%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC281-1 : 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 : n013.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 01:03:16 PM UTC 2026
% Result : Unsatisfiable 8.31s 1.76s
% Output : Refutation 9.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 39
% Syntax : Number of formulae : 182 ( 37 unt; 16 def)
% Number of atoms : 697 ( 26 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1038 ( 523 ~; 502 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 14 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 217 ( 0 sgn 217 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f126,plain,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f125]) ).
fof(f151,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f161,axiom,
! [X2,X0,X1] :
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f182,axiom,
! [X0,X1] :
( app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f189,axiom,
! [X2,X3,X0,X1] :
( app(X0,cons(X1,X2)) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X3)
| memberP(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f193,axiom,
! [X2,X3,X0,X1,X4] :
( app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ duplicatefreeP(X4)
| ~ ssList(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
fof(f196,axiom,
! [X2,X3,X0,X1,X4,X5] :
( app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ totalorderedP(X5)
| ~ ssList(X5)
| leq(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f209,negated_conjecture,
totalorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f212,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f213,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f214,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f215,negated_conjecture,
app(app(sk7,cons(sk6,nil)),sk8) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f216,plain,
sk1 = app(app(sk7,cons(sk6,nil)),sk8),
inference(reorient_equations,[],[f215]) ).
fof(f218,negated_conjecture,
( memberP(sk7,sk9)
| memberP(sk8,sk9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f219,negated_conjecture,
( memberP(sk7,sk9)
| ~ leq(sk6,sk9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f220,negated_conjecture,
( ~ leq(sk9,sk6)
| memberP(sk8,sk9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f221,negated_conjecture,
( ~ leq(sk9,sk6)
| ~ leq(sk6,sk9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
fof(f225,plain,
sk3 = app(app(sk7,cons(sk6,nil)),sk8),
inference(definition_unfolding,[],[f216,f205]) ).
fof(f241,plain,
! [X2,X0,X1] :
( memberP(app(X0,cons(X1,X2)),X1)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X2) ),
inference(equality_resolution,[],[f189]) ).
fof(f243,plain,
! [X2,X3,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X3) ),
inference(equality_resolution,[],[f193]) ).
fof(f246,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| leq(X1,X3) ),
inference(equality_resolution,[],[f196]) ).
fof(f253,definition,
sF1 = cons(sk6,nil),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f254,plain,
cons(sk6,nil) = sF1,
inference(reorient_equations,[],[f253]) ).
fof(f255,definition,
sF2 = app(sk7,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f256,plain,
app(sk7,sF1) = sF2,
inference(reorient_equations,[],[f255]) ).
fof(f257,definition,
sF3 = app(sF2,sk8),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f258,plain,
app(sF2,sk8) = sF3,
inference(reorient_equations,[],[f257]) ).
fof(f259,plain,
sk3 = sF3,
inference(definition_folding,[],[f225,f258,f256,f254]) ).
fof(f276,definition,
( spl4_3
<=> leq(sk6,sk9) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f278,plain,
( ~ leq(sk6,sk9)
| spl4_3 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f280,definition,
( spl4_4
<=> leq(sk9,sk6) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f282,plain,
( ~ leq(sk9,sk6)
| spl4_4 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f283,plain,
( ~ spl4_3
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f221,f280,f276]) ).
fof(f285,definition,
( spl4_5
<=> memberP(sk8,sk9) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f287,plain,
( memberP(sk8,sk9)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f288,plain,
( spl4_5
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f220,f280,f285]) ).
fof(f290,definition,
( spl4_6
<=> memberP(sk7,sk9) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f292,plain,
( memberP(sk7,sk9)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f293,plain,
( ~ spl4_3
| spl4_6 ),
inference(avatar_split_clause,[],[f219,f290,f276]) ).
fof(f294,plain,
( spl4_5
| spl4_6 ),
inference(avatar_split_clause,[],[f218,f290,f285]) ).
fof(f300,definition,
( spl4_8
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
fof(f301,plain,
( ssList(nil)
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f328,definition,
( spl4_14
<=> ! [X1] : ssItem(X1) ),
introduced(definition,[new_symbols(definition,[spl4_14])],[avatar_definition]) ).
fof(f329,plain,
( ! [X1] : ssItem(X1)
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f331,definition,
( spl4_15
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_15])],[avatar_definition]) ).
fof(f332,plain,
( ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) )
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f333,plain,
( spl4_14
| spl4_15 ),
inference(avatar_split_clause,[],[f72,f331,f328]) ).
fof(f336,plain,
spl4_8,
inference(avatar_split_clause,[],[f8,f300]) ).
fof(f338,plain,
sk3 = app(sF2,sk8),
inference(forward_demodulation,[],[f258,f259]) ).
fof(f349,plain,
( ssList(sF2)
| ~ ssList(sk7)
| ~ ssList(sF1) ),
inference(superposition,[],[f85,f256]) ).
fof(f351,plain,
( ssList(sF2)
| ~ ssList(sF1) ),
inference(forward_subsumption_resolution,[],[f349,f213]) ).
fof(f354,definition,
( spl4_16
<=> ssList(sF1) ),
introduced(definition,[new_symbols(definition,[spl4_16])],[avatar_definition]) ).
fof(f355,plain,
( ssList(sF1)
| ~ spl4_16 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f356,plain,
( ~ ssList(sF1)
| spl4_16 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f358,definition,
( spl4_17
<=> ssList(sF2) ),
introduced(definition,[new_symbols(definition,[spl4_17])],[avatar_definition]) ).
fof(f360,plain,
( ssList(sF2)
| ~ spl4_17 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f361,plain,
( ~ spl4_16
| spl4_17 ),
inference(avatar_split_clause,[],[f351,f358,f354]) ).
fof(f366,plain,
! [X0] :
( app(sk7,app(sF1,X0)) = app(sF2,X0)
| ~ ssList(sF1)
| ~ ssList(sk7)
| ~ ssList(X0) ),
inference(superposition,[],[f161,f256]) ).
fof(f370,plain,
! [X2,X0,X1] :
( ssList(app(X0,app(X1,X2)))
| ~ ssList(app(X0,X1))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(superposition,[],[f85,f161]) ).
fof(f371,plain,
! [X2,X0,X1] :
( ssList(app(X0,app(X1,X2)))
| ~ ssList(app(X0,X1))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f370]) ).
fof(f374,plain,
! [X2,X0,X1] :
( ssList(app(X0,app(X1,X2)))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f371,f85]) ).
fof(f391,plain,
( ssList(sF1)
| ~ ssList(nil)
| ~ ssItem(sk6) ),
inference(superposition,[],[f86,f254]) ).
fof(f392,plain,
( ~ ssList(nil)
| ~ ssItem(sk6)
| spl4_16 ),
inference(forward_subsumption_resolution,[],[f391,f356]) ).
fof(f393,plain,
( ~ ssItem(sk6)
| ~ spl4_8
| spl4_16 ),
inference(forward_subsumption_resolution,[],[f392,f301]) ).
fof(f394,plain,
( $false
| ~ spl4_8
| spl4_16 ),
inference(forward_subsumption_resolution,[],[f393,f212]) ).
fof(f395,plain,
( ~ spl4_8
| spl4_16 ),
inference(avatar_contradiction_clause,[],[f394]) ).
fof(f396,plain,
( ! [X0] :
( app(sk7,app(sF1,X0)) = app(sF2,X0)
| ~ ssList(sk7)
| ~ ssList(X0) )
| ~ spl4_16 ),
inference(forward_subsumption_resolution,[],[f366,f355]) ).
fof(f397,plain,
( ! [X0] :
( app(sk7,app(sF1,X0)) = app(sF2,X0)
| ~ ssList(X0) )
| ~ spl4_16 ),
inference(forward_subsumption_resolution,[],[f396,f213]) ).
fof(f422,plain,
! [X0] :
( app(sF1,X0) = cons(sk6,X0)
| ~ ssList(X0)
| ~ ssItem(sk6) ),
inference(superposition,[],[f126,f254]) ).
fof(f430,plain,
! [X0] :
( app(sF1,X0) = cons(sk6,X0)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f422,f212]) ).
fof(f447,plain,
! [X2,X3,X0,X1] :
( ~ ssList(app(X0,cons(X2,X3)))
| ~ ssList(skaf43(X1,X0))
| ~ ssList(skaf42(X0,X1))
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ totalorderedP(app(X0,cons(X2,X3)))
| ~ ssList(X3)
| leq(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(superposition,[],[f246,f182]) ).
fof(f450,plain,
! [X2,X3,X0,X1] :
( ~ ssList(app(X0,cons(X2,X3)))
| ~ ssList(skaf43(X1,X0))
| ~ ssList(skaf42(X0,X1))
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ totalorderedP(app(X0,cons(X2,X3)))
| ~ ssList(X3)
| leq(X1,X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(duplicate_literal_removal,[],[f447]) ).
fof(f452,plain,
! [X2,X3,X0,X1] :
( ~ ssList(app(X0,cons(X2,X3)))
| ~ ssList(skaf42(X0,X1))
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ totalorderedP(app(X0,cons(X2,X3)))
| ~ ssList(X3)
| leq(X1,X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(forward_subsumption_resolution,[],[f450,f52]) ).
fof(f454,plain,
! [X2,X3,X0,X1] :
( ~ ssList(app(X0,cons(X2,X3)))
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ totalorderedP(app(X0,cons(X2,X3)))
| ~ ssList(X3)
| leq(X1,X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(forward_subsumption_resolution,[],[f452,f53]) ).
fof(f457,plain,
( ! [X0] :
( app(sF2,X0) = app(sk7,cons(sk6,X0))
| ~ ssList(X0)
| ~ ssList(X0) )
| ~ spl4_16 ),
inference(superposition,[],[f397,f430]) ).
fof(f461,plain,
( ! [X0] :
( app(sF2,X0) = app(sk7,cons(sk6,X0))
| ~ ssList(X0) )
| ~ spl4_16 ),
inference(duplicate_literal_removal,[],[f457]) ).
fof(f467,plain,
! [X0] :
( memberP(app(X0,sF1),sk6)
| ~ ssList(X0)
| ~ ssItem(sk6)
| ~ ssList(app(X0,sF1))
| ~ ssList(nil) ),
inference(superposition,[],[f241,f254]) ).
fof(f478,plain,
! [X0] :
( memberP(app(X0,sF1),sk6)
| ~ ssList(X0)
| ~ ssList(app(X0,sF1))
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f467,f212]) ).
fof(f482,plain,
( ! [X0] :
( memberP(app(X0,sF1),sk6)
| ~ ssList(X0)
| ~ ssList(app(X0,sF1)) )
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f478,f301]) ).
fof(f750,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ totalorderedP(app(X2,cons(X0,X3)))
| ~ ssList(X3)
| leq(X1,X0)
| ~ ssList(X2)
| ~ memberP(X2,X1)
| ~ ssList(X2)
| ~ ssList(cons(X0,X3)) ),
inference(resolution,[],[f454,f85]) ).
fof(f752,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(X0,app(X1,cons(X2,X3))))
| ~ ssItem(X2)
| ~ ssItem(X4)
| ~ totalorderedP(app(X0,app(X1,cons(X2,X3))))
| ~ ssList(X3)
| leq(X4,X2)
| ~ ssList(app(X0,X1))
| ~ memberP(app(X0,X1),X4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(X2,X3)) ),
inference(superposition,[],[f454,f161]) ).
fof(f757,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ totalorderedP(app(X2,cons(X0,X3)))
| ~ ssList(X3)
| leq(X1,X0)
| ~ ssList(X2)
| ~ memberP(X2,X1)
| ~ ssList(cons(X0,X3)) ),
inference(duplicate_literal_removal,[],[f750]) ).
fof(f760,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(X0,app(X1,cons(X2,X3))))
| ~ ssItem(X2)
| ~ ssItem(X4)
| ~ totalorderedP(app(X0,app(X1,cons(X2,X3))))
| ~ ssList(X3)
| leq(X4,X2)
| ~ memberP(app(X0,X1),X4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(X2,X3)) ),
inference(forward_subsumption_resolution,[],[f752,f85]) ).
fof(f762,plain,
! [X2,X3,X0,X1] :
( ~ totalorderedP(app(X2,cons(X0,X3)))
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ ssList(X3)
| leq(X1,X0)
| ~ ssList(X2)
| ~ memberP(X2,X1) ),
inference(forward_subsumption_resolution,[],[f757,f86]) ).
fof(f764,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssItem(X2)
| ~ ssItem(X4)
| ~ totalorderedP(app(X0,app(X1,cons(X2,X3))))
| ~ ssList(X3)
| leq(X4,X2)
| ~ memberP(app(X0,X1),X4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(X2,X3)) ),
inference(forward_subsumption_resolution,[],[f760,f374]) ).
fof(f766,plain,
! [X2,X3,X0,X1,X4] :
( ~ totalorderedP(app(X0,app(X1,cons(X2,X3))))
| ~ ssItem(X4)
| ~ ssItem(X2)
| ~ ssList(X3)
| leq(X4,X2)
| ~ memberP(app(X0,X1),X4)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f764,f86]) ).
fof(f767,plain,
! [X2,X3,X0,X1] :
( ~ totalorderedP(app(X1,X0))
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(skaf43(X2,X0))
| leq(X3,X2)
| ~ memberP(app(X1,skaf42(X0,X2)),X3)
| ~ ssList(skaf42(X0,X2))
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X2) ),
inference(superposition,[],[f766,f182]) ).
fof(f775,plain,
! [X2,X3,X0,X1] :
( ~ totalorderedP(app(X1,X0))
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(skaf43(X2,X0))
| leq(X3,X2)
| ~ memberP(app(X1,skaf42(X0,X2)),X3)
| ~ ssList(skaf42(X0,X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X0,X2) ),
inference(duplicate_literal_removal,[],[f767]) ).
fof(f782,plain,
! [X2,X3,X0,X1] :
( ~ totalorderedP(app(X1,X0))
| ~ ssItem(X3)
| ~ ssItem(X2)
| leq(X3,X2)
| ~ memberP(app(X1,skaf42(X0,X2)),X3)
| ~ ssList(skaf42(X0,X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X0,X2) ),
inference(forward_subsumption_resolution,[],[f775,f52]) ).
fof(f787,plain,
! [X2,X3,X0,X1] :
( ~ memberP(app(X1,skaf42(X0,X2)),X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| leq(X3,X2)
| ~ totalorderedP(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X0,X2) ),
inference(forward_subsumption_resolution,[],[f782,f53]) ).
fof(f792,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(sF2,X0))
| ~ ssItem(X1)
| ~ ssItem(sk6)
| ~ ssList(X0)
| leq(X1,sk6)
| ~ ssList(sk7)
| ~ memberP(sk7,X1)
| ~ ssList(X0) )
| ~ spl4_16 ),
inference(superposition,[],[f762,f461]) ).
fof(f794,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(sF2,X0))
| ~ ssItem(X1)
| ~ ssItem(sk6)
| ~ ssList(X0)
| leq(X1,sk6)
| ~ ssList(sk7)
| ~ memberP(sk7,X1) )
| ~ spl4_16 ),
inference(duplicate_literal_removal,[],[f792]) ).
fof(f831,plain,
! [X2,X3,X0,X1] :
( ~ ssList(skaf42(X0,X1))
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ memberP(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X1)
| leq(X3,X1)
| ~ totalorderedP(app(X2,X0))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(resolution,[],[f151,f787]) ).
fof(f844,plain,
! [X2,X3,X0,X1] :
( ~ ssList(skaf42(X0,X1))
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ memberP(X2,X3)
| ~ ssItem(X1)
| leq(X3,X1)
| ~ totalorderedP(app(X2,X0))
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(duplicate_literal_removal,[],[f831]) ).
fof(f851,plain,
! [X2,X3,X0,X1] :
( ~ totalorderedP(app(X2,X0))
| ~ ssItem(X3)
| ~ memberP(X2,X3)
| ~ ssItem(X1)
| leq(X3,X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(forward_subsumption_resolution,[],[f844,f53]) ).
fof(f862,plain,
! [X0,X1] :
( ~ totalorderedP(sk3)
| ~ ssItem(X0)
| ~ memberP(sF2,X0)
| ~ ssItem(X1)
| leq(X0,X1)
| ~ ssList(sF2)
| ~ ssList(sk8)
| ~ memberP(sk8,X1) ),
inference(superposition,[],[f851,f338]) ).
fof(f866,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ memberP(sF2,X0)
| ~ ssItem(X1)
| leq(X0,X1)
| ~ ssList(sF2)
| ~ ssList(sk8)
| ~ memberP(sk8,X1) ),
inference(forward_subsumption_resolution,[],[f862,f209]) ).
fof(f872,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ memberP(sF2,X0)
| ~ ssItem(X1)
| leq(X0,X1)
| ~ ssList(sk8)
| ~ memberP(sk8,X1) )
| ~ spl4_17 ),
inference(forward_subsumption_resolution,[],[f866,f360]) ).
fof(f874,plain,
( ! [X0,X1] :
( ~ memberP(sF2,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| leq(X0,X1)
| ~ memberP(sk8,X1) )
| ~ spl4_17 ),
inference(forward_subsumption_resolution,[],[f872,f214]) ).
fof(f1104,plain,
! [X2,X0,X1] :
( ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(skaf43(X1,X0))
| ~ ssList(skaf42(X0,X1))
| ~ ssItem(X1)
| ~ duplicatefreeP(app(X0,cons(X1,X2)))
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(superposition,[],[f243,f182]) ).
fof(f1112,plain,
! [X2,X0,X1] :
( ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(skaf43(X1,X0))
| ~ ssList(skaf42(X0,X1))
| ~ ssItem(X1)
| ~ duplicatefreeP(app(X0,cons(X1,X2)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(duplicate_literal_removal,[],[f1104]) ).
fof(f1119,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(skaf43(X1,X0))
| ~ ssList(skaf42(X0,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) )
| ~ spl4_15 ),
inference(forward_subsumption_resolution,[],[f1112,f332]) ).
fof(f1129,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(skaf42(X0,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) )
| ~ spl4_15 ),
inference(forward_subsumption_resolution,[],[f1119,f52]) ).
fof(f1138,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(X0,cons(X1,X2)))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) )
| ~ spl4_15 ),
inference(forward_subsumption_resolution,[],[f1129,f53]) ).
fof(f1145,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(app(X0,app(X1,cons(X2,X3))))
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(app(X0,X1))
| ~ memberP(app(X0,X1),X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(X2,X3)) )
| ~ spl4_15 ),
inference(superposition,[],[f1138,f161]) ).
fof(f1153,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(app(X0,app(X1,cons(X2,X3))))
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ memberP(app(X0,X1),X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(X2,X3)) )
| ~ spl4_15 ),
inference(forward_subsumption_resolution,[],[f1145,f85]) ).
fof(f1159,plain,
( ! [X2,X3,X0,X1] :
( ~ ssItem(X2)
| ~ ssList(X3)
| ~ memberP(app(X0,X1),X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(X2,X3)) )
| ~ spl4_15 ),
inference(forward_subsumption_resolution,[],[f1153,f374]) ).
fof(f1164,definition,
( spl4_27
<=> ! [X1] : ~ ssList(X1) ),
introduced(definition,[new_symbols(definition,[spl4_27])],[avatar_definition]) ).
fof(f1165,plain,
( ! [X1] : ~ ssList(X1)
| ~ spl4_27 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f1170,plain,
( ! [X2,X3,X0,X1] :
( ~ ssItem(X2)
| ~ ssList(X3)
| ~ memberP(app(X0,X1),X2)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl4_15 ),
inference(forward_subsumption_resolution,[],[f1159,f86]) ).
fof(f1172,definition,
( spl4_29
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ memberP(app(X0,X1),X2) ) ),
introduced(definition,[new_symbols(definition,[spl4_29])],[avatar_definition]) ).
fof(f1173,plain,
( ! [X2,X0,X1] :
( ~ memberP(app(X0,X1),X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2) )
| ~ spl4_29 ),
inference(avatar_component_clause,[],[f1172]) ).
fof(f1174,plain,
( spl4_27
| spl4_29
| ~ spl4_15 ),
inference(avatar_split_clause,[],[f1170,f331,f1172,f1164]) ).
fof(f1662,definition,
( spl4_34
<=> ! [X1] :
( ~ memberP(sk7,X1)
| leq(X1,sk6) ) ),
introduced(definition,[new_symbols(definition,[spl4_34])],[avatar_definition]) ).
fof(f1663,plain,
( ! [X1] :
( ~ memberP(sk7,X1)
| leq(X1,sk6) )
| ~ spl4_34 ),
inference(avatar_component_clause,[],[f1662]) ).
fof(f1665,plain,
( $false
| ~ spl4_27 ),
inference(resolution,[],[f1165,f52]) ).
fof(f1683,plain,
~ spl4_27,
inference(avatar_contradiction_clause,[],[f1665]) ).
fof(f1760,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(sF2,X0))
| ~ ssItem(X1)
| ~ ssList(X0)
| leq(X1,sk6)
| ~ ssList(sk7)
| ~ memberP(sk7,X1) )
| ~ spl4_16 ),
inference(forward_subsumption_resolution,[],[f794,f212]) ).
fof(f1814,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(sF2,X0))
| ~ ssItem(X1)
| ~ ssList(X0)
| leq(X1,sk6)
| ~ memberP(sk7,X1) )
| ~ spl4_16 ),
inference(forward_subsumption_resolution,[],[f1760,f213]) ).
fof(f1829,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(sF2,X0))
| ~ ssList(X0)
| leq(X1,sk6)
| ~ memberP(sk7,X1) )
| ~ spl4_14
| ~ spl4_16 ),
inference(forward_subsumption_resolution,[],[f1814,f329]) ).
fof(f1841,definition,
( spl4_36
<=> ! [X0] :
( ~ totalorderedP(app(sF2,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_36])],[avatar_definition]) ).
fof(f1842,plain,
( ! [X0] :
( ~ totalorderedP(app(sF2,X0))
| ~ ssList(X0) )
| ~ spl4_36 ),
inference(avatar_component_clause,[],[f1841]) ).
fof(f1844,plain,
( spl4_34
| spl4_36
| ~ spl4_14
| ~ spl4_16 ),
inference(avatar_split_clause,[],[f1829,f354,f328,f1841,f1662]) ).
fof(f1884,plain,
( memberP(sF2,sk6)
| ~ ssList(sk7)
| ~ ssList(sF2)
| ~ spl4_8 ),
inference(superposition,[],[f482,f256]) ).
fof(f1896,plain,
( memberP(sF2,sk6)
| ~ ssList(sF2)
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f1884,f213]) ).
fof(f1899,plain,
( memberP(sF2,sk6)
| ~ spl4_8
| ~ spl4_17 ),
inference(forward_subsumption_resolution,[],[f1896,f360]) ).
fof(f2004,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sF1)
| ~ ssItem(sk6)
| ~ ssList(X0)
| ~ ssList(app(X0,sF1)) )
| ~ spl4_8
| ~ spl4_29 ),
inference(resolution,[],[f1173,f482]) ).
fof(f2013,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sF1)
| ~ ssItem(sk6)
| ~ ssList(app(X0,sF1)) )
| ~ spl4_8
| ~ spl4_29 ),
inference(duplicate_literal_removal,[],[f2004]) ).
fof(f2023,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sF1)
| ~ ssItem(sk6) )
| ~ spl4_8
| ~ spl4_29 ),
inference(forward_subsumption_resolution,[],[f2013,f85]) ).
fof(f2033,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssItem(sk6) )
| ~ spl4_8
| ~ spl4_16
| ~ spl4_29 ),
inference(forward_subsumption_resolution,[],[f2023,f355]) ).
fof(f2044,plain,
( ! [X0] : ~ ssList(X0)
| ~ spl4_8
| ~ spl4_16
| ~ spl4_29 ),
inference(forward_subsumption_resolution,[],[f2033,f212]) ).
fof(f2046,plain,
( spl4_27
| ~ spl4_8
| ~ spl4_16
| ~ spl4_29 ),
inference(avatar_split_clause,[],[f2044,f1172,f354,f300,f1164]) ).
fof(f2175,plain,
( ~ totalorderedP(sk3)
| ~ ssList(sk8)
| ~ spl4_36 ),
inference(superposition,[],[f1842,f338]) ).
fof(f2177,plain,
( ~ ssList(sk8)
| ~ spl4_36 ),
inference(forward_subsumption_resolution,[],[f2175,f209]) ).
fof(f2178,plain,
( $false
| ~ spl4_36 ),
inference(forward_subsumption_resolution,[],[f2177,f214]) ).
fof(f2179,plain,
~ spl4_36,
inference(avatar_contradiction_clause,[],[f2178]) ).
fof(f2459,plain,
( ! [X0] :
( ~ ssItem(sk6)
| ~ ssItem(X0)
| leq(sk6,X0)
| ~ memberP(sk8,X0) )
| ~ spl4_8
| ~ spl4_17 ),
inference(resolution,[],[f1899,f874]) ).
fof(f2460,plain,
( ! [X0] :
( ~ ssItem(X0)
| leq(sk6,X0)
| ~ memberP(sk8,X0) )
| ~ spl4_8
| ~ spl4_17 ),
inference(forward_subsumption_resolution,[],[f2459,f212]) ).
fof(f2461,plain,
( ! [X0] :
( ~ memberP(sk8,X0)
| leq(sk6,X0) )
| ~ spl4_8
| ~ spl4_14
| ~ spl4_17 ),
inference(forward_subsumption_resolution,[],[f2460,f329]) ).
fof(f2595,plain,
( leq(sk6,sk9)
| ~ spl4_5
| ~ spl4_8
| ~ spl4_14
| ~ spl4_17 ),
inference(resolution,[],[f2461,f287]) ).
fof(f2596,plain,
( $false
| spl4_3
| ~ spl4_5
| ~ spl4_8
| ~ spl4_14
| ~ spl4_17 ),
inference(forward_subsumption_resolution,[],[f2595,f278]) ).
fof(f2597,plain,
( spl4_3
| ~ spl4_5
| ~ spl4_8
| ~ spl4_14
| ~ spl4_17 ),
inference(avatar_contradiction_clause,[],[f2596]) ).
fof(f2621,plain,
( leq(sk9,sk6)
| ~ spl4_6
| ~ spl4_34 ),
inference(resolution,[],[f1663,f292]) ).
fof(f2622,plain,
( $false
| spl4_4
| ~ spl4_6
| ~ spl4_34 ),
inference(forward_subsumption_resolution,[],[f2621,f282]) ).
fof(f2623,plain,
( spl4_4
| ~ spl4_6
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f2622]) ).
cnf(s2,plain,
( ~ spl4_3
| ~ spl4_4 ),
inference(sat_conversion,[],[f283]) ).
cnf(s3,plain,
( ~ spl4_4
| spl4_5 ),
inference(sat_conversion,[],[f288]) ).
cnf(s4,plain,
( ~ spl4_3
| spl4_6 ),
inference(sat_conversion,[],[f293]) ).
cnf(s5,plain,
( spl4_5
| spl4_6 ),
inference(sat_conversion,[],[f294]) ).
cnf(s12,plain,
( spl4_14
| spl4_15 ),
inference(sat_conversion,[],[f333]) ).
cnf(s15,plain,
spl4_8,
inference(sat_conversion,[],[f336]) ).
cnf(s16,plain,
( ~ spl4_16
| spl4_17 ),
inference(sat_conversion,[],[f361]) ).
cnf(s18,plain,
( ~ spl4_8
| spl4_16 ),
inference(sat_conversion,[],[f395]) ).
cnf(s25,plain,
( ~ spl4_15
| spl4_27
| spl4_29 ),
inference(sat_conversion,[],[f1174]) ).
cnf(s36,plain,
~ spl4_27,
inference(sat_conversion,[],[f1683]) ).
cnf(s39,plain,
( ~ spl4_14
| ~ spl4_16
| spl4_34
| spl4_36 ),
inference(sat_conversion,[],[f1844]) ).
cnf(s49,plain,
( ~ spl4_8
| ~ spl4_16
| spl4_27
| ~ spl4_29 ),
inference(sat_conversion,[],[f2046]) ).
cnf(s52,plain,
~ spl4_36,
inference(sat_conversion,[],[f2179]) ).
cnf(s54,plain,
( spl4_3
| ~ spl4_5
| ~ spl4_8
| ~ spl4_14
| ~ spl4_17 ),
inference(sat_conversion,[],[f2597]) ).
cnf(s56,plain,
( spl4_4
| ~ spl4_6
| ~ spl4_34 ),
inference(sat_conversion,[],[f2623]) ).
cnf(s59,plain,
( ~ spl4_14
| ~ spl4_16
| spl4_34 ),
inference(rat,[],[s39,s52]) ).
cnf(s61,plain,
( ~ spl4_15
| spl4_29 ),
inference(rat,[],[s25,s36]) ).
cnf(s63,plain,
spl4_16,
inference(rat,[],[s18,s15]) ).
cnf(s64,plain,
~ spl4_29,
inference(rat,[],[s49,s15,s36,s63]) ).
cnf(s66,plain,
spl4_17,
inference(rat,[],[s16,s63]) ).
cnf(s67,plain,
~ spl4_15,
inference(rat,[],[s61,s64]) ).
cnf(s69,plain,
spl4_14,
inference(rat,[],[s12,s67]) ).
cnf(s71,plain,
spl4_34,
inference(rat,[],[s59,s63,s69]) ).
cnf(s76,plain,
spl4_5,
inference(rat,[],[s56,s3,s5,s71]) ).
cnf(s77,plain,
spl4_3,
inference(rat,[],[s54,s66,s69,s15,s76]) ).
cnf(s79,plain,
spl4_6,
inference(rat,[],[s4,s77]) ).
cnf(s80,plain,
~ spl4_4,
inference(rat,[],[s2,s77]) ).
cnf(s81,plain,
$false,
inference(rat,[],[s56,s71,s79,s80]) ).
fof(f2624,plain,
$false,
inference(avatar_sat_refutation,[],[s81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC281-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n013.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 08:51:07 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 7.08/1.56 % (1035153)Input is clausal, will run a generic CNF schedule.
% 7.08/1.56 % (1035164)dis-21_1_sil=8000:lcm=predicate:random_seed=3589489755:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 7.08/1.56 % (1035159)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=941522065:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.08/1.56 % (1035163)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=435253189:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.08/1.56 % (1035161)lrs+10_1_sil=8000:sp=occurrence:random_seed=283218669:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.08/1.56 % (1035162)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2626029130:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.08/1.56 % (1035158)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=2501602344:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.08/1.56 % (1035160)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1266288295:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.08/1.56 % (1035164)Instruction limit reached!
% 7.08/1.56 % (1035164)------------------------------
% 7.08/1.56 % (1035164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.08/1.56 % (1035164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.08/1.56 % (1035164)CaDiCaL version: 2.1.3
% 7.08/1.56 % (1035164)Termination reason: Instruction limit
% 7.08/1.56 % (1035164)Termination phase: Saturation
% 7.08/1.56 % (1035164)Time elapsed: 0.029 s
% 7.08/1.56 % (1035164)Peak memory usage: 89 MB
% 7.08/1.56 % (1035164)Instructions burned: 118 (million)
% 7.08/1.56 % (1035161)Instruction limit reached!
% 7.08/1.56 % (1035161)------------------------------
% 7.08/1.56 % (1035161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.08/1.56 % (1035161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.08/1.56 % (1035161)CaDiCaL version: 2.1.3
% 7.08/1.56 % (1035161)Termination reason: Instruction limit
% 7.08/1.56 % (1035161)Termination phase: Saturation
% 7.08/1.56 % (1035161)Time elapsed: 0.068 s
% 7.08/1.56 % (1035161)Peak memory usage: 90 MB
% 7.08/1.56 % (1035161)Instructions burned: 108 (million)
% 7.08/1.56 % (1035162)Instruction limit reached!
% 7.08/1.56 % (1035162)------------------------------
% 7.08/1.56 % (1035162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.08/1.56 % (1035162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.08/1.56 % (1035162)CaDiCaL version: 2.1.3
% 7.08/1.56 % (1035162)Termination reason: Instruction limit
% 7.08/1.56 % (1035162)Termination phase: Saturation
% 7.08/1.56 % (1035162)Time elapsed: 0.071 s
% 7.08/1.56 % (1035162)Peak memory usage: 89 MB
% 7.08/1.56 % (1035162)Instructions burned: 118 (million)
% 7.08/1.56 % (1035172)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3065920439:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.08/1.56 % (1035163)Instruction limit reached!
% 7.08/1.56 % (1035163)------------------------------
% 7.08/1.56 % (1035163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.08/1.56 % (1035163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.08/1.56 % (1035163)CaDiCaL version: 2.1.3
% 7.08/1.56 % (1035163)Termination reason: Instruction limit
% 7.08/1.56 % (1035163)Termination phase: Saturation
% 7.08/1.56 % (1035163)Time elapsed: 0.123 s
% 7.08/1.56 % (1035163)Peak memory usage: 90 MB
% 7.08/1.56 % (1035163)Instructions burned: 181 (million)
% 7.08/1.56 % (1035172)Instruction limit reached!
% 7.08/1.56 % (1035172)------------------------------
% 7.08/1.56 % (1035172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.08/1.56 % (1035172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.08/1.56 % (1035172)CaDiCaL version: 2.1.3
% 7.08/1.56 % (1035172)Termination reason: Instruction limit
% 7.08/1.56 % (1035172)Termination phase: Saturation
% 7.08/1.56 % (1035172)Time elapsed: 0.051 s
% 7.08/1.56 % (1035172)Peak memory usage: 90 MB
% 7.08/1.56 % (1035172)Instructions burned: 146 (million)
% 7.08/1.56 % (1035173)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1865047372:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 8.31/1.76 % (1035174)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3971810637:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.31/1.76 % (1035177)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3490747435:avsq=on:i=194:fgj=on:bd=preordered_2997 on theBenchmark for (2997ds/194Mi)
% 8.31/1.76 % (1035176)lrs+10_64_to=lpo:sil=8000:random_seed=4005560837:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 8.31/1.76 % (1035177)Instruction limit reached!
% 8.31/1.76 % (1035177)------------------------------
% 8.31/1.76 % (1035177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/1.76 % (1035177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/1.76 % (1035177)CaDiCaL version: 2.1.3
% 8.31/1.76 % (1035177)Termination reason: Instruction limit
% 8.31/1.76 % (1035177)Termination phase: Saturation
% 8.31/1.76 % (1035177)Time elapsed: 0.066 s
% 8.31/1.76 % (1035177)Peak memory usage: 90 MB
% 8.31/1.76 % (1035177)Instructions burned: 195 (million)
% 8.31/1.76 % (1035173)Instruction limit reached!
% 8.31/1.76 % (1035173)------------------------------
% 8.31/1.76 % (1035173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/1.76 % (1035173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/1.76 % (1035173)CaDiCaL version: 2.1.3
% 8.31/1.76 % (1035173)Termination reason: Instruction limit
% 8.31/1.76 % (1035173)Termination phase: Saturation
% 8.31/1.76 % (1035173)Time elapsed: 0.107 s
% 8.31/1.76 % (1035173)Peak memory usage: 92 MB
% 8.31/1.76 % (1035173)Instructions burned: 190 (million)
% 8.31/1.76 % (1035176)Instruction limit reached!
% 8.31/1.76 % (1035176)------------------------------
% 8.31/1.76 % (1035176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/1.76 % (1035176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/1.76 % (1035176)CaDiCaL version: 2.1.3
% 8.31/1.76 % (1035176)Termination reason: Instruction limit
% 8.31/1.76 % (1035176)Termination phase: Saturation
% 8.31/1.76 % (1035176)Time elapsed: 0.066 s
% 8.31/1.76 % (1035176)Peak memory usage: 90 MB
% 8.31/1.76 % (1035176)Instructions burned: 127 (million)
% 8.31/1.76 % (1035174)Instruction limit reached!
% 8.31/1.76 % (1035174)------------------------------
% 8.31/1.76 % (1035174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/1.76 % (1035174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/1.76 % (1035174)CaDiCaL version: 2.1.3
% 8.31/1.76 % (1035174)Termination reason: Instruction limit
% 8.31/1.76 % (1035174)Termination phase: Saturation
% 8.31/1.76 % (1035174)Time elapsed: 0.136 s
% 8.31/1.76 % (1035174)Peak memory usage: 90 MB
% 8.31/1.76 % (1035174)Instructions burned: 220 (million)
% 8.31/1.76 % (1035182)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=439869252:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 8.31/1.76 % (1035183)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1672020742:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 8.31/1.76 % (1035182)Instruction limit reached!
% 8.31/1.76 % (1035182)------------------------------
% 8.31/1.76 % (1035182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/1.76 % (1035182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/1.76 % (1035182)CaDiCaL version: 2.1.3
% 8.31/1.76 % (1035182)Termination reason: Instruction limit
% 8.31/1.76 % (1035182)Termination phase: Saturation
% 8.31/1.76 % (1035182)Time elapsed: 0.053 s
% 8.31/1.76 % (1035182)Peak memory usage: 91 MB
% 8.31/1.76 % (1035182)Instructions burned: 157 (million)
% 8.31/1.76 % (1035184)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=237990735:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 8.31/1.76 % (1035185)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3716926720:i=107_2995 on theBenchmark for (2995ds/107Mi)
% 8.31/1.76 % (1035188)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=756022925:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2994 on theBenchmark for (2994ds/242Mi)
% 8.31/1.76 % (1035184)Instruction limit reached!
% 8.31/1.76 % (1035184)------------------------------
% 8.31/1.76 % (1035184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/1.76 % (1035184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/1.76 % (1035184)CaDiCaL version: 2.1.3
% 8.31/1.76 % (1035184)Termination reason: Instruction limit
% 8.31/1.76 % (1035184)Termination phase: Saturation
% 8.31/1.76 % (1035184)Time elapsed: 0.058 s
% 8.31/1.76 % (1035184)Peak memory usage: 90 MB
% 8.31/1.76 % (1035184)Instructions burned: 107 (million)
% 8.31/1.76 % (1035185)Instruction limit reached!
% 8.31/1.76 % (1035185)------------------------------
% 8.31/1.76 % (1035185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/1.76 % (1035185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/1.76 % (1035185)CaDiCaL version: 2.1.3
% 8.31/1.76 % (1035185)Termination reason: Instruction limit
% 8.31/1.76 % (1035185)Termination phase: Saturation
% 8.31/1.76 % (1035185)Time elapsed: 0.066 s
% 8.31/1.76 % (1035185)Peak memory usage: 90 MB
% 8.31/1.76 % (1035185)Instructions burned: 109 (million)
% 8.31/1.76 % (1035188)Instruction limit reached!
% 8.31/1.76 % (1035188)------------------------------
% 8.31/1.76 % (1035188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/1.76 % (1035188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/1.76 % (1035188)CaDiCaL version: 2.1.3
% 8.31/1.76 % (1035188)Termination reason: Instruction limit
% 8.31/1.76 % (1035188)Termination phase: Saturation
% 8.31/1.76 % (1035188)Time elapsed: 0.082 s
% 8.31/1.76 % (1035188)Peak memory usage: 90 MB
% 8.31/1.76 % (1035188)Instructions burned: 244 (million)
% 8.31/1.76 % (1035192)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1670418217:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 8.31/1.76 % (1035193)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=374797574:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 8.31/1.76 % (1035194)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3218634332:i=499:bd=all_2992 on theBenchmark for (2992ds/499Mi)
% 8.31/1.76 % (1035193)Instruction limit reached!
% 8.31/1.76 % (1035193)------------------------------
% 8.31/1.76 % (1035193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/1.76 % (1035193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/1.76 % (1035193)CaDiCaL version: 2.1.3
% 8.31/1.76 % (1035193)Termination reason: Instruction limit
% 8.31/1.76 % (1035193)Termination phase: Saturation
% 8.31/1.76 % (1035193)Time elapsed: 0.093 s
% 8.31/1.76 % (1035193)Peak memory usage: 90 MB
% 8.31/1.76 % (1035193)Instructions burned: 135 (million)
% 8.31/1.76 % (1035194)Instruction limit reached!
% 8.31/1.76 % (1035194)------------------------------
% 8.31/1.76 % (1035194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/1.76 % (1035194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/1.76 % (1035194)CaDiCaL version: 2.1.3
% 8.31/1.76 % (1035194)Termination reason: Instruction limit
% 8.31/1.76 % (1035194)Termination phase: Saturation
% 8.31/1.76 % (1035194)Time elapsed: 0.136 s
% 8.31/1.76 % (1035194)Peak memory usage: 97 MB
% 8.31/1.76 % (1035194)Instructions burned: 499 (million)
% 8.31/1.76 % (1035198)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1751426389:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 8.31/1.76 % (1035199)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3176992432:i=264:kws=precedence:fsr=off_2990 on theBenchmark for (2990ds/264Mi)
% 8.31/1.76 % (1035160)First to succeed.
% 8.31/1.76 % (1035160)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1035153"
% 8.31/1.76 % (1035199)Instruction limit reached!
% 8.31/1.76 % (1035199)------------------------------
% 8.31/1.76 % (1035199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/1.76 % (1035199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/1.76 % (1035199)CaDiCaL version: 2.1.3
% 8.31/1.76 % (1035199)Termination reason: Instruction limit
% 8.31/1.76 % (1035199)Termination phase: Saturation
% 8.31/1.76 % (1035199)Time elapsed: 0.075 s
% 8.31/1.76 % (1035199)Peak memory usage: 92 MB
% 8.31/1.76 % (1035199)Instructions burned: 267 (million)
% 8.31/1.76 % (1035198)Instruction limit reached!
% 8.31/1.76 % (1035198)------------------------------
% 8.31/1.76 % (1035198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/1.76 % (1035198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/1.76 % (1035198)CaDiCaL version: 2.1.3
% 8.31/1.76 % (1035198)Termination reason: Instruction limit
% 8.31/1.76 % (1035198)Termination phase: Saturation
% 8.31/1.76 % (1035198)Time elapsed: 0.109 s
% 8.31/1.76 % (1035198)Peak memory usage: 93 MB
% 8.31/1.76 % (1035198)Instructions burned: 191 (million)
% 8.31/1.76 % (1035202)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2821770467:cond=on:i=156:bs=on:gtg=exists_all:er=known_2988 on theBenchmark for (2988ds/156Mi)
% 8.31/1.76 % (1035202)Instruction limit reached!
% 8.31/1.76 % (1035202)------------------------------
% 8.31/1.76 % (1035202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/1.76 % (1035202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/1.76 % (1035202)CaDiCaL version: 2.1.3
% 8.31/1.76 % (1035202)Termination reason: Instruction limit
% 8.31/1.76 % (1035202)Termination phase: Saturation
% 8.31/1.76 % (1035202)Time elapsed: 0.052 s
% 8.31/1.76 % (1035202)Peak memory usage: 90 MB
% 8.31/1.76 % (1035202)Instructions burned: 158 (million)
% 8.31/1.76 % (1035203)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=1432392309:i=3256:kws=precedence:bd=preordered:av=off_2988 on theBenchmark for (2988ds/3256Mi)
% 8.31/1.76 % (1035160)Refutation found. Thanks to Tanya!
% 8.31/1.76 % SZS status Unsatisfiable for theBenchmark
% 8.31/1.76 % SZS output start Proof for theBenchmark
% See solution above
% 9.76/1.96 % (1035160)------------------------------
% 9.76/1.96 % (1035160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.76/1.96 % (1035160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.76/1.96 % (1035160)CaDiCaL version: 2.1.3
% 9.76/1.96 % (1035160)Termination reason: Refutation
% 9.76/1.96 % (1035160)Time elapsed: 0.929 s
% 9.76/1.96 % (1035160)Peak memory usage: 133 MB
% 9.76/1.96 % (1035160)Instructions burned: 1398 (million)
% 9.76/1.96 % (1035160)------------------------------
% 9.76/1.96 % (1035160)------------------------------
% 9.76/1.96 % (1035153)Success in time 1.33 s
% 9.76/1.96 % Vampire exiting
%------------------------------------------------------------------------------