%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC169-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:02:46 PM UTC 2026
% Result : Unsatisfiable 8.50s 2.08s
% Output : Refutation 9.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 39
% Syntax : Number of formulae : 184 ( 39 unt; 16 def)
% Number of atoms : 629 ( 134 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 873 ( 428 ~; 435 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 11 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 14 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f77,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
fof(f98,axiom,
! [X0,X1] :
( cons(X0,X1) != nil
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f99,plain,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(reorient_equations,[],[f98]) ).
fof(f104,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
fof(f105,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f104]) ).
fof(f121,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f122,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
inference(reorient_equations,[],[f121]) ).
fof(f123,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f124,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
inference(reorient_equations,[],[f123]) ).
fof(f144,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
fof(f173,axiom,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| X2 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| X0 = X2 ),
inference(reorient_equations,[],[f173]) ).
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/sandbox2/benchmark/theBenchmark.p',clause175) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
sk1 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(reorient_equations,[],[f210]) ).
fof(f212,negated_conjecture,
~ neq(sk5,sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f214,negated_conjecture,
( ssItem(sk9)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f218,negated_conjecture,
( cons(sk9,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f219,plain,
( sk3 = cons(sk9,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f218]) ).
fof(f223,plain,
sk3 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(definition_unfolding,[],[f211,f205]) ).
fof(f239,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(f248,definition,
sF0 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f249,plain,
cons(sk5,nil) = sF0,
inference(reorient_equations,[],[f248]) ).
fof(f250,definition,
sF1 = app(sk7,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f251,plain,
app(sk7,sF0) = sF1,
inference(reorient_equations,[],[f250]) ).
fof(f252,definition,
sF2 = cons(sk6,nil),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f253,plain,
cons(sk6,nil) = sF2,
inference(reorient_equations,[],[f252]) ).
fof(f254,definition,
sF3 = app(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f255,plain,
app(sF1,sF2) = sF3,
inference(reorient_equations,[],[f254]) ).
fof(f256,definition,
sF4 = app(sF3,sk8),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f257,plain,
app(sF3,sk8) = sF4,
inference(reorient_equations,[],[f256]) ).
fof(f258,plain,
sk3 = sF4,
inference(definition_folding,[],[f223,f257,f255,f253,f251,f249]) ).
fof(f259,definition,
sF5 = cons(sk9,nil),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f260,plain,
cons(sk9,nil) = sF5,
inference(reorient_equations,[],[f259]) ).
fof(f262,plain,
( sk3 = sF5
| nil = sk3 ),
inference(definition_folding,[],[f219,f260]) ).
fof(f270,definition,
( spl6_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f279,definition,
( spl6_3
<=> sk3 = sF5 ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f281,plain,
( sk3 = sF5
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f282,plain,
( spl6_1
| spl6_3 ),
inference(avatar_split_clause,[],[f262,f279,f270]) ).
fof(f290,definition,
( spl6_5
<=> ssItem(sk9) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
fof(f292,plain,
( ssItem(sk9)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f293,plain,
( spl6_1
| spl6_5 ),
inference(avatar_split_clause,[],[f214,f290,f270]) ).
fof(f300,definition,
( spl6_7
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
fof(f301,plain,
( ssList(nil)
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f336,plain,
spl6_7,
inference(avatar_split_clause,[],[f8,f300]) ).
fof(f337,plain,
sk3 = app(sF3,sk8),
inference(forward_demodulation,[],[f257,f258]) ).
fof(f340,definition,
( spl6_15
<=> sk5 = sk6 ),
introduced(definition,[new_symbols(definition,[spl6_15])],[avatar_definition]) ).
fof(f342,plain,
( sk5 = sk6
| ~ spl6_15 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f354,plain,
! [X0] :
( ~ memberP(sF5,X0)
| ~ ssList(nil)
| ~ ssItem(sk9)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk9 = X0 ),
inference(superposition,[],[f174,f260]) ).
fof(f355,plain,
( ! [X0] :
( ~ memberP(sF5,X0)
| ~ ssItem(sk9)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk9 = X0 )
| ~ spl6_7 ),
inference(forward_subsumption_resolution,[],[f354,f301]) ).
fof(f365,plain,
( ~ ssItem(sk5)
| ~ ssItem(sk6)
| sk5 = sk6 ),
inference(resolution,[],[f105,f212]) ).
fof(f366,plain,
( ~ ssItem(sk6)
| sk5 = sk6 ),
inference(forward_subsumption_resolution,[],[f365,f206]) ).
fof(f367,plain,
sk5 = sk6,
inference(forward_subsumption_resolution,[],[f366,f207]) ).
fof(f368,plain,
spl6_15,
inference(avatar_split_clause,[],[f367,f340]) ).
fof(f371,plain,
( cons(sk5,nil) = sF2
| ~ spl6_15 ),
inference(superposition,[],[f253,f342]) ).
fof(f372,plain,
( sF0 = sF2
| ~ spl6_15 ),
inference(forward_demodulation,[],[f371,f249]) ).
fof(f373,plain,
( sF3 = app(sF1,sF0)
| ~ spl6_15 ),
inference(superposition,[],[f255,f372]) ).
fof(f374,plain,
! [X0] :
( memberP(app(X0,sF0),sk5)
| ~ ssList(X0)
| ~ ssItem(sk5)
| ~ ssList(app(X0,sF0))
| ~ ssList(nil) ),
inference(superposition,[],[f239,f249]) ).
fof(f379,plain,
! [X0] :
( memberP(app(X0,sF0),sk5)
| ~ ssList(X0)
| ~ ssList(app(X0,sF0))
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f374,f206]) ).
fof(f382,plain,
( ! [X0] :
( memberP(app(X0,sF0),sk5)
| ~ ssList(X0)
| ~ ssList(app(X0,sF0)) )
| ~ spl6_7 ),
inference(forward_subsumption_resolution,[],[f379,f301]) ).
fof(f388,plain,
( ssList(sF0)
| ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(superposition,[],[f86,f249]) ).
fof(f393,plain,
( ssList(sF0)
| ~ ssItem(sk5)
| ~ spl6_7 ),
inference(forward_subsumption_resolution,[],[f388,f301]) ).
fof(f396,plain,
( ssList(sF0)
| ~ spl6_7 ),
inference(forward_subsumption_resolution,[],[f393,f206]) ).
fof(f399,plain,
( nil != sF0
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[],[f99,f249]) ).
fof(f404,plain,
( nil != sF0
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f399,f206]) ).
fof(f407,plain,
( nil != sF0
| ~ spl6_7 ),
inference(forward_subsumption_resolution,[],[f404,f301]) ).
fof(f411,plain,
( ssList(sF1)
| ~ ssList(sk7)
| ~ ssList(sF0) ),
inference(superposition,[],[f85,f251]) ).
fof(f413,plain,
( ssList(sF3)
| ~ ssList(sF1)
| ~ ssList(sF2) ),
inference(superposition,[],[f85,f255]) ).
fof(f414,plain,
( ~ ssList(sF0)
| ssList(sF3)
| ~ ssList(sF1)
| ~ spl6_15 ),
inference(forward_demodulation,[],[f413,f372]) ).
fof(f415,plain,
( ssList(sF1)
| ~ ssList(sF0) ),
inference(forward_subsumption_resolution,[],[f411,f208]) ).
fof(f416,plain,
( ssList(sF3)
| ~ ssList(sF1)
| ~ spl6_7
| ~ spl6_15 ),
inference(forward_subsumption_resolution,[],[f414,f396]) ).
fof(f417,plain,
( ssList(sF1)
| ~ spl6_7 ),
inference(forward_subsumption_resolution,[],[f415,f396]) ).
fof(f419,definition,
( spl6_18
<=> ssList(sF1) ),
introduced(definition,[new_symbols(definition,[spl6_18])],[avatar_definition]) ).
fof(f420,plain,
( ssList(sF1)
| ~ spl6_18 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f423,definition,
( spl6_19
<=> ssList(sF3) ),
introduced(definition,[new_symbols(definition,[spl6_19])],[avatar_definition]) ).
fof(f425,plain,
( ssList(sF3)
| ~ spl6_19 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f426,plain,
( ~ spl6_18
| spl6_19
| ~ spl6_7
| ~ spl6_15 ),
inference(avatar_split_clause,[],[f416,f340,f300,f423,f419]) ).
fof(f427,plain,
( spl6_18
| ~ spl6_7 ),
inference(avatar_split_clause,[],[f417,f300,f419]) ).
fof(f435,plain,
( sF3 = app(sF3,nil)
| ~ spl6_19 ),
inference(resolution,[],[f73,f425]) ).
fof(f437,plain,
( nil != sF1
| ~ ssList(sF0)
| ~ ssList(sk7)
| nil = sF0 ),
inference(superposition,[],[f124,f251]) ).
fof(f439,plain,
( nil != sF3
| ~ ssList(sF2)
| ~ ssList(sF1)
| nil = sF2 ),
inference(superposition,[],[f124,f255]) ).
fof(f440,plain,
( nil != sF3
| ~ ssList(sF2)
| nil = sF2
| ~ spl6_18 ),
inference(forward_subsumption_resolution,[],[f439,f420]) ).
fof(f441,plain,
( nil != sF1
| ~ ssList(sk7)
| nil = sF0
| ~ spl6_7 ),
inference(forward_subsumption_resolution,[],[f437,f396]) ).
fof(f442,plain,
( ~ ssList(sF0)
| nil != sF3
| nil = sF2
| ~ spl6_15
| ~ spl6_18 ),
inference(forward_demodulation,[],[f440,f372]) ).
fof(f443,plain,
( nil != sF1
| nil = sF0
| ~ spl6_7 ),
inference(forward_subsumption_resolution,[],[f441,f208]) ).
fof(f444,plain,
( nil != sF3
| nil = sF2
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18 ),
inference(forward_subsumption_resolution,[],[f442,f396]) ).
fof(f445,plain,
( nil != sF1
| ~ spl6_7 ),
inference(forward_subsumption_resolution,[],[f443,f407]) ).
fof(f446,plain,
( nil = sF0
| nil != sF3
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18 ),
inference(forward_demodulation,[],[f444,f372]) ).
fof(f447,plain,
( nil != sF3
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18 ),
inference(forward_subsumption_resolution,[],[f446,f407]) ).
fof(f449,plain,
( nil != sk3
| ~ ssList(sk8)
| ~ ssList(sF3)
| nil = sF3 ),
inference(superposition,[],[f122,f337]) ).
fof(f516,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(sk5,X0)) = X0 ),
inference(resolution,[],[f96,f206]) ).
fof(f540,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sF1
| tl(app(sF1,X0)) = app(tl(sF1),X0) )
| ~ spl6_18 ),
inference(resolution,[],[f144,f420]) ).
fof(f541,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sF3
| tl(app(sF3,X0)) = app(tl(sF3),X0) )
| ~ spl6_19 ),
inference(resolution,[],[f144,f425]) ).
fof(f542,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(sF3,X0)) = app(tl(sF3),X0) )
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19 ),
inference(forward_subsumption_resolution,[],[f541,f447]) ).
fof(f543,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(sF1,X0)) = app(tl(sF1),X0) )
| ~ spl6_7
| ~ spl6_18 ),
inference(forward_subsumption_resolution,[],[f540,f445]) ).
fof(f546,definition,
( spl6_20
<=> nil = sk8 ),
introduced(definition,[new_symbols(definition,[spl6_20])],[avatar_definition]) ).
fof(f547,plain,
( nil != sk8
| spl6_20 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f548,plain,
( nil = sk8
| ~ spl6_20 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f570,plain,
( sk3 = app(sF3,nil)
| ~ spl6_20 ),
inference(superposition,[],[f337,f548]) ).
fof(f571,plain,
( sk3 = sF3
| ~ spl6_19
| ~ spl6_20 ),
inference(forward_demodulation,[],[f570,f435]) ).
fof(f581,plain,
( tl(app(sF3,sk8)) = app(tl(sF3),sk8)
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19 ),
inference(resolution,[],[f542,f209]) ).
fof(f600,plain,
( tl(app(sF1,sF0)) = app(tl(sF1),sF0)
| ~ spl6_7
| ~ spl6_18 ),
inference(resolution,[],[f543,f396]) ).
fof(f753,plain,
( memberP(sF3,sk5)
| ~ ssList(sF1)
| ~ ssList(sF3)
| ~ spl6_7
| ~ spl6_15 ),
inference(superposition,[],[f382,f373]) ).
fof(f755,plain,
( memberP(sF3,sk5)
| ~ ssList(sF3)
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18 ),
inference(forward_subsumption_resolution,[],[f753,f420]) ).
fof(f758,plain,
( memberP(sF3,sk5)
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19 ),
inference(forward_subsumption_resolution,[],[f755,f425]) ).
fof(f888,plain,
( nil != sk3
| ~ ssList(sF3)
| nil = sF3 ),
inference(forward_subsumption_resolution,[],[f449,f209]) ).
fof(f901,plain,
( nil != sk3
| nil = sF3
| ~ spl6_19 ),
inference(forward_subsumption_resolution,[],[f888,f425]) ).
fof(f911,plain,
( nil != sk3
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19 ),
inference(forward_subsumption_resolution,[],[f901,f447]) ).
fof(f978,plain,
( ! [X0] :
( ~ memberP(sF5,X0)
| ~ ssItem(sk9)
| ~ ssItem(X0)
| sk9 = X0 )
| ~ spl6_7 ),
inference(forward_subsumption_resolution,[],[f355,f71]) ).
fof(f998,plain,
( ! [X0] :
( ~ memberP(sF5,X0)
| ~ ssItem(X0)
| sk9 = X0 )
| ~ spl6_5
| ~ spl6_7 ),
inference(forward_subsumption_resolution,[],[f978,f292]) ).
fof(f1017,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| sk9 = X0 )
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7 ),
inference(forward_demodulation,[],[f998,f281]) ).
fof(f1026,plain,
( ! [X0] :
( ~ memberP(sF3,X0)
| ~ ssItem(X0)
| sk9 = X0 )
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7
| ~ spl6_19
| ~ spl6_20 ),
inference(forward_demodulation,[],[f1017,f571]) ).
fof(f1036,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sk9,X0)) = X0 )
| ~ spl6_5 ),
inference(resolution,[],[f292,f96]) ).
fof(f1042,plain,
( nil = tl(cons(sk9,nil))
| ~ spl6_5
| ~ spl6_7 ),
inference(resolution,[],[f1036,f301]) ).
fof(f1058,plain,
( nil = tl(sF5)
| ~ spl6_5
| ~ spl6_7 ),
inference(forward_demodulation,[],[f1042,f260]) ).
fof(f1061,plain,
( nil = tl(sk3)
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7 ),
inference(forward_demodulation,[],[f1058,f281]) ).
fof(f1122,plain,
( ~ ssItem(sk5)
| sk5 = sk9
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19
| ~ spl6_20 ),
inference(resolution,[],[f1026,f758]) ).
fof(f1123,plain,
( sk5 = sk9
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19
| ~ spl6_20 ),
inference(forward_subsumption_resolution,[],[f1122,f206]) ).
fof(f1126,plain,
( cons(sk9,nil) = sF0
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19
| ~ spl6_20 ),
inference(superposition,[],[f249,f1123]) ).
fof(f1132,plain,
( sF0 = sF5
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19
| ~ spl6_20 ),
inference(forward_demodulation,[],[f1126,f260]) ).
fof(f1134,plain,
( sk3 = sF0
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19
| ~ spl6_20 ),
inference(forward_demodulation,[],[f1132,f281]) ).
fof(f1136,plain,
( sF0 = sF3
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19
| ~ spl6_20 ),
inference(forward_demodulation,[],[f1134,f571]) ).
fof(f1374,plain,
( nil = tl(cons(sk5,nil))
| ~ spl6_7 ),
inference(resolution,[],[f516,f301]) ).
fof(f1399,plain,
( nil = tl(sF0)
| ~ spl6_7 ),
inference(forward_demodulation,[],[f1374,f249]) ).
fof(f1712,plain,
( tl(sk3) = app(tl(sF3),sk8)
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19 ),
inference(forward_demodulation,[],[f581,f337]) ).
fof(f1722,plain,
( ~ spl6_1
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19 ),
inference(avatar_split_clause,[],[f911,f423,f419,f340,f300,f270]) ).
fof(f1739,plain,
( nil = app(tl(sF3),sk8)
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19 ),
inference(forward_demodulation,[],[f1712,f1061]) ).
fof(f1771,plain,
( nil != nil
| ~ ssList(sk8)
| ~ ssList(tl(sF3))
| nil = sk8
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19 ),
inference(superposition,[],[f124,f1739]) ).
fof(f1773,plain,
( ~ ssList(sk8)
| ~ ssList(tl(sF3))
| nil = sk8
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19 ),
inference(trivial_inequality_removal,[],[f1771]) ).
fof(f1775,plain,
( ~ ssList(tl(sF3))
| nil = sk8
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19 ),
inference(forward_subsumption_resolution,[],[f1773,f209]) ).
fof(f1779,plain,
( ~ ssList(tl(sF3))
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19
| spl6_20 ),
inference(forward_subsumption_resolution,[],[f1775,f547]) ).
fof(f1785,definition,
( spl6_41
<=> ssList(tl(sF3)) ),
introduced(definition,[new_symbols(definition,[spl6_41])],[avatar_definition]) ).
fof(f1787,plain,
( ~ ssList(tl(sF3))
| spl6_41 ),
inference(avatar_component_clause,[],[f1785]) ).
fof(f1791,plain,
( ~ spl6_41
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19
| spl6_20 ),
inference(avatar_split_clause,[],[f1779,f546,f423,f419,f340,f300,f290,f279,f1785]) ).
fof(f1802,plain,
( ~ ssList(sF3)
| nil = sF3
| spl6_41 ),
inference(resolution,[],[f1787,f77]) ).
fof(f1803,plain,
( nil = sF3
| ~ spl6_19
| spl6_41 ),
inference(forward_subsumption_resolution,[],[f1802,f425]) ).
fof(f1804,plain,
( $false
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19
| spl6_41 ),
inference(forward_subsumption_resolution,[],[f1803,f447]) ).
fof(f1805,plain,
( ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19
| spl6_41 ),
inference(avatar_contradiction_clause,[],[f1804]) ).
fof(f1820,plain,
( tl(sF3) = app(tl(sF1),sF0)
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18 ),
inference(forward_demodulation,[],[f600,f373]) ).
fof(f1853,plain,
( tl(sF0) = app(tl(sF1),sF0)
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19
| ~ spl6_20 ),
inference(forward_demodulation,[],[f1820,f1136]) ).
fof(f1869,plain,
( nil = app(tl(sF1),sF0)
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19
| ~ spl6_20 ),
inference(forward_demodulation,[],[f1853,f1399]) ).
fof(f1891,plain,
( nil != nil
| ~ ssList(sF0)
| ~ ssList(tl(sF1))
| nil = sF0
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19
| ~ spl6_20 ),
inference(superposition,[],[f124,f1869]) ).
fof(f1893,plain,
( ~ ssList(sF0)
| ~ ssList(tl(sF1))
| nil = sF0
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19
| ~ spl6_20 ),
inference(trivial_inequality_removal,[],[f1891]) ).
fof(f1895,plain,
( ~ ssList(tl(sF1))
| nil = sF0
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19
| ~ spl6_20 ),
inference(forward_subsumption_resolution,[],[f1893,f396]) ).
fof(f1901,plain,
( ~ ssList(tl(sF1))
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19
| ~ spl6_20 ),
inference(forward_subsumption_resolution,[],[f1895,f407]) ).
fof(f1907,definition,
( spl6_45
<=> ssList(tl(sF1)) ),
introduced(definition,[new_symbols(definition,[spl6_45])],[avatar_definition]) ).
fof(f1909,plain,
( ~ ssList(tl(sF1))
| spl6_45 ),
inference(avatar_component_clause,[],[f1907]) ).
fof(f1915,plain,
( ~ spl6_45
| ~ spl6_3
| ~ spl6_5
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19
| ~ spl6_20 ),
inference(avatar_split_clause,[],[f1901,f546,f423,f419,f340,f300,f290,f279,f1907]) ).
fof(f1946,plain,
( ~ ssList(sF1)
| nil = sF1
| spl6_45 ),
inference(resolution,[],[f1909,f77]) ).
fof(f1947,plain,
( nil = sF1
| ~ spl6_18
| spl6_45 ),
inference(forward_subsumption_resolution,[],[f1946,f420]) ).
fof(f1948,plain,
( $false
| ~ spl6_7
| ~ spl6_18
| spl6_45 ),
inference(forward_subsumption_resolution,[],[f1947,f445]) ).
fof(f1949,plain,
( ~ spl6_7
| ~ spl6_18
| spl6_45 ),
inference(avatar_contradiction_clause,[],[f1948]) ).
cnf(s2,plain,
( spl6_1
| spl6_3 ),
inference(sat_conversion,[],[f282]) ).
cnf(s5,plain,
( spl6_1
| spl6_5 ),
inference(sat_conversion,[],[f293]) ).
cnf(s16,plain,
spl6_7,
inference(sat_conversion,[],[f336]) ).
cnf(s18,plain,
spl6_15,
inference(sat_conversion,[],[f368]) ).
cnf(s20,plain,
( ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| spl6_19 ),
inference(sat_conversion,[],[f426]) ).
cnf(s21,plain,
( ~ spl6_7
| spl6_18 ),
inference(sat_conversion,[],[f427]) ).
cnf(s47,plain,
( ~ spl6_1
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19 ),
inference(sat_conversion,[],[f1722]) ).
cnf(s50,plain,
( ~ spl6_3
| ~ spl6_5
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19
| spl6_20
| ~ spl6_41 ),
inference(sat_conversion,[],[f1791]) ).
cnf(s53,plain,
( ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19
| spl6_41 ),
inference(sat_conversion,[],[f1805]) ).
cnf(s55,plain,
( ~ spl6_3
| ~ spl6_5
| ~ spl6_7
| ~ spl6_15
| ~ spl6_18
| ~ spl6_19
| ~ spl6_20
| ~ spl6_45 ),
inference(sat_conversion,[],[f1915]) ).
cnf(s60,plain,
( ~ spl6_7
| ~ spl6_18
| spl6_45 ),
inference(sat_conversion,[],[f1949]) ).
cnf(s63,plain,
spl6_18,
inference(rat,[],[s21,s16]) ).
cnf(s65,plain,
spl6_45,
inference(rat,[],[s60,s16,s63]) ).
cnf(s66,plain,
spl6_19,
inference(rat,[],[s20,s16,s18,s63]) ).
cnf(s67,plain,
~ spl6_1,
inference(rat,[],[s47,s66,s16,s18,s63]) ).
cnf(s68,plain,
spl6_41,
inference(rat,[],[s53,s63,s16,s18,s66]) ).
cnf(s74,plain,
spl6_5,
inference(rat,[],[s5,s67]) ).
cnf(s78,plain,
spl6_3,
inference(rat,[],[s2,s67]) ).
cnf(s79,plain,
~ spl6_20,
inference(rat,[],[s55,s65,s74,s66,s63,s18,s16,s78]) ).
cnf(s80,plain,
$false,
inference(rat,[],[s50,s68,s74,s66,s63,s18,s16,s79,s78]) ).
fof(f1950,plain,
$false,
inference(avatar_sat_refutation,[],[s80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC169-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 28 08:10:51 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.39 Running first-order theorem proving
% 0.09/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.50/2.07 % (3390976)Input is clausal, will run a generic CNF schedule.
% 8.50/2.07 % (3390986)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4232523617:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.50/2.07 % (3390981)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=3234285746:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.50/2.07 % (3390983)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2305890913:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.50/2.07 % (3390984)lrs+10_1_sil=8000:sp=occurrence:random_seed=3362519852:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.50/2.07 % (3390982)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1965690529:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.50/2.07 % (3390985)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=926521219:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.50/2.07 % (3390987)dis-21_1_sil=8000:lcm=predicate:random_seed=3394775093: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)
% 8.50/2.07 % (3390986)Instruction limit reached!
% 8.50/2.07 % (3390986)------------------------------
% 8.50/2.07 % (3390986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.50/2.07 % (3390986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/2.07 % (3390986)CaDiCaL version: 2.1.3
% 8.50/2.07 % (3390986)Termination reason: Instruction limit
% 8.50/2.07 % (3390986)Termination phase: Saturation
% 8.50/2.07 % (3390986)Time elapsed: 0.068 s
% 8.50/2.07 % (3390986)Peak memory usage: 90 MB
% 8.50/2.07 % (3390986)Instructions burned: 181 (million)
% 8.50/2.07 % (3390984)Instruction limit reached!
% 8.50/2.07 % (3390984)------------------------------
% 8.50/2.07 % (3390984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.50/2.07 % (3390984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/2.07 % (3390984)CaDiCaL version: 2.1.3
% 8.50/2.07 % (3390984)Termination reason: Instruction limit
% 8.50/2.07 % (3390984)Termination phase: Saturation
% 8.50/2.07 % (3390984)Time elapsed: 0.067 s
% 8.50/2.07 % (3390984)Peak memory usage: 90 MB
% 8.50/2.07 % (3390984)Instructions burned: 109 (million)
% 8.50/2.07 % (3390985)Instruction limit reached!
% 8.50/2.07 % (3390985)------------------------------
% 8.50/2.07 % (3390985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.50/2.07 % (3390985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/2.07 % (3390985)CaDiCaL version: 2.1.3
% 8.50/2.07 % (3390985)Termination reason: Instruction limit
% 8.50/2.07 % (3390985)Termination phase: Saturation
% 8.50/2.07 % (3390985)Time elapsed: 0.071 s
% 8.50/2.07 % (3390985)Peak memory usage: 89 MB
% 8.50/2.07 % (3390985)Instructions burned: 115 (million)
% 8.50/2.07 % (3390987)Instruction limit reached!
% 8.50/2.07 % (3390987)------------------------------
% 8.50/2.07 % (3390987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.50/2.07 % (3390987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/2.07 % (3390987)CaDiCaL version: 2.1.3
% 8.50/2.07 % (3390987)Termination reason: Instruction limit
% 8.50/2.07 % (3390987)Termination phase: Saturation
% 8.50/2.07 % (3390987)Time elapsed: 0.067 s
% 8.50/2.07 % (3390987)Peak memory usage: 90 MB
% 8.50/2.07 % (3390987)Instructions burned: 117 (million)
% 8.50/2.07 % (3390995)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=4195137737:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 8.50/2.07 % (3390995)Instruction limit reached!
% 8.50/2.07 % (3390995)------------------------------
% 8.50/2.07 % (3390995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.50/2.07 % (3390995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/2.07 % (3390995)CaDiCaL version: 2.1.3
% 8.50/2.07 % (3390995)Termination reason: Instruction limit
% 8.50/2.07 % (3390995)Termination phase: Saturation
% 8.50/2.07 % (3390995)Time elapsed: 0.053 s
% 8.50/2.07 % (3390995)Peak memory usage: 90 MB
% 8.50/2.07 % (3390995)Instructions burned: 144 (million)
% 8.50/2.07 % (3390996)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3619944776: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)
% 8.50/2.07 % (3390997)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2286493892:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.50/2.07 % (3390998)lrs+10_64_to=lpo:sil=8000:random_seed=97427943:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 8.50/2.07 % (3391000)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1247793091:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 8.50/2.07 % (3390998)Instruction limit reached!
% 8.50/2.07 % (3390998)------------------------------
% 8.50/2.07 % (3390998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.50/2.07 % (3390998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/2.07 % (3390998)CaDiCaL version: 2.1.3
% 8.50/2.07 % (3390998)Termination reason: Instruction limit
% 8.50/2.07 % (3390998)Termination phase: Saturation
% 8.50/2.07 % (3390998)Time elapsed: 0.068 s
% 8.50/2.07 % (3390998)Peak memory usage: 90 MB
% 8.50/2.07 % (3390998)Instructions burned: 128 (million)
% 8.50/2.07 % (3390996)Instruction limit reached!
% 8.50/2.07 % (3390996)------------------------------
% 8.50/2.07 % (3390996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.50/2.07 % (3390996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/2.07 % (3390996)CaDiCaL version: 2.1.3
% 8.50/2.07 % (3390996)Termination reason: Instruction limit
% 8.50/2.07 % (3390996)Termination phase: Saturation
% 8.50/2.07 % (3390996)Time elapsed: 0.100 s
% 8.50/2.07 % (3390996)Peak memory usage: 91 MB
% 8.50/2.07 % (3390996)Instructions burned: 190 (million)
% 8.50/2.07 % (3390997)Instruction limit reached!
% 8.50/2.07 % (3390997)------------------------------
% 8.50/2.07 % (3390997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.50/2.07 % (3390997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/2.07 % (3390997)CaDiCaL version: 2.1.3
% 8.50/2.07 % (3390997)Termination reason: Instruction limit
% 8.50/2.07 % (3390997)Termination phase: Saturation
% 8.50/2.07 % (3390997)Time elapsed: 0.137 s
% 8.50/2.07 % (3390997)Peak memory usage: 91 MB
% 8.50/2.07 % (3390997)Instructions burned: 219 (million)
% 8.50/2.07 % (3391000)Instruction limit reached!
% 8.50/2.07 % (3391000)------------------------------
% 8.50/2.07 % (3391000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.50/2.07 % (3391000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/2.07 % (3391000)CaDiCaL version: 2.1.3
% 8.50/2.07 % (3391000)Termination reason: Instruction limit
% 8.50/2.07 % (3391000)Termination phase: Saturation
% 8.50/2.07 % (3391000)Time elapsed: 0.066 s
% 8.50/2.07 % (3391000)Peak memory usage: 90 MB
% 8.50/2.07 % (3391000)Instructions burned: 195 (million)
% 8.50/2.07 % (3391006)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1064014110:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 8.50/2.07 % (3391005)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3692333441:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 8.50/2.07 % (3391008)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2456032953:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 8.50/2.07 % (3391007)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=1992281450:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 8.50/2.07 % (3391008)Instruction limit reached!
% 8.50/2.07 % (3391008)------------------------------
% 8.50/2.07 % (3391008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.50/2.07 % (3391008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/2.07 % (3391008)CaDiCaL version: 2.1.3
% 8.50/2.07 % (3391008)Termination reason: Instruction limit
% 8.50/2.07 % (3391008)Termination phase: Saturation
% 8.50/2.07 % (3391008)Time elapsed: 0.035 s
% 8.50/2.07 % (3391008)Peak memory usage: 90 MB
% 8.50/2.07 % (3391008)Instructions burned: 107 (million)
% 8.50/2.07 % (3391005)Instruction limit reached!
% 8.50/2.07 % (3391005)------------------------------
% 8.50/2.07 % (3391005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.50/2.07 % (3391005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/2.07 % (3391005)CaDiCaL version: 2.1.3
% 8.50/2.07 % (3391005)Termination reason: Instruction limit
% 8.50/2.07 % (3391005)Termination phase: Saturation
% 8.50/2.07 % (3391005)Time elapsed: 0.092 s
% 8.50/2.07 % (3391005)Peak memory usage: 91 MB
% 8.50/2.07 % (3391005)Instructions burned: 157 (million)
% 8.50/2.07 % (3391007)Instruction limit reached!
% 8.50/2.07 % (3391007)------------------------------
% 8.50/2.07 % (3391007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.50/2.07 % (3391007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/2.07 % (3391007)CaDiCaL version: 2.1.3
% 8.50/2.07 % (3391007)Termination reason: Instruction limit
% 8.50/2.07 % (3391007)Termination phase: Saturation
% 8.50/2.07 % (3391007)Time elapsed: 0.056 s
% 8.50/2.07 % (3391007)Peak memory usage: 90 MB
% 8.50/2.07 % (3391007)Instructions burned: 107 (million)
% 8.50/2.07 % (3391013)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1187266848:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 8.50/2.08 % (3391014)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=971479373:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 8.50/2.08 % (3391015)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=666779085:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 8.50/2.08 % (3391013)Instruction limit reached!
% 8.50/2.08 % (3391013)------------------------------
% 8.50/2.08 % (3391013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.50/2.08 % (3391013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/2.08 % (3391013)CaDiCaL version: 2.1.3
% 8.50/2.08 % (3391013)Termination reason: Instruction limit
% 8.50/2.08 % (3391013)Termination phase: Saturation
% 8.50/2.08 % (3391013)Time elapsed: 0.085 s
% 8.50/2.08 % (3391013)Peak memory usage: 89 MB
% 8.50/2.08 % (3391013)Instructions burned: 244 (million)
% 8.50/2.08 % (3390981)First to succeed.
% 8.50/2.08 % (3390981)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3390976"
% 8.50/2.08 % (3391015)Instruction limit reached!
% 8.50/2.08 % (3391015)------------------------------
% 8.50/2.08 % (3391015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.50/2.08 % (3391015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/2.08 % (3391015)CaDiCaL version: 2.1.3
% 8.50/2.08 % (3391015)Termination reason: Instruction limit
% 8.50/2.08 % (3391015)Termination phase: Saturation
% 8.50/2.08 % (3391015)Time elapsed: 0.093 s
% 8.50/2.08 % (3391015)Peak memory usage: 90 MB
% 8.50/2.08 % (3391015)Instructions burned: 135 (million)
% 8.50/2.08 % (3391019)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1168647983:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 8.50/2.08 % (3391020)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3846596148:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 8.50/2.08 % (3391019)Instruction limit reached!
% 8.50/2.08 % (3391019)------------------------------
% 8.50/2.08 % (3391019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.50/2.08 % (3391019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.50/2.08 % (3391019)CaDiCaL version: 2.1.3
% 8.50/2.08 % (3391019)Termination reason: Instruction limit
% 8.50/2.08 % (3391019)Termination phase: Saturation
% 8.50/2.08 % (3391019)Time elapsed: 0.141 s
% 8.50/2.08 % (3391019)Peak memory usage: 97 MB
% 8.50/2.08 % (3391019)Instructions burned: 501 (million)
% 8.50/2.08 % (3390981)Refutation found. Thanks to Tanya!
% 8.50/2.08 % SZS status Unsatisfiable for theBenchmark
% 8.50/2.08 % SZS output start Proof for theBenchmark
% See solution above
% 9.17/2.17 % (3390981)------------------------------
% 9.17/2.17 % (3390981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.17 % (3390981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.17 % (3390981)CaDiCaL version: 2.1.3
% 9.17/2.17 % (3390981)Termination reason: Refutation
% 9.17/2.17 % (3390981)Time elapsed: 0.804 s
% 9.17/2.17 % (3390981)Peak memory usage: 131 MB
% 9.17/2.17 % (3390981)Instructions burned: 1213 (million)
% 9.17/2.17 % (3390981)------------------------------
% 9.17/2.17 % (3390981)------------------------------
% 9.17/2.17 % (3390976)Success in time 1.236 s
% 9.17/2.17 % Vampire exiting
%------------------------------------------------------------------------------