ).
fof(f768,plain,
( memberP(tl(sK2),sK4)
| ~ spl28_42 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f770,definition,
( spl28_43
<=> sK4 = hd(sK2) ),
introduced(definition,[new_symbols(definition,[spl28_43])],[avatar_definition]) ).
fof(f771,plain,
( sK4 = hd(sK2)
| ~ spl28_43 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f772,plain,
( spl28_42
| spl28_43
| ~ spl28_41 ),
inference(avatar_split_clause,[],[f765,f761,f770,f767]) ).
fof(f775,plain,
( ~ ssItem(sK4)
| memberP(sK2,sK4)
| ~ spl28_29
| ~ spl28_42 ),
inference(resolution,[],[f768,f591]) ).
fof(f777,plain,
( memberP(sK2,sK4)
| ~ spl28_29
| ~ spl28_42 ),
inference(forward_subsumption_resolution,[],[f775,f212]) ).
fof(f779,plain,
( $false
| ~ spl28_29
| ~ spl28_42 ),
inference(forward_subsumption_resolution,[],[f777,f324]) ).
fof(f780,plain,
( ~ spl28_29
| ~ spl28_42 ),
inference(avatar_contradiction_clause,[],[f779]) ).
fof(f782,plain,
( memberP(sK2,sK4)
| ~ spl28_25
| ~ spl28_43 ),
inference(superposition,[],[f572,f771]) ).
fof(f785,plain,
( $false
| ~ spl28_25
| ~ spl28_43 ),
inference(forward_subsumption_resolution,[],[f782,f324]) ).
fof(f786,plain,
( ~ spl28_25
| ~ spl28_43 ),
inference(avatar_contradiction_clause,[],[f785]) ).
cnf(s1,plain,
( spl28_1
| ~ spl28_2 ),
inference(sat_conversion,[],[f358]) ).
cnf(s2,plain,
( ~ spl28_3
| spl28_4 ),
inference(sat_conversion,[],[f365]) ).
cnf(s3,plain,
( ~ spl28_2
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| spl28_9 ),
inference(sat_conversion,[],[f381]) ).
cnf(s4,plain,
( spl28_4
| spl28_8 ),
inference(sat_conversion,[],[f386]) ).
cnf(s9,plain,
( ~ spl28_3
| ~ spl28_4 ),
inference(sat_conversion,[],[f424]) ).
cnf(s11,plain,
( spl28_2
| spl28_3 ),
inference(sat_conversion,[],[f432]) ).
cnf(s17,plain,
( ~ spl28_1
| ~ spl28_4 ),
inference(sat_conversion,[],[f520]) ).
cnf(s18,plain,
( spl28_4
| spl28_19 ),
inference(sat_conversion,[],[f524]) ).
cnf(s20,plain,
( spl28_4
| spl28_6 ),
inference(sat_conversion,[],[f533]) ).
cnf(s24,plain,
( ~ spl28_6
| ~ spl28_8
| ~ spl28_19
| spl28_25 ),
inference(sat_conversion,[],[f573]) ).
cnf(s29,plain,
( ~ spl28_6
| ~ spl28_8
| ~ spl28_19
| spl28_29 ),
inference(sat_conversion,[],[f592]) ).
cnf(s37,plain,
( spl28_4
| spl28_7 ),
inference(sat_conversion,[],[f717]) ).
cnf(s39,plain,
( ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| spl28_37 ),
inference(sat_conversion,[],[f732]) ).
cnf(s43,plain,
( spl28_4
| spl28_5 ),
inference(sat_conversion,[],[f754]) ).
cnf(s45,plain,
( ~ spl28_6
| ~ spl28_37
| spl28_41 ),
inference(sat_conversion,[],[f763]) ).
cnf(s46,plain,
( ~ spl28_41
| spl28_42
| spl28_43 ),
inference(sat_conversion,[],[f772]) ).
cnf(s48,plain,
( ~ spl28_29
| ~ spl28_42 ),
inference(sat_conversion,[],[f780]) ).
cnf(s49,plain,
( ~ spl28_25
| ~ spl28_43 ),
inference(sat_conversion,[],[f786]) ).
cnf(s53,plain,
~ spl28_3,
inference(rat,[],[s2,s9]) ).
cnf(s54,plain,
spl28_2,
inference(rat,[],[s11,s53]) ).
cnf(s57,plain,
spl28_1,
inference(rat,[],[s1,s54]) ).
cnf(s58,plain,
~ spl28_4,
inference(rat,[],[s17,s57]) ).
cnf(s59,plain,
spl28_5,
inference(rat,[],[s43,s58]) ).
cnf(s60,plain,
spl28_7,
inference(rat,[],[s37,s58]) ).
cnf(s61,plain,
spl28_6,
inference(rat,[],[s20,s58]) ).
cnf(s63,plain,
spl28_19,
inference(rat,[],[s18,s58]) ).
cnf(s64,plain,
spl28_8,
inference(rat,[],[s4,s58]) ).
cnf(s65,plain,
spl28_9,
inference(rat,[],[s3,s54,s64,s60,s61,s59]) ).
cnf(s67,plain,
spl28_29,
inference(rat,[],[s29,s61,s63,s64]) ).
cnf(s70,plain,
spl28_25,
inference(rat,[],[s24,s61,s63,s64]) ).
cnf(s71,plain,
spl28_37,
inference(rat,[],[s39,s64,s60,s65]) ).
cnf(s74,plain,
~ spl28_42,
inference(rat,[],[s48,s67]) ).
cnf(s75,plain,
~ spl28_43,
inference(rat,[],[s49,s70]) ).
cnf(s77,plain,
spl28_41,
inference(rat,[],[s45,s61,s71]) ).
cnf(s78,plain,
$false,
inference(rat,[],[s46,s75,s74,s77]) ).
fof(f787,plain,
$false,
inference(avatar_sat_refutation,[],[s78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC410+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n017.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 09:27:06 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 11.61/2.49 % (3426399)Detected formulas, will run a generic FOF schedule.
% 11.61/2.49 % (3426529)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=393829932:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.61/2.49 % (3426528)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1244572107:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.61/2.49 % (3426524)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=1714233661:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.61/2.49 % (3426526)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=1492019674:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.61/2.49 % (3426525)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=2477599101:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.61/2.49 % (3426529)Instruction limit reached!
% 11.61/2.49 % (3426529)------------------------------
% 11.61/2.49 % (3426529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.49 % (3426529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.49 % (3426529)CaDiCaL version: 2.1.3
% 11.61/2.49 % (3426529)Termination reason: Instruction limit
% 11.61/2.49 % (3426529)Termination phase: Saturation
% 11.61/2.49 % (3426529)Time elapsed: 0.079 s
% 11.61/2.49 % (3426529)Peak memory usage: 88 MB
% 11.61/2.49 % (3426529)Instructions burned: 119 (million)
% 11.61/2.49 % (3426530)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2631145722:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.61/2.49 % (3426531)dis-21_1_sil=8000:lcm=predicate:random_seed=2182525071: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)
% 11.61/2.49 % (3426528)Instruction limit reached!
% 11.61/2.49 % (3426528)------------------------------
% 11.61/2.49 % (3426528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.49 % (3426528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.49 % (3426528)CaDiCaL version: 2.1.3
% 11.61/2.49 % (3426528)Termination reason: Instruction limit
% 11.61/2.49 % (3426528)Termination phase: Saturation
% 11.61/2.49 % (3426528)Time elapsed: 0.101 s
% 11.61/2.49 % (3426528)Peak memory usage: 89 MB
% 11.61/2.49 % (3426528)Instructions burned: 110 (million)
% 11.61/2.49 % (3426531)Instruction limit reached!
% 11.61/2.49 % (3426531)------------------------------
% 11.61/2.49 % (3426531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.49 % (3426531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.49 % (3426531)CaDiCaL version: 2.1.3
% 11.61/2.49 % (3426531)Termination reason: Instruction limit
% 11.61/2.49 % (3426531)Termination phase: Saturation
% 11.61/2.49 % (3426531)Time elapsed: 0.128 s
% 11.61/2.49 % (3426531)Peak memory usage: 90 MB
% 11.61/2.49 % (3426531)Instructions burned: 129 (million)
% 11.61/2.49 % (3426530)Instruction limit reached!
% 11.61/2.49 % (3426530)------------------------------
% 11.61/2.49 % (3426530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.49 % (3426530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.49 % (3426530)CaDiCaL version: 2.1.3
% 11.61/2.49 % (3426530)Termination reason: Instruction limit
% 11.61/2.49 % (3426530)Termination phase: Saturation
% 11.61/2.49 % (3426530)Time elapsed: 0.142 s
% 11.61/2.49 % (3426530)Peak memory usage: 90 MB
% 11.61/2.49 % (3426530)Instructions burned: 139 (million)
% 11.61/2.49 % (3426544)lrs+10_1_sil=8000:sp=occurrence:random_seed=1785410699:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.61/2.49 % (3426544)Instruction limit reached!
% 11.61/2.49 % (3426544)------------------------------
% 11.61/2.49 % (3426544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.49 % (3426544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.49 % (3426544)CaDiCaL version: 2.1.3
% 11.61/2.49 % (3426544)Termination reason: Instruction limit
% 11.61/2.49 % (3426544)Termination phase: Saturation
% 11.61/2.49 % (3426544)Time elapsed: 0.096 s
% 11.61/2.49 % (3426544)Peak memory usage: 92 MB
% 11.61/2.49 % (3426544)Instructions burned: 288 (million)
% 11.61/2.49 % (3426551)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2198436246:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 11.61/2.49 % (3426552)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3481300432:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 11.61/2.49 % (3426554)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=645935180:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 11.61/2.49 % (3426555)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1897807509:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 11.61/2.49 % (3426555)Refutation not found, incomplete strategy
% 11.61/2.49 % (3426555)------------------------------
% 11.61/2.49 % (3426555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.49 % (3426555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.49 % (3426555)CaDiCaL version: 2.1.3
% 11.61/2.49 % (3426555)Termination reason: Refutation not found, incomplete strategy
% 11.61/2.49 % (3426555)Time elapsed: 0.007 s
% 11.61/2.49 % (3426555)Peak memory usage: 89 MB
% 11.61/2.49 % (3426555)Instructions burned: 11 (million)
% 11.61/2.49 % (3426551)Instruction limit reached!
% 11.61/2.49 % (3426551)------------------------------
% 11.61/2.49 % (3426551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.49 % (3426551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.49 % (3426551)CaDiCaL version: 2.1.3
% 11.61/2.49 % (3426551)Termination reason: Instruction limit
% 11.61/2.49 % (3426551)Termination phase: Saturation
% 11.61/2.49 % (3426551)Time elapsed: 0.142 s
% 11.61/2.49 % (3426551)Peak memory usage: 94 MB
% 11.61/2.49 % (3426551)Instructions burned: 158 (million)
% 11.61/2.49 % (3426554)Instruction limit reached!
% 11.61/2.49 % (3426554)------------------------------
% 11.61/2.49 % (3426554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.49 % (3426554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.49 % (3426554)CaDiCaL version: 2.1.3
% 11.61/2.49 % (3426554)Termination reason: Instruction limit
% 11.61/2.49 % (3426554)Termination phase: Saturation
% 11.61/2.49 % (3426554)Time elapsed: 0.211 s
% 11.61/2.49 % (3426554)Peak memory usage: 94 MB
% 11.61/2.49 % (3426554)Instructions burned: 248 (million)
% 11.61/2.49 % (3426555)------------------------------
% 11.61/2.49 % (3426555)------------------------------
% 11.61/2.49 % (3426552)Instruction limit reached!
% 11.61/2.49 % (3426552)------------------------------
% 11.61/2.49 % (3426552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.49 % (3426552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.49 % (3426552)CaDiCaL version: 2.1.3
% 11.61/2.49 % (3426552)Termination reason: Instruction limit
% 11.61/2.49 % (3426552)Termination phase: Saturation
% 11.61/2.49 % (3426552)Time elapsed: 0.317 s
% 11.61/2.49 % (3426552)Peak memory usage: 91 MB
% 11.61/2.49 % (3426552)Instructions burned: 325 (million)
% 11.61/2.49 % (3426565)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3835081997:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 11.61/2.49 % (3426567)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=420905291:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 11.61/2.49 % (3426569)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2255837323:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 11.61/2.49 % (3426568)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1078429615:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 11.61/2.49 % (3426569)Instruction limit reached!
% 11.61/2.49 % (3426569)------------------------------
% 11.61/2.49 % (3426569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.49 % (3426569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.49 % (3426569)CaDiCaL version: 2.1.3
% 11.61/2.49 % (3426569)Termination reason: Instruction limit
% 11.61/2.49 % (3426569)Termination phase: Saturation
% 11.61/2.49 % (3426569)Time elapsed: 0.056 s
% 11.61/2.49 % (3426569)Peak memory usage: 89 MB
% 11.61/2.49 % (3426569)Instructions burned: 114 (million)
% 11.61/2.49 % (3426567)Instruction limit reached!
% 11.61/2.49 % (3426567)------------------------------
% 11.61/2.49 % (3426567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.49 % (3426567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.49 % (3426567)CaDiCaL version: 2.1.3
% 11.61/2.49 % (3426567)Termination reason: Instruction limit
% 11.61/2.49 % (3426567)Termination phase: Saturation
% 11.61/2.49 % (3426567)Time elapsed: 0.126 s
% 11.61/2.49 % (3426567)Peak memory usage: 90 MB
% 11.61/2.49 % (3426567)Instructions burned: 113 (million)
% 11.61/2.49 % (3426525)First to succeed.
% 11.61/2.49 % (3426525)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3426399"
% 11.61/2.49 % (3426568)Instruction limit reached!
% 11.61/2.49 % (3426568)------------------------------
% 11.61/2.49 % (3426568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.49 % (3426568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.49 % (3426568)CaDiCaL version: 2.1.3
% 11.61/2.49 % (3426568)Termination reason: Instruction limit
% 11.61/2.49 % (3426568)Termination phase: Saturation
% 11.61/2.49 % (3426568)Time elapsed: 0.111 s
% 11.61/2.49 % (3426568)Peak memory usage: 90 MB
% 11.61/2.49 % (3426568)Instructions burned: 127 (million)
% 11.61/2.49 % (3426524)Also succeeded, but the first one will report.
% 11.61/2.49 % (3426576)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1312857439:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 11.61/2.49 % (3426574)lrs+10_1_sil=8000:sp=occurrence:random_seed=1095617610:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 11.61/2.49 % (3426578)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3009317928:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 11.61/2.49 % (3426576)Instruction limit reached!
% 11.61/2.49 % (3426576)------------------------------
% 11.61/2.49 % (3426576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.49 % (3426576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.49 % (3426576)CaDiCaL version: 2.1.3
% 11.61/2.49 % (3426576)Termination reason: Instruction limit
% 11.61/2.49 % (3426576)Termination phase: Saturation
% 11.61/2.49 % (3426576)Time elapsed: 0.227 s
% 11.61/2.49 % (3426576)Peak memory usage: 93 MB
% 11.61/2.49 % (3426576)Instructions burned: 438 (million)
% 11.61/2.49 % (3426525)Refutation found. Thanks to Tanya!
% 11.61/2.49 % SZS status Theorem for theBenchmark
% 11.61/2.49 % SZS output start Proof for theBenchmark
% See solution above
% 13.11/2.68 % (3426525)------------------------------
% 13.11/2.68 % (3426525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.11/2.68 % (3426525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.11/2.68 % (3426525)CaDiCaL version: 2.1.3
% 13.11/2.68 % (3426525)Termination reason: Refutation
% 13.11/2.68 % (3426525)Time elapsed: 1.079 s
% 13.11/2.68 % (3426525)Peak memory usage: 130 MB
% 13.11/2.68 % (3426525)Instructions burned: 1010 (million)
% 13.11/2.68 % (3426525)------------------------------
% 13.11/2.68 % (3426525)------------------------------
% 13.11/2.68 % (3426399)Success in time 1.774 s
% 13.11/2.68 % Vampire exiting
%------------------------------------------------------------------------------