%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC183-1 : 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 : n001.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 01:02:50 PM UTC 2026
% Result : Unsatisfiable 4.20s 1.56s
% Output : Refutation 5.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 43
% Syntax : Number of formulae : 224 ( 33 unt; 21 def)
% Number of atoms : 685 ( 92 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 861 ( 400 ~; 440 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 22 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn 54 !; 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(f75,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
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] :
( tl(cons(X0,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
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] :
( tl(app(X1,X0)) = app(tl(X1),X0)
| ~ ssList(X1)
| nil = X1
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
fof(f151,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
fof(f152,axiom,
! [X2,X0,X1] :
( memberP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).
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(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
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,
ssList(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,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
sk1 = app(app(sk6,cons(sk5,nil)),sk7),
inference(reorient_equations,[],[f209]) ).
fof(f211,negated_conjecture,
( memberP(sk6,sk5)
| memberP(sk7,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f213,negated_conjecture,
( ssItem(sk8)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f218,negated_conjecture,
( cons(sk8,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f219,plain,
( sk3 = cons(sk8,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f218]) ).
fof(f224,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(f242,definition,
( spl0_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f244,plain,
( nil = sk3
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f255,definition,
( spl0_4
<=> sk3 = cons(sk8,nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f257,plain,
( sk3 = cons(sk8,nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f219,f255,f242]) ).
fof(f267,definition,
( spl0_6
<=> ssItem(sk8) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f269,plain,
( ssItem(sk8)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f270,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f213,f267,f242]) ).
fof(f273,definition,
( spl0_7
<=> memberP(sk7,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f274,plain,
( ~ memberP(sk7,sk5)
| spl0_7 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f275,plain,
( memberP(sk7,sk5)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f277,definition,
( spl0_8
<=> memberP(sk6,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f279,plain,
( memberP(sk6,sk5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f280,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f211,f277,f273]) ).
fof(f283,plain,
( ssList(cons(sk8,nil))
| ~ spl0_4 ),
inference(superposition,[],[f202,f257]) ).
fof(f287,plain,
( nil != sk1
| ~ ssList(sk7)
| ~ ssList(app(sk6,cons(sk5,nil)))
| nil = app(sk6,cons(sk5,nil)) ),
inference(superposition,[],[f122,f210]) ).
fof(f290,plain,
( app(tl(app(sk6,cons(sk5,nil))),sk7) = tl(sk1)
| ~ ssList(app(sk6,cons(sk5,nil)))
| nil = app(sk6,cons(sk5,nil))
| ~ ssList(sk7) ),
inference(superposition,[],[f144,f210]) ).
fof(f292,plain,
! [X0] :
( memberP(sk1,X0)
| ~ ssList(sk7)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssItem(X0)
| ~ memberP(app(sk6,cons(sk5,nil)),X0) ),
inference(superposition,[],[f151,f210]) ).
fof(f293,plain,
! [X0] :
( memberP(sk1,X0)
| ~ ssList(sk7)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(superposition,[],[f152,f210]) ).
fof(f308,plain,
! [X0] :
( memberP(sk1,X0)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[],[f293,f208]) ).
fof(f309,plain,
! [X0] :
( memberP(sk1,X0)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssItem(X0)
| ~ memberP(app(sk6,cons(sk5,nil)),X0) ),
inference(forward_subsumption_resolution,[],[f292,f208]) ).
fof(f311,plain,
( app(tl(app(sk6,cons(sk5,nil))),sk7) = tl(sk1)
| ~ ssList(app(sk6,cons(sk5,nil)))
| nil = app(sk6,cons(sk5,nil)) ),
inference(forward_subsumption_resolution,[],[f290,f208]) ).
fof(f314,plain,
( nil != sk1
| ~ ssList(app(sk6,cons(sk5,nil)))
| nil = app(sk6,cons(sk5,nil)) ),
inference(forward_subsumption_resolution,[],[f287,f208]) ).
fof(f325,plain,
! [X0] :
( memberP(sk3,X0)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_demodulation,[],[f308,f205]) ).
fof(f326,plain,
! [X0] :
( memberP(sk3,X0)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssItem(X0)
| ~ memberP(app(sk6,cons(sk5,nil)),X0) ),
inference(forward_demodulation,[],[f309,f205]) ).
fof(f328,plain,
( app(tl(app(sk6,cons(sk5,nil))),sk7) = tl(sk3)
| ~ ssList(app(sk6,cons(sk5,nil)))
| nil = app(sk6,cons(sk5,nil)) ),
inference(forward_demodulation,[],[f311,f205]) ).
fof(f331,plain,
( nil != sk3
| ~ ssList(app(sk6,cons(sk5,nil)))
| nil = app(sk6,cons(sk5,nil)) ),
inference(forward_demodulation,[],[f314,f205]) ).
fof(f342,plain,
( ! [X0] :
( memberP(cons(sk8,nil),X0)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssItem(X0)
| ~ memberP(sk7,X0) )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f325,f257]) ).
fof(f343,plain,
( ! [X0] :
( memberP(cons(sk8,nil),X0)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssItem(X0)
| ~ memberP(app(sk6,cons(sk5,nil)),X0) )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f326,f257]) ).
fof(f345,plain,
( app(tl(app(sk6,cons(sk5,nil))),sk7) = tl(cons(sk8,nil))
| ~ ssList(app(sk6,cons(sk5,nil)))
| nil = app(sk6,cons(sk5,nil))
| ~ spl0_4 ),
inference(forward_demodulation,[],[f328,f257]) ).
fof(f353,definition,
( spl0_9
<=> ssList(app(sk6,cons(sk5,nil))) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f354,plain,
( ssList(app(sk6,cons(sk5,nil)))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f355,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| spl0_9 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f375,definition,
( spl0_14
<=> ! [X0] :
( memberP(cons(sk8,nil),X0)
| ~ memberP(sk7,X0)
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f376,plain,
( ! [X0] :
( memberP(cons(sk8,nil),X0)
| ~ memberP(sk7,X0)
| ~ ssItem(X0) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f377,plain,
( ~ spl0_9
| spl0_14
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f342,f255,f375,f353]) ).
fof(f379,definition,
( spl0_15
<=> ! [X0] :
( memberP(cons(sk8,nil),X0)
| ~ memberP(app(sk6,cons(sk5,nil)),X0)
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f380,plain,
( ! [X0] :
( ~ memberP(app(sk6,cons(sk5,nil)),X0)
| memberP(cons(sk8,nil),X0)
| ~ ssItem(X0) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f381,plain,
( ~ spl0_9
| spl0_15
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f343,f255,f379,f353]) ).
fof(f387,definition,
( spl0_17
<=> nil = app(sk6,cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f388,plain,
( nil != app(sk6,cons(sk5,nil))
| spl0_17 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f389,plain,
( nil = app(sk6,cons(sk5,nil))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f391,definition,
( spl0_18
<=> app(tl(app(sk6,cons(sk5,nil))),sk7) = tl(cons(sk8,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f393,plain,
( app(tl(app(sk6,cons(sk5,nil))),sk7) = tl(cons(sk8,nil))
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f394,plain,
( spl0_17
| ~ spl0_9
| spl0_18
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f345,f255,f391,f353,f387]) ).
fof(f401,definition,
( spl0_20
<=> nil = sk7 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f403,plain,
( nil = sk7
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f414,definition,
( spl0_22
<=> ssList(cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f415,plain,
( ssList(cons(sk5,nil))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f416,plain,
( ~ ssList(cons(sk5,nil))
| spl0_22 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f429,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_22 ),
inference(resolution,[],[f416,f86]) ).
fof(f430,plain,
( ~ ssItem(sk5)
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f429,f8]) ).
fof(f431,plain,
( $false
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f430,f206]) ).
fof(f432,plain,
spl0_22,
inference(avatar_contradiction_clause,[],[f431]) ).
fof(f433,plain,
( ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| spl0_9 ),
inference(resolution,[],[f355,f85]) ).
fof(f434,plain,
( ~ ssList(cons(sk5,nil))
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f433,f207]) ).
fof(f435,plain,
( $false
| spl0_9
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f434,f415]) ).
fof(f436,plain,
( spl0_9
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f435]) ).
fof(f446,plain,
( memberP(nil,sk5)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ spl0_17 ),
inference(superposition,[],[f224,f389]) ).
fof(f464,plain,
( memberP(nil,sk5)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f446]) ).
fof(f478,plain,
( ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f464,f71]) ).
fof(f498,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f478,f207]) ).
fof(f509,definition,
( spl0_25
<=> nil = sk6 ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f510,plain,
( nil != sk6
| spl0_25 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f511,plain,
( nil = sk6
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f523,plain,
( ~ ssList(nil)
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f498,f206]) ).
fof(f530,plain,
( $false
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f523,f8]) ).
fof(f531,plain,
~ spl0_17,
inference(avatar_contradiction_clause,[],[f530]) ).
fof(f544,plain,
( ! [X0] :
( ~ memberP(sk7,X0)
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssItem(sk8)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk8 = X0 )
| ~ spl0_14 ),
inference(resolution,[],[f376,f174]) ).
fof(f545,plain,
( ! [X0] :
( ~ memberP(sk7,X0)
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssItem(sk8)
| memberP(nil,X0)
| sk8 = X0 )
| ~ spl0_14 ),
inference(duplicate_literal_removal,[],[f544]) ).
fof(f546,plain,
( ! [X0] :
( ~ memberP(sk7,X0)
| ~ ssItem(X0)
| ~ ssItem(sk8)
| memberP(nil,X0)
| sk8 = X0 )
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f545,f8]) ).
fof(f547,plain,
( ! [X0] :
( ~ memberP(sk7,X0)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk8 = X0 )
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f546,f269]) ).
fof(f548,plain,
( ! [X0] :
( ~ memberP(sk7,X0)
| ~ ssItem(X0)
| sk8 = X0 )
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f547,f71]) ).
fof(f549,plain,
( ~ ssItem(sk5)
| sk5 = sk8
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14 ),
inference(resolution,[],[f548,f275]) ).
fof(f550,plain,
( sk5 = sk8
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f549,f206]) ).
fof(f735,plain,
( memberP(sk7,sk8)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14 ),
inference(superposition,[],[f275,f550]) ).
fof(f753,plain,
( nil != tl(cons(sk8,nil))
| ~ ssList(sk7)
| ~ ssList(tl(app(sk6,cons(sk5,nil))))
| nil = tl(app(sk6,cons(sk5,nil)))
| ~ spl0_18 ),
inference(superposition,[],[f122,f393]) ).
fof(f754,plain,
( nil != tl(cons(sk8,nil))
| ~ ssList(sk7)
| ~ ssList(tl(app(sk6,cons(sk5,nil))))
| nil = sk7
| ~ spl0_18 ),
inference(superposition,[],[f124,f393]) ).
fof(f779,plain,
( nil != tl(cons(sk8,nil))
| ~ ssList(tl(app(sk6,cons(sk5,nil))))
| nil = sk7
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f754,f208]) ).
fof(f780,plain,
( nil != tl(cons(sk8,nil))
| ~ ssList(tl(app(sk6,cons(sk5,nil))))
| nil = tl(app(sk6,cons(sk5,nil)))
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f753,f208]) ).
fof(f834,definition,
( spl0_45
<=> nil = tl(cons(sk8,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f836,plain,
( nil != tl(cons(sk8,nil))
| spl0_45 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f907,plain,
( memberP(cons(sk8,nil),sk5)
| ~ ssItem(sk5)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_15 ),
inference(resolution,[],[f380,f224]) ).
fof(f914,plain,
( memberP(cons(sk8,nil),sk5)
| ~ ssItem(sk5)
| ~ ssList(sk6)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_15 ),
inference(duplicate_literal_removal,[],[f907]) ).
fof(f919,plain,
( memberP(cons(sk8,nil),sk5)
| ~ ssList(sk6)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f914,f206]) ).
fof(f922,plain,
( memberP(cons(sk8,nil),sk5)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f919,f207]) ).
fof(f925,plain,
( memberP(cons(sk8,nil),sk5)
| ~ ssList(nil)
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f922,f354]) ).
fof(f926,plain,
( memberP(cons(sk8,nil),sk5)
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f925,f8]) ).
fof(f971,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| nil = app(sk6,cons(sk5,nil))
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f331,f244]) ).
fof(f991,plain,
( nil = app(sk6,cons(sk5,nil))
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f971,f354]) ).
fof(f1007,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f991,f388]) ).
fof(f1008,plain,
( ~ spl0_1
| ~ spl0_9
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1007]) ).
fof(f1107,definition,
( spl0_65
<=> nil = tl(app(sk6,cons(sk8,nil))) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f1109,plain,
( nil = tl(app(sk6,cons(sk8,nil)))
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f1107]) ).
fof(f1484,definition,
( spl0_86
<=> ssList(tl(app(sk6,cons(sk5,nil)))) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
fof(f1486,plain,
( ~ ssList(tl(app(sk6,cons(sk5,nil))))
| spl0_86 ),
inference(avatar_component_clause,[],[f1484]) ).
fof(f1515,definition,
( spl0_93
<=> nil = tl(app(sk6,cons(sk5,nil))) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
fof(f1517,plain,
( nil = tl(app(sk6,cons(sk5,nil)))
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f1515]) ).
fof(f1528,plain,
( spl0_20
| ~ spl0_86
| ~ spl0_45
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f779,f391,f834,f1484,f401]) ).
fof(f1529,plain,
( spl0_93
| ~ spl0_86
| ~ spl0_45
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f780,f391,f834,f1484,f1515]) ).
fof(f1534,definition,
( spl0_96
<=> ssList(cons(sk8,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
fof(f1536,plain,
( ssList(cons(sk8,nil))
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f1534]) ).
fof(f1538,plain,
( spl0_96
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f283,f255,f1534]) ).
fof(f1577,plain,
( ~ ssList(nil)
| ~ ssItem(sk8)
| ~ ssItem(sk5)
| memberP(nil,sk5)
| sk5 = sk8
| ~ spl0_9
| ~ spl0_15 ),
inference(resolution,[],[f926,f174]) ).
fof(f1578,plain,
( ~ ssItem(sk8)
| ~ ssItem(sk5)
| memberP(nil,sk5)
| sk5 = sk8
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1577,f8]) ).
fof(f1579,plain,
( ~ ssItem(sk5)
| memberP(nil,sk5)
| sk5 = sk8
| ~ spl0_6
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1578,f269]) ).
fof(f1580,plain,
( memberP(nil,sk5)
| sk5 = sk8
| ~ spl0_6
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1579,f206]) ).
fof(f1582,definition,
( spl0_101
<=> sk5 = sk8 ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
fof(f1584,plain,
( sk5 = sk8
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f1582]) ).
fof(f1586,definition,
( spl0_102
<=> memberP(nil,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
fof(f1589,plain,
( spl0_101
| spl0_102
| ~ spl0_6
| ~ spl0_9
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f1580,f379,f353,f267,f1586,f1582]) ).
fof(f1592,plain,
( ~ memberP(sk7,sk8)
| spl0_7
| ~ spl0_101 ),
inference(superposition,[],[f274,f1584]) ).
fof(f1707,plain,
( memberP(nil,sk5)
| ~ spl0_8
| ~ spl0_25 ),
inference(superposition,[],[f279,f511]) ).
fof(f1824,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| nil = app(sk6,cons(sk5,nil))
| spl0_86 ),
inference(resolution,[],[f1486,f75]) ).
fof(f1834,plain,
( nil = app(sk6,cons(sk5,nil))
| ~ spl0_9
| spl0_86 ),
inference(forward_subsumption_resolution,[],[f1824,f354]) ).
fof(f1842,plain,
( $false
| ~ spl0_9
| spl0_17
| spl0_86 ),
inference(forward_subsumption_resolution,[],[f1834,f388]) ).
fof(f1843,plain,
( ~ spl0_9
| spl0_17
| spl0_86 ),
inference(avatar_contradiction_clause,[],[f1842]) ).
fof(f1855,plain,
( nil = tl(app(sk6,cons(sk8,nil)))
| ~ spl0_93
| ~ spl0_101 ),
inference(forward_demodulation,[],[f1517,f1584]) ).
fof(f1879,plain,
( nil != nil
| ~ ssList(nil)
| ~ ssItem(sk8)
| spl0_45 ),
inference(superposition,[],[f836,f96]) ).
fof(f1880,plain,
( ~ ssList(nil)
| ~ ssItem(sk8)
| spl0_45 ),
inference(trivial_inequality_removal,[],[f1879]) ).
fof(f1881,plain,
( ~ ssItem(sk8)
| spl0_45 ),
inference(forward_subsumption_resolution,[],[f1880,f8]) ).
fof(f1882,plain,
( $false
| ~ spl0_6
| spl0_45 ),
inference(forward_subsumption_resolution,[],[f1881,f269]) ).
fof(f1883,plain,
( ~ spl0_6
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f1882]) ).
fof(f1886,plain,
( ~ memberP(nil,sk5)
| spl0_7
| ~ spl0_20 ),
inference(superposition,[],[f274,f403]) ).
fof(f1894,plain,
( ~ memberP(nil,sk8)
| spl0_7
| ~ spl0_20
| ~ spl0_101 ),
inference(superposition,[],[f1592,f403]) ).
fof(f2002,plain,
( spl0_65
| ~ spl0_93
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f1855,f1582,f1515,f1107]) ).
fof(f2030,plain,
( nil = app(tl(sk6),cons(sk8,nil))
| ~ ssList(sk6)
| nil = sk6
| ~ ssList(cons(sk8,nil))
| ~ spl0_65 ),
inference(superposition,[],[f144,f1109]) ).
fof(f2035,plain,
( nil = app(tl(sk6),cons(sk8,nil))
| nil = sk6
| ~ ssList(cons(sk8,nil))
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f2030,f207]) ).
fof(f2038,plain,
( nil = app(tl(sk6),cons(sk8,nil))
| ~ ssList(cons(sk8,nil))
| spl0_25
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f2035,f510]) ).
fof(f2041,plain,
( nil = app(tl(sk6),cons(sk8,nil))
| spl0_25
| ~ spl0_65
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[],[f2038,f1536]) ).
fof(f2282,plain,
( memberP(nil,sk8)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f735,f403]) ).
fof(f2310,plain,
( ~ spl0_102
| spl0_7
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1886,f401,f273,f1586]) ).
fof(f2665,plain,
( memberP(nil,sk8)
| ~ ssList(tl(sk6))
| ~ ssItem(sk8)
| ~ ssList(nil)
| ~ ssList(nil)
| spl0_25
| ~ spl0_65
| ~ spl0_96 ),
inference(superposition,[],[f224,f2041]) ).
fof(f2683,plain,
( memberP(nil,sk8)
| ~ ssList(tl(sk6))
| ~ ssItem(sk8)
| ~ ssList(nil)
| spl0_25
| ~ spl0_65
| ~ spl0_96 ),
inference(duplicate_literal_removal,[],[f2665]) ).
fof(f2697,plain,
( ~ ssList(tl(sk6))
| ~ ssItem(sk8)
| ~ ssList(nil)
| spl0_25
| ~ spl0_65
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[],[f2683,f71]) ).
fof(f2705,definition,
( spl0_106
<=> ssList(tl(sk6)) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
fof(f2707,plain,
( ~ ssList(tl(sk6))
| spl0_106 ),
inference(avatar_component_clause,[],[f2705]) ).
fof(f2744,plain,
( ~ ssList(tl(sk6))
| ~ ssList(nil)
| ~ spl0_6
| spl0_25
| ~ spl0_65
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[],[f2697,f269]) ).
fof(f2764,plain,
( ~ ssList(tl(sk6))
| ~ spl0_6
| spl0_25
| ~ spl0_65
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[],[f2744,f8]) ).
fof(f2785,plain,
( ~ spl0_106
| ~ spl0_6
| spl0_25
| ~ spl0_65
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f2764,f1534,f1107,f509,f267,f2705]) ).
fof(f2791,plain,
( ~ ssList(sk6)
| nil = sk6
| spl0_106 ),
inference(resolution,[],[f2707,f75]) ).
fof(f2794,plain,
( nil = sk6
| spl0_106 ),
inference(forward_subsumption_resolution,[],[f2791,f207]) ).
fof(f2797,plain,
( $false
| spl0_25
| spl0_106 ),
inference(forward_subsumption_resolution,[],[f2794,f510]) ).
fof(f2798,plain,
( spl0_25
| spl0_106 ),
inference(avatar_contradiction_clause,[],[f2797]) ).
fof(f2810,plain,
( memberP(nil,sk8)
| ~ spl0_8
| ~ spl0_25
| ~ spl0_101 ),
inference(forward_demodulation,[],[f1707,f1584]) ).
fof(f2836,plain,
( $false
| spl0_7
| ~ spl0_8
| ~ spl0_20
| ~ spl0_25
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[],[f2810,f1894]) ).
fof(f2837,plain,
( spl0_7
| ~ spl0_8
| ~ spl0_20
| ~ spl0_25
| ~ spl0_101 ),
inference(avatar_contradiction_clause,[],[f2836]) ).
fof(f3042,plain,
( ~ ssItem(sk8)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(resolution,[],[f2282,f71]) ).
fof(f3043,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f3042,f269]) ).
fof(f3044,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f3043]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f258]) ).
cnf(s7,plain,
( spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f270]) ).
cnf(s9,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f280]) ).
cnf(s16,plain,
( ~ spl0_4
| ~ spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f377]) ).
cnf(s17,plain,
( ~ spl0_4
| ~ spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f381]) ).
cnf(s19,plain,
( ~ spl0_4
| ~ spl0_9
| spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f394]) ).
cnf(s26,plain,
spl0_22,
inference(sat_conversion,[],[f432]) ).
cnf(s27,plain,
( spl0_9
| ~ spl0_22 ),
inference(sat_conversion,[],[f436]) ).
cnf(s31,plain,
~ spl0_17,
inference(sat_conversion,[],[f531]) ).
cnf(s65,plain,
( ~ spl0_1
| ~ spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f1008]) ).
cnf(s117,plain,
( ~ spl0_18
| spl0_20
| ~ spl0_45
| ~ spl0_86 ),
inference(sat_conversion,[],[f1528]) ).
cnf(s118,plain,
( ~ spl0_18
| ~ spl0_45
| ~ spl0_86
| spl0_93 ),
inference(sat_conversion,[],[f1529]) ).
cnf(s120,plain,
( ~ spl0_4
| spl0_96 ),
inference(sat_conversion,[],[f1538]) ).
cnf(s131,plain,
( ~ spl0_6
| ~ spl0_9
| ~ spl0_15
| spl0_101
| spl0_102 ),
inference(sat_conversion,[],[f1589]) ).
cnf(s149,plain,
( ~ spl0_9
| spl0_17
| spl0_86 ),
inference(sat_conversion,[],[f1843]) ).
cnf(s152,plain,
( ~ spl0_6
| spl0_45 ),
inference(sat_conversion,[],[f1883]) ).
cnf(s156,plain,
( spl0_65
| ~ spl0_93
| ~ spl0_101 ),
inference(sat_conversion,[],[f2002]) ).
cnf(s173,plain,
( spl0_7
| ~ spl0_20
| ~ spl0_102 ),
inference(sat_conversion,[],[f2310]) ).
cnf(s195,plain,
( ~ spl0_6
| spl0_25
| ~ spl0_65
| ~ spl0_96
| ~ spl0_106 ),
inference(sat_conversion,[],[f2785]) ).
cnf(s197,plain,
( spl0_25
| spl0_106 ),
inference(sat_conversion,[],[f2798]) ).
cnf(s199,plain,
( spl0_7
| ~ spl0_8
| ~ spl0_20
| ~ spl0_25
| ~ spl0_101 ),
inference(sat_conversion,[],[f2837]) ).
cnf(s201,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(sat_conversion,[],[f3044]) ).
cnf(s211,plain,
spl0_9,
inference(rat,[],[s27,s26]) ).
cnf(s212,plain,
spl0_86,
inference(rat,[],[s149,s31,s211]) ).
cnf(s213,plain,
~ spl0_1,
inference(rat,[],[s65,s31,s211]) ).
cnf(s220,plain,
( ~ spl0_4
| spl0_18 ),
inference(rat,[],[s19,s31,s211]) ).
cnf(s222,plain,
( ~ spl0_4
| spl0_15 ),
inference(rat,[],[s17,s211]) ).
cnf(s223,plain,
( ~ spl0_4
| spl0_14 ),
inference(rat,[],[s16,s211]) ).
cnf(s230,plain,
spl0_6,
inference(rat,[],[s7,s213]) ).
cnf(s231,plain,
spl0_45,
inference(rat,[],[s152,s230]) ).
cnf(s234,plain,
spl0_4,
inference(rat,[],[s3,s213]) ).
cnf(s235,plain,
spl0_96,
inference(rat,[],[s120,s234]) ).
cnf(s240,plain,
spl0_18,
inference(rat,[],[s220,s234]) ).
cnf(s242,plain,
spl0_15,
inference(rat,[],[s222,s234]) ).
cnf(s243,plain,
spl0_14,
inference(rat,[],[s223,s234]) ).
cnf(s255,plain,
spl0_93,
inference(rat,[],[s118,s231,s212,s240]) ).
cnf(s256,plain,
spl0_20,
inference(rat,[],[s117,s212,s231,s240]) ).
cnf(s265,plain,
~ spl0_7,
inference(rat,[],[s201,s256,s230,s243]) ).
cnf(s266,plain,
~ spl0_102,
inference(rat,[],[s173,s256,s265]) ).
cnf(s267,plain,
spl0_8,
inference(rat,[],[s9,s265]) ).
cnf(s268,plain,
spl0_101,
inference(rat,[],[s131,s242,s230,s211,s266]) ).
cnf(s269,plain,
~ spl0_25,
inference(rat,[],[s199,s268,s265,s256,s267]) ).
cnf(s271,plain,
spl0_65,
inference(rat,[],[s156,s255,s268]) ).
cnf(s272,plain,
spl0_106,
inference(rat,[],[s197,s269]) ).
cnf(s273,plain,
$false,
inference(rat,[],[s195,s272,s235,s230,s271,s269]) ).
fof(f3045,plain,
$false,
inference(avatar_sat_refutation,[],[s273]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC183-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 08:26:56 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 4.20/1.56 % (209872)Input is clausal, will run a generic CNF schedule.
% 4.20/1.56 % (209883)dis-21_1_sil=8000:lcm=predicate:random_seed=2621192314: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)
% 4.20/1.56 % (209883)Instruction limit reached!
% 4.20/1.56 % (209883)------------------------------
% 4.20/1.56 % (209883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.56 % (209883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.56 % (209883)CaDiCaL version: 2.1.3
% 4.20/1.56 % (209883)Termination reason: Instruction limit
% 4.20/1.56 % (209883)Termination phase: Saturation
% 4.20/1.56 % (209883)Time elapsed: 0.029 s
% 4.20/1.56 % (209883)Peak memory usage: 89 MB
% 4.20/1.56 % (209883)Instructions burned: 119 (million)
% 4.20/1.56 % (209878)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3238295170:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.20/1.56 % (209880)lrs+10_1_sil=8000:sp=occurrence:random_seed=2838589299:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.20/1.56 % (209877)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=1049284381:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.20/1.56 % (209879)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3992122166:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.20/1.56 % (209881)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2446483889:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.20/1.56 % (209882)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=23830268:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.20/1.56 % (209880)Instruction limit reached!
% 4.20/1.56 % (209880)------------------------------
% 4.20/1.56 % (209880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.56 % (209880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.56 % (209880)CaDiCaL version: 2.1.3
% 4.20/1.56 % (209880)Termination reason: Instruction limit
% 4.20/1.56 % (209880)Termination phase: Saturation
% 4.20/1.56 % (209880)Time elapsed: 0.065 s
% 4.20/1.56 % (209880)Peak memory usage: 90 MB
% 4.20/1.56 % (209880)Instructions burned: 108 (million)
% 4.20/1.56 % (209881)Instruction limit reached!
% 4.20/1.56 % (209881)------------------------------
% 4.20/1.56 % (209881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.56 % (209881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.56 % (209881)CaDiCaL version: 2.1.3
% 4.20/1.56 % (209881)Termination reason: Instruction limit
% 4.20/1.56 % (209881)Termination phase: Saturation
% 4.20/1.56 % (209881)Time elapsed: 0.069 s
% 4.20/1.56 % (209881)Peak memory usage: 89 MB
% 4.20/1.56 % (209881)Instructions burned: 115 (million)
% 4.20/1.56 % (209885)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=3931951021:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 4.20/1.56 % (209882)Instruction limit reached!
% 4.20/1.56 % (209882)------------------------------
% 4.20/1.56 % (209882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.56 % (209882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.56 % (209882)CaDiCaL version: 2.1.3
% 4.20/1.56 % (209882)Termination reason: Instruction limit
% 4.20/1.56 % (209882)Termination phase: Saturation
% 4.20/1.56 % (209882)Time elapsed: 0.125 s
% 4.20/1.56 % (209882)Peak memory usage: 90 MB
% 4.20/1.56 % (209882)Instructions burned: 181 (million)
% 4.20/1.56 % (209885)Instruction limit reached!
% 4.20/1.56 % (209885)------------------------------
% 4.20/1.56 % (209885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.56 % (209885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.56 % (209885)CaDiCaL version: 2.1.3
% 4.20/1.56 % (209885)Termination reason: Instruction limit
% 4.20/1.56 % (209885)Termination phase: Saturation
% 4.20/1.56 % (209885)Time elapsed: 0.052 s
% 4.20/1.56 % (209885)Peak memory usage: 90 MB
% 4.20/1.56 % (209885)Instructions burned: 143 (million)
% 4.20/1.56 % (209893)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=512466071:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.20/1.56 % (209892)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2674026097: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)
% 4.20/1.56 % (209896)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3171459978:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 4.20/1.56 % (209893)First to succeed.
% 4.20/1.56 % (209895)lrs+10_64_to=lpo:sil=8000:random_seed=2951900733:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 4.20/1.56 % (209893)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-209872"
% 4.20/1.56 % (209892)Instruction limit reached!
% 4.20/1.56 % (209892)------------------------------
% 4.20/1.56 % (209892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.56 % (209892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.56 % (209892)CaDiCaL version: 2.1.3
% 4.20/1.56 % (209892)Termination reason: Instruction limit
% 4.20/1.56 % (209892)Termination phase: Saturation
% 4.20/1.56 % (209892)Time elapsed: 0.101 s
% 4.20/1.56 % (209892)Peak memory usage: 91 MB
% 4.20/1.56 % (209892)Instructions burned: 191 (million)
% 4.20/1.56 % (209896)Instruction limit reached!
% 4.20/1.56 % (209896)------------------------------
% 4.20/1.56 % (209896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.56 % (209896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.56 % (209896)CaDiCaL version: 2.1.3
% 4.20/1.56 % (209896)Termination reason: Instruction limit
% 4.20/1.56 % (209896)Termination phase: Saturation
% 4.20/1.56 % (209896)Time elapsed: 0.066 s
% 4.20/1.56 % (209896)Peak memory usage: 91 MB
% 4.20/1.56 % (209896)Instructions burned: 196 (million)
% 4.20/1.56 % (209895)Instruction limit reached!
% 4.20/1.56 % (209895)------------------------------
% 4.20/1.56 % (209895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.56 % (209895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.56 % (209895)CaDiCaL version: 2.1.3
% 4.20/1.56 % (209895)Termination reason: Instruction limit
% 4.20/1.56 % (209895)Termination phase: Saturation
% 4.20/1.56 % (209895)Time elapsed: 0.066 s
% 4.20/1.56 % (209895)Peak memory usage: 89 MB
% 4.20/1.56 % (209895)Instructions burned: 127 (million)
% 4.20/1.56 % (209902)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=444527369:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 4.20/1.56 % (209901)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=829276231:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 4.20/1.56 % (209903)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=1423158017:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 4.20/1.56 % (209893)Refutation found. Thanks to Tanya!
% 4.20/1.56 % SZS status Unsatisfiable for theBenchmark
% 4.20/1.56 % SZS output start Proof for theBenchmark
% See solution above
% 5.60/1.76 % (209893)------------------------------
% 5.60/1.76 % (209893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/1.76 % (209893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.76 % (209893)CaDiCaL version: 2.1.3
% 5.60/1.76 % (209893)Termination reason: Refutation
% 5.60/1.76 % (209893)Time elapsed: 0.060 s
% 5.60/1.76 % (209893)Peak memory usage: 90 MB
% 5.60/1.76 % (209893)Instructions burned: 93 (million)
% 5.60/1.76 % (209893)------------------------------
% 5.60/1.76 % (209893)------------------------------
% 5.60/1.76 % (209872)Success in time 0.715 s
% 5.60/1.76 % Vampire exiting
%------------------------------------------------------------------------------