%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC155-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:02:42 PM UTC 2026
% Result : Unsatisfiable 2.75s 1.32s
% Output : Refutation 3.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 43
% Syntax : Number of formulae : 196 ( 38 unt; 21 def)
% Number of atoms : 584 ( 33 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 752 ( 364 ~; 367 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 22 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 71 ( 0 sgn 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f126,plain,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f125]) ).
fof(f140,axiom,
! [X0,X1] :
( ~ leq(X0,X1)
| ~ leq(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f141,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| X0 = X1 ),
inference(reorient_equations,[],[f140]) ).
fof(f151,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f152,axiom,
! [X2,X0,X1] :
( memberP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
fof(f161,axiom,
! [X2,X0,X1] :
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f189,axiom,
! [X2,X3,X0,X1] :
( app(X0,cons(X1,X2)) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X3)
| memberP(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X1,cons(X0,nil)),X2) != sk3
| ~ ssItem(X3)
| leq(X0,X3)
| ~ memberP(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,plain,
! [X2,X3,X0,X1] :
( sk3 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X0)
| ~ ssItem(X3)
| leq(X0,X3)
| ~ memberP(X2,X3) ),
inference(reorient_equations,[],[f206]) ).
fof(f208,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X1,cons(X0,nil)),X2) != sk3
| ~ ssItem(X3)
| leq(X3,X0)
| ~ memberP(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f209,plain,
! [X2,X3,X0,X1] :
( sk3 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X0)
| ~ ssItem(X3)
| leq(X3,X0)
| ~ memberP(X1,X3) ),
inference(reorient_equations,[],[f208]) ).
fof(f210,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f211,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f212,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f213,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f214,negated_conjecture,
ssList(sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f215,negated_conjecture,
app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f216,plain,
sk1 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
inference(reorient_equations,[],[f215]) ).
fof(f217,negated_conjecture,
leq(sk6,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f218,negated_conjecture,
( ssItem(sk10)
| ~ leq(sk5,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f219,negated_conjecture,
( memberP(sk8,sk10)
| ~ leq(sk5,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f220,negated_conjecture,
( ~ leq(sk5,sk10)
| ~ leq(sk10,sk6)
| ~ leq(sk5,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f221,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(f228,definition,
( spl0_1
<=> leq(sk5,sk6) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f231,definition,
( spl0_2
<=> leq(sk10,sk6) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f232,plain,
( ~ leq(sk10,sk6)
| spl0_2 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f234,definition,
( spl0_3
<=> leq(sk5,sk10) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f235,plain,
( ~ leq(sk5,sk10)
| spl0_3 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f236,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f220,f234,f231,f228]) ).
fof(f238,definition,
( spl0_4
<=> memberP(sk8,sk10) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f239,plain,
( memberP(sk8,sk10)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f240,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f219,f238,f228]) ).
fof(f242,definition,
( spl0_5
<=> ssItem(sk10) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f243,plain,
( ssItem(sk10)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f244,plain,
( ~ spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f218,f242,f228]) ).
fof(f247,plain,
( ~ leq(sk5,sk6)
| ~ ssItem(sk5)
| ~ ssItem(sk6)
| sk5 = sk6 ),
inference(resolution,[],[f217,f141]) ).
fof(f250,plain,
( ~ leq(sk5,sk6)
| ~ ssItem(sk6)
| sk5 = sk6 ),
inference(forward_subsumption_resolution,[],[f247,f210]) ).
fof(f252,plain,
( ~ leq(sk5,sk6)
| sk5 = sk6 ),
inference(forward_subsumption_resolution,[],[f250,f211]) ).
fof(f254,definition,
( spl0_6
<=> sk5 = sk6 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f255,plain,
( sk5 = sk6
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f256,plain,
( spl0_6
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f252,f228,f254]) ).
fof(f257,plain,
sk3 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
inference(forward_demodulation,[],[f216,f205]) ).
fof(f262,plain,
( sk3 = app(app(app(sk7,cons(sk5,nil)),sk8),app(cons(sk6,nil),sk9))
| ~ ssList(cons(sk6,nil))
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| ~ ssList(sk9) ),
inference(superposition,[],[f257,f161]) ).
fof(f288,plain,
( sk3 = app(app(app(sk7,cons(sk5,nil)),sk8),app(cons(sk6,nil),sk9))
| ~ ssList(cons(sk6,nil))
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk8)) ),
inference(forward_subsumption_resolution,[],[f262,f214]) ).
fof(f292,definition,
( spl0_7
<=> ssList(app(app(sk7,cons(sk5,nil)),sk8)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f293,plain,
( ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| spl0_7 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f295,definition,
( spl0_8
<=> ssList(cons(sk6,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f296,plain,
( ~ ssList(cons(sk6,nil))
| spl0_8 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f298,definition,
( spl0_9
<=> sk3 = app(app(app(sk7,cons(sk5,nil)),sk8),app(cons(sk6,nil),sk9)) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f299,plain,
( sk3 = app(app(app(sk7,cons(sk5,nil)),sk8),app(cons(sk6,nil),sk9))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f345,plain,
( ~ spl0_7
| ~ spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f288,f298,f295,f292]) ).
fof(f347,definition,
( spl0_21
<=> ssList(app(sk7,cons(sk5,nil))) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f348,plain,
( ~ ssList(app(sk7,cons(sk5,nil)))
| spl0_21 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f355,definition,
( spl0_23
<=> ssList(cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f356,plain,
( ~ ssList(cons(sk5,nil))
| spl0_23 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f361,plain,
( ~ ssList(nil)
| ~ ssItem(sk6)
| spl0_8 ),
inference(resolution,[],[f296,f86]) ).
fof(f362,plain,
( ~ ssItem(sk6)
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f361,f8]) ).
fof(f363,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f362,f211]) ).
fof(f364,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f363]) ).
fof(f381,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_23 ),
inference(resolution,[],[f356,f86]) ).
fof(f382,plain,
( ~ ssItem(sk5)
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f381,f8]) ).
fof(f383,plain,
( $false
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f382,f210]) ).
fof(f384,plain,
spl0_23,
inference(avatar_contradiction_clause,[],[f383]) ).
fof(f385,plain,
( ~ ssList(sk7)
| ~ ssList(cons(sk5,nil))
| spl0_21 ),
inference(resolution,[],[f348,f85]) ).
fof(f386,plain,
( ~ ssList(cons(sk5,nil))
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f385,f212]) ).
fof(f387,plain,
( ~ spl0_23
| spl0_21 ),
inference(avatar_split_clause,[],[f386,f347,f355]) ).
fof(f389,plain,
( ~ ssList(app(sk7,app(cons(sk5,nil),sk8)))
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk7)
| ~ ssList(sk8)
| spl0_7 ),
inference(superposition,[],[f293,f161]) ).
fof(f390,plain,
( ~ ssList(app(sk7,app(cons(sk5,nil),sk8)))
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk8)
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f389,f212]) ).
fof(f392,plain,
( ~ ssList(app(sk7,app(cons(sk5,nil),sk8)))
| ~ ssList(cons(sk5,nil))
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f390,f213]) ).
fof(f395,definition,
( spl0_26
<=> ssList(app(sk7,app(cons(sk5,nil),sk8))) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f396,plain,
( ~ ssList(app(sk7,app(cons(sk5,nil),sk8)))
| spl0_26 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f397,plain,
( ~ spl0_23
| ~ spl0_26
| spl0_7 ),
inference(avatar_split_clause,[],[f392,f292,f395,f355]) ).
fof(f402,plain,
! [X0] :
( sk3 != sk3
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| ~ ssList(sk9)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| leq(X0,sk6)
| ~ memberP(app(app(sk7,cons(sk5,nil)),sk8),X0) ),
inference(superposition,[],[f209,f257]) ).
fof(f404,plain,
! [X0] :
( ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| ~ ssList(sk9)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| leq(X0,sk6)
| ~ memberP(app(app(sk7,cons(sk5,nil)),sk8),X0) ),
inference(trivial_inequality_removal,[],[f402]) ).
fof(f407,plain,
! [X0] :
( ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| ~ ssItem(sk6)
| ~ ssItem(X0)
| leq(X0,sk6)
| ~ memberP(app(app(sk7,cons(sk5,nil)),sk8),X0) ),
inference(forward_subsumption_resolution,[],[f404,f214]) ).
fof(f409,plain,
! [X0] :
( ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| ~ ssItem(X0)
| leq(X0,sk6)
| ~ memberP(app(app(sk7,cons(sk5,nil)),sk8),X0) ),
inference(forward_subsumption_resolution,[],[f407,f211]) ).
fof(f411,definition,
( spl0_27
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(app(app(sk7,cons(sk5,nil)),sk8),X0)
| leq(X0,sk6) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f412,plain,
( ! [X0] :
( ~ memberP(app(app(sk7,cons(sk5,nil)),sk8),X0)
| ~ ssItem(X0)
| leq(X0,sk6) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f413,plain,
( spl0_27
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f409,f292,f411]) ).
fof(f429,plain,
( ! [X0] :
( ~ ssItem(X0)
| leq(X0,sk6)
| ~ ssList(sk8)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssItem(X0)
| ~ memberP(app(sk7,cons(sk5,nil)),X0) )
| ~ spl0_27 ),
inference(resolution,[],[f412,f151]) ).
fof(f430,plain,
( ! [X0] :
( ~ ssItem(X0)
| leq(X0,sk6)
| ~ ssList(sk8)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssItem(X0)
| ~ memberP(sk8,X0) )
| ~ spl0_27 ),
inference(resolution,[],[f412,f152]) ).
fof(f432,plain,
( ! [X0] :
( ~ ssItem(X0)
| leq(X0,sk6)
| ~ ssList(sk8)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ memberP(sk8,X0) )
| ~ spl0_27 ),
inference(duplicate_literal_removal,[],[f430]) ).
fof(f433,plain,
( ! [X0] :
( ~ ssItem(X0)
| leq(X0,sk6)
| ~ ssList(sk8)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ memberP(app(sk7,cons(sk5,nil)),X0) )
| ~ spl0_27 ),
inference(duplicate_literal_removal,[],[f429]) ).
fof(f435,plain,
( ! [X0] :
( ~ ssItem(X0)
| leq(X0,sk6)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ memberP(sk8,X0) )
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f432,f213]) ).
fof(f436,plain,
( ! [X0] :
( ~ ssItem(X0)
| leq(X0,sk6)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ memberP(app(sk7,cons(sk5,nil)),X0) )
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f433,f213]) ).
fof(f439,definition,
( spl0_30
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(sk8,X0)
| leq(X0,sk6) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f440,plain,
( ! [X0] :
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| leq(X0,sk6) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f441,plain,
( ~ spl0_21
| spl0_30
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f435,f411,f439,f347]) ).
fof(f443,definition,
( spl0_31
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(app(sk7,cons(sk5,nil)),X0)
| leq(X0,sk6) ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f444,plain,
( ! [X0] :
( ~ memberP(app(sk7,cons(sk5,nil)),X0)
| ~ ssItem(X0)
| leq(X0,sk6) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f445,plain,
( ~ spl0_21
| spl0_31
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f436,f411,f443,f347]) ).
fof(f469,plain,
( ~ ssItem(sk5)
| leq(sk5,sk6)
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_31 ),
inference(resolution,[],[f444,f221]) ).
fof(f474,plain,
( ~ ssItem(sk5)
| leq(sk5,sk6)
| ~ ssList(sk7)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_31 ),
inference(duplicate_literal_removal,[],[f469]) ).
fof(f477,plain,
( leq(sk5,sk6)
| ~ ssList(sk7)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f474,f210]) ).
fof(f490,plain,
( leq(sk5,sk6)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f477,f212]) ).
fof(f491,plain,
( leq(sk5,sk6)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f490,f8]) ).
fof(f493,plain,
( ~ spl0_21
| spl0_1
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f491,f443,f228,f347]) ).
fof(f509,plain,
( ~ ssItem(sk10)
| leq(sk10,sk6)
| ~ spl0_4
| ~ spl0_30 ),
inference(resolution,[],[f239,f440]) ).
fof(f510,plain,
( leq(sk10,sk6)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f509,f243]) ).
fof(f511,plain,
( $false
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f510,f232]) ).
fof(f512,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f511]) ).
fof(f526,plain,
( sk3 = app(app(app(sk7,cons(sk5,nil)),sk8),app(cons(sk5,nil),sk9))
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f299,f255]) ).
fof(f572,plain,
( sk3 = app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk5,sk9))
| ~ ssList(sk9)
| ~ ssItem(sk5)
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f526,f126]) ).
fof(f622,plain,
( sk3 = app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk5,sk9))
| ~ ssItem(sk5)
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f572,f214]) ).
fof(f629,plain,
( sk3 = app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk5,sk9))
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f622,f210]) ).
fof(f827,definition,
( spl0_73
<=> ssList(app(cons(sk5,nil),sk8)) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f828,plain,
( ~ ssList(app(cons(sk5,nil),sk8))
| spl0_73 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f843,plain,
( ~ ssList(cons(sk5,sk8))
| ~ ssList(sk8)
| ~ ssItem(sk5)
| spl0_73 ),
inference(superposition,[],[f828,f126]) ).
fof(f844,plain,
( ~ ssList(sk8)
| ~ ssItem(sk5)
| spl0_73 ),
inference(forward_subsumption_resolution,[],[f843,f86]) ).
fof(f846,plain,
( ~ ssItem(sk5)
| spl0_73 ),
inference(forward_subsumption_resolution,[],[f844,f213]) ).
fof(f848,plain,
( $false
| spl0_73 ),
inference(forward_subsumption_resolution,[],[f846,f210]) ).
fof(f849,plain,
spl0_73,
inference(avatar_contradiction_clause,[],[f848]) ).
fof(f862,plain,
( ~ ssList(sk7)
| ~ ssList(app(cons(sk5,nil),sk8))
| spl0_26 ),
inference(resolution,[],[f396,f85]) ).
fof(f865,plain,
( ~ ssList(app(cons(sk5,nil),sk8))
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f862,f212]) ).
fof(f867,plain,
( ~ spl0_73
| spl0_26 ),
inference(avatar_split_clause,[],[f865,f395,f827]) ).
fof(f890,plain,
( sk3 = app(app(sk7,cons(sk5,nil)),app(sk8,cons(sk5,sk9)))
| ~ ssList(sk8)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk5,sk9))
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f629,f161]) ).
fof(f907,definition,
( spl0_81
<=> ssList(cons(sk5,sk9)) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f908,plain,
( ~ ssList(cons(sk5,sk9))
| spl0_81 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f932,plain,
( sk3 = app(app(sk7,cons(sk5,nil)),app(sk8,cons(sk5,sk9)))
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk5,sk9))
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f890,f213]) ).
fof(f935,definition,
( spl0_87
<=> sk3 = app(app(sk7,cons(sk5,nil)),app(sk8,cons(sk5,sk9))) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f936,plain,
( sk3 = app(app(sk7,cons(sk5,nil)),app(sk8,cons(sk5,sk9)))
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f938,plain,
( ~ spl0_81
| ~ spl0_21
| spl0_87
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f932,f298,f254,f935,f347,f907]) ).
fof(f964,plain,
( ~ ssList(sk9)
| ~ ssItem(sk5)
| spl0_81 ),
inference(resolution,[],[f908,f86]) ).
fof(f965,plain,
( ~ ssItem(sk5)
| spl0_81 ),
inference(forward_subsumption_resolution,[],[f964,f214]) ).
fof(f966,plain,
( $false
| spl0_81 ),
inference(forward_subsumption_resolution,[],[f965,f210]) ).
fof(f967,plain,
spl0_81,
inference(avatar_contradiction_clause,[],[f966]) ).
fof(f1126,plain,
( ! [X0] :
( sk3 != sk3
| ~ ssList(sk7)
| ~ ssList(app(sk8,cons(sk5,sk9)))
| ~ ssItem(sk5)
| ~ ssItem(X0)
| leq(sk5,X0)
| ~ memberP(app(sk8,cons(sk5,sk9)),X0) )
| ~ spl0_87 ),
inference(superposition,[],[f207,f936]) ).
fof(f1128,plain,
( ! [X0] :
( ~ ssList(sk7)
| ~ ssList(app(sk8,cons(sk5,sk9)))
| ~ ssItem(sk5)
| ~ ssItem(X0)
| leq(sk5,X0)
| ~ memberP(app(sk8,cons(sk5,sk9)),X0) )
| ~ spl0_87 ),
inference(trivial_inequality_removal,[],[f1126]) ).
fof(f1131,plain,
( ! [X0] :
( ~ ssList(app(sk8,cons(sk5,sk9)))
| ~ ssItem(sk5)
| ~ ssItem(X0)
| leq(sk5,X0)
| ~ memberP(app(sk8,cons(sk5,sk9)),X0) )
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[],[f1128,f212]) ).
fof(f1133,definition,
( spl0_107
<=> ssList(app(sk8,cons(sk5,sk9))) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
fof(f1134,plain,
( ~ ssList(app(sk8,cons(sk5,sk9)))
| spl0_107 ),
inference(avatar_component_clause,[],[f1133]) ).
fof(f1170,plain,
( ! [X0] :
( ~ ssList(app(sk8,cons(sk5,sk9)))
| ~ ssItem(X0)
| leq(sk5,X0)
| ~ memberP(app(sk8,cons(sk5,sk9)),X0) )
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[],[f1131,f210]) ).
fof(f1173,definition,
( spl0_116
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(app(sk8,cons(sk5,sk9)),X0)
| leq(sk5,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
fof(f1174,plain,
( ! [X0] :
( ~ memberP(app(sk8,cons(sk5,sk9)),X0)
| ~ ssItem(X0)
| leq(sk5,X0) )
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f1173]) ).
fof(f1175,plain,
( spl0_116
| ~ spl0_107
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f1170,f935,f1133,f1173]) ).
fof(f1221,plain,
( ~ ssList(sk8)
| ~ ssList(cons(sk5,sk9))
| spl0_107 ),
inference(resolution,[],[f1134,f85]) ).
fof(f1222,plain,
( ~ ssList(cons(sk5,sk9))
| spl0_107 ),
inference(forward_subsumption_resolution,[],[f1221,f213]) ).
fof(f1223,plain,
( ~ spl0_81
| spl0_107 ),
inference(avatar_split_clause,[],[f1222,f1133,f907]) ).
fof(f1310,plain,
( ! [X0] :
( ~ ssItem(X0)
| leq(sk5,X0)
| ~ ssList(cons(sk5,sk9))
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(sk8,X0) )
| ~ spl0_116 ),
inference(resolution,[],[f1174,f151]) ).
fof(f1313,plain,
( ! [X0] :
( ~ ssItem(X0)
| leq(sk5,X0)
| ~ ssList(cons(sk5,sk9))
| ~ ssList(sk8)
| ~ memberP(sk8,X0) )
| ~ spl0_116 ),
inference(duplicate_literal_removal,[],[f1310]) ).
fof(f1316,plain,
( ! [X0] :
( ~ ssItem(X0)
| leq(sk5,X0)
| ~ ssList(cons(sk5,sk9))
| ~ memberP(sk8,X0) )
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[],[f1313,f213]) ).
fof(f1322,definition,
( spl0_132
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(sk8,X0)
| leq(sk5,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
fof(f1323,plain,
( ! [X0] :
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| leq(sk5,X0) )
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f1322]) ).
fof(f1324,plain,
( ~ spl0_81
| spl0_132
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1316,f1173,f1322,f907]) ).
fof(f1326,plain,
( ~ ssItem(sk10)
| leq(sk5,sk10)
| ~ spl0_4
| ~ spl0_132 ),
inference(resolution,[],[f1323,f239]) ).
fof(f1327,plain,
( leq(sk5,sk10)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_132 ),
inference(forward_subsumption_resolution,[],[f1326,f243]) ).
fof(f1328,plain,
( $false
| spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_132 ),
inference(forward_subsumption_resolution,[],[f1327,f235]) ).
fof(f1329,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_132 ),
inference(avatar_contradiction_clause,[],[f1328]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f236]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f240]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f244]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f256]) ).
cnf(s17,plain,
( ~ spl0_7
| ~ spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f345]) ).
cnf(s20,plain,
spl0_8,
inference(sat_conversion,[],[f364]) ).
cnf(s22,plain,
spl0_23,
inference(sat_conversion,[],[f384]) ).
cnf(s23,plain,
( spl0_21
| ~ spl0_23 ),
inference(sat_conversion,[],[f387]) ).
cnf(s25,plain,
( spl0_7
| ~ spl0_23
| ~ spl0_26 ),
inference(sat_conversion,[],[f397]) ).
cnf(s26,plain,
( ~ spl0_7
| spl0_27 ),
inference(sat_conversion,[],[f413]) ).
cnf(s30,plain,
( ~ spl0_21
| ~ spl0_27
| spl0_30 ),
inference(sat_conversion,[],[f441]) ).
cnf(s31,plain,
( ~ spl0_21
| ~ spl0_27
| spl0_31 ),
inference(sat_conversion,[],[f445]) ).
cnf(s39,plain,
( spl0_1
| ~ spl0_21
| ~ spl0_31 ),
inference(sat_conversion,[],[f493]) ).
cnf(s42,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_30 ),
inference(sat_conversion,[],[f512]) ).
cnf(s94,plain,
spl0_73,
inference(sat_conversion,[],[f849]) ).
cnf(s97,plain,
( spl0_26
| ~ spl0_73 ),
inference(sat_conversion,[],[f867]) ).
cnf(s111,plain,
( ~ spl0_6
| ~ spl0_9
| ~ spl0_21
| ~ spl0_81
| spl0_87 ),
inference(sat_conversion,[],[f938]) ).
cnf(s116,plain,
spl0_81,
inference(sat_conversion,[],[f967]) ).
cnf(s149,plain,
( ~ spl0_87
| ~ spl0_107
| spl0_116 ),
inference(sat_conversion,[],[f1175]) ).
cnf(s155,plain,
( ~ spl0_81
| spl0_107 ),
inference(sat_conversion,[],[f1223]) ).
cnf(s169,plain,
( ~ spl0_81
| ~ spl0_116
| spl0_132 ),
inference(sat_conversion,[],[f1324]) ).
cnf(s170,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_132 ),
inference(sat_conversion,[],[f1329]) ).
cnf(s176,plain,
spl0_107,
inference(rat,[],[s155,s116]) ).
cnf(s177,plain,
( ~ spl0_6
| ~ spl0_9
| ~ spl0_21
| spl0_87 ),
inference(rat,[],[s111,s116]) ).
cnf(s187,plain,
spl0_26,
inference(rat,[],[s97,s94]) ).
cnf(s204,plain,
( spl0_7
| ~ spl0_23 ),
inference(rat,[],[s25,s187]) ).
cnf(s208,plain,
spl0_7,
inference(rat,[],[s204,s22]) ).
cnf(s209,plain,
spl0_21,
inference(rat,[],[s23,s22]) ).
cnf(s211,plain,
spl0_27,
inference(rat,[],[s26,s208]) ).
cnf(s214,plain,
spl0_31,
inference(rat,[],[s31,s209,s211]) ).
cnf(s215,plain,
spl0_30,
inference(rat,[],[s30,s209,s211]) ).
cnf(s218,plain,
spl0_1,
inference(rat,[],[s39,s209,s214]) ).
cnf(s223,plain,
spl0_9,
inference(rat,[],[s17,s20,s208]) ).
cnf(s236,plain,
spl0_6,
inference(rat,[],[s4,s218]) ).
cnf(s256,plain,
spl0_87,
inference(rat,[],[s177,s223,s209,s236]) ).
cnf(s288,plain,
spl0_116,
inference(rat,[],[s149,s176,s256]) ).
cnf(s309,plain,
spl0_132,
inference(rat,[],[s169,s116,s288]) ).
cnf(s315,plain,
spl0_5,
inference(rat,[],[s3,s218]) ).
cnf(s316,plain,
spl0_4,
inference(rat,[],[s2,s218]) ).
cnf(s317,plain,
spl0_3,
inference(rat,[],[s170,s309,s315,s316]) ).
cnf(s318,plain,
spl0_2,
inference(rat,[],[s42,s215,s315,s316]) ).
cnf(s319,plain,
$false,
inference(rat,[],[s1,s317,s318,s218]) ).
fof(f1330,plain,
$false,
inference(avatar_sat_refutation,[],[s319]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC155-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 08:14:03 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.75/1.32 % (1427069)Input is clausal, will run a generic CNF schedule.
% 2.75/1.32 % (1427077)lrs+10_1_sil=8000:sp=occurrence:random_seed=3089151448:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.75/1.32 % (1427077)Instruction limit reached!
% 2.75/1.32 % (1427077)------------------------------
% 2.75/1.32 % (1427077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.32 % (1427077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.32 % (1427077)CaDiCaL version: 2.1.3
% 2.75/1.32 % (1427077)Termination reason: Instruction limit
% 2.75/1.32 % (1427077)Termination phase: Saturation
% 2.75/1.32 % (1427077)Time elapsed: 0.035 s
% 2.75/1.32 % (1427077)Peak memory usage: 90 MB
% 2.75/1.32 % (1427077)Instructions burned: 108 (million)
% 2.75/1.32 % (1427078)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3152478410:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.75/1.32 % (1427074)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=3796514335:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.75/1.32 % (1427075)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3589385690:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.75/1.32 % (1427080)dis-21_1_sil=8000:lcm=predicate:random_seed=2090379416: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)
% 2.75/1.32 % (1427076)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2235747398:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.75/1.32 % (1427079)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3019277992:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.75/1.32 % (1427080)Instruction limit reached!
% 2.75/1.32 % (1427080)------------------------------
% 2.75/1.32 % (1427080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.32 % (1427080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.32 % (1427080)CaDiCaL version: 2.1.3
% 2.75/1.32 % (1427080)Termination reason: Instruction limit
% 2.75/1.32 % (1427080)Termination phase: Saturation
% 2.75/1.32 % (1427080)Time elapsed: 0.055 s
% 2.75/1.32 % (1427080)Peak memory usage: 89 MB
% 2.75/1.32 % (1427080)Instructions burned: 119 (million)
% 2.75/1.32 % (1427078)Instruction limit reached!
% 2.75/1.32 % (1427078)------------------------------
% 2.75/1.32 % (1427078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.32 % (1427078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.32 % (1427078)CaDiCaL version: 2.1.3
% 2.75/1.32 % (1427078)Termination reason: Instruction limit
% 2.75/1.32 % (1427078)Termination phase: Saturation
% 2.75/1.32 % (1427078)Time elapsed: 0.070 s
% 2.75/1.32 % (1427078)Peak memory usage: 89 MB
% 2.75/1.32 % (1427078)Instructions burned: 115 (million)
% 2.75/1.32 % (1427082)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=3390783840:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.75/1.32 % (1427079)Instruction limit reached!
% 2.75/1.32 % (1427079)------------------------------
% 2.75/1.32 % (1427079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.32 % (1427079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.32 % (1427079)CaDiCaL version: 2.1.3
% 2.75/1.32 % (1427079)Termination reason: Instruction limit
% 2.75/1.32 % (1427079)Termination phase: Saturation
% 2.75/1.32 % (1427079)Time elapsed: 0.117 s
% 2.75/1.32 % (1427079)Peak memory usage: 90 MB
% 2.75/1.32 % (1427079)Instructions burned: 180 (million)
% 2.75/1.32 % (1427082)First to succeed.
% 2.75/1.32 % (1427082)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1427069"
% 2.75/1.32 % (1427089)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1686828276: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)
% 2.75/1.32 % (1427090)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=611413643:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 2.75/1.32 % (1427092)lrs+10_64_to=lpo:sil=8000:random_seed=3579472396:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 2.75/1.32 % (1427082)Refutation found. Thanks to Tanya!
% 2.75/1.32 % SZS status Unsatisfiable for theBenchmark
% 2.75/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.91/1.52 % (1427082)------------------------------
% 3.91/1.52 % (1427082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.52 % (1427082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.52 % (1427082)CaDiCaL version: 2.1.3
% 3.91/1.52 % (1427082)Termination reason: Refutation
% 3.91/1.52 % (1427082)Time elapsed: 0.015 s
% 3.91/1.52 % (1427082)Peak memory usage: 90 MB
% 3.91/1.52 % (1427082)Instructions burned: 37 (million)
% 3.91/1.52 % (1427082)------------------------------
% 3.91/1.52 % (1427082)------------------------------
% 3.91/1.52 % (1427069)Success in time 0.469 s
% 3.91/1.52 % Vampire exiting
%------------------------------------------------------------------------------