%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC299+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 : n007.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 5.54s 1.28s
% Output : Refutation 6.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 31
% Syntax : Number of formulae : 215 ( 40 unt; 21 def)
% Number of atoms : 813 ( 179 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 1039 ( 441 ~; 434 |; 108 &)
% ( 16 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 15 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 16 con; 0-2 aty)
% Number of variables : 148 ( 0 sgn 102 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
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(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X1
& nil = X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax84) ).
fof(f86,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax86) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ( app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != X0
| ~ lt(X5,X4) ) ) ) ) ) )
| ( ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> ! [X11] :
( ssList(X11)
=> ( cons(X9,nil) != X2
| app(app(X10,X2),X11) != X3
| ? [X12] :
( ssItem(X12)
& memberP(X10,X12)
& lt(X9,X12) )
| ? [X13] :
( ssItem(X13)
& memberP(X11,X13)
& lt(X13,X9) ) ) ) ) )
& ( 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] :
( 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) ) ) ) ) ) )
| ( ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> ! [X11] :
( ssList(X11)
=> ( cons(X9,nil) != X2
| app(app(X10,X2),X11) != X3
| ? [X12] :
( ssItem(X12)
& memberP(X10,X12)
& lt(X9,X12) )
| ? [X13] :
( ssItem(X13)
& memberP(X11,X13)
& lt(X13,X9) ) ) ) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
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(f129,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f129]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X1
& nil = X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f201,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f204,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f205,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f204]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = 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) )
& ( ? [X9] :
( ? [X10] :
( ? [X11] :
( cons(X9,nil) = X2
& app(app(X10,X2),X11) = X3
& ! [X12] :
( ~ ssItem(X12)
| ~ memberP(X10,X12)
| ~ lt(X9,X12) )
& ! [X13] :
( ~ ssItem(X13)
| ~ memberP(X11,X13)
| ~ lt(X13,X9) )
& ssList(X11) )
& ssList(X10) )
& ssItem(X9) )
| ( nil = X3
& 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
& ? [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) )
& ( ? [X9] :
( ? [X10] :
( ? [X11] :
( cons(X9,nil) = X2
& app(app(X10,X2),X11) = X3
& ! [X12] :
( ~ ssItem(X12)
| ~ memberP(X10,X12)
| ~ lt(X9,X12) )
& ! [X13] :
( ~ ssItem(X13)
| ~ memberP(X11,X13)
| ~ lt(X13,X9) )
& ssList(X11) )
& ssList(X10) )
& ssItem(X9) )
| ( nil = X3
& nil = X2 ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f232,definition,
! [X2,X3] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( cons(X9,nil) = X2
& app(app(X10,X2),X11) = X3
& ! [X12] :
( ~ ssItem(X12)
| ~ memberP(X10,X12)
| ~ lt(X9,X12) )
& ! [X13] :
( ~ ssItem(X13)
| ~ memberP(X11,X13)
| ~ lt(X13,X9) )
& ssList(X11) )
& ssList(X10) )
& ssItem(X9) )
| ~ sP6(X2,X3) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f233,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = 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) )
& ( sP6(X2,X3)
| ( nil = X3
& nil = X2 ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(definition_folding,[],[f222,f232]) ).
fof(f294,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X1
| nil != X0 )
& ( ( nil = X1
& nil = X0 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f200]) ).
fof(f295,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X1
| nil != X0 )
& ( ( nil = X1
& nil = X0 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f294]) ).
fof(f298,plain,
! [X2,X3] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( cons(X9,nil) = X2
& app(app(X10,X2),X11) = X3
& ! [X12] :
( ~ ssItem(X12)
| ~ memberP(X10,X12)
| ~ lt(X9,X12) )
& ! [X13] :
( ~ ssItem(X13)
| ~ memberP(X11,X13)
| ~ lt(X13,X9) )
& ssList(X11) )
& ssList(X10) )
& ssItem(X9) )
| ~ sP6(X2,X3) ),
inference(nnf_transformation,[],[f232]) ).
fof(f299,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( cons(X2,nil) = X0
& app(app(X3,X0),X4) = X1
& ! [X5] :
( ~ ssItem(X5)
| ~ memberP(X3,X5)
| ~ lt(X2,X5) )
& ! [X6] :
( ~ ssItem(X6)
| ~ memberP(X4,X6)
| ~ lt(X6,X2) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
| ~ sP6(X0,X1) ),
inference(rectify,[],[f298]) ).
fof(f300,plain,
! [X0,X1] :
( ( cons(sK54(X0,X1),nil) = X0
& app(app(sK55(X0,X1),X0),sK56(X0,X1)) = X1
& ! [X5] :
( ~ ssItem(X5)
| ~ memberP(sK55(X0,X1),X5)
| ~ lt(sK54(X0,X1),X5) )
& ! [X6] :
( ~ ssItem(X6)
| ~ memberP(sK56(X0,X1),X6)
| ~ lt(X6,sK54(X0,X1)) )
& ssList(sK56(X0,X1))
& ssList(sK55(X0,X1))
& ssItem(sK54(X0,X1)) )
| ~ sP6(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK54,sK55,sK56]),skolemize(X2,sK54(X0,X1)),skolemize(X3,sK55(X0,X1)),skolemize(X4,sK56(X0,X1))],[f299]) ).
fof(f301,plain,
( sK58 = sK60
& sK57 = sK59
& sK57 = app(app(app(app(sK63,cons(sK61,nil)),sK64),cons(sK62,nil)),sK65)
& lt(sK62,sK61)
& ssList(sK65)
& ssList(sK64)
& ssList(sK63)
& ssItem(sK62)
& ssItem(sK61)
& ( sP6(sK59,sK60)
| ( nil = sK60
& nil = sK59 ) )
& ssList(sK60)
& ssList(sK59)
& ssList(sK58)
& ssList(sK57) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK57,sK58,sK59,sK60,sK61,sK62,sK63,sK64,sK65]),skolemize(X0,sK57),skolemize(X1,sK58),skolemize(X2,sK59),skolemize(X3,sK60),skolemize(X4,sK61),skolemize(X5,sK62),skolemize(X6,sK63),skolemize(X7,sK64),skolemize(X8,sK65)],[f233]) ).
fof(f393,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f394,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f401,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f404,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f405,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f406,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f484,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f485,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f487,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f201]) ).
fof(f489,plain,
! [X0,X1] :
( ~ ssList(X1)
| nil = X0
| tl(app(X0,X1)) = app(tl(X0),X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f501,plain,
! [X0,X1] :
( ssItem(sK54(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f300]) ).
fof(f507,plain,
! [X0,X1] :
( ~ sP6(X0,X1)
| cons(sK54(X0,X1),nil) = X0 ),
inference(cnf_transformation,[],[f300]) ).
fof(f512,plain,
( sP6(sK59,sK60)
| nil = sK59 ),
inference(cnf_transformation,[],[f301]) ).
fof(f514,plain,
ssItem(sK61),
inference(cnf_transformation,[],[f301]) ).
fof(f515,plain,
ssItem(sK62),
inference(cnf_transformation,[],[f301]) ).
fof(f516,plain,
ssList(sK63),
inference(cnf_transformation,[],[f301]) ).
fof(f517,plain,
ssList(sK64),
inference(cnf_transformation,[],[f301]) ).
fof(f518,plain,
ssList(sK65),
inference(cnf_transformation,[],[f301]) ).
fof(f520,plain,
sK57 = app(app(app(app(sK63,cons(sK61,nil)),sK64),cons(sK62,nil)),sK65),
inference(cnf_transformation,[],[f301]) ).
fof(f521,plain,
sK57 = sK59,
inference(cnf_transformation,[],[f301]) ).
fof(f523,plain,
sK59 = app(app(app(app(sK63,cons(sK61,nil)),sK64),cons(sK62,nil)),sK65),
inference(definition_unfolding,[],[f520,f521]) ).
fof(f553,definition,
sF66 = cons(sK61,nil),
introduced(definition,[new_symbols(definition,[sF66])],[function_definition]) ).
fof(f554,plain,
cons(sK61,nil) = sF66,
inference(reorient_equations,[],[f553]) ).
fof(f555,definition,
sF67 = app(sK63,sF66),
introduced(definition,[new_symbols(definition,[sF67])],[function_definition]) ).
fof(f556,plain,
app(sK63,sF66) = sF67,
inference(reorient_equations,[],[f555]) ).
fof(f557,definition,
sF68 = app(sF67,sK64),
introduced(definition,[new_symbols(definition,[sF68])],[function_definition]) ).
fof(f558,plain,
app(sF67,sK64) = sF68,
inference(reorient_equations,[],[f557]) ).
fof(f559,definition,
sF69 = cons(sK62,nil),
introduced(definition,[new_symbols(definition,[sF69])],[function_definition]) ).
fof(f560,plain,
cons(sK62,nil) = sF69,
inference(reorient_equations,[],[f559]) ).
fof(f561,definition,
sF70 = app(sF68,sF69),
introduced(definition,[new_symbols(definition,[sF70])],[function_definition]) ).
fof(f562,plain,
app(sF68,sF69) = sF70,
inference(reorient_equations,[],[f561]) ).
fof(f563,definition,
sF71 = app(sF70,sK65),
introduced(definition,[new_symbols(definition,[sF71])],[function_definition]) ).
fof(f564,plain,
app(sF70,sK65) = sF71,
inference(reorient_equations,[],[f563]) ).
fof(f565,plain,
sK59 = sF71,
inference(definition_folding,[],[f523,f564,f562,f560,f558,f556,f554]) ).
fof(f574,definition,
( spl72_1
<=> nil = sK59 ),
introduced(definition,[new_symbols(definition,[spl72_1])],[avatar_definition]) ).
fof(f576,plain,
( nil = sK59
| ~ spl72_1 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f578,definition,
( spl72_2
<=> sP6(sK59,sK60) ),
introduced(definition,[new_symbols(definition,[spl72_2])],[avatar_definition]) ).
fof(f580,plain,
( sP6(sK59,sK60)
| ~ spl72_2 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f581,plain,
( spl72_1
| spl72_2 ),
inference(avatar_split_clause,[],[f512,f578,f574]) ).
fof(f588,definition,
( spl72_4
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl72_4])],[avatar_definition]) ).
fof(f589,plain,
( ssList(nil)
| ~ spl72_4 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f616,plain,
spl72_4,
inference(avatar_split_clause,[],[f394,f588]) ).
fof(f619,plain,
sK59 = app(sF70,sK65),
inference(forward_demodulation,[],[f564,f565]) ).
fof(f620,plain,
( sK59 = cons(sK54(sK59,sK60),nil)
| ~ spl72_2 ),
inference(resolution,[],[f580,f507]) ).
fof(f622,plain,
( ssList(sF67)
| ~ ssList(sF66)
| ~ ssList(sK63) ),
inference(superposition,[],[f406,f556]) ).
fof(f623,plain,
( ssList(sF68)
| ~ ssList(sK64)
| ~ ssList(sF67) ),
inference(superposition,[],[f406,f558]) ).
fof(f624,plain,
( ssList(sF70)
| ~ ssList(sF69)
| ~ ssList(sF68) ),
inference(superposition,[],[f406,f562]) ).
fof(f627,definition,
( spl72_10
<=> ssList(sF68) ),
introduced(definition,[new_symbols(definition,[spl72_10])],[avatar_definition]) ).
fof(f628,plain,
( ssList(sF68)
| ~ spl72_10 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f631,definition,
( spl72_11
<=> ssList(sF69) ),
introduced(definition,[new_symbols(definition,[spl72_11])],[avatar_definition]) ).
fof(f632,plain,
( ssList(sF69)
| ~ spl72_11 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f635,definition,
( spl72_12
<=> ssList(sF70) ),
introduced(definition,[new_symbols(definition,[spl72_12])],[avatar_definition]) ).
fof(f637,plain,
( ssList(sF70)
| ~ spl72_12 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f638,plain,
( ~ spl72_10
| ~ spl72_11
| spl72_12 ),
inference(avatar_split_clause,[],[f624,f635,f631,f627]) ).
fof(f639,plain,
( ssList(sF68)
| ~ ssList(sF67) ),
inference(forward_subsumption_resolution,[],[f623,f517]) ).
fof(f640,plain,
( ssList(sF67)
| ~ ssList(sF66) ),
inference(forward_subsumption_resolution,[],[f622,f516]) ).
fof(f642,definition,
( spl72_13
<=> ssList(sF67) ),
introduced(definition,[new_symbols(definition,[spl72_13])],[avatar_definition]) ).
fof(f643,plain,
( ssList(sF67)
| ~ spl72_13 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f645,plain,
( ~ spl72_13
| spl72_10 ),
inference(avatar_split_clause,[],[f639,f627,f642]) ).
fof(f647,definition,
( spl72_14
<=> ssList(sF66) ),
introduced(definition,[new_symbols(definition,[spl72_14])],[avatar_definition]) ).
fof(f648,plain,
( ssList(sF66)
| ~ spl72_14 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f649,plain,
( ~ ssList(sF66)
| spl72_14 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f650,plain,
( ~ spl72_14
| spl72_13 ),
inference(avatar_split_clause,[],[f640,f642,f647]) ).
fof(f658,plain,
( nil != sF66
| ~ ssItem(sK61)
| ~ ssList(nil) ),
inference(superposition,[],[f401,f554]) ).
fof(f659,plain,
( nil != sF69
| ~ ssItem(sK62)
| ~ ssList(nil) ),
inference(superposition,[],[f401,f560]) ).
fof(f662,plain,
( nil != sF69
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f659,f515]) ).
fof(f663,plain,
( nil != sF66
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f658,f514]) ).
fof(f665,definition,
( spl72_15
<=> ssItem(sK54(sK59,sK60)) ),
introduced(definition,[new_symbols(definition,[spl72_15])],[avatar_definition]) ).
fof(f666,plain,
( ssItem(sK54(sK59,sK60))
| ~ spl72_15 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f667,plain,
( ~ ssItem(sK54(sK59,sK60))
| spl72_15 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f669,plain,
( nil != sF69
| ~ spl72_4 ),
inference(forward_subsumption_resolution,[],[f662,f589]) ).
fof(f670,plain,
( nil != sF66
| ~ spl72_4 ),
inference(forward_subsumption_resolution,[],[f663,f589]) ).
fof(f680,plain,
( ssList(sF66)
| ~ ssItem(sK61)
| ~ ssList(nil) ),
inference(superposition,[],[f393,f554]) ).
fof(f681,plain,
( ssList(sF69)
| ~ ssItem(sK62)
| ~ ssList(nil) ),
inference(superposition,[],[f393,f560]) ).
fof(f683,plain,
( ssList(sF69)
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f681,f515]) ).
fof(f684,plain,
( ~ ssItem(sK61)
| ~ ssList(nil)
| spl72_14 ),
inference(forward_subsumption_resolution,[],[f680,f649]) ).
fof(f685,plain,
( ssList(sF69)
| ~ spl72_4 ),
inference(forward_subsumption_resolution,[],[f683,f589]) ).
fof(f686,plain,
( ~ ssList(nil)
| spl72_14 ),
inference(forward_subsumption_resolution,[],[f684,f514]) ).
fof(f687,plain,
( spl72_11
| ~ spl72_4 ),
inference(avatar_split_clause,[],[f685,f588,f631]) ).
fof(f688,plain,
( $false
| ~ spl72_4
| spl72_14 ),
inference(forward_subsumption_resolution,[],[f686,f589]) ).
fof(f689,plain,
( ~ spl72_4
| spl72_14 ),
inference(avatar_contradiction_clause,[],[f688]) ).
fof(f691,plain,
( sF70 = app(sF70,nil)
| ~ spl72_12 ),
inference(resolution,[],[f637,f487]) ).
fof(f697,plain,
( sF67 = app(sF67,nil)
| ~ spl72_13 ),
inference(resolution,[],[f643,f487]) ).
fof(f703,plain,
( nil != sF67
| nil = sF66
| ~ ssList(sF66)
| ~ ssList(sK63) ),
inference(superposition,[],[f485,f556]) ).
fof(f704,plain,
( nil != sF68
| nil = sK64
| ~ ssList(sK64)
| ~ ssList(sF67) ),
inference(superposition,[],[f485,f558]) ).
fof(f705,plain,
( nil != sF70
| nil = sF69
| ~ ssList(sF69)
| ~ ssList(sF68) ),
inference(superposition,[],[f485,f562]) ).
fof(f707,plain,
( nil != sF70
| ~ ssList(sF69)
| ~ ssList(sF68)
| ~ spl72_4 ),
inference(forward_subsumption_resolution,[],[f705,f669]) ).
fof(f708,plain,
( nil != sF68
| nil = sK64
| ~ ssList(sF67) ),
inference(forward_subsumption_resolution,[],[f704,f517]) ).
fof(f709,plain,
( nil != sF67
| ~ ssList(sF66)
| ~ ssList(sK63)
| ~ spl72_4 ),
inference(forward_subsumption_resolution,[],[f703,f670]) ).
fof(f710,plain,
( nil != sF70
| ~ ssList(sF68)
| ~ spl72_4
| ~ spl72_11 ),
inference(forward_subsumption_resolution,[],[f707,f632]) ).
fof(f711,plain,
( nil != sF68
| nil = sK64
| ~ spl72_13 ),
inference(forward_subsumption_resolution,[],[f708,f643]) ).
fof(f712,plain,
( nil != sF67
| ~ ssList(sK63)
| ~ spl72_4
| ~ spl72_14 ),
inference(forward_subsumption_resolution,[],[f709,f648]) ).
fof(f713,plain,
( nil != sF70
| ~ spl72_4
| ~ spl72_10
| ~ spl72_11 ),
inference(forward_subsumption_resolution,[],[f710,f628]) ).
fof(f715,definition,
( spl72_16
<=> nil = sK64 ),
introduced(definition,[new_symbols(definition,[spl72_16])],[avatar_definition]) ).
fof(f717,plain,
( nil = sK64
| ~ spl72_16 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f719,definition,
( spl72_17
<=> nil = sF68 ),
introduced(definition,[new_symbols(definition,[spl72_17])],[avatar_definition]) ).
fof(f720,plain,
( nil = sF68
| ~ spl72_17 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f721,plain,
( nil != sF68
| spl72_17 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f722,plain,
( spl72_16
| ~ spl72_17
| ~ spl72_13 ),
inference(avatar_split_clause,[],[f711,f642,f719,f715]) ).
fof(f723,plain,
( nil != sF67
| ~ spl72_4
| ~ spl72_14 ),
inference(forward_subsumption_resolution,[],[f712,f516]) ).
fof(f817,plain,
( nil != sK59
| nil = sF70
| ~ ssList(sK65)
| ~ ssList(sF70) ),
inference(superposition,[],[f484,f619]) ).
fof(f963,definition,
( spl72_27
<=> nil = sK65 ),
introduced(definition,[new_symbols(definition,[spl72_27])],[avatar_definition]) ).
fof(f964,plain,
( nil != sK65
| spl72_27 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f965,plain,
( nil = sK65
| ~ spl72_27 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f1013,plain,
( ~ sP6(sK59,sK60)
| spl72_15 ),
inference(resolution,[],[f667,f501]) ).
fof(f1014,plain,
( $false
| ~ spl72_2
| spl72_15 ),
inference(forward_subsumption_resolution,[],[f1013,f580]) ).
fof(f1015,plain,
( ~ spl72_2
| spl72_15 ),
inference(avatar_contradiction_clause,[],[f1014]) ).
fof(f1031,plain,
! [X0] :
( ~ ssList(X0)
| tl(app(X0,sK65)) = app(tl(X0),sK65)
| nil = X0 ),
inference(resolution,[],[f489,f518]) ).
fof(f1035,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(X0,sF69)) = app(tl(X0),sF69)
| nil = X0 )
| ~ spl72_11 ),
inference(resolution,[],[f489,f632]) ).
fof(f1085,plain,
( sK59 = app(sF70,nil)
| ~ spl72_27 ),
inference(superposition,[],[f619,f965]) ).
fof(f1086,plain,
( sK59 = sF70
| ~ spl72_12
| ~ spl72_27 ),
inference(forward_demodulation,[],[f1085,f691]) ).
fof(f1122,plain,
( sF68 = app(sF67,nil)
| ~ spl72_16 ),
inference(superposition,[],[f558,f717]) ).
fof(f1123,plain,
( sF67 = sF68
| ~ spl72_13
| ~ spl72_16 ),
inference(forward_demodulation,[],[f1122,f697]) ).
fof(f1139,plain,
( tl(app(sF68,sF69)) = app(tl(sF68),sF69)
| nil = sF68
| ~ spl72_10
| ~ spl72_11 ),
inference(resolution,[],[f1035,f628]) ).
fof(f1144,plain,
( tl(app(sF68,sF69)) = app(tl(sF68),sF69)
| ~ spl72_10
| ~ spl72_11
| spl72_17 ),
inference(forward_subsumption_resolution,[],[f1139,f721]) ).
fof(f1262,plain,
( tl(app(sF70,sK65)) = app(tl(sF70),sK65)
| nil = sF70
| ~ spl72_12 ),
inference(resolution,[],[f1031,f637]) ).
fof(f1263,plain,
( tl(app(sF70,sK65)) = app(tl(sF70),sK65)
| ~ spl72_4
| ~ spl72_10
| ~ spl72_11
| ~ spl72_12 ),
inference(forward_subsumption_resolution,[],[f1262,f713]) ).
fof(f2427,plain,
( ! [X0] :
( ~ ssItem(X0)
| nil = tl(cons(X0,nil)) )
| ~ spl72_4 ),
inference(resolution,[],[f405,f589]) ).
fof(f2447,plain,
( nil = tl(cons(sK54(sK59,sK60),nil))
| ~ spl72_4
| ~ spl72_15 ),
inference(resolution,[],[f2427,f666]) ).
fof(f2452,plain,
( nil = tl(sK59)
| ~ spl72_2
| ~ spl72_4
| ~ spl72_15 ),
inference(forward_demodulation,[],[f2447,f620]) ).
fof(f2453,plain,
( nil = tl(sF70)
| ~ spl72_2
| ~ spl72_4
| ~ spl72_12
| ~ spl72_15
| ~ spl72_27 ),
inference(forward_demodulation,[],[f2452,f1086]) ).
fof(f3386,plain,
( tl(sF70) = app(tl(sF68),sF69)
| ~ spl72_10
| ~ spl72_11
| spl72_17 ),
inference(forward_demodulation,[],[f1144,f562]) ).
fof(f3468,plain,
( nil = app(tl(sF68),sF69)
| ~ spl72_2
| ~ spl72_4
| ~ spl72_10
| ~ spl72_11
| ~ spl72_12
| ~ spl72_15
| spl72_17
| ~ spl72_27 ),
inference(forward_demodulation,[],[f3386,f2453]) ).
fof(f3534,plain,
( nil != nil
| nil = sF69
| ~ ssList(sF69)
| ~ ssList(tl(sF68))
| ~ spl72_2
| ~ spl72_4
| ~ spl72_10
| ~ spl72_11
| ~ spl72_12
| ~ spl72_15
| spl72_17
| ~ spl72_27 ),
inference(superposition,[],[f485,f3468]) ).
fof(f3536,plain,
( nil = sF69
| ~ ssList(sF69)
| ~ ssList(tl(sF68))
| ~ spl72_2
| ~ spl72_4
| ~ spl72_10
| ~ spl72_11
| ~ spl72_12
| ~ spl72_15
| spl72_17
| ~ spl72_27 ),
inference(trivial_inequality_removal,[],[f3534]) ).
fof(f3538,plain,
( ~ ssList(sF69)
| ~ ssList(tl(sF68))
| ~ spl72_2
| ~ spl72_4
| ~ spl72_10
| ~ spl72_11
| ~ spl72_12
| ~ spl72_15
| spl72_17
| ~ spl72_27 ),
inference(forward_subsumption_resolution,[],[f3536,f669]) ).
fof(f3541,plain,
( ~ ssList(tl(sF68))
| ~ spl72_2
| ~ spl72_4
| ~ spl72_10
| ~ spl72_11
| ~ spl72_12
| ~ spl72_15
| spl72_17
| ~ spl72_27 ),
inference(forward_subsumption_resolution,[],[f3538,f632]) ).
fof(f3543,definition,
( spl72_43
<=> ssList(tl(sF68)) ),
introduced(definition,[new_symbols(definition,[spl72_43])],[avatar_definition]) ).
fof(f3545,plain,
( ~ ssList(tl(sF68))
| spl72_43 ),
inference(avatar_component_clause,[],[f3543]) ).
fof(f3556,plain,
( ~ spl72_43
| ~ spl72_2
| ~ spl72_4
| ~ spl72_10
| ~ spl72_11
| ~ spl72_12
| ~ spl72_15
| spl72_17
| ~ spl72_27 ),
inference(avatar_split_clause,[],[f3541,f963,f719,f665,f635,f631,f627,f588,f578,f3543]) ).
fof(f3590,plain,
( nil = sF68
| ~ ssList(sF68)
| spl72_43 ),
inference(resolution,[],[f3545,f404]) ).
fof(f3591,plain,
( ~ ssList(sF68)
| spl72_17
| spl72_43 ),
inference(forward_subsumption_resolution,[],[f3590,f721]) ).
fof(f3592,plain,
( $false
| ~ spl72_10
| spl72_17
| spl72_43 ),
inference(forward_subsumption_resolution,[],[f3591,f628]) ).
fof(f3593,plain,
( ~ spl72_10
| spl72_17
| spl72_43 ),
inference(avatar_contradiction_clause,[],[f3592]) ).
fof(f3666,plain,
( nil = sF67
| ~ spl72_13
| ~ spl72_16
| ~ spl72_17 ),
inference(forward_demodulation,[],[f720,f1123]) ).
fof(f3707,plain,
( $false
| ~ spl72_4
| ~ spl72_13
| ~ spl72_14
| ~ spl72_16
| ~ spl72_17 ),
inference(forward_subsumption_resolution,[],[f3666,f723]) ).
fof(f3708,plain,
( ~ spl72_4
| ~ spl72_13
| ~ spl72_14
| ~ spl72_16
| ~ spl72_17 ),
inference(avatar_contradiction_clause,[],[f3707]) ).
fof(f3778,plain,
( nil != sK59
| ~ ssList(sK65)
| ~ ssList(sF70)
| ~ spl72_4
| ~ spl72_10
| ~ spl72_11 ),
inference(forward_subsumption_resolution,[],[f817,f713]) ).
fof(f3814,plain,
( nil != sK59
| ~ ssList(sF70)
| ~ spl72_4
| ~ spl72_10
| ~ spl72_11 ),
inference(forward_subsumption_resolution,[],[f3778,f518]) ).
fof(f3822,plain,
( nil != sK59
| ~ spl72_4
| ~ spl72_10
| ~ spl72_11
| ~ spl72_12 ),
inference(forward_subsumption_resolution,[],[f3814,f637]) ).
fof(f3831,plain,
( tl(sK59) = app(tl(sF70),sK65)
| ~ spl72_4
| ~ spl72_10
| ~ spl72_11
| ~ spl72_12 ),
inference(forward_demodulation,[],[f1263,f619]) ).
fof(f3877,plain,
( $false
| ~ spl72_1
| ~ spl72_4
| ~ spl72_10
| ~ spl72_11
| ~ spl72_12 ),
inference(forward_subsumption_resolution,[],[f3822,f576]) ).
fof(f3878,plain,
( ~ spl72_1
| ~ spl72_4
| ~ spl72_10
| ~ spl72_11
| ~ spl72_12 ),
inference(avatar_contradiction_clause,[],[f3877]) ).
fof(f3932,plain,
( nil = app(tl(sF70),sK65)
| ~ spl72_2
| ~ spl72_4
| ~ spl72_10
| ~ spl72_11
| ~ spl72_12
| ~ spl72_15 ),
inference(forward_demodulation,[],[f3831,f2452]) ).
fof(f3960,plain,
( nil != nil
| nil = sK65
| ~ ssList(sK65)
| ~ ssList(tl(sF70))
| ~ spl72_2
| ~ spl72_4
| ~ spl72_10
| ~ spl72_11
| ~ spl72_12
| ~ spl72_15 ),
inference(superposition,[],[f485,f3932]) ).
fof(f3962,plain,
( nil = sK65
| ~ ssList(sK65)
| ~ ssList(tl(sF70))
| ~ spl72_2
| ~ spl72_4
| ~ spl72_10
| ~ spl72_11
| ~ spl72_12
| ~ spl72_15 ),
inference(trivial_inequality_removal,[],[f3960]) ).
fof(f3964,plain,
( ~ ssList(sK65)
| ~ ssList(tl(sF70))
| ~ spl72_2
| ~ spl72_4
| ~ spl72_10
| ~ spl72_11
| ~ spl72_12
| ~ spl72_15
| spl72_27 ),
inference(forward_subsumption_resolution,[],[f3962,f964]) ).
fof(f3966,plain,
( ~ ssList(tl(sF70))
| ~ spl72_2
| ~ spl72_4
| ~ spl72_10
| ~ spl72_11
| ~ spl72_12
| ~ spl72_15
| spl72_27 ),
inference(forward_subsumption_resolution,[],[f3964,f518]) ).
fof(f3968,definition,
( spl72_54
<=> ssList(tl(sF70)) ),
introduced(definition,[new_symbols(definition,[spl72_54])],[avatar_definition]) ).
fof(f3970,plain,
( ~ ssList(tl(sF70))
| spl72_54 ),
inference(avatar_component_clause,[],[f3968]) ).
fof(f3976,plain,
( ~ spl72_54
| ~ spl72_2
| ~ spl72_4
| ~ spl72_10
| ~ spl72_11
| ~ spl72_12
| ~ spl72_15
| spl72_27 ),
inference(avatar_split_clause,[],[f3966,f963,f665,f635,f631,f627,f588,f578,f3968]) ).
fof(f4003,plain,
( nil = sF70
| ~ ssList(sF70)
| spl72_54 ),
inference(resolution,[],[f3970,f404]) ).
fof(f4004,plain,
( ~ ssList(sF70)
| ~ spl72_4
| ~ spl72_10
| ~ spl72_11
| spl72_54 ),
inference(forward_subsumption_resolution,[],[f4003,f713]) ).
fof(f4005,plain,
( $false
| ~ spl72_4
| ~ spl72_10
| ~ spl72_11
| ~ spl72_12
| spl72_54 ),
inference(forward_subsumption_resolution,[],[f4004,f637]) ).
fof(f4006,plain,
( ~ spl72_4
| ~ spl72_10
| ~ spl72_11
| ~ spl72_12
| spl72_54 ),
inference(avatar_contradiction_clause,[],[f4005]) ).
cnf(s1,plain,
( spl72_1
| spl72_2 ),
inference(sat_conversion,[],[f581]) ).
cnf(s10,plain,
spl72_4,
inference(sat_conversion,[],[f616]) ).
cnf(s11,plain,
( ~ spl72_10
| ~ spl72_11
| spl72_12 ),
inference(sat_conversion,[],[f638]) ).
cnf(s12,plain,
( spl72_10
| ~ spl72_13 ),
inference(sat_conversion,[],[f645]) ).
cnf(s13,plain,
( spl72_13
| ~ spl72_14 ),
inference(sat_conversion,[],[f650]) ).
cnf(s15,plain,
( ~ spl72_4
| spl72_11 ),
inference(sat_conversion,[],[f687]) ).
cnf(s16,plain,
( ~ spl72_4
| spl72_14 ),
inference(sat_conversion,[],[f689]) ).
cnf(s17,plain,
( ~ spl72_13
| spl72_16
| ~ spl72_17 ),
inference(sat_conversion,[],[f722]) ).
cnf(s34,plain,
( ~ spl72_2
| spl72_15 ),
inference(sat_conversion,[],[f1015]) ).
cnf(s48,plain,
( ~ spl72_2
| ~ spl72_4
| ~ spl72_10
| ~ spl72_11
| ~ spl72_12
| ~ spl72_15
| spl72_17
| ~ spl72_27
| ~ spl72_43 ),
inference(sat_conversion,[],[f3556]) ).
cnf(s49,plain,
( ~ spl72_10
| spl72_17
| spl72_43 ),
inference(sat_conversion,[],[f3593]) ).
cnf(s52,plain,
( ~ spl72_4
| ~ spl72_13
| ~ spl72_14
| ~ spl72_16
| ~ spl72_17 ),
inference(sat_conversion,[],[f3708]) ).
cnf(s64,plain,
( ~ spl72_1
| ~ spl72_4
| ~ spl72_10
| ~ spl72_11
| ~ spl72_12 ),
inference(sat_conversion,[],[f3878]) ).
cnf(s68,plain,
( ~ spl72_2
| ~ spl72_4
| ~ spl72_10
| ~ spl72_11
| ~ spl72_12
| ~ spl72_15
| spl72_27
| ~ spl72_54 ),
inference(sat_conversion,[],[f3976]) ).
cnf(s69,plain,
( ~ spl72_4
| ~ spl72_10
| ~ spl72_11
| ~ spl72_12
| spl72_54 ),
inference(sat_conversion,[],[f4006]) ).
cnf(s70,plain,
spl72_14,
inference(rat,[],[s16,s10]) ).
cnf(s71,plain,
spl72_11,
inference(rat,[],[s15,s10]) ).
cnf(s75,plain,
spl72_13,
inference(rat,[],[s13,s70]) ).
cnf(s79,plain,
spl72_10,
inference(rat,[],[s12,s75]) ).
cnf(s80,plain,
spl72_12,
inference(rat,[],[s11,s71,s79]) ).
cnf(s81,plain,
~ spl72_1,
inference(rat,[],[s64,s80,s71,s10,s79]) ).
cnf(s82,plain,
spl72_54,
inference(rat,[],[s69,s79,s71,s10,s80]) ).
cnf(s86,plain,
spl72_2,
inference(rat,[],[s1,s81]) ).
cnf(s87,plain,
spl72_15,
inference(rat,[],[s34,s86]) ).
cnf(s90,plain,
spl72_27,
inference(rat,[],[s68,s82,s86,s79,s80,s71,s10,s87]) ).
cnf(s92,plain,
spl72_17,
inference(rat,[],[s48,s49,s10,s71,s80,s79,s86,s90,s87]) ).
cnf(s93,plain,
~ spl72_16,
inference(rat,[],[s52,s75,s70,s10,s92]) ).
cnf(s94,plain,
$false,
inference(rat,[],[s17,s75,s92,s93]) ).
fof(f4007,plain,
$false,
inference(avatar_sat_refutation,[],[s94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC299+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n007.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 08:55:56 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 5.54/1.28 % (2253144)Detected formulas, will run a generic FOF schedule.
% 5.54/1.28 % (2253149)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=2294961704:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.54/1.28 % (2253151)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=404869471:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.54/1.28 % (2253155)dis-21_1_sil=8000:lcm=predicate:random_seed=2146632465: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)
% 5.54/1.28 % (2253150)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=2948953093:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.54/1.28 % (2253153)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2864244252:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.54/1.28 % (2253154)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2484197417:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.54/1.28 % (2253152)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=731516038:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.54/1.28 % (2253152)Instruction limit reached!
% 5.54/1.28 % (2253152)------------------------------
% 5.54/1.28 % (2253152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.28 % (2253152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.28 % (2253152)CaDiCaL version: 2.1.3
% 5.54/1.28 % (2253152)Termination reason: Instruction limit
% 5.54/1.28 % (2253152)Termination phase: Saturation
% 5.54/1.28 % (2253152)Time elapsed: 0.068 s
% 5.54/1.28 % (2253152)Peak memory usage: 89 MB
% 5.54/1.28 % (2253152)Instructions burned: 109 (million)
% 5.54/1.28 % (2253155)Instruction limit reached!
% 5.54/1.28 % (2253155)------------------------------
% 5.54/1.28 % (2253155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.28 % (2253155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.28 % (2253155)CaDiCaL version: 2.1.3
% 5.54/1.28 % (2253155)Termination reason: Instruction limit
% 5.54/1.28 % (2253155)Termination phase: Saturation
% 5.54/1.28 % (2253155)Time elapsed: 0.069 s
% 5.54/1.28 % (2253155)Peak memory usage: 90 MB
% 5.54/1.28 % (2253155)Instructions burned: 130 (million)
% 5.54/1.28 % (2253153)Instruction limit reached!
% 5.54/1.28 % (2253153)------------------------------
% 5.54/1.28 % (2253153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.28 % (2253153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.28 % (2253153)CaDiCaL version: 2.1.3
% 5.54/1.28 % (2253153)Termination reason: Instruction limit
% 5.54/1.28 % (2253153)Termination phase: Saturation
% 5.54/1.28 % (2253153)Time elapsed: 0.071 s
% 5.54/1.28 % (2253153)Peak memory usage: 88 MB
% 5.54/1.28 % (2253153)Instructions burned: 119 (million)
% 5.54/1.28 % (2253154)Instruction limit reached!
% 5.54/1.28 % (2253154)------------------------------
% 5.54/1.28 % (2253154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.28 % (2253154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.28 % (2253154)CaDiCaL version: 2.1.3
% 5.54/1.28 % (2253154)Termination reason: Instruction limit
% 5.54/1.28 % (2253154)Termination phase: Saturation
% 5.54/1.28 % (2253154)Time elapsed: 0.092 s
% 5.54/1.28 % (2253154)Peak memory usage: 90 MB
% 5.54/1.28 % (2253154)Instructions burned: 139 (million)
% 5.54/1.28 % (2253164)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1484206200:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.54/1.28 % (2253163)lrs+10_1_sil=8000:sp=occurrence:random_seed=29485350:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.54/1.28 % (2253165)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2115111890:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.54/1.28 % (2253166)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=3558516482:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.54/1.28 % (2253164)Instruction limit reached!
% 5.54/1.28 % (2253164)------------------------------
% 5.54/1.28 % (2253164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.28 % (2253164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.28 % (2253164)CaDiCaL version: 2.1.3
% 5.54/1.28 % (2253164)Termination reason: Instruction limit
% 5.54/1.28 % (2253164)Termination phase: Saturation
% 5.54/1.28 % (2253164)Time elapsed: 0.083 s
% 5.54/1.28 % (2253164)Peak memory usage: 96 MB
% 5.54/1.28 % (2253164)Instructions burned: 157 (million)
% 5.54/1.28 % (2253166)Instruction limit reached!
% 5.54/1.28 % (2253166)------------------------------
% 5.54/1.28 % (2253166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.28 % (2253166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.28 % (2253166)CaDiCaL version: 2.1.3
% 5.54/1.28 % (2253166)Termination reason: Instruction limit
% 5.54/1.28 % (2253166)Termination phase: Saturation
% 5.54/1.28 % (2253166)Time elapsed: 0.113 s
% 5.54/1.28 % (2253166)Peak memory usage: 94 MB
% 5.54/1.28 % (2253166)Instructions burned: 248 (million)
% 5.54/1.28 % (2253163)Instruction limit reached!
% 5.54/1.28 % (2253163)------------------------------
% 5.54/1.28 % (2253163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.28 % (2253163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.28 % (2253163)CaDiCaL version: 2.1.3
% 5.54/1.28 % (2253163)Termination reason: Instruction limit
% 5.54/1.28 % (2253163)Termination phase: Saturation
% 5.54/1.28 % (2253163)Time elapsed: 0.168 s
% 5.54/1.28 % (2253163)Peak memory usage: 92 MB
% 5.54/1.28 % (2253163)Instructions burned: 286 (million)
% 5.54/1.28 % (2253165)Instruction limit reached!
% 5.54/1.28 % (2253165)------------------------------
% 5.54/1.28 % (2253165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.28 % (2253165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.28 % (2253165)CaDiCaL version: 2.1.3
% 5.54/1.28 % (2253165)Termination reason: Instruction limit
% 5.54/1.28 % (2253165)Termination phase: Saturation
% 5.54/1.28 % (2253165)Time elapsed: 0.202 s
% 5.54/1.28 % (2253165)Peak memory usage: 92 MB
% 5.54/1.28 % (2253165)Instructions burned: 325 (million)
% 5.54/1.28 % (2253171)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=826834308:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.54/1.28 % (2253172)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2927936825:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.54/1.28 % (2253149)First to succeed.
% 5.54/1.28 % (2253149)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2253144"
% 5.54/1.28 % (2253173)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1544764180:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.54/1.28 % (2253174)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2814910605:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.54/1.28 % (2253171)Instruction limit reached!
% 5.54/1.28 % (2253171)------------------------------
% 5.54/1.28 % (2253171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.28 % (2253171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.28 % (2253171)CaDiCaL version: 2.1.3
% 5.54/1.28 % (2253171)Termination reason: Instruction limit
% 5.54/1.28 % (2253171)Termination phase: Saturation
% 5.54/1.28 % (2253171)Time elapsed: 0.175 s
% 5.54/1.28 % (2253171)Peak memory usage: 90 MB
% 5.54/1.28 % (2253171)Instructions burned: 295 (million)
% 5.54/1.28 % (2253173)Instruction limit reached!
% 5.54/1.28 % (2253173)------------------------------
% 5.54/1.28 % (2253173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.28 % (2253173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.28 % (2253173)CaDiCaL version: 2.1.3
% 5.54/1.28 % (2253173)Termination reason: Instruction limit
% 5.54/1.28 % (2253173)Termination phase: Saturation
% 5.54/1.28 % (2253173)Time elapsed: 0.075 s
% 5.54/1.28 % (2253173)Peak memory usage: 90 MB
% 5.54/1.28 % (2253173)Instructions burned: 113 (million)
% 5.54/1.28 % (2253174)Instruction limit reached!
% 5.54/1.28 % (2253174)------------------------------
% 5.54/1.28 % (2253174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/1.28 % (2253174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.28 % (2253174)CaDiCaL version: 2.1.3
% 5.54/1.28 % (2253174)Termination reason: Instruction limit
% 5.54/1.28 % (2253174)Termination phase: Saturation
% 5.54/1.28 % (2253174)Time elapsed: 0.064 s
% 5.54/1.28 % (2253174)Peak memory usage: 90 MB
% 5.54/1.28 % (2253174)Instructions burned: 127 (million)
% 5.54/1.28 % (2253149)Refutation found. Thanks to Tanya!
% 5.54/1.28 % SZS status Theorem for theBenchmark
% 5.54/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 6.33/1.37 % (2253149)------------------------------
% 6.33/1.37 % (2253149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.37 % (2253149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.37 % (2253149)CaDiCaL version: 2.1.3
% 6.33/1.37 % (2253149)Termination reason: Refutation
% 6.33/1.37 % (2253149)Time elapsed: 0.583 s
% 6.33/1.37 % (2253149)Peak memory usage: 137 MB
% 6.33/1.37 % (2253149)Instructions burned: 1550 (million)
% 6.33/1.37 % (2253149)------------------------------
% 6.33/1.37 % (2253149)------------------------------
% 6.33/1.37 % (2253144)Success in time 0.866 s
% 6.33/1.37 % Vampire exiting
%------------------------------------------------------------------------------