%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC283-1 : 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 : n003.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 7.39s 1.99s
% Output : Refutation 9.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 41
% Syntax : Number of formulae : 197 ( 37 unt; 16 def)
% Number of atoms : 773 ( 26 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1163 ( 587 ~; 563 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 14 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 223 ( 0 sgn 223 !; 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(f106,axiom,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f117,axiom,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
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(f195,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)
| ~ strictorderedP(X5)
| ~ ssList(X5)
| lt(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f209,negated_conjecture,
strictorderedP(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(f217,negated_conjecture,
ssItem(sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
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(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(f245,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| lt(X1,X3) ),
inference(equality_resolution,[],[f195]) ).
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(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(f437,plain,
! [X0] :
( ssList(cons(sk6,X0))
| ~ ssList(sF1)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(superposition,[],[f85,f430]) ).
fof(f439,plain,
! [X0] :
( ssList(cons(sk6,X0))
| ~ ssList(sF1)
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f437]) ).
fof(f441,plain,
( ! [X0] :
( ssList(cons(sk6,X0))
| ~ ssList(X0) )
| ~ spl4_16 ),
inference(forward_subsumption_resolution,[],[f439,f355]) ).
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)
| ~ strictorderedP(app(X0,cons(X2,X3)))
| ~ ssList(X3)
| lt(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(superposition,[],[f245,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)
| ~ strictorderedP(app(X0,cons(X2,X3)))
| ~ ssList(X3)
| lt(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)
| ~ strictorderedP(app(X0,cons(X2,X3)))
| ~ ssList(X3)
| lt(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)
| ~ strictorderedP(app(X0,cons(X2,X3)))
| ~ ssList(X3)
| lt(X1,X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(forward_subsumption_resolution,[],[f452,f53]) ).
fof(f457,plain,
! [X0] :
( memberP(app(X0,sF1),sk6)
| ~ ssList(X0)
| ~ ssItem(sk6)
| ~ ssList(app(X0,sF1))
| ~ ssList(nil) ),
inference(superposition,[],[f241,f254]) ).
fof(f468,plain,
! [X0] :
( memberP(app(X0,sF1),sk6)
| ~ ssList(X0)
| ~ ssList(app(X0,sF1))
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f457,f212]) ).
fof(f472,plain,
( ! [X0] :
( memberP(app(X0,sF1),sk6)
| ~ ssList(X0)
| ~ ssList(app(X0,sF1)) )
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f468,f301]) ).
fof(f476,plain,
( ! [X0] :
( app(sF2,X0) = app(sk7,cons(sk6,X0))
| ~ ssList(X0)
| ~ ssList(X0) )
| ~ spl4_16 ),
inference(superposition,[],[f397,f430]) ).
fof(f480,plain,
( ! [X0] :
( app(sF2,X0) = app(sk7,cons(sk6,X0))
| ~ ssList(X0) )
| ~ spl4_16 ),
inference(duplicate_literal_removal,[],[f476]) ).
fof(f667,plain,
( ! [X0] :
( ssList(app(sF2,X0))
| ~ ssList(sk7)
| ~ ssList(cons(sk6,X0))
| ~ ssList(X0) )
| ~ spl4_16 ),
inference(superposition,[],[f85,f480]) ).
fof(f670,plain,
( ! [X0] :
( ssList(app(sF2,X0))
| ~ ssList(sk7)
| ~ ssList(X0) )
| ~ spl4_16 ),
inference(forward_subsumption_resolution,[],[f667,f441]) ).
fof(f674,plain,
( ! [X0] :
( ssList(app(sF2,X0))
| ~ ssList(X0) )
| ~ spl4_16 ),
inference(forward_subsumption_resolution,[],[f670,f213]) ).
fof(f830,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(f838,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,[],[f830]) ).
fof(f845,plain,
! [X2,X0,X1] :
( ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(skaf42(X0,X1))
| ~ ssItem(X1)
| ~ duplicatefreeP(app(X0,cons(X1,X2)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(forward_subsumption_resolution,[],[f838,f52]) ).
fof(f855,plain,
! [X2,X0,X1] :
( ~ ssList(app(X0,cons(X1,X2)))
| ~ ssItem(X1)
| ~ duplicatefreeP(app(X0,cons(X1,X2)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(forward_subsumption_resolution,[],[f845,f53]) ).
fof(f1250,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,[],[f855,f332]) ).
fof(f1265,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(X0,app(X1,cons(X2,X3))))
| ~ ssItem(X2)
| ~ ssItem(X4)
| ~ strictorderedP(app(X0,app(X1,cons(X2,X3))))
| ~ ssList(X3)
| lt(X4,X2)
| ~ ssList(app(X0,X1))
| ~ memberP(app(X0,X1),X4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(X2,X3)) ),
inference(superposition,[],[f454,f161]) ).
fof(f1274,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(X0,app(X1,cons(X2,X3))))
| ~ ssItem(X2)
| ~ ssItem(X4)
| ~ strictorderedP(app(X0,app(X1,cons(X2,X3))))
| ~ ssList(X3)
| lt(X4,X2)
| ~ memberP(app(X0,X1),X4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(X2,X3)) ),
inference(forward_subsumption_resolution,[],[f1265,f85]) ).
fof(f1281,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssItem(X2)
| ~ ssItem(X4)
| ~ strictorderedP(app(X0,app(X1,cons(X2,X3))))
| ~ ssList(X3)
| lt(X4,X2)
| ~ memberP(app(X0,X1),X4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(X2,X3)) ),
inference(forward_subsumption_resolution,[],[f1274,f374]) ).
fof(f1285,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderedP(app(X0,app(X1,cons(X2,X3))))
| ~ ssItem(X4)
| ~ ssItem(X2)
| ~ ssList(X3)
| lt(X4,X2)
| ~ memberP(app(X0,X1),X4)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f1281,f86]) ).
fof(f1290,plain,
! [X2,X3,X0,X1] :
( ~ strictorderedP(app(X1,X0))
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(skaf43(X2,X0))
| lt(X3,X2)
| ~ memberP(app(X1,skaf42(X0,X2)),X3)
| ~ ssList(skaf42(X0,X2))
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X2) ),
inference(superposition,[],[f1285,f182]) ).
fof(f1297,plain,
! [X2,X3,X0,X1] :
( ~ strictorderedP(app(X1,X0))
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(skaf43(X2,X0))
| lt(X3,X2)
| ~ memberP(app(X1,skaf42(X0,X2)),X3)
| ~ ssList(skaf42(X0,X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X0,X2) ),
inference(duplicate_literal_removal,[],[f1290]) ).
fof(f1305,plain,
! [X2,X3,X0,X1] :
( ~ strictorderedP(app(X1,X0))
| ~ ssItem(X3)
| ~ ssItem(X2)
| lt(X3,X2)
| ~ memberP(app(X1,skaf42(X0,X2)),X3)
| ~ ssList(skaf42(X0,X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X0,X2) ),
inference(forward_subsumption_resolution,[],[f1297,f52]) ).
fof(f1312,plain,
! [X2,X3,X0,X1] :
( ~ memberP(app(X1,skaf42(X0,X2)),X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| lt(X3,X2)
| ~ strictorderedP(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X0,X2) ),
inference(forward_subsumption_resolution,[],[f1305,f53]) ).
fof(f1320,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,[],[f1250,f161]) ).
fof(f1329,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,[],[f1320,f85]) ).
fof(f1336,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,[],[f1329,f374]) ).
fof(f1341,definition,
( spl4_25
<=> ! [X1] : ~ ssList(X1) ),
introduced(definition,[new_symbols(definition,[spl4_25])],[avatar_definition]) ).
fof(f1342,plain,
( ! [X1] : ~ ssList(X1)
| ~ spl4_25 ),
inference(avatar_component_clause,[],[f1341]) ).
fof(f1347,plain,
( ! [X2,X3,X0,X1] :
( ~ ssItem(X2)
| ~ ssList(X3)
| ~ memberP(app(X0,X1),X2)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl4_15 ),
inference(forward_subsumption_resolution,[],[f1336,f86]) ).
fof(f1350,definition,
( spl4_27
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ memberP(app(X0,X1),X2) ) ),
introduced(definition,[new_symbols(definition,[spl4_27])],[avatar_definition]) ).
fof(f1351,plain,
( ! [X2,X0,X1] :
( ~ memberP(app(X0,X1),X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2) )
| ~ spl4_27 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f1352,plain,
( spl4_25
| spl4_27
| ~ spl4_15 ),
inference(avatar_split_clause,[],[f1347,f331,f1350,f1341]) ).
fof(f1410,plain,
( memberP(sF2,sk6)
| ~ ssList(sk7)
| ~ ssList(sF2)
| ~ spl4_8 ),
inference(superposition,[],[f472,f256]) ).
fof(f1419,plain,
( memberP(sF2,sk6)
| ~ ssList(sF2)
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f1410,f213]) ).
fof(f1422,plain,
( memberP(sF2,sk6)
| ~ spl4_8
| ~ spl4_17 ),
inference(forward_subsumption_resolution,[],[f1419,f360]) ).
fof(f1607,plain,
( ! [X0,X1] :
( ~ ssList(app(sF2,X0))
| ~ ssItem(sk6)
| ~ ssItem(X1)
| ~ strictorderedP(app(sF2,X0))
| ~ ssList(X0)
| lt(X1,sk6)
| ~ ssList(sk7)
| ~ memberP(sk7,X1)
| ~ ssList(X0) )
| ~ spl4_16 ),
inference(superposition,[],[f454,f480]) ).
fof(f1620,plain,
( ! [X0,X1] :
( ~ ssList(app(sF2,X0))
| ~ ssItem(sk6)
| ~ ssItem(X1)
| ~ strictorderedP(app(sF2,X0))
| ~ ssList(X0)
| lt(X1,sk6)
| ~ ssList(sk7)
| ~ memberP(sk7,X1) )
| ~ spl4_16 ),
inference(duplicate_literal_removal,[],[f1607]) ).
fof(f1632,plain,
( ! [X0,X1] :
( ~ ssItem(sk6)
| ~ ssItem(X1)
| ~ strictorderedP(app(sF2,X0))
| ~ ssList(X0)
| lt(X1,sk6)
| ~ ssList(sk7)
| ~ memberP(sk7,X1) )
| ~ spl4_16 ),
inference(forward_subsumption_resolution,[],[f1620,f674]) ).
fof(f1644,plain,
( ! [X0,X1] :
( ~ ssItem(X1)
| ~ strictorderedP(app(sF2,X0))
| ~ ssList(X0)
| lt(X1,sk6)
| ~ ssList(sk7)
| ~ memberP(sk7,X1) )
| ~ spl4_16 ),
inference(forward_subsumption_resolution,[],[f1632,f212]) ).
fof(f1655,plain,
( ! [X0,X1] :
( ~ ssItem(X1)
| ~ strictorderedP(app(sF2,X0))
| ~ ssList(X0)
| lt(X1,sk6)
| ~ memberP(sk7,X1) )
| ~ spl4_16 ),
inference(forward_subsumption_resolution,[],[f1644,f213]) ).
fof(f1659,definition,
( spl4_28
<=> ! [X1] :
( lt(X1,sk6)
| ~ memberP(sk7,X1) ) ),
introduced(definition,[new_symbols(definition,[spl4_28])],[avatar_definition]) ).
fof(f1660,plain,
( ! [X1] :
( ~ memberP(sk7,X1)
| lt(X1,sk6) )
| ~ spl4_28 ),
inference(avatar_component_clause,[],[f1659]) ).
fof(f1662,definition,
( spl4_29
<=> ! [X0] :
( ~ strictorderedP(app(sF2,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_29])],[avatar_definition]) ).
fof(f1663,plain,
( ! [X0] :
( ~ strictorderedP(app(sF2,X0))
| ~ ssList(X0) )
| ~ spl4_29 ),
inference(avatar_component_clause,[],[f1662]) ).
fof(f1665,plain,
( ! [X0,X1] :
( ~ strictorderedP(app(sF2,X0))
| ~ ssList(X0)
| lt(X1,sk6)
| ~ memberP(sk7,X1) )
| ~ spl4_14
| ~ spl4_16 ),
inference(forward_subsumption_resolution,[],[f1655,f329]) ).
fof(f1666,plain,
( spl4_28
| spl4_29
| ~ spl4_14
| ~ spl4_16 ),
inference(avatar_split_clause,[],[f1665,f354,f328,f1662,f1659]) ).
fof(f1669,plain,
( $false
| ~ spl4_25 ),
inference(resolution,[],[f1342,f52]) ).
fof(f1689,plain,
~ spl4_25,
inference(avatar_contradiction_clause,[],[f1669]) ).
fof(f1707,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sF1)
| ~ ssItem(sk6)
| ~ ssList(X0)
| ~ ssList(app(X0,sF1)) )
| ~ spl4_8
| ~ spl4_27 ),
inference(resolution,[],[f1351,f472]) ).
fof(f1722,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sF1)
| ~ ssItem(sk6)
| ~ ssList(app(X0,sF1)) )
| ~ spl4_8
| ~ spl4_27 ),
inference(duplicate_literal_removal,[],[f1707]) ).
fof(f1733,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sF1)
| ~ ssItem(sk6) )
| ~ spl4_8
| ~ spl4_27 ),
inference(forward_subsumption_resolution,[],[f1722,f85]) ).
fof(f1739,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssItem(sk6) )
| ~ spl4_8
| ~ spl4_16
| ~ spl4_27 ),
inference(forward_subsumption_resolution,[],[f1733,f355]) ).
fof(f1741,plain,
( ! [X0] : ~ ssList(X0)
| ~ spl4_8
| ~ spl4_16
| ~ spl4_27 ),
inference(forward_subsumption_resolution,[],[f1739,f212]) ).
fof(f1746,plain,
( spl4_25
| ~ spl4_8
| ~ spl4_16
| ~ spl4_27 ),
inference(avatar_split_clause,[],[f1741,f1350,f354,f300,f1341]) ).
fof(f1858,plain,
( ~ strictorderedP(sk3)
| ~ ssList(sk8)
| ~ spl4_29 ),
inference(superposition,[],[f1663,f338]) ).
fof(f1861,plain,
( ~ ssList(sk8)
| ~ spl4_29 ),
inference(forward_subsumption_resolution,[],[f1858,f209]) ).
fof(f1863,plain,
( $false
| ~ spl4_29 ),
inference(forward_subsumption_resolution,[],[f1861,f214]) ).
fof(f1864,plain,
~ spl4_29,
inference(avatar_contradiction_clause,[],[f1863]) ).
fof(f1922,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| lt(X0,X1)
| ~ strictorderedP(app(X2,X3))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ memberP(X3,X1)
| ~ ssList(skaf42(X3,X1))
| ~ ssList(X2)
| ~ ssItem(X0)
| ~ memberP(X2,X0) ),
inference(resolution,[],[f1312,f151]) ).
fof(f1927,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| lt(X0,X1)
| ~ strictorderedP(app(X2,X3))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ memberP(X3,X1)
| ~ ssList(skaf42(X3,X1))
| ~ memberP(X2,X0) ),
inference(duplicate_literal_removal,[],[f1922]) ).
fof(f1933,plain,
( ! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| lt(X0,X1)
| ~ strictorderedP(app(X2,X3))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ memberP(X3,X1)
| ~ ssList(skaf42(X3,X1))
| ~ memberP(X2,X0) )
| ~ spl4_14 ),
inference(forward_subsumption_resolution,[],[f1927,f329]) ).
fof(f1939,plain,
( ! [X2,X3,X0,X1] :
( lt(X0,X1)
| ~ strictorderedP(app(X2,X3))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ memberP(X3,X1)
| ~ ssList(skaf42(X3,X1))
| ~ memberP(X2,X0) )
| ~ spl4_14 ),
inference(forward_subsumption_resolution,[],[f1933,f329]) ).
fof(f1945,plain,
( ! [X2,X3,X0,X1] :
( ~ strictorderedP(app(X2,X3))
| lt(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ memberP(X3,X1)
| ~ memberP(X2,X0) )
| ~ spl4_14 ),
inference(forward_subsumption_resolution,[],[f1939,f53]) ).
fof(f1961,plain,
( ! [X0,X1] :
( ~ strictorderedP(sk3)
| lt(X0,X1)
| ~ ssList(sF2)
| ~ ssList(sk8)
| ~ memberP(sk8,X1)
| ~ memberP(sF2,X0) )
| ~ spl4_14 ),
inference(superposition,[],[f1945,f338]) ).
fof(f1967,plain,
( ! [X0,X1] :
( lt(X0,X1)
| ~ ssList(sF2)
| ~ ssList(sk8)
| ~ memberP(sk8,X1)
| ~ memberP(sF2,X0) )
| ~ spl4_14 ),
inference(forward_subsumption_resolution,[],[f1961,f209]) ).
fof(f1978,plain,
( ! [X0,X1] :
( lt(X0,X1)
| ~ ssList(sk8)
| ~ memberP(sk8,X1)
| ~ memberP(sF2,X0) )
| ~ spl4_14
| ~ spl4_17 ),
inference(forward_subsumption_resolution,[],[f1967,f360]) ).
fof(f1983,plain,
( ! [X0,X1] :
( ~ memberP(sF2,X0)
| ~ memberP(sk8,X1)
| lt(X0,X1) )
| ~ spl4_14
| ~ spl4_17 ),
inference(forward_subsumption_resolution,[],[f1978,f214]) ).
fof(f2342,plain,
( ! [X0] :
( ~ memberP(sk8,X0)
| lt(sk6,X0) )
| ~ spl4_8
| ~ spl4_14
| ~ spl4_17 ),
inference(resolution,[],[f1983,f1422]) ).
fof(f2344,plain,
( lt(sk6,sk9)
| ~ spl4_5
| ~ spl4_8
| ~ spl4_14
| ~ spl4_17 ),
inference(resolution,[],[f2342,f287]) ).
fof(f2345,plain,
( ~ lt(sk9,sk6)
| ~ ssItem(sk9)
| ~ ssItem(sk6)
| ~ spl4_5
| ~ spl4_8
| ~ spl4_14
| ~ spl4_17 ),
inference(resolution,[],[f2344,f117]) ).
fof(f2346,plain,
( ~ ssItem(sk9)
| ~ ssItem(sk6)
| leq(sk6,sk9)
| ~ spl4_5
| ~ spl4_8
| ~ spl4_14
| ~ spl4_17 ),
inference(resolution,[],[f2344,f106]) ).
fof(f2347,plain,
( ~ ssItem(sk6)
| leq(sk6,sk9)
| ~ spl4_5
| ~ spl4_8
| ~ spl4_14
| ~ spl4_17 ),
inference(forward_subsumption_resolution,[],[f2346,f217]) ).
fof(f2348,plain,
( ~ lt(sk9,sk6)
| ~ ssItem(sk6)
| ~ spl4_5
| ~ spl4_8
| ~ spl4_14
| ~ spl4_17 ),
inference(forward_subsumption_resolution,[],[f2345,f217]) ).
fof(f2349,plain,
( leq(sk6,sk9)
| ~ spl4_5
| ~ spl4_8
| ~ spl4_14
| ~ spl4_17 ),
inference(forward_subsumption_resolution,[],[f2347,f212]) ).
fof(f2350,plain,
( ~ lt(sk9,sk6)
| ~ spl4_5
| ~ spl4_8
| ~ spl4_14
| ~ spl4_17 ),
inference(forward_subsumption_resolution,[],[f2348,f212]) ).
fof(f2351,plain,
( $false
| spl4_3
| ~ spl4_5
| ~ spl4_8
| ~ spl4_14
| ~ spl4_17 ),
inference(forward_subsumption_resolution,[],[f2349,f278]) ).
fof(f2352,plain,
( spl4_3
| ~ spl4_5
| ~ spl4_8
| ~ spl4_14
| ~ spl4_17 ),
inference(avatar_contradiction_clause,[],[f2351]) ).
fof(f2353,plain,
( lt(sk9,sk6)
| ~ spl4_6
| ~ spl4_28 ),
inference(resolution,[],[f292,f1660]) ).
fof(f2354,plain,
( $false
| ~ spl4_5
| ~ spl4_6
| ~ spl4_8
| ~ spl4_14
| ~ spl4_17
| ~ spl4_28 ),
inference(forward_subsumption_resolution,[],[f2353,f2350]) ).
fof(f2355,plain,
( ~ spl4_5
| ~ spl4_6
| ~ spl4_8
| ~ spl4_14
| ~ spl4_17
| ~ spl4_28 ),
inference(avatar_contradiction_clause,[],[f2354]) ).
fof(f2357,plain,
( ~ ssItem(sk6)
| ~ ssItem(sk9)
| leq(sk9,sk6)
| ~ spl4_6
| ~ spl4_28 ),
inference(resolution,[],[f2353,f106]) ).
fof(f2358,plain,
( ~ ssItem(sk9)
| leq(sk9,sk6)
| ~ spl4_6
| ~ spl4_28 ),
inference(forward_subsumption_resolution,[],[f2357,f212]) ).
fof(f2360,plain,
( leq(sk9,sk6)
| ~ spl4_6
| ~ spl4_28 ),
inference(forward_subsumption_resolution,[],[f2358,f217]) ).
fof(f2362,plain,
( $false
| spl4_4
| ~ spl4_6
| ~ spl4_28 ),
inference(forward_subsumption_resolution,[],[f2360,f282]) ).
fof(f2363,plain,
( spl4_4
| ~ spl4_6
| ~ spl4_28 ),
inference(avatar_contradiction_clause,[],[f2362]) ).
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(s24,plain,
( ~ spl4_15
| spl4_25
| spl4_27 ),
inference(sat_conversion,[],[f1352]) ).
cnf(s26,plain,
( ~ spl4_14
| ~ spl4_16
| spl4_28
| spl4_29 ),
inference(sat_conversion,[],[f1666]) ).
cnf(s35,plain,
~ spl4_25,
inference(sat_conversion,[],[f1689]) ).
cnf(s41,plain,
( ~ spl4_8
| ~ spl4_16
| spl4_25
| ~ spl4_27 ),
inference(sat_conversion,[],[f1746]) ).
cnf(s44,plain,
~ spl4_29,
inference(sat_conversion,[],[f1864]) ).
cnf(s51,plain,
( spl4_3
| ~ spl4_5
| ~ spl4_8
| ~ spl4_14
| ~ spl4_17 ),
inference(sat_conversion,[],[f2352]) ).
cnf(s52,plain,
( ~ spl4_5
| ~ spl4_6
| ~ spl4_8
| ~ spl4_14
| ~ spl4_17
| ~ spl4_28 ),
inference(sat_conversion,[],[f2355]) ).
cnf(s53,plain,
( spl4_4
| ~ spl4_6
| ~ spl4_28 ),
inference(sat_conversion,[],[f2363]) ).
cnf(s56,plain,
( ~ spl4_14
| ~ spl4_16
| spl4_28 ),
inference(rat,[],[s26,s44]) ).
cnf(s58,plain,
( ~ spl4_15
| spl4_27 ),
inference(rat,[],[s24,s35]) ).
cnf(s60,plain,
spl4_16,
inference(rat,[],[s18,s15]) ).
cnf(s61,plain,
~ spl4_27,
inference(rat,[],[s41,s15,s35,s60]) ).
cnf(s63,plain,
spl4_17,
inference(rat,[],[s16,s60]) ).
cnf(s64,plain,
~ spl4_15,
inference(rat,[],[s58,s61]) ).
cnf(s66,plain,
spl4_14,
inference(rat,[],[s12,s64]) ).
cnf(s68,plain,
spl4_28,
inference(rat,[],[s56,s60,s66]) ).
cnf(s73,plain,
spl4_5,
inference(rat,[],[s53,s3,s5,s68]) ).
cnf(s74,plain,
~ spl4_6,
inference(rat,[],[s52,s68,s63,s66,s15,s73]) ).
cnf(s75,plain,
spl4_3,
inference(rat,[],[s51,s63,s66,s15,s73]) ).
cnf(s76,plain,
$false,
inference(rat,[],[s4,s74,s75]) ).
fof(f2364,plain,
$false,
inference(avatar_sat_refutation,[],[s76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC283-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n003.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 08:53:57 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 7.39/1.96 % (1442142)Input is clausal, will run a generic CNF schedule.
% 7.39/1.96 % (1442151)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2469953255:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.39/1.96 % (1442147)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=172778955:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.39/1.96 % (1442148)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4072032978:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.39/1.96 % (1442150)lrs+10_1_sil=8000:sp=occurrence:random_seed=1489344681:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.39/1.96 % (1442152)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1020810353:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.39/1.96 % (1442149)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=642287562:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.39/1.96 % (1442151)Instruction limit reached!
% 7.39/1.96 % (1442151)------------------------------
% 7.39/1.96 % (1442151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.96 % (1442153)dis-21_1_sil=8000:lcm=predicate:random_seed=608070407: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)
% 7.39/1.96 % (1442151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.96 % (1442151)CaDiCaL version: 2.1.3
% 7.39/1.96 % (1442151)Termination reason: Instruction limit
% 7.39/1.96 % (1442151)Termination phase: Saturation
% 7.39/1.96 % (1442151)Time elapsed: 0.038 s
% 7.39/1.96 % (1442151)Peak memory usage: 89 MB
% 7.39/1.96 % (1442151)Instructions burned: 115 (million)
% 7.39/1.96 % (1442153)Instruction limit reached!
% 7.39/1.96 % (1442153)------------------------------
% 7.39/1.96 % (1442153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.96 % (1442153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.96 % (1442153)CaDiCaL version: 2.1.3
% 7.39/1.96 % (1442153)Termination reason: Instruction limit
% 7.39/1.96 % (1442153)Termination phase: Saturation
% 7.39/1.96 % (1442153)Time elapsed: 0.054 s
% 7.39/1.96 % (1442153)Peak memory usage: 89 MB
% 7.39/1.96 % (1442153)Instructions burned: 118 (million)
% 7.39/1.96 % (1442150)Instruction limit reached!
% 7.39/1.96 % (1442150)------------------------------
% 7.39/1.96 % (1442150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.96 % (1442150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.96 % (1442150)CaDiCaL version: 2.1.3
% 7.39/1.96 % (1442150)Termination reason: Instruction limit
% 7.39/1.96 % (1442150)Termination phase: Saturation
% 7.39/1.96 % (1442150)Time elapsed: 0.068 s
% 7.39/1.96 % (1442150)Peak memory usage: 89 MB
% 7.39/1.96 % (1442150)Instructions burned: 108 (million)
% 7.39/1.96 % (1442161)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=299268229:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.39/1.96 % (1442152)Instruction limit reached!
% 7.39/1.96 % (1442152)------------------------------
% 7.39/1.96 % (1442152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.96 % (1442152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.96 % (1442152)CaDiCaL version: 2.1.3
% 7.39/1.96 % (1442152)Termination reason: Instruction limit
% 7.39/1.96 % (1442152)Termination phase: Saturation
% 7.39/1.96 % (1442152)Time elapsed: 0.123 s
% 7.39/1.96 % (1442152)Peak memory usage: 90 MB
% 7.39/1.96 % (1442152)Instructions burned: 180 (million)
% 7.39/1.96 % (1442161)Instruction limit reached!
% 7.39/1.96 % (1442161)------------------------------
% 7.39/1.96 % (1442161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.96 % (1442161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.96 % (1442161)CaDiCaL version: 2.1.3
% 7.39/1.96 % (1442161)Termination reason: Instruction limit
% 7.39/1.96 % (1442161)Termination phase: Saturation
% 7.39/1.96 % (1442161)Time elapsed: 0.051 s
% 7.39/1.96 % (1442161)Peak memory usage: 90 MB
% 7.39/1.96 % (1442161)Instructions burned: 144 (million)
% 7.39/1.96 % (1442163)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4205357918:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.39/1.99 % (1442162)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3514967667: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)
% 7.39/1.99 % (1442166)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2556346470:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 7.39/1.99 % (1442165)lrs+10_64_to=lpo:sil=8000:random_seed=990405841:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 7.39/1.99 % (1442162)Instruction limit reached!
% 7.39/1.99 % (1442162)------------------------------
% 7.39/1.99 % (1442162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.99 % (1442162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.99 % (1442162)CaDiCaL version: 2.1.3
% 7.39/1.99 % (1442162)Termination reason: Instruction limit
% 7.39/1.99 % (1442162)Termination phase: Saturation
% 7.39/1.99 % (1442162)Time elapsed: 0.096 s
% 7.39/1.99 % (1442162)Peak memory usage: 92 MB
% 7.39/1.99 % (1442162)Instructions burned: 189 (million)
% 7.39/1.99 % (1442166)Instruction limit reached!
% 7.39/1.99 % (1442166)------------------------------
% 7.39/1.99 % (1442166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.99 % (1442166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.99 % (1442166)CaDiCaL version: 2.1.3
% 7.39/1.99 % (1442166)Termination reason: Instruction limit
% 7.39/1.99 % (1442166)Termination phase: Saturation
% 7.39/1.99 % (1442166)Time elapsed: 0.067 s
% 7.39/1.99 % (1442166)Peak memory usage: 90 MB
% 7.39/1.99 % (1442166)Instructions burned: 196 (million)
% 7.39/1.99 % (1442165)Instruction limit reached!
% 7.39/1.99 % (1442165)------------------------------
% 7.39/1.99 % (1442165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.99 % (1442165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.99 % (1442165)CaDiCaL version: 2.1.3
% 7.39/1.99 % (1442165)Termination reason: Instruction limit
% 7.39/1.99 % (1442165)Termination phase: Saturation
% 7.39/1.99 % (1442165)Time elapsed: 0.066 s
% 7.39/1.99 % (1442165)Peak memory usage: 90 MB
% 7.39/1.99 % (1442165)Instructions burned: 127 (million)
% 7.39/1.99 % (1442163)Instruction limit reached!
% 7.39/1.99 % (1442163)------------------------------
% 7.39/1.99 % (1442163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.99 % (1442163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.99 % (1442163)CaDiCaL version: 2.1.3
% 7.39/1.99 % (1442163)Termination reason: Instruction limit
% 7.39/1.99 % (1442163)Termination phase: Saturation
% 7.39/1.99 % (1442163)Time elapsed: 0.137 s
% 7.39/1.99 % (1442163)Peak memory usage: 91 MB
% 7.39/1.99 % (1442163)Instructions burned: 219 (million)
% 7.39/1.99 % (1442172)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1651917632:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 7.39/1.99 % (1442171)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2641268092:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 7.39/1.99 % (1442173)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=2659394243:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 7.39/1.99 % (1442174)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2977890094:i=107_2995 on theBenchmark for (2995ds/107Mi)
% 7.39/1.99 % (1442171)Instruction limit reached!
% 7.39/1.99 % (1442171)------------------------------
% 7.39/1.99 % (1442171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.99 % (1442171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.99 % (1442171)CaDiCaL version: 2.1.3
% 7.39/1.99 % (1442171)Termination reason: Instruction limit
% 7.39/1.99 % (1442171)Termination phase: Saturation
% 7.39/1.99 % (1442171)Time elapsed: 0.097 s
% 7.39/1.99 % (1442171)Peak memory usage: 91 MB
% 7.39/1.99 % (1442171)Instructions burned: 159 (million)
% 7.39/1.99 % (1442173)Instruction limit reached!
% 7.39/1.99 % (1442173)------------------------------
% 7.39/1.99 % (1442173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.99 % (1442173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.99 % (1442173)CaDiCaL version: 2.1.3
% 7.39/1.99 % (1442173)Termination reason: Instruction limit
% 7.39/1.99 % (1442173)Termination phase: Saturation
% 7.39/1.99 % (1442173)Time elapsed: 0.055 s
% 7.39/1.99 % (1442173)Peak memory usage: 90 MB
% 7.39/1.99 % (1442173)Instructions burned: 106 (million)
% 7.39/1.99 % (1442174)Instruction limit reached!
% 7.39/1.99 % (1442174)------------------------------
% 7.39/1.99 % (1442174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.99 % (1442174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.99 % (1442174)CaDiCaL version: 2.1.3
% 7.39/1.99 % (1442174)Termination reason: Instruction limit
% 7.39/1.99 % (1442174)Termination phase: Saturation
% 7.39/1.99 % (1442174)Time elapsed: 0.064 s
% 7.39/1.99 % (1442174)Peak memory usage: 90 MB
% 7.39/1.99 % (1442174)Instructions burned: 108 (million)
% 7.39/1.99 % (1442179)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2630916452:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 7.39/1.99 % (1442181)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=110401633:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 7.39/1.99 % (1442180)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1526282951:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 7.39/1.99 % (1442181)Instruction limit reached!
% 7.39/1.99 % (1442181)------------------------------
% 7.39/1.99 % (1442181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.99 % (1442181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.99 % (1442181)CaDiCaL version: 2.1.3
% 7.39/1.99 % (1442181)Termination reason: Instruction limit
% 7.39/1.99 % (1442181)Termination phase: Saturation
% 7.39/1.99 % (1442181)Time elapsed: 0.092 s
% 7.39/1.99 % (1442181)Peak memory usage: 90 MB
% 7.39/1.99 % (1442181)Instructions burned: 135 (million)
% 7.39/1.99 % (1442179)Instruction limit reached!
% 7.39/1.99 % (1442179)------------------------------
% 7.39/1.99 % (1442179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.99 % (1442179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.99 % (1442179)CaDiCaL version: 2.1.3
% 7.39/1.99 % (1442179)Termination reason: Instruction limit
% 7.39/1.99 % (1442179)Termination phase: Saturation
% 7.39/1.99 % (1442179)Time elapsed: 0.150 s
% 7.39/1.99 % (1442179)Peak memory usage: 90 MB
% 7.39/1.99 % (1442179)Instructions burned: 243 (million)
% 7.39/1.99 % (1442185)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1481563350:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 7.39/1.99 % (1442149)First to succeed.
% 7.39/1.99 % (1442149)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1442142"
% 7.39/1.99 % (1442186)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=790315786:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 7.39/1.99 % (1442186)Instruction limit reached!
% 7.39/1.99 % (1442186)------------------------------
% 7.39/1.99 % (1442186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.99 % (1442186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.99 % (1442186)CaDiCaL version: 2.1.3
% 7.39/1.99 % (1442186)Termination reason: Instruction limit
% 7.39/1.99 % (1442186)Termination phase: Saturation
% 7.39/1.99 % (1442186)Time elapsed: 0.107 s
% 7.39/1.99 % (1442186)Peak memory usage: 93 MB
% 7.39/1.99 % (1442186)Instructions burned: 191 (million)
% 7.39/1.99 % (1442185)Instruction limit reached!
% 7.39/1.99 % (1442185)------------------------------
% 7.39/1.99 % (1442185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.99 % (1442185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.99 % (1442185)CaDiCaL version: 2.1.3
% 7.39/1.99 % (1442185)Termination reason: Instruction limit
% 7.39/1.99 % (1442185)Termination phase: Saturation
% 7.39/1.99 % (1442185)Time elapsed: 0.253 s
% 7.39/1.99 % (1442185)Peak memory usage: 97 MB
% 7.39/1.99 % (1442185)Instructions burned: 501 (million)
% 7.39/1.99 % (1442189)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2598440573:i=264:kws=precedence:fsr=off_2988 on theBenchmark for (2988ds/264Mi)
% 7.39/1.99 % (1442149)Refutation found. Thanks to Tanya!
% 7.39/1.99 % SZS status Unsatisfiable for theBenchmark
% 7.39/1.99 % SZS output start Proof for theBenchmark
% See solution above
% 9.92/2.18 % (1442149)------------------------------
% 9.92/2.18 % (1442149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.18 % (1442149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.18 % (1442149)CaDiCaL version: 2.1.3
% 9.92/2.18 % (1442149)Termination reason: Refutation
% 9.92/2.18 % (1442149)Time elapsed: 0.912 s
% 9.92/2.18 % (1442149)Peak memory usage: 133 MB
% 9.92/2.18 % (1442149)Instructions burned: 1363 (million)
% 9.92/2.18 % (1442149)------------------------------
% 9.92/2.18 % (1442149)------------------------------
% 9.92/2.18 % (1442142)Success in time 1.32 s
% 9.92/2.18 % Vampire exiting
%------------------------------------------------------------------------------