%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC316+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 : n003.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 01:03:26 PM UTC 2026
% Result : Theorem 4.56s 1.38s
% Output : Refutation 5.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 20
% Syntax : Number of formulae : 156 ( 21 unt; 11 def)
% Number of atoms : 628 ( 130 equ)
% Maximal formula atoms : 25 ( 4 avg)
% Number of connectives : 832 ( 360 ~; 351 |; 83 &)
% ( 12 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 11 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 197 ( 0 sgn 167 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ( ( ~ neq(X1,nil)
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(cons(X4,nil),X5) != X2
| app(X5,cons(X4,nil)) != X3 ) ) )
| ( ? [X6] :
( ssList(X6)
& X1 = X6
& ? [X7] :
( ssList(X7)
& ? [X8] :
( ssList(X8)
& tl(X0) = X7
& app(X7,X8) = X6
& ? [X9] :
( ssItem(X9)
& cons(X9,nil) = X8
& hd(X0) = X9
& neq(nil,X0) )
& neq(nil,X0) ) ) )
& neq(X0,nil) ) )
& ( ~ 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] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(cons(X4,nil),X5) != X2
| app(X5,cons(X4,nil)) != X3 ) ) )
| ( ? [X6] :
( ssList(X6)
& X1 = X6
& ? [X7] :
( ssList(X7)
& ? [X8] :
( ssList(X8)
& tl(X0) = X7
& app(X7,X8) = X6
& ? [X9] :
( ssItem(X9)
& cons(X9,nil) = X8
& hd(X0) = X9
& neq(nil,X0) )
& neq(nil,X0) ) ) )
& neq(X0,nil) ) )
& ( ~ neq(X1,nil)
| neq(X3,nil) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f129]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( ( neq(X1,nil)
& ? [X4] :
( ? [X5] :
( app(cons(X4,nil),X5) = X2
& app(X5,cons(X4,nil)) = X3
& ssList(X5) )
& ssItem(X4) )
& ( ! [X6] :
( ~ ssList(X6)
| X1 != X6
| ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| tl(X0) != X7
| app(X7,X8) != X6
| ! [X9] :
( ~ ssItem(X9)
| cons(X9,nil) != X8
| hd(X0) != X9
| ~ neq(nil,X0) )
| ~ neq(nil,X0) ) ) )
| ~ neq(X0,nil) ) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( ( neq(X1,nil)
& ? [X4] :
( ? [X5] :
( app(cons(X4,nil),X5) = X2
& app(X5,cons(X4,nil)) = X3
& ssList(X5) )
& ssItem(X4) )
& ( ! [X6] :
( ~ ssList(X6)
| X1 != X6
| ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| tl(X0) != X7
| app(X7,X8) != X6
| ! [X9] :
( ~ ssItem(X9)
| cons(X9,nil) != X8
| hd(X0) != X9
| ~ neq(nil,X0) )
| ~ neq(nil,X0) ) ) )
| ~ neq(X0,nil) ) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f232,definition,
! [X1,X2,X3,X0] :
( ( neq(X1,nil)
& ? [X4] :
( ? [X5] :
( app(cons(X4,nil),X5) = X2
& app(X5,cons(X4,nil)) = X3
& ssList(X5) )
& ssItem(X4) )
& ( ! [X6] :
( ~ ssList(X6)
| X1 != X6
| ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| tl(X0) != X7
| app(X7,X8) != X6
| ! [X9] :
( ~ ssItem(X9)
| cons(X9,nil) != X8
| hd(X0) != X9
| ~ neq(nil,X0) )
| ~ neq(nil,X0) ) ) )
| ~ neq(X0,nil) ) )
| ~ sP6(X1,X2,X3,X0) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f233,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( sP6(X1,X2,X3,X0)
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(definition_folding,[],[f222,f232]) ).
fof(f275,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f298,plain,
! [X1,X2,X3,X0] :
( ( neq(X1,nil)
& ? [X4] :
( ? [X5] :
( app(cons(X4,nil),X5) = X2
& app(X5,cons(X4,nil)) = X3
& ssList(X5) )
& ssItem(X4) )
& ( ! [X6] :
( ~ ssList(X6)
| X1 != X6
| ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| tl(X0) != X7
| app(X7,X8) != X6
| ! [X9] :
( ~ ssItem(X9)
| cons(X9,nil) != X8
| hd(X0) != X9
| ~ neq(nil,X0) )
| ~ neq(nil,X0) ) ) )
| ~ neq(X0,nil) ) )
| ~ sP6(X1,X2,X3,X0) ),
inference(nnf_transformation,[],[f232]) ).
fof(f299,plain,
! [X0,X1,X2,X3] :
( ( neq(X0,nil)
& ? [X4] :
( ? [X5] :
( app(cons(X4,nil),X5) = X1
& app(X5,cons(X4,nil)) = X2
& ssList(X5) )
& ssItem(X4) )
& ( ! [X6] :
( ~ ssList(X6)
| X0 != X6
| ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| tl(X3) != X7
| app(X7,X8) != X6
| ! [X9] :
( ~ ssItem(X9)
| cons(X9,nil) != X8
| hd(X3) != X9
| ~ neq(nil,X3) )
| ~ neq(nil,X3) ) ) )
| ~ neq(X3,nil) ) )
| ~ sP6(X0,X1,X2,X3) ),
inference(rectify,[],[f298]) ).
fof(f300,plain,
! [X0,X1,X2,X3] :
( ( neq(X0,nil)
& app(cons(sK54(X1,X2),nil),sK55(X1,X2)) = X1
& app(sK55(X1,X2),cons(sK54(X1,X2),nil)) = X2
& ssList(sK55(X1,X2))
& ssItem(sK54(X1,X2))
& ( ! [X6] :
( ~ ssList(X6)
| X0 != X6
| ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| tl(X3) != X7
| app(X7,X8) != X6
| ! [X9] :
( ~ ssItem(X9)
| cons(X9,nil) != X8
| hd(X3) != X9
| ~ neq(nil,X3) )
| ~ neq(nil,X3) ) ) )
| ~ neq(X3,nil) ) )
| ~ sP6(X0,X1,X2,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK54,sK55]),skolemize(X4,sK54(X1,X2)),skolemize(X5,sK55(X1,X2))],[f299]) ).
fof(f301,plain,
( sK57 = sK59
& sK56 = sK58
& ( sP6(sK57,sK58,sK59,sK56)
| ( neq(sK57,nil)
& ~ neq(sK59,nil) ) )
& ssList(sK59)
& ssList(sK58)
& ssList(sK57)
& ssList(sK56) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK56,sK57,sK58,sK59]),skolemize(X0,sK56),skolemize(X1,sK57),skolemize(X2,sK58),skolemize(X3,sK59)],[f233]) ).
fof(f392,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f393,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f394,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f401,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f403,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
inference(cnf_transformation,[],[f128]) ).
fof(f404,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f405,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f482,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f501,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7] :
( ~ ssList(X6)
| X0 != X6
| ~ ssList(X7)
| ~ ssList(X8)
| tl(X3) != X7
| app(X7,X8) != X6
| ~ ssItem(X9)
| cons(X9,nil) != X8
| hd(X3) != X9
| ~ neq(nil,X3)
| ~ neq(nil,X3)
| ~ neq(X3,nil)
| ~ sP6(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f300]) ).
fof(f502,plain,
! [X2,X3,X0,X1] :
( ~ sP6(X0,X1,X2,X3)
| ssItem(sK54(X1,X2)) ),
inference(cnf_transformation,[],[f300]) ).
fof(f503,plain,
! [X2,X3,X0,X1] :
( ~ sP6(X0,X1,X2,X3)
| ssList(sK55(X1,X2)) ),
inference(cnf_transformation,[],[f300]) ).
fof(f504,plain,
! [X2,X3,X0,X1] :
( ~ sP6(X0,X1,X2,X3)
| app(sK55(X1,X2),cons(sK54(X1,X2),nil)) = X2 ),
inference(cnf_transformation,[],[f300]) ).
fof(f505,plain,
! [X2,X3,X0,X1] :
( ~ sP6(X0,X1,X2,X3)
| app(cons(sK54(X1,X2),nil),sK55(X1,X2)) = X1 ),
inference(cnf_transformation,[],[f300]) ).
fof(f506,plain,
! [X2,X3,X0,X1] :
( ~ sP6(X0,X1,X2,X3)
| neq(X0,nil) ),
inference(cnf_transformation,[],[f300]) ).
fof(f507,plain,
ssList(sK56),
inference(cnf_transformation,[],[f301]) ).
fof(f508,plain,
ssList(sK57),
inference(cnf_transformation,[],[f301]) ).
fof(f511,plain,
( sP6(sK57,sK58,sK59,sK56)
| ~ neq(sK59,nil) ),
inference(cnf_transformation,[],[f301]) ).
fof(f512,plain,
( sP6(sK57,sK58,sK59,sK56)
| neq(sK57,nil) ),
inference(cnf_transformation,[],[f301]) ).
fof(f513,plain,
sK56 = sK58,
inference(cnf_transformation,[],[f301]) ).
fof(f514,plain,
sK57 = sK59,
inference(cnf_transformation,[],[f301]) ).
fof(f515,plain,
( sP6(sK59,sK58,sK59,sK58)
| neq(sK59,nil) ),
inference(definition_unfolding,[],[f512,f514,f513,f514]) ).
fof(f516,plain,
( sP6(sK59,sK58,sK59,sK58)
| ~ neq(sK59,nil) ),
inference(definition_unfolding,[],[f511,f514,f513]) ).
fof(f517,plain,
ssList(sK59),
inference(definition_unfolding,[],[f508,f514]) ).
fof(f518,plain,
ssList(sK58),
inference(definition_unfolding,[],[f507,f513]) ).
fof(f546,plain,
! [X2,X3,X1,X8,X6,X9,X7] :
( ~ ssList(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| tl(X3) != X7
| app(X7,X8) != X6
| ~ ssItem(X9)
| cons(X9,nil) != X8
| hd(X3) != X9
| ~ neq(nil,X3)
| ~ neq(nil,X3)
| ~ neq(X3,nil)
| ~ sP6(X6,X1,X2,X3) ),
inference(equality_resolution,[],[f501]) ).
fof(f547,plain,
! [X2,X3,X1,X8,X6,X9] :
( ~ ssList(X6)
| ~ ssList(tl(X3))
| ~ ssList(X8)
| app(tl(X3),X8) != X6
| ~ ssItem(X9)
| cons(X9,nil) != X8
| hd(X3) != X9
| ~ neq(nil,X3)
| ~ neq(nil,X3)
| ~ neq(X3,nil)
| ~ sP6(X6,X1,X2,X3) ),
inference(equality_resolution,[],[f546]) ).
fof(f548,plain,
! [X2,X3,X1,X8,X9] :
( ~ ssList(app(tl(X3),X8))
| ~ ssList(tl(X3))
| ~ ssList(X8)
| ~ ssItem(X9)
| cons(X9,nil) != X8
| hd(X3) != X9
| ~ neq(nil,X3)
| ~ neq(nil,X3)
| ~ neq(X3,nil)
| ~ sP6(app(tl(X3),X8),X1,X2,X3) ),
inference(equality_resolution,[],[f547]) ).
fof(f549,plain,
! [X2,X3,X1,X9] :
( ~ ssList(app(tl(X3),cons(X9,nil)))
| ~ ssList(tl(X3))
| ~ ssList(cons(X9,nil))
| ~ ssItem(X9)
| hd(X3) != X9
| ~ neq(nil,X3)
| ~ neq(nil,X3)
| ~ neq(X3,nil)
| ~ sP6(app(tl(X3),cons(X9,nil)),X1,X2,X3) ),
inference(equality_resolution,[],[f548]) ).
fof(f550,plain,
! [X2,X3,X1] :
( ~ ssList(app(tl(X3),cons(hd(X3),nil)))
| ~ ssList(tl(X3))
| ~ ssList(cons(hd(X3),nil))
| ~ ssItem(hd(X3))
| ~ neq(nil,X3)
| ~ neq(nil,X3)
| ~ neq(X3,nil)
| ~ sP6(app(tl(X3),cons(hd(X3),nil)),X1,X2,X3) ),
inference(equality_resolution,[],[f549]) ).
fof(f551,plain,
! [X2,X3,X1] :
( ~ sP6(app(tl(X3),cons(hd(X3),nil)),X1,X2,X3)
| ~ ssList(tl(X3))
| ~ ssList(cons(hd(X3),nil))
| ~ ssItem(hd(X3))
| ~ neq(nil,X3)
| ~ neq(X3,nil)
| ~ ssList(app(tl(X3),cons(hd(X3),nil))) ),
inference(duplicate_literal_removal,[],[f550]) ).
fof(f560,definition,
( spl60_1
<=> neq(sK59,nil) ),
introduced(definition,[new_symbols(definition,[spl60_1])],[avatar_definition]) ).
fof(f564,definition,
( spl60_2
<=> sP6(sK59,sK58,sK59,sK58) ),
introduced(definition,[new_symbols(definition,[spl60_2])],[avatar_definition]) ).
fof(f566,plain,
( sP6(sK59,sK58,sK59,sK58)
| ~ spl60_2 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f567,plain,
( ~ spl60_1
| spl60_2 ),
inference(avatar_split_clause,[],[f516,f564,f560]) ).
fof(f568,plain,
( spl60_1
| spl60_2 ),
inference(avatar_split_clause,[],[f515,f564,f560]) ).
fof(f570,definition,
( spl60_3
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl60_3])],[avatar_definition]) ).
fof(f571,plain,
( ssList(nil)
| ~ spl60_3 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f598,plain,
spl60_3,
inference(avatar_split_clause,[],[f394,f570]) ).
fof(f601,plain,
( sK58 = app(cons(sK54(sK58,sK59),nil),sK55(sK58,sK59))
| ~ spl60_2 ),
inference(resolution,[],[f566,f505]) ).
fof(f602,plain,
( neq(sK59,nil)
| ~ spl60_2 ),
inference(resolution,[],[f506,f566]) ).
fof(f603,plain,
( spl60_1
| ~ spl60_2 ),
inference(avatar_split_clause,[],[f602,f564,f560]) ).
fof(f604,plain,
( ssItem(sK54(sK58,sK59))
| ~ spl60_2 ),
inference(resolution,[],[f502,f566]) ).
fof(f605,plain,
( sK59 = app(sK55(sK58,sK59),cons(sK54(sK58,sK59),nil))
| ~ spl60_2 ),
inference(resolution,[],[f504,f566]) ).
fof(f606,plain,
( ssList(sK55(sK58,sK59))
| ~ spl60_2 ),
inference(resolution,[],[f503,f566]) ).
fof(f625,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,sK55(sK58,sK59)) = app(cons(X0,nil),sK55(sK58,sK59)) )
| ~ spl60_2 ),
inference(resolution,[],[f482,f606]) ).
fof(f628,plain,
( app(cons(sK54(sK58,sK59),nil),sK55(sK58,sK59)) = cons(sK54(sK58,sK59),sK55(sK58,sK59))
| ~ spl60_2 ),
inference(resolution,[],[f625,f604]) ).
fof(f630,plain,
( sK58 = cons(sK54(sK58,sK59),sK55(sK58,sK59))
| ~ spl60_2 ),
inference(forward_demodulation,[],[f628,f601]) ).
fof(f653,definition,
( spl60_12
<=> nil = sK58 ),
introduced(definition,[new_symbols(definition,[spl60_12])],[avatar_definition]) ).
fof(f654,plain,
( nil != sK58
| spl60_12 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f655,plain,
( nil = sK58
| ~ spl60_12 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f691,definition,
( spl60_18
<=> ssList(tl(sK58)) ),
introduced(definition,[new_symbols(definition,[spl60_18])],[avatar_definition]) ).
fof(f692,plain,
( ssList(tl(sK58))
| ~ spl60_18 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f693,plain,
( ~ ssList(tl(sK58))
| spl60_18 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f695,definition,
( spl60_19
<=> ssItem(hd(sK58)) ),
introduced(definition,[new_symbols(definition,[spl60_19])],[avatar_definition]) ).
fof(f696,plain,
( ssItem(hd(sK58))
| ~ spl60_19 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f755,definition,
( spl60_23
<=> ssList(cons(sK54(sK58,sK59),nil)) ),
introduced(definition,[new_symbols(definition,[spl60_23])],[avatar_definition]) ).
fof(f756,plain,
( ssList(cons(sK54(sK58,sK59),nil))
| ~ spl60_23 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f757,plain,
( ~ ssList(cons(sK54(sK58,sK59),nil))
| spl60_23 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f763,plain,
( ~ ssItem(sK54(sK58,sK59))
| ~ ssList(nil)
| spl60_23 ),
inference(resolution,[],[f757,f393]) ).
fof(f764,plain,
( ~ ssList(nil)
| ~ spl60_2
| spl60_23 ),
inference(forward_subsumption_resolution,[],[f763,f604]) ).
fof(f765,plain,
( $false
| ~ spl60_2
| ~ spl60_3
| spl60_23 ),
inference(forward_subsumption_resolution,[],[f764,f571]) ).
fof(f766,plain,
( ~ spl60_2
| ~ spl60_3
| spl60_23 ),
inference(avatar_contradiction_clause,[],[f765]) ).
fof(f798,plain,
( nil = sK58
| ~ ssList(sK58)
| spl60_18 ),
inference(resolution,[],[f693,f404]) ).
fof(f799,plain,
( nil = sK58
| spl60_18 ),
inference(forward_subsumption_resolution,[],[f798,f518]) ).
fof(f800,plain,
( spl60_12
| spl60_18 ),
inference(avatar_split_clause,[],[f799,f691,f653]) ).
fof(f836,plain,
( nil != sK58
| ~ ssItem(sK54(sK58,sK59))
| ~ ssList(sK55(sK58,sK59))
| ~ spl60_2 ),
inference(superposition,[],[f401,f630]) ).
fof(f840,plain,
( ~ ssItem(sK54(sK58,sK59))
| ~ ssList(sK55(sK58,sK59))
| ~ spl60_2
| ~ spl60_12 ),
inference(forward_subsumption_resolution,[],[f836,f655]) ).
fof(f842,plain,
( ~ ssList(sK55(sK58,sK59))
| ~ spl60_2
| ~ spl60_12 ),
inference(forward_subsumption_resolution,[],[f840,f604]) ).
fof(f844,plain,
( $false
| ~ spl60_2
| ~ spl60_12 ),
inference(forward_subsumption_resolution,[],[f842,f606]) ).
fof(f845,plain,
( ~ spl60_2
| ~ spl60_12 ),
inference(avatar_contradiction_clause,[],[f844]) ).
fof(f858,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK55(sK58,sK59))) = X0 )
| ~ spl60_2 ),
inference(resolution,[],[f403,f606]) ).
fof(f861,plain,
( sK54(sK58,sK59) = hd(cons(sK54(sK58,sK59),sK55(sK58,sK59)))
| ~ spl60_2 ),
inference(resolution,[],[f858,f604]) ).
fof(f863,plain,
( sK54(sK58,sK59) = hd(sK58)
| ~ spl60_2 ),
inference(forward_demodulation,[],[f861,f630]) ).
fof(f865,plain,
( ssItem(hd(sK58))
| ~ spl60_2 ),
inference(superposition,[],[f604,f863]) ).
fof(f866,plain,
( sK59 = app(sK55(sK58,sK59),cons(hd(sK58),nil))
| ~ spl60_2 ),
inference(superposition,[],[f605,f863]) ).
fof(f867,plain,
( sK58 = cons(hd(sK58),sK55(sK58,sK59))
| ~ spl60_2 ),
inference(superposition,[],[f630,f863]) ).
fof(f869,plain,
( ssList(cons(hd(sK58),nil))
| ~ spl60_2
| ~ spl60_23 ),
inference(superposition,[],[f756,f863]) ).
fof(f871,plain,
( spl60_19
| ~ spl60_2 ),
inference(avatar_split_clause,[],[f865,f564,f695]) ).
fof(f920,plain,
( ! [X0] :
( ~ ssItem(X0)
| sK55(sK58,sK59) = tl(cons(X0,sK55(sK58,sK59))) )
| ~ spl60_2 ),
inference(resolution,[],[f405,f606]) ).
fof(f927,plain,
( sK55(sK58,sK59) = tl(cons(hd(sK58),sK55(sK58,sK59)))
| ~ spl60_2
| ~ spl60_19 ),
inference(resolution,[],[f920,f696]) ).
fof(f928,plain,
( sK55(sK58,sK59) = tl(sK58)
| ~ spl60_2
| ~ spl60_19 ),
inference(forward_demodulation,[],[f927,f867]) ).
fof(f939,plain,
( sK59 = app(tl(sK58),cons(hd(sK58),nil))
| ~ spl60_2
| ~ spl60_19 ),
inference(superposition,[],[f866,f928]) ).
fof(f944,plain,
( ! [X0,X1] :
( ~ sP6(sK59,X0,X1,sK58)
| ~ ssList(tl(sK58))
| ~ ssList(cons(hd(sK58),nil))
| ~ ssItem(hd(sK58))
| ~ neq(nil,sK58)
| ~ neq(sK58,nil)
| ~ ssList(sK59) )
| ~ spl60_2
| ~ spl60_19 ),
inference(superposition,[],[f551,f939]) ).
fof(f946,plain,
( ! [X0,X1] :
( ~ sP6(sK59,X0,X1,sK58)
| ~ ssList(cons(hd(sK58),nil))
| ~ ssItem(hd(sK58))
| ~ neq(nil,sK58)
| ~ neq(sK58,nil)
| ~ ssList(sK59) )
| ~ spl60_2
| ~ spl60_18
| ~ spl60_19 ),
inference(forward_subsumption_resolution,[],[f944,f692]) ).
fof(f947,plain,
( ! [X0,X1] :
( ~ sP6(sK59,X0,X1,sK58)
| ~ ssItem(hd(sK58))
| ~ neq(nil,sK58)
| ~ neq(sK58,nil)
| ~ ssList(sK59) )
| ~ spl60_2
| ~ spl60_18
| ~ spl60_19
| ~ spl60_23 ),
inference(forward_subsumption_resolution,[],[f946,f869]) ).
fof(f948,plain,
( ! [X0,X1] :
( ~ sP6(sK59,X0,X1,sK58)
| ~ neq(nil,sK58)
| ~ neq(sK58,nil)
| ~ ssList(sK59) )
| ~ spl60_2
| ~ spl60_18
| ~ spl60_19
| ~ spl60_23 ),
inference(forward_subsumption_resolution,[],[f947,f696]) ).
fof(f949,plain,
( ! [X0,X1] :
( ~ sP6(sK59,X0,X1,sK58)
| ~ neq(nil,sK58)
| ~ neq(sK58,nil) )
| ~ spl60_2
| ~ spl60_18
| ~ spl60_19
| ~ spl60_23 ),
inference(forward_subsumption_resolution,[],[f948,f517]) ).
fof(f951,definition,
( spl60_33
<=> neq(sK58,nil) ),
introduced(definition,[new_symbols(definition,[spl60_33])],[avatar_definition]) ).
fof(f953,plain,
( ~ neq(sK58,nil)
| spl60_33 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f955,definition,
( spl60_34
<=> neq(nil,sK58) ),
introduced(definition,[new_symbols(definition,[spl60_34])],[avatar_definition]) ).
fof(f957,plain,
( ~ neq(nil,sK58)
| spl60_34 ),
inference(avatar_component_clause,[],[f955]) ).
fof(f959,definition,
( spl60_35
<=> ! [X0,X1] : ~ sP6(sK59,X0,X1,sK58) ),
introduced(definition,[new_symbols(definition,[spl60_35])],[avatar_definition]) ).
fof(f960,plain,
( ! [X0,X1] : ~ sP6(sK59,X0,X1,sK58)
| ~ spl60_35 ),
inference(avatar_component_clause,[],[f959]) ).
fof(f961,plain,
( ~ spl60_33
| ~ spl60_34
| spl60_35
| ~ spl60_2
| ~ spl60_18
| ~ spl60_19
| ~ spl60_23 ),
inference(avatar_split_clause,[],[f949,f755,f695,f691,f564,f959,f955,f951]) ).
fof(f963,plain,
( nil = sK58
| ~ ssList(nil)
| ~ ssList(sK58)
| spl60_33 ),
inference(resolution,[],[f953,f392]) ).
fof(f964,plain,
( ~ ssList(nil)
| ~ ssList(sK58)
| spl60_12
| spl60_33 ),
inference(forward_subsumption_resolution,[],[f963,f654]) ).
fof(f965,plain,
( ~ ssList(sK58)
| ~ spl60_3
| spl60_12
| spl60_33 ),
inference(forward_subsumption_resolution,[],[f964,f571]) ).
fof(f966,plain,
( $false
| ~ spl60_3
| spl60_12
| spl60_33 ),
inference(forward_subsumption_resolution,[],[f965,f518]) ).
fof(f967,plain,
( ~ spl60_3
| spl60_12
| spl60_33 ),
inference(avatar_contradiction_clause,[],[f966]) ).
fof(f968,plain,
( nil = sK58
| ~ ssList(sK58)
| ~ ssList(nil)
| spl60_34 ),
inference(resolution,[],[f957,f392]) ).
fof(f969,plain,
( ~ ssList(sK58)
| ~ ssList(nil)
| spl60_12
| spl60_34 ),
inference(forward_subsumption_resolution,[],[f968,f654]) ).
fof(f970,plain,
( ~ ssList(nil)
| spl60_12
| spl60_34 ),
inference(forward_subsumption_resolution,[],[f969,f518]) ).
fof(f971,plain,
( $false
| ~ spl60_3
| spl60_12
| spl60_34 ),
inference(forward_subsumption_resolution,[],[f970,f571]) ).
fof(f972,plain,
( ~ spl60_3
| spl60_12
| spl60_34 ),
inference(avatar_contradiction_clause,[],[f971]) ).
fof(f973,plain,
( $false
| ~ spl60_2
| ~ spl60_35 ),
inference(resolution,[],[f960,f566]) ).
fof(f974,plain,
( ~ spl60_2
| ~ spl60_35 ),
inference(avatar_contradiction_clause,[],[f973]) ).
cnf(s1,plain,
( ~ spl60_1
| spl60_2 ),
inference(sat_conversion,[],[f567]) ).
cnf(s2,plain,
( spl60_1
| spl60_2 ),
inference(sat_conversion,[],[f568]) ).
cnf(s10,plain,
spl60_3,
inference(sat_conversion,[],[f598]) ).
cnf(s11,plain,
( spl60_1
| ~ spl60_2 ),
inference(sat_conversion,[],[f603]) ).
cnf(s21,plain,
( ~ spl60_2
| ~ spl60_3
| spl60_23 ),
inference(sat_conversion,[],[f766]) ).
cnf(s24,plain,
( spl60_12
| spl60_18 ),
inference(sat_conversion,[],[f800]) ).
cnf(s26,plain,
( ~ spl60_2
| ~ spl60_12 ),
inference(sat_conversion,[],[f845]) ).
cnf(s27,plain,
( ~ spl60_2
| spl60_19 ),
inference(sat_conversion,[],[f871]) ).
cnf(s29,plain,
( ~ spl60_2
| ~ spl60_18
| ~ spl60_19
| ~ spl60_23
| ~ spl60_33
| ~ spl60_34
| spl60_35 ),
inference(sat_conversion,[],[f961]) ).
cnf(s30,plain,
( ~ spl60_3
| spl60_12
| spl60_33 ),
inference(sat_conversion,[],[f967]) ).
cnf(s31,plain,
( ~ spl60_3
| spl60_12
| spl60_34 ),
inference(sat_conversion,[],[f972]) ).
cnf(s32,plain,
( ~ spl60_2
| ~ spl60_35 ),
inference(sat_conversion,[],[f974]) ).
cnf(s36,plain,
spl60_1,
inference(rat,[],[s2,s11]) ).
cnf(s38,plain,
spl60_2,
inference(rat,[],[s1,s36]) ).
cnf(s41,plain,
~ spl60_35,
inference(rat,[],[s32,s38]) ).
cnf(s42,plain,
spl60_19,
inference(rat,[],[s27,s38]) ).
cnf(s43,plain,
~ spl60_12,
inference(rat,[],[s26,s38]) ).
cnf(s44,plain,
spl60_23,
inference(rat,[],[s21,s10,s38]) ).
cnf(s46,plain,
spl60_34,
inference(rat,[],[s31,s10,s43]) ).
cnf(s47,plain,
spl60_33,
inference(rat,[],[s30,s10,s43]) ).
cnf(s48,plain,
spl60_18,
inference(rat,[],[s24,s43]) ).
cnf(s50,plain,
$false,
inference(rat,[],[s29,s41,s46,s42,s44,s38,s47,s48]) ).
fof(f975,plain,
$false,
inference(avatar_sat_refutation,[],[s50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC316+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n003.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 09:03:12 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 4.56/1.38 % (1447906)Detected formulas, will run a generic FOF schedule.
% 4.56/1.38 % (1447911)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=122979365:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.56/1.38 % (1447912)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=2111430750:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.56/1.38 % (1447913)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=1193345925:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.56/1.38 % (1447914)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4139912332:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.56/1.38 % (1447916)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2167303172:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.56/1.38 % (1447915)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3498180604:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.56/1.38 % (1447917)dis-21_1_sil=8000:lcm=predicate:random_seed=2194994941: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)
% 4.56/1.38 % (1447915)Instruction limit reached!
% 4.56/1.38 % (1447915)------------------------------
% 4.56/1.38 % (1447915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.38 % (1447915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.38 % (1447915)CaDiCaL version: 2.1.3
% 4.56/1.38 % (1447915)Termination reason: Instruction limit
% 4.56/1.38 % (1447915)Termination phase: Saturation
% 4.56/1.38 % (1447915)Time elapsed: 0.066 s
% 4.56/1.38 % (1447915)Peak memory usage: 88 MB
% 4.56/1.38 % (1447915)Instructions burned: 119 (million)
% 4.56/1.38 % (1447914)Instruction limit reached!
% 4.56/1.38 % (1447914)------------------------------
% 4.56/1.38 % (1447914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.38 % (1447914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.38 % (1447914)CaDiCaL version: 2.1.3
% 4.56/1.38 % (1447914)Termination reason: Instruction limit
% 4.56/1.38 % (1447914)Termination phase: Saturation
% 4.56/1.38 % (1447914)Time elapsed: 0.069 s
% 4.56/1.38 % (1447914)Peak memory usage: 89 MB
% 4.56/1.38 % (1447914)Instructions burned: 110 (million)
% 4.56/1.38 % (1447917)Instruction limit reached!
% 4.56/1.38 % (1447917)------------------------------
% 4.56/1.38 % (1447917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.38 % (1447917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.38 % (1447917)CaDiCaL version: 2.1.3
% 4.56/1.38 % (1447917)Termination reason: Instruction limit
% 4.56/1.38 % (1447917)Termination phase: Saturation
% 4.56/1.38 % (1447917)Time elapsed: 0.073 s
% 4.56/1.38 % (1447917)Peak memory usage: 90 MB
% 4.56/1.38 % (1447917)Instructions burned: 131 (million)
% 4.56/1.38 % (1447916)Instruction limit reached!
% 4.56/1.38 % (1447916)------------------------------
% 4.56/1.38 % (1447916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.38 % (1447916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.38 % (1447916)CaDiCaL version: 2.1.3
% 4.56/1.38 % (1447916)Termination reason: Instruction limit
% 4.56/1.38 % (1447916)Termination phase: Saturation
% 4.56/1.38 % (1447916)Time elapsed: 0.089 s
% 4.56/1.38 % (1447916)Peak memory usage: 90 MB
% 4.56/1.38 % (1447916)Instructions burned: 139 (million)
% 4.56/1.38 % (1447925)lrs+10_1_sil=8000:sp=occurrence:random_seed=2489904131:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.56/1.38 % (1447927)lrs+1011_1_sil=32000:sp=occurrence:random_seed=58450365:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.56/1.38 % (1447926)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3806995457:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.56/1.38 % (1447928)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=4107043003:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.56/1.38 % (1447926)Instruction limit reached!
% 4.56/1.38 % (1447926)------------------------------
% 4.56/1.38 % (1447926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.38 % (1447926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.38 % (1447926)CaDiCaL version: 2.1.3
% 4.56/1.38 % (1447926)Termination reason: Instruction limit
% 4.56/1.38 % (1447926)Termination phase: Saturation
% 4.56/1.38 % (1447926)Time elapsed: 0.075 s
% 4.56/1.38 % (1447926)Peak memory usage: 92 MB
% 4.56/1.38 % (1447926)Instructions burned: 159 (million)
% 4.56/1.38 % (1447911)First to succeed.
% 4.56/1.38 % (1447911)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1447906"
% 4.56/1.38 % (1447928)Instruction limit reached!
% 4.56/1.38 % (1447928)------------------------------
% 4.56/1.38 % (1447928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.38 % (1447928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.38 % (1447928)CaDiCaL version: 2.1.3
% 4.56/1.38 % (1447928)Termination reason: Instruction limit
% 4.56/1.38 % (1447928)Termination phase: Saturation
% 4.56/1.38 % (1447928)Time elapsed: 0.113 s
% 4.56/1.38 % (1447928)Peak memory usage: 94 MB
% 4.56/1.38 % (1447928)Instructions burned: 248 (million)
% 4.56/1.38 % (1447925)Instruction limit reached!
% 4.56/1.38 % (1447925)------------------------------
% 4.56/1.38 % (1447925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.38 % (1447925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.38 % (1447925)CaDiCaL version: 2.1.3
% 4.56/1.38 % (1447925)Termination reason: Instruction limit
% 4.56/1.38 % (1447925)Termination phase: Saturation
% 4.56/1.38 % (1447925)Time elapsed: 0.163 s
% 4.56/1.38 % (1447925)Peak memory usage: 92 MB
% 4.56/1.38 % (1447925)Instructions burned: 286 (million)
% 4.56/1.38 % (1447927)Instruction limit reached!
% 4.56/1.38 % (1447927)------------------------------
% 4.56/1.38 % (1447927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.38 % (1447927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.38 % (1447927)CaDiCaL version: 2.1.3
% 4.56/1.38 % (1447927)Termination reason: Instruction limit
% 4.56/1.38 % (1447927)Termination phase: Saturation
% 4.56/1.38 % (1447927)Time elapsed: 0.197 s
% 4.56/1.38 % (1447927)Peak memory usage: 92 MB
% 4.56/1.38 % (1447927)Instructions burned: 325 (million)
% 4.56/1.38 % (1447933)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2127493153:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.56/1.38 % (1447933)Refutation not found, incomplete strategy
% 4.56/1.38 % (1447933)------------------------------
% 4.56/1.38 % (1447933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.38 % (1447933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.38 % (1447933)CaDiCaL version: 2.1.3
% 4.56/1.38 % (1447933)Termination reason: Refutation not found, incomplete strategy
% 4.56/1.38 % (1447933)Time elapsed: 0.006 s
% 4.56/1.38 % (1447933)Peak memory usage: 88 MB
% 4.56/1.38 % (1447933)Instructions burned: 8 (million)
% 4.56/1.38 % (1447934)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=272212902:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.56/1.38 % (1447911)Refutation found. Thanks to Tanya!
% 4.56/1.38 % SZS status Theorem for theBenchmark
% 4.56/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 5.53/1.56 % (1447911)------------------------------
% 5.53/1.56 % (1447911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.56 % (1447911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.56 % (1447911)CaDiCaL version: 2.1.3
% 5.53/1.56 % (1447911)Termination reason: Refutation
% 5.53/1.56 % (1447911)Time elapsed: 0.404 s
% 5.53/1.56 % (1447911)Peak memory usage: 132 MB
% 5.53/1.56 % (1447911)Instructions burned: 1057 (million)
% 5.53/1.56 % (1447911)------------------------------
% 5.53/1.56 % (1447911)------------------------------
% 5.53/1.56 % (1447906)Success in time 0.701 s
% 5.53/1.56 % Vampire exiting
%------------------------------------------------------------------------------