%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC167+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 01:02:45 PM UTC 2026
% Result : Theorem 6.60s 1.99s
% Output : Refutation 8.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 24
% Syntax : Number of formulae : 147 ( 39 unt; 15 def)
% Number of atoms : 585 ( 90 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 744 ( 306 ~; 288 |; 90 &)
% ( 22 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 16 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-2 aty)
% Number of variables : 160 ( 0 sgn 124 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f12,axiom,
! [X0] :
( ssList(X0)
=> ( strictorderedP(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
=> lt(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).
fof(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax82) ).
fof(f93,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
<=> ( X0 != X1
& leq(X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax93) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ! [X4] :
( ssList(X4)
=> ( app(X2,X4) != X3
| ~ strictorderedP(X2)
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(cons(X5,nil),X6) = X4
& ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = X2
& lt(X7,X5) ) ) ) ) ) )
| ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssItem(X10)
=> ! [X11] :
( ssList(X11)
=> ! [X12] :
( ssList(X12)
=> ( app(app(app(X11,cons(X9,nil)),cons(X10,nil)),X12) != X0
| neq(X9,X10) ) ) ) ) )
| ( nil != X3
& nil = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ! [X4] :
( ssList(X4)
=> ( app(X2,X4) != X3
| ~ strictorderedP(X2)
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(cons(X5,nil),X6) = X4
& ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = X2
& lt(X7,X5) ) ) ) ) ) )
| ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssItem(X10)
=> ! [X11] :
( ssList(X11)
=> ! [X12] :
( ssList(X12)
=> ( app(app(app(X11,cons(X9,nil)),cons(X10,nil)),X12) != X0
| neq(X9,X10) ) ) ) ) )
| ( nil != X3
& nil = X2 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( app(X2,X4) = X3
& strictorderedP(X2)
& ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != X4
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X7,nil)) != X2
| ~ lt(X7,X5) ) ) ) )
& ssList(X4) )
& ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( app(app(app(X11,cons(X9,nil)),cons(X10,nil)),X12) = X0
& ~ neq(X9,X10)
& ssList(X12) )
& ssList(X11) )
& ssItem(X10) )
& ssItem(X9) )
& ( 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] :
( app(X2,X4) = X3
& strictorderedP(X2)
& ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != X4
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X7,nil)) != X2
| ~ lt(X7,X5) ) ) ) )
& ssList(X4) )
& ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( app(app(app(X11,cons(X9,nil)),cons(X10,nil)),X12) = X0
& ~ neq(X9,X10)
& ssList(X12) )
& ssList(X11) )
& ssItem(X10) )
& ssItem(X9) )
& ( 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(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] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ( lt(X0,X1)
<=> ( X0 != X1
& leq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f132,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(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,[],[f12]) ).
fof(f133,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(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,[],[f132]) ).
fof(f134,plain,
( sK1 = sK3
& sK0 = sK2
& sK3 = app(sK2,sK4)
& strictorderedP(sK2)
& ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != sK4
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X7,nil)) != sK2
| ~ lt(X7,X5) ) ) ) )
& ssList(sK4)
& sK0 = app(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)),sK8)
& ~ neq(sK5,sK6)
& ssList(sK8)
& ssList(sK7)
& ssItem(sK6)
& ssItem(sK5)
& ( 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(X9,sK5),skolemize(X10,sK6),skolemize(X11,sK7),skolemize(X12,sK8)],[f99]) ).
fof(f140,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f119]) ).
fof(f141,plain,
! [X0] :
( ! [X1] :
( ( ( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1) )
& ( ( X0 != X1
& leq(X0,X1) )
| ~ lt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f120]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( ( ( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1) )
& ( ( X0 != X1
& leq(X0,X1) )
| ~ lt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f141]) ).
fof(f145,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(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] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ strictorderedP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f133]) ).
fof(f146,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(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] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ strictorderedP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f145]) ).
fof(f147,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ( ~ lt(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] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ strictorderedP(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))],[f146]) ).
fof(f148,plain,
ssList(sK0),
inference(cnf_transformation,[],[f134]) ).
fof(f153,plain,
ssItem(sK5),
inference(cnf_transformation,[],[f134]) ).
fof(f154,plain,
ssItem(sK6),
inference(cnf_transformation,[],[f134]) ).
fof(f155,plain,
ssList(sK7),
inference(cnf_transformation,[],[f134]) ).
fof(f156,plain,
ssList(sK8),
inference(cnf_transformation,[],[f134]) ).
fof(f157,plain,
~ neq(sK5,sK6),
inference(cnf_transformation,[],[f134]) ).
fof(f158,plain,
sK0 = app(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)),sK8),
inference(cnf_transformation,[],[f134]) ).
fof(f161,plain,
strictorderedP(sK2),
inference(cnf_transformation,[],[f134]) ).
fof(f163,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f134]) ).
fof(f175,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f180,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(f181,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f186,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f190,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f191,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f193,plain,
! [X0,X1] :
( X0 != X1
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f207,plain,
! [X10,X0,X8,X6,X9,X7] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ strictorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f215,plain,
sK2 = app(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)),sK8),
inference(definition_unfolding,[],[f158,f163]) ).
fof(f217,plain,
ssList(sK2),
inference(definition_unfolding,[],[f148,f163]) ).
fof(f222,plain,
! [X1] :
( ~ lt(X1,X1)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f193]) ).
fof(f225,plain,
! [X10,X8,X6,X9,X7] :
( lt(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ strictorderedP(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ ssList(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f207]) ).
fof(f233,plain,
! [X1] :
( ~ lt(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f222]) ).
fof(f235,definition,
( spl20_1
<=> sK2 = app(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)),sK8) ),
introduced(definition,[new_symbols(definition,[spl20_1])],[avatar_definition]) ).
fof(f237,plain,
( sK2 = app(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)),sK8)
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f238,plain,
spl20_1,
inference(avatar_split_clause,[],[f215,f235]) ).
fof(f258,plain,
( sK2 = app(app(sK7,cons(sK5,nil)),app(cons(sK6,nil),sK8))
| ~ ssList(sK8)
| ~ ssList(cons(sK6,nil))
| ~ ssList(app(sK7,cons(sK5,nil)))
| ~ spl20_1 ),
inference(superposition,[],[f180,f237]) ).
fof(f259,plain,
( sK2 = app(app(sK7,cons(sK5,nil)),app(cons(sK6,nil),sK8))
| ~ ssList(cons(sK6,nil))
| ~ ssList(app(sK7,cons(sK5,nil)))
| ~ spl20_1 ),
inference(forward_subsumption_resolution,[],[f258,f156]) ).
fof(f271,definition,
( spl20_2
<=> ssList(app(sK7,cons(sK5,nil))) ),
introduced(definition,[new_symbols(definition,[spl20_2])],[avatar_definition]) ).
fof(f273,plain,
( ~ ssList(app(sK7,cons(sK5,nil)))
| spl20_2 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f275,definition,
( spl20_3
<=> ssList(cons(sK6,nil)) ),
introduced(definition,[new_symbols(definition,[spl20_3])],[avatar_definition]) ).
fof(f277,plain,
( ~ ssList(cons(sK6,nil))
| spl20_3 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f279,definition,
( spl20_4
<=> sK2 = app(app(sK7,cons(sK5,nil)),app(cons(sK6,nil),sK8)) ),
introduced(definition,[new_symbols(definition,[spl20_4])],[avatar_definition]) ).
fof(f281,plain,
( sK2 = app(app(sK7,cons(sK5,nil)),app(cons(sK6,nil),sK8))
| ~ spl20_4 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f282,plain,
( ~ spl20_2
| ~ spl20_3
| spl20_4
| ~ spl20_1 ),
inference(avatar_split_clause,[],[f259,f235,f279,f275,f271]) ).
fof(f284,definition,
( spl20_5
<=> ssItem(sK5) ),
introduced(definition,[new_symbols(definition,[spl20_5])],[avatar_definition]) ).
fof(f286,plain,
( ssItem(sK5)
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f287,plain,
spl20_5,
inference(avatar_split_clause,[],[f153,f284]) ).
fof(f289,definition,
( spl20_6
<=> ssItem(sK6) ),
introduced(definition,[new_symbols(definition,[spl20_6])],[avatar_definition]) ).
fof(f291,plain,
( ssItem(sK6)
| ~ spl20_6 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f292,plain,
spl20_6,
inference(avatar_split_clause,[],[f154,f289]) ).
fof(f294,definition,
( spl20_7
<=> neq(sK5,sK6) ),
introduced(definition,[new_symbols(definition,[spl20_7])],[avatar_definition]) ).
fof(f296,plain,
( ~ neq(sK5,sK6)
| spl20_7 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f297,plain,
~ spl20_7,
inference(avatar_split_clause,[],[f157,f294]) ).
fof(f298,plain,
( sK5 = sK6
| ~ ssItem(sK6)
| ~ ssItem(sK5)
| spl20_7 ),
inference(resolution,[],[f296,f190]) ).
fof(f300,plain,
( sK5 = sK6
| ~ ssItem(sK5)
| ~ spl20_6
| spl20_7 ),
inference(forward_subsumption_resolution,[],[f298,f291]) ).
fof(f301,plain,
( sK5 = sK6
| ~ spl20_5
| ~ spl20_6
| spl20_7 ),
inference(forward_subsumption_resolution,[],[f300,f286]) ).
fof(f442,definition,
( spl20_9
<=> ssList(sK8) ),
introduced(definition,[new_symbols(definition,[spl20_9])],[avatar_definition]) ).
fof(f444,plain,
( ssList(sK8)
| ~ spl20_9 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f445,plain,
spl20_9,
inference(avatar_split_clause,[],[f156,f442]) ).
fof(f492,plain,
( ~ ssList(cons(sK5,nil))
| ~ ssList(sK7)
| spl20_2 ),
inference(resolution,[],[f273,f186]) ).
fof(f501,plain,
( ~ ssList(cons(sK5,nil))
| spl20_2 ),
inference(forward_subsumption_resolution,[],[f492,f155]) ).
fof(f549,definition,
( spl20_10
<=> ssList(sK7) ),
introduced(definition,[new_symbols(definition,[spl20_10])],[avatar_definition]) ).
fof(f551,plain,
( ssList(sK7)
| ~ spl20_10 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f552,plain,
spl20_10,
inference(avatar_split_clause,[],[f155,f549]) ).
fof(f600,definition,
( spl20_11
<=> ssList(sK2) ),
introduced(definition,[new_symbols(definition,[spl20_11])],[avatar_definition]) ).
fof(f602,plain,
( ssList(sK2)
| ~ spl20_11 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f603,plain,
spl20_11,
inference(avatar_split_clause,[],[f217,f600]) ).
fof(f635,definition,
( spl20_13
<=> ssList(cons(sK5,nil)) ),
introduced(definition,[new_symbols(definition,[spl20_13])],[avatar_definition]) ).
fof(f636,plain,
( ssList(cons(sK5,nil))
| ~ spl20_13 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f637,plain,
( ~ ssList(cons(sK5,nil))
| spl20_13 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f638,plain,
( ~ spl20_13
| spl20_2 ),
inference(avatar_split_clause,[],[f501,f271,f635]) ).
fof(f724,definition,
( spl20_17
<=> strictorderedP(sK2) ),
introduced(definition,[new_symbols(definition,[spl20_17])],[avatar_definition]) ).
fof(f726,plain,
( strictorderedP(sK2)
| ~ spl20_17 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f727,plain,
spl20_17,
inference(avatar_split_clause,[],[f161,f724]) ).
fof(f736,definition,
( spl20_18
<=> sK5 = sK6 ),
introduced(definition,[new_symbols(definition,[spl20_18])],[avatar_definition]) ).
fof(f738,plain,
( sK5 = sK6
| ~ spl20_18 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f739,plain,
( spl20_18
| ~ spl20_5
| ~ spl20_6
| spl20_7 ),
inference(avatar_split_clause,[],[f301,f294,f289,f284,f736]) ).
fof(f760,plain,
( ~ ssItem(sK5)
| ~ ssList(nil)
| spl20_13 ),
inference(resolution,[],[f637,f175]) ).
fof(f777,plain,
( ~ ssList(nil)
| ~ spl20_5
| spl20_13 ),
inference(forward_subsumption_resolution,[],[f760,f286]) ).
fof(f778,plain,
( $false
| ~ spl20_5
| spl20_13 ),
inference(forward_subsumption_resolution,[],[f777,f191]) ).
fof(f779,plain,
( ~ spl20_5
| spl20_13 ),
inference(avatar_contradiction_clause,[],[f778]) ).
fof(f780,plain,
( ~ ssList(cons(sK5,nil))
| spl20_3
| ~ spl20_18 ),
inference(forward_demodulation,[],[f277,f738]) ).
fof(f782,plain,
( $false
| spl20_3
| ~ spl20_13
| ~ spl20_18 ),
inference(forward_subsumption_resolution,[],[f780,f636]) ).
fof(f783,plain,
( spl20_3
| ~ spl20_13
| ~ spl20_18 ),
inference(avatar_contradiction_clause,[],[f782]) ).
fof(f788,plain,
( sK2 = app(app(sK7,cons(sK5,nil)),app(cons(sK5,nil),sK8))
| ~ spl20_4
| ~ spl20_18 ),
inference(forward_demodulation,[],[f281,f738]) ).
fof(f790,definition,
( spl20_21
<=> sK2 = app(app(sK7,cons(sK5,nil)),app(cons(sK5,nil),sK8)) ),
introduced(definition,[new_symbols(definition,[spl20_21])],[avatar_definition]) ).
fof(f792,plain,
( sK2 = app(app(sK7,cons(sK5,nil)),app(cons(sK5,nil),sK8))
| ~ spl20_21 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f793,plain,
( spl20_21
| ~ spl20_4
| ~ spl20_18 ),
inference(avatar_split_clause,[],[f788,f736,f279,f790]) ).
fof(f802,plain,
( sK2 = app(app(sK7,cons(sK5,nil)),cons(sK5,sK8))
| ~ ssItem(sK5)
| ~ ssList(sK8)
| ~ spl20_21 ),
inference(superposition,[],[f792,f181]) ).
fof(f822,plain,
( sK2 = app(app(sK7,cons(sK5,nil)),cons(sK5,sK8))
| ~ ssList(sK8)
| ~ spl20_5
| ~ spl20_21 ),
inference(forward_subsumption_resolution,[],[f802,f286]) ).
fof(f825,plain,
( sK2 = app(app(sK7,cons(sK5,nil)),cons(sK5,sK8))
| ~ spl20_5
| ~ spl20_9
| ~ spl20_21 ),
inference(forward_subsumption_resolution,[],[f822,f444]) ).
fof(f829,definition,
( spl20_22
<=> sK2 = app(app(sK7,cons(sK5,nil)),cons(sK5,sK8)) ),
introduced(definition,[new_symbols(definition,[spl20_22])],[avatar_definition]) ).
fof(f831,plain,
( sK2 = app(app(sK7,cons(sK5,nil)),cons(sK5,sK8))
| ~ spl20_22 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f832,plain,
( spl20_22
| ~ spl20_5
| ~ spl20_9
| ~ spl20_21 ),
inference(avatar_split_clause,[],[f825,f790,f442,f284,f829]) ).
fof(f842,plain,
( ~ ssList(sK2)
| lt(sK5,sK5)
| ~ ssList(sK8)
| ~ ssList(nil)
| ~ ssList(sK7)
| ~ ssItem(sK5)
| ~ ssItem(sK5)
| ~ strictorderedP(sK2)
| ~ spl20_22 ),
inference(superposition,[],[f225,f831]) ).
fof(f857,plain,
( ~ ssList(sK2)
| lt(sK5,sK5)
| ~ ssList(sK8)
| ~ ssList(nil)
| ~ ssList(sK7)
| ~ ssItem(sK5)
| ~ strictorderedP(sK2)
| ~ spl20_22 ),
inference(duplicate_literal_removal,[],[f842]) ).
fof(f868,plain,
( lt(sK5,sK5)
| ~ ssList(sK8)
| ~ ssList(nil)
| ~ ssList(sK7)
| ~ ssItem(sK5)
| ~ strictorderedP(sK2)
| ~ spl20_11
| ~ spl20_22 ),
inference(forward_subsumption_resolution,[],[f857,f602]) ).
fof(f874,plain,
( ~ ssList(sK8)
| ~ ssList(nil)
| ~ ssList(sK7)
| ~ ssItem(sK5)
| ~ strictorderedP(sK2)
| ~ spl20_11
| ~ spl20_22 ),
inference(forward_subsumption_resolution,[],[f868,f233]) ).
fof(f879,plain,
( ~ ssList(nil)
| ~ ssList(sK7)
| ~ ssItem(sK5)
| ~ strictorderedP(sK2)
| ~ spl20_9
| ~ spl20_11
| ~ spl20_22 ),
inference(forward_subsumption_resolution,[],[f874,f444]) ).
fof(f881,plain,
( ~ ssList(sK7)
| ~ ssItem(sK5)
| ~ strictorderedP(sK2)
| ~ spl20_9
| ~ spl20_11
| ~ spl20_22 ),
inference(forward_subsumption_resolution,[],[f879,f191]) ).
fof(f883,plain,
( ~ ssItem(sK5)
| ~ strictorderedP(sK2)
| ~ spl20_9
| ~ spl20_10
| ~ spl20_11
| ~ spl20_22 ),
inference(forward_subsumption_resolution,[],[f881,f551]) ).
fof(f885,plain,
( ~ strictorderedP(sK2)
| ~ spl20_5
| ~ spl20_9
| ~ spl20_10
| ~ spl20_11
| ~ spl20_22 ),
inference(forward_subsumption_resolution,[],[f883,f286]) ).
fof(f888,plain,
( $false
| ~ spl20_5
| ~ spl20_9
| ~ spl20_10
| ~ spl20_11
| ~ spl20_17
| ~ spl20_22 ),
inference(forward_subsumption_resolution,[],[f885,f726]) ).
fof(f889,plain,
( ~ spl20_5
| ~ spl20_9
| ~ spl20_10
| ~ spl20_11
| ~ spl20_17
| ~ spl20_22 ),
inference(avatar_contradiction_clause,[],[f888]) ).
cnf(s1,plain,
spl20_1,
inference(sat_conversion,[],[f238]) ).
cnf(s2,plain,
( ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| spl20_4 ),
inference(sat_conversion,[],[f282]) ).
cnf(s3,plain,
spl20_5,
inference(sat_conversion,[],[f287]) ).
cnf(s4,plain,
spl20_6,
inference(sat_conversion,[],[f292]) ).
cnf(s5,plain,
~ spl20_7,
inference(sat_conversion,[],[f297]) ).
cnf(s7,plain,
spl20_9,
inference(sat_conversion,[],[f445]) ).
cnf(s8,plain,
spl20_10,
inference(sat_conversion,[],[f552]) ).
cnf(s9,plain,
spl20_11,
inference(sat_conversion,[],[f603]) ).
cnf(s11,plain,
( spl20_2
| ~ spl20_13 ),
inference(sat_conversion,[],[f638]) ).
cnf(s15,plain,
spl20_17,
inference(sat_conversion,[],[f727]) ).
cnf(s16,plain,
( ~ spl20_5
| ~ spl20_6
| spl20_7
| spl20_18 ),
inference(sat_conversion,[],[f739]) ).
cnf(s18,plain,
( ~ spl20_5
| spl20_13 ),
inference(sat_conversion,[],[f779]) ).
cnf(s19,plain,
( spl20_3
| ~ spl20_13
| ~ spl20_18 ),
inference(sat_conversion,[],[f783]) ).
cnf(s20,plain,
( ~ spl20_4
| ~ spl20_18
| spl20_21 ),
inference(sat_conversion,[],[f793]) ).
cnf(s21,plain,
( ~ spl20_5
| ~ spl20_9
| ~ spl20_21
| spl20_22 ),
inference(sat_conversion,[],[f832]) ).
cnf(s23,plain,
( ~ spl20_5
| ~ spl20_9
| ~ spl20_10
| ~ spl20_11
| ~ spl20_17
| ~ spl20_22 ),
inference(sat_conversion,[],[f889]) ).
cnf(s25,plain,
~ spl20_22,
inference(rat,[],[s23,s7,s15,s9,s8,s3]) ).
cnf(s26,plain,
~ spl20_21,
inference(rat,[],[s21,s25,s7,s3]) ).
cnf(s27,plain,
spl20_13,
inference(rat,[],[s18,s3]) ).
cnf(s28,plain,
spl20_18,
inference(rat,[],[s16,s4,s5,s3]) ).
cnf(s29,plain,
spl20_3,
inference(rat,[],[s19,s28,s27]) ).
cnf(s30,plain,
spl20_2,
inference(rat,[],[s11,s27]) ).
cnf(s31,plain,
~ spl20_4,
inference(rat,[],[s20,s26,s28]) ).
cnf(s32,plain,
~ spl20_1,
inference(rat,[],[s2,s31,s29,s30]) ).
cnf(s33,plain,
$false,
inference(rat,[],[s1,s32]) ).
fof(f890,plain,
$false,
inference(avatar_sat_refutation,[],[s33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC167+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n010.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 08:15:32 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.60/1.99 % (1764895)Detected formulas, will run a generic FOF schedule.
% 6.60/1.99 % (1764900)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=1111181872:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.60/1.99 % (1764904)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1207342066:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.60/1.99 % (1764902)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=1562968240:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.60/1.99 % (1764906)dis-21_1_sil=8000:lcm=predicate:random_seed=3102771002: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)
% 6.60/1.99 % (1764901)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=2564352181:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.60/1.99 % (1764903)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3173096894:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.60/1.99 % (1764905)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3843038670:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.60/1.99 % (1764904)Instruction limit reached!
% 6.60/1.99 % (1764904)------------------------------
% 6.60/1.99 % (1764904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.99 % (1764904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.99 % (1764904)CaDiCaL version: 2.1.3
% 6.60/1.99 % (1764904)Termination reason: Instruction limit
% 6.60/1.99 % (1764904)Termination phase: Saturation
% 6.60/1.99 % (1764904)Time elapsed: 0.068 s
% 6.60/1.99 % (1764904)Peak memory usage: 88 MB
% 6.60/1.99 % (1764904)Instructions burned: 119 (million)
% 6.60/1.99 % (1764903)Instruction limit reached!
% 6.60/1.99 % (1764903)------------------------------
% 6.60/1.99 % (1764903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.99 % (1764903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.99 % (1764903)CaDiCaL version: 2.1.3
% 6.60/1.99 % (1764903)Termination reason: Instruction limit
% 6.60/1.99 % (1764903)Termination phase: Saturation
% 6.60/1.99 % (1764903)Time elapsed: 0.070 s
% 6.60/1.99 % (1764903)Peak memory usage: 89 MB
% 6.60/1.99 % (1764903)Instructions burned: 110 (million)
% 6.60/1.99 % (1764906)Instruction limit reached!
% 6.60/1.99 % (1764906)------------------------------
% 6.60/1.99 % (1764906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.99 % (1764906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.99 % (1764906)CaDiCaL version: 2.1.3
% 6.60/1.99 % (1764906)Termination reason: Instruction limit
% 6.60/1.99 % (1764906)Termination phase: Saturation
% 6.60/1.99 % (1764906)Time elapsed: 0.073 s
% 6.60/1.99 % (1764906)Peak memory usage: 90 MB
% 6.60/1.99 % (1764906)Instructions burned: 130 (million)
% 6.60/1.99 % (1764905)Instruction limit reached!
% 6.60/1.99 % (1764905)------------------------------
% 6.60/1.99 % (1764905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.99 % (1764905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.99 % (1764905)CaDiCaL version: 2.1.3
% 6.60/1.99 % (1764905)Termination reason: Instruction limit
% 6.60/1.99 % (1764905)Termination phase: Saturation
% 6.60/1.99 % (1764905)Time elapsed: 0.089 s
% 6.60/1.99 % (1764905)Peak memory usage: 90 MB
% 6.60/1.99 % (1764905)Instructions burned: 139 (million)
% 6.60/1.99 % (1764915)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1772307206:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.60/1.99 % (1764916)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1128840362:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.60/1.99 % (1764914)lrs+10_1_sil=8000:sp=occurrence:random_seed=1944055974:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.60/1.99 % (1764917)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=1700216524:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.60/1.99 % (1764915)Instruction limit reached!
% 6.60/1.99 % (1764915)------------------------------
% 6.60/1.99 % (1764915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.99 % (1764915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.99 % (1764915)CaDiCaL version: 2.1.3
% 6.60/1.99 % (1764915)Termination reason: Instruction limit
% 6.60/1.99 % (1764915)Termination phase: Saturation
% 6.60/1.99 % (1764915)Time elapsed: 0.076 s
% 6.60/1.99 % (1764915)Peak memory usage: 93 MB
% 6.60/1.99 % (1764915)Instructions burned: 158 (million)
% 6.60/1.99 % (1764917)Instruction limit reached!
% 6.60/1.99 % (1764917)------------------------------
% 6.60/1.99 % (1764917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.99 % (1764917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.99 % (1764917)CaDiCaL version: 2.1.3
% 6.60/1.99 % (1764917)Termination reason: Instruction limit
% 6.60/1.99 % (1764917)Termination phase: Saturation
% 6.60/1.99 % (1764917)Time elapsed: 0.123 s
% 6.60/1.99 % (1764917)Peak memory usage: 97 MB
% 6.60/1.99 % (1764917)Instructions burned: 250 (million)
% 6.60/1.99 % (1764914)Instruction limit reached!
% 6.60/1.99 % (1764914)------------------------------
% 6.60/1.99 % (1764914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.99 % (1764914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.99 % (1764914)CaDiCaL version: 2.1.3
% 6.60/1.99 % (1764914)Termination reason: Instruction limit
% 6.60/1.99 % (1764914)Termination phase: Saturation
% 6.60/1.99 % (1764914)Time elapsed: 0.159 s
% 6.60/1.99 % (1764914)Peak memory usage: 92 MB
% 6.60/1.99 % (1764914)Instructions burned: 286 (million)
% 6.60/1.99 % (1764922)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1512375392:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.60/1.99 % (1764916)Instruction limit reached!
% 6.60/1.99 % (1764916)------------------------------
% 6.60/1.99 % (1764916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.99 % (1764916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.99 % (1764916)CaDiCaL version: 2.1.3
% 6.60/1.99 % (1764916)Termination reason: Instruction limit
% 6.60/1.99 % (1764916)Termination phase: Saturation
% 6.60/1.99 % (1764916)Time elapsed: 0.200 s
% 6.60/1.99 % (1764916)Peak memory usage: 92 MB
% 6.60/1.99 % (1764916)Instructions burned: 326 (million)
% 6.60/1.99 % (1764922)Instruction limit reached!
% 6.60/1.99 % (1764922)------------------------------
% 6.60/1.99 % (1764922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.99 % (1764922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.99 % (1764922)CaDiCaL version: 2.1.3
% 6.60/1.99 % (1764922)Termination reason: Instruction limit
% 6.60/1.99 % (1764922)Termination phase: Saturation
% 6.60/1.99 % (1764922)Time elapsed: 0.095 s
% 6.60/1.99 % (1764922)Peak memory usage: 90 MB
% 6.60/1.99 % (1764922)Instructions burned: 295 (million)
% 6.60/1.99 % (1764923)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1239887444:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.60/1.99 % (1764924)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1370039494:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.60/1.99 % (1764926)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3924596863:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.60/1.99 % (1764924)Instruction limit reached!
% 6.60/1.99 % (1764924)------------------------------
% 6.60/1.99 % (1764924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.99 % (1764924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.99 % (1764924)CaDiCaL version: 2.1.3
% 6.60/1.99 % (1764924)Termination reason: Instruction limit
% 6.60/1.99 % (1764924)Termination phase: Saturation
% 6.60/1.99 % (1764924)Time elapsed: 0.072 s
% 6.60/1.99 % (1764924)Peak memory usage: 90 MB
% 6.60/1.99 % (1764924)Instructions burned: 113 (million)
% 6.60/1.99 % (1764927)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1507537996:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.60/1.99 % (1764926)Instruction limit reached!
% 6.60/1.99 % (1764926)------------------------------
% 6.60/1.99 % (1764926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.99 % (1764926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.99 % (1764926)CaDiCaL version: 2.1.3
% 6.60/1.99 % (1764926)Termination reason: Instruction limit
% 6.60/1.99 % (1764926)Termination phase: Saturation
% 6.60/1.99 % (1764926)Time elapsed: 0.065 s
% 6.60/1.99 % (1764926)Peak memory usage: 90 MB
% 6.60/1.99 % (1764926)Instructions burned: 129 (million)
% 6.60/1.99 % (1764927)Instruction limit reached!
% 6.60/1.99 % (1764927)------------------------------
% 6.60/1.99 % (1764927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.99 % (1764927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.99 % (1764927)CaDiCaL version: 2.1.3
% 6.60/1.99 % (1764927)Termination reason: Instruction limit
% 6.60/1.99 % (1764927)Termination phase: Saturation
% 6.60/1.99 % (1764927)Time elapsed: 0.036 s
% 6.60/1.99 % (1764927)Peak memory usage: 89 MB
% 6.60/1.99 % (1764927)Instructions burned: 115 (million)
% 6.60/1.99 % (1764902)First to succeed.
% 6.60/1.99 % (1764902)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1764895"
% 6.60/1.99 % (1764900)Also succeeded, but the first one will report.
% 6.60/1.99 % (1764931)lrs+10_1_sil=8000:sp=occurrence:random_seed=4098691855:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.60/1.99 % (1764934)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2271294497:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.60/1.99 % (1764933)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2048846355:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.60/1.99 % (1764933)Also succeeded, but the first one will report.
% 6.60/1.99 % (1764902)Refutation found. Thanks to Tanya!
% 6.60/1.99 % SZS status Theorem for theBenchmark
% 6.60/1.99 % SZS output start Proof for theBenchmark
% See solution above
% 8.55/2.18 % (1764902)------------------------------
% 8.55/2.18 % (1764902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.18 % (1764902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.18 % (1764902)CaDiCaL version: 2.1.3
% 8.55/2.18 % (1764902)Termination reason: Refutation
% 8.55/2.18 % (1764902)Time elapsed: 0.686 s
% 8.55/2.18 % (1764902)Peak memory usage: 129 MB
% 8.55/2.18 % (1764902)Instructions burned: 1039 (million)
% 8.55/2.18 % (1764902)------------------------------
% 8.55/2.18 % (1764902)------------------------------
% 8.55/2.18 % (1764895)Success in time 1.122 s
% 8.55/2.18 % Vampire exiting
%------------------------------------------------------------------------------