%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC177-1 : 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 : n005.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 01:02:48 PM UTC 2026
% Result : Unsatisfiable 8.62s 2.09s
% Output : Refutation 9.18s
% 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 : SWC177-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 08:18:02 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 8.62/2.09 % (636925)Input is clausal, will run a generic CNF schedule.
% 8.62/2.09 % (636933)lrs+10_1_sil=8000:sp=occurrence:random_seed=1230498113:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.62/2.09 % (636933)Instruction limit reached!
% 8.62/2.09 % (636933)------------------------------
% 8.62/2.09 % (636933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.09 % (636933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.09 % (636933)CaDiCaL version: 2.1.3
% 8.62/2.09 % (636933)Termination reason: Instruction limit
% 8.62/2.09 % (636933)Termination phase: Saturation
% 8.62/2.09 % (636933)Time elapsed: 0.037 s
% 8.62/2.09 % (636933)Peak memory usage: 90 MB
% 8.62/2.09 % (636933)Instructions burned: 110 (million)
% 8.62/2.09 % (636931)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3139849629:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.62/2.09 % (636932)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3937883131:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.62/2.09 % (636930)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=1485965857:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.62/2.09 % (636936)dis-21_1_sil=8000:lcm=predicate:random_seed=4232729938: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)
% 8.62/2.09 % (636935)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1200811142:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.62/2.09 % (636934)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3216831406:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.62/2.09 % (636936)Instruction limit reached!
% 8.62/2.09 % (636936)------------------------------
% 8.62/2.09 % (636936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.09 % (636936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.09 % (636936)CaDiCaL version: 2.1.3
% 8.62/2.09 % (636936)Termination reason: Instruction limit
% 8.62/2.09 % (636936)Termination phase: Saturation
% 8.62/2.09 % (636936)Time elapsed: 0.066 s
% 8.62/2.09 % (636936)Peak memory usage: 90 MB
% 8.62/2.09 % (636936)Instructions burned: 118 (million)
% 8.62/2.09 % (636934)Instruction limit reached!
% 8.62/2.09 % (636934)------------------------------
% 8.62/2.09 % (636934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.09 % (636934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.09 % (636934)CaDiCaL version: 2.1.3
% 8.62/2.09 % (636934)Termination reason: Instruction limit
% 8.62/2.09 % (636934)Termination phase: Saturation
% 8.62/2.09 % (636934)Time elapsed: 0.070 s
% 8.62/2.09 % (636934)Peak memory usage: 89 MB
% 8.62/2.09 % (636934)Instructions burned: 115 (million)
% 8.62/2.09 % (636941)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=1559077268:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 8.62/2.09 % (636935)Instruction limit reached!
% 8.62/2.09 % (636935)------------------------------
% 8.62/2.09 % (636935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.09 % (636935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.09 % (636935)CaDiCaL version: 2.1.3
% 8.62/2.09 % (636935)Termination reason: Instruction limit
% 8.62/2.09 % (636935)Termination phase: Saturation
% 8.62/2.09 % (636935)Time elapsed: 0.124 s
% 8.62/2.09 % (636935)Peak memory usage: 90 MB
% 8.62/2.09 % (636935)Instructions burned: 181 (million)
% 8.62/2.09 % (636941)Instruction limit reached!
% 8.62/2.09 % (636941)------------------------------
% 8.62/2.09 % (636941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.09 % (636941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.09 % (636941)CaDiCaL version: 2.1.3
% 8.62/2.09 % (636941)Termination reason: Instruction limit
% 8.62/2.09 % (636941)Termination phase: Saturation
% 8.62/2.09 % (636941)Time elapsed: 0.054 s
% 8.62/2.09 % (636941)Peak memory usage: 90 MB
% 8.62/2.09 % (636941)Instructions burned: 147 (million)
% 8.62/2.09 % (636945)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2901222291: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)
% 8.62/2.09 % (636946)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=560116266:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.62/2.09 % (636949)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=978673562:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 8.62/2.09 % (636948)lrs+10_64_to=lpo:sil=8000:random_seed=1522577667:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 8.62/2.09 % (636945)Instruction limit reached!
% 8.62/2.09 % (636945)------------------------------
% 8.62/2.09 % (636945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.09 % (636945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.09 % (636945)CaDiCaL version: 2.1.3
% 8.62/2.09 % (636945)Termination reason: Instruction limit
% 8.62/2.09 % (636945)Termination phase: Saturation
% 8.62/2.09 % (636945)Time elapsed: 0.099 s
% 8.62/2.09 % (636945)Peak memory usage: 91 MB
% 8.62/2.09 % (636945)Instructions burned: 189 (million)
% 8.62/2.09 % (636949)Instruction limit reached!
% 8.62/2.09 % (636949)------------------------------
% 8.62/2.09 % (636949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.09 % (636949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.09 % (636949)CaDiCaL version: 2.1.3
% 8.62/2.09 % (636949)Termination reason: Instruction limit
% 8.62/2.09 % (636949)Termination phase: Saturation
% 8.62/2.09 % (636949)Time elapsed: 0.064 s
% 8.62/2.09 % (636949)Peak memory usage: 90 MB
% 8.62/2.09 % (636949)Instructions burned: 194 (million)
% 8.62/2.09 % (636948)Instruction limit reached!
% 8.62/2.09 % (636948)------------------------------
% 8.62/2.09 % (636948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.09 % (636948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.09 % (636948)CaDiCaL version: 2.1.3
% 8.62/2.09 % (636948)Termination reason: Instruction limit
% 8.62/2.09 % (636948)Termination phase: Saturation
% 8.62/2.09 % (636948)Time elapsed: 0.067 s
% 8.62/2.09 % (636948)Peak memory usage: 90 MB
% 8.62/2.09 % (636948)Instructions burned: 128 (million)
% 8.62/2.09 % (636946)Instruction limit reached!
% 8.62/2.09 % (636946)------------------------------
% 8.62/2.09 % (636946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.09 % (636946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.09 % (636946)CaDiCaL version: 2.1.3
% 8.62/2.09 % (636946)Termination reason: Instruction limit
% 8.62/2.09 % (636946)Termination phase: Saturation
% 8.62/2.09 % (636946)Time elapsed: 0.137 s
% 8.62/2.09 % (636946)Peak memory usage: 90 MB
% 8.62/2.09 % (636946)Instructions burned: 219 (million)
% 8.62/2.09 % (636955)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1666758644:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 8.62/2.09 % (636954)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=372462287:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 8.62/2.09 % (636956)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=2752004883:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 8.62/2.09 % (636957)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1755594663:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 8.62/2.09 % (636956)Instruction limit reached!
% 8.62/2.09 % (636956)------------------------------
% 8.62/2.09 % (636956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.09 % (636956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.09 % (636956)CaDiCaL version: 2.1.3
% 8.62/2.09 % (636956)Termination reason: Instruction limit
% 8.62/2.09 % (636956)Termination phase: Saturation
% 8.62/2.09 % (636956)Time elapsed: 0.057 s
% 8.62/2.09 % (636956)Peak memory usage: 90 MB
% 8.62/2.09 % (636956)Instructions burned: 108 (million)
% 8.62/2.09 % (636954)Instruction limit reached!
% 8.62/2.09 % (636954)------------------------------
% 8.62/2.09 % (636954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.09 % (636954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.09 % (636954)CaDiCaL version: 2.1.3
% 8.62/2.09 % (636954)Termination reason: Instruction limit
% 8.62/2.09 % (636954)Termination phase: Saturation
% 8.62/2.09 % (636954)Time elapsed: 0.092 s
% 8.62/2.09 % (636954)Peak memory usage: 91 MB
% 8.62/2.09 % (636954)Instructions burned: 158 (million)
% 8.62/2.09 % (636957)Instruction limit reached!
% 8.62/2.09 % (636957)------------------------------
% 8.62/2.09 % (636957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.09 % (636957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.09 % (636957)CaDiCaL version: 2.1.3
% 8.62/2.09 % (636957)Termination reason: Instruction limit
% 8.62/2.09 % (636957)Termination phase: Saturation
% 8.62/2.09 % (636957)Time elapsed: 0.064 s
% 8.62/2.09 % (636957)Peak memory usage: 90 MB
% 8.62/2.09 % (636957)Instructions burned: 107 (million)
% 8.62/2.09 % (636962)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2420945444:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 8.62/2.09 % (636963)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1205454154:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 8.62/2.09 % (636964)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1758273043:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 8.62/2.09 % (636930)First to succeed.
% 8.62/2.09 % (636930)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-636925"
% 8.62/2.09 % (636964)Instruction limit reached!
% 8.62/2.09 % (636964)------------------------------
% 8.62/2.09 % (636964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.09 % (636964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.09 % (636964)CaDiCaL version: 2.1.3
% 8.62/2.09 % (636964)Termination reason: Instruction limit
% 8.62/2.09 % (636964)Termination phase: Saturation
% 8.62/2.09 % (636964)Time elapsed: 0.090 s
% 8.62/2.09 % (636964)Peak memory usage: 90 MB
% 8.62/2.09 % (636964)Instructions burned: 135 (million)
% 8.62/2.09 % (636962)Instruction limit reached!
% 8.62/2.09 % (636962)------------------------------
% 8.62/2.09 % (636962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.09 % (636962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.09 % (636962)CaDiCaL version: 2.1.3
% 8.62/2.09 % (636962)Termination reason: Instruction limit
% 8.62/2.09 % (636962)Termination phase: Saturation
% 8.62/2.09 % (636962)Time elapsed: 0.153 s
% 8.62/2.09 % (636962)Peak memory usage: 90 MB
% 8.62/2.09 % (636962)Instructions burned: 242 (million)
% 8.62/2.09 % (636968)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3748977573:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 8.62/2.09 % (636969)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1972445258:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 8.62/2.09 % (636930)Refutation found. Thanks to Tanya!
% 8.62/2.09 % SZS status Unsatisfiable for theBenchmark
% 8.62/2.09 % SZS output start Proof for theBenchmark
% See solution above
% 9.18/2.28 % (636930)------------------------------
% 9.18/2.28 % (636930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.18/2.28 % (636930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.18/2.28 % (636930)CaDiCaL version: 2.1.3
% 9.18/2.28 % (636930)Termination reason: Refutation
% 9.18/2.28 % (636930)Time elapsed: 0.803 s
% 9.18/2.28 % (636930)Peak memory usage: 132 MB
% 9.18/2.28 % (636930)Instructions burned: 1210 (million)
% 9.18/2.28 % (636930)------------------------------
% 9.18/2.28 % (636930)------------------------------
% 9.18/2.28 % (636925)Success in time 1.222 s
% 9.18/2.28 % Vampire exiting
%------------------------------------------------------------------------------