%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC162-1 : 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 : n014.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 01:02:43 PM UTC 2026
% Result : Unsatisfiable 8.79s 2.13s
% Output : Refutation 9.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 47
% Syntax : Number of formulae : 217 ( 43 unt; 17 def)
% Number of atoms : 757 ( 80 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 1050 ( 510 ~; 529 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 12 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-2 aty)
% Number of variables : 70 ( 0 sgn 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
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(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
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(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(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f103,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
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(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(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
segmentP(sk4,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
ssList(sk9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f212,negated_conjecture,
app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f213,plain,
sk1 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
inference(reorient_equations,[],[f212]) ).
fof(f214,negated_conjecture,
leq(sk6,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f215,negated_conjecture,
( ssItem(sk10)
| ~ leq(sk5,sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f216,negated_conjecture,
( memberP(sk8,sk10)
| ~ leq(sk5,sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f217,negated_conjecture,
( ~ leq(sk5,sk10)
| ~ leq(sk10,sk6)
| ~ leq(sk5,sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f218,negated_conjecture,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f221,plain,
sk3 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
inference(definition_unfolding,[],[f213,f205]) ).
fof(f237,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(f246,definition,
sF0 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f247,plain,
cons(sk5,nil) = sF0,
inference(reorient_equations,[],[f246]) ).
fof(f248,definition,
sF1 = app(sk7,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f249,plain,
app(sk7,sF0) = sF1,
inference(reorient_equations,[],[f248]) ).
fof(f250,definition,
sF2 = app(sF1,sk8),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f251,plain,
app(sF1,sk8) = sF2,
inference(reorient_equations,[],[f250]) ).
fof(f252,definition,
sF3 = cons(sk6,nil),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f253,plain,
cons(sk6,nil) = sF3,
inference(reorient_equations,[],[f252]) ).
fof(f254,definition,
sF4 = app(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f255,plain,
app(sF2,sF3) = sF4,
inference(reorient_equations,[],[f254]) ).
fof(f256,definition,
sF5 = app(sF4,sk9),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f257,plain,
app(sF4,sk9) = sF5,
inference(reorient_equations,[],[f256]) ).
fof(f258,plain,
sk3 = sF5,
inference(definition_folding,[],[f221,f257,f255,f253,f251,f249,f247]) ).
fof(f266,definition,
( spl6_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f268,plain,
( ~ neq(sk4,nil)
| spl6_1 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f270,definition,
( spl6_2
<=> singletonP(sk3) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f272,plain,
( singletonP(sk3)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f273,plain,
( ~ spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f218,f270,f266]) ).
fof(f275,definition,
( spl6_3
<=> leq(sk5,sk6) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f277,plain,
( ~ leq(sk5,sk6)
| spl6_3 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f279,definition,
( spl6_4
<=> leq(sk10,sk6) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
fof(f281,plain,
( ~ leq(sk10,sk6)
| spl6_4 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f283,definition,
( spl6_5
<=> leq(sk5,sk10) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
fof(f285,plain,
( ~ leq(sk5,sk10)
| spl6_5 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f286,plain,
( ~ spl6_3
| ~ spl6_4
| ~ spl6_5 ),
inference(avatar_split_clause,[],[f217,f283,f279,f275]) ).
fof(f288,definition,
( spl6_6
<=> memberP(sk8,sk10) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
fof(f290,plain,
( memberP(sk8,sk10)
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f291,plain,
( ~ spl6_3
| spl6_6 ),
inference(avatar_split_clause,[],[f216,f288,f275]) ).
fof(f293,definition,
( spl6_7
<=> ssItem(sk10) ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
fof(f295,plain,
( ssItem(sk10)
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f296,plain,
( ~ spl6_3
| spl6_7 ),
inference(avatar_split_clause,[],[f215,f293,f275]) ).
fof(f302,definition,
( spl6_9
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition]) ).
fof(f303,plain,
( ssList(nil)
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f338,plain,
spl6_9,
inference(avatar_split_clause,[],[f8,f302]) ).
fof(f339,plain,
sk3 = app(sF4,sk9),
inference(forward_demodulation,[],[f257,f258]) ).
fof(f340,plain,
! [X0] :
( memberP(app(X0,sF0),sk5)
| ~ ssList(X0)
| ~ ssItem(sk5)
| ~ ssList(app(X0,sF0))
| ~ ssList(nil) ),
inference(superposition,[],[f237,f247]) ).
fof(f341,plain,
! [X0] :
( memberP(app(X0,sF3),sk6)
| ~ ssList(X0)
| ~ ssItem(sk6)
| ~ ssList(app(X0,sF3))
| ~ ssList(nil) ),
inference(superposition,[],[f237,f253]) ).
fof(f342,plain,
! [X0] :
( memberP(app(X0,sF3),sk6)
| ~ ssList(X0)
| ~ ssList(app(X0,sF3))
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f341,f208]) ).
fof(f343,plain,
! [X0] :
( memberP(app(X0,sF0),sk5)
| ~ ssList(X0)
| ~ ssList(app(X0,sF0))
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f340,f207]) ).
fof(f344,plain,
( ! [X0] :
( memberP(app(X0,sF3),sk6)
| ~ ssList(X0)
| ~ ssList(app(X0,sF3)) )
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f342,f303]) ).
fof(f345,plain,
( ! [X0] :
( memberP(app(X0,sF0),sk5)
| ~ ssList(X0)
| ~ ssList(app(X0,sF0)) )
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f343,f303]) ).
fof(f346,plain,
! [X0] :
( ~ memberP(sF0,X0)
| ~ ssList(nil)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk5 = X0 ),
inference(superposition,[],[f174,f247]) ).
fof(f347,plain,
! [X0] :
( ~ memberP(sF3,X0)
| ~ ssList(nil)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk6 = X0 ),
inference(superposition,[],[f174,f253]) ).
fof(f348,plain,
( ! [X0] :
( ~ memberP(sF3,X0)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk6 = X0 )
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f347,f303]) ).
fof(f349,plain,
( ! [X0] :
( ~ memberP(sF0,X0)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk5 = X0 )
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f346,f303]) ).
fof(f350,plain,
( ! [X0] :
( ~ memberP(sF3,X0)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk6 = X0 )
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f348,f208]) ).
fof(f351,plain,
( ! [X0] :
( ~ memberP(sF0,X0)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk5 = X0 )
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f349,f207]) ).
fof(f354,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl6_1 ),
inference(resolution,[],[f102,f268]) ).
fof(f355,plain,
( ~ ssList(nil)
| nil = sk4
| spl6_1 ),
inference(forward_subsumption_resolution,[],[f354,f203]) ).
fof(f356,plain,
( nil = sk4
| spl6_1
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f355,f303]) ).
fof(f358,plain,
( ssList(sF0)
| ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(superposition,[],[f86,f247]) ).
fof(f359,plain,
( ssList(sF3)
| ~ ssList(nil)
| ~ ssItem(sk6) ),
inference(superposition,[],[f86,f253]) ).
fof(f360,plain,
( ssList(sF3)
| ~ ssItem(sk6)
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f359,f303]) ).
fof(f361,plain,
( ssList(sF0)
| ~ ssItem(sk5)
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f358,f303]) ).
fof(f362,plain,
( ssList(sF3)
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f360,f208]) ).
fof(f363,plain,
( ssList(sF0)
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f361,f207]) ).
fof(f364,plain,
( ssList(sF1)
| ~ ssList(sk7)
| ~ ssList(sF0) ),
inference(superposition,[],[f85,f249]) ).
fof(f365,plain,
( ssList(sF2)
| ~ ssList(sF1)
| ~ ssList(sk8) ),
inference(superposition,[],[f85,f251]) ).
fof(f366,plain,
( ssList(sF4)
| ~ ssList(sF2)
| ~ ssList(sF3) ),
inference(superposition,[],[f85,f255]) ).
fof(f368,plain,
( ssList(sF4)
| ~ ssList(sF2)
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f366,f362]) ).
fof(f369,plain,
( ssList(sF2)
| ~ ssList(sF1) ),
inference(forward_subsumption_resolution,[],[f365,f210]) ).
fof(f370,plain,
( ssList(sF1)
| ~ ssList(sF0) ),
inference(forward_subsumption_resolution,[],[f364,f209]) ).
fof(f372,definition,
( spl6_17
<=> ssList(sF2) ),
introduced(definition,[new_symbols(definition,[spl6_17])],[avatar_definition]) ).
fof(f373,plain,
( ssList(sF2)
| ~ spl6_17 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f376,definition,
( spl6_18
<=> ssList(sF4) ),
introduced(definition,[new_symbols(definition,[spl6_18])],[avatar_definition]) ).
fof(f378,plain,
( ssList(sF4)
| ~ spl6_18 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f379,plain,
( ~ spl6_17
| spl6_18
| ~ spl6_9 ),
inference(avatar_split_clause,[],[f368,f302,f376,f372]) ).
fof(f381,definition,
( spl6_19
<=> ssList(sF1) ),
introduced(definition,[new_symbols(definition,[spl6_19])],[avatar_definition]) ).
fof(f382,plain,
( ssList(sF1)
| ~ spl6_19 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f384,plain,
( ~ spl6_19
| spl6_17 ),
inference(avatar_split_clause,[],[f369,f372,f381]) ).
fof(f385,plain,
( ssList(sF1)
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f370,f363]) ).
fof(f386,plain,
( spl6_19
| ~ spl6_9 ),
inference(avatar_split_clause,[],[f385,f302,f381]) ).
fof(f387,plain,
( segmentP(nil,sk3)
| spl6_1
| ~ spl6_9 ),
inference(superposition,[],[f206,f356]) ).
fof(f414,plain,
( sF4 = app(sF4,nil)
| ~ spl6_18 ),
inference(resolution,[],[f73,f378]) ).
fof(f418,plain,
( nil != sF3
| ~ ssItem(sk6)
| ~ ssList(nil) ),
inference(superposition,[],[f99,f253]) ).
fof(f419,plain,
( nil != sF3
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f418,f208]) ).
fof(f421,plain,
( nil != sF3
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f419,f303]) ).
fof(f460,plain,
( ~ ssList(sk3)
| nil = sk3
| spl6_1
| ~ spl6_9 ),
inference(resolution,[],[f387,f80]) ).
fof(f461,plain,
( nil = sk3
| spl6_1
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f460,f202]) ).
fof(f466,plain,
! [X0] :
( memberP(sF2,X0)
| ~ ssList(sk8)
| ~ ssList(sF1)
| ~ ssItem(X0)
| ~ memberP(sF1,X0) ),
inference(superposition,[],[f151,f251]) ).
fof(f467,plain,
! [X0] :
( memberP(sF4,X0)
| ~ ssList(sF3)
| ~ ssList(sF2)
| ~ ssItem(X0)
| ~ memberP(sF2,X0) ),
inference(superposition,[],[f151,f255]) ).
fof(f468,plain,
! [X0] :
( memberP(sk3,X0)
| ~ ssList(sk9)
| ~ ssList(sF4)
| ~ ssItem(X0)
| ~ memberP(sF4,X0) ),
inference(superposition,[],[f151,f339]) ).
fof(f469,plain,
! [X0] :
( memberP(sk3,X0)
| ~ ssList(sF4)
| ~ ssItem(X0)
| ~ memberP(sF4,X0) ),
inference(forward_subsumption_resolution,[],[f468,f211]) ).
fof(f470,plain,
( ! [X0] :
( memberP(sF4,X0)
| ~ ssList(sF2)
| ~ ssItem(X0)
| ~ memberP(sF2,X0) )
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f467,f362]) ).
fof(f471,plain,
! [X0] :
( memberP(sF2,X0)
| ~ ssList(sF1)
| ~ ssItem(X0)
| ~ memberP(sF1,X0) ),
inference(forward_subsumption_resolution,[],[f466,f210]) ).
fof(f473,plain,
( ! [X0] :
( ~ memberP(sF4,X0)
| ~ ssItem(X0)
| memberP(sk3,X0) )
| ~ spl6_18 ),
inference(forward_subsumption_resolution,[],[f469,f378]) ).
fof(f474,plain,
( ! [X0] :
( ~ memberP(sF2,X0)
| ~ ssItem(X0)
| memberP(sF4,X0) )
| ~ spl6_9
| ~ spl6_17 ),
inference(forward_subsumption_resolution,[],[f470,f373]) ).
fof(f475,plain,
( ! [X0] :
( ~ memberP(sF1,X0)
| ~ ssItem(X0)
| memberP(sF2,X0) )
| ~ spl6_19 ),
inference(forward_subsumption_resolution,[],[f471,f382]) ).
fof(f520,plain,
( nil != sF4
| ~ ssList(sF3)
| ~ ssList(sF2)
| nil = sF3 ),
inference(superposition,[],[f124,f255]) ).
fof(f521,plain,
( nil != sk3
| ~ ssList(sk9)
| ~ ssList(sF4)
| nil = sk9 ),
inference(superposition,[],[f124,f339]) ).
fof(f522,plain,
( ~ ssList(sk9)
| ~ ssList(sF4)
| nil = sk9
| spl6_1
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f521,f461]) ).
fof(f523,plain,
( nil != sF4
| ~ ssList(sF2)
| nil = sF3
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f520,f362]) ).
fof(f526,plain,
( ~ ssList(sF4)
| nil = sk9
| spl6_1
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f522,f211]) ).
fof(f527,plain,
( nil != sF4
| nil = sF3
| ~ spl6_9
| ~ spl6_17 ),
inference(forward_subsumption_resolution,[],[f523,f373]) ).
fof(f530,plain,
( nil = sk9
| spl6_1
| ~ spl6_9
| ~ spl6_18 ),
inference(forward_subsumption_resolution,[],[f526,f378]) ).
fof(f531,plain,
( nil != sF4
| ~ spl6_9
| ~ spl6_17 ),
inference(forward_subsumption_resolution,[],[f527,f421]) ).
fof(f543,plain,
( sk3 = app(sF4,nil)
| spl6_1
| ~ spl6_9
| ~ spl6_18 ),
inference(superposition,[],[f339,f530]) ).
fof(f544,plain,
( sk3 = sF4
| spl6_1
| ~ spl6_9
| ~ spl6_18 ),
inference(forward_demodulation,[],[f543,f414]) ).
fof(f545,plain,
( nil = sF4
| spl6_1
| ~ spl6_9
| ~ spl6_18 ),
inference(forward_demodulation,[],[f544,f461]) ).
fof(f546,plain,
( $false
| spl6_1
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18 ),
inference(forward_subsumption_resolution,[],[f545,f531]) ).
fof(f547,plain,
( spl6_1
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18 ),
inference(avatar_contradiction_clause,[],[f546]) ).
fof(f559,plain,
( ~ ssList(sk3)
| sk3 = cons(skaf44(sk3),nil)
| ~ spl6_2 ),
inference(resolution,[],[f272,f103]) ).
fof(f560,plain,
( sk3 = cons(skaf44(sk3),nil)
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f559,f202]) ).
fof(f563,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssList(nil)
| ~ ssItem(skaf44(sk3))
| ~ ssItem(X0)
| memberP(nil,X0)
| skaf44(sk3) = X0 )
| ~ spl6_2 ),
inference(superposition,[],[f174,f560]) ).
fof(f566,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(skaf44(sk3))
| ~ ssItem(X0)
| memberP(nil,X0)
| skaf44(sk3) = X0 )
| ~ spl6_2
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f563,f303]) ).
fof(f568,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| memberP(nil,X0)
| skaf44(sk3) = X0 )
| ~ spl6_2
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f566,f47]) ).
fof(f591,plain,
( memberP(sF1,sk5)
| ~ ssList(sk7)
| ~ ssList(sF1)
| ~ spl6_9 ),
inference(superposition,[],[f345,f249]) ).
fof(f592,plain,
( memberP(sF1,sk5)
| ~ ssList(sF1)
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f591,f209]) ).
fof(f593,plain,
( memberP(sF1,sk5)
| ~ spl6_9
| ~ spl6_19 ),
inference(forward_subsumption_resolution,[],[f592,f382]) ).
fof(f594,plain,
( memberP(sF4,sk6)
| ~ ssList(sF2)
| ~ ssList(sF4)
| ~ spl6_9 ),
inference(superposition,[],[f344,f255]) ).
fof(f595,plain,
( memberP(sF4,sk6)
| ~ ssList(sF4)
| ~ spl6_9
| ~ spl6_17 ),
inference(forward_subsumption_resolution,[],[f594,f373]) ).
fof(f596,plain,
( memberP(sF4,sk6)
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18 ),
inference(forward_subsumption_resolution,[],[f595,f378]) ).
fof(f604,plain,
! [X0] :
( memberP(sF2,X0)
| ~ ssList(sk8)
| ~ ssList(sF1)
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(superposition,[],[f152,f251]) ).
fof(f609,plain,
! [X0] :
( memberP(sF2,X0)
| ~ ssList(sF1)
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(forward_subsumption_resolution,[],[f604,f210]) ).
fof(f613,plain,
( ! [X0] :
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| memberP(sF2,X0) )
| ~ spl6_19 ),
inference(forward_subsumption_resolution,[],[f609,f382]) ).
fof(f1378,plain,
( ! [X0] :
( ~ memberP(sF3,X0)
| ~ ssItem(X0)
| sk6 = X0 )
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f350,f71]) ).
fof(f1379,plain,
( ! [X0] :
( ~ memberP(sF0,X0)
| ~ ssItem(X0)
| sk5 = X0 )
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f351,f71]) ).
fof(f1383,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| skaf44(sk3) = X0 )
| ~ spl6_2
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f568,f71]) ).
fof(f1430,plain,
( ~ ssItem(sk6)
| memberP(sk3,sk6)
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18 ),
inference(resolution,[],[f473,f596]) ).
fof(f1433,plain,
( memberP(sk3,sk6)
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18 ),
inference(forward_subsumption_resolution,[],[f1430,f208]) ).
fof(f1439,plain,
( ~ ssItem(sk6)
| sk6 = skaf44(sk3)
| ~ spl6_2
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18 ),
inference(resolution,[],[f1433,f1383]) ).
fof(f1442,plain,
( sk6 = skaf44(sk3)
| ~ spl6_2
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18 ),
inference(forward_subsumption_resolution,[],[f1439,f208]) ).
fof(f1658,plain,
( sk3 = cons(sk6,nil)
| ~ spl6_2
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18 ),
inference(superposition,[],[f560,f1442]) ).
fof(f1659,plain,
( sk3 = sF3
| ~ spl6_2
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18 ),
inference(forward_demodulation,[],[f1658,f253]) ).
fof(f1701,plain,
( ~ ssItem(sk5)
| memberP(sF2,sk5)
| ~ spl6_9
| ~ spl6_19 ),
inference(resolution,[],[f475,f593]) ).
fof(f1702,plain,
( memberP(sF2,sk5)
| ~ spl6_9
| ~ spl6_19 ),
inference(forward_subsumption_resolution,[],[f1701,f207]) ).
fof(f1703,plain,
( ~ ssItem(sk5)
| memberP(sF4,sk5)
| ~ spl6_9
| ~ spl6_17
| ~ spl6_19 ),
inference(resolution,[],[f1702,f474]) ).
fof(f1706,plain,
( memberP(sF4,sk5)
| ~ spl6_9
| ~ spl6_17
| ~ spl6_19 ),
inference(forward_subsumption_resolution,[],[f1703,f207]) ).
fof(f1708,plain,
( ~ ssItem(sk5)
| memberP(sk3,sk5)
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18
| ~ spl6_19 ),
inference(resolution,[],[f1706,f473]) ).
fof(f1711,plain,
( memberP(sk3,sk5)
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18
| ~ spl6_19 ),
inference(forward_subsumption_resolution,[],[f1708,f207]) ).
fof(f1713,plain,
( memberP(sF3,sk5)
| ~ spl6_2
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18
| ~ spl6_19 ),
inference(forward_demodulation,[],[f1711,f1659]) ).
fof(f1715,plain,
( ~ ssItem(sk5)
| sk5 = sk6
| ~ spl6_2
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18
| ~ spl6_19 ),
inference(resolution,[],[f1713,f1378]) ).
fof(f1718,plain,
( sk5 = sk6
| ~ spl6_2
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18
| ~ spl6_19 ),
inference(forward_subsumption_resolution,[],[f1715,f207]) ).
fof(f1721,plain,
( leq(sk5,sk5)
| ~ spl6_2
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18
| ~ spl6_19 ),
inference(superposition,[],[f214,f1718]) ).
fof(f1722,plain,
( cons(sk5,nil) = sF3
| ~ spl6_2
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18
| ~ spl6_19 ),
inference(superposition,[],[f253,f1718]) ).
fof(f1723,plain,
( ~ leq(sk5,sk5)
| ~ spl6_2
| spl6_3
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18
| ~ spl6_19 ),
inference(superposition,[],[f277,f1718]) ).
fof(f1729,plain,
( sF0 = sF3
| ~ spl6_2
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18
| ~ spl6_19 ),
inference(forward_demodulation,[],[f1722,f247]) ).
fof(f1730,plain,
( $false
| ~ spl6_2
| spl6_3
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18
| ~ spl6_19 ),
inference(forward_subsumption_resolution,[],[f1721,f1723]) ).
fof(f1731,plain,
( ~ spl6_2
| spl6_3
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18
| ~ spl6_19 ),
inference(avatar_contradiction_clause,[],[f1730]) ).
fof(f1733,plain,
( ~ leq(sk10,sk5)
| ~ spl6_2
| spl6_4
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18
| ~ spl6_19 ),
inference(forward_demodulation,[],[f281,f1718]) ).
fof(f2117,plain,
( ~ ssItem(sk10)
| memberP(sF2,sk10)
| ~ spl6_6
| ~ spl6_19 ),
inference(resolution,[],[f613,f290]) ).
fof(f2118,plain,
( memberP(sF2,sk10)
| ~ spl6_6
| ~ spl6_7
| ~ spl6_19 ),
inference(forward_subsumption_resolution,[],[f2117,f295]) ).
fof(f2119,plain,
( ~ ssItem(sk10)
| memberP(sF4,sk10)
| ~ spl6_6
| ~ spl6_7
| ~ spl6_9
| ~ spl6_17
| ~ spl6_19 ),
inference(resolution,[],[f2118,f474]) ).
fof(f2122,plain,
( memberP(sF4,sk10)
| ~ spl6_6
| ~ spl6_7
| ~ spl6_9
| ~ spl6_17
| ~ spl6_19 ),
inference(forward_subsumption_resolution,[],[f2119,f295]) ).
fof(f2124,plain,
( ~ ssItem(sk10)
| memberP(sk3,sk10)
| ~ spl6_6
| ~ spl6_7
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18
| ~ spl6_19 ),
inference(resolution,[],[f2122,f473]) ).
fof(f2127,plain,
( memberP(sk3,sk10)
| ~ spl6_6
| ~ spl6_7
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18
| ~ spl6_19 ),
inference(forward_subsumption_resolution,[],[f2124,f295]) ).
fof(f2129,plain,
( memberP(sF3,sk10)
| ~ spl6_2
| ~ spl6_6
| ~ spl6_7
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18
| ~ spl6_19 ),
inference(forward_demodulation,[],[f2127,f1659]) ).
fof(f2130,plain,
( memberP(sF0,sk10)
| ~ spl6_2
| ~ spl6_6
| ~ spl6_7
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18
| ~ spl6_19 ),
inference(forward_demodulation,[],[f2129,f1729]) ).
fof(f2132,plain,
( ~ ssItem(sk10)
| sk5 = sk10
| ~ spl6_2
| ~ spl6_6
| ~ spl6_7
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18
| ~ spl6_19 ),
inference(resolution,[],[f2130,f1379]) ).
fof(f2135,plain,
( sk5 = sk10
| ~ spl6_2
| ~ spl6_6
| ~ spl6_7
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18
| ~ spl6_19 ),
inference(forward_subsumption_resolution,[],[f2132,f295]) ).
fof(f2142,plain,
( ~ leq(sk5,sk5)
| ~ spl6_2
| spl6_4
| ~ spl6_6
| ~ spl6_7
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18
| ~ spl6_19 ),
inference(superposition,[],[f1733,f2135]) ).
fof(f2148,plain,
( $false
| ~ spl6_2
| spl6_4
| ~ spl6_6
| ~ spl6_7
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18
| ~ spl6_19 ),
inference(forward_subsumption_resolution,[],[f2142,f1721]) ).
fof(f2149,plain,
( ~ spl6_2
| spl6_4
| ~ spl6_6
| ~ spl6_7
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18
| ~ spl6_19 ),
inference(avatar_contradiction_clause,[],[f2148]) ).
fof(f2151,plain,
( ~ leq(sk5,sk5)
| ~ spl6_2
| spl6_5
| ~ spl6_6
| ~ spl6_7
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18
| ~ spl6_19 ),
inference(forward_demodulation,[],[f285,f2135]) ).
fof(f2153,plain,
( $false
| ~ spl6_2
| spl6_5
| ~ spl6_6
| ~ spl6_7
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18
| ~ spl6_19 ),
inference(forward_subsumption_resolution,[],[f2151,f1721]) ).
fof(f2154,plain,
( ~ spl6_2
| spl6_5
| ~ spl6_6
| ~ spl6_7
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18
| ~ spl6_19 ),
inference(avatar_contradiction_clause,[],[f2153]) ).
cnf(s1,plain,
( ~ spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f273]) ).
cnf(s2,plain,
( ~ spl6_3
| ~ spl6_4
| ~ spl6_5 ),
inference(sat_conversion,[],[f286]) ).
cnf(s3,plain,
( ~ spl6_3
| spl6_6 ),
inference(sat_conversion,[],[f291]) ).
cnf(s4,plain,
( ~ spl6_3
| spl6_7 ),
inference(sat_conversion,[],[f296]) ).
cnf(s14,plain,
spl6_9,
inference(sat_conversion,[],[f338]) ).
cnf(s15,plain,
( ~ spl6_9
| ~ spl6_17
| spl6_18 ),
inference(sat_conversion,[],[f379]) ).
cnf(s16,plain,
( spl6_17
| ~ spl6_19 ),
inference(sat_conversion,[],[f384]) ).
cnf(s17,plain,
( ~ spl6_9
| spl6_19 ),
inference(sat_conversion,[],[f386]) ).
cnf(s19,plain,
( spl6_1
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18 ),
inference(sat_conversion,[],[f547]) ).
cnf(s52,plain,
( ~ spl6_2
| spl6_3
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18
| ~ spl6_19 ),
inference(sat_conversion,[],[f1731]) ).
cnf(s81,plain,
( ~ spl6_2
| spl6_4
| ~ spl6_6
| ~ spl6_7
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18
| ~ spl6_19 ),
inference(sat_conversion,[],[f2149]) ).
cnf(s82,plain,
( ~ spl6_2
| spl6_5
| ~ spl6_6
| ~ spl6_7
| ~ spl6_9
| ~ spl6_17
| ~ spl6_18
| ~ spl6_19 ),
inference(sat_conversion,[],[f2154]) ).
cnf(s83,plain,
spl6_19,
inference(rat,[],[s17,s14]) ).
cnf(s85,plain,
spl6_17,
inference(rat,[],[s16,s83]) ).
cnf(s89,plain,
spl6_18,
inference(rat,[],[s15,s14,s85]) ).
cnf(s90,plain,
spl6_1,
inference(rat,[],[s19,s89,s14,s85]) ).
cnf(s98,plain,
spl6_2,
inference(rat,[],[s1,s90]) ).
cnf(s99,plain,
spl6_3,
inference(rat,[],[s52,s83,s89,s85,s14,s98]) ).
cnf(s101,plain,
spl6_7,
inference(rat,[],[s4,s99]) ).
cnf(s102,plain,
spl6_6,
inference(rat,[],[s3,s99]) ).
cnf(s109,plain,
spl6_5,
inference(rat,[],[s82,s83,s89,s85,s14,s101,s98,s102]) ).
cnf(s110,plain,
spl6_4,
inference(rat,[],[s81,s83,s89,s85,s14,s101,s98,s102]) ).
cnf(s112,plain,
$false,
inference(rat,[],[s2,s99,s109,s110]) ).
fof(f2155,plain,
$false,
inference(avatar_sat_refutation,[],[s112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC162-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 08:13:46 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 6.62/2.03 % (1625444)Input is clausal, will run a generic CNF schedule.
% 6.62/2.03 % (1625450)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=869067113:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.62/2.03 % (1625454)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2322856995:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.62/2.03 % (1625455)dis-21_1_sil=8000:lcm=predicate:random_seed=2410742226: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)
% 6.62/2.03 % (1625452)lrs+10_1_sil=8000:sp=occurrence:random_seed=1796118181:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.62/2.03 % (1625449)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=1444158548:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.62/2.03 % (1625453)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1156397028:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.62/2.03 % (1625451)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=616818516:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.62/2.03 % (1625455)Instruction limit reached!
% 6.62/2.03 % (1625455)------------------------------
% 6.62/2.03 % (1625455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/2.03 % (1625455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/2.03 % (1625455)CaDiCaL version: 2.1.3
% 6.62/2.03 % (1625455)Termination reason: Instruction limit
% 6.62/2.03 % (1625455)Termination phase: Saturation
% 6.62/2.03 % (1625455)Time elapsed: 0.061 s
% 6.62/2.03 % (1625455)Peak memory usage: 89 MB
% 6.62/2.03 % (1625455)Instructions burned: 118 (million)
% 6.62/2.03 % (1625452)Instruction limit reached!
% 6.62/2.03 % (1625452)------------------------------
% 6.62/2.03 % (1625452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/2.03 % (1625452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/2.03 % (1625452)CaDiCaL version: 2.1.3
% 6.62/2.03 % (1625452)Termination reason: Instruction limit
% 6.62/2.03 % (1625452)Termination phase: Saturation
% 6.62/2.03 % (1625452)Time elapsed: 0.064 s
% 6.62/2.03 % (1625452)Peak memory usage: 89 MB
% 6.62/2.03 % (1625452)Instructions burned: 107 (million)
% 6.62/2.03 % (1625453)Instruction limit reached!
% 6.62/2.03 % (1625453)------------------------------
% 6.62/2.03 % (1625453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/2.03 % (1625453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/2.03 % (1625453)CaDiCaL version: 2.1.3
% 6.62/2.03 % (1625453)Termination reason: Instruction limit
% 6.62/2.03 % (1625453)Termination phase: Saturation
% 6.62/2.03 % (1625453)Time elapsed: 0.070 s
% 6.62/2.03 % (1625453)Peak memory usage: 89 MB
% 6.62/2.03 % (1625453)Instructions burned: 115 (million)
% 6.62/2.03 % (1625454)Instruction limit reached!
% 6.62/2.03 % (1625454)------------------------------
% 6.62/2.03 % (1625454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/2.03 % (1625454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/2.03 % (1625454)CaDiCaL version: 2.1.3
% 6.62/2.03 % (1625454)Termination reason: Instruction limit
% 6.62/2.03 % (1625454)Termination phase: Saturation
% 6.62/2.03 % (1625454)Time elapsed: 0.124 s
% 6.62/2.03 % (1625454)Peak memory usage: 90 MB
% 6.62/2.03 % (1625454)Instructions burned: 181 (million)
% 6.62/2.03 % (1625464)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4061365137: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)
% 6.62/2.03 % (1625463)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=875237596:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.62/2.03 % (1625465)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1093424422:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.62/2.03 % (1625466)lrs+10_64_to=lpo:sil=8000:random_seed=1470396492:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.62/2.03 % (1625464)Instruction limit reached!
% 8.79/2.13 % (1625464)------------------------------
% 8.79/2.13 % (1625464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.13 % (1625464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.13 % (1625464)CaDiCaL version: 2.1.3
% 8.79/2.13 % (1625464)Termination reason: Instruction limit
% 8.79/2.13 % (1625464)Termination phase: Saturation
% 8.79/2.13 % (1625464)Time elapsed: 0.096 s
% 8.79/2.13 % (1625464)Peak memory usage: 91 MB
% 8.79/2.13 % (1625464)Instructions burned: 190 (million)
% 8.79/2.13 % (1625463)Instruction limit reached!
% 8.79/2.13 % (1625463)------------------------------
% 8.79/2.13 % (1625463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.13 % (1625463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.13 % (1625463)CaDiCaL version: 2.1.3
% 8.79/2.13 % (1625463)Termination reason: Instruction limit
% 8.79/2.13 % (1625463)Termination phase: Saturation
% 8.79/2.13 % (1625463)Time elapsed: 0.094 s
% 8.79/2.13 % (1625463)Peak memory usage: 90 MB
% 8.79/2.13 % (1625463)Instructions burned: 144 (million)
% 8.79/2.13 % (1625466)Instruction limit reached!
% 8.79/2.13 % (1625466)------------------------------
% 8.79/2.13 % (1625466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.13 % (1625466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.13 % (1625466)CaDiCaL version: 2.1.3
% 8.79/2.13 % (1625466)Termination reason: Instruction limit
% 8.79/2.13 % (1625466)Termination phase: Saturation
% 8.79/2.13 % (1625466)Time elapsed: 0.065 s
% 8.79/2.13 % (1625466)Peak memory usage: 90 MB
% 8.79/2.13 % (1625466)Instructions burned: 127 (million)
% 8.79/2.13 % (1625465)Instruction limit reached!
% 8.79/2.13 % (1625465)------------------------------
% 8.79/2.13 % (1625465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.13 % (1625465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.13 % (1625465)CaDiCaL version: 2.1.3
% 8.79/2.13 % (1625465)Termination reason: Instruction limit
% 8.79/2.13 % (1625465)Termination phase: Saturation
% 8.79/2.13 % (1625465)Time elapsed: 0.132 s
% 8.79/2.13 % (1625465)Peak memory usage: 90 MB
% 8.79/2.13 % (1625465)Instructions burned: 219 (million)
% 8.79/2.13 % (1625471)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2164793611:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.79/2.13 % (1625472)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=153997680:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 8.79/2.13 % (1625471)Instruction limit reached!
% 8.79/2.13 % (1625471)------------------------------
% 8.79/2.13 % (1625471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.13 % (1625471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.13 % (1625471)CaDiCaL version: 2.1.3
% 8.79/2.13 % (1625471)Termination reason: Instruction limit
% 8.79/2.13 % (1625471)Termination phase: Saturation
% 8.79/2.13 % (1625471)Time elapsed: 0.065 s
% 8.79/2.13 % (1625471)Peak memory usage: 90 MB
% 8.79/2.13 % (1625471)Instructions burned: 194 (million)
% 8.79/2.13 % (1625473)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2440147838:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 8.79/2.13 % (1625474)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=2897604849:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 8.79/2.13 % (1625472)Instruction limit reached!
% 8.79/2.13 % (1625472)------------------------------
% 8.79/2.13 % (1625472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.13 % (1625472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.13 % (1625472)CaDiCaL version: 2.1.3
% 8.79/2.13 % (1625472)Termination reason: Instruction limit
% 8.79/2.13 % (1625472)Termination phase: Saturation
% 8.79/2.13 % (1625472)Time elapsed: 0.096 s
% 8.79/2.13 % (1625472)Peak memory usage: 91 MB
% 8.79/2.13 % (1625472)Instructions burned: 157 (million)
% 8.79/2.13 % (1625474)Instruction limit reached!
% 8.79/2.13 % (1625474)------------------------------
% 8.79/2.13 % (1625474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.13 % (1625474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.13 % (1625474)CaDiCaL version: 2.1.3
% 8.79/2.13 % (1625474)Termination reason: Instruction limit
% 8.79/2.13 % (1625474)Termination phase: Saturation
% 8.79/2.13 % (1625474)Time elapsed: 0.058 s
% 8.79/2.13 % (1625474)Peak memory usage: 90 MB
% 8.79/2.13 % (1625474)Instructions burned: 107 (million)
% 8.79/2.13 % (1625477)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3398188451:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 8.79/2.13 % (1625477)Instruction limit reached!
% 8.79/2.13 % (1625477)------------------------------
% 8.79/2.13 % (1625477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.13 % (1625477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.13 % (1625477)CaDiCaL version: 2.1.3
% 8.79/2.13 % (1625477)Termination reason: Instruction limit
% 8.79/2.13 % (1625477)Termination phase: Saturation
% 8.79/2.13 % (1625477)Time elapsed: 0.034 s
% 8.79/2.13 % (1625477)Peak memory usage: 90 MB
% 8.79/2.13 % (1625477)Instructions burned: 108 (million)
% 8.79/2.13 % (1625480)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=986958703:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 8.79/2.13 % (1625483)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=292732648:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 8.79/2.13 % (1625482)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=163442822:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 8.79/2.13 % (1625483)Instruction limit reached!
% 8.79/2.13 % (1625483)------------------------------
% 8.79/2.13 % (1625483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.13 % (1625483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.13 % (1625483)CaDiCaL version: 2.1.3
% 8.79/2.13 % (1625483)Termination reason: Instruction limit
% 8.79/2.13 % (1625483)Termination phase: Saturation
% 8.79/2.13 % (1625483)Time elapsed: 0.049 s
% 8.79/2.13 % (1625483)Peak memory usage: 90 MB
% 8.79/2.13 % (1625483)Instructions burned: 135 (million)
% 8.79/2.13 % (1625487)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1785791570:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 8.79/2.13 % (1625480)Instruction limit reached!
% 8.79/2.13 % (1625480)------------------------------
% 8.79/2.13 % (1625480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.13 % (1625480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.13 % (1625480)CaDiCaL version: 2.1.3
% 8.79/2.13 % (1625480)Termination reason: Instruction limit
% 8.79/2.13 % (1625480)Termination phase: Saturation
% 8.79/2.13 % (1625480)Time elapsed: 0.155 s
% 8.79/2.13 % (1625480)Peak memory usage: 90 MB
% 8.79/2.13 % (1625480)Instructions burned: 242 (million)
% 8.79/2.13 % (1625449)First to succeed.
% 8.79/2.13 % (1625449)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1625444"
% 8.79/2.13 % (1625487)Instruction limit reached!
% 8.79/2.13 % (1625487)------------------------------
% 8.79/2.13 % (1625487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.13 % (1625487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.13 % (1625487)CaDiCaL version: 2.1.3
% 8.79/2.13 % (1625487)Termination reason: Instruction limit
% 8.79/2.13 % (1625487)Termination phase: Saturation
% 8.79/2.13 % (1625487)Time elapsed: 0.142 s
% 8.79/2.13 % (1625487)Peak memory usage: 101 MB
% 8.79/2.13 % (1625487)Instructions burned: 502 (million)
% 8.79/2.13 % (1625489)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2268787903:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 8.79/2.13 % (1625491)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3811573029:i=264:kws=precedence:fsr=off_2989 on theBenchmark for (2989ds/264Mi)
% 8.79/2.13 % (1625489)Instruction limit reached!
% 8.79/2.13 % (1625489)------------------------------
% 8.79/2.13 % (1625489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.13 % (1625489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.13 % (1625489)CaDiCaL version: 2.1.3
% 8.79/2.13 % (1625489)Termination reason: Instruction limit
% 8.79/2.13 % (1625489)Termination phase: Saturation
% 8.79/2.13 % (1625489)Time elapsed: 0.107 s
% 8.79/2.13 % (1625489)Peak memory usage: 92 MB
% 8.79/2.13 % (1625489)Instructions burned: 191 (million)
% 8.79/2.13 % (1625491)Instruction limit reached!
% 8.79/2.13 % (1625491)------------------------------
% 8.79/2.13 % (1625491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.13 % (1625491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.13 % (1625491)CaDiCaL version: 2.1.3
% 8.79/2.13 % (1625491)Termination reason: Instruction limit
% 8.79/2.13 % (1625491)Termination phase: Saturation
% 8.79/2.13 % (1625491)Time elapsed: 0.076 s
% 8.79/2.13 % (1625491)Peak memory usage: 91 MB
% 8.79/2.13 % (1625491)Instructions burned: 264 (million)
% 8.79/2.13 % (1625449)Refutation found. Thanks to Tanya!
% 8.79/2.13 % SZS status Unsatisfiable for theBenchmark
% 8.79/2.13 % SZS output start Proof for theBenchmark
% See solution above
% 9.68/2.35 % (1625449)------------------------------
% 9.68/2.35 % (1625449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.68/2.35 % (1625449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.68/2.35 % (1625449)CaDiCaL version: 2.1.3
% 9.68/2.35 % (1625449)Termination reason: Refutation
% 9.68/2.35 % (1625449)Time elapsed: 0.872 s
% 9.68/2.35 % (1625449)Peak memory usage: 133 MB
% 9.68/2.35 % (1625449)Instructions burned: 1318 (million)
% 9.68/2.35 % (1625449)------------------------------
% 9.68/2.35 % (1625449)------------------------------
% 9.68/2.35 % (1625444)Success in time 1.287 s
% 9.68/2.35 % Vampire exiting
%------------------------------------------------------------------------------