%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC126-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 01:04:46 PM UTC 2026
% Result : Unsatisfiable 7.52s 3.05s
% Output : Refutation 7.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 41
% Syntax : Number of formulae : 172 ( 31 unt; 15 def)
% Number of atoms : 506 ( 39 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 641 ( 307 ~; 319 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 16 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 111 ( 0 sgn 111 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause50) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause52) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause53) ).
fof(f59,axiom,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause59) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause72) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f98,axiom,
! [X0,X1] :
( cons(X0,X1) != nil
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',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/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,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/sandbox/benchmark/Axioms/SWC001-0.ax',clause120) ).
fof(f126,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(reorient_equations,[],[f125]) ).
fof(f142,axiom,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause131) ).
fof(f164,axiom,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause152) ).
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/sandbox/benchmark/Axioms/SWC001-0.ax',clause169) ).
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/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).
fof(f193,axiom,
! [X2,X3,X0,X1,X4] :
( app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ duplicatefreeP(X4)
| ~ ssList(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause179) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f213,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f214,negated_conjecture,
( cons(sk5,nil) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f215,plain,
( sk3 = cons(sk5,nil)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f214]) ).
fof(f216,negated_conjecture,
( memberP(sk4,sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f217,negated_conjecture,
( ~ neq(sk1,nil)
| ~ segmentP(sk2,sk1)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f220,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f206,f204,f204]) ).
fof(f226,plain,
( ~ neq(sk3,nil)
| ~ segmentP(sk4,sk3)
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f217,f205,f204,f205]) ).
fof(f241,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f187]) ).
fof(f244,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3))) ),
inference(equality_resolution,[],[f193]) ).
fof(f286,plain,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ~ ssItem(X1) ),
inference(consistent_polarity_flipping,[],[f72]) ).
fof(f293,plain,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f86]) ).
fof(f304,plain,
! [X0,X1] :
( nil != cons(X0,X1)
| ssItem(X0)
| ~ ssList(X1) ),
inference(consistent_polarity_flipping,[],[f99]) ).
fof(f306,plain,
! [X0,X1] :
( ~ neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f102]) ).
fof(f321,plain,
! [X0,X1] :
( ~ ssList(X1)
| ssItem(X0)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(consistent_polarity_flipping,[],[f126]) ).
fof(f342,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X2)
| segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X0,X1) ),
inference(consistent_polarity_flipping,[],[f164]) ).
fof(f355,plain,
! [X0,X1] :
( memberP(X0,X1)
| ssItem(X1)
| ~ ssList(X0)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
inference(consistent_polarity_flipping,[],[f182]) ).
fof(f359,plain,
! [X2,X0,X1] :
( ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(app(app(X0,X1),X2),X1) ),
inference(consistent_polarity_flipping,[],[f241]) ).
fof(f364,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ssItem(X1)
| ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3))) ),
inference(consistent_polarity_flipping,[],[f244]) ).
fof(f371,plain,
( ~ neq(sk4,nil)
| ~ neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f220]) ).
fof(f377,plain,
( ~ ssItem(sk5)
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f213]) ).
fof(f378,plain,
( sk3 = cons(sk5,nil)
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f215]) ).
fof(f379,plain,
( ~ memberP(sk4,sk5)
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f216]) ).
fof(f380,plain,
( neq(sk3,nil)
| segmentP(sk4,sk3)
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f226]) ).
fof(f381,plain,
~ neq(sk4,nil),
inference(duplicate_literal_removal,[],[f371]) ).
fof(f389,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f393,definition,
( spl0_2
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f395,plain,
( segmentP(sk4,sk3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f397,definition,
( spl0_3
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f399,plain,
( neq(sk3,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f400,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f380,f397,f393,f389]) ).
fof(f402,definition,
( spl0_4
<=> memberP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f404,plain,
( ~ memberP(sk4,sk5)
| spl0_4 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f405,plain,
( spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f379,f402,f389]) ).
fof(f407,definition,
( spl0_5
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f409,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f410,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f378,f407,f389]) ).
fof(f412,definition,
( spl0_6
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f414,plain,
( ~ ssItem(sk5)
| spl0_6 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f415,plain,
( spl0_1
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f377,f412,f389]) ).
fof(f420,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f381,f389]) ).
fof(f426,definition,
( spl0_8
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f427,plain,
( ssList(nil)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f454,definition,
( spl0_14
<=> ! [X1] : ~ ssItem(X1) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f455,plain,
( ! [X1] : ~ ssItem(X1)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f457,definition,
( spl0_15
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f458,plain,
( ! [X0] :
( duplicatefreeP(X0)
| ~ ssList(X0) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f459,plain,
( spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f286,f457,f454]) ).
fof(f462,plain,
spl0_8,
inference(avatar_split_clause,[],[f8,f426]) ).
fof(f511,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f203]) ).
fof(f568,plain,
( ! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1) )
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f293,f455]) ).
fof(f664,plain,
( ~ ssList(sk3)
| ~ ssList(nil)
| nil = sk3
| ~ spl0_3 ),
inference(resolution,[],[f306,f399]) ).
fof(f667,plain,
( ~ ssList(nil)
| nil = sk3
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f664,f202]) ).
fof(f668,plain,
( nil = sk3
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f667,f427]) ).
fof(f850,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) )
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f321,f455]) ).
fof(f877,plain,
( ! [X2,X0,X1] : cons(X0,skaf43(X1,X2)) = app(cons(X0,nil),skaf43(X1,X2))
| ~ spl0_14 ),
inference(resolution,[],[f850,f52]) ).
fof(f907,definition,
( spl0_19
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f961,plain,
( nil != sk3
| ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_5 ),
inference(superposition,[],[f304,f409]) ).
fof(f1060,plain,
( spl0_19
| ~ spl0_3
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f668,f426,f397,f907]) ).
fof(f1062,plain,
( nil != sk3
| ~ ssList(nil)
| ~ spl0_5
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f961,f414]) ).
fof(f1066,plain,
( nil != sk3
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f1062,f427]) ).
fof(f1069,plain,
( ~ spl0_19
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1066,f426,f412,f407,f907]) ).
fof(f1402,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(X0)
| app(skaf46(X0,X0),X0) = X0
| ~ ssList(X0) ),
inference(resolution,[],[f142,f59]) ).
fof(f1405,plain,
! [X0] :
( ~ ssList(X0)
| app(skaf46(X0,X0),X0) = X0 ),
inference(duplicate_literal_removal,[],[f1402]) ).
fof(f1600,plain,
( ! [X0] :
( segmentP(X0,sk3)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(sk4)
| segmentP(sk4,X0) )
| ~ spl0_2 ),
inference(resolution,[],[f342,f395]) ).
fof(f1602,plain,
( ! [X0] :
( segmentP(X0,sk3)
| ~ ssList(X0)
| ~ ssList(sk4)
| segmentP(sk4,X0) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f1600,f202]) ).
fof(f1604,plain,
( ! [X0] :
( ~ ssList(X0)
| segmentP(X0,sk3)
| segmentP(sk4,X0) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f1602,f203]) ).
fof(f1891,plain,
( ssItem(sk5)
| ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| spl0_4 ),
inference(resolution,[],[f355,f404]) ).
fof(f1902,plain,
( ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| spl0_4
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f1891,f414]) ).
fof(f1912,plain,
( sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| spl0_4
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f1902,f203]) ).
fof(f2253,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X2)
| ~ ssList(X0)
| ssItem(X1)
| ~ ssList(X3) )
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f364,f458]) ).
fof(f2266,plain,
( ! [X0,X1] :
( ~ ssList(app(app(X0,cons(sk5,X1)),sk3))
| ~ ssList(X1)
| ~ ssList(X0)
| ssItem(sk5)
| ~ ssList(nil) )
| ~ spl0_5
| ~ spl0_15 ),
inference(superposition,[],[f2253,f409]) ).
fof(f2267,plain,
( ! [X0,X1] :
( ~ ssList(app(app(X0,cons(sk5,X1)),sk3))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl0_5
| spl0_6
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f2266,f414]) ).
fof(f2280,plain,
( ! [X0,X1] :
( ~ ssList(app(app(X0,cons(sk5,X1)),sk3))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_5
| spl0_6
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f2267,f427]) ).
fof(f3605,definition,
( spl0_67
<=> ssList(app(sk4,sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f3606,plain,
( ssList(app(sk4,sk3))
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f3605]) ).
fof(f3607,plain,
( ~ ssList(app(sk4,sk3))
| spl0_67 ),
inference(avatar_component_clause,[],[f3605]) ).
fof(f3613,plain,
( ~ ssList(sk4)
| ~ ssList(sk3)
| spl0_67 ),
inference(resolution,[],[f3607,f85]) ).
fof(f3614,plain,
( ~ ssList(sk3)
| spl0_67 ),
inference(forward_subsumption_resolution,[],[f3613,f203]) ).
fof(f3615,plain,
( $false
| spl0_67 ),
inference(forward_subsumption_resolution,[],[f3614,f202]) ).
fof(f3616,plain,
spl0_67,
inference(avatar_contradiction_clause,[],[f3615]) ).
fof(f5713,plain,
( ! [X0] :
( ~ ssList(app(sk4,X0))
| ~ ssList(skaf42(sk4,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(X0)
| ~ segmentP(app(sk4,X0),cons(sk5,skaf43(sk5,sk4))) )
| spl0_4
| spl0_6 ),
inference(superposition,[],[f359,f1912]) ).
fof(f5718,plain,
( ! [X0] :
( ~ ssList(app(sk4,X0))
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(X0)
| ~ segmentP(app(sk4,X0),cons(sk5,skaf43(sk5,sk4))) )
| spl0_4
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f5713,f53]) ).
fof(f5726,definition,
( spl0_159
<=> ssList(cons(sk5,skaf43(sk5,sk4))) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
fof(f5727,plain,
( ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f5726]) ).
fof(f5728,plain,
( ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| spl0_159 ),
inference(avatar_component_clause,[],[f5726]) ).
fof(f5740,definition,
( spl0_162
<=> ! [X0] :
( ~ ssList(app(sk4,X0))
| ~ segmentP(app(sk4,X0),cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
fof(f5741,plain,
( ! [X0] :
( ~ segmentP(app(sk4,X0),cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(app(sk4,X0))
| ~ ssList(X0) )
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f5740]) ).
fof(f5742,plain,
( ~ spl0_159
| spl0_162
| spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f5718,f412,f402,f5740,f5726]) ).
fof(f5970,plain,
( ~ ssList(app(sk4,sk3))
| ~ ssList(skaf43(sk5,sk4))
| ~ ssList(skaf42(sk4,sk5))
| spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_8
| ~ spl0_15 ),
inference(superposition,[],[f2280,f1912]) ).
fof(f5971,plain,
( ~ ssList(skaf43(sk5,sk4))
| ~ ssList(skaf42(sk4,sk5))
| spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f5970,f3606]) ).
fof(f5974,plain,
( ~ ssList(skaf42(sk4,sk5))
| spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f5971,f52]) ).
fof(f5975,plain,
( $false
| spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f5974,f53]) ).
fof(f5976,plain,
( spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_67 ),
inference(avatar_contradiction_clause,[],[f5975]) ).
fof(f11626,plain,
( ~ ssList(skaf43(sk5,sk4))
| ~ spl0_14
| spl0_159 ),
inference(resolution,[],[f5728,f568]) ).
fof(f11627,plain,
( $false
| ~ spl0_14
| spl0_159 ),
inference(forward_subsumption_resolution,[],[f11626,f52]) ).
fof(f11628,plain,
( ~ spl0_14
| spl0_159 ),
inference(avatar_contradiction_clause,[],[f11627]) ).
fof(f11659,plain,
( segmentP(cons(sk5,skaf43(sk5,sk4)),sk3)
| segmentP(sk4,cons(sk5,skaf43(sk5,sk4)))
| ~ spl0_2
| ~ spl0_159 ),
inference(resolution,[],[f5727,f1604]) ).
fof(f11671,definition,
( spl0_201
<=> segmentP(sk4,cons(sk5,skaf43(sk5,sk4))) ),
introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).
fof(f11673,plain,
( segmentP(sk4,cons(sk5,skaf43(sk5,sk4)))
| ~ spl0_201 ),
inference(avatar_component_clause,[],[f11671]) ).
fof(f11675,definition,
( spl0_202
<=> segmentP(cons(sk5,skaf43(sk5,sk4)),sk3) ),
introduced(definition,[new_symbols(definition,[spl0_202])],[avatar_definition]) ).
fof(f11677,plain,
( segmentP(cons(sk5,skaf43(sk5,sk4)),sk3)
| ~ spl0_202 ),
inference(avatar_component_clause,[],[f11675]) ).
fof(f11678,plain,
( spl0_201
| spl0_202
| ~ spl0_2
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f11659,f5726,f393,f11675,f11671]) ).
fof(f13650,plain,
sk3 = app(skaf46(sk3,sk3),sk3),
inference(resolution,[],[f1405,f202]) ).
fof(f18008,plain,
( ! [X0,X1] : app(sk3,skaf43(X0,X1)) = cons(sk5,skaf43(X0,X1))
| ~ spl0_5
| ~ spl0_14 ),
inference(superposition,[],[f877,f409]) ).
fof(f19792,plain,
! [X0] :
( ~ ssList(app(sk3,X0))
| ~ ssList(skaf46(sk3,sk3))
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ segmentP(app(sk3,X0),sk3) ),
inference(superposition,[],[f359,f13650]) ).
fof(f19803,plain,
! [X0] :
( ~ ssList(skaf46(sk3,sk3))
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ segmentP(app(sk3,X0),sk3) ),
inference(forward_subsumption_resolution,[],[f19792,f85]) ).
fof(f19812,plain,
! [X0] :
( ~ ssList(sk3)
| ~ ssList(X0)
| ~ segmentP(app(sk3,X0),sk3) ),
inference(forward_subsumption_resolution,[],[f19803,f50]) ).
fof(f19816,plain,
! [X0] :
( ~ segmentP(app(sk3,X0),sk3)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f19812,f202]) ).
fof(f57746,plain,
( ! [X0,X1] :
( ~ segmentP(cons(sk5,skaf43(X0,X1)),sk3)
| ~ ssList(skaf43(X0,X1)) )
| ~ spl0_5
| ~ spl0_14 ),
inference(superposition,[],[f19816,f18008]) ).
fof(f57770,plain,
( ! [X0,X1] : ~ segmentP(cons(sk5,skaf43(X0,X1)),sk3)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f57746,f52]) ).
fof(f84947,plain,
( $false
| ~ spl0_5
| ~ spl0_14
| ~ spl0_202 ),
inference(backward_subsumption_resolution,[],[f11677,f57770]) ).
fof(f84950,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_202 ),
inference(avatar_contradiction_clause,[],[f84947]) ).
fof(f88125,plain,
( ~ segmentP(sk4,cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(sk4)
| ~ ssList(nil)
| ~ spl0_162 ),
inference(superposition,[],[f5741,f511]) ).
fof(f88129,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| ~ spl0_162
| ~ spl0_201 ),
inference(forward_subsumption_resolution,[],[f88125,f11673]) ).
fof(f88132,plain,
( ~ ssList(nil)
| ~ spl0_162
| ~ spl0_201 ),
inference(forward_subsumption_resolution,[],[f88129,f203]) ).
fof(f88135,plain,
( $false
| ~ spl0_8
| ~ spl0_162
| ~ spl0_201 ),
inference(forward_subsumption_resolution,[],[f88132,f427]) ).
fof(f88136,plain,
( ~ spl0_8
| ~ spl0_162
| ~ spl0_201 ),
inference(avatar_contradiction_clause,[],[f88135]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f400]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f405]) ).
cnf(s3,plain,
( spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f410]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_6 ),
inference(sat_conversion,[],[f415]) ).
cnf(s9,plain,
~ spl0_1,
inference(sat_conversion,[],[f420]) ).
cnf(s16,plain,
( spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f459]) ).
cnf(s19,plain,
spl0_8,
inference(sat_conversion,[],[f462]) ).
cnf(s34,plain,
( ~ spl0_3
| ~ spl0_8
| spl0_19 ),
inference(sat_conversion,[],[f1060]) ).
cnf(s38,plain,
( ~ spl0_5
| spl0_6
| ~ spl0_8
| ~ spl0_19 ),
inference(sat_conversion,[],[f1069]) ).
cnf(s83,plain,
spl0_67,
inference(sat_conversion,[],[f3616]) ).
cnf(s159,plain,
( spl0_4
| spl0_6
| ~ spl0_159
| spl0_162 ),
inference(sat_conversion,[],[f5742]) ).
cnf(s170,plain,
( spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_67 ),
inference(sat_conversion,[],[f5976]) ).
cnf(s365,plain,
( ~ spl0_14
| spl0_159 ),
inference(sat_conversion,[],[f11628]) ).
cnf(s368,plain,
( ~ spl0_2
| ~ spl0_159
| spl0_201
| spl0_202 ),
inference(sat_conversion,[],[f11678]) ).
cnf(s2671,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_202 ),
inference(sat_conversion,[],[f84950]) ).
cnf(s2707,plain,
( ~ spl0_8
| ~ spl0_162
| ~ spl0_201 ),
inference(sat_conversion,[],[f88136]) ).
cnf(s2843,plain,
~ spl0_6,
inference(rat,[],[s4,s9]) ).
cnf(s2852,plain,
spl0_5,
inference(rat,[],[s3,s9]) ).
cnf(s2863,plain,
~ spl0_19,
inference(rat,[],[s38,s2843,s19,s2852]) ).
cnf(s2878,plain,
~ spl0_3,
inference(rat,[],[s34,s19,s2863]) ).
cnf(s2945,plain,
~ spl0_4,
inference(rat,[],[s2,s9]) ).
cnf(s2946,plain,
~ spl0_15,
inference(rat,[],[s170,s83,s2852,s19,s2843,s2945]) ).
cnf(s2947,plain,
spl0_14,
inference(rat,[],[s16,s2946]) ).
cnf(s2950,plain,
~ spl0_202,
inference(rat,[],[s2671,s2852,s2947]) ).
cnf(s3005,plain,
spl0_159,
inference(rat,[],[s365,s2947]) ).
cnf(s3204,plain,
spl0_162,
inference(rat,[],[s159,s2945,s2843,s3005]) ).
cnf(s3268,plain,
~ spl0_201,
inference(rat,[],[s2707,s19,s3204]) ).
cnf(s3286,plain,
~ spl0_2,
inference(rat,[],[s368,s2950,s3005,s3268]) ).
cnf(s3287,plain,
$false,
inference(rat,[],[s1,s2878,s3286,s9]) ).
fof(f88137,plain,
$false,
inference(avatar_sat_refutation,[],[s3287]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC126-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n009.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 08:03:00 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 Running first-order model finding
% 0.11/0.39 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.39/2.67 % (2876370)Will run a generic schedule for satisfiability detection.
% 15.39/2.67 % (2876379)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3910900412:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.39/2.67 % (2876376)% WARNING: option uhcvi not known.
% 15.39/2.67 % (2876376)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3909445278:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.39/2.67 % (2876375)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1805904734_2999 on theBenchmark for (2999ds/0Mi)
% 15.39/2.67 % (2876377)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1631582247:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.39/2.67 % (2876378)dis+10_1_sil=32000:sp=arity:random_seed=2129052570:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.39/2.67 % (2876380)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1065612111:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.39/2.67 % (2876381)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1752790998:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.39/2.67 % TRYING [1]
% 15.39/2.67 % TRYING [2]
% 15.39/2.67 % TRYING [3]
% 15.39/2.67 % (2876379)Instruction limit reached!
% 15.39/2.67 % (2876379)------------------------------
% 15.39/2.67 % (2876379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.39/2.67 % (2876379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/2.67 % (2876379)CaDiCaL version: 2.1.3
% 15.39/2.67 % (2876379)Termination reason: Instruction limit
% 15.39/2.67 % (2876379)Termination phase: Saturation
% 15.39/2.67 % (2876379)Time elapsed: 0.035 s
% 15.39/2.67 % (2876379)Peak memory usage: 13 MB
% 15.39/2.67 % (2876379)Instructions burned: 120 (million)
% 15.39/2.67 % TRYING [4]
% 15.39/2.67 % (2876389)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=986516463:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.39/2.67 % TRYING [1]
% 15.39/2.67 % TRYING [2]
% 15.39/2.67 % TRYING [3]
% 15.39/2.67 % (2876378)Instruction limit reached!
% 15.39/2.67 % (2876378)------------------------------
% 15.39/2.67 % (2876378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.39/2.67 % (2876378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/2.67 % (2876378)CaDiCaL version: 2.1.3
% 15.39/2.67 % (2876378)Termination reason: Instruction limit
% 15.39/2.67 % (2876378)Termination phase: Saturation
% 15.39/2.67 % (2876378)Time elapsed: 0.060 s
% 15.39/2.67 % (2876378)Peak memory usage: 13 MB
% 15.39/2.67 % (2876378)Instructions burned: 105 (million)
% 15.39/2.67 % TRYING [4]
% 15.39/2.67 % (2876380)Instruction limit reached!
% 15.39/2.67 % (2876380)------------------------------
% 15.39/2.67 % (2876380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.39/2.67 % (2876380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/2.67 % (2876380)CaDiCaL version: 2.1.3
% 15.39/2.67 % (2876380)Termination reason: Instruction limit
% 15.39/2.67 % (2876380)Termination phase: Saturation
% 15.39/2.67 % (2876380)Time elapsed: 0.069 s
% 15.39/2.67 % (2876380)Peak memory usage: 14 MB
% 15.39/2.67 % (2876380)Instructions burned: 133 (million)
% 15.39/2.67 % (2876392)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1497480975:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.39/2.67 % (2876391)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3034175639:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.39/2.67 % (2876381)Instruction limit reached!
% 15.39/2.67 % (2876381)------------------------------
% 15.39/2.67 % (2876381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.39/2.67 % (2876381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/2.67 % (2876381)CaDiCaL version: 2.1.3
% 15.39/2.67 % (2876381)Termination reason: Instruction limit
% 15.39/2.67 % (2876381)Termination phase: Saturation
% 15.39/2.67 % (2876381)Time elapsed: 0.099 s
% 15.39/2.67 % (2876381)Peak memory usage: 14 MB
% 15.39/2.67 % (2876381)Instructions burned: 160 (million)
% 15.39/2.67 % TRYING [5]
% 15.39/2.67 % (2876402)ott-21_1_sil=16000:fs=off:random_seed=2550601293:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.39/2.67 % TRYING [5]
% 15.39/2.67 % (2876391)Instruction limit reached!
% 15.39/2.67 % (2876391)------------------------------
% 15.39/2.67 % (2876391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.52/3.05 % (2876391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/3.05 % (2876391)CaDiCaL version: 2.1.3
% 7.52/3.05 % (2876391)Termination reason: Instruction limit
% 7.52/3.05 % (2876391)Termination phase: Saturation
% 7.52/3.05 % (2876391)Time elapsed: 0.074 s
% 7.52/3.05 % (2876391)Peak memory usage: 14 MB
% 7.52/3.05 % (2876391)Instructions burned: 132 (million)
% 7.52/3.05 % (2876421)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1002819806:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 7.52/3.05 % (2876402)Instruction limit reached!
% 7.52/3.05 % (2876402)------------------------------
% 7.52/3.05 % (2876402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.52/3.05 % (2876402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/3.05 % (2876402)CaDiCaL version: 2.1.3
% 7.52/3.05 % (2876402)Termination reason: Instruction limit
% 7.52/3.05 % (2876402)Termination phase: Saturation
% 7.52/3.05 % (2876402)Time elapsed: 0.091 s
% 7.52/3.05 % (2876402)Peak memory usage: 13 MB
% 7.52/3.05 % (2876402)Instructions burned: 180 (million)
% 7.52/3.05 % (2876447)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=923675252:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.52/3.05 % TRYING [1]
% 7.52/3.05 % TRYING [2]
% 7.52/3.05 % TRYING [3]
% 7.52/3.05 % TRYING [6]
% 7.52/3.05 % (2876392)Instruction limit reached!
% 7.52/3.05 % (2876392)------------------------------
% 7.52/3.05 % (2876392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.52/3.05 % (2876392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/3.05 % (2876392)CaDiCaL version: 2.1.3
% 7.52/3.05 % (2876392)Termination reason: Instruction limit
% 7.52/3.05 % (2876392)Termination phase: Saturation
% 7.52/3.05 % (2876392)Time elapsed: 0.201 s
% 7.52/3.05 % (2876392)Peak memory usage: 16 MB
% 7.52/3.05 % (2876392)Instructions burned: 688 (million)
% 7.52/3.05 % (2876469)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3288385237:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 7.52/3.05 % TRYING [6]
% 7.52/3.05 % (2876389)Instruction limit reached!
% 7.52/3.05 % (2876389)------------------------------
% 7.52/3.05 % (2876389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.52/3.05 % (2876389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/3.05 % (2876389)CaDiCaL version: 2.1.3
% 7.52/3.05 % (2876389)Termination reason: Instruction limit
% 7.52/3.05 % (2876389)Termination phase: Finite model building constraint generation
% 7.52/3.05 % (2876389)Time elapsed: 0.259 s
% 7.52/3.05 % (2876389)Peak memory usage: 36 MB
% 7.52/3.05 % (2876389)Instructions burned: 718 (million)
% 7.52/3.05 % TRYING [4]
% 7.52/3.05 % (2876477)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1909085859:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 7.52/3.05 % TRYING [14]
% 7.52/3.05 % TRYING [5]
% 7.52/3.05 % (2876421)Instruction limit reached!
% 7.52/3.05 % (2876421)------------------------------
% 7.52/3.05 % (2876421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.52/3.05 % (2876421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/3.05 % (2876421)CaDiCaL version: 2.1.3
% 7.52/3.05 % (2876421)Termination reason: Instruction limit
% 7.52/3.05 % (2876421)Termination phase: Saturation
% 7.52/3.05 % (2876421)Time elapsed: 0.316 s
% 7.52/3.05 % (2876421)Peak memory usage: 14 MB
% 7.52/3.05 % (2876421)Instructions burned: 477 (million)
% 7.52/3.05 % (2876506)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2110296954:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 7.52/3.05 % (2876447)Instruction limit reached!
% 7.52/3.05 % (2876447)------------------------------
% 7.52/3.05 % (2876447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.52/3.05 % (2876447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/3.05 % (2876447)CaDiCaL version: 2.1.3
% 7.52/3.05 % (2876447)Termination reason: Instruction limit
% 7.52/3.05 % (2876447)Termination phase: Finite model building SAT solving
% 7.52/3.05 % (2876447)Time elapsed: 0.369 s
% 7.52/3.05 % (2876447)Peak memory usage: 23 MB
% 7.52/3.05 % (2876447)Instructions burned: 865 (million)
% 7.52/3.05 % (2876508)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2642741114:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 7.52/3.05 % (2876477)Instruction limit reached!
% 7.52/3.05 % (2876477)------------------------------
% 7.52/3.05 % (2876477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.52/3.05 % (2876477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/3.05 % (2876477)CaDiCaL version: 2.1.3
% 7.52/3.05 % (2876477)Termination reason: Instruction limit
% 7.52/3.05 % (2876477)Termination phase: Finite model building constraint generation
% 7.52/3.05 % (2876477)Time elapsed: 0.329 s
% 7.52/3.05 % (2876477)Peak memory usage: 73 MB
% 7.52/3.05 % (2876477)Instructions burned: 892 (million)
% 7.52/3.05 % (2876469)Instruction limit reached!
% 7.52/3.05 % (2876469)------------------------------
% 7.52/3.05 % (2876469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.52/3.05 % (2876469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/3.05 % (2876469)CaDiCaL version: 2.1.3
% 7.52/3.05 % (2876469)Termination reason: Instruction limit
% 7.52/3.05 % (2876469)Termination phase: Saturation
% 7.52/3.05 % (2876469)Time elapsed: 0.366 s
% 7.52/3.05 % (2876469)Peak memory usage: 30 MB
% 7.52/3.05 % (2876469)Instructions burned: 1179 (million)
% 7.52/3.05 % (2876511)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3651022661:i=9515:nm=5_2992 on theBenchmark for (2992ds/9515Mi)
% 7.52/3.05 % TRYING [20]
% 7.52/3.05 % (2876510)fmb+10_1_sil=64000:random_seed=2047216202:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 7.52/3.05 % TRYING [1]
% 7.52/3.05 % TRYING [2]
% 7.52/3.05 % TRYING [7]
% 7.52/3.05 % TRYING [3]
% 7.52/3.05 % TRYING [4]
% 7.52/3.05 % TRYING [5]
% 7.52/3.05 % (2876506)Instruction limit reached!
% 7.52/3.05 % (2876506)------------------------------
% 7.52/3.05 % (2876506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.52/3.05 % (2876506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/3.05 % (2876506)CaDiCaL version: 2.1.3
% 7.52/3.05 % (2876506)Termination reason: Instruction limit
% 7.52/3.05 % (2876506)Termination phase: Saturation
% 7.52/3.05 % (2876506)Time elapsed: 0.405 s
% 7.52/3.05 % (2876506)Peak memory usage: 21 MB
% 7.52/3.05 % (2876506)Instructions burned: 692 (million)
% 7.52/3.05 % (2876527)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3258727842:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 7.52/3.05 % TRYING [8]
% 7.52/3.05 % (2876508)Instruction limit reached!
% 7.52/3.05 % (2876508)------------------------------
% 7.52/3.05 % (2876508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.52/3.05 % (2876508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/3.05 % (2876508)CaDiCaL version: 2.1.3
% 7.52/3.05 % (2876508)Termination reason: Instruction limit
% 7.52/3.05 % (2876508)Termination phase: Saturation
% 7.52/3.05 % (2876508)Time elapsed: 0.496 s
% 7.52/3.05 % (2876508)Peak memory usage: 21 MB
% 7.52/3.05 % (2876508)Instructions burned: 879 (million)
% 7.52/3.05 % (2876537)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=897100662:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 7.52/3.05 % TRYING [6]
% 7.52/3.05 % (2876527)Instruction limit reached!
% 7.52/3.05 % (2876527)------------------------------
% 7.52/3.05 % (2876527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.52/3.05 % (2876527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/3.05 % (2876527)CaDiCaL version: 2.1.3
% 7.52/3.05 % (2876527)Termination reason: Instruction limit
% 7.52/3.05 % (2876527)Termination phase: Finite model building constraint generation
% 7.52/3.05 % (2876527)Time elapsed: 0.514 s
% 7.52/3.05 % (2876527)Peak memory usage: 79 MB
% 7.52/3.05 % (2876527)Instructions burned: 921 (million)
% 7.52/3.05 % (2876547)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2599107505:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 7.52/3.05 % TRYING [8]
% 7.52/3.05 % (2876547)Instruction limit reached!
% 7.52/3.05 % (2876547)------------------------------
% 7.52/3.05 % (2876547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.52/3.05 % (2876547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/3.05 % (2876547)CaDiCaL version: 2.1.3
% 7.52/3.05 % (2876547)Termination reason: Instruction limit
% 7.52/3.05 % (2876547)Termination phase: Saturation
% 7.52/3.05 % (2876547)Time elapsed: 0.684 s
% 7.52/3.05 % (2876547)Peak memory usage: 15 MB
% 7.52/3.05 % (2876547)Instructions burned: 1474 (million)
% 7.52/3.05 % (2876624)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3148576181:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 7.52/3.05 % TRYING [77]
% 7.52/3.05 % TRYING [7]
% 7.52/3.05 % (2876376) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2876370-2876376"...
% 7.52/3.05 % (2876376)...printing done.
% 7.52/3.05 % (2876376)Refutation found. Thanks to Tanya!
% 7.52/3.05 % SZS status Unsatisfiable for theBenchmark
% 7.52/3.05 % SZS output start Proof for theBenchmark
% See solution above
% 7.52/3.05 % (2876376)------------------------------
% 7.52/3.05 % (2876376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.52/3.05 % (2876376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/3.05 % (2876376)CaDiCaL version: 2.1.3
% 7.52/3.05 % (2876376)Termination reason: Refutation
% 7.52/3.05 % (2876376)Time elapsed: 2.543 s
% 7.52/3.05 % (2876376)Peak memory usage: 51 MB
% 7.52/3.05 % (2876376)Instructions burned: 4284 (million)
% 7.52/3.05 % (2876370)Success in time 2.646 s
% 7.52/3.05 % Vampire exiting
%------------------------------------------------------------------------------