%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC113-1 : 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 : 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 01:02:30 PM UTC 2026
% Result : Unsatisfiable 6.60s 1.96s
% Output : Refutation 8.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 39
% Syntax : Number of formulae : 154 ( 22 unt; 12 def)
% Number of atoms : 448 ( 57 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 561 ( 267 ~; 283 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 12 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
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(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f79,axiom,
! [X0] :
( nil != X0
| ~ ssList(X0)
| segmentP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
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(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f126,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(reorient_equations,[],[f125]) ).
fof(f182,axiom,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
fof(f186,axiom,
! [X2,X3,X0,X1] :
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
fof(f187,axiom,
! [X2,X3,X0,X1] :
( app(app(X0,X1),X2) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
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(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
( ssItem(sk5)
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( ssItem(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
( sk3 = cons(sk5,nil)
| nil = sk4 ),
inference(reorient_equations,[],[f208]) ).
fof(f211,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f212,plain,
( sk3 = cons(sk5,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f211]) ).
fof(f213,negated_conjecture,
( memberP(sk4,sk5)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f215,negated_conjecture,
( nil = sk2
| ~ neq(sk1,nil)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f216,negated_conjecture,
( nil != sk1
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f217,negated_conjecture,
( nil != sk1
| ~ neq(sk1,nil)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f221,plain,
( nil = sk4
| ~ neq(sk3,nil)
| ~ segmentP(sk4,sk3) ),
inference(definition_unfolding,[],[f215,f204,f205,f204,f205]) ).
fof(f222,plain,
( nil != sk3
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f216,f205,f204]) ).
fof(f223,plain,
( nil != sk3
| ~ neq(sk3,nil)
| ~ segmentP(sk4,sk3) ),
inference(definition_unfolding,[],[f217,f205,f205,f204,f205]) ).
fof(f224,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f79]) ).
fof(f238,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X2) ),
inference(equality_resolution,[],[f187]) ).
fof(f248,definition,
sF0 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f249,plain,
cons(sk5,nil) = sF0,
inference(reorient_equations,[],[f248]) ).
fof(f250,plain,
( sk3 = sF0
| nil = sk4 ),
inference(definition_folding,[],[f209,f249]) ).
fof(f251,plain,
( sk3 = sF0
| nil = sk3 ),
inference(definition_folding,[],[f212,f249]) ).
fof(f259,definition,
( spl1_1
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f261,plain,
( ~ segmentP(sk4,sk3)
| spl1_1 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f263,definition,
( spl1_2
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f265,plain,
( ~ neq(sk3,nil)
| spl1_2 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f267,definition,
( spl1_3
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f268,plain,
( nil = sk3
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f269,plain,
( nil != sk3
| spl1_3 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f270,plain,
( ~ spl1_1
| ~ spl1_2
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f223,f267,f263,f259]) ).
fof(f272,definition,
( spl1_4
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f274,plain,
( neq(sk4,nil)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f275,plain,
( spl1_4
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f222,f267,f272]) ).
fof(f277,definition,
( spl1_5
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f279,plain,
( nil = sk4
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f280,plain,
( ~ spl1_1
| ~ spl1_2
| spl1_5 ),
inference(avatar_split_clause,[],[f221,f277,f263,f259]) ).
fof(f283,definition,
( spl1_6
<=> memberP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f285,plain,
( memberP(sk4,sk5)
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f286,plain,
( spl1_3
| spl1_6 ),
inference(avatar_split_clause,[],[f213,f283,f267]) ).
fof(f288,definition,
( spl1_7
<=> sk3 = sF0 ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f290,plain,
( sk3 = sF0
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f291,plain,
( spl1_3
| spl1_7 ),
inference(avatar_split_clause,[],[f251,f288,f267]) ).
fof(f293,plain,
( spl1_5
| spl1_7 ),
inference(avatar_split_clause,[],[f250,f288,f277]) ).
fof(f295,definition,
( spl1_8
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f297,plain,
( ssItem(sk5)
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f298,plain,
( spl1_3
| spl1_8 ),
inference(avatar_split_clause,[],[f207,f295,f267]) ).
fof(f299,plain,
( spl1_5
| spl1_8 ),
inference(avatar_split_clause,[],[f206,f295,f277]) ).
fof(f305,definition,
( spl1_10
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f306,plain,
( ssList(nil)
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f328,definition,
( spl1_15
<=> segmentP(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl1_15])],[avatar_definition]) ).
fof(f330,plain,
( segmentP(nil,nil)
| ~ spl1_15 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f331,plain,
( spl1_15
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f224,f305,f328]) ).
fof(f341,plain,
spl1_10,
inference(avatar_split_clause,[],[f8,f305]) ).
fof(f342,plain,
( ~ neq(nil,nil)
| spl1_2
| ~ spl1_3 ),
inference(superposition,[],[f265,f268]) ).
fof(f343,plain,
( neq(nil,nil)
| ~ spl1_4
| ~ spl1_5 ),
inference(superposition,[],[f274,f279]) ).
fof(f344,plain,
( $false
| spl1_2
| ~ spl1_3
| ~ spl1_4
| ~ spl1_5 ),
inference(forward_subsumption_resolution,[],[f343,f342]) ).
fof(f345,plain,
( spl1_2
| ~ spl1_3
| ~ spl1_4
| ~ spl1_5 ),
inference(avatar_contradiction_clause,[],[f344]) ).
fof(f346,plain,
( nil = sF0
| ~ spl1_3
| ~ spl1_7 ),
inference(forward_demodulation,[],[f290,f268]) ).
fof(f347,plain,
( nil != sF0
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[],[f99,f249]) ).
fof(f348,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl1_3
| ~ spl1_7 ),
inference(forward_subsumption_resolution,[],[f347,f346]) ).
fof(f352,plain,
( ~ ssList(nil)
| ~ spl1_3
| ~ spl1_7
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f348,f297]) ).
fof(f353,plain,
( $false
| ~ spl1_3
| ~ spl1_7
| ~ spl1_8
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f352,f306]) ).
fof(f354,plain,
( ~ spl1_3
| ~ spl1_7
| ~ spl1_8
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f353]) ).
fof(f355,plain,
( ~ segmentP(sk4,nil)
| spl1_1
| ~ spl1_3 ),
inference(forward_demodulation,[],[f261,f268]) ).
fof(f359,plain,
( ~ segmentP(nil,nil)
| spl1_1
| ~ spl1_3
| ~ spl1_5 ),
inference(forward_demodulation,[],[f355,f279]) ).
fof(f360,plain,
( $false
| spl1_1
| ~ spl1_3
| ~ spl1_5
| ~ spl1_15 ),
inference(forward_subsumption_resolution,[],[f359,f330]) ).
fof(f361,plain,
( spl1_1
| ~ spl1_3
| ~ spl1_5
| ~ spl1_15 ),
inference(avatar_contradiction_clause,[],[f360]) ).
fof(f364,plain,
( memberP(nil,sk5)
| ~ spl1_5
| ~ spl1_6 ),
inference(superposition,[],[f285,f279]) ).
fof(f366,plain,
( ~ ssItem(sk5)
| ~ spl1_5
| ~ spl1_6 ),
inference(resolution,[],[f364,f71]) ).
fof(f367,plain,
( $false
| ~ spl1_5
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f366,f297]) ).
fof(f368,plain,
( ~ spl1_5
| ~ spl1_6
| ~ spl1_8 ),
inference(avatar_contradiction_clause,[],[f367]) ).
fof(f370,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f74,f202]) ).
fof(f371,plain,
! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) ),
inference(superposition,[],[f238,f370]) ).
fof(f372,plain,
! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f371,f85]) ).
fof(f373,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(sk3)
| ~ ssList(X0) )
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f372,f306]) ).
fof(f374,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(X0) )
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f373,f202]) ).
fof(f383,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f203,f73]) ).
fof(f397,plain,
( ~ ssItem(sk5)
| ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_6 ),
inference(resolution,[],[f182,f285]) ).
fof(f398,plain,
( ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f397,f297]) ).
fof(f399,plain,
( sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f398,f203]) ).
fof(f409,definition,
( spl1_18
<=> ssList(cons(sk5,skaf43(sk5,sk4))) ),
introduced(definition,[new_symbols(definition,[spl1_18])],[avatar_definition]) ).
fof(f410,plain,
( ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_18 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f411,plain,
( ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| spl1_18 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f416,plain,
( ~ ssList(skaf43(sk5,sk4))
| ~ ssItem(sk5)
| spl1_18 ),
inference(resolution,[],[f411,f86]) ).
fof(f417,plain,
( ~ ssItem(sk5)
| spl1_18 ),
inference(forward_subsumption_resolution,[],[f416,f52]) ).
fof(f418,plain,
( $false
| ~ spl1_8
| spl1_18 ),
inference(forward_subsumption_resolution,[],[f417,f297]) ).
fof(f419,plain,
( ~ spl1_8
| spl1_18 ),
inference(avatar_contradiction_clause,[],[f418]) ).
fof(f431,plain,
( ! [X0,X1] :
( segmentP(app(sk4,X0),X1)
| ~ ssList(X0)
| ~ ssList(skaf42(sk4,sk5))
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1) )
| ~ spl1_6
| ~ spl1_8 ),
inference(superposition,[],[f186,f399]) ).
fof(f436,plain,
( ! [X0,X1] :
( segmentP(app(sk4,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1) )
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f431,f53]) ).
fof(f441,plain,
( ! [X0,X1] :
( ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(sk4,X0),X1) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_18 ),
inference(forward_subsumption_resolution,[],[f436,f410]) ).
fof(f447,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) = app(cons(sk5,nil),X0) )
| ~ spl1_8 ),
inference(resolution,[],[f126,f297]) ).
fof(f448,plain,
( ! [X0] :
( cons(sk5,X0) = app(sF0,X0)
| ~ ssList(X0) )
| ~ spl1_8 ),
inference(forward_demodulation,[],[f447,f249]) ).
fof(f449,plain,
( ! [X0] :
( ~ ssList(X0)
| app(sk3,X0) = cons(sk5,X0) )
| ~ spl1_7
| ~ spl1_8 ),
inference(forward_demodulation,[],[f448,f290]) ).
fof(f466,plain,
( ! [X0,X1] : app(sk3,skaf43(X0,X1)) = cons(sk5,skaf43(X0,X1))
| ~ spl1_7
| ~ spl1_8 ),
inference(resolution,[],[f52,f449]) ).
fof(f469,plain,
( ! [X0,X1] :
( ~ segmentP(app(sk3,skaf43(sk5,sk4)),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(sk4,X1),X0) )
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_18 ),
inference(superposition,[],[f441,f466]) ).
fof(f481,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sk3)
| segmentP(app(sk4,X0),sk3)
| ~ ssList(skaf43(sk5,sk4)) )
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_10
| ~ spl1_18 ),
inference(resolution,[],[f469,f374]) ).
fof(f485,plain,
( ! [X0] :
( ~ ssList(X0)
| segmentP(app(sk4,X0),sk3)
| ~ ssList(skaf43(sk5,sk4)) )
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_10
| ~ spl1_18 ),
inference(forward_subsumption_resolution,[],[f481,f202]) ).
fof(f486,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(X0) )
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_10
| ~ spl1_18 ),
inference(forward_subsumption_resolution,[],[f485,f52]) ).
fof(f487,plain,
( segmentP(sk4,sk3)
| ~ ssList(nil)
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_10
| ~ spl1_18 ),
inference(superposition,[],[f486,f383]) ).
fof(f488,plain,
( ~ ssList(nil)
| spl1_1
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_10
| ~ spl1_18 ),
inference(forward_subsumption_resolution,[],[f487,f261]) ).
fof(f489,plain,
( $false
| spl1_1
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_10
| ~ spl1_18 ),
inference(forward_subsumption_resolution,[],[f488,f306]) ).
fof(f490,plain,
( spl1_1
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_10
| ~ spl1_18 ),
inference(avatar_contradiction_clause,[],[f489]) ).
fof(f491,plain,
( ~ ssList(sk3)
| ~ ssList(nil)
| nil = sk3
| spl1_2 ),
inference(resolution,[],[f265,f102]) ).
fof(f492,plain,
( ~ ssList(nil)
| nil = sk3
| spl1_2 ),
inference(forward_subsumption_resolution,[],[f491,f202]) ).
fof(f493,plain,
( nil = sk3
| spl1_2
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f492,f306]) ).
fof(f494,plain,
( $false
| spl1_2
| spl1_3
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f493,f269]) ).
fof(f495,plain,
( spl1_2
| spl1_3
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f494]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2
| ~ spl1_3 ),
inference(sat_conversion,[],[f270]) ).
cnf(s2,plain,
( ~ spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f275]) ).
cnf(s3,plain,
( ~ spl1_1
| ~ spl1_2
| spl1_5 ),
inference(sat_conversion,[],[f280]) ).
cnf(s5,plain,
( spl1_3
| spl1_6 ),
inference(sat_conversion,[],[f286]) ).
cnf(s6,plain,
( spl1_3
| spl1_7 ),
inference(sat_conversion,[],[f291]) ).
cnf(s8,plain,
( spl1_5
| spl1_7 ),
inference(sat_conversion,[],[f293]) ).
cnf(s9,plain,
( spl1_3
| spl1_8 ),
inference(sat_conversion,[],[f298]) ).
cnf(s10,plain,
( spl1_5
| spl1_8 ),
inference(sat_conversion,[],[f299]) ).
cnf(s16,plain,
( ~ spl1_10
| spl1_15 ),
inference(sat_conversion,[],[f331]) ).
cnf(s20,plain,
spl1_10,
inference(sat_conversion,[],[f341]) ).
cnf(s21,plain,
( spl1_2
| ~ spl1_3
| ~ spl1_4
| ~ spl1_5 ),
inference(sat_conversion,[],[f345]) ).
cnf(s23,plain,
( ~ spl1_3
| ~ spl1_7
| ~ spl1_8
| ~ spl1_10 ),
inference(sat_conversion,[],[f354]) ).
cnf(s24,plain,
( spl1_1
| ~ spl1_3
| ~ spl1_5
| ~ spl1_15 ),
inference(sat_conversion,[],[f361]) ).
cnf(s25,plain,
( ~ spl1_5
| ~ spl1_6
| ~ spl1_8 ),
inference(sat_conversion,[],[f368]) ).
cnf(s27,plain,
( ~ spl1_8
| spl1_18 ),
inference(sat_conversion,[],[f419]) ).
cnf(s28,plain,
( spl1_1
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_10
| ~ spl1_18 ),
inference(sat_conversion,[],[f490]) ).
cnf(s29,plain,
( spl1_2
| spl1_3
| ~ spl1_10 ),
inference(sat_conversion,[],[f495]) ).
cnf(s30,plain,
spl1_15,
inference(rat,[],[s16,s20]) ).
cnf(s34,plain,
( ~ spl1_3
| spl1_1 ),
inference(rat,[],[s23,s8,s10,s24,s30,s20]) ).
cnf(s35,plain,
spl1_1,
inference(rat,[],[s28,s27,s5,s6,s9,s34,s20]) ).
cnf(s36,plain,
( ~ spl1_4
| spl1_2
| ~ spl1_3 ),
inference(rat,[],[s23,s8,s10,s21,s20]) ).
cnf(s37,plain,
~ spl1_3,
inference(rat,[],[s36,s1,s2,s35]) ).
cnf(s38,plain,
spl1_2,
inference(rat,[],[s29,s20,s37]) ).
cnf(s39,plain,
spl1_8,
inference(rat,[],[s9,s37]) ).
cnf(s41,plain,
spl1_6,
inference(rat,[],[s5,s37]) ).
cnf(s42,plain,
spl1_5,
inference(rat,[],[s3,s35,s38]) ).
cnf(s45,plain,
$false,
inference(rat,[],[s25,s39,s42,s41]) ).
fof(f496,plain,
$false,
inference(avatar_sat_refutation,[],[s45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC113-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n003.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 07:57:42 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 6.60/1.96 % (1418846)Input is clausal, will run a generic CNF schedule.
% 6.60/1.96 % (1418852)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=728415921:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.60/1.96 % (1418855)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=954502537:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.60/1.96 % (1418853)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4265209580:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.60/1.96 % (1418854)lrs+10_1_sil=8000:sp=occurrence:random_seed=3854450080:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.60/1.96 % (1418851)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=2639601738:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.60/1.96 % (1418856)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1239704424:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.60/1.96 % (1418857)dis-21_1_sil=8000:lcm=predicate:random_seed=1373345146: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)
% 6.60/1.96 % (1418857)Instruction limit reached!
% 6.60/1.96 % (1418857)------------------------------
% 6.60/1.96 % (1418857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.96 % (1418857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.96 % (1418857)CaDiCaL version: 2.1.3
% 6.60/1.96 % (1418857)Termination reason: Instruction limit
% 6.60/1.96 % (1418857)Termination phase: Saturation
% 6.60/1.96 % (1418857)Time elapsed: 0.050 s
% 6.60/1.96 % (1418857)Peak memory usage: 89 MB
% 6.60/1.96 % (1418857)Instructions burned: 119 (million)
% 6.60/1.96 % (1418854)Instruction limit reached!
% 6.60/1.96 % (1418854)------------------------------
% 6.60/1.96 % (1418854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.96 % (1418854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.96 % (1418854)CaDiCaL version: 2.1.3
% 6.60/1.96 % (1418854)Termination reason: Instruction limit
% 6.60/1.96 % (1418854)Termination phase: Saturation
% 6.60/1.96 % (1418854)Time elapsed: 0.066 s
% 6.60/1.96 % (1418854)Peak memory usage: 89 MB
% 6.60/1.96 % (1418854)Instructions burned: 107 (million)
% 6.60/1.96 % (1418855)Instruction limit reached!
% 6.60/1.96 % (1418855)------------------------------
% 6.60/1.96 % (1418855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.96 % (1418855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.96 % (1418855)CaDiCaL version: 2.1.3
% 6.60/1.96 % (1418855)Termination reason: Instruction limit
% 6.60/1.96 % (1418855)Termination phase: Saturation
% 6.60/1.96 % (1418855)Time elapsed: 0.068 s
% 6.60/1.96 % (1418855)Peak memory usage: 89 MB
% 6.60/1.96 % (1418855)Instructions burned: 114 (million)
% 6.60/1.96 % (1418856)Instruction limit reached!
% 6.60/1.96 % (1418856)------------------------------
% 6.60/1.96 % (1418856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.96 % (1418856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.96 % (1418856)CaDiCaL version: 2.1.3
% 6.60/1.96 % (1418856)Termination reason: Instruction limit
% 6.60/1.96 % (1418856)Termination phase: Saturation
% 6.60/1.96 % (1418856)Time elapsed: 0.125 s
% 6.60/1.96 % (1418856)Peak memory usage: 90 MB
% 6.60/1.96 % (1418856)Instructions burned: 181 (million)
% 6.60/1.96 % (1418867)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3141517023:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.60/1.96 % (1418865)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=3938449978:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.60/1.96 % (1418866)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4120534128: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)
% 6.60/1.96 % (1418868)lrs+10_64_to=lpo:sil=8000:random_seed=4262944667:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.60/1.96 % (1418865)Instruction limit reached!
% 6.60/1.96 % (1418865)------------------------------
% 6.60/1.96 % (1418865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.96 % (1418865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.96 % (1418865)CaDiCaL version: 2.1.3
% 6.60/1.96 % (1418865)Termination reason: Instruction limit
% 6.60/1.96 % (1418865)Termination phase: Saturation
% 6.60/1.96 % (1418865)Time elapsed: 0.092 s
% 6.60/1.96 % (1418865)Peak memory usage: 89 MB
% 6.60/1.96 % (1418865)Instructions burned: 143 (million)
% 6.60/1.96 % (1418866)Instruction limit reached!
% 6.60/1.96 % (1418866)------------------------------
% 6.60/1.96 % (1418866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.96 % (1418866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.96 % (1418866)CaDiCaL version: 2.1.3
% 6.60/1.96 % (1418866)Termination reason: Instruction limit
% 6.60/1.96 % (1418866)Termination phase: Saturation
% 6.60/1.96 % (1418866)Time elapsed: 0.097 s
% 6.60/1.96 % (1418866)Peak memory usage: 91 MB
% 6.60/1.96 % (1418866)Instructions burned: 189 (million)
% 6.60/1.96 % (1418868)Instruction limit reached!
% 6.60/1.96 % (1418868)------------------------------
% 6.60/1.96 % (1418868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.96 % (1418868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.96 % (1418868)CaDiCaL version: 2.1.3
% 6.60/1.96 % (1418868)Termination reason: Instruction limit
% 6.60/1.96 % (1418868)Termination phase: Saturation
% 6.60/1.96 % (1418868)Time elapsed: 0.066 s
% 6.60/1.96 % (1418868)Peak memory usage: 90 MB
% 6.60/1.96 % (1418868)Instructions burned: 127 (million)
% 6.60/1.96 % (1418867)Instruction limit reached!
% 6.60/1.96 % (1418867)------------------------------
% 6.60/1.96 % (1418867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.96 % (1418867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.96 % (1418867)CaDiCaL version: 2.1.3
% 6.60/1.96 % (1418867)Termination reason: Instruction limit
% 6.60/1.96 % (1418867)Termination phase: Saturation
% 6.60/1.96 % (1418867)Time elapsed: 0.141 s
% 6.60/1.96 % (1418867)Peak memory usage: 90 MB
% 6.60/1.96 % (1418867)Instructions burned: 219 (million)
% 6.60/1.96 % (1418874)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1835326388:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.60/1.96 % (1418873)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3025927386:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.60/1.96 % (1418875)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3279774230:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.60/1.96 % (1418876)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=3700840507:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 6.60/1.96 % (1418874)Instruction limit reached!
% 6.60/1.96 % (1418874)------------------------------
% 6.60/1.96 % (1418874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.96 % (1418874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.96 % (1418874)CaDiCaL version: 2.1.3
% 6.60/1.96 % (1418874)Termination reason: Instruction limit
% 6.60/1.96 % (1418874)Termination phase: Saturation
% 6.60/1.96 % (1418874)Time elapsed: 0.087 s
% 6.60/1.96 % (1418874)Peak memory usage: 91 MB
% 6.60/1.96 % (1418874)Instructions burned: 157 (million)
% 6.60/1.96 % (1418876)Instruction limit reached!
% 6.60/1.96 % (1418876)------------------------------
% 6.60/1.96 % (1418876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.96 % (1418876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.96 % (1418876)CaDiCaL version: 2.1.3
% 6.60/1.96 % (1418876)Termination reason: Instruction limit
% 6.60/1.96 % (1418876)Termination phase: Saturation
% 6.60/1.96 % (1418876)Time elapsed: 0.059 s
% 6.60/1.96 % (1418876)Peak memory usage: 89 MB
% 6.60/1.96 % (1418876)Instructions burned: 106 (million)
% 6.60/1.96 % (1418873)Instruction limit reached!
% 6.60/1.96 % (1418873)------------------------------
% 6.60/1.96 % (1418873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.96 % (1418873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.96 % (1418873)CaDiCaL version: 2.1.3
% 6.60/1.96 % (1418873)Termination reason: Instruction limit
% 6.60/1.96 % (1418873)Termination phase: Saturation
% 6.60/1.96 % (1418873)Time elapsed: 0.124 s
% 6.60/1.96 % (1418873)Peak memory usage: 90 MB
% 6.60/1.96 % (1418873)Instructions burned: 194 (million)
% 6.60/1.96 % (1418881)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2391877675:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 6.60/1.96 % (1418882)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=229689919:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 6.60/1.96 % (1418883)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4215091643:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 6.60/1.96 % (1418851)First to succeed.
% 6.60/1.96 % (1418851)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1418846"
% 6.60/1.96 % (1418853)Also succeeded, but the first one will report.
% 6.60/1.96 % (1418881)Instruction limit reached!
% 6.60/1.96 % (1418881)------------------------------
% 6.60/1.96 % (1418881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.96 % (1418881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.96 % (1418881)CaDiCaL version: 2.1.3
% 6.60/1.96 % (1418881)Termination reason: Instruction limit
% 6.60/1.96 % (1418881)Termination phase: Saturation
% 6.60/1.96 % (1418881)Time elapsed: 0.065 s
% 6.60/1.96 % (1418881)Peak memory usage: 90 MB
% 6.60/1.96 % (1418881)Instructions burned: 107 (million)
% 6.60/1.96 % (1418882)Instruction limit reached!
% 6.60/1.96 % (1418882)------------------------------
% 6.60/1.96 % (1418882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.96 % (1418882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.96 % (1418882)CaDiCaL version: 2.1.3
% 6.60/1.96 % (1418882)Termination reason: Instruction limit
% 6.60/1.96 % (1418882)Termination phase: Saturation
% 6.60/1.96 % (1418882)Time elapsed: 0.155 s
% 6.60/1.96 % (1418882)Peak memory usage: 90 MB
% 6.60/1.96 % (1418882)Instructions burned: 243 (million)
% 6.60/1.96 % (1418887)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2431952116:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 6.60/1.96 % (1418887)Instruction limit reached!
% 6.60/1.96 % (1418887)------------------------------
% 6.60/1.96 % (1418887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.96 % (1418887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.96 % (1418887)CaDiCaL version: 2.1.3
% 6.60/1.96 % (1418887)Termination reason: Instruction limit
% 6.60/1.96 % (1418887)Termination phase: Saturation
% 6.60/1.96 % (1418887)Time elapsed: 0.054 s
% 6.60/1.96 % (1418887)Peak memory usage: 88 MB
% 6.60/1.96 % (1418887)Instructions burned: 134 (million)
% 6.60/1.96 % (1418888)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=126515875:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 6.60/1.96 % (1418851)Refutation found. Thanks to Tanya!
% 6.60/1.96 % SZS status Unsatisfiable for theBenchmark
% 6.60/1.96 % SZS output start Proof for theBenchmark
% See solution above
% 8.38/2.15 % (1418851)------------------------------
% 8.38/2.15 % (1418851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/2.15 % (1418851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/2.15 % (1418851)CaDiCaL version: 2.1.3
% 8.38/2.15 % (1418851)Termination reason: Refutation
% 8.38/2.15 % (1418851)Time elapsed: 0.693 s
% 8.38/2.15 % (1418851)Peak memory usage: 131 MB
% 8.38/2.15 % (1418851)Instructions burned: 1001 (million)
% 8.38/2.15 % (1418851)------------------------------
% 8.38/2.15 % (1418851)------------------------------
% 8.38/2.15 % (1418846)Success in time 1.103 s
% 8.38/2.15 % Vampire exiting
%------------------------------------------------------------------------------