%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC300+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 : n018.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 01:03:21 PM UTC 2026
% Result : Theorem 6.50s 1.76s
% Output : Refutation 8.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 19
% Syntax : Number of formulae : 136 ( 29 unt; 9 def)
% Number of atoms : 476 ( 59 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 575 ( 235 ~; 227 |; 60 &)
% ( 12 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 16 ( 14 usr; 10 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-2 aty)
% Number of variables : 139 ( 0 sgn 111 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0] :
( ssList(X0)
=> ( totalorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> leq(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
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(f33,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
=> ~ lt(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
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(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(f90,axiom,
! [X0] :
( ssItem(X0)
=> ~ lt(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax90) ).
fof(f92,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( leq(X0,X1)
=> ( X0 = X1
| lt(X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax92) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ totalorderedP(X2)
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ( app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != X0
| ~ lt(X5,X4) ) ) ) ) ) ) ) ) ) ) ),
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
| ~ totalorderedP(X2)
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ( app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != X0
| ~ lt(X5,X4) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& totalorderedP(X2)
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = X0
& lt(X5,X4)
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& totalorderedP(X2)
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = X0
& lt(X5,X4)
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& 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(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(f110,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| lt(X0,X1)
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f92]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| lt(X0,X1)
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f119]) ).
fof(f123,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f126]) ).
fof(f130,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f131,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f130]) ).
fof(f132,plain,
( sK1 = sK3
& sK0 = sK2
& totalorderedP(sK2)
& sK0 = app(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK8)
& lt(sK5,sK4)
& ssList(sK8)
& ssList(sK7)
& ssList(sK6)
& ssItem(sK5)
& ssItem(sK4)
& 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(f141,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ totalorderedP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f131]) ).
fof(f142,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ totalorderedP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f141]) ).
fof(f143,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ( ~ leq(sK13(X0),sK14(X0))
& app(app(sK15(X0),cons(sK13(X0),sK16(X0))),cons(sK14(X0),sK17(X0))) = X0
& ssList(sK17(X0))
& ssList(sK16(X0))
& ssList(sK15(X0))
& ssItem(sK14(X0))
& ssItem(sK13(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ totalorderedP(X0) ) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17]),skolemize(X1,sK13(X0)),skolemize(X2,sK14(X0)),skolemize(X3,sK15(X0)),skolemize(X4,sK16(X0)),skolemize(X5,sK17(X0))],[f142]) ).
fof(f144,plain,
ssList(sK0),
inference(cnf_transformation,[],[f132]) ).
fof(f148,plain,
ssItem(sK4),
inference(cnf_transformation,[],[f132]) ).
fof(f149,plain,
ssItem(sK5),
inference(cnf_transformation,[],[f132]) ).
fof(f150,plain,
ssList(sK6),
inference(cnf_transformation,[],[f132]) ).
fof(f151,plain,
ssList(sK7),
inference(cnf_transformation,[],[f132]) ).
fof(f152,plain,
ssList(sK8),
inference(cnf_transformation,[],[f132]) ).
fof(f153,plain,
lt(sK5,sK4),
inference(cnf_transformation,[],[f132]) ).
fof(f154,plain,
sK0 = app(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK8),
inference(cnf_transformation,[],[f132]) ).
fof(f155,plain,
totalorderedP(sK2),
inference(cnf_transformation,[],[f132]) ).
fof(f156,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f132]) ).
fof(f168,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f173,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(f174,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f179,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f180,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f184,plain,
! [X0,X1] :
( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f186,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f188,plain,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f196,plain,
! [X10,X0,X8,X6,X9,X7] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f209,plain,
! [X10,X8,X6,X9,X7] :
( ~ totalorderedP(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| leq(X6,X7)
| ~ ssList(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f196]) ).
fof(f212,plain,
( ~ lt(sK4,sK5)
| ~ ssItem(sK5)
| ~ ssItem(sK4) ),
inference(resolution,[],[f153,f188]) ).
fof(f213,plain,
( ~ lt(sK4,sK5)
| ~ ssItem(sK4) ),
inference(forward_subsumption_resolution,[],[f212,f149]) ).
fof(f214,plain,
~ lt(sK4,sK5),
inference(forward_subsumption_resolution,[],[f213,f148]) ).
fof(f215,plain,
totalorderedP(sK0),
inference(superposition,[],[f155,f156]) ).
fof(f220,plain,
( sK4 = sK5
| ~ leq(sK4,sK5)
| ~ ssItem(sK5)
| ~ ssItem(sK4) ),
inference(resolution,[],[f214,f184]) ).
fof(f223,plain,
( sK4 = sK5
| ~ leq(sK4,sK5)
| ~ ssItem(sK4) ),
inference(forward_subsumption_resolution,[],[f220,f149]) ).
fof(f227,plain,
( sK4 = sK5
| ~ leq(sK4,sK5) ),
inference(forward_subsumption_resolution,[],[f223,f148]) ).
fof(f231,definition,
( spl18_1
<=> leq(sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl18_1])],[avatar_definition]) ).
fof(f232,plain,
( ~ leq(sK4,sK5)
| spl18_1 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f234,definition,
( spl18_2
<=> sK4 = sK5 ),
introduced(definition,[new_symbols(definition,[spl18_2])],[avatar_definition]) ).
fof(f235,plain,
( sK4 = sK5
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f237,plain,
( ~ spl18_1
| spl18_2 ),
inference(avatar_split_clause,[],[f227,f234,f231]) ).
fof(f238,plain,
( sK0 = app(app(app(sK6,app(cons(sK4,nil),sK7)),cons(sK5,nil)),sK8)
| ~ ssList(sK7)
| ~ ssList(cons(sK4,nil))
| ~ ssList(sK6) ),
inference(superposition,[],[f154,f173]) ).
fof(f260,plain,
( sK0 = app(app(app(sK6,app(cons(sK4,nil),sK7)),cons(sK5,nil)),sK8)
| ~ ssList(cons(sK4,nil))
| ~ ssList(sK6) ),
inference(forward_subsumption_resolution,[],[f238,f151]) ).
fof(f265,definition,
( spl18_4
<=> ssList(cons(sK5,nil)) ),
introduced(definition,[new_symbols(definition,[spl18_4])],[avatar_definition]) ).
fof(f266,plain,
( ~ ssList(cons(sK5,nil))
| spl18_4 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f307,plain,
( sK0 = app(app(app(sK6,app(cons(sK4,nil),sK7)),cons(sK5,nil)),sK8)
| ~ ssList(cons(sK4,nil)) ),
inference(forward_subsumption_resolution,[],[f260,f150]) ).
fof(f309,definition,
( spl18_15
<=> ssList(cons(sK4,nil)) ),
introduced(definition,[new_symbols(definition,[spl18_15])],[avatar_definition]) ).
fof(f310,plain,
( ~ ssList(cons(sK4,nil))
| spl18_15 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f312,definition,
( spl18_16
<=> sK0 = app(app(app(sK6,app(cons(sK4,nil),sK7)),cons(sK5,nil)),sK8) ),
introduced(definition,[new_symbols(definition,[spl18_16])],[avatar_definition]) ).
fof(f313,plain,
( sK0 = app(app(app(sK6,app(cons(sK4,nil),sK7)),cons(sK5,nil)),sK8)
| ~ spl18_16 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f314,plain,
( ~ spl18_15
| spl18_16 ),
inference(avatar_split_clause,[],[f307,f312,f309]) ).
fof(f316,plain,
( ~ ssItem(sK5)
| ~ ssList(nil)
| spl18_4 ),
inference(resolution,[],[f266,f168]) ).
fof(f317,plain,
( ~ ssList(nil)
| spl18_4 ),
inference(forward_subsumption_resolution,[],[f316,f149]) ).
fof(f318,plain,
( $false
| spl18_4 ),
inference(forward_subsumption_resolution,[],[f317,f180]) ).
fof(f319,plain,
spl18_4,
inference(avatar_contradiction_clause,[],[f318]) ).
fof(f320,plain,
( ~ ssItem(sK4)
| ~ ssList(nil)
| spl18_15 ),
inference(resolution,[],[f310,f168]) ).
fof(f321,plain,
( ~ ssList(nil)
| spl18_15 ),
inference(forward_subsumption_resolution,[],[f320,f148]) ).
fof(f322,plain,
( $false
| spl18_15 ),
inference(forward_subsumption_resolution,[],[f321,f180]) ).
fof(f323,plain,
spl18_15,
inference(avatar_contradiction_clause,[],[f322]) ).
fof(f334,definition,
( spl18_17
<=> ssList(app(sK6,app(cons(sK4,nil),sK7))) ),
introduced(definition,[new_symbols(definition,[spl18_17])],[avatar_definition]) ).
fof(f335,plain,
( ~ ssList(app(sK6,app(cons(sK4,nil),sK7)))
| spl18_17 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f397,definition,
( spl18_25
<=> sK0 = app(app(sK6,app(cons(sK4,nil),sK7)),app(cons(sK5,nil),sK8)) ),
introduced(definition,[new_symbols(definition,[spl18_25])],[avatar_definition]) ).
fof(f398,plain,
( sK0 = app(app(sK6,app(cons(sK4,nil),sK7)),app(cons(sK5,nil),sK8))
| ~ spl18_25 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f463,plain,
( sK0 = app(app(sK6,app(cons(sK4,nil),sK7)),app(cons(sK5,nil),sK8))
| ~ ssList(sK8)
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(sK6,app(cons(sK4,nil),sK7)))
| ~ spl18_16 ),
inference(superposition,[],[f313,f173]) ).
fof(f479,plain,
( sK0 = app(app(sK6,app(cons(sK4,nil),sK7)),app(cons(sK5,nil),sK8))
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(sK6,app(cons(sK4,nil),sK7)))
| ~ spl18_16 ),
inference(forward_subsumption_resolution,[],[f463,f152]) ).
fof(f498,plain,
( ~ spl18_17
| ~ spl18_4
| spl18_25
| ~ spl18_16 ),
inference(avatar_split_clause,[],[f479,f312,f397,f265,f334]) ).
fof(f500,definition,
( spl18_35
<=> ssList(app(cons(sK4,nil),sK7)) ),
introduced(definition,[new_symbols(definition,[spl18_35])],[avatar_definition]) ).
fof(f501,plain,
( ~ ssList(app(cons(sK4,nil),sK7))
| spl18_35 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f510,plain,
( ~ ssList(cons(sK4,sK7))
| ~ ssItem(sK4)
| ~ ssList(sK7)
| spl18_35 ),
inference(superposition,[],[f501,f174]) ).
fof(f513,plain,
( ~ ssItem(sK4)
| ~ ssList(sK7)
| spl18_35 ),
inference(forward_subsumption_resolution,[],[f510,f168]) ).
fof(f516,plain,
( ~ ssList(sK7)
| spl18_35 ),
inference(forward_subsumption_resolution,[],[f513,f148]) ).
fof(f519,plain,
( $false
| spl18_35 ),
inference(forward_subsumption_resolution,[],[f516,f151]) ).
fof(f520,plain,
spl18_35,
inference(avatar_contradiction_clause,[],[f519]) ).
fof(f757,plain,
( ~ ssList(app(cons(sK4,nil),sK7))
| ~ ssList(sK6)
| spl18_17 ),
inference(resolution,[],[f335,f179]) ).
fof(f762,plain,
( ~ ssList(app(cons(sK4,nil),sK7))
| spl18_17 ),
inference(forward_subsumption_resolution,[],[f757,f150]) ).
fof(f765,plain,
( ~ spl18_35
| spl18_17 ),
inference(avatar_split_clause,[],[f762,f334,f500]) ).
fof(f812,definition,
( spl18_65
<=> sK0 = app(app(sK6,app(cons(sK4,nil),sK7)),cons(sK5,sK8)) ),
introduced(definition,[new_symbols(definition,[spl18_65])],[avatar_definition]) ).
fof(f813,plain,
( sK0 = app(app(sK6,app(cons(sK4,nil),sK7)),cons(sK5,sK8))
| ~ spl18_65 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f1004,plain,
( sK0 = app(app(sK6,app(cons(sK4,nil),sK7)),cons(sK5,sK8))
| ~ ssItem(sK5)
| ~ ssList(sK8)
| ~ spl18_25 ),
inference(superposition,[],[f398,f174]) ).
fof(f1033,plain,
( sK0 = app(app(sK6,app(cons(sK4,nil),sK7)),cons(sK5,sK8))
| ~ ssList(sK8)
| ~ spl18_25 ),
inference(forward_subsumption_resolution,[],[f1004,f149]) ).
fof(f1042,plain,
( sK0 = app(app(sK6,app(cons(sK4,nil),sK7)),cons(sK5,sK8))
| ~ spl18_25 ),
inference(forward_subsumption_resolution,[],[f1033,f152]) ).
fof(f1046,plain,
( spl18_65
| ~ spl18_25 ),
inference(avatar_split_clause,[],[f1042,f397,f812]) ).
fof(f2379,plain,
( sK0 = app(app(sK6,cons(sK4,sK7)),cons(sK5,sK8))
| ~ ssItem(sK4)
| ~ ssList(sK7)
| ~ spl18_65 ),
inference(superposition,[],[f813,f174]) ).
fof(f2401,plain,
( sK0 = app(app(sK6,cons(sK4,sK7)),cons(sK5,sK8))
| ~ ssList(sK7)
| ~ spl18_65 ),
inference(forward_subsumption_resolution,[],[f2379,f148]) ).
fof(f2420,plain,
( sK0 = app(app(sK6,cons(sK4,sK7)),cons(sK5,sK8))
| ~ spl18_65 ),
inference(forward_subsumption_resolution,[],[f2401,f151]) ).
fof(f2429,plain,
( ~ totalorderedP(sK0)
| ~ ssList(sK8)
| ~ ssList(sK7)
| ~ ssList(sK6)
| ~ ssItem(sK5)
| ~ ssItem(sK4)
| leq(sK4,sK5)
| ~ ssList(sK0)
| ~ spl18_65 ),
inference(superposition,[],[f209,f2420]) ).
fof(f2447,plain,
( ~ ssList(sK8)
| ~ ssList(sK7)
| ~ ssList(sK6)
| ~ ssItem(sK5)
| ~ ssItem(sK4)
| leq(sK4,sK5)
| ~ ssList(sK0)
| ~ spl18_65 ),
inference(forward_subsumption_resolution,[],[f2429,f215]) ).
fof(f2465,plain,
( ~ ssList(sK7)
| ~ ssList(sK6)
| ~ ssItem(sK5)
| ~ ssItem(sK4)
| leq(sK4,sK5)
| ~ ssList(sK0)
| ~ spl18_65 ),
inference(forward_subsumption_resolution,[],[f2447,f152]) ).
fof(f2472,plain,
( ~ ssList(sK6)
| ~ ssItem(sK5)
| ~ ssItem(sK4)
| leq(sK4,sK5)
| ~ ssList(sK0)
| ~ spl18_65 ),
inference(forward_subsumption_resolution,[],[f2465,f151]) ).
fof(f2474,plain,
( ~ ssItem(sK5)
| ~ ssItem(sK4)
| leq(sK4,sK5)
| ~ ssList(sK0)
| ~ spl18_65 ),
inference(forward_subsumption_resolution,[],[f2472,f150]) ).
fof(f2475,plain,
( ~ ssItem(sK4)
| leq(sK4,sK5)
| ~ ssList(sK0)
| ~ spl18_65 ),
inference(forward_subsumption_resolution,[],[f2474,f149]) ).
fof(f2476,plain,
( leq(sK4,sK5)
| ~ ssList(sK0)
| ~ spl18_65 ),
inference(forward_subsumption_resolution,[],[f2475,f148]) ).
fof(f2477,plain,
( ~ ssList(sK0)
| spl18_1
| ~ spl18_65 ),
inference(forward_subsumption_resolution,[],[f2476,f232]) ).
fof(f2478,plain,
( $false
| spl18_1
| ~ spl18_65 ),
inference(forward_subsumption_resolution,[],[f2477,f144]) ).
fof(f2479,plain,
( spl18_1
| ~ spl18_65 ),
inference(avatar_contradiction_clause,[],[f2478]) ).
fof(f2482,plain,
( lt(sK4,sK4)
| ~ spl18_2 ),
inference(superposition,[],[f153,f235]) ).
fof(f2537,plain,
( ~ ssItem(sK4)
| ~ spl18_2 ),
inference(resolution,[],[f2482,f186]) ).
fof(f2543,plain,
( $false
| ~ spl18_2 ),
inference(forward_subsumption_resolution,[],[f2537,f148]) ).
fof(f2544,plain,
~ spl18_2,
inference(avatar_contradiction_clause,[],[f2543]) ).
cnf(s2,plain,
( ~ spl18_1
| spl18_2 ),
inference(sat_conversion,[],[f237]) ).
cnf(s13,plain,
( ~ spl18_15
| spl18_16 ),
inference(sat_conversion,[],[f314]) ).
cnf(s14,plain,
spl18_4,
inference(sat_conversion,[],[f319]) ).
cnf(s15,plain,
spl18_15,
inference(sat_conversion,[],[f323]) ).
cnf(s47,plain,
( ~ spl18_4
| ~ spl18_16
| ~ spl18_17
| spl18_25 ),
inference(sat_conversion,[],[f498]) ).
cnf(s50,plain,
spl18_35,
inference(sat_conversion,[],[f520]) ).
cnf(s85,plain,
( spl18_17
| ~ spl18_35 ),
inference(sat_conversion,[],[f765]) ).
cnf(s136,plain,
( ~ spl18_25
| spl18_65 ),
inference(sat_conversion,[],[f1046]) ).
cnf(s370,plain,
( spl18_1
| ~ spl18_65 ),
inference(sat_conversion,[],[f2479]) ).
cnf(s372,plain,
~ spl18_2,
inference(sat_conversion,[],[f2544]) ).
cnf(s408,plain,
spl18_17,
inference(rat,[],[s85,s50]) ).
cnf(s410,plain,
( ~ spl18_4
| ~ spl18_16
| spl18_25 ),
inference(rat,[],[s47,s408]) ).
cnf(s438,plain,
spl18_16,
inference(rat,[],[s13,s15]) ).
cnf(s450,plain,
spl18_25,
inference(rat,[],[s410,s14,s438]) ).
cnf(s459,plain,
spl18_65,
inference(rat,[],[s136,s450]) ).
cnf(s473,plain,
spl18_1,
inference(rat,[],[s370,s459]) ).
cnf(s592,plain,
$false,
inference(rat,[],[s2,s372,s473]) ).
fof(f2545,plain,
$false,
inference(avatar_sat_refutation,[],[s592]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC300+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n018.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 09:00:11 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 6.50/1.76 % (3238126)Detected formulas, will run a generic FOF schedule.
% 6.50/1.76 % (3238135)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1977353278:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.50/1.76 % (3238134)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1478557700:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.50/1.76 % (3238135)Instruction limit reached!
% 6.50/1.76 % (3238135)------------------------------
% 6.50/1.76 % (3238135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.76 % (3238135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.76 % (3238135)CaDiCaL version: 2.1.3
% 6.50/1.76 % (3238135)Termination reason: Instruction limit
% 6.50/1.76 % (3238135)Termination phase: Saturation
% 6.50/1.76 % (3238135)Time elapsed: 0.039 s
% 6.50/1.76 % (3238135)Peak memory usage: 88 MB
% 6.50/1.76 % (3238135)Instructions burned: 121 (million)
% 6.50/1.76 % (3238132)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=2072272925:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.50/1.76 % (3238133)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=2628000148:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.50/1.76 % (3238131)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=3792469111:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.50/1.76 % (3238136)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4250023629:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.50/1.76 % (3238137)dis-21_1_sil=8000:lcm=predicate:random_seed=2619682885: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)
% 6.50/1.76 % (3238134)Instruction limit reached!
% 6.50/1.76 % (3238134)------------------------------
% 6.50/1.76 % (3238134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.76 % (3238134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.76 % (3238134)CaDiCaL version: 2.1.3
% 6.50/1.76 % (3238134)Termination reason: Instruction limit
% 6.50/1.76 % (3238134)Termination phase: Saturation
% 6.50/1.76 % (3238134)Time elapsed: 0.070 s
% 6.50/1.76 % (3238134)Peak memory usage: 89 MB
% 6.50/1.76 % (3238134)Instructions burned: 109 (million)
% 6.50/1.76 % (3238137)Instruction limit reached!
% 6.50/1.76 % (3238137)------------------------------
% 6.50/1.76 % (3238137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.76 % (3238137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.76 % (3238137)CaDiCaL version: 2.1.3
% 6.50/1.76 % (3238137)Termination reason: Instruction limit
% 6.50/1.76 % (3238137)Termination phase: Saturation
% 6.50/1.76 % (3238137)Time elapsed: 0.071 s
% 6.50/1.76 % (3238137)Peak memory usage: 91 MB
% 6.50/1.76 % (3238137)Instructions burned: 131 (million)
% 6.50/1.76 % (3238144)lrs+10_1_sil=8000:sp=occurrence:random_seed=3752490298:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.50/1.76 % (3238136)Instruction limit reached!
% 6.50/1.76 % (3238136)------------------------------
% 6.50/1.76 % (3238136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.76 % (3238136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.76 % (3238136)CaDiCaL version: 2.1.3
% 6.50/1.76 % (3238136)Termination reason: Instruction limit
% 6.50/1.76 % (3238136)Termination phase: Saturation
% 6.50/1.76 % (3238136)Time elapsed: 0.093 s
% 6.50/1.76 % (3238136)Peak memory usage: 90 MB
% 6.50/1.76 % (3238136)Instructions burned: 139 (million)
% 6.50/1.76 % (3238144)Instruction limit reached!
% 6.50/1.76 % (3238144)------------------------------
% 6.50/1.76 % (3238144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.76 % (3238144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.76 % (3238144)CaDiCaL version: 2.1.3
% 6.50/1.76 % (3238144)Termination reason: Instruction limit
% 6.50/1.76 % (3238144)Termination phase: Saturation
% 6.50/1.76 % (3238144)Time elapsed: 0.086 s
% 6.50/1.76 % (3238144)Peak memory usage: 92 MB
% 6.50/1.76 % (3238144)Instructions burned: 285 (million)
% 6.50/1.76 % (3238146)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4223820836:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.50/1.76 % (3238148)lrs+1011_1_sil=32000:sp=occurrence:random_seed=252476068:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.50/1.76 % (3238149)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=2445490203:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.50/1.76 % (3238150)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2001709989:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.50/1.76 % (3238146)Instruction limit reached!
% 6.50/1.76 % (3238146)------------------------------
% 6.50/1.76 % (3238146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.76 % (3238146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.76 % (3238146)CaDiCaL version: 2.1.3
% 6.50/1.76 % (3238146)Termination reason: Instruction limit
% 6.50/1.76 % (3238146)Termination phase: Saturation
% 6.50/1.76 % (3238146)Time elapsed: 0.079 s
% 6.50/1.76 % (3238146)Peak memory usage: 95 MB
% 6.50/1.76 % (3238146)Instructions burned: 159 (million)
% 6.50/1.76 % (3238149)Instruction limit reached!
% 6.50/1.76 % (3238149)------------------------------
% 6.50/1.76 % (3238149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.76 % (3238149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.76 % (3238149)CaDiCaL version: 2.1.3
% 6.50/1.76 % (3238149)Termination reason: Instruction limit
% 6.50/1.76 % (3238149)Termination phase: Saturation
% 6.50/1.76 % (3238149)Time elapsed: 0.116 s
% 6.50/1.76 % (3238149)Peak memory usage: 94 MB
% 6.50/1.76 % (3238149)Instructions burned: 248 (million)
% 6.50/1.76 % (3238150)Instruction limit reached!
% 6.50/1.76 % (3238150)------------------------------
% 6.50/1.76 % (3238150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.76 % (3238150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.76 % (3238150)CaDiCaL version: 2.1.3
% 6.50/1.76 % (3238150)Termination reason: Instruction limit
% 6.50/1.76 % (3238150)Termination phase: Saturation
% 6.50/1.76 % (3238150)Time elapsed: 0.091 s
% 6.50/1.76 % (3238150)Peak memory usage: 90 MB
% 6.50/1.76 % (3238150)Instructions burned: 295 (million)
% 6.50/1.76 % (3238155)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2836046859:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.50/1.76 % (3238148)Instruction limit reached!
% 6.50/1.76 % (3238148)------------------------------
% 6.50/1.76 % (3238148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.76 % (3238148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.76 % (3238148)CaDiCaL version: 2.1.3
% 6.50/1.76 % (3238148)Termination reason: Instruction limit
% 6.50/1.76 % (3238148)Termination phase: Saturation
% 6.50/1.76 % (3238148)Time elapsed: 0.205 s
% 6.50/1.76 % (3238148)Peak memory usage: 92 MB
% 6.50/1.76 % (3238148)Instructions burned: 326 (million)
% 6.50/1.76 % (3238157)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3187159601:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 6.50/1.76 % (3238156)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1325427579:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 6.50/1.76 % (3238157)Instruction limit reached!
% 6.50/1.76 % (3238157)------------------------------
% 6.50/1.76 % (3238157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.76 % (3238157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.76 % (3238157)CaDiCaL version: 2.1.3
% 6.50/1.76 % (3238157)Termination reason: Instruction limit
% 6.50/1.76 % (3238157)Termination phase: Saturation
% 6.50/1.76 % (3238157)Time elapsed: 0.035 s
% 6.50/1.76 % (3238157)Peak memory usage: 90 MB
% 6.50/1.76 % (3238157)Instructions burned: 131 (million)
% 6.50/1.76 % (3238156)Instruction limit reached!
% 6.50/1.76 % (3238156)------------------------------
% 6.50/1.76 % (3238156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.76 % (3238156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.76 % (3238156)CaDiCaL version: 2.1.3
% 6.50/1.76 % (3238156)Termination reason: Instruction limit
% 6.50/1.76 % (3238156)Termination phase: Saturation
% 6.50/1.76 % (3238156)Time elapsed: 0.073 s
% 6.50/1.76 % (3238156)Peak memory usage: 90 MB
% 6.50/1.76 % (3238156)Instructions burned: 114 (million)
% 6.50/1.76 % (3238162)lrs+10_1_sil=8000:sp=occurrence:random_seed=3217156620:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.50/1.76 % (3238159)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1392724757:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.50/1.76 % (3238159)Instruction limit reached!
% 6.50/1.76 % (3238159)------------------------------
% 6.50/1.76 % (3238159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.76 % (3238159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.76 % (3238159)CaDiCaL version: 2.1.3
% 6.50/1.76 % (3238159)Termination reason: Instruction limit
% 6.50/1.76 % (3238159)Termination phase: Saturation
% 6.50/1.76 % (3238159)Time elapsed: 0.067 s
% 6.50/1.76 % (3238159)Peak memory usage: 89 MB
% 6.50/1.76 % (3238159)Instructions burned: 115 (million)
% 6.50/1.76 % (3238163)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4027671484:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 6.50/1.76 % (3238163)First to succeed.
% 6.50/1.76 % (3238163)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3238126"
% 6.50/1.76 % (3238166)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3110369949:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.50/1.76 % (3238162)Instruction limit reached!
% 6.50/1.76 % (3238162)------------------------------
% 6.50/1.76 % (3238162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.76 % (3238162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.76 % (3238162)CaDiCaL version: 2.1.3
% 6.50/1.76 % (3238162)Termination reason: Instruction limit
% 6.50/1.76 % (3238162)Termination phase: Saturation
% 6.50/1.76 % (3238162)Time elapsed: 0.264 s
% 6.50/1.76 % (3238162)Peak memory usage: 101 MB
% 6.50/1.76 % (3238162)Instructions burned: 907 (million)
% 6.50/1.76 % (3238169)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=497244464:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 6.50/1.76 % (3238169)Instruction limit reached!
% 6.50/1.76 % (3238169)------------------------------
% 6.50/1.76 % (3238169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.76 % (3238169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.76 % (3238169)CaDiCaL version: 2.1.3
% 6.50/1.76 % (3238169)Termination reason: Instruction limit
% 6.50/1.76 % (3238169)Termination phase: Saturation
% 6.50/1.76 % (3238169)Time elapsed: 0.033 s
% 6.50/1.76 % (3238169)Peak memory usage: 91 MB
% 6.50/1.76 % (3238169)Instructions burned: 136 (million)
% 6.50/1.76 % (3238163)Refutation found. Thanks to Tanya!
% 6.50/1.76 % SZS status Theorem for theBenchmark
% 6.50/1.76 % SZS output start Proof for theBenchmark
% See solution above
% 8.45/1.95 % (3238163)------------------------------
% 8.45/1.95 % (3238163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/1.95 % (3238163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/1.95 % (3238163)CaDiCaL version: 2.1.3
% 8.45/1.95 % (3238163)Termination reason: Refutation
% 8.45/1.95 % (3238163)Time elapsed: 0.052 s
% 8.45/1.95 % (3238163)Peak memory usage: 90 MB
% 8.45/1.95 % (3238163)Instructions burned: 82 (million)
% 8.45/1.95 % (3238163)------------------------------
% 8.45/1.95 % (3238163)------------------------------
% 8.45/1.95 % (3238126)Success in time 1.107 s
% 8.45/1.95 % Vampire exiting
%------------------------------------------------------------------------------