%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC084-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 01:04:36 PM UTC 2026
% Result : Unsatisfiable 34.88s 6.18s
% Output : Refutation 34.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 43
% Syntax : Number of formulae : 192 ( 32 unt; 14 def)
% Number of atoms : 583 ( 61 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 739 ( 348 ~; 377 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 15 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 141 ( 0 sgn 141 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause13) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause52) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause53) ).
fof(f56,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause56) ).
fof(f57,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause57) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause72) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause96) ).
fof(f98,axiom,
! [X0,X1] :
( cons(X0,X1) != nil
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/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/sandbox2/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(f112,axiom,
! [X0] :
( ~ ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause109) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox2/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(f164,axiom,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X0,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SWC001-0.ax',clause179) ).
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,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ssItem(sk5)
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f210,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
( sk3 = cons(sk5,nil)
| nil = sk4 ),
inference(reorient_equations,[],[f210]) ).
fof(f212,negated_conjecture,
( memberP(sk4,sk5)
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f220,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f221,plain,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(definition_unfolding,[],[f207,f204,f205]) ).
fof(f236,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(f239,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(f266,plain,
! [X0] :
( ~ segmentP(X0,nil)
| ~ ssList(X0) ),
inference(consistent_polarity_flipping,[],[f56]) ).
fof(f267,plain,
! [X0] :
( ~ segmentP(X0,X0)
| ~ ssList(X0) ),
inference(consistent_polarity_flipping,[],[f57]) ).
fof(f280,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ duplicatefreeP(X0)
| ~ ssItem(X1) ),
inference(consistent_polarity_flipping,[],[f72]) ).
fof(f287,plain,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f86]) ).
fof(f293,plain,
! [X0,X1] :
( ~ ssList(X1)
| ssItem(X0)
| tl(cons(X0,X1)) = X1 ),
inference(consistent_polarity_flipping,[],[f96]) ).
fof(f295,plain,
! [X0,X1] :
( nil != cons(X0,X1)
| ssItem(X0)
| ~ ssList(X1) ),
inference(consistent_polarity_flipping,[],[f99]) ).
fof(f297,plain,
! [X0,X1] :
( ~ neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f102]) ).
fof(f312,plain,
! [X0,X1] :
( ~ ssList(X1)
| ssItem(X0)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(consistent_polarity_flipping,[],[f126]) ).
fof(f333,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(f345,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(f349,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,[],[f236]) ).
fof(f354,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,[],[f239]) ).
fof(f361,plain,
~ neq(sk4,nil),
inference(consistent_polarity_flipping,[],[f220]) ).
fof(f362,plain,
! [X0] :
( neq(X0,nil)
| ~ ssList(X0)
| segmentP(sk4,X0)
| segmentP(sk3,X0) ),
inference(consistent_polarity_flipping,[],[f221]) ).
fof(f363,plain,
( ~ ssItem(sk5)
| nil = sk4 ),
inference(consistent_polarity_flipping,[],[f208]) ).
fof(f365,plain,
( ~ memberP(sk4,sk5)
| nil = sk4 ),
inference(consistent_polarity_flipping,[],[f212]) ).
fof(f376,definition,
( spl0_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f377,plain,
( nil != sk3
| spl0_1 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f384,definition,
( spl0_3
<=> memberP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f386,plain,
( ~ memberP(sk4,sk5)
| spl0_3 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f389,definition,
( spl0_4
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f391,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f394,definition,
( spl0_5
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f396,plain,
( nil = sk4
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f398,plain,
( spl0_5
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f365,f384,f394]) ).
fof(f399,plain,
( spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f211,f389,f394]) ).
fof(f401,definition,
( spl0_6
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f403,plain,
( ~ ssItem(sk5)
| spl0_6 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f405,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f363,f401,f394]) ).
fof(f411,definition,
( spl0_8
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f412,plain,
( ssList(nil)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f439,definition,
( spl0_14
<=> ! [X1] : ~ ssItem(X1) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f440,plain,
( ! [X1] : ~ ssItem(X1)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f442,definition,
( spl0_15
<=> ! [X0] :
( ~ ssList(X0)
| ~ duplicatefreeP(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f443,plain,
( ! [X0] :
( ~ duplicatefreeP(X0)
| ~ ssList(X0) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f444,plain,
( spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f280,f442,f439]) ).
fof(f447,plain,
spl0_8,
inference(avatar_split_clause,[],[f8,f411]) ).
fof(f448,plain,
( ~ ssList(sk4)
| segmentP(sk4,sk4)
| segmentP(sk3,sk4) ),
inference(resolution,[],[f362,f361]) ).
fof(f449,plain,
( segmentP(sk4,sk4)
| segmentP(sk3,sk4) ),
inference(forward_subsumption_resolution,[],[f448,f203]) ).
fof(f451,definition,
( spl0_16
<=> segmentP(sk3,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f453,plain,
( segmentP(sk3,sk4)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f455,definition,
( spl0_17
<=> segmentP(sk4,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f457,plain,
( segmentP(sk4,sk4)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f458,plain,
( spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f449,f455,f451]) ).
fof(f510,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f203]) ).
fof(f512,plain,
! [X0] : skaf82(X0) = app(nil,skaf82(X0)),
inference(resolution,[],[f74,f13]) ).
fof(f569,plain,
( ! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1) )
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f287,f440]) ).
fof(f580,plain,
( ! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssList(X1) )
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f295,f440]) ).
fof(f591,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| tl(cons(X0,X1)) = X1 )
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f293,f440]) ).
fof(f593,plain,
( ! [X0,X1] : skaf82(X1) = tl(cons(X0,skaf82(X1)))
| ~ spl0_14 ),
inference(resolution,[],[f591,f13]) ).
fof(f623,plain,
( ! [X0] : sk3 = tl(cons(X0,sk3))
| ~ spl0_14 ),
inference(resolution,[],[f591,f202]) ).
fof(f659,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil = X0
| ~ ssList(X0)
| segmentP(sk4,X0)
| segmentP(sk3,X0) ),
inference(resolution,[],[f297,f362]) ).
fof(f662,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil = X0
| segmentP(sk4,X0)
| segmentP(sk3,X0) ),
inference(duplicate_literal_removal,[],[f659]) ).
fof(f663,plain,
( ! [X0] :
( segmentP(sk3,X0)
| nil = X0
| segmentP(sk4,X0)
| ~ ssList(X0) )
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f662,f412]) ).
fof(f733,plain,
( segmentP(sk3,nil)
| ~ spl0_5
| ~ spl0_16 ),
inference(superposition,[],[f453,f396]) ).
fof(f769,plain,
( ! [X0,X1] :
( cons(X0,X1) = cons(skaf83(cons(X0,X1)),skaf82(cons(X0,X1)))
| nil = cons(X0,X1)
| ~ ssList(X1) )
| ~ spl0_14 ),
inference(resolution,[],[f112,f569]) ).
fof(f776,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| cons(X0,X1) = cons(skaf83(cons(X0,X1)),skaf82(cons(X0,X1))) )
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f769,f580]) ).
fof(f825,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) )
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f312,f440]) ).
fof(f865,plain,
( ! [X2,X0,X1] : cons(X0,skaf43(X1,X2)) = app(cons(X0,nil),skaf43(X1,X2))
| ~ spl0_14 ),
inference(resolution,[],[f825,f52]) ).
fof(f940,plain,
( ~ ssList(sk3)
| ~ spl0_5
| ~ spl0_16 ),
inference(resolution,[],[f733,f266]) ).
fof(f941,plain,
( $false
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f940,f202]) ).
fof(f942,plain,
( ~ spl0_5
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f941]) ).
fof(f949,plain,
( ~ ssList(sk4)
| ~ spl0_17 ),
inference(resolution,[],[f457,f267]) ).
fof(f950,plain,
( $false
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f949,f203]) ).
fof(f951,plain,
~ spl0_17,
inference(avatar_contradiction_clause,[],[f950]) ).
fof(f1004,plain,
( nil != sk3
| ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_4 ),
inference(superposition,[],[f295,f391]) ).
fof(f1311,plain,
( nil != sk3
| ~ ssList(nil)
| ~ spl0_4
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f1004,f403]) ).
fof(f1313,plain,
( nil != sk3
| ~ spl0_4
| spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f1311,f412]) ).
fof(f1315,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1313,f411,f401,f389,f376]) ).
fof(f2071,plain,
( ssItem(sk5)
| ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| spl0_3 ),
inference(resolution,[],[f345,f386]) ).
fof(f2082,plain,
( ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| spl0_3
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f2071,f403]) ).
fof(f2093,plain,
( sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| spl0_3
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f2082,f203]) ).
fof(f2505,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,[],[f354,f443]) ).
fof(f2519,plain,
( ! [X0,X1] :
( ~ ssList(app(app(X0,cons(sk5,X1)),sk3))
| ~ ssList(X1)
| ~ ssList(X0)
| ssItem(sk5)
| ~ ssList(nil) )
| ~ spl0_4
| ~ spl0_15 ),
inference(superposition,[],[f2505,f391]) ).
fof(f2530,plain,
( ! [X0,X1] :
( ~ ssList(app(app(X0,cons(sk5,X1)),sk3))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl0_4
| spl0_6
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f2519,f403]) ).
fof(f2549,plain,
( ! [X0,X1] :
( ~ ssList(app(app(X0,cons(sk5,X1)),sk3))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_4
| spl0_6
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f2530,f412]) ).
fof(f2774,definition,
( spl0_61
<=> ssList(app(sk4,sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
fof(f2775,plain,
( ssList(app(sk4,sk3))
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f2774]) ).
fof(f2776,plain,
( ~ ssList(app(sk4,sk3))
| spl0_61 ),
inference(avatar_component_clause,[],[f2774]) ).
fof(f2786,plain,
( ~ ssList(sk4)
| ~ ssList(sk3)
| spl0_61 ),
inference(resolution,[],[f2776,f85]) ).
fof(f2787,plain,
( ~ ssList(sk3)
| spl0_61 ),
inference(forward_subsumption_resolution,[],[f2786,f203]) ).
fof(f2788,plain,
( $false
| spl0_61 ),
inference(forward_subsumption_resolution,[],[f2787,f202]) ).
fof(f2789,plain,
spl0_61,
inference(avatar_contradiction_clause,[],[f2788]) ).
fof(f5688,plain,
( nil = sk3
| segmentP(sk4,sk3)
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ spl0_8 ),
inference(resolution,[],[f663,f267]) ).
fof(f5693,plain,
( nil = sk3
| segmentP(sk4,sk3)
| ~ ssList(sk3)
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f5688]) ).
fof(f5695,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk3)
| spl0_1
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f5693,f377]) ).
fof(f5696,plain,
( segmentP(sk4,sk3)
| spl0_1
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f5695,f202]) ).
fof(f5697,plain,
( ! [X0] :
( segmentP(X0,sk3)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(sk4)
| segmentP(sk4,X0) )
| spl0_1
| ~ spl0_8 ),
inference(resolution,[],[f5696,f333]) ).
fof(f5698,plain,
( ! [X0] :
( segmentP(X0,sk3)
| ~ ssList(X0)
| ~ ssList(sk4)
| segmentP(sk4,X0) )
| spl0_1
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f5697,f202]) ).
fof(f5699,plain,
( ! [X0] :
( ~ ssList(X0)
| segmentP(X0,sk3)
| segmentP(sk4,X0) )
| spl0_1
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f5698,f203]) ).
fof(f6378,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_3
| spl0_6 ),
inference(superposition,[],[f349,f2093]) ).
fof(f6383,plain,
( ! [X0] :
( ~ ssList(app(sk4,X0))
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(X0)
| ~ segmentP(app(sk4,X0),cons(sk5,skaf43(sk5,sk4))) )
| spl0_3
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f6378,f53]) ).
fof(f6393,definition,
( spl0_160
<=> ssList(cons(sk5,skaf43(sk5,sk4))) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
fof(f6394,plain,
( ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f6393]) ).
fof(f6395,plain,
( ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| spl0_160 ),
inference(avatar_component_clause,[],[f6393]) ).
fof(f6407,definition,
( spl0_163
<=> ! [X0] :
( ~ ssList(app(sk4,X0))
| ~ segmentP(app(sk4,X0),cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
fof(f6408,plain,
( ! [X0] :
( ~ segmentP(app(sk4,X0),cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(app(sk4,X0))
| ~ ssList(X0) )
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f6407]) ).
fof(f6409,plain,
( ~ spl0_160
| spl0_163
| spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f6383,f401,f384,f6407,f6393]) ).
fof(f7258,plain,
( ~ ssList(app(sk4,sk3))
| ~ ssList(skaf43(sk5,sk4))
| ~ ssList(skaf42(sk4,sk5))
| spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_8
| ~ spl0_15 ),
inference(superposition,[],[f2549,f2093]) ).
fof(f7259,plain,
( ~ ssList(skaf43(sk5,sk4))
| ~ ssList(skaf42(sk4,sk5))
| spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f7258,f2775]) ).
fof(f7262,plain,
( ~ ssList(skaf42(sk4,sk5))
| spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f7259,f52]) ).
fof(f7263,plain,
( $false
| spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f7262,f53]) ).
fof(f7264,plain,
( spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_61 ),
inference(avatar_contradiction_clause,[],[f7263]) ).
fof(f13294,plain,
! [X0,X1] :
( ~ ssList(app(skaf82(X0),X1))
| ~ ssList(nil)
| ~ ssList(skaf82(X0))
| ~ ssList(X1)
| ~ segmentP(app(skaf82(X0),X1),skaf82(X0)) ),
inference(superposition,[],[f349,f512]) ).
fof(f13303,plain,
( ! [X0,X1] :
( ~ ssList(app(skaf82(X0),X1))
| ~ ssList(skaf82(X0))
| ~ ssList(X1)
| ~ segmentP(app(skaf82(X0),X1),skaf82(X0)) )
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f13294,f412]) ).
fof(f13308,plain,
( ! [X0,X1] :
( ~ ssList(skaf82(X0))
| ~ ssList(X1)
| ~ segmentP(app(skaf82(X0),X1),skaf82(X0)) )
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f13303,f85]) ).
fof(f13313,plain,
( ! [X0,X1] :
( ~ segmentP(app(skaf82(X0),X1),skaf82(X0))
| ~ ssList(X1) )
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f13308,f13]) ).
fof(f13488,plain,
( ~ ssList(skaf43(sk5,sk4))
| ~ spl0_14
| spl0_160 ),
inference(resolution,[],[f6395,f569]) ).
fof(f13489,plain,
( $false
| ~ spl0_14
| spl0_160 ),
inference(forward_subsumption_resolution,[],[f13488,f52]) ).
fof(f13490,plain,
( ~ spl0_14
| spl0_160 ),
inference(avatar_contradiction_clause,[],[f13489]) ).
fof(f13610,definition,
( spl0_242
<=> segmentP(sk4,cons(sk5,skaf43(sk5,sk4))) ),
introduced(definition,[new_symbols(definition,[spl0_242])],[avatar_definition]) ).
fof(f13611,plain,
( ~ segmentP(sk4,cons(sk5,skaf43(sk5,sk4)))
| spl0_242 ),
inference(avatar_component_clause,[],[f13610]) ).
fof(f18888,plain,
( ! [X0,X1] : app(sk3,skaf43(X0,X1)) = cons(sk5,skaf43(X0,X1))
| ~ spl0_4
| ~ spl0_14 ),
inference(superposition,[],[f865,f391]) ).
fof(f24686,plain,
( ! [X0] : cons(X0,sk3) = cons(skaf83(cons(X0,sk3)),skaf82(cons(X0,sk3)))
| ~ spl0_14 ),
inference(resolution,[],[f776,f202]) ).
fof(f27130,plain,
( segmentP(cons(sk5,skaf43(sk5,sk4)),sk3)
| segmentP(sk4,cons(sk5,skaf43(sk5,sk4)))
| spl0_1
| ~ spl0_8
| ~ spl0_160 ),
inference(resolution,[],[f5699,f6394]) ).
fof(f78805,plain,
( ! [X0] : tl(cons(X0,sk3)) = skaf82(cons(X0,sk3))
| ~ spl0_14 ),
inference(superposition,[],[f593,f24686]) ).
fof(f78884,plain,
( ! [X0] : sk3 = skaf82(cons(X0,sk3))
| ~ spl0_14 ),
inference(forward_demodulation,[],[f78805,f623]) ).
fof(f96722,plain,
( ~ segmentP(sk4,cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(sk4)
| ~ ssList(nil)
| ~ spl0_163 ),
inference(superposition,[],[f6408,f510]) ).
fof(f96736,plain,
( ~ segmentP(sk4,cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(nil)
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f96722,f203]) ).
fof(f96739,plain,
( ~ segmentP(sk4,cons(sk5,skaf43(sk5,sk4)))
| ~ spl0_8
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f96736,f412]) ).
fof(f96741,plain,
( ~ spl0_242
| ~ spl0_8
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f96739,f6407,f411,f13610]) ).
fof(f192487,plain,
( ! [X1] :
( ~ segmentP(app(sk3,X1),sk3)
| ~ ssList(X1) )
| ~ spl0_8
| ~ spl0_14 ),
inference(superposition,[],[f13313,f78884]) ).
fof(f193570,plain,
( ! [X0,X1] :
( ~ segmentP(cons(sk5,skaf43(X0,X1)),sk3)
| ~ ssList(skaf43(X0,X1)) )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14 ),
inference(superposition,[],[f192487,f18888]) ).
fof(f193575,plain,
( ! [X0,X1] : ~ segmentP(cons(sk5,skaf43(X0,X1)),sk3)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f193570,f52]) ).
fof(f196488,plain,
( segmentP(sk4,cons(sk5,skaf43(sk5,sk4)))
| spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f27130,f193575]) ).
fof(f196492,plain,
( $false
| spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14
| ~ spl0_160
| spl0_242 ),
inference(forward_subsumption_resolution,[],[f196488,f13611]) ).
fof(f196493,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14
| ~ spl0_160
| spl0_242 ),
inference(avatar_contradiction_clause,[],[f196492]) ).
cnf(s5,plain,
( ~ spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f398]) ).
cnf(s6,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f399]) ).
cnf(s8,plain,
( spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f405]) ).
cnf(s15,plain,
( spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f444]) ).
cnf(s18,plain,
spl0_8,
inference(sat_conversion,[],[f447]) ).
cnf(s19,plain,
( spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f458]) ).
cnf(s30,plain,
( ~ spl0_5
| ~ spl0_16 ),
inference(sat_conversion,[],[f942]) ).
cnf(s33,plain,
~ spl0_17,
inference(sat_conversion,[],[f951]) ).
cnf(s54,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f1315]) ).
cnf(s78,plain,
spl0_61,
inference(sat_conversion,[],[f2789]) ).
cnf(s190,plain,
( spl0_3
| spl0_6
| ~ spl0_160
| spl0_163 ),
inference(sat_conversion,[],[f6409]) ).
cnf(s263,plain,
( spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_61 ),
inference(sat_conversion,[],[f7264]) ).
cnf(s493,plain,
( ~ spl0_14
| spl0_160 ),
inference(sat_conversion,[],[f13490]) ).
cnf(s3563,plain,
( ~ spl0_8
| ~ spl0_163
| ~ spl0_242 ),
inference(sat_conversion,[],[f96741]) ).
cnf(s6238,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14
| ~ spl0_160
| spl0_242 ),
inference(sat_conversion,[],[f196493]) ).
cnf(s6327,plain,
spl0_16,
inference(rat,[],[s19,s33]) ).
cnf(s6328,plain,
~ spl0_5,
inference(rat,[],[s30,s6327]) ).
cnf(s6440,plain,
~ spl0_6,
inference(rat,[],[s8,s6328]) ).
cnf(s6494,plain,
spl0_4,
inference(rat,[],[s6,s6328]) ).
cnf(s6502,plain,
~ spl0_1,
inference(rat,[],[s54,s18,s6440,s6494]) ).
cnf(s6628,plain,
~ spl0_3,
inference(rat,[],[s5,s6328]) ).
cnf(s6629,plain,
~ spl0_15,
inference(rat,[],[s263,s78,s6494,s18,s6440,s6628]) ).
cnf(s6630,plain,
spl0_14,
inference(rat,[],[s15,s6629]) ).
cnf(s6802,plain,
spl0_160,
inference(rat,[],[s493,s6630]) ).
cnf(s7063,plain,
spl0_163,
inference(rat,[],[s190,s6628,s6440,s6802]) ).
cnf(s7066,plain,
spl0_242,
inference(rat,[],[s6238,s6630,s6502,s6494,s18,s6802]) ).
cnf(s7213,plain,
$false,
inference(rat,[],[s3563,s18,s7066,s7063]) ).
fof(f196503,plain,
$false,
inference(avatar_sat_refutation,[],[s7213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC084-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 07:50:49 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 Running first-order model finding
% 0.10/0.38 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.46/2.39 % (3214295)Will run a generic schedule for satisfiability detection.
% 13.46/2.39 % (3214303)dis+10_1_sil=32000:sp=arity:random_seed=1636913951:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.46/2.39 % (3214301)% WARNING: option uhcvi not known.
% 13.46/2.39 % (3214300)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1962713954_2999 on theBenchmark for (2999ds/0Mi)
% 13.46/2.39 % (3214302)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2672371195:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.46/2.39 % (3214304)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2956038534:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.46/2.39 % (3214305)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=165997551:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.46/2.39 % (3214306)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2454006329:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.46/2.39 % (3214301)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2073745958:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.46/2.39 % TRYING [1]
% 13.46/2.39 % TRYING [2]
% 13.46/2.39 % TRYING [3]
% 13.46/2.39 % (3214303)Instruction limit reached!
% 13.46/2.39 % (3214303)------------------------------
% 13.46/2.39 % (3214303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.46/2.39 % (3214303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.46/2.39 % (3214303)CaDiCaL version: 2.1.3
% 13.46/2.39 % (3214303)Termination reason: Instruction limit
% 13.46/2.39 % (3214303)Termination phase: Saturation
% 13.46/2.39 % (3214303)Time elapsed: 0.033 s
% 13.46/2.39 % (3214303)Peak memory usage: 13 MB
% 13.46/2.39 % (3214303)Instructions burned: 104 (million)
% 13.46/2.39 % (3214314)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4233669566:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.46/2.39 % TRYING [4]
% 13.46/2.39 % TRYING [1]
% 13.46/2.39 % TRYING [2]
% 13.46/2.39 % TRYING [3]
% 13.46/2.39 % TRYING [4]
% 13.46/2.39 % (3214304)Instruction limit reached!
% 13.46/2.39 % (3214304)------------------------------
% 13.46/2.39 % (3214304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.46/2.39 % (3214304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.46/2.39 % (3214304)CaDiCaL version: 2.1.3
% 13.46/2.39 % (3214304)Termination reason: Instruction limit
% 13.46/2.39 % (3214304)Termination phase: Saturation
% 13.46/2.39 % (3214304)Time elapsed: 0.060 s
% 13.46/2.39 % (3214304)Peak memory usage: 13 MB
% 13.46/2.39 % (3214304)Instructions burned: 117 (million)
% 13.46/2.39 % (3214305)Instruction limit reached!
% 13.46/2.39 % (3214305)------------------------------
% 13.46/2.39 % (3214305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.46/2.39 % (3214305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.46/2.39 % (3214305)CaDiCaL version: 2.1.3
% 13.46/2.39 % (3214305)Termination reason: Instruction limit
% 13.46/2.39 % (3214305)Termination phase: Saturation
% 13.46/2.39 % (3214305)Time elapsed: 0.068 s
% 13.46/2.39 % (3214305)Peak memory usage: 14 MB
% 13.46/2.39 % (3214305)Instructions burned: 133 (million)
% 13.46/2.39 % (3214316)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=757790163:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 13.46/2.39 % (3214317)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=3908352951:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.46/2.39 % TRYING [5]
% 13.46/2.39 % (3214306)Instruction limit reached!
% 13.46/2.39 % (3214306)------------------------------
% 13.46/2.39 % (3214306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.46/2.39 % (3214306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.46/2.39 % (3214306)CaDiCaL version: 2.1.3
% 13.46/2.39 % (3214306)Termination reason: Instruction limit
% 13.46/2.39 % (3214306)Termination phase: Saturation
% 13.46/2.39 % (3214306)Time elapsed: 0.092 s
% 13.46/2.39 % (3214306)Peak memory usage: 13 MB
% 13.46/2.39 % (3214306)Instructions burned: 159 (million)
% 13.46/2.39 % TRYING [5]
% 13.46/2.39 % (3214320)ott-21_1_sil=16000:fs=off:random_seed=450970162:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.46/2.39 % (3214316)Instruction limit reached!
% 13.46/2.39 % (3214316)------------------------------
% 13.46/2.39 % (3214316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.65/5.87 % (3214316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.65/5.87 % (3214316)CaDiCaL version: 2.1.3
% 37.65/5.87 % (3214316)Termination reason: Instruction limit
% 37.65/5.87 % (3214316)Termination phase: Saturation
% 37.65/5.87 % (3214316)Time elapsed: 0.073 s
% 37.65/5.87 % (3214316)Peak memory usage: 14 MB
% 37.65/5.87 % (3214316)Instructions burned: 132 (million)
% 37.65/5.87 % (3214322)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2346079883:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 37.65/5.87 % TRYING [6]
% 37.65/5.87 % (3214314)Instruction limit reached!
% 37.65/5.87 % (3214314)------------------------------
% 37.65/5.87 % (3214314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.65/5.87 % (3214314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.65/5.87 % (3214314)CaDiCaL version: 2.1.3
% 37.65/5.87 % (3214314)Termination reason: Instruction limit
% 37.65/5.87 % (3214314)Termination phase: Finite model building constraint generation
% 37.65/5.87 % (3214314)Time elapsed: 0.151 s
% 37.65/5.87 % (3214314)Peak memory usage: 36 MB
% 37.65/5.87 % (3214314)Instructions burned: 719 (million)
% 37.65/5.87 % (3214320)Instruction limit reached!
% 37.65/5.87 % (3214320)------------------------------
% 37.65/5.87 % (3214320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.65/5.87 % (3214320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.65/5.87 % (3214320)CaDiCaL version: 2.1.3
% 37.65/5.87 % (3214320)Termination reason: Instruction limit
% 37.65/5.87 % (3214320)Termination phase: Saturation
% 37.65/5.87 % (3214320)Time elapsed: 0.087 s
% 37.65/5.87 % (3214320)Peak memory usage: 13 MB
% 37.65/5.87 % (3214320)Instructions burned: 180 (million)
% 37.65/5.87 % (3214324)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3353204810:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 37.65/5.87 % TRYING [1]
% 37.65/5.87 % TRYING [2]
% 37.65/5.87 % TRYING [3]
% 37.65/5.87 % (3214325)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3544765285:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 37.65/5.87 % TRYING [4]
% 37.65/5.87 % TRYING [6]
% 37.65/5.87 % TRYING [5]
% 37.65/5.87 % (3214324)Instruction limit reached!
% 37.65/5.87 % (3214324)------------------------------
% 37.65/5.87 % (3214324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.65/5.87 % (3214324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.65/5.87 % (3214324)CaDiCaL version: 2.1.3
% 37.65/5.87 % (3214324)Termination reason: Instruction limit
% 37.65/5.87 % (3214324)Termination phase: Finite model building SAT solving
% 37.65/5.87 % (3214324)Time elapsed: 0.179 s
% 37.65/5.87 % (3214324)Peak memory usage: 23 MB
% 37.65/5.87 % (3214324)Instructions burned: 869 (million)
% 37.65/5.87 % (3214328)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=624578095:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 37.65/5.87 % TRYING [14]
% 37.65/5.87 % (3214317)Instruction limit reached!
% 37.65/5.87 % (3214317)------------------------------
% 37.65/5.87 % (3214317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.65/5.87 % (3214317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.65/5.87 % (3214317)CaDiCaL version: 2.1.3
% 37.65/5.87 % (3214317)Termination reason: Instruction limit
% 37.65/5.87 % (3214317)Termination phase: Saturation
% 37.65/5.87 % (3214317)Time elapsed: 0.394 s
% 37.65/5.87 % (3214317)Peak memory usage: 17 MB
% 37.65/5.87 % (3214317)Instructions burned: 684 (million)
% 37.65/5.87 % (3214322)Instruction limit reached!
% 37.65/5.87 % (3214322)------------------------------
% 37.65/5.87 % (3214322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.65/5.87 % (3214322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.65/5.87 % (3214322)CaDiCaL version: 2.1.3
% 37.65/5.87 % (3214322)Termination reason: Instruction limit
% 37.65/5.87 % (3214322)Termination phase: Saturation
% 37.65/5.87 % (3214322)Time elapsed: 0.325 s
% 37.65/5.87 % (3214322)Peak memory usage: 14 MB
% 37.65/5.87 % (3214322)Instructions burned: 478 (million)
% 37.65/5.87 % (3214330)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=3244939870: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)
% 37.65/5.87 % (3214331)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4206073195:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 37.65/5.87 % (3214328)Instruction limit reached!
% 34.88/6.18 % (3214328)------------------------------
% 34.88/6.18 % (3214328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.88/6.18 % (3214328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.88/6.18 % (3214328)CaDiCaL version: 2.1.3
% 34.88/6.18 % (3214328)Termination reason: Instruction limit
% 34.88/6.18 % (3214328)Termination phase: Finite model building constraint generation
% 34.88/6.18 % (3214328)Time elapsed: 0.179 s
% 34.88/6.18 % (3214328)Peak memory usage: 72 MB
% 34.88/6.18 % (3214328)Instructions burned: 890 (million)
% 34.88/6.18 % (3214334)fmb+10_1_sil=64000:random_seed=672215145:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 34.88/6.18 % TRYING [1]
% 34.88/6.18 % TRYING [2]
% 34.88/6.18 % TRYING [3]
% 34.88/6.18 % TRYING [4]
% 34.88/6.18 % TRYING [5]
% 34.88/6.18 % TRYING [7]
% 34.88/6.18 % (3214325)Instruction limit reached!
% 34.88/6.18 % (3214325)------------------------------
% 34.88/6.18 % (3214325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.88/6.18 % (3214325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.88/6.18 % (3214325)CaDiCaL version: 2.1.3
% 34.88/6.18 % (3214325)Termination reason: Instruction limit
% 34.88/6.18 % (3214325)Termination phase: Saturation
% 34.88/6.18 % (3214325)Time elapsed: 0.675 s
% 34.88/6.18 % (3214325)Peak memory usage: 27 MB
% 34.88/6.18 % (3214325)Instructions burned: 1180 (million)
% 34.88/6.18 % (3214330)Instruction limit reached!
% 34.88/6.18 % (3214330)------------------------------
% 34.88/6.18 % (3214330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.88/6.18 % (3214330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.88/6.18 % (3214330)CaDiCaL version: 2.1.3
% 34.88/6.18 % (3214330)Termination reason: Instruction limit
% 34.88/6.18 % (3214330)Termination phase: Saturation
% 34.88/6.18 % (3214330)Time elapsed: 0.392 s
% 34.88/6.18 % (3214330)Peak memory usage: 22 MB
% 34.88/6.18 % (3214330)Instructions burned: 692 (million)
% 34.88/6.18 % (3214336)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1249440287:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 34.88/6.18 % (3214337)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2972366986:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 34.88/6.18 % TRYING [6]
% 34.88/6.18 % TRYING [8]
% 34.88/6.18 % TRYING [20]
% 34.88/6.18 % (3214331)Instruction limit reached!
% 34.88/6.18 % (3214331)------------------------------
% 34.88/6.18 % (3214331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.88/6.18 % (3214331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.88/6.18 % (3214331)CaDiCaL version: 2.1.3
% 34.88/6.18 % (3214331)Termination reason: Instruction limit
% 34.88/6.18 % (3214331)Termination phase: Saturation
% 34.88/6.18 % (3214331)Time elapsed: 0.462 s
% 34.88/6.18 % (3214331)Peak memory usage: 20 MB
% 34.88/6.18 % (3214331)Instructions burned: 880 (million)
% 34.88/6.18 % (3214340)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=346631432:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 34.88/6.18 % (3214337)Instruction limit reached!
% 34.88/6.18 % (3214337)------------------------------
% 34.88/6.18 % (3214337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.88/6.18 % (3214337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.88/6.18 % (3214337)CaDiCaL version: 2.1.3
% 34.88/6.18 % (3214337)Termination reason: Instruction limit
% 34.88/6.18 % (3214337)Termination phase: Finite model building constraint generation
% 34.88/6.18 % (3214337)Time elapsed: 0.333 s
% 34.88/6.18 % (3214337)Peak memory usage: 79 MB
% 34.88/6.18 % (3214337)Instructions burned: 921 (million)
% 34.88/6.18 % (3214342)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2379630356:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 34.88/6.18 % TRYING [7]
% 34.88/6.18 % TRYING [8]
% 34.88/6.18 % (3214342)Instruction limit reached!
% 34.88/6.18 % (3214342)------------------------------
% 34.88/6.18 % (3214342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.88/6.18 % (3214342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.88/6.18 % (3214342)CaDiCaL version: 2.1.3
% 34.88/6.18 % (3214342)Termination reason: Instruction limit
% 34.88/6.18 % (3214342)Termination phase: Saturation
% 34.88/6.18 % (3214342)Time elapsed: 0.658 s
% 34.88/6.18 % (3214342)Peak memory usage: 15 MB
% 34.88/6.18 % (3214342)Instructions burned: 1474 (million)
% 34.88/6.18 % (3214344)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=410827400:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 34.88/6.18 % TRYING [77]
% 34.88/6.18 % TRYING [8]
% 34.88/6.18 % (3214340)Instruction limit reached!
% 34.88/6.18 % (3214340)------------------------------
% 34.88/6.18 % (3214340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.88/6.18 % (3214340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.88/6.18 % (3214340)CaDiCaL version: 2.1.3
% 34.88/6.18 % (3214340)Termination reason: Instruction limit
% 34.88/6.18 % (3214340)Termination phase: Saturation
% 34.88/6.18 % (3214340)Time elapsed: 2.651 s
% 34.88/6.18 % (3214340)Peak memory usage: 57 MB
% 34.88/6.18 % (3214340)Instructions burned: 5133 (million)
% 34.88/6.18 % (3214346)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2464607568:fmbsr=2.30978:i=2174_2963 on theBenchmark for (2963ds/2174Mi)
% 34.88/6.18 % TRYING [16]
% 34.88/6.18 % TRYING [9]
% 34.88/6.18 % (3214336)Instruction limit reached!
% 34.88/6.18 % (3214336)------------------------------
% 34.88/6.18 % (3214336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.88/6.18 % (3214344)Instruction limit reached!
% 34.88/6.18 % (3214344)------------------------------
% 34.88/6.18 % (3214344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.88/6.18 % (3214336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.88/6.18 % (3214336)CaDiCaL version: 2.1.3
% 34.88/6.18 % (3214336)Termination reason: Instruction limit
% 34.88/6.18 % (3214336)Termination phase: Finite model building constraint generation
% 34.88/6.18 % (3214336)Time elapsed: 3.275 s
% 34.88/6.18 % (3214336)Peak memory usage: 592 MB
% 34.88/6.18 % (3214336)Instructions burned: 9575 (million)
% 34.88/6.18 % (3214344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.88/6.18 % (3214344)CaDiCaL version: 2.1.3
% 34.88/6.18 % (3214344)Termination reason: Instruction limit
% 34.88/6.18 % (3214344)Termination phase: Finite model building constraint generation
% 34.88/6.18 % (3214344)Time elapsed: 2.235 s
% 34.88/6.18 % (3214344)Peak memory usage: 414 MB
% 34.88/6.18 % (3214344)Instructions burned: 6366 (million)
% 34.88/6.18 % (3214348)ott-2_1_sil=16000:newcnf=on:random_seed=1738822475:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2957 on theBenchmark for (2957ds/869Mi)
% 34.88/6.18 % (3214349)ott+10_1_sil=32000:tgt=ground:random_seed=496256974:i=5114:av=off_2956 on theBenchmark for (2956ds/5114Mi)
% 34.88/6.18 % (3214346)Instruction limit reached!
% 34.88/6.18 % (3214346)------------------------------
% 34.88/6.18 % (3214346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.88/6.18 % (3214346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.88/6.18 % (3214346)CaDiCaL version: 2.1.3
% 34.88/6.18 % (3214346)Termination reason: Instruction limit
% 34.88/6.18 % (3214346)Termination phase: Finite model building constraint generation
% 34.88/6.18 % (3214346)Time elapsed: 0.750 s
% 34.88/6.18 % (3214346)Peak memory usage: 138 MB
% 34.88/6.18 % (3214346)Instructions burned: 2177 (million)
% 34.88/6.18 % (3214352)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3774635588:i=54282_2955 on theBenchmark for (2955ds/54282Mi)
% 34.88/6.18 % TRYING [1]
% 34.88/6.18 % TRYING [2]
% 34.88/6.18 % TRYING [3]
% 34.88/6.18 % TRYING [4]
% 34.88/6.18 % TRYING [9]
% 34.88/6.18 % TRYING [5]
% 34.88/6.18 % (3214348)Instruction limit reached!
% 34.88/6.18 % (3214348)------------------------------
% 34.88/6.18 % (3214348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.88/6.18 % (3214348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.88/6.18 % (3214348)CaDiCaL version: 2.1.3
% 34.88/6.18 % (3214348)Termination reason: Instruction limit
% 34.88/6.18 % (3214348)Termination phase: Saturation
% 34.88/6.18 % (3214348)Time elapsed: 0.462 s
% 34.88/6.18 % (3214348)Peak memory usage: 27 MB
% 34.88/6.18 % (3214348)Instructions burned: 870 (million)
% 34.88/6.18 % TRYING [6]
% 34.88/6.18 % (3214354)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3691723244:i=3512:aac=none_2952 on theBenchmark for (2952ds/3512Mi)
% 34.88/6.18 % TRYING [7]
% 34.88/6.18 % (3214334)Instruction limit reached!
% 34.88/6.18 % (3214334)------------------------------
% 34.88/6.18 % (3214334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.88/6.18 % (3214334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.88/6.18 % (3214334)CaDiCaL version: 2.1.3
% 34.88/6.18 % (3214334)Termination reason: Instruction limit
% 34.88/6.18 % (3214334)Termination phase: Finite model building constraint generation
% 34.88/6.18 % (3214334)Time elapsed: 4.852 s
% 34.88/6.18 % (3214334)Peak memory usage: 244 MB
% 34.88/6.18 % (3214334)Instructions burned: 22063 (million)
% 34.88/6.18 % (3214356)dis+21_1_sil=32000:sas=cadical:random_seed=2862959963:i=3773:amm=off_2945 on theBenchmark for (2945ds/3773Mi)
% 34.88/6.18 % (3214301) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3214295-3214301"...
% 34.88/6.18 % (3214301)...printing done.
% 34.88/6.18 % (3214301)Refutation found. Thanks to Tanya!
% 34.88/6.18 % SZS status Unsatisfiable for theBenchmark
% 34.88/6.18 % SZS output start Proof for theBenchmark
% See solution above
% 34.88/6.19 % (3214301)------------------------------
% 34.88/6.19 % (3214301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.88/6.19 % (3214301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.88/6.19 % (3214301)CaDiCaL version: 2.1.3
% 34.88/6.19 % (3214301)Termination reason: Refutation
% 34.88/6.19 % (3214301)Time elapsed: 5.694 s
% 34.88/6.19 % (3214301)Peak memory usage: 99 MB
% 34.88/6.19 % (3214301)Instructions burned: 10163 (million)
% 34.88/6.19 % (3214295)Success in time 5.789 s
% 34.88/6.19 % Vampire exiting
%------------------------------------------------------------------------------