%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC087-1 : 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 : 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 01:04:36 PM UTC 2026
% Result : Unsatisfiable 8.65s 2.81s
% Output : Refutation 8.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 39
% Syntax : Number of formulae : 197 ( 28 unt; 16 def)
% Number of atoms : 705 ( 61 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 985 ( 477 ~; 492 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 17 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 98 ( 0 sgn 98 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause11) ).
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(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause75) ).
fof(f76,axiom,
! [X0] :
( ~ ssList(X0)
| ssItem(hd(X0))
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause76) ).
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(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] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f107,axiom,
! [X0] :
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause104) ).
fof(f118,axiom,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause115) ).
fof(f119,axiom,
! [X0,X1] :
( cons(X0,nil) != X1
| ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause116) ).
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(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(f210,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| sk3 = X0
| ~ ssList(X1)
| ~ ssList(X2)
| tl(sk4) != X1
| app(X1,X2) != X0
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk4) != X3
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f214,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f206,f204,f204]) ).
fof(f218,plain,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f210,f204,f205]) ).
fof(f225,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f118]) ).
fof(f226,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| singletonP(cons(X0,nil)) ),
inference(equality_resolution,[],[f119]) ).
fof(f233,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(f236,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(f247,plain,
! [X2,X3,X0] :
( ~ ssList(X0)
| sk3 = X0
| ~ ssList(tl(sk4))
| ~ ssList(X2)
| app(tl(sk4),X2) != X0
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk4) != X3
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f211]) ).
fof(f248,plain,
! [X2,X3] :
( ~ ssList(app(tl(sk4),X2))
| sk3 = app(tl(sk4),X2)
| ~ ssList(tl(sk4))
| ~ ssList(X2)
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk4) != X3
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f247]) ).
fof(f249,plain,
! [X3] :
( ~ ssList(app(tl(sk4),cons(X3,nil)))
| sk3 = app(tl(sk4),cons(X3,nil))
| ~ ssList(tl(sk4))
| ~ ssList(cons(X3,nil))
| ~ ssItem(X3)
| hd(sk4) != X3
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f248]) ).
fof(f250,plain,
( ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
| sk3 = app(tl(sk4),cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssItem(hd(sk4))
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f249]) ).
fof(f289,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ duplicatefreeP(X0)
| ~ ssItem(X1) ),
inference(consistent_polarity_flipping,[],[f72]) ).
fof(f290,plain,
! [X0] :
( ~ ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f76]) ).
fof(f296,plain,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f86]) ).
fof(f320,plain,
! [X0] :
( singletonP(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f226]) ).
fof(f322,plain,
! [X0,X1] :
( ~ ssList(X1)
| ssItem(X0)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(consistent_polarity_flipping,[],[f126]) ).
fof(f363,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,[],[f233]) ).
fof(f368,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,[],[f236]) ).
fof(f377,plain,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| segmentP(sk4,X0)
| segmentP(sk3,X0)
| ~ neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f218]) ).
fof(f378,plain,
( ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
| sk3 = app(tl(sk4),cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ssItem(hd(sk4))
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f250]) ).
fof(f379,plain,
( ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
| sk3 = app(tl(sk4),cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ssItem(hd(sk4))
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(duplicate_literal_removal,[],[f378]) ).
fof(f381,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f214]) ).
fof(f386,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f225]) ).
fof(f389,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f390,plain,
( neq(sk4,nil)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f393,definition,
( spl0_2
<=> neq(nil,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f395,plain,
( ~ neq(nil,sk4)
| spl0_2 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f397,definition,
( spl0_3
<=> ssItem(hd(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f398,plain,
( ~ ssItem(hd(sk4))
| spl0_3 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f399,plain,
( ssItem(hd(sk4))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f401,definition,
( spl0_4
<=> ssList(cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f402,plain,
( ssList(cons(hd(sk4),nil))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f403,plain,
( ~ ssList(cons(hd(sk4),nil))
| spl0_4 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f405,definition,
( spl0_5
<=> ssList(tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f406,plain,
( ssList(tl(sk4))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f407,plain,
( ~ ssList(tl(sk4))
| spl0_5 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f409,definition,
( spl0_6
<=> sk3 = app(tl(sk4),cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f411,plain,
( sk3 = app(tl(sk4),cons(hd(sk4),nil))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f413,definition,
( spl0_7
<=> ssList(app(tl(sk4),cons(hd(sk4),nil))) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f415,plain,
( ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
| spl0_7 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f416,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f379,f413,f409,f405,f401,f397,f393,f389]) ).
fof(f418,definition,
( spl0_8
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(sk3,X0)
| segmentP(sk4,X0)
| ~ neq(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f419,plain,
( ! [X0] :
( ~ neq(X0,nil)
| segmentP(sk3,X0)
| segmentP(sk4,X0)
| ~ ssList(X0) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f420,plain,
( ~ spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f377,f418,f389]) ).
fof(f423,plain,
spl0_1,
inference(avatar_split_clause,[],[f381,f389]) ).
fof(f429,definition,
( spl0_10
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f430,plain,
( ssList(nil)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f457,definition,
( spl0_16
<=> ! [X1] : ~ ssItem(X1) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f458,plain,
( ! [X1] : ~ ssItem(X1)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f460,definition,
( spl0_17
<=> ! [X0] :
( ~ ssList(X0)
| ~ duplicatefreeP(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f461,plain,
( ! [X0] :
( ~ duplicatefreeP(X0)
| ~ ssList(X0) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f462,plain,
( spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f289,f460,f457]) ).
fof(f465,plain,
spl0_10,
inference(avatar_split_clause,[],[f8,f429]) ).
fof(f520,plain,
sk3 = app(sk3,nil),
inference(resolution,[],[f73,f202]) ).
fof(f575,plain,
( ! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1) )
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f296,f458]) ).
fof(f585,plain,
( ~ ssList(nil)
| ~ ssList(sk4)
| nil = sk4
| spl0_2 ),
inference(resolution,[],[f102,f395]) ).
fof(f586,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil = X0
| segmentP(sk3,X0)
| segmentP(sk4,X0)
| ~ ssList(X0) )
| ~ spl0_8 ),
inference(resolution,[],[f102,f419]) ).
fof(f589,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil = X0
| segmentP(sk3,X0)
| segmentP(sk4,X0) )
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f586]) ).
fof(f590,plain,
( ! [X0] :
( segmentP(sk3,X0)
| nil = X0
| ~ ssList(X0)
| segmentP(sk4,X0) )
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f589,f430]) ).
fof(f591,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_2
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f585,f430]) ).
fof(f592,plain,
( nil = sk4
| spl0_2
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f591,f203]) ).
fof(f629,plain,
( neq(nil,nil)
| ~ spl0_1
| spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f390,f592]) ).
fof(f630,plain,
( ~ neq(nil,nil)
| spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f395,f592]) ).
fof(f641,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f630,f629]) ).
fof(f642,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f641]) ).
fof(f662,plain,
( ~ ssList(nil)
| ssItem(hd(sk4))
| spl0_4 ),
inference(resolution,[],[f296,f403]) ).
fof(f665,plain,
( ssItem(hd(sk4))
| spl0_4
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f662,f430]) ).
fof(f666,plain,
( spl0_3
| spl0_4
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f665,f429,f401,f397]) ).
fof(f667,plain,
( ~ ssList(sk4)
| nil = sk4
| ~ spl0_3 ),
inference(resolution,[],[f399,f290]) ).
fof(f668,plain,
( nil = sk4
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f667,f203]) ).
fof(f670,plain,
( neq(nil,nil)
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f390,f668]) ).
fof(f680,plain,
( ~ ssList(nil)
| ~ spl0_1
| ~ spl0_3 ),
inference(resolution,[],[f670,f386]) ).
fof(f682,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f680,f430]) ).
fof(f683,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f682]) ).
fof(f687,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_5 ),
inference(resolution,[],[f407,f75]) ).
fof(f688,plain,
( nil = sk4
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f687,f203]) ).
fof(f690,plain,
( neq(nil,nil)
| ~ spl0_1
| spl0_5 ),
inference(superposition,[],[f390,f688]) ).
fof(f701,plain,
( ~ ssList(nil)
| ~ spl0_1
| spl0_5 ),
inference(resolution,[],[f690,f386]) ).
fof(f703,plain,
( $false
| ~ spl0_1
| spl0_5
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f701,f430]) ).
fof(f704,plain,
( ~ spl0_1
| spl0_5
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f703]) ).
fof(f710,plain,
( cons(hd(sk4),nil) = app(nil,cons(hd(sk4),nil))
| ~ spl0_4 ),
inference(resolution,[],[f402,f74]) ).
fof(f714,plain,
( ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| spl0_7 ),
inference(resolution,[],[f415,f85]) ).
fof(f715,plain,
( ~ ssList(cons(hd(sk4),nil))
| ~ spl0_5
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f714,f406]) ).
fof(f716,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f715,f402]) ).
fof(f717,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f716]) ).
fof(f863,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| nil = sk4 ),
inference(resolution,[],[f107,f203]) ).
fof(f865,definition,
( spl0_22
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f867,plain,
( nil = sk4
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f869,definition,
( spl0_23
<=> sk4 = cons(hd(sk4),tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f871,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f872,plain,
( spl0_22
| spl0_23 ),
inference(avatar_split_clause,[],[f863,f869,f865]) ).
fof(f889,definition,
( spl0_27
<=> nil = cons(hd(sk4),nil) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f890,plain,
( nil != cons(hd(sk4),nil)
| spl0_27 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f891,plain,
( nil = cons(hd(sk4),nil)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f904,plain,
( neq(nil,nil)
| ~ spl0_1
| ~ spl0_22 ),
inference(superposition,[],[f390,f867]) ).
fof(f1070,plain,
( ~ ssList(nil)
| ~ spl0_1
| ~ spl0_22 ),
inference(resolution,[],[f904,f386]) ).
fof(f1072,plain,
( $false
| ~ spl0_1
| ~ spl0_10
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1070,f430]) ).
fof(f1073,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1072]) ).
fof(f1258,plain,
( singletonP(nil)
| ~ ssList(nil)
| ssItem(hd(sk4))
| ~ spl0_27 ),
inference(superposition,[],[f320,f891]) ).
fof(f1270,plain,
( ~ ssList(nil)
| ssItem(hd(sk4))
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1258,f11]) ).
fof(f1278,plain,
( ssItem(hd(sk4))
| ~ spl0_10
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1270,f430]) ).
fof(f1282,plain,
( $false
| spl0_3
| ~ spl0_10
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1278,f398]) ).
fof(f1283,plain,
( spl0_3
| ~ spl0_10
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1282]) ).
fof(f1953,plain,
( ! [X0] :
( ~ ssList(app(sk3,X0))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(X0)
| ~ segmentP(app(sk3,X0),cons(hd(sk4),nil)) )
| ~ spl0_6 ),
inference(superposition,[],[f363,f411]) ).
fof(f1962,plain,
( ! [X0] :
( ~ ssList(app(sk3,X0))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(X0)
| ~ segmentP(app(sk3,X0),cons(hd(sk4),nil)) )
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1953,f406]) ).
fof(f1967,plain,
( ! [X0] :
( ~ segmentP(app(sk3,X0),cons(hd(sk4),nil))
| ~ ssList(X0)
| ~ ssList(app(sk3,X0)) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1962,f402]) ).
fof(f2041,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X2)
| ~ ssList(X0)
| ssItem(X1)
| ~ ssList(X3) )
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f368,f461]) ).
fof(f2043,plain,
( ! [X0] :
( ~ ssList(app(sk3,cons(hd(sk4),X0)))
| ~ ssList(nil)
| ~ ssList(tl(sk4))
| ssItem(hd(sk4))
| ~ ssList(X0) )
| ~ spl0_6
| ~ spl0_17 ),
inference(superposition,[],[f2041,f411]) ).
fof(f2044,plain,
( ! [X0] :
( ~ ssList(app(sk3,cons(hd(sk4),X0)))
| ~ ssList(tl(sk4))
| ssItem(hd(sk4))
| ~ ssList(X0) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f2043,f430]) ).
fof(f2046,plain,
( ! [X0] :
( ~ ssList(app(sk3,cons(hd(sk4),X0)))
| ssItem(hd(sk4))
| ~ ssList(X0) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f2044,f406]) ).
fof(f2054,plain,
( ! [X0] :
( ~ ssList(app(sk3,cons(hd(sk4),X0)))
| ~ ssList(X0) )
| spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f2046,f398]) ).
fof(f2079,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) )
| ~ spl0_16 ),
inference(backward_subsumption_resolution,[],[f322,f458]) ).
fof(f2403,plain,
( ! [X0] : cons(X0,tl(sk4)) = app(cons(X0,nil),tl(sk4))
| ~ spl0_5
| ~ spl0_16 ),
inference(resolution,[],[f2079,f406]) ).
fof(f3863,plain,
( ~ ssList(app(sk3,sk4))
| ~ ssList(tl(sk4))
| spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_17
| ~ spl0_23 ),
inference(superposition,[],[f2054,f871]) ).
fof(f3864,plain,
( ~ ssList(app(sk3,sk4))
| spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f3863,f406]) ).
fof(f3906,plain,
( ~ ssList(sk3)
| ~ ssList(sk4)
| spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_17
| ~ spl0_23 ),
inference(resolution,[],[f3864,f85]) ).
fof(f3907,plain,
( ~ ssList(sk4)
| spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f3906,f202]) ).
fof(f3908,plain,
( $false
| spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f3907,f203]) ).
fof(f3909,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_17
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f3908]) ).
fof(f5399,plain,
( ! [X0] :
( ~ ssList(app(cons(hd(sk4),nil),X0))
| ~ ssList(nil)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(X0)
| ~ segmentP(app(cons(hd(sk4),nil),X0),cons(hd(sk4),nil)) )
| ~ spl0_4 ),
inference(superposition,[],[f363,f710]) ).
fof(f5410,plain,
( ! [X0] :
( ~ ssList(app(cons(hd(sk4),nil),X0))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(app(cons(hd(sk4),nil),X0),cons(hd(sk4),nil)) )
| ~ spl0_4
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f5399,f575]) ).
fof(f5421,plain,
( ! [X0] :
( ~ segmentP(app(cons(hd(sk4),nil),X0),cons(hd(sk4),nil))
| ~ ssList(X0)
| ~ ssList(app(cons(hd(sk4),nil),X0)) )
| ~ spl0_4
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f5410,f430]) ).
fof(f5540,definition,
( spl0_155
<=> segmentP(sk3,cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
fof(f5541,plain,
( ~ segmentP(sk3,cons(hd(sk4),nil))
| spl0_155 ),
inference(avatar_component_clause,[],[f5540]) ).
fof(f5736,definition,
( spl0_171
<=> segmentP(sk4,cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).
fof(f5738,plain,
( segmentP(sk4,cons(hd(sk4),nil))
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f5736]) ).
fof(f6652,plain,
( ~ segmentP(sk3,cons(hd(sk4),nil))
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f1967,f520]) ).
fof(f6654,plain,
( ~ segmentP(sk3,cons(hd(sk4),nil))
| ~ ssList(sk3)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f6652,f430]) ).
fof(f6656,plain,
( ~ segmentP(sk3,cons(hd(sk4),nil))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f6654,f202]) ).
fof(f6657,plain,
( ~ spl0_155
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f6656,f429,f409,f405,f401,f5540]) ).
fof(f13014,plain,
( nil = cons(hd(sk4),nil)
| ~ ssList(cons(hd(sk4),nil))
| segmentP(sk4,cons(hd(sk4),nil))
| ~ spl0_8
| ~ spl0_10
| spl0_155 ),
inference(resolution,[],[f5541,f590]) ).
fof(f13017,plain,
( ~ ssList(cons(hd(sk4),nil))
| segmentP(sk4,cons(hd(sk4),nil))
| ~ spl0_8
| ~ spl0_10
| spl0_27
| spl0_155 ),
inference(forward_subsumption_resolution,[],[f13014,f890]) ).
fof(f13019,plain,
( segmentP(sk4,cons(hd(sk4),nil))
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| spl0_27
| spl0_155 ),
inference(forward_subsumption_resolution,[],[f13017,f402]) ).
fof(f13020,plain,
( spl0_171
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| spl0_27
| spl0_155 ),
inference(avatar_split_clause,[],[f13019,f5540,f889,f429,f418,f401,f5736]) ).
fof(f139549,plain,
( ~ segmentP(cons(hd(sk4),tl(sk4)),cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),tl(sk4)))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_16 ),
inference(superposition,[],[f5421,f2403]) ).
fof(f139559,plain,
( ~ segmentP(cons(hd(sk4),tl(sk4)),cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f139549,f575]) ).
fof(f139597,plain,
( ~ segmentP(cons(hd(sk4),tl(sk4)),cons(hd(sk4),nil))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f139559,f406]) ).
fof(f139634,plain,
( ~ segmentP(sk4,cons(hd(sk4),nil))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_16
| ~ spl0_23 ),
inference(forward_demodulation,[],[f139597,f871]) ).
fof(f139636,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_16
| ~ spl0_23
| ~ spl0_171 ),
inference(forward_subsumption_resolution,[],[f139634,f5738]) ).
fof(f139637,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_16
| ~ spl0_23
| ~ spl0_171 ),
inference(avatar_contradiction_clause,[],[f139636]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f416]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_8 ),
inference(sat_conversion,[],[f420]) ).
cnf(s5,plain,
spl0_1,
inference(sat_conversion,[],[f423]) ).
cnf(s12,plain,
( spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f462]) ).
cnf(s15,plain,
spl0_10,
inference(sat_conversion,[],[f465]) ).
cnf(s19,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_10 ),
inference(sat_conversion,[],[f642]) ).
cnf(s21,plain,
( spl0_3
| spl0_4
| ~ spl0_10 ),
inference(sat_conversion,[],[f666]) ).
cnf(s22,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_10 ),
inference(sat_conversion,[],[f683]) ).
cnf(s23,plain,
( ~ spl0_1
| spl0_5
| ~ spl0_10 ),
inference(sat_conversion,[],[f704]) ).
cnf(s24,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f717]) ).
cnf(s25,plain,
( spl0_22
| spl0_23 ),
inference(sat_conversion,[],[f872]) ).
cnf(s43,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_22 ),
inference(sat_conversion,[],[f1073]) ).
cnf(s47,plain,
( spl0_3
| ~ spl0_10
| ~ spl0_27 ),
inference(sat_conversion,[],[f1283]) ).
cnf(s114,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_17
| ~ spl0_23 ),
inference(sat_conversion,[],[f3909]) ).
cnf(s263,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_155 ),
inference(sat_conversion,[],[f6657]) ).
cnf(s633,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| spl0_27
| spl0_155
| spl0_171 ),
inference(sat_conversion,[],[f13020]) ).
cnf(s5218,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_16
| ~ spl0_23
| ~ spl0_171 ),
inference(sat_conversion,[],[f139637]) ).
cnf(s5293,plain,
~ spl0_22,
inference(rat,[],[s43,s15,s5]) ).
cnf(s5294,plain,
spl0_5,
inference(rat,[],[s23,s15,s5]) ).
cnf(s5295,plain,
~ spl0_3,
inference(rat,[],[s22,s15,s5]) ).
cnf(s5296,plain,
spl0_2,
inference(rat,[],[s19,s15,s5]) ).
cnf(s5306,plain,
spl0_23,
inference(rat,[],[s25,s5293]) ).
cnf(s5319,plain,
~ spl0_27,
inference(rat,[],[s47,s15,s5295]) ).
cnf(s5320,plain,
spl0_4,
inference(rat,[],[s21,s15,s5295]) ).
cnf(s5372,plain,
spl0_7,
inference(rat,[],[s24,s5294,s5320]) ).
cnf(s5383,plain,
spl0_8,
inference(rat,[],[s2,s5]) ).
cnf(s5396,plain,
spl0_6,
inference(rat,[],[s1,s5372,s5294,s5320,s5295,s5296,s5]) ).
cnf(s5403,plain,
~ spl0_155,
inference(rat,[],[s263,s5320,s15,s5294,s5396]) ).
cnf(s5404,plain,
~ spl0_17,
inference(rat,[],[s114,s5306,s5295,s15,s5294,s5396]) ).
cnf(s5428,plain,
spl0_171,
inference(rat,[],[s633,s5383,s5320,s5319,s15,s5403]) ).
cnf(s5429,plain,
spl0_16,
inference(rat,[],[s12,s5404]) ).
cnf(s5493,plain,
$false,
inference(rat,[],[s5218,s5320,s5306,s5294,s15,s5428,s5429]) ).
fof(f139638,plain,
$false,
inference(avatar_sat_refutation,[],[s5493]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC087-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.36 % Computer : n003.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Mon Sep 28 07:50:27 UTC 2026
% 0.05/0.36 % CPUTime :
% 0.05/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.05/0.39 Running first-order model finding
% 0.05/0.39 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
% 8.65/2.81 % (1414923)Will run a generic schedule for satisfiability detection.
% 8.65/2.81 % (1414929)% WARNING: option uhcvi not known.
% 8.65/2.81 % (1414929)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3760158775:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.65/2.81 % (1414930)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2923271452:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.65/2.81 % (1414928)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3525755777_2999 on theBenchmark for (2999ds/0Mi)
% 8.65/2.81 % (1414931)dis+10_1_sil=32000:sp=arity:random_seed=3639745659:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.65/2.81 % (1414933)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1702328906:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.65/2.81 % (1414932)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=102426877:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.65/2.81 % (1414934)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1486162095:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.65/2.81 % TRYING [1]
% 8.65/2.81 % TRYING [2]
% 8.65/2.81 % TRYING [3]
% 8.65/2.81 % TRYING [4]
% 8.65/2.81 % (1414931)Instruction limit reached!
% 8.65/2.81 % (1414931)------------------------------
% 8.65/2.81 % (1414931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.65/2.81 % (1414931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.81 % (1414931)CaDiCaL version: 2.1.3
% 8.65/2.81 % (1414931)Termination reason: Instruction limit
% 8.65/2.81 % (1414931)Termination phase: Saturation
% 8.65/2.81 % (1414931)Time elapsed: 0.061 s
% 8.65/2.81 % (1414931)Peak memory usage: 13 MB
% 8.65/2.81 % (1414931)Instructions burned: 105 (million)
% 8.65/2.81 % (1414933)Instruction limit reached!
% 8.65/2.81 % (1414933)------------------------------
% 8.65/2.81 % (1414933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.65/2.81 % (1414933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.81 % (1414933)CaDiCaL version: 2.1.3
% 8.65/2.81 % (1414933)Termination reason: Instruction limit
% 8.65/2.81 % (1414933)Termination phase: Saturation
% 8.65/2.81 % (1414933)Time elapsed: 0.068 s
% 8.65/2.81 % (1414933)Peak memory usage: 14 MB
% 8.65/2.81 % (1414933)Instructions burned: 131 (million)
% 8.65/2.81 % (1414942)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2240711923:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.65/2.81 % (1414943)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4122353339:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.65/2.81 % TRYING [1]
% 8.65/2.81 % (1414934)Instruction limit reached!
% 8.65/2.81 % (1414934)------------------------------
% 8.65/2.81 % (1414934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.65/2.81 % (1414934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.81 % (1414934)CaDiCaL version: 2.1.3
% 8.65/2.81 % (1414934)Termination reason: Instruction limit
% 8.65/2.81 % (1414934)Termination phase: Saturation
% 8.65/2.81 % (1414934)Time elapsed: 0.094 s
% 8.65/2.81 % (1414934)Peak memory usage: 14 MB
% 8.65/2.81 % (1414934)Instructions burned: 159 (million)
% 8.65/2.81 % TRYING [2]
% 8.65/2.81 % TRYING [3]
% 8.65/2.81 % TRYING [5]
% 8.65/2.81 % (1414932)Instruction limit reached!
% 8.65/2.81 % (1414932)------------------------------
% 8.65/2.81 % (1414932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.65/2.81 % (1414932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.81 % (1414932)CaDiCaL version: 2.1.3
% 8.65/2.81 % (1414932)Termination reason: Instruction limit
% 8.65/2.81 % (1414932)Termination phase: Saturation
% 8.65/2.81 % (1414932)Time elapsed: 0.112 s
% 8.65/2.81 % (1414932)Peak memory usage: 13 MB
% 8.65/2.81 % (1414932)Instructions burned: 116 (million)
% 8.65/2.81 % (1414949)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=4117123148:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.65/2.81 % TRYING [4]
% 8.65/2.81 % (1414955)ott-21_1_sil=16000:fs=off:random_seed=308565213:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.65/2.81 % (1414943)Instruction limit reached!
% 8.65/2.81 % (1414943)------------------------------
% 8.65/2.81 % (1414943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.65/2.81 % (1414943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.81 % (1414943)CaDiCaL version: 2.1.3
% 8.65/2.81 % (1414943)Termination reason: Instruction limit
% 8.65/2.81 % (1414943)Termination phase: Saturation
% 8.65/2.81 % (1414943)Time elapsed: 0.111 s
% 8.65/2.81 % (1414943)Peak memory usage: 13 MB
% 8.65/2.81 % (1414943)Instructions burned: 132 (million)
% 8.65/2.81 % (1414958)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=226558124:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 8.65/2.81 % TRYING [5]
% 8.65/2.81 % (1414955)Instruction limit reached!
% 8.65/2.81 % (1414955)------------------------------
% 8.65/2.81 % (1414955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.65/2.81 % (1414955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.81 % (1414955)CaDiCaL version: 2.1.3
% 8.65/2.81 % (1414955)Termination reason: Instruction limit
% 8.65/2.81 % (1414955)Termination phase: Saturation
% 8.65/2.81 % (1414955)Time elapsed: 0.185 s
% 8.65/2.81 % (1414955)Peak memory usage: 13 MB
% 8.65/2.81 % (1414955)Instructions burned: 180 (million)
% 8.65/2.81 % TRYING [6]
% 8.65/2.81 % (1414967)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2963773760:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 8.65/2.81 % TRYING [1]
% 8.65/2.81 % TRYING [2]
% 8.65/2.81 % TRYING [3]
% 8.65/2.81 % TRYING [4]
% 8.65/2.81 % TRYING [6]
% 8.65/2.81 % (1414942)Instruction limit reached!
% 8.65/2.81 % (1414942)------------------------------
% 8.65/2.81 % (1414942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.65/2.81 % (1414942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.81 % (1414942)CaDiCaL version: 2.1.3
% 8.65/2.81 % (1414942)Termination reason: Instruction limit
% 8.65/2.81 % (1414942)Termination phase: Finite model building constraint generation
% 8.65/2.81 % (1414942)Time elapsed: 0.480 s
% 8.65/2.81 % (1414942)Peak memory usage: 36 MB
% 8.65/2.81 % (1414942)Instructions burned: 715 (million)
% 8.65/2.81 % (1414970)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=56691336:i=1179_2993 on theBenchmark for (2993ds/1179Mi)
% 8.65/2.81 % TRYING [5]
% 8.65/2.81 % (1414958)Instruction limit reached!
% 8.65/2.81 % (1414958)------------------------------
% 8.65/2.81 % (1414958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.65/2.81 % (1414958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.81 % (1414958)CaDiCaL version: 2.1.3
% 8.65/2.81 % (1414958)Termination reason: Instruction limit
% 8.65/2.81 % (1414958)Termination phase: Saturation
% 8.65/2.81 % (1414958)Time elapsed: 0.526 s
% 8.65/2.81 % (1414958)Peak memory usage: 15 MB
% 8.65/2.81 % (1414958)Instructions burned: 477 (million)
% 8.65/2.81 % (1414973)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4124432107:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 8.65/2.81 % (1414949)Instruction limit reached!
% 8.65/2.81 % (1414949)------------------------------
% 8.65/2.81 % (1414949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.65/2.81 % (1414949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.81 % (1414949)CaDiCaL version: 2.1.3
% 8.65/2.81 % (1414949)Termination reason: Instruction limit
% 8.65/2.81 % (1414949)Termination phase: Saturation
% 8.65/2.81 % (1414949)Time elapsed: 0.665 s
% 8.65/2.81 % (1414949)Peak memory usage: 20 MB
% 8.65/2.81 % (1414949)Instructions burned: 685 (million)
% 8.65/2.81 % (1414975)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=2811359673:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 8.65/2.81 % (1414967)Instruction limit reached!
% 8.65/2.81 % (1414967)------------------------------
% 8.65/2.81 % (1414967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.65/2.81 % (1414967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.81 % (1414967)CaDiCaL version: 2.1.3
% 8.65/2.81 % (1414967)Termination reason: Instruction limit
% 8.65/2.81 % (1414967)Termination phase: Finite model building SAT solving
% 8.65/2.81 % (1414967)Time elapsed: 0.475 s
% 8.65/2.81 % (1414967)Peak memory usage: 23 MB
% 8.65/2.81 % (1414967)Instructions burned: 867 (million)
% 8.65/2.81 % TRYING [14]
% 8.65/2.81 % (1414977)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4251347748:i=879:kws=inv_precedence:fsr=off_2990 on theBenchmark for (2990ds/879Mi)
% 8.65/2.81 % TRYING [7]
% 8.65/2.81 % (1414973)Instruction limit reached!
% 8.65/2.81 % (1414973)------------------------------
% 8.65/2.81 % (1414973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.65/2.81 % (1414973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.81 % (1414973)CaDiCaL version: 2.1.3
% 8.65/2.81 % (1414973)Termination reason: Instruction limit
% 8.65/2.81 % (1414973)Termination phase: Finite model building constraint generation
% 8.65/2.81 % (1414973)Time elapsed: 0.324 s
% 8.65/2.81 % (1414973)Peak memory usage: 72 MB
% 8.65/2.81 % (1414973)Instructions burned: 890 (million)
% 8.65/2.81 % (1414991)fmb+10_1_sil=64000:random_seed=202700887:i=22061:nm=2:gsp=on_2988 on theBenchmark for (2988ds/22061Mi)
% 8.65/2.81 % TRYING [1]
% 8.65/2.81 % TRYING [2]
% 8.65/2.81 % TRYING [3]
% 8.65/2.81 % (1414975)Instruction limit reached!
% 8.65/2.81 % (1414975)------------------------------
% 8.65/2.81 % (1414975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.65/2.81 % (1414975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.81 % (1414975)CaDiCaL version: 2.1.3
% 8.65/2.81 % (1414975)Termination reason: Instruction limit
% 8.65/2.81 % (1414975)Termination phase: Saturation
% 8.65/2.81 % (1414975)Time elapsed: 0.355 s
% 8.65/2.81 % (1414975)Peak memory usage: 19 MB
% 8.65/2.81 % (1414975)Instructions burned: 693 (million)
% 8.65/2.81 % (1415021)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3419279459:i=9515:nm=5_2987 on theBenchmark for (2987ds/9515Mi)
% 8.65/2.81 % TRYING [20]
% 8.65/2.81 % TRYING [4]
% 8.65/2.81 % (1414970)Instruction limit reached!
% 8.65/2.81 % (1414970)------------------------------
% 8.65/2.81 % (1414970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.65/2.81 % (1414970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.81 % (1414970)CaDiCaL version: 2.1.3
% 8.65/2.81 % (1414970)Termination reason: Instruction limit
% 8.65/2.81 % (1414970)Termination phase: Saturation
% 8.65/2.81 % (1414970)Time elapsed: 0.745 s
% 8.65/2.81 % (1414970)Peak memory usage: 26 MB
% 8.65/2.81 % (1414970)Instructions burned: 1180 (million)
% 8.65/2.81 % (1414977)Instruction limit reached!
% 8.65/2.81 % (1414977)------------------------------
% 8.65/2.81 % (1414977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.65/2.81 % (1414977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.81 % (1414977)CaDiCaL version: 2.1.3
% 8.65/2.81 % (1414977)Termination reason: Instruction limit
% 8.65/2.81 % (1414977)Termination phase: Saturation
% 8.65/2.81 % (1414977)Time elapsed: 0.460 s
% 8.65/2.81 % (1414977)Peak memory usage: 21 MB
% 8.65/2.81 % (1414977)Instructions burned: 880 (million)
% 8.65/2.81 % TRYING [5]
% 8.65/2.81 % (1415089)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=230307568:fmbsr=1.7:i=920_2986 on theBenchmark for (2986ds/920Mi)
% 8.65/2.81 % (1415090)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2905941996:i=5131_2986 on theBenchmark for (2986ds/5131Mi)
% 8.65/2.81 % TRYING [8]
% 8.65/2.81 % (1415089)Instruction limit reached!
% 8.65/2.81 % (1415089)------------------------------
% 8.65/2.81 % (1415089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.65/2.81 % (1415089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.81 % (1415089)CaDiCaL version: 2.1.3
% 8.65/2.81 % (1415089)Termination reason: Instruction limit
% 8.65/2.81 % (1415089)Termination phase: Finite model building constraint generation
% 8.65/2.81 % (1415089)Time elapsed: 0.329 s
% 8.65/2.81 % (1415089)Peak memory usage: 79 MB
% 8.65/2.81 % (1415089)Instructions burned: 920 (million)
% 8.65/2.81 % (1415140)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2873904784:i=1472:ins=7:fdi=8:gsp=on_2982 on theBenchmark for (2982ds/1472Mi)
% 8.65/2.81 % TRYING [6]
% 8.65/2.81 % TRYING [8]
% 8.65/2.81 % (1414929) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1414923-1414929"...
% 8.65/2.81 % (1414929)...printing done.
% 8.65/2.81 % (1414929)Refutation found. Thanks to Tanya!
% 8.65/2.81 % SZS status Unsatisfiable for theBenchmark
% 8.65/2.81 % SZS output start Proof for theBenchmark
% See solution above
% 8.65/2.81 % (1414929)------------------------------
% 8.65/2.81 % (1414929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.65/2.81 % (1414929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.81 % (1414929)CaDiCaL version: 2.1.3
% 8.65/2.81 % (1414929)Termination reason: Refutation
% 8.65/2.81 % (1414929)Time elapsed: 2.354 s
% 8.65/2.81 % (1414929)Peak memory usage: 72 MB
% 8.65/2.81 % (1414929)Instructions burned: 6694 (million)
% 8.65/2.81 % (1414923)Success in time 2.417 s
% 8.65/2.81 % Vampire exiting
%------------------------------------------------------------------------------