%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC089+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 : n009.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 01:02:23 PM UTC 2026
% Result : Theorem 6.48s 1.93s
% Output : Refutation 8.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 30
% Syntax : Number of formulae : 199 ( 36 unt; 17 def)
% Number of atoms : 761 ( 142 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 990 ( 428 ~; 443 |; 74 &)
% ( 17 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 14 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 147 ( 0 sgn 121 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
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(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ neq(X1,nil)
| ? [X4] :
( ssList(X4)
& neq(X4,nil)
& segmentP(X1,X4)
& segmentP(X0,X4) )
| ( nil != X2
& nil = X3 )
| ( neq(X3,nil)
& ( ~ neq(X2,nil)
| ? [X5] :
( ssList(X5)
& X3 != X5
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& tl(X2) = X6
& app(X6,X7) = X5
& ? [X8] :
( ssItem(X8)
& cons(X8,nil) = X7
& hd(X2) = X8
& neq(nil,X2) )
& neq(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
| ~ neq(X1,nil)
| ? [X4] :
( ssList(X4)
& neq(X4,nil)
& segmentP(X1,X4)
& segmentP(X0,X4) )
| ( nil != X2
& nil = X3 )
| ( neq(X3,nil)
& ( ~ neq(X2,nil)
| ? [X5] :
( ssList(X5)
& X3 != X5
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& tl(X2) = X6
& app(X6,X7) = X5
& ? [X8] :
( ssItem(X8)
& cons(X8,nil) = X7
& hd(X2) = X8
& neq(nil,X2) )
& neq(nil,X2) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f126,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f126]) ).
fof(f129,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f129]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f134,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f192,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f193,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f192]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f201,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& neq(X1,nil)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(X1,X4)
| ~ segmentP(X0,X4) )
& ( nil = X2
| nil != X3 )
& ( ~ neq(X3,nil)
| ( neq(X2,nil)
& ! [X5] :
( ~ ssList(X5)
| X3 = X5
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| tl(X2) != X6
| app(X6,X7) != X5
| ! [X8] :
( ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(X2) != X8
| ~ neq(nil,X2) )
| ~ neq(nil,X2) ) ) ) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& neq(X1,nil)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(X1,X4)
| ~ segmentP(X0,X4) )
& ( nil = X2
| nil != X3 )
& ( ~ neq(X3,nil)
| ( neq(X2,nil)
& ! [X5] :
( ~ ssList(X5)
| X3 = X5
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| tl(X2) != X6
| app(X6,X7) != X5
| ! [X8] :
( ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(X2) != X8
| ~ neq(nil,X2) )
| ~ neq(nil,X2) ) ) ) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f246,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 ) ) )
& ( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f103]) ).
fof(f247,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 ) ) )
& ( ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X4,X1),X5) = X0 ) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f246]) ).
fof(f248,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 ) ) )
& ( ( ssList(sK13(X0,X1))
& ssList(sK14(X0,X1))
& app(app(sK13(X0,X1),X1),sK14(X0,X1)) = X0 )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X4,sK13(X0,X1)),skolemize(X5,sK14(X0,X1))],[f247]) ).
fof(f273,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f296,plain,
( sK54 = sK56
& sK53 = sK55
& neq(sK54,nil)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(sK54,X4)
| ~ segmentP(sK53,X4) )
& ( nil = sK55
| nil != sK56 )
& ( ~ neq(sK56,nil)
| ( neq(sK55,nil)
& ! [X5] :
( ~ ssList(X5)
| sK56 = X5
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| tl(sK55) != X6
| app(X6,X7) != X5
| ! [X8] :
( ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(sK55) != X8
| ~ neq(nil,sK55) )
| ~ neq(nil,sK55) ) ) ) ) )
& ssList(sK56)
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56)],[f222]) ).
fof(f318,plain,
! [X2,X3,X0,X1] :
( segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,X1),X3) != X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f248]) ).
fof(f386,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f387,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f388,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f389,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f396,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f397,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f399,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f401,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f403,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f134]) ).
fof(f474,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f193]) ).
fof(f477,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f482,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f201]) ).
fof(f496,plain,
ssList(sK53),
inference(cnf_transformation,[],[f296]) ).
fof(f497,plain,
ssList(sK54),
inference(cnf_transformation,[],[f296]) ).
fof(f500,plain,
! [X8,X6,X7,X5] :
( ~ neq(sK56,nil)
| ~ ssList(X5)
| sK56 = X5
| ~ ssList(X6)
| ~ ssList(X7)
| tl(sK55) != X6
| app(X6,X7) != X5
| ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(sK55) != X8
| ~ neq(nil,sK55)
| ~ neq(nil,sK55) ),
inference(cnf_transformation,[],[f296]) ).
fof(f501,plain,
( ~ neq(sK56,nil)
| neq(sK55,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f503,plain,
! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(sK54,X4)
| ~ segmentP(sK53,X4) ),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
neq(sK54,nil),
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f507,plain,
neq(sK56,nil),
inference(definition_unfolding,[],[f504,f506]) ).
fof(f508,plain,
! [X4] :
( ~ segmentP(sK56,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ segmentP(sK55,X4) ),
inference(definition_unfolding,[],[f503,f506,f505]) ).
fof(f509,plain,
ssList(sK56),
inference(definition_unfolding,[],[f497,f506]) ).
fof(f510,plain,
ssList(sK55),
inference(definition_unfolding,[],[f496,f505]) ).
fof(f516,plain,
! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(app(app(X2,X1),X3)) ),
inference(equality_resolution,[],[f318]) ).
fof(f525,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f386]) ).
fof(f538,plain,
! [X8,X7,X5] :
( ~ neq(sK56,nil)
| ~ ssList(X5)
| sK56 = X5
| ~ ssList(tl(sK55))
| ~ ssList(X7)
| app(tl(sK55),X7) != X5
| ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(sK55) != X8
| ~ neq(nil,sK55)
| ~ neq(nil,sK55) ),
inference(equality_resolution,[],[f500]) ).
fof(f539,plain,
! [X8,X7] :
( ~ neq(sK56,nil)
| ~ ssList(app(tl(sK55),X7))
| sK56 = app(tl(sK55),X7)
| ~ ssList(tl(sK55))
| ~ ssList(X7)
| ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(sK55) != X8
| ~ neq(nil,sK55)
| ~ neq(nil,sK55) ),
inference(equality_resolution,[],[f538]) ).
fof(f540,plain,
! [X8] :
( ~ neq(sK56,nil)
| ~ ssList(app(tl(sK55),cons(X8,nil)))
| sK56 = app(tl(sK55),cons(X8,nil))
| ~ ssList(tl(sK55))
| ~ ssList(cons(X8,nil))
| ~ ssItem(X8)
| hd(sK55) != X8
| ~ neq(nil,sK55)
| ~ neq(nil,sK55) ),
inference(equality_resolution,[],[f539]) ).
fof(f541,plain,
( ~ neq(sK56,nil)
| ~ ssList(app(tl(sK55),cons(hd(sK55),nil)))
| sK56 = app(tl(sK55),cons(hd(sK55),nil))
| ~ ssList(tl(sK55))
| ~ ssList(cons(hd(sK55),nil))
| ~ ssItem(hd(sK55))
| ~ neq(nil,sK55)
| ~ neq(nil,sK55) ),
inference(equality_resolution,[],[f540]) ).
fof(f542,definition,
sF57 = tl(sK55),
introduced(definition,[new_symbols(definition,[sF57])],[function_definition]) ).
fof(f543,plain,
tl(sK55) = sF57,
inference(reorient_equations,[],[f542]) ).
fof(f544,definition,
sF58 = hd(sK55),
introduced(definition,[new_symbols(definition,[sF58])],[function_definition]) ).
fof(f545,plain,
hd(sK55) = sF58,
inference(reorient_equations,[],[f544]) ).
fof(f546,definition,
sF59 = cons(sF58,nil),
introduced(definition,[new_symbols(definition,[sF59])],[function_definition]) ).
fof(f547,plain,
cons(sF58,nil) = sF59,
inference(reorient_equations,[],[f546]) ).
fof(f548,definition,
sF60 = app(sF57,sF59),
introduced(definition,[new_symbols(definition,[sF60])],[function_definition]) ).
fof(f549,plain,
app(sF57,sF59) = sF60,
inference(reorient_equations,[],[f548]) ).
fof(f550,plain,
( ~ neq(sK56,nil)
| ~ ssList(sF60)
| sK56 = sF60
| ~ ssList(sF57)
| ~ ssList(sF59)
| ~ ssItem(sF58)
| ~ neq(nil,sK55)
| ~ neq(nil,sK55) ),
inference(definition_folding,[],[f541,f545,f547,f545,f543,f549,f547,f545,f543,f549,f547,f545,f543]) ).
fof(f551,plain,
( ~ neq(sK56,nil)
| ~ ssList(sF60)
| sK56 = sF60
| ~ ssList(sF57)
| ~ ssList(sF59)
| ~ ssItem(sF58)
| ~ neq(nil,sK55) ),
inference(duplicate_literal_removal,[],[f550]) ).
fof(f556,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f525]) ).
fof(f560,definition,
( spl61_1
<=> neq(nil,sK55) ),
introduced(definition,[new_symbols(definition,[spl61_1])],[avatar_definition]) ).
fof(f562,plain,
( ~ neq(nil,sK55)
| spl61_1 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f564,definition,
( spl61_2
<=> ssItem(sF58) ),
introduced(definition,[new_symbols(definition,[spl61_2])],[avatar_definition]) ).
fof(f565,plain,
( ssItem(sF58)
| ~ spl61_2 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f566,plain,
( ~ ssItem(sF58)
| spl61_2 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f568,definition,
( spl61_3
<=> ssList(sF59) ),
introduced(definition,[new_symbols(definition,[spl61_3])],[avatar_definition]) ).
fof(f569,plain,
( ssList(sF59)
| ~ spl61_3 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f570,plain,
( ~ ssList(sF59)
| spl61_3 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f572,definition,
( spl61_4
<=> ssList(sF57) ),
introduced(definition,[new_symbols(definition,[spl61_4])],[avatar_definition]) ).
fof(f573,plain,
( ssList(sF57)
| ~ spl61_4 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f576,definition,
( spl61_5
<=> sK56 = sF60 ),
introduced(definition,[new_symbols(definition,[spl61_5])],[avatar_definition]) ).
fof(f578,plain,
( sK56 = sF60
| ~ spl61_5 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f580,definition,
( spl61_6
<=> ssList(sF60) ),
introduced(definition,[new_symbols(definition,[spl61_6])],[avatar_definition]) ).
fof(f584,definition,
( spl61_7
<=> neq(sK56,nil) ),
introduced(definition,[new_symbols(definition,[spl61_7])],[avatar_definition]) ).
fof(f587,plain,
( ~ spl61_1
| ~ spl61_2
| ~ spl61_3
| ~ spl61_4
| spl61_5
| ~ spl61_6
| ~ spl61_7 ),
inference(avatar_split_clause,[],[f551,f584,f580,f576,f572,f568,f564,f560]) ).
fof(f589,definition,
( spl61_8
<=> neq(sK55,nil) ),
introduced(definition,[new_symbols(definition,[spl61_8])],[avatar_definition]) ).
fof(f591,plain,
( neq(sK55,nil)
| ~ spl61_8 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f592,plain,
( spl61_8
| ~ spl61_7 ),
inference(avatar_split_clause,[],[f501,f584,f589]) ).
fof(f598,definition,
( spl61_10
<=> nil = sK55 ),
introduced(definition,[new_symbols(definition,[spl61_10])],[avatar_definition]) ).
fof(f599,plain,
( nil != sK55
| spl61_10 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f600,plain,
( nil = sK55
| ~ spl61_10 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f602,plain,
spl61_7,
inference(avatar_split_clause,[],[f507,f584]) ).
fof(f604,definition,
( spl61_11
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl61_11])],[avatar_definition]) ).
fof(f605,plain,
( ssList(nil)
| ~ spl61_11 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f632,plain,
spl61_11,
inference(avatar_split_clause,[],[f389,f604]) ).
fof(f635,plain,
( nil = sK55
| ~ ssList(sK55)
| ~ ssList(nil)
| spl61_1 ),
inference(resolution,[],[f562,f387]) ).
fof(f636,plain,
( nil = sK55
| ~ ssList(nil)
| spl61_1 ),
inference(forward_subsumption_resolution,[],[f635,f510]) ).
fof(f637,plain,
( nil = sK55
| spl61_1
| ~ spl61_11 ),
inference(forward_subsumption_resolution,[],[f636,f605]) ).
fof(f638,plain,
( spl61_10
| spl61_1
| ~ spl61_11 ),
inference(avatar_split_clause,[],[f637,f604,f560,f598]) ).
fof(f640,plain,
( neq(nil,nil)
| ~ spl61_8
| ~ spl61_10 ),
inference(superposition,[],[f591,f600]) ).
fof(f647,plain,
( nil = sK55
| sK55 = cons(hd(sK55),tl(sK55)) ),
inference(resolution,[],[f474,f510]) ).
fof(f652,plain,
( ssList(sF57)
| nil = sK55
| ~ ssList(sK55) ),
inference(superposition,[],[f399,f543]) ).
fof(f653,plain,
( ssItem(sF58)
| nil = sK55
| ~ ssList(sK55) ),
inference(superposition,[],[f397,f545]) ).
fof(f655,plain,
( ssList(sF60)
| ~ ssList(sF59)
| ~ ssList(sF57) ),
inference(superposition,[],[f401,f549]) ).
fof(f656,plain,
( ~ spl61_4
| ~ spl61_3
| spl61_6 ),
inference(avatar_split_clause,[],[f655,f580,f568,f572]) ).
fof(f658,plain,
( ssList(sF59)
| ~ ssItem(sF58)
| ~ ssList(nil) ),
inference(superposition,[],[f388,f547]) ).
fof(f665,plain,
sK56 = app(sK56,nil),
inference(resolution,[],[f482,f509]) ).
fof(f680,plain,
( ~ ssList(nil)
| ~ spl61_8
| ~ spl61_10 ),
inference(resolution,[],[f556,f640]) ).
fof(f682,plain,
( $false
| ~ spl61_8
| ~ spl61_10
| ~ spl61_11 ),
inference(forward_subsumption_resolution,[],[f680,f605]) ).
fof(f683,plain,
( ~ spl61_8
| ~ spl61_10
| ~ spl61_11 ),
inference(avatar_contradiction_clause,[],[f682]) ).
fof(f684,plain,
( sK55 = cons(hd(sK55),tl(sK55))
| spl61_10 ),
inference(forward_subsumption_resolution,[],[f647,f599]) ).
fof(f685,plain,
( ssList(sF57)
| ~ ssList(sK55)
| spl61_10 ),
inference(forward_subsumption_resolution,[],[f652,f599]) ).
fof(f686,plain,
( nil = sK55
| ~ ssList(sK55)
| spl61_2 ),
inference(forward_subsumption_resolution,[],[f653,f566]) ).
fof(f687,plain,
( sK55 = cons(hd(sK55),sF57)
| spl61_10 ),
inference(forward_demodulation,[],[f684,f543]) ).
fof(f688,plain,
( ssList(sF57)
| spl61_10 ),
inference(forward_subsumption_resolution,[],[f685,f510]) ).
fof(f689,plain,
( ~ ssList(sK55)
| spl61_2
| spl61_10 ),
inference(forward_subsumption_resolution,[],[f686,f599]) ).
fof(f690,plain,
( sK55 = cons(sF58,sF57)
| spl61_10 ),
inference(forward_demodulation,[],[f687,f545]) ).
fof(f691,plain,
( spl61_4
| spl61_10 ),
inference(avatar_split_clause,[],[f688,f598,f572]) ).
fof(f692,plain,
( $false
| spl61_2
| spl61_10 ),
inference(forward_subsumption_resolution,[],[f689,f510]) ).
fof(f693,plain,
( spl61_2
| spl61_10 ),
inference(avatar_contradiction_clause,[],[f692]) ).
fof(f694,plain,
( ~ ssItem(sF58)
| ~ ssList(nil)
| spl61_3 ),
inference(forward_subsumption_resolution,[],[f658,f570]) ).
fof(f695,plain,
( ~ ssList(nil)
| ~ spl61_2
| spl61_3 ),
inference(forward_subsumption_resolution,[],[f694,f565]) ).
fof(f696,plain,
( $false
| ~ spl61_2
| spl61_3
| ~ spl61_11 ),
inference(forward_subsumption_resolution,[],[f695,f605]) ).
fof(f697,plain,
( ~ spl61_2
| spl61_3
| ~ spl61_11 ),
inference(avatar_contradiction_clause,[],[f696]) ).
fof(f699,plain,
( sF59 = app(nil,sF59)
| ~ spl61_3 ),
inference(resolution,[],[f569,f403]) ).
fof(f707,definition,
( spl61_18
<=> nil = sF59 ),
introduced(definition,[new_symbols(definition,[spl61_18])],[avatar_definition]) ).
fof(f708,plain,
( nil != sF59
| spl61_18 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f709,plain,
( nil = sF59
| ~ spl61_18 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f726,plain,
( nil != sF59
| ~ ssItem(sF58)
| ~ ssList(nil) ),
inference(superposition,[],[f396,f547]) ).
fof(f729,plain,
( ~ ssItem(sF58)
| ~ ssList(nil)
| ~ spl61_18 ),
inference(forward_subsumption_resolution,[],[f726,f709]) ).
fof(f730,plain,
( ~ ssList(nil)
| ~ spl61_2
| ~ spl61_18 ),
inference(forward_subsumption_resolution,[],[f729,f565]) ).
fof(f731,plain,
( $false
| ~ spl61_2
| ~ spl61_11
| ~ spl61_18 ),
inference(forward_subsumption_resolution,[],[f730,f605]) ).
fof(f732,plain,
( ~ spl61_2
| ~ spl61_11
| ~ spl61_18 ),
inference(avatar_contradiction_clause,[],[f731]) ).
fof(f733,plain,
! [X0] :
( segmentP(app(sF60,X0),sF59)
| ~ ssList(sF57)
| ~ ssList(X0)
| ~ ssList(sF59)
| ~ ssList(app(sF60,X0)) ),
inference(superposition,[],[f516,f549]) ).
fof(f735,plain,
( ! [X0] :
( segmentP(app(sF60,X0),sF59)
| ~ ssList(X0)
| ~ ssList(sF59)
| ~ ssList(app(sF60,X0)) )
| ~ spl61_4 ),
inference(forward_subsumption_resolution,[],[f733,f573]) ).
fof(f736,plain,
( ! [X0] :
( segmentP(app(sF60,X0),sF59)
| ~ ssList(X0)
| ~ ssList(app(sF60,X0)) )
| ~ spl61_3
| ~ spl61_4 ),
inference(forward_subsumption_resolution,[],[f735,f569]) ).
fof(f737,plain,
( ! [X0] :
( segmentP(app(sK56,X0),sF59)
| ~ ssList(X0)
| ~ ssList(app(sF60,X0)) )
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5 ),
inference(forward_demodulation,[],[f736,f578]) ).
fof(f738,plain,
( ! [X0] :
( segmentP(app(sK56,X0),sF59)
| ~ ssList(app(sK56,X0))
| ~ ssList(X0) )
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5 ),
inference(forward_demodulation,[],[f737,f578]) ).
fof(f739,plain,
( segmentP(sK56,sF59)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5 ),
inference(superposition,[],[f738,f665]) ).
fof(f740,plain,
( segmentP(sK56,sF59)
| ~ ssList(nil)
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5 ),
inference(forward_subsumption_resolution,[],[f739,f509]) ).
fof(f741,plain,
( segmentP(sK56,sF59)
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| ~ spl61_11 ),
inference(forward_subsumption_resolution,[],[f740,f605]) ).
fof(f742,plain,
( ~ neq(sF59,nil)
| ~ ssList(sF59)
| ~ segmentP(sK55,sF59)
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| ~ spl61_11 ),
inference(resolution,[],[f741,f508]) ).
fof(f743,plain,
( ~ neq(sF59,nil)
| ~ segmentP(sK55,sF59)
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| ~ spl61_11 ),
inference(forward_subsumption_resolution,[],[f742,f569]) ).
fof(f745,definition,
( spl61_21
<=> segmentP(sK55,sF59) ),
introduced(definition,[new_symbols(definition,[spl61_21])],[avatar_definition]) ).
fof(f747,plain,
( ~ segmentP(sK55,sF59)
| spl61_21 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f749,definition,
( spl61_22
<=> neq(sF59,nil) ),
introduced(definition,[new_symbols(definition,[spl61_22])],[avatar_definition]) ).
fof(f751,plain,
( ~ neq(sF59,nil)
| spl61_22 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f752,plain,
( ~ spl61_21
| ~ spl61_22
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| ~ spl61_11 ),
inference(avatar_split_clause,[],[f743,f604,f576,f572,f568,f749,f745]) ).
fof(f755,plain,
( ! [X0] :
( segmentP(app(sF59,X0),sF59)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sF59)
| ~ ssList(app(sF59,X0)) )
| ~ spl61_3 ),
inference(superposition,[],[f516,f699]) ).
fof(f757,plain,
( ! [X0] :
( segmentP(app(sF59,X0),sF59)
| ~ ssList(X0)
| ~ ssList(sF59)
| ~ ssList(app(sF59,X0)) )
| ~ spl61_3
| ~ spl61_11 ),
inference(forward_subsumption_resolution,[],[f755,f605]) ).
fof(f758,plain,
( ! [X0] :
( segmentP(app(sF59,X0),sF59)
| ~ ssList(X0)
| ~ ssList(app(sF59,X0)) )
| ~ spl61_3
| ~ spl61_11 ),
inference(forward_subsumption_resolution,[],[f757,f569]) ).
fof(f765,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,sF57) = app(cons(X0,nil),sF57) )
| ~ spl61_4 ),
inference(resolution,[],[f477,f573]) ).
fof(f771,plain,
( cons(sF58,sF57) = app(cons(sF58,nil),sF57)
| ~ spl61_2
| ~ spl61_4 ),
inference(resolution,[],[f765,f565]) ).
fof(f772,plain,
( cons(sF58,sF57) = app(sF59,sF57)
| ~ spl61_2
| ~ spl61_4 ),
inference(forward_demodulation,[],[f771,f547]) ).
fof(f773,plain,
( sK55 = app(sF59,sF57)
| ~ spl61_2
| ~ spl61_4
| spl61_10 ),
inference(forward_demodulation,[],[f772,f690]) ).
fof(f774,plain,
( segmentP(sK55,sF59)
| ~ ssList(sF57)
| ~ ssList(sK55)
| ~ spl61_2
| ~ spl61_3
| ~ spl61_4
| spl61_10
| ~ spl61_11 ),
inference(superposition,[],[f758,f773]) ).
fof(f778,plain,
( ~ ssList(sF57)
| ~ ssList(sK55)
| ~ spl61_2
| ~ spl61_3
| ~ spl61_4
| spl61_10
| ~ spl61_11
| spl61_21 ),
inference(forward_subsumption_resolution,[],[f774,f747]) ).
fof(f780,plain,
( ~ ssList(sK55)
| ~ spl61_2
| ~ spl61_3
| ~ spl61_4
| spl61_10
| ~ spl61_11
| spl61_21 ),
inference(forward_subsumption_resolution,[],[f778,f573]) ).
fof(f781,plain,
( $false
| ~ spl61_2
| ~ spl61_3
| ~ spl61_4
| spl61_10
| ~ spl61_11
| spl61_21 ),
inference(forward_subsumption_resolution,[],[f780,f510]) ).
fof(f782,plain,
( ~ spl61_2
| ~ spl61_3
| ~ spl61_4
| spl61_10
| ~ spl61_11
| spl61_21 ),
inference(avatar_contradiction_clause,[],[f781]) ).
fof(f783,plain,
( nil = sF59
| ~ ssList(nil)
| ~ ssList(sF59)
| spl61_22 ),
inference(resolution,[],[f751,f387]) ).
fof(f784,plain,
( ~ ssList(nil)
| ~ ssList(sF59)
| spl61_18
| spl61_22 ),
inference(forward_subsumption_resolution,[],[f783,f708]) ).
fof(f785,plain,
( ~ ssList(sF59)
| ~ spl61_11
| spl61_18
| spl61_22 ),
inference(forward_subsumption_resolution,[],[f784,f605]) ).
fof(f786,plain,
( $false
| ~ spl61_3
| ~ spl61_11
| spl61_18
| spl61_22 ),
inference(forward_subsumption_resolution,[],[f785,f569]) ).
fof(f787,plain,
( ~ spl61_3
| ~ spl61_11
| spl61_18
| spl61_22 ),
inference(avatar_contradiction_clause,[],[f786]) ).
cnf(s1,plain,
( ~ spl61_1
| ~ spl61_2
| ~ spl61_3
| ~ spl61_4
| spl61_5
| ~ spl61_6
| ~ spl61_7 ),
inference(sat_conversion,[],[f587]) ).
cnf(s2,plain,
( ~ spl61_7
| spl61_8 ),
inference(sat_conversion,[],[f592]) ).
cnf(s4,plain,
spl61_7,
inference(sat_conversion,[],[f602]) ).
cnf(s12,plain,
spl61_11,
inference(sat_conversion,[],[f632]) ).
cnf(s13,plain,
( spl61_1
| spl61_10
| ~ spl61_11 ),
inference(sat_conversion,[],[f638]) ).
cnf(s15,plain,
( ~ spl61_3
| ~ spl61_4
| spl61_6 ),
inference(sat_conversion,[],[f656]) ).
cnf(s16,plain,
( ~ spl61_8
| ~ spl61_10
| ~ spl61_11 ),
inference(sat_conversion,[],[f683]) ).
cnf(s17,plain,
( spl61_4
| spl61_10 ),
inference(sat_conversion,[],[f691]) ).
cnf(s18,plain,
( spl61_2
| spl61_10 ),
inference(sat_conversion,[],[f693]) ).
cnf(s19,plain,
( ~ spl61_2
| spl61_3
| ~ spl61_11 ),
inference(sat_conversion,[],[f697]) ).
cnf(s22,plain,
( ~ spl61_2
| ~ spl61_11
| ~ spl61_18 ),
inference(sat_conversion,[],[f732]) ).
cnf(s23,plain,
( ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| ~ spl61_11
| ~ spl61_21
| ~ spl61_22 ),
inference(sat_conversion,[],[f752]) ).
cnf(s24,plain,
( ~ spl61_2
| ~ spl61_3
| ~ spl61_4
| spl61_10
| ~ spl61_11
| spl61_21 ),
inference(sat_conversion,[],[f782]) ).
cnf(s25,plain,
( ~ spl61_3
| ~ spl61_11
| spl61_18
| spl61_22 ),
inference(sat_conversion,[],[f787]) ).
cnf(s29,plain,
spl61_8,
inference(rat,[],[s2,s4]) ).
cnf(s30,plain,
~ spl61_10,
inference(rat,[],[s16,s12,s29]) ).
cnf(s31,plain,
spl61_2,
inference(rat,[],[s18,s30]) ).
cnf(s32,plain,
spl61_4,
inference(rat,[],[s17,s30]) ).
cnf(s33,plain,
spl61_1,
inference(rat,[],[s13,s12,s30]) ).
cnf(s35,plain,
~ spl61_18,
inference(rat,[],[s22,s12,s31]) ).
cnf(s36,plain,
spl61_3,
inference(rat,[],[s19,s12,s31]) ).
cnf(s37,plain,
spl61_22,
inference(rat,[],[s25,s35,s12,s36]) ).
cnf(s38,plain,
spl61_21,
inference(rat,[],[s24,s31,s12,s30,s32,s36]) ).
cnf(s39,plain,
~ spl61_5,
inference(rat,[],[s23,s37,s38,s12,s32,s36]) ).
cnf(s41,plain,
spl61_6,
inference(rat,[],[s15,s32,s36]) ).
cnf(s42,plain,
$false,
inference(rat,[],[s1,s4,s41,s39,s32,s36,s31,s33]) ).
fof(f788,plain,
$false,
inference(avatar_sat_refutation,[],[s42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC089+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n009.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 07:48:45 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 6.48/1.93 % (2869684)Detected formulas, will run a generic FOF schedule.
% 6.48/1.93 % (2869693)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=685942351:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.48/1.93 % (2869693)Instruction limit reached!
% 6.48/1.93 % (2869693)------------------------------
% 6.48/1.93 % (2869693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (2869693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (2869693)CaDiCaL version: 2.1.3
% 6.48/1.93 % (2869693)Termination reason: Instruction limit
% 6.48/1.93 % (2869693)Termination phase: Saturation
% 6.48/1.93 % (2869693)Time elapsed: 0.037 s
% 6.48/1.93 % (2869693)Peak memory usage: 88 MB
% 6.48/1.93 % (2869693)Instructions burned: 121 (million)
% 6.48/1.93 % (2869694)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2085710369:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.48/1.93 % (2869692)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2001148165:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.48/1.93 % (2869689)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=4127747988:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.48/1.93 % (2869695)dis-21_1_sil=8000:lcm=predicate:random_seed=2668263891: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)
% 6.48/1.93 % (2869691)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=1538667942:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.48/1.93 % (2869690)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=3243543201:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.48/1.93 % (2869692)Instruction limit reached!
% 6.48/1.93 % (2869692)------------------------------
% 6.48/1.93 % (2869692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (2869692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (2869692)CaDiCaL version: 2.1.3
% 6.48/1.93 % (2869692)Termination reason: Instruction limit
% 6.48/1.93 % (2869692)Termination phase: Saturation
% 6.48/1.93 % (2869692)Time elapsed: 0.059 s
% 6.48/1.93 % (2869692)Peak memory usage: 89 MB
% 6.48/1.93 % (2869692)Instructions burned: 110 (million)
% 6.48/1.93 % (2869695)Instruction limit reached!
% 6.48/1.93 % (2869695)------------------------------
% 6.48/1.93 % (2869695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (2869695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (2869695)CaDiCaL version: 2.1.3
% 6.48/1.93 % (2869695)Termination reason: Instruction limit
% 6.48/1.93 % (2869695)Termination phase: Saturation
% 6.48/1.93 % (2869695)Time elapsed: 0.074 s
% 6.48/1.93 % (2869695)Peak memory usage: 90 MB
% 6.48/1.93 % (2869695)Instructions burned: 130 (million)
% 6.48/1.93 % (2869698)lrs+10_1_sil=8000:sp=occurrence:random_seed=4010937115:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.48/1.93 % (2869694)Instruction limit reached!
% 6.48/1.93 % (2869694)------------------------------
% 6.48/1.93 % (2869694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (2869694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (2869694)CaDiCaL version: 2.1.3
% 6.48/1.93 % (2869694)Termination reason: Instruction limit
% 6.48/1.93 % (2869694)Termination phase: Saturation
% 6.48/1.93 % (2869694)Time elapsed: 0.095 s
% 6.48/1.93 % (2869694)Peak memory usage: 90 MB
% 6.48/1.93 % (2869694)Instructions burned: 140 (million)
% 6.48/1.93 % (2869698)Instruction limit reached!
% 6.48/1.93 % (2869698)------------------------------
% 6.48/1.93 % (2869698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (2869698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (2869698)CaDiCaL version: 2.1.3
% 6.48/1.93 % (2869698)Termination reason: Instruction limit
% 6.48/1.93 % (2869698)Termination phase: Saturation
% 6.48/1.93 % (2869698)Time elapsed: 0.089 s
% 6.48/1.93 % (2869698)Peak memory usage: 92 MB
% 6.48/1.93 % (2869698)Instructions burned: 287 (million)
% 6.48/1.93 % (2869704)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2685036946:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.48/1.93 % (2869706)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2209692960:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.48/1.93 % (2869707)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=555284571:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.48/1.93 % (2869708)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=191232247:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.48/1.93 % (2869704)Instruction limit reached!
% 6.48/1.93 % (2869704)------------------------------
% 6.48/1.93 % (2869704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (2869704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (2869704)CaDiCaL version: 2.1.3
% 6.48/1.93 % (2869704)Termination reason: Instruction limit
% 6.48/1.93 % (2869704)Termination phase: Saturation
% 6.48/1.93 % (2869704)Time elapsed: 0.085 s
% 6.48/1.93 % (2869704)Peak memory usage: 94 MB
% 6.48/1.93 % (2869704)Instructions burned: 160 (million)
% 6.48/1.93 % (2869708)Instruction limit reached!
% 6.48/1.93 % (2869708)------------------------------
% 6.48/1.93 % (2869708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (2869708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (2869708)CaDiCaL version: 2.1.3
% 6.48/1.93 % (2869708)Termination reason: Instruction limit
% 6.48/1.93 % (2869708)Termination phase: Saturation
% 6.48/1.93 % (2869708)Time elapsed: 0.081 s
% 6.48/1.93 % (2869708)Peak memory usage: 89 MB
% 6.48/1.93 % (2869708)Instructions burned: 295 (million)
% 6.48/1.93 % (2869707)Instruction limit reached!
% 6.48/1.93 % (2869707)------------------------------
% 6.48/1.93 % (2869707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (2869707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (2869707)CaDiCaL version: 2.1.3
% 6.48/1.93 % (2869707)Termination reason: Instruction limit
% 6.48/1.93 % (2869707)Termination phase: Saturation
% 6.48/1.93 % (2869707)Time elapsed: 0.119 s
% 6.48/1.93 % (2869707)Peak memory usage: 93 MB
% 6.48/1.93 % (2869707)Instructions burned: 248 (million)
% 6.48/1.93 % (2869706)Instruction limit reached!
% 6.48/1.93 % (2869706)------------------------------
% 6.48/1.93 % (2869706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (2869706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (2869706)CaDiCaL version: 2.1.3
% 6.48/1.93 % (2869706)Termination reason: Instruction limit
% 6.48/1.93 % (2869706)Termination phase: Saturation
% 6.48/1.93 % (2869706)Time elapsed: 0.198 s
% 6.48/1.93 % (2869706)Peak memory usage: 92 MB
% 6.48/1.93 % (2869706)Instructions burned: 326 (million)
% 6.48/1.93 % (2869714)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2154305594:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 6.48/1.93 % (2869713)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2879977919:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.48/1.93 % (2869714)Instruction limit reached!
% 6.48/1.93 % (2869714)------------------------------
% 6.48/1.93 % (2869714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (2869714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (2869714)CaDiCaL version: 2.1.3
% 6.48/1.93 % (2869714)Termination reason: Instruction limit
% 6.48/1.93 % (2869714)Termination phase: Saturation
% 6.48/1.93 % (2869714)Time elapsed: 0.041 s
% 6.48/1.93 % (2869714)Peak memory usage: 90 MB
% 6.48/1.93 % (2869714)Instructions burned: 113 (million)
% 6.48/1.93 % (2869715)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2768682330:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.48/1.93 % (2869716)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1954385790:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.48/1.93 % (2869715)Instruction limit reached!
% 6.48/1.93 % (2869715)------------------------------
% 6.48/1.93 % (2869715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (2869715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (2869715)CaDiCaL version: 2.1.3
% 6.48/1.93 % (2869715)Termination reason: Instruction limit
% 6.48/1.93 % (2869715)Termination phase: Saturation
% 6.48/1.93 % (2869715)Time elapsed: 0.065 s
% 6.48/1.93 % (2869715)Peak memory usage: 90 MB
% 6.48/1.93 % (2869715)Instructions burned: 128 (million)
% 6.48/1.93 % (2869719)lrs+10_1_sil=8000:sp=occurrence:random_seed=159857732:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.48/1.93 % (2869716)Instruction limit reached!
% 6.48/1.93 % (2869716)------------------------------
% 6.48/1.93 % (2869716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (2869716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (2869716)CaDiCaL version: 2.1.3
% 6.48/1.93 % (2869716)Termination reason: Instruction limit
% 6.48/1.93 % (2869716)Termination phase: Saturation
% 6.48/1.93 % (2869716)Time elapsed: 0.066 s
% 6.48/1.93 % (2869716)Peak memory usage: 89 MB
% 6.48/1.93 % (2869716)Instructions burned: 115 (million)
% 6.48/1.93 % (2869722)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2033897252:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 6.48/1.93 % (2869689)First to succeed.
% 6.48/1.93 % (2869689)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2869684"
% 6.48/1.93 % (2869724)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2255276843:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.48/1.93 % (2869719)Instruction limit reached!
% 6.48/1.93 % (2869719)------------------------------
% 6.48/1.93 % (2869719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (2869719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (2869719)CaDiCaL version: 2.1.3
% 6.48/1.93 % (2869719)Termination reason: Instruction limit
% 6.48/1.93 % (2869719)Termination phase: Saturation
% 6.48/1.93 % (2869719)Time elapsed: 0.266 s
% 6.48/1.93 % (2869719)Peak memory usage: 101 MB
% 6.48/1.93 % (2869719)Instructions burned: 909 (million)
% 6.48/1.93 % (2869727)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2453827966:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 6.48/1.93 % (2869689)Refutation found. Thanks to Tanya!
% 6.48/1.93 % SZS status Theorem for theBenchmark
% 6.48/1.93 % SZS output start Proof for theBenchmark
% See solution above
% 8.17/2.13 % (2869689)------------------------------
% 8.17/2.13 % (2869689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.17/2.13 % (2869689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.17/2.13 % (2869689)CaDiCaL version: 2.1.3
% 8.17/2.13 % (2869689)Termination reason: Refutation
% 8.17/2.13 % (2869689)Time elapsed: 0.670 s
% 8.17/2.13 % (2869689)Peak memory usage: 132 MB
% 8.17/2.13 % (2869689)Instructions burned: 1013 (million)
% 8.17/2.13 % (2869689)------------------------------
% 8.17/2.13 % (2869689)------------------------------
% 8.17/2.13 % (2869684)Success in time 1.08 s
% 8.17/2.13 % Vampire exiting
%------------------------------------------------------------------------------