%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC192+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 : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:02:52 PM UTC 2026
% Result : Theorem 3.52s 1.44s
% Output : Refutation 4.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 24
% Syntax : Number of formulae : 184 ( 29 unt; 14 def)
% Number of atoms : 703 ( 106 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 903 ( 384 ~; 389 |; 74 &)
% ( 20 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 13 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 142 ( 0 sgn 116 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
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(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ax37) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X1
& nil = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0
| X4 = X5 ) ) ) ) )
| ( ! [X8] :
( ssItem(X8)
=> ( cons(X8,nil) != X2
| ~ memberP(X3,X8) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ) ),
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
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0
| X4 = X5 ) ) ) ) )
| ( ! [X8] :
( ssItem(X8)
=> ( cons(X8,nil) != X2
| ~ memberP(X3,X8) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& X4 != X5
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ( ? [X8] :
( cons(X8,nil) = X2
& memberP(X3,X8)
& ssItem(X8) )
| ( nil = X3
& 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] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& X4 != X5
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ( ? [X8] :
( cons(X8,nil) = X2
& memberP(X3,X8)
& ssItem(X8) )
| ( nil = X3
& 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(f108,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X1
& nil = X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f118,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f119,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(f120,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(f121,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f122,plain,
( sK1 = sK3
& sK0 = sK2
& sK0 = app(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)),sK7)
& sK4 != sK5
& ssList(sK7)
& ssList(sK6)
& ssItem(sK5)
& ssItem(sK4)
& ( ( sK2 = cons(sK8,nil)
& memberP(sK3,sK8)
& ssItem(sK8) )
| ( nil = sK3
& nil = sK2 ) )
& ssList(sK3)
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8)],[f99]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X1
| nil != X0 )
& ( ( nil = X1
& nil = X0 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f108]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X1
| nil != X0 )
& ( ( nil = X1
& nil = X0 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f125]) ).
fof(f127,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,[],[f119]) ).
fof(f128,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,[],[f127]) ).
fof(f129,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,[],[f120]) ).
fof(f130,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,[],[f129]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 ) ) )
& ( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f121]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 ) ) )
& ( ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(X4,cons(X1,X5)) = X0 ) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f131]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 ) ) )
& ( ( ssList(sK13(X0,X1))
& ssList(sK14(X0,X1))
& app(sK13(X0,X1),cons(X1,sK14(X0,X1))) = X0 )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X4,sK13(X0,X1)),skolemize(X5,sK14(X0,X1))],[f132]) ).
fof(f138,plain,
( ssItem(sK8)
| nil = sK2 ),
inference(cnf_transformation,[],[f122]) ).
fof(f142,plain,
( sK2 = cons(sK8,nil)
| nil = sK2 ),
inference(cnf_transformation,[],[f122]) ).
fof(f144,plain,
ssItem(sK4),
inference(cnf_transformation,[],[f122]) ).
fof(f145,plain,
ssItem(sK5),
inference(cnf_transformation,[],[f122]) ).
fof(f146,plain,
ssList(sK6),
inference(cnf_transformation,[],[f122]) ).
fof(f147,plain,
ssList(sK7),
inference(cnf_transformation,[],[f122]) ).
fof(f148,plain,
sK4 != sK5,
inference(cnf_transformation,[],[f122]) ).
fof(f149,plain,
sK0 = app(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)),sK7),
inference(cnf_transformation,[],[f122]) ).
fof(f150,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f122]) ).
fof(f162,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f164,plain,
! [X0,X1] :
( nil = X0
| nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f167,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f173,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f174,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f175,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f176,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| memberP(X2,X0)
| X0 = X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f181,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f185,plain,
! [X2,X3,X0,X1] :
( memberP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f186,plain,
sK2 = app(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)),sK7),
inference(definition_unfolding,[],[f149,f150]) ).
fof(f189,definition,
~ sP15(sK4),
introduced(definition,[new_symbols(definition,[sP15])],[inequality_splitting_name_introduction]) ).
fof(f190,plain,
sP15(sK5),
inference(inequality_splitting,[],[f148,f189]) ).
fof(f200,definition,
~ sP21(nil),
introduced(definition,[new_symbols(definition,[sP21])],[inequality_splitting_name_introduction]) ).
fof(f201,plain,
! [X0,X1] :
( sP21(app(X0,X1))
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(inequality_splitting,[],[f164,f200]) ).
fof(f203,plain,
! [X2,X3,X1] :
( memberP(app(X2,cons(X1,X3)),X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssList(app(X2,cons(X1,X3))) ),
inference(equality_resolution,[],[f185]) ).
fof(f206,definition,
( spl22_1
<=> nil = sK2 ),
introduced(definition,[new_symbols(definition,[spl22_1])],[avatar_definition]) ).
fof(f208,plain,
( nil = sK2
| ~ spl22_1 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f210,definition,
( spl22_2
<=> ssItem(sK8) ),
introduced(definition,[new_symbols(definition,[spl22_2])],[avatar_definition]) ).
fof(f212,plain,
( ssItem(sK8)
| ~ spl22_2 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f213,plain,
( spl22_1
| spl22_2 ),
inference(avatar_split_clause,[],[f138,f210,f206]) ).
fof(f226,definition,
( spl22_5
<=> sK2 = cons(sK8,nil) ),
introduced(definition,[new_symbols(definition,[spl22_5])],[avatar_definition]) ).
fof(f228,plain,
( sK2 = cons(sK8,nil)
| ~ spl22_5 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f229,plain,
( spl22_1
| spl22_5 ),
inference(avatar_split_clause,[],[f142,f226,f206]) ).
fof(f236,plain,
( sK2 = app(app(sK6,cons(sK4,nil)),app(cons(sK5,nil),sK7))
| ~ ssList(sK7)
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(sK6,cons(sK4,nil))) ),
inference(superposition,[],[f186,f167]) ).
fof(f248,plain,
! [X0] :
( memberP(sK2,X0)
| ~ memberP(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)),X0)
| ~ ssList(sK7)
| ~ ssList(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)))
| ~ ssItem(X0) ),
inference(superposition,[],[f181,f186]) ).
fof(f251,plain,
( sP21(sK2)
| nil = app(app(sK6,cons(sK4,nil)),cons(sK5,nil))
| ~ ssList(sK7)
| ~ ssList(app(app(sK6,cons(sK4,nil)),cons(sK5,nil))) ),
inference(superposition,[],[f201,f186]) ).
fof(f252,plain,
( sP21(sK2)
| nil = app(app(sK6,cons(sK4,nil)),cons(sK5,nil))
| ~ ssList(app(app(sK6,cons(sK4,nil)),cons(sK5,nil))) ),
inference(forward_subsumption_resolution,[],[f251,f147]) ).
fof(f255,plain,
! [X0] :
( memberP(sK2,X0)
| ~ memberP(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)),X0)
| ~ ssList(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)))
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f248,f147]) ).
fof(f266,plain,
( sK2 = app(app(sK6,cons(sK4,nil)),app(cons(sK5,nil),sK7))
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(sK6,cons(sK4,nil))) ),
inference(forward_subsumption_resolution,[],[f236,f147]) ).
fof(f274,plain,
( ! [X0] :
( memberP(cons(sK8,nil),X0)
| ~ memberP(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)),X0)
| ~ ssList(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)))
| ~ ssItem(X0) )
| ~ spl22_5 ),
inference(forward_demodulation,[],[f255,f228]) ).
fof(f285,plain,
( cons(sK8,nil) = app(app(sK6,cons(sK4,nil)),app(cons(sK5,nil),sK7))
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl22_5 ),
inference(forward_demodulation,[],[f266,f228]) ).
fof(f287,definition,
( spl22_6
<=> ssList(app(sK6,cons(sK4,nil))) ),
introduced(definition,[new_symbols(definition,[spl22_6])],[avatar_definition]) ).
fof(f288,plain,
( ssList(app(sK6,cons(sK4,nil)))
| ~ spl22_6 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f289,plain,
( ~ ssList(app(sK6,cons(sK4,nil)))
| spl22_6 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f291,definition,
( spl22_7
<=> ssList(cons(sK5,nil)) ),
introduced(definition,[new_symbols(definition,[spl22_7])],[avatar_definition]) ).
fof(f292,plain,
( ssList(cons(sK5,nil))
| ~ spl22_7 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f293,plain,
( ~ ssList(cons(sK5,nil))
| spl22_7 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f310,definition,
( spl22_11
<=> ssList(app(app(sK6,cons(sK4,nil)),cons(sK5,nil))) ),
introduced(definition,[new_symbols(definition,[spl22_11])],[avatar_definition]) ).
fof(f311,plain,
( ssList(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)))
| ~ spl22_11 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f312,plain,
( ~ ssList(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)))
| spl22_11 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f314,definition,
( spl22_12
<=> nil = app(app(sK6,cons(sK4,nil)),cons(sK5,nil)) ),
introduced(definition,[new_symbols(definition,[spl22_12])],[avatar_definition]) ).
fof(f315,plain,
( nil != app(app(sK6,cons(sK4,nil)),cons(sK5,nil))
| spl22_12 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f316,plain,
( nil = app(app(sK6,cons(sK4,nil)),cons(sK5,nil))
| ~ spl22_12 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f345,definition,
( spl22_19
<=> ! [X0] :
( memberP(cons(sK8,nil),X0)
| ~ ssItem(X0)
| ~ memberP(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl22_19])],[avatar_definition]) ).
fof(f346,plain,
( ! [X0] :
( ~ memberP(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)),X0)
| ~ ssItem(X0)
| memberP(cons(sK8,nil),X0) )
| ~ spl22_19 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f347,plain,
( ~ spl22_11
| spl22_19
| ~ spl22_5 ),
inference(avatar_split_clause,[],[f274,f226,f345,f310]) ).
fof(f375,definition,
( spl22_26
<=> cons(sK8,nil) = app(app(sK6,cons(sK4,nil)),app(cons(sK5,nil),sK7)) ),
introduced(definition,[new_symbols(definition,[spl22_26])],[avatar_definition]) ).
fof(f377,plain,
( cons(sK8,nil) = app(app(sK6,cons(sK4,nil)),app(cons(sK5,nil),sK7))
| ~ spl22_26 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f380,plain,
( ~ spl22_6
| ~ spl22_7
| spl22_26
| ~ spl22_5 ),
inference(avatar_split_clause,[],[f285,f226,f375,f291,f287]) ).
fof(f382,definition,
( spl22_27
<=> ssList(cons(sK4,nil)) ),
introduced(definition,[new_symbols(definition,[spl22_27])],[avatar_definition]) ).
fof(f383,plain,
( ssList(cons(sK4,nil))
| ~ spl22_27 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f384,plain,
( ~ ssList(cons(sK4,nil))
| spl22_27 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f404,plain,
( ~ ssItem(sK5)
| ~ ssList(nil)
| spl22_7 ),
inference(resolution,[],[f293,f162]) ).
fof(f406,plain,
( ~ ssList(nil)
| spl22_7 ),
inference(forward_subsumption_resolution,[],[f404,f145]) ).
fof(f407,plain,
( $false
| spl22_7 ),
inference(forward_subsumption_resolution,[],[f406,f174]) ).
fof(f408,plain,
spl22_7,
inference(avatar_contradiction_clause,[],[f407]) ).
fof(f410,plain,
( ~ ssItem(sK4)
| ~ ssList(nil)
| spl22_27 ),
inference(resolution,[],[f384,f162]) ).
fof(f412,plain,
( ~ ssList(nil)
| spl22_27 ),
inference(forward_subsumption_resolution,[],[f410,f144]) ).
fof(f413,plain,
( $false
| spl22_27 ),
inference(forward_subsumption_resolution,[],[f412,f174]) ).
fof(f414,plain,
spl22_27,
inference(avatar_contradiction_clause,[],[f413]) ).
fof(f416,plain,
( ~ ssList(cons(sK4,nil))
| ~ ssList(sK6)
| spl22_6 ),
inference(resolution,[],[f289,f173]) ).
fof(f419,plain,
( ~ ssList(sK6)
| spl22_6
| ~ spl22_27 ),
inference(forward_subsumption_resolution,[],[f416,f383]) ).
fof(f420,plain,
( $false
| spl22_6
| ~ spl22_27 ),
inference(forward_subsumption_resolution,[],[f419,f146]) ).
fof(f421,plain,
( spl22_6
| ~ spl22_27 ),
inference(avatar_contradiction_clause,[],[f420]) ).
fof(f425,plain,
( ~ ssList(cons(sK5,nil))
| ~ ssList(app(sK6,cons(sK4,nil)))
| spl22_11 ),
inference(resolution,[],[f312,f173]) ).
fof(f431,plain,
( ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl22_7
| spl22_11 ),
inference(forward_subsumption_resolution,[],[f425,f292]) ).
fof(f433,plain,
( $false
| ~ spl22_6
| ~ spl22_7
| spl22_11 ),
inference(forward_subsumption_resolution,[],[f431,f288]) ).
fof(f434,plain,
( ~ spl22_6
| ~ spl22_7
| spl22_11 ),
inference(avatar_contradiction_clause,[],[f433]) ).
fof(f504,plain,
( ! [X0] :
( memberP(cons(sK8,nil),X0)
| ~ memberP(app(sK6,cons(sK4,nil)),X0)
| ~ ssList(app(cons(sK5,nil),sK7))
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ ssItem(X0) )
| ~ spl22_26 ),
inference(superposition,[],[f181,f377]) ).
fof(f510,plain,
( ! [X0] :
( memberP(cons(sK8,nil),X0)
| ~ memberP(app(sK6,cons(sK4,nil)),X0)
| ~ ssList(app(cons(sK5,nil),sK7))
| ~ ssItem(X0) )
| ~ spl22_6
| ~ spl22_26 ),
inference(forward_subsumption_resolution,[],[f504,f288]) ).
fof(f542,definition,
( spl22_32
<=> ! [X0] :
( memberP(cons(sK8,nil),X0)
| ~ ssItem(X0)
| ~ memberP(app(sK6,cons(sK4,nil)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl22_32])],[avatar_definition]) ).
fof(f543,plain,
( ! [X0] :
( ~ memberP(app(sK6,cons(sK4,nil)),X0)
| ~ ssItem(X0)
| memberP(cons(sK8,nil),X0) )
| ~ spl22_32 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f617,definition,
( spl22_45
<=> ssList(app(cons(sK5,nil),sK7)) ),
introduced(definition,[new_symbols(definition,[spl22_45])],[avatar_definition]) ).
fof(f619,plain,
( ~ ssList(app(cons(sK5,nil),sK7))
| spl22_45 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f625,plain,
( ~ spl22_45
| spl22_32
| ~ spl22_6
| ~ spl22_26 ),
inference(avatar_split_clause,[],[f510,f375,f287,f542,f617]) ).
fof(f667,plain,
( ~ ssList(sK7)
| ~ ssList(cons(sK5,nil))
| spl22_45 ),
inference(resolution,[],[f619,f173]) ).
fof(f670,plain,
( ~ ssList(cons(sK5,nil))
| spl22_45 ),
inference(forward_subsumption_resolution,[],[f667,f147]) ).
fof(f671,plain,
( $false
| ~ spl22_7
| spl22_45 ),
inference(forward_subsumption_resolution,[],[f670,f292]) ).
fof(f672,plain,
( ~ spl22_7
| spl22_45 ),
inference(avatar_contradiction_clause,[],[f671]) ).
fof(f728,plain,
( ~ ssItem(sK5)
| memberP(cons(sK8,nil),sK5)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ ssList(nil)
| ~ ssItem(sK5)
| ~ ssList(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)))
| ~ spl22_19 ),
inference(resolution,[],[f346,f203]) ).
fof(f733,plain,
( ~ ssItem(sK5)
| memberP(cons(sK8,nil),sK5)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ ssList(nil)
| ~ ssList(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)))
| ~ spl22_19 ),
inference(duplicate_literal_removal,[],[f728]) ).
fof(f736,plain,
( memberP(cons(sK8,nil),sK5)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ ssList(nil)
| ~ ssList(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)))
| ~ spl22_19 ),
inference(forward_subsumption_resolution,[],[f733,f145]) ).
fof(f738,plain,
( memberP(cons(sK8,nil),sK5)
| ~ ssList(nil)
| ~ ssList(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)))
| ~ spl22_6
| ~ spl22_19 ),
inference(forward_subsumption_resolution,[],[f736,f288]) ).
fof(f740,plain,
( memberP(cons(sK8,nil),sK5)
| ~ ssList(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)))
| ~ spl22_6
| ~ spl22_19 ),
inference(forward_subsumption_resolution,[],[f738,f174]) ).
fof(f741,plain,
( memberP(cons(sK8,nil),sK5)
| ~ spl22_6
| ~ spl22_11
| ~ spl22_19 ),
inference(forward_subsumption_resolution,[],[f740,f311]) ).
fof(f742,plain,
( memberP(nil,sK5)
| sK5 = sK8
| ~ ssList(nil)
| ~ ssItem(sK8)
| ~ ssItem(sK5)
| ~ spl22_6
| ~ spl22_11
| ~ spl22_19 ),
inference(resolution,[],[f741,f176]) ).
fof(f744,plain,
( sK5 = sK8
| ~ ssList(nil)
| ~ ssItem(sK8)
| ~ ssItem(sK5)
| ~ spl22_6
| ~ spl22_11
| ~ spl22_19 ),
inference(forward_subsumption_resolution,[],[f742,f175]) ).
fof(f745,plain,
( sK5 = sK8
| ~ ssItem(sK8)
| ~ ssItem(sK5)
| ~ spl22_6
| ~ spl22_11
| ~ spl22_19 ),
inference(forward_subsumption_resolution,[],[f744,f174]) ).
fof(f746,plain,
( sK5 = sK8
| ~ ssItem(sK5)
| ~ spl22_2
| ~ spl22_6
| ~ spl22_11
| ~ spl22_19 ),
inference(forward_subsumption_resolution,[],[f745,f212]) ).
fof(f747,plain,
( sK5 = sK8
| ~ spl22_2
| ~ spl22_6
| ~ spl22_11
| ~ spl22_19 ),
inference(forward_subsumption_resolution,[],[f746,f145]) ).
fof(f765,plain,
( sP15(sK8)
| ~ spl22_2
| ~ spl22_6
| ~ spl22_11
| ~ spl22_19 ),
inference(superposition,[],[f190,f747]) ).
fof(f1011,plain,
( sP21(sK2)
| ~ ssList(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)))
| spl22_12 ),
inference(forward_subsumption_resolution,[],[f252,f315]) ).
fof(f1033,plain,
( sP21(sK2)
| ~ spl22_11
| spl22_12 ),
inference(forward_subsumption_resolution,[],[f1011,f311]) ).
fof(f1052,plain,
( sP21(nil)
| ~ spl22_1
| ~ spl22_11
| spl22_12 ),
inference(forward_demodulation,[],[f1033,f208]) ).
fof(f1070,plain,
( $false
| ~ spl22_1
| ~ spl22_11
| spl22_12 ),
inference(forward_subsumption_resolution,[],[f1052,f200]) ).
fof(f1071,plain,
( ~ spl22_1
| ~ spl22_11
| spl22_12 ),
inference(avatar_contradiction_clause,[],[f1070]) ).
fof(f1467,plain,
( memberP(nil,sK5)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ ssList(nil)
| ~ ssItem(sK5)
| ~ ssList(nil)
| ~ spl22_12 ),
inference(superposition,[],[f203,f316]) ).
fof(f1480,plain,
( memberP(nil,sK5)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ ssList(nil)
| ~ ssItem(sK5)
| ~ spl22_12 ),
inference(duplicate_literal_removal,[],[f1467]) ).
fof(f1491,plain,
( ~ ssList(app(sK6,cons(sK4,nil)))
| ~ ssList(nil)
| ~ ssItem(sK5)
| ~ spl22_12 ),
inference(forward_subsumption_resolution,[],[f1480,f175]) ).
fof(f1507,plain,
( ~ ssList(nil)
| ~ ssItem(sK5)
| ~ spl22_6
| ~ spl22_12 ),
inference(forward_subsumption_resolution,[],[f1491,f288]) ).
fof(f1515,plain,
( ~ ssItem(sK5)
| ~ spl22_6
| ~ spl22_12 ),
inference(forward_subsumption_resolution,[],[f1507,f174]) ).
fof(f1520,plain,
( $false
| ~ spl22_6
| ~ spl22_12 ),
inference(forward_subsumption_resolution,[],[f1515,f145]) ).
fof(f1521,plain,
( ~ spl22_6
| ~ spl22_12 ),
inference(avatar_contradiction_clause,[],[f1520]) ).
fof(f2101,plain,
( ~ ssItem(sK4)
| memberP(cons(sK8,nil),sK4)
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssItem(sK4)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl22_32 ),
inference(resolution,[],[f543,f203]) ).
fof(f2104,plain,
( ~ ssItem(sK4)
| memberP(cons(sK8,nil),sK4)
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl22_32 ),
inference(duplicate_literal_removal,[],[f2101]) ).
fof(f2107,plain,
( memberP(cons(sK8,nil),sK4)
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl22_32 ),
inference(forward_subsumption_resolution,[],[f2104,f144]) ).
fof(f2110,plain,
( memberP(cons(sK8,nil),sK4)
| ~ ssList(nil)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl22_32 ),
inference(forward_subsumption_resolution,[],[f2107,f146]) ).
fof(f2113,plain,
( memberP(cons(sK8,nil),sK4)
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl22_32 ),
inference(forward_subsumption_resolution,[],[f2110,f174]) ).
fof(f2114,plain,
( memberP(cons(sK8,nil),sK4)
| ~ spl22_6
| ~ spl22_32 ),
inference(forward_subsumption_resolution,[],[f2113,f288]) ).
fof(f2115,plain,
( memberP(nil,sK4)
| sK4 = sK8
| ~ ssList(nil)
| ~ ssItem(sK8)
| ~ ssItem(sK4)
| ~ spl22_6
| ~ spl22_32 ),
inference(resolution,[],[f2114,f176]) ).
fof(f2117,plain,
( sK4 = sK8
| ~ ssList(nil)
| ~ ssItem(sK8)
| ~ ssItem(sK4)
| ~ spl22_6
| ~ spl22_32 ),
inference(forward_subsumption_resolution,[],[f2115,f175]) ).
fof(f2118,plain,
( sK4 = sK8
| ~ ssItem(sK8)
| ~ ssItem(sK4)
| ~ spl22_6
| ~ spl22_32 ),
inference(forward_subsumption_resolution,[],[f2117,f174]) ).
fof(f2119,plain,
( sK4 = sK8
| ~ ssItem(sK4)
| ~ spl22_2
| ~ spl22_6
| ~ spl22_32 ),
inference(forward_subsumption_resolution,[],[f2118,f212]) ).
fof(f2120,plain,
( sK4 = sK8
| ~ spl22_2
| ~ spl22_6
| ~ spl22_32 ),
inference(forward_subsumption_resolution,[],[f2119,f144]) ).
fof(f2131,plain,
( ~ sP15(sK8)
| ~ spl22_2
| ~ spl22_6
| ~ spl22_32 ),
inference(superposition,[],[f189,f2120]) ).
fof(f2164,plain,
( $false
| ~ spl22_2
| ~ spl22_6
| ~ spl22_11
| ~ spl22_19
| ~ spl22_32 ),
inference(forward_subsumption_resolution,[],[f2131,f765]) ).
fof(f2165,plain,
( ~ spl22_2
| ~ spl22_6
| ~ spl22_11
| ~ spl22_19
| ~ spl22_32 ),
inference(avatar_contradiction_clause,[],[f2164]) ).
cnf(s1,plain,
( spl22_1
| spl22_2 ),
inference(sat_conversion,[],[f213]) ).
cnf(s5,plain,
( spl22_1
| spl22_5 ),
inference(sat_conversion,[],[f229]) ).
cnf(s11,plain,
( ~ spl22_5
| ~ spl22_11
| spl22_19 ),
inference(sat_conversion,[],[f347]) ).
cnf(s22,plain,
( ~ spl22_5
| ~ spl22_6
| ~ spl22_7
| spl22_26 ),
inference(sat_conversion,[],[f380]) ).
cnf(s25,plain,
spl22_7,
inference(sat_conversion,[],[f408]) ).
cnf(s26,plain,
spl22_27,
inference(sat_conversion,[],[f414]) ).
cnf(s27,plain,
( spl22_6
| ~ spl22_27 ),
inference(sat_conversion,[],[f421]) ).
cnf(s28,plain,
( ~ spl22_6
| ~ spl22_7
| spl22_11 ),
inference(sat_conversion,[],[f434]) ).
cnf(s46,plain,
( ~ spl22_6
| ~ spl22_26
| spl22_32
| ~ spl22_45 ),
inference(sat_conversion,[],[f625]) ).
cnf(s59,plain,
( ~ spl22_7
| spl22_45 ),
inference(sat_conversion,[],[f672]) ).
cnf(s65,plain,
( ~ spl22_1
| ~ spl22_11
| spl22_12 ),
inference(sat_conversion,[],[f1071]) ).
cnf(s76,plain,
( ~ spl22_6
| ~ spl22_12 ),
inference(sat_conversion,[],[f1521]) ).
cnf(s79,plain,
( ~ spl22_2
| ~ spl22_6
| ~ spl22_11
| ~ spl22_19
| ~ spl22_32 ),
inference(sat_conversion,[],[f2165]) ).
cnf(s80,plain,
spl22_6,
inference(rat,[],[s27,s26]) ).
cnf(s81,plain,
~ spl22_12,
inference(rat,[],[s76,s80]) ).
cnf(s83,plain,
spl22_45,
inference(rat,[],[s59,s25]) ).
cnf(s84,plain,
spl22_11,
inference(rat,[],[s28,s80,s25]) ).
cnf(s85,plain,
~ spl22_1,
inference(rat,[],[s65,s81,s84]) ).
cnf(s88,plain,
( ~ spl22_5
| spl22_26 ),
inference(rat,[],[s22,s25,s80]) ).
cnf(s99,plain,
( ~ spl22_5
| spl22_19 ),
inference(rat,[],[s11,s84]) ).
cnf(s104,plain,
spl22_5,
inference(rat,[],[s5,s85]) ).
cnf(s106,plain,
spl22_26,
inference(rat,[],[s88,s104]) ).
cnf(s113,plain,
spl22_19,
inference(rat,[],[s99,s104]) ).
cnf(s123,plain,
spl22_32,
inference(rat,[],[s46,s83,s80,s106]) ).
cnf(s124,plain,
~ spl22_2,
inference(rat,[],[s79,s123,s84,s80,s113]) ).
cnf(s127,plain,
$false,
inference(rat,[],[s1,s124,s85]) ).
fof(f2168,plain,
$false,
inference(avatar_sat_refutation,[],[s127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC192+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n004.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 08:22:07 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 3.52/1.44 % (207037)Detected formulas, will run a generic FOF schedule.
% 3.52/1.44 % (207141)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=300900441:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.52/1.44 % (207139)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=3026747682:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.52/1.44 % (207138)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=1147837712:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.52/1.44 % (207144)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2306221112:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.52/1.44 % (207146)dis-21_1_sil=8000:lcm=predicate:random_seed=2275572831:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.52/1.44 % (207143)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=670014257:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.52/1.44 % (207142)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3807130481:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.52/1.44 % (207142)First to succeed.
% 3.52/1.44 % (207142)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-207037"
% 3.52/1.44 % (207143)Instruction limit reached!
% 3.52/1.44 % (207143)------------------------------
% 3.52/1.44 % (207143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.44 % (207143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.44 % (207143)CaDiCaL version: 2.1.3
% 3.52/1.44 % (207143)Termination reason: Instruction limit
% 3.52/1.44 % (207143)Termination phase: Saturation
% 3.52/1.44 % (207143)Time elapsed: 0.066 s
% 3.52/1.44 % (207143)Peak memory usage: 88 MB
% 3.52/1.44 % (207143)Instructions burned: 119 (million)
% 3.52/1.44 % (207146)Instruction limit reached!
% 3.52/1.44 % (207146)------------------------------
% 3.52/1.44 % (207146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.44 % (207146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.44 % (207146)CaDiCaL version: 2.1.3
% 3.52/1.44 % (207146)Termination reason: Instruction limit
% 3.52/1.44 % (207146)Termination phase: Saturation
% 3.52/1.44 % (207146)Time elapsed: 0.068 s
% 3.52/1.44 % (207146)Peak memory usage: 91 MB
% 3.52/1.44 % (207146)Instructions burned: 130 (million)
% 3.52/1.44 % (207144)Instruction limit reached!
% 3.52/1.44 % (207144)------------------------------
% 3.52/1.44 % (207144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.44 % (207144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.44 % (207144)CaDiCaL version: 2.1.3
% 3.52/1.44 % (207144)Termination reason: Instruction limit
% 3.52/1.44 % (207144)Termination phase: Saturation
% 3.52/1.44 % (207144)Time elapsed: 0.092 s
% 3.52/1.44 % (207144)Peak memory usage: 90 MB
% 3.52/1.44 % (207144)Instructions burned: 139 (million)
% 3.52/1.44 % (207156)lrs+10_1_sil=32000:urr=on:br=off:random_seed=822705180:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.52/1.44 % (207155)lrs+10_1_sil=8000:sp=occurrence:random_seed=1548282170:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.52/1.44 % (207161)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3500646236:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.52/1.44 % (207156)Instruction limit reached!
% 3.52/1.44 % (207156)------------------------------
% 3.52/1.44 % (207156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.44 % (207156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.44 % (207156)CaDiCaL version: 2.1.3
% 3.52/1.44 % (207156)Termination reason: Instruction limit
% 3.52/1.44 % (207156)Termination phase: Saturation
% 3.52/1.44 % (207156)Time elapsed: 0.076 s
% 3.52/1.44 % (207156)Peak memory usage: 93 MB
% 3.52/1.44 % (207156)Instructions burned: 158 (million)
% 3.52/1.44 % (207155)Instruction limit reached!
% 3.52/1.44 % (207155)------------------------------
% 3.52/1.44 % (207155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.44 % (207155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.44 % (207155)CaDiCaL version: 2.1.3
% 3.52/1.44 % (207155)Termination reason: Instruction limit
% 3.52/1.44 % (207155)Termination phase: Saturation
% 3.52/1.44 % (207155)Time elapsed: 0.167 s
% 3.52/1.44 % (207155)Peak memory usage: 92 MB
% 3.52/1.44 % (207155)Instructions burned: 286 (million)
% 3.52/1.44 % (207142)Refutation found. Thanks to Tanya!
% 3.52/1.44 % SZS status Theorem for theBenchmark
% 3.52/1.44 % SZS output start Proof for theBenchmark
% See solution above
% 4.50/1.54 % (207142)------------------------------
% 4.50/1.54 % (207142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.50/1.54 % (207142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.50/1.54 % (207142)CaDiCaL version: 2.1.3
% 4.50/1.54 % (207142)Termination reason: Refutation
% 4.50/1.54 % (207142)Time elapsed: 0.050 s
% 4.50/1.54 % (207142)Peak memory usage: 90 MB
% 4.50/1.54 % (207142)Instructions burned: 82 (million)
% 4.50/1.54 % (207142)------------------------------
% 4.50/1.54 % (207142)------------------------------
% 4.50/1.54 % (207037)Success in time 0.565 s
% 4.50/1.54 % Vampire exiting
%------------------------------------------------------------------------------