%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC395+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 : n005.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 01:03:47 PM UTC 2026
% Result : Theorem 4.86s 1.42s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 29
% Syntax : Number of formulae : 188 ( 34 unt; 17 def)
% Number of atoms : 745 ( 104 equ)
% Maximal formula atoms : 23 ( 3 avg)
% Number of connectives : 970 ( 413 ~; 454 |; 53 &)
% ( 23 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 18 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 148 ( 0 sgn 135 !; 13 ?)
% 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(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(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ! [X4] :
( ~ ssItem(X4)
| ~ memberP(X0,X4)
| memberP(X1,X4) )
| ( nil != X2
& nil = X3 )
| ( ? [X5] :
( ssList(X5)
& X2 != X5
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& tl(X3) = X6
& app(X6,X7) = X5
& ? [X8] :
( ssItem(X8)
& cons(X8,nil) = X7
& hd(X3) = X8
& neq(nil,X3) )
& neq(nil,X3) ) ) )
& neq(X3,nil) ) ) ) ) ),
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(X0,X4)
| memberP(X1,X4) )
| ( nil != X2
& nil = X3 )
| ( ? [X5] :
( ssList(X5)
& X2 != X5
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& tl(X3) = X6
& app(X6,X7) = X5
& ? [X8] :
( ssItem(X8)
& cons(X8,nil) = X7
& hd(X3) = X8
& neq(nil,X3) )
& neq(nil,X3) ) ) )
& neq(X3,nil) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ? [X4] :
( ssItem(X4)
& memberP(X0,X4)
& ~ memberP(X1,X4) )
& ( nil = X2
| nil != X3 )
& ( ! [X5] :
( ~ ssList(X5)
| X2 = X5
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| tl(X3) != X6
| app(X6,X7) != X5
| ! [X8] :
( ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(X3) != X8
| ~ neq(nil,X3) )
| ~ neq(nil,X3) ) ) )
| ~ neq(X3,nil) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f124,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f125,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f124]) ).
fof(f126,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f127,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(f128,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(f132,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f133,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f132]) ).
fof(f139,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f140,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f139]) ).
fof(f141,plain,
( ssList(sK3)
& sK1 = sK3
& sK0 = sK2
& ssItem(sK4)
& memberP(sK0,sK4)
& ~ memberP(sK1,sK4)
& ( nil = sK2
| nil != sK3 )
& ( ! [X5] :
( ~ ssList(X5)
| sK2 = X5
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| tl(sK3) != X6
| app(X6,X7) != X5
| ! [X8] :
( ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(sK3) != X8
| ~ neq(nil,sK3) )
| ~ neq(nil,sK3) ) ) )
| ~ neq(sK3,nil) )
& 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)],[f98]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f117]) ).
fof(f149,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,[],[f127]) ).
fof(f150,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,[],[f149]) ).
fof(f151,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,[],[f128]) ).
fof(f152,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,[],[f151]) ).
fof(f158,plain,
ssList(sK1),
inference(cnf_transformation,[],[f141]) ).
fof(f160,plain,
! [X8,X6,X7,X5] :
( ~ ssList(X5)
| sK2 = X5
| ~ ssList(X6)
| ~ ssList(X7)
| tl(sK3) != X6
| app(X6,X7) != X5
| ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(sK3) != X8
| ~ neq(nil,sK3)
| ~ neq(nil,sK3)
| ~ neq(sK3,nil) ),
inference(cnf_transformation,[],[f141]) ).
fof(f161,plain,
( nil = sK2
| nil != sK3 ),
inference(cnf_transformation,[],[f141]) ).
fof(f162,plain,
~ memberP(sK1,sK4),
inference(cnf_transformation,[],[f141]) ).
fof(f163,plain,
memberP(sK0,sK4),
inference(cnf_transformation,[],[f141]) ).
fof(f164,plain,
ssItem(sK4),
inference(cnf_transformation,[],[f141]) ).
fof(f165,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f141]) ).
fof(f166,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f141]) ).
fof(f178,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f184,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f189,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f191,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f194,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f199,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f200,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f202,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f204,plain,
! [X2,X0,X1] :
( memberP(X1,X0)
| memberP(X2,X0)
| ~ memberP(app(X1,X2),X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f206,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f212,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f217,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f218,plain,
memberP(sK2,sK4),
inference(definition_unfolding,[],[f163,f165]) ).
fof(f219,plain,
~ memberP(sK3,sK4),
inference(definition_unfolding,[],[f162,f166]) ).
fof(f220,plain,
ssList(sK3),
inference(definition_unfolding,[],[f158,f166]) ).
fof(f222,plain,
! [X8,X7,X5] :
( ~ ssList(X5)
| sK2 = X5
| ~ ssList(tl(sK3))
| ~ ssList(X7)
| app(tl(sK3),X7) != X5
| ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(sK3) != X8
| ~ neq(nil,sK3)
| ~ neq(nil,sK3)
| ~ neq(sK3,nil) ),
inference(equality_resolution,[],[f160]) ).
fof(f223,plain,
! [X8,X7] :
( ~ ssList(app(tl(sK3),X7))
| sK2 = app(tl(sK3),X7)
| ~ ssList(tl(sK3))
| ~ ssList(X7)
| ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(sK3) != X8
| ~ neq(nil,sK3)
| ~ neq(nil,sK3)
| ~ neq(sK3,nil) ),
inference(equality_resolution,[],[f222]) ).
fof(f224,plain,
! [X8] :
( ~ ssList(app(tl(sK3),cons(X8,nil)))
| sK2 = app(tl(sK3),cons(X8,nil))
| ~ ssList(tl(sK3))
| ~ ssList(cons(X8,nil))
| ~ ssItem(X8)
| hd(sK3) != X8
| ~ neq(nil,sK3)
| ~ neq(nil,sK3)
| ~ neq(sK3,nil) ),
inference(equality_resolution,[],[f223]) ).
fof(f225,plain,
( ~ ssList(app(tl(sK3),cons(hd(sK3),nil)))
| sK2 = app(tl(sK3),cons(hd(sK3),nil))
| ~ ssList(tl(sK3))
| ~ ssList(cons(hd(sK3),nil))
| ~ ssItem(hd(sK3))
| ~ neq(nil,sK3)
| ~ neq(nil,sK3)
| ~ neq(sK3,nil) ),
inference(equality_resolution,[],[f224]) ).
fof(f236,plain,
( ~ ssList(app(tl(sK3),cons(hd(sK3),nil)))
| sK2 = app(tl(sK3),cons(hd(sK3),nil))
| ~ ssList(tl(sK3))
| ~ ssList(cons(hd(sK3),nil))
| ~ ssItem(hd(sK3))
| ~ neq(nil,sK3)
| ~ neq(sK3,nil) ),
inference(duplicate_literal_removal,[],[f225]) ).
fof(f237,plain,
( sK2 = app(tl(sK3),cons(hd(sK3),nil))
| ~ ssList(tl(sK3))
| ~ ssList(cons(hd(sK3),nil))
| ~ ssItem(hd(sK3))
| ~ neq(nil,sK3)
| ~ neq(sK3,nil) ),
inference(forward_subsumption_resolution,[],[f236,f189]) ).
fof(f239,definition,
( spl13_1
<=> memberP(sK2,sK4) ),
introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).
fof(f241,plain,
( memberP(sK2,sK4)
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f242,plain,
spl13_1,
inference(avatar_split_clause,[],[f218,f239]) ).
fof(f262,definition,
( spl13_2
<=> ssList(sK3) ),
introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition]) ).
fof(f264,plain,
( ssList(sK3)
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f265,plain,
spl13_2,
inference(avatar_split_clause,[],[f220,f262]) ).
fof(f267,definition,
( spl13_3
<=> ssItem(sK4) ),
introduced(definition,[new_symbols(definition,[spl13_3])],[avatar_definition]) ).
fof(f269,plain,
( ssItem(sK4)
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f270,plain,
spl13_3,
inference(avatar_split_clause,[],[f164,f267]) ).
fof(f272,definition,
( spl13_4
<=> memberP(sK3,sK4) ),
introduced(definition,[new_symbols(definition,[spl13_4])],[avatar_definition]) ).
fof(f274,plain,
( ~ memberP(sK3,sK4)
| spl13_4 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f275,plain,
~ spl13_4,
inference(avatar_split_clause,[],[f219,f272]) ).
fof(f322,plain,
( ssItem(hd(sK3))
| nil = sK3
| ~ spl13_2 ),
inference(resolution,[],[f264,f199]) ).
fof(f336,plain,
( sK3 = cons(hd(sK3),tl(sK3))
| nil = sK3
| ~ spl13_2 ),
inference(resolution,[],[f264,f212]) ).
fof(f342,plain,
( ssList(tl(sK3))
| nil = sK3
| ~ spl13_2 ),
inference(resolution,[],[f264,f217]) ).
fof(f359,plain,
( ~ memberP(nil,sK4)
| ~ spl13_3 ),
inference(resolution,[],[f269,f200]) ).
fof(f467,definition,
( spl13_7
<=> nil = sK3 ),
introduced(definition,[new_symbols(definition,[spl13_7])],[avatar_definition]) ).
fof(f469,plain,
( nil != sK3
| spl13_7 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f471,definition,
( spl13_8
<=> nil = sK2 ),
introduced(definition,[new_symbols(definition,[spl13_8])],[avatar_definition]) ).
fof(f473,plain,
( nil = sK2
| ~ spl13_8 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f474,plain,
( ~ spl13_7
| spl13_8 ),
inference(avatar_split_clause,[],[f161,f471,f467]) ).
fof(f483,plain,
( ssItem(hd(sK3))
| ~ spl13_2
| spl13_7 ),
inference(backward_subsumption_resolution,[],[f322,f469]) ).
fof(f489,plain,
( ssList(tl(sK3))
| ~ spl13_2
| spl13_7 ),
inference(backward_subsumption_resolution,[],[f342,f469]) ).
fof(f491,plain,
( sK2 = app(tl(sK3),cons(hd(sK3),nil))
| ~ ssList(tl(sK3))
| ~ ssList(cons(hd(sK3),nil))
| ~ neq(nil,sK3)
| ~ neq(sK3,nil)
| ~ spl13_2
| spl13_7 ),
inference(backward_subsumption_resolution,[],[f237,f483]) ).
fof(f493,plain,
( sK2 = app(tl(sK3),cons(hd(sK3),nil))
| ~ ssList(cons(hd(sK3),nil))
| ~ neq(nil,sK3)
| ~ neq(sK3,nil)
| ~ spl13_2
| spl13_7 ),
inference(forward_subsumption_resolution,[],[f491,f489]) ).
fof(f495,definition,
( spl13_9
<=> ssItem(hd(sK3)) ),
introduced(definition,[new_symbols(definition,[spl13_9])],[avatar_definition]) ).
fof(f497,plain,
( ssItem(hd(sK3))
| ~ spl13_9 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f498,plain,
( spl13_9
| ~ spl13_2
| spl13_7 ),
inference(avatar_split_clause,[],[f483,f467,f262,f495]) ).
fof(f500,definition,
( spl13_10
<=> neq(sK3,nil) ),
introduced(definition,[new_symbols(definition,[spl13_10])],[avatar_definition]) ).
fof(f502,plain,
( ~ neq(sK3,nil)
| spl13_10 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f504,definition,
( spl13_11
<=> neq(nil,sK3) ),
introduced(definition,[new_symbols(definition,[spl13_11])],[avatar_definition]) ).
fof(f506,plain,
( ~ neq(nil,sK3)
| spl13_11 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f508,definition,
( spl13_12
<=> ssList(cons(hd(sK3),nil)) ),
introduced(definition,[new_symbols(definition,[spl13_12])],[avatar_definition]) ).
fof(f509,plain,
( ssList(cons(hd(sK3),nil))
| ~ spl13_12 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f510,plain,
( ~ ssList(cons(hd(sK3),nil))
| spl13_12 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f512,definition,
( spl13_13
<=> sK2 = app(tl(sK3),cons(hd(sK3),nil)) ),
introduced(definition,[new_symbols(definition,[spl13_13])],[avatar_definition]) ).
fof(f514,plain,
( sK2 = app(tl(sK3),cons(hd(sK3),nil))
| ~ spl13_13 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f515,plain,
( ~ spl13_10
| ~ spl13_11
| ~ spl13_12
| spl13_13
| ~ spl13_2
| spl13_7 ),
inference(avatar_split_clause,[],[f493,f467,f262,f512,f508,f504,f500]) ).
fof(f517,plain,
( nil = sK3
| ~ ssList(nil)
| ~ ssList(sK3)
| spl13_10 ),
inference(resolution,[],[f502,f191]) ).
fof(f534,plain,
( ~ ssList(nil)
| ~ ssList(sK3)
| spl13_7
| spl13_10 ),
inference(forward_subsumption_resolution,[],[f517,f469]) ).
fof(f536,plain,
( ~ ssList(sK3)
| spl13_7
| spl13_10 ),
inference(forward_subsumption_resolution,[],[f534,f194]) ).
fof(f537,plain,
( $false
| ~ spl13_2
| spl13_7
| spl13_10 ),
inference(forward_subsumption_resolution,[],[f536,f264]) ).
fof(f538,plain,
( ~ spl13_2
| spl13_7
| spl13_10 ),
inference(avatar_contradiction_clause,[],[f537]) ).
fof(f539,plain,
( ~ ssItem(hd(sK3))
| ~ ssList(nil)
| spl13_12 ),
inference(resolution,[],[f510,f178]) ).
fof(f556,plain,
( ~ ssList(nil)
| ~ spl13_9
| spl13_12 ),
inference(forward_subsumption_resolution,[],[f539,f497]) ).
fof(f557,plain,
( $false
| ~ spl13_9
| spl13_12 ),
inference(forward_subsumption_resolution,[],[f556,f194]) ).
fof(f558,plain,
( ~ spl13_9
| spl13_12 ),
inference(avatar_contradiction_clause,[],[f557]) ).
fof(f654,plain,
( nil = sK3
| ~ ssList(sK3)
| ~ ssList(nil)
| spl13_11 ),
inference(resolution,[],[f506,f191]) ).
fof(f671,plain,
( ~ ssList(sK3)
| ~ ssList(nil)
| spl13_7
| spl13_11 ),
inference(forward_subsumption_resolution,[],[f654,f469]) ).
fof(f673,plain,
( ~ ssList(nil)
| ~ spl13_2
| spl13_7
| spl13_11 ),
inference(forward_subsumption_resolution,[],[f671,f264]) ).
fof(f674,plain,
( $false
| ~ spl13_2
| spl13_7
| spl13_11 ),
inference(forward_subsumption_resolution,[],[f673,f194]) ).
fof(f675,plain,
( ~ spl13_2
| spl13_7
| spl13_11 ),
inference(avatar_contradiction_clause,[],[f674]) ).
fof(f678,plain,
( memberP(nil,sK4)
| ~ spl13_1
| ~ spl13_8 ),
inference(superposition,[],[f241,f473]) ).
fof(f679,plain,
( $false
| ~ spl13_1
| ~ spl13_3
| ~ spl13_8 ),
inference(forward_subsumption_resolution,[],[f678,f359]) ).
fof(f680,plain,
( ~ spl13_1
| ~ spl13_3
| ~ spl13_8 ),
inference(avatar_contradiction_clause,[],[f679]) ).
fof(f699,plain,
( sK3 = cons(hd(sK3),tl(sK3))
| ~ spl13_2
| spl13_7 ),
inference(forward_subsumption_resolution,[],[f336,f469]) ).
fof(f753,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| memberP(tl(sK3),X0)
| memberP(cons(hd(sK3),nil),X0)
| ~ ssList(cons(hd(sK3),nil))
| ~ ssList(tl(sK3))
| ~ ssItem(X0) )
| ~ spl13_13 ),
inference(superposition,[],[f204,f514]) ).
fof(f760,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| memberP(tl(sK3),X0)
| memberP(cons(hd(sK3),nil),X0)
| ~ ssList(tl(sK3))
| ~ ssItem(X0) )
| ~ spl13_12
| ~ spl13_13 ),
inference(forward_subsumption_resolution,[],[f753,f509]) ).
fof(f773,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| memberP(tl(sK3),X0)
| memberP(cons(hd(sK3),nil),X0)
| ~ ssItem(X0) )
| ~ spl13_2
| spl13_7
| ~ spl13_12
| ~ spl13_13 ),
inference(forward_subsumption_resolution,[],[f760,f489]) ).
fof(f812,definition,
( spl13_16
<=> ssList(tl(sK3)) ),
introduced(definition,[new_symbols(definition,[spl13_16])],[avatar_definition]) ).
fof(f814,plain,
( ssList(tl(sK3))
| ~ spl13_16 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f815,plain,
( spl13_16
| ~ spl13_2
| spl13_7 ),
inference(avatar_split_clause,[],[f489,f467,f262,f812]) ).
fof(f928,definition,
( spl13_18
<=> sK3 = cons(hd(sK3),tl(sK3)) ),
introduced(definition,[new_symbols(definition,[spl13_18])],[avatar_definition]) ).
fof(f930,plain,
( sK3 = cons(hd(sK3),tl(sK3))
| ~ spl13_18 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f931,plain,
( spl13_18
| ~ spl13_2
| spl13_7 ),
inference(avatar_split_clause,[],[f699,f467,f262,f928]) ).
fof(f940,plain,
( ! [X0] :
( memberP(sK3,X0)
| ~ memberP(tl(sK3),X0)
| ~ ssList(tl(sK3))
| ~ ssItem(hd(sK3))
| ~ ssItem(X0) )
| ~ spl13_18 ),
inference(superposition,[],[f202,f930]) ).
fof(f947,plain,
( ! [X0] :
( memberP(sK3,X0)
| ~ memberP(tl(sK3),X0)
| ~ ssItem(hd(sK3))
| ~ ssItem(X0) )
| ~ spl13_16
| ~ spl13_18 ),
inference(forward_subsumption_resolution,[],[f940,f814]) ).
fof(f957,plain,
( ! [X0] :
( memberP(sK3,X0)
| ~ memberP(tl(sK3),X0)
| ~ ssItem(X0) )
| ~ spl13_9
| ~ spl13_16
| ~ spl13_18 ),
inference(forward_subsumption_resolution,[],[f947,f497]) ).
fof(f1029,definition,
( spl13_21
<=> ! [X0] :
( ~ memberP(sK2,X0)
| memberP(tl(sK3),X0)
| memberP(cons(hd(sK3),nil),X0)
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl13_21])],[avatar_definition]) ).
fof(f1030,plain,
( ! [X0] :
( memberP(cons(hd(sK3),nil),X0)
| memberP(tl(sK3),X0)
| ~ memberP(sK2,X0)
| ~ ssItem(X0) )
| ~ spl13_21 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f1031,plain,
( spl13_21
| ~ spl13_2
| spl13_7
| ~ spl13_12
| ~ spl13_13 ),
inference(avatar_split_clause,[],[f773,f512,f508,f467,f262,f1029]) ).
fof(f1037,plain,
( ! [X0,X1] :
( memberP(tl(sK3),X0)
| ~ memberP(sK2,X0)
| ~ ssItem(X0)
| memberP(app(cons(hd(sK3),nil),X1),X0)
| ~ ssList(X1)
| ~ ssList(cons(hd(sK3),nil))
| ~ ssItem(X0) )
| ~ spl13_21 ),
inference(resolution,[],[f1030,f206]) ).
fof(f1056,plain,
( ! [X0,X1] :
( memberP(tl(sK3),X0)
| ~ memberP(sK2,X0)
| ~ ssItem(X0)
| memberP(app(cons(hd(sK3),nil),X1),X0)
| ~ ssList(X1)
| ~ ssList(cons(hd(sK3),nil)) )
| ~ spl13_21 ),
inference(duplicate_literal_removal,[],[f1037]) ).
fof(f1063,plain,
( ! [X0,X1] :
( memberP(tl(sK3),X0)
| ~ memberP(sK2,X0)
| ~ ssItem(X0)
| memberP(app(cons(hd(sK3),nil),X1),X0)
| ~ ssList(X1) )
| ~ spl13_12
| ~ spl13_21 ),
inference(forward_subsumption_resolution,[],[f1056,f509]) ).
fof(f1072,definition,
( spl13_22
<=> ! [X0,X1] :
( memberP(tl(sK3),X0)
| ~ memberP(sK2,X0)
| ~ ssItem(X0)
| memberP(app(cons(hd(sK3),nil),X1),X0)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl13_22])],[avatar_definition]) ).
fof(f1073,plain,
( ! [X0,X1] :
( memberP(app(cons(hd(sK3),nil),X1),X0)
| ~ memberP(sK2,X0)
| ~ ssItem(X0)
| memberP(tl(sK3),X0)
| ~ ssList(X1) )
| ~ spl13_22 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f1074,plain,
( spl13_22
| ~ spl13_12
| ~ spl13_21 ),
inference(avatar_split_clause,[],[f1063,f1029,f508,f1072]) ).
fof(f1098,plain,
( ! [X0,X1] :
( memberP(cons(hd(sK3),X0),X1)
| ~ memberP(sK2,X1)
| ~ ssItem(X1)
| memberP(tl(sK3),X1)
| ~ ssList(X0)
| ~ ssItem(hd(sK3))
| ~ ssList(X0) )
| ~ spl13_22 ),
inference(superposition,[],[f1073,f184]) ).
fof(f1100,plain,
( ! [X0,X1] :
( memberP(cons(hd(sK3),X0),X1)
| ~ memberP(sK2,X1)
| ~ ssItem(X1)
| memberP(tl(sK3),X1)
| ~ ssList(X0)
| ~ ssItem(hd(sK3)) )
| ~ spl13_22 ),
inference(duplicate_literal_removal,[],[f1098]) ).
fof(f1108,plain,
( ! [X0,X1] :
( memberP(cons(hd(sK3),X0),X1)
| ~ memberP(sK2,X1)
| ~ ssItem(X1)
| memberP(tl(sK3),X1)
| ~ ssList(X0) )
| ~ spl13_9
| ~ spl13_22 ),
inference(forward_subsumption_resolution,[],[f1100,f497]) ).
fof(f1596,definition,
( spl13_40
<=> ! [X0,X1] :
( memberP(cons(hd(sK3),X0),X1)
| ~ memberP(sK2,X1)
| ~ ssItem(X1)
| memberP(tl(sK3),X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl13_40])],[avatar_definition]) ).
fof(f1597,plain,
( ! [X0,X1] :
( memberP(cons(hd(sK3),X0),X1)
| ~ memberP(sK2,X1)
| ~ ssItem(X1)
| memberP(tl(sK3),X1)
| ~ ssList(X0) )
| ~ spl13_40 ),
inference(avatar_component_clause,[],[f1596]) ).
fof(f1598,plain,
( spl13_40
| ~ spl13_9
| ~ spl13_22 ),
inference(avatar_split_clause,[],[f1108,f1072,f495,f1596]) ).
fof(f1607,plain,
( ! [X0] :
( memberP(sK3,X0)
| ~ memberP(sK2,X0)
| ~ ssItem(X0)
| memberP(tl(sK3),X0)
| ~ ssList(tl(sK3)) )
| ~ spl13_18
| ~ spl13_40 ),
inference(superposition,[],[f1597,f930]) ).
fof(f1618,plain,
( ! [X0] :
( memberP(sK3,X0)
| ~ memberP(sK2,X0)
| ~ ssItem(X0)
| ~ ssList(tl(sK3)) )
| ~ spl13_9
| ~ spl13_16
| ~ spl13_18
| ~ spl13_40 ),
inference(forward_subsumption_resolution,[],[f1607,f957]) ).
fof(f1625,plain,
( ! [X0] :
( memberP(sK3,X0)
| ~ memberP(sK2,X0)
| ~ ssItem(X0) )
| ~ spl13_9
| ~ spl13_16
| ~ spl13_18
| ~ spl13_40 ),
inference(forward_subsumption_resolution,[],[f1618,f814]) ).
fof(f1628,definition,
( spl13_41
<=> ! [X0] :
( memberP(sK3,X0)
| ~ memberP(sK2,X0)
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl13_41])],[avatar_definition]) ).
fof(f1629,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| memberP(sK3,X0)
| ~ ssItem(X0) )
| ~ spl13_41 ),
inference(avatar_component_clause,[],[f1628]) ).
fof(f1630,plain,
( spl13_41
| ~ spl13_9
| ~ spl13_16
| ~ spl13_18
| ~ spl13_40 ),
inference(avatar_split_clause,[],[f1625,f1596,f928,f812,f495,f1628]) ).
fof(f1631,plain,
( memberP(sK3,sK4)
| ~ ssItem(sK4)
| ~ spl13_1
| ~ spl13_41 ),
inference(resolution,[],[f1629,f241]) ).
fof(f1642,plain,
( ~ ssItem(sK4)
| ~ spl13_1
| spl13_4
| ~ spl13_41 ),
inference(forward_subsumption_resolution,[],[f1631,f274]) ).
fof(f1643,plain,
( $false
| ~ spl13_1
| ~ spl13_3
| spl13_4
| ~ spl13_41 ),
inference(forward_subsumption_resolution,[],[f1642,f269]) ).
fof(f1644,plain,
( ~ spl13_1
| ~ spl13_3
| spl13_4
| ~ spl13_41 ),
inference(avatar_contradiction_clause,[],[f1643]) ).
cnf(s1,plain,
spl13_1,
inference(sat_conversion,[],[f242]) ).
cnf(s2,plain,
spl13_2,
inference(sat_conversion,[],[f265]) ).
cnf(s3,plain,
spl13_3,
inference(sat_conversion,[],[f270]) ).
cnf(s4,plain,
~ spl13_4,
inference(sat_conversion,[],[f275]) ).
cnf(s7,plain,
( ~ spl13_7
| spl13_8 ),
inference(sat_conversion,[],[f474]) ).
cnf(s8,plain,
( ~ spl13_2
| spl13_7
| spl13_9 ),
inference(sat_conversion,[],[f498]) ).
cnf(s9,plain,
( ~ spl13_2
| spl13_7
| ~ spl13_10
| ~ spl13_11
| ~ spl13_12
| spl13_13 ),
inference(sat_conversion,[],[f515]) ).
cnf(s10,plain,
( ~ spl13_2
| spl13_7
| spl13_10 ),
inference(sat_conversion,[],[f538]) ).
cnf(s11,plain,
( ~ spl13_9
| spl13_12 ),
inference(sat_conversion,[],[f558]) ).
cnf(s12,plain,
( ~ spl13_2
| spl13_7
| spl13_11 ),
inference(sat_conversion,[],[f675]) ).
cnf(s13,plain,
( ~ spl13_1
| ~ spl13_3
| ~ spl13_8 ),
inference(sat_conversion,[],[f680]) ).
cnf(s16,plain,
( ~ spl13_2
| spl13_7
| spl13_16 ),
inference(sat_conversion,[],[f815]) ).
cnf(s18,plain,
( ~ spl13_2
| spl13_7
| spl13_18 ),
inference(sat_conversion,[],[f931]) ).
cnf(s21,plain,
( ~ spl13_2
| spl13_7
| ~ spl13_12
| ~ spl13_13
| spl13_21 ),
inference(sat_conversion,[],[f1031]) ).
cnf(s22,plain,
( ~ spl13_12
| ~ spl13_21
| spl13_22 ),
inference(sat_conversion,[],[f1074]) ).
cnf(s40,plain,
( ~ spl13_9
| ~ spl13_22
| spl13_40 ),
inference(sat_conversion,[],[f1598]) ).
cnf(s41,plain,
( ~ spl13_9
| ~ spl13_16
| ~ spl13_18
| ~ spl13_40
| spl13_41 ),
inference(sat_conversion,[],[f1630]) ).
cnf(s42,plain,
( ~ spl13_1
| ~ spl13_3
| spl13_4
| ~ spl13_41 ),
inference(sat_conversion,[],[f1644]) ).
cnf(s47,plain,
~ spl13_41,
inference(rat,[],[s42,s3,s4,s1]) ).
cnf(s51,plain,
~ spl13_8,
inference(rat,[],[s13,s3,s1]) ).
cnf(s55,plain,
~ spl13_7,
inference(rat,[],[s7,s51]) ).
cnf(s57,plain,
spl13_18,
inference(rat,[],[s18,s2,s55]) ).
cnf(s58,plain,
spl13_16,
inference(rat,[],[s16,s2,s55]) ).
cnf(s59,plain,
spl13_11,
inference(rat,[],[s12,s2,s55]) ).
cnf(s60,plain,
spl13_10,
inference(rat,[],[s10,s2,s55]) ).
cnf(s61,plain,
spl13_9,
inference(rat,[],[s8,s2,s55]) ).
cnf(s68,plain,
~ spl13_40,
inference(rat,[],[s41,s47,s58,s57,s61]) ).
cnf(s69,plain,
~ spl13_22,
inference(rat,[],[s40,s68,s61]) ).
cnf(s71,plain,
spl13_12,
inference(rat,[],[s11,s61]) ).
cnf(s73,plain,
~ spl13_21,
inference(rat,[],[s22,s69,s71]) ).
cnf(s74,plain,
~ spl13_13,
inference(rat,[],[s21,s73,s55,s2,s71]) ).
cnf(s75,plain,
$false,
inference(rat,[],[s9,s60,s55,s59,s2,s74,s71]) ).
fof(f1645,plain,
$false,
inference(avatar_sat_refutation,[],[s75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC395+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n005.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 09:27:01 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.86/1.42 % (666708)Detected formulas, will run a generic FOF schedule.
% 4.86/1.42 % (666715)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=1737536611:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.86/1.42 % (666714)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=2877609644:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.86/1.42 % (666716)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=742078360:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.86/1.42 % (666713)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=598388073:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.86/1.42 % (666717)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=603468312:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.86/1.42 % (666719)dis-21_1_sil=8000:lcm=predicate:random_seed=2802015718: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)
% 4.86/1.42 % (666718)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3046803026:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.86/1.42 % (666716)Instruction limit reached!
% 4.86/1.42 % (666716)------------------------------
% 4.86/1.42 % (666716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.42 % (666716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.42 % (666716)CaDiCaL version: 2.1.3
% 4.86/1.42 % (666716)Termination reason: Instruction limit
% 4.86/1.42 % (666716)Termination phase: Saturation
% 4.86/1.42 % (666716)Time elapsed: 0.063 s
% 4.86/1.42 % (666716)Peak memory usage: 89 MB
% 4.86/1.42 % (666716)Instructions burned: 109 (million)
% 4.86/1.42 % (666717)Instruction limit reached!
% 4.86/1.42 % (666717)------------------------------
% 4.86/1.42 % (666717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.42 % (666717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.42 % (666717)CaDiCaL version: 2.1.3
% 4.86/1.42 % (666717)Termination reason: Instruction limit
% 4.86/1.42 % (666717)Termination phase: Saturation
% 4.86/1.42 % (666717)Time elapsed: 0.067 s
% 4.86/1.42 % (666717)Peak memory usage: 88 MB
% 4.86/1.42 % (666717)Instructions burned: 121 (million)
% 4.86/1.42 % (666719)Instruction limit reached!
% 4.86/1.42 % (666719)------------------------------
% 4.86/1.42 % (666719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.42 % (666719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.42 % (666719)CaDiCaL version: 2.1.3
% 4.86/1.42 % (666719)Termination reason: Instruction limit
% 4.86/1.42 % (666719)Termination phase: Saturation
% 4.86/1.42 % (666719)Time elapsed: 0.071 s
% 4.86/1.42 % (666719)Peak memory usage: 90 MB
% 4.86/1.42 % (666719)Instructions burned: 130 (million)
% 4.86/1.42 % (666718)Instruction limit reached!
% 4.86/1.42 % (666718)------------------------------
% 4.86/1.42 % (666718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.42 % (666718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.42 % (666718)CaDiCaL version: 2.1.3
% 4.86/1.42 % (666718)Termination reason: Instruction limit
% 4.86/1.42 % (666718)Termination phase: Saturation
% 4.86/1.42 % (666718)Time elapsed: 0.092 s
% 4.86/1.42 % (666718)Peak memory usage: 90 MB
% 4.86/1.42 % (666718)Instructions burned: 140 (million)
% 4.86/1.42 % (666727)lrs+10_1_sil=8000:sp=occurrence:random_seed=2741689648:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.86/1.42 % (666728)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1482801473:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.86/1.42 % (666729)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1480476481:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.86/1.42 % (666730)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=190965342:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.86/1.42 % (666728)Instruction limit reached!
% 4.86/1.42 % (666728)------------------------------
% 4.86/1.42 % (666728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.42 % (666728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.42 % (666728)CaDiCaL version: 2.1.3
% 4.86/1.42 % (666728)Termination reason: Instruction limit
% 4.86/1.42 % (666728)Termination phase: Saturation
% 4.86/1.42 % (666728)Time elapsed: 0.083 s
% 4.86/1.42 % (666728)Peak memory usage: 94 MB
% 4.86/1.42 % (666728)Instructions burned: 157 (million)
% 4.86/1.42 % (666727)Instruction limit reached!
% 4.86/1.42 % (666727)------------------------------
% 4.86/1.42 % (666727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.42 % (666727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.42 % (666727)CaDiCaL version: 2.1.3
% 4.86/1.42 % (666727)Termination reason: Instruction limit
% 4.86/1.42 % (666727)Termination phase: Saturation
% 4.86/1.42 % (666727)Time elapsed: 0.163 s
% 4.86/1.42 % (666727)Peak memory usage: 92 MB
% 4.86/1.42 % (666727)Instructions burned: 285 (million)
% 4.86/1.42 % (666730)Instruction limit reached!
% 4.86/1.42 % (666730)------------------------------
% 4.86/1.42 % (666730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.42 % (666730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.42 % (666730)CaDiCaL version: 2.1.3
% 4.86/1.42 % (666730)Termination reason: Instruction limit
% 4.86/1.42 % (666730)Termination phase: Saturation
% 4.86/1.42 % (666730)Time elapsed: 0.119 s
% 4.86/1.42 % (666730)Peak memory usage: 94 MB
% 4.86/1.42 % (666730)Instructions burned: 249 (million)
% 4.86/1.42 % (666715)First to succeed.
% 4.86/1.42 % (666715)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-666708"
% 4.86/1.42 % (666729)Instruction limit reached!
% 4.86/1.42 % (666729)------------------------------
% 4.86/1.42 % (666729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.42 % (666729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.42 % (666729)CaDiCaL version: 2.1.3
% 4.86/1.42 % (666729)Termination reason: Instruction limit
% 4.86/1.42 % (666729)Termination phase: Saturation
% 4.86/1.42 % (666729)Time elapsed: 0.192 s
% 4.86/1.42 % (666729)Peak memory usage: 92 MB
% 4.86/1.42 % (666729)Instructions burned: 325 (million)
% 4.86/1.42 % (666735)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2968410265:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.86/1.42 % (666735)Refutation not found, incomplete strategy
% 4.86/1.42 % (666735)------------------------------
% 4.86/1.42 % (666735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.42 % (666735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.42 % (666735)CaDiCaL version: 2.1.3
% 4.86/1.42 % (666735)Termination reason: Refutation not found, incomplete strategy
% 4.86/1.42 % (666735)Time elapsed: 0.008 s
% 4.86/1.42 % (666735)Peak memory usage: 88 MB
% 4.86/1.42 % (666735)Instructions burned: 10 (million)
% 4.86/1.42 % (666737)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1428368994:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 4.86/1.42 % (666736)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4065282930:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.86/1.42 % (666715)Refutation found. Thanks to Tanya!
% 4.86/1.42 % SZS status Theorem for theBenchmark
% 4.86/1.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.61 % (666715)------------------------------
% 0.18/1.61 % (666715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.61 % (666715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.61 % (666715)CaDiCaL version: 2.1.3
% 0.18/1.61 % (666715)Termination reason: Refutation
% 0.18/1.61 % (666715)Time elapsed: 0.472 s
% 0.18/1.61 % (666715)Peak memory usage: 133 MB
% 0.18/1.61 % (666715)Instructions burned: 1216 (million)
% 0.18/1.61 % (666715)------------------------------
% 0.18/1.61 % (666715)------------------------------
% 0.18/1.61 % (666708)Success in time 0.762 s
% 0.18/1.61 % Vampire exiting
%------------------------------------------------------------------------------