%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC341-1 : 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 : n015.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 01:05:37 PM UTC 2026
% Result : Unsatisfiable 17.19s 2.75s
% Output : Refutation 17.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 48
% Syntax : Number of formulae : 202 ( 32 unt; 16 def)
% Number of atoms : 587 ( 55 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 753 ( 368 ~; 369 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 17 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 147 ( 0 sgn 147 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause4) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause13) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause52) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause53) ).
fof(f56,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause56) ).
fof(f61,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause61) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause67) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause72) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
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(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause96) ).
fof(f98,axiom,
! [X0,X1] :
( cons(X0,X1) != nil
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause98) ).
fof(f99,plain,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(reorient_equations,[],[f98]) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f112,axiom,
! [X0] :
( ~ ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0
| nil = X0 ),
file('/export/starexec/sandbox/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/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(f143,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause132) ).
fof(f164,axiom,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause152) ).
fof(f182,axiom,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause169) ).
fof(f187,axiom,
! [X2,X3,X0,X1] :
( app(app(X0,X1),X2) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).
fof(f193,axiom,
! [X2,X3,X0,X1,X4] :
( app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ duplicatefreeP(X4)
| ~ ssList(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause179) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( cons(sk5,nil) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
( sk3 = cons(sk5,nil)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f208]) ).
fof(f210,negated_conjecture,
( memberP(sk4,sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f211,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f214,plain,
( ~ segmentP(sk4,sk3)
| ~ totalorderedP(sk3) ),
inference(definition_unfolding,[],[f211,f204,f205,f205]) ).
fof(f229,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(f232,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(f261,plain,
! [X0] :
( ~ segmentP(X0,nil)
| ~ ssList(X0) ),
inference(consistent_polarity_flipping,[],[f56]) ).
fof(f264,plain,
! [X0] :
( ~ frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(consistent_polarity_flipping,[],[f61]) ).
fof(f270,plain,
! [X0] :
( ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
inference(consistent_polarity_flipping,[],[f67]) ).
fof(f275,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ duplicatefreeP(X0)
| ~ ssItem(X1) ),
inference(consistent_polarity_flipping,[],[f72]) ).
fof(f282,plain,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f86]) ).
fof(f291,plain,
! [X0,X1] :
( ~ ssList(X1)
| ssItem(X0)
| tl(cons(X0,X1)) = X1 ),
inference(consistent_polarity_flipping,[],[f96]) ).
fof(f293,plain,
! [X0,X1] :
( nil != cons(X0,X1)
| ssItem(X0)
| ~ ssList(X1) ),
inference(consistent_polarity_flipping,[],[f99]) ).
fof(f295,plain,
! [X0,X1] :
( ~ neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f102]) ).
fof(f311,plain,
! [X0,X1] :
( ~ ssList(X1)
| ssItem(X0)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(consistent_polarity_flipping,[],[f126]) ).
fof(f320,plain,
! [X0,X1] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X1,skaf45(X0,X1)) = X0 ),
inference(consistent_polarity_flipping,[],[f143]) ).
fof(f332,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,[],[f229]) ).
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,[],[f232]) ).
fof(f361,plain,
( ~ ssItem(sk5)
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f207]) ).
fof(f362,plain,
( sk3 = cons(sk5,nil)
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f209]) ).
fof(f363,plain,
( memberP(sk4,sk5)
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f210]) ).
fof(f364,plain,
( segmentP(sk4,sk3)
| ~ totalorderedP(sk3) ),
inference(consistent_polarity_flipping,[],[f214]) ).
fof(f372,definition,
( spl0_1
<=> totalorderedP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f374,plain,
( ~ totalorderedP(sk3)
| spl0_1 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f376,definition,
( spl0_2
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f378,plain,
( segmentP(sk4,sk3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f379,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f364,f376,f372]) ).
fof(f381,definition,
( spl0_3
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f383,plain,
( neq(sk4,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f385,definition,
( spl0_4
<=> memberP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f387,plain,
( memberP(sk4,sk5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f388,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f363,f385,f381]) ).
fof(f390,definition,
( spl0_5
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f392,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f393,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f362,f390,f381]) ).
fof(f395,definition,
( spl0_6
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f397,plain,
( ~ ssItem(sk5)
| spl0_6 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f398,plain,
( spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f361,f395,f381]) ).
fof(f400,definition,
( spl0_7
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f404,definition,
( spl0_8
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f406,plain,
( nil = sk3
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f407,plain,
( ~ spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f206,f404,f400]) ).
fof(f413,definition,
( spl0_10
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f414,plain,
( ssList(nil)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f418,definition,
( spl0_11
<=> ! [X1] :
( ssItem(X1)
| totalorderedP(cons(X1,nil)) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f419,plain,
( ! [X1] :
( totalorderedP(cons(X1,nil))
| ssItem(X1) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f441,definition,
( spl0_16
<=> ! [X1] : ~ ssItem(X1) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f442,plain,
( ! [X1] : ~ ssItem(X1)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f444,definition,
( spl0_17
<=> ! [X0] :
( ~ ssList(X0)
| ~ duplicatefreeP(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f445,plain,
( ! [X0] :
( ~ duplicatefreeP(X0)
| ~ ssList(X0) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f446,plain,
( spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f275,f444,f441]) ).
fof(f447,plain,
spl0_11,
inference(avatar_split_clause,[],[f270,f418]) ).
fof(f449,plain,
spl0_10,
inference(avatar_split_clause,[],[f8,f413]) ).
fof(f460,plain,
( ! [X1] : totalorderedP(cons(X1,nil))
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f419,f442]) ).
fof(f493,plain,
! [X0] : skaf82(X0) = app(nil,skaf82(X0)),
inference(resolution,[],[f74,f13]) ).
fof(f546,plain,
( ! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1) )
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f282,f442]) ).
fof(f563,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| tl(cons(X0,X1)) = X1 )
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f291,f442]) ).
fof(f569,plain,
( ! [X0,X1] : skaf82(X1) = tl(cons(X0,skaf82(X1)))
| ~ spl0_16 ),
inference(resolution,[],[f563,f13]) ).
fof(f599,plain,
( ! [X0] : sk3 = tl(cons(X0,sk3))
| ~ spl0_16 ),
inference(resolution,[],[f563,f202]) ).
fof(f637,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| ~ spl0_3 ),
inference(resolution,[],[f295,f383]) ).
fof(f640,plain,
( ~ ssList(nil)
| nil = sk4
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f637,f203]) ).
fof(f641,plain,
( nil = sk4
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f640,f414]) ).
fof(f649,plain,
( totalorderedP(sk3)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_16 ),
inference(superposition,[],[f460,f392]) ).
fof(f658,plain,
( $false
| spl0_1
| ~ spl0_5
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f649,f374]) ).
fof(f659,plain,
( spl0_1
| ~ spl0_5
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f658]) ).
fof(f662,plain,
( spl0_7
| ~ spl0_3
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f641,f413,f381,f400]) ).
fof(f676,plain,
( ~ totalorderedP(nil)
| spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f374,f406]) ).
fof(f678,plain,
( $false
| spl0_1
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f676,f4]) ).
fof(f679,plain,
( spl0_1
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f678]) ).
fof(f681,plain,
( segmentP(sk4,nil)
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f378,f406]) ).
fof(f686,plain,
( ~ ssList(sk4)
| ~ spl0_2
| ~ spl0_8 ),
inference(resolution,[],[f681,f261]) ).
fof(f687,plain,
( $false
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f686,f203]) ).
fof(f688,plain,
( ~ spl0_2
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f687]) ).
fof(f896,plain,
! [X0,X1] :
( cons(X0,X1) = cons(skaf83(cons(X0,X1)),skaf82(cons(X0,X1)))
| nil = cons(X0,X1)
| ~ ssList(X1)
| ssItem(X0) ),
inference(resolution,[],[f112,f282]) ).
fof(f903,plain,
! [X0,X1] :
( cons(X0,X1) = cons(skaf83(cons(X0,X1)),skaf82(cons(X0,X1)))
| ~ ssList(X1)
| ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f896,f293]) ).
fof(f1319,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(X0)
| app(X0,skaf45(X0,X0)) = X0
| ~ ssList(X0) ),
inference(resolution,[],[f320,f264]) ).
fof(f1322,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,skaf45(X0,X0)) = X0 ),
inference(duplicate_literal_removal,[],[f1319]) ).
fof(f1524,plain,
( ! [X0] :
( segmentP(X0,sk3)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(sk4)
| segmentP(sk4,X0) )
| ~ spl0_2 ),
inference(resolution,[],[f332,f378]) ).
fof(f1526,plain,
( ! [X0] :
( segmentP(X0,sk3)
| ~ ssList(X0)
| ~ ssList(sk4)
| segmentP(sk4,X0) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f1524,f202]) ).
fof(f1528,plain,
( ! [X0] :
( ~ ssList(X0)
| segmentP(X0,sk3)
| segmentP(sk4,X0) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f1526,f203]) ).
fof(f1956,plain,
( ssItem(sk5)
| ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl0_4 ),
inference(resolution,[],[f345,f387]) ).
fof(f1975,plain,
( ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl0_4
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f1956,f397]) ).
fof(f1982,plain,
( sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl0_4
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f1975,f203]) ).
fof(f2360,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,[],[f354,f445]) ).
fof(f2374,plain,
( ! [X0,X1] :
( ~ ssList(app(app(X0,cons(sk5,X1)),sk3))
| ~ ssList(X1)
| ~ ssList(X0)
| ssItem(sk5)
| ~ ssList(nil) )
| ~ spl0_5
| ~ spl0_17 ),
inference(superposition,[],[f2360,f392]) ).
fof(f2383,plain,
( ! [X0,X1] :
( ~ ssList(app(app(X0,cons(sk5,X1)),sk3))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl0_5
| spl0_6
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f2374,f397]) ).
fof(f2400,plain,
( ! [X0,X1] :
( ~ ssList(app(app(X0,cons(sk5,X1)),sk3))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_5
| spl0_6
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f2383,f414]) ).
fof(f3204,plain,
( ! [X0] :
( ~ ssList(app(sk4,X0))
| ~ ssList(skaf42(sk4,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(X0)
| ~ segmentP(app(sk4,X0),cons(sk5,skaf43(sk5,sk4))) )
| ~ spl0_4
| spl0_6 ),
inference(superposition,[],[f349,f1982]) ).
fof(f3209,plain,
( ! [X0] :
( ~ ssList(app(sk4,X0))
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(X0)
| ~ segmentP(app(sk4,X0),cons(sk5,skaf43(sk5,sk4))) )
| ~ spl0_4
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f3204,f53]) ).
fof(f3216,definition,
( spl0_70
<=> ssList(cons(sk5,skaf43(sk5,sk4))) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f3217,plain,
( ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f3216]) ).
fof(f3218,plain,
( ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| spl0_70 ),
inference(avatar_component_clause,[],[f3216]) ).
fof(f3230,definition,
( spl0_73
<=> ! [X0] :
( ~ ssList(app(sk4,X0))
| ~ segmentP(app(sk4,X0),cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f3231,plain,
( ! [X0] :
( ~ segmentP(app(sk4,X0),cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(app(sk4,X0))
| ~ ssList(X0) )
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f3230]) ).
fof(f3232,plain,
( ~ spl0_70
| spl0_73
| ~ spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f3209,f395,f385,f3230,f3216]) ).
fof(f3448,plain,
( ~ ssList(app(sk4,sk3))
| ~ ssList(skaf43(sk5,sk4))
| ~ ssList(skaf42(sk4,sk5))
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f2400,f1982]) ).
fof(f3449,plain,
( ~ ssList(app(sk4,sk3))
| ~ ssList(skaf42(sk4,sk5))
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f3448,f52]) ).
fof(f3452,plain,
( ~ ssList(app(sk4,sk3))
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f3449,f53]) ).
fof(f4939,plain,
( ~ ssList(sk4)
| ~ ssList(sk3)
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_10
| ~ spl0_17 ),
inference(resolution,[],[f85,f3452]) ).
fof(f4998,plain,
( ~ ssList(sk3)
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f4939,f203]) ).
fof(f5003,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f4998,f202]) ).
fof(f5004,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f5003]) ).
fof(f5029,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) )
| ~ spl0_16 ),
inference(backward_subsumption_resolution,[],[f311,f442]) ).
fof(f5383,plain,
( ! [X2,X0,X1] : cons(X0,skaf43(X1,X2)) = app(cons(X0,nil),skaf43(X1,X2))
| ~ spl0_16 ),
inference(resolution,[],[f5029,f52]) ).
fof(f5803,plain,
( ~ ssList(skaf43(sk5,sk4))
| ~ spl0_16
| spl0_70 ),
inference(resolution,[],[f3218,f546]) ).
fof(f5804,plain,
( $false
| ~ spl0_16
| spl0_70 ),
inference(forward_subsumption_resolution,[],[f5803,f52]) ).
fof(f5805,plain,
( ~ spl0_16
| spl0_70 ),
inference(avatar_contradiction_clause,[],[f5804]) ).
fof(f5851,plain,
( segmentP(cons(sk5,skaf43(sk5,sk4)),sk3)
| segmentP(sk4,cons(sk5,skaf43(sk5,sk4)))
| ~ spl0_2
| ~ spl0_70 ),
inference(resolution,[],[f3217,f1528]) ).
fof(f5859,definition,
( spl0_92
<=> segmentP(sk4,cons(sk5,skaf43(sk5,sk4))) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f5861,plain,
( segmentP(sk4,cons(sk5,skaf43(sk5,sk4)))
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f5859]) ).
fof(f5863,definition,
( spl0_93
<=> segmentP(cons(sk5,skaf43(sk5,sk4)),sk3) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
fof(f5865,plain,
( segmentP(cons(sk5,skaf43(sk5,sk4)),sk3)
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f5863]) ).
fof(f5866,plain,
( spl0_92
| spl0_93
| ~ spl0_2
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f5851,f3216,f376,f5863,f5859]) ).
fof(f6860,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,f493]) ).
fof(f6868,plain,
( ! [X0,X1] :
( ~ ssList(app(skaf82(X0),X1))
| ~ ssList(skaf82(X0))
| ~ ssList(X1)
| ~ segmentP(app(skaf82(X0),X1),skaf82(X0)) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f6860,f414]) ).
fof(f6873,plain,
( ! [X0,X1] :
( ~ ssList(skaf82(X0))
| ~ ssList(X1)
| ~ segmentP(app(skaf82(X0),X1),skaf82(X0)) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f6868,f85]) ).
fof(f6878,plain,
( ! [X0,X1] :
( ~ segmentP(app(skaf82(X0),X1),skaf82(X0))
| ~ ssList(X1) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f6873,f13]) ).
fof(f9841,plain,
sk4 = app(sk4,skaf45(sk4,sk4)),
inference(resolution,[],[f1322,f203]) ).
fof(f13855,plain,
( ! [X0,X1] : app(sk3,skaf43(X0,X1)) = cons(sk5,skaf43(X0,X1))
| ~ spl0_5
| ~ spl0_16 ),
inference(superposition,[],[f5383,f392]) ).
fof(f25932,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| cons(X0,X1) = cons(skaf83(cons(X0,X1)),skaf82(cons(X0,X1))) )
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f903,f442]) ).
fof(f25979,plain,
( ! [X0] : cons(X0,sk3) = cons(skaf83(cons(X0,sk3)),skaf82(cons(X0,sk3)))
| ~ spl0_16 ),
inference(resolution,[],[f25932,f202]) ).
fof(f69465,plain,
( ! [X0] : tl(cons(X0,sk3)) = skaf82(cons(X0,sk3))
| ~ spl0_16 ),
inference(superposition,[],[f569,f25979]) ).
fof(f69532,plain,
( ! [X0] : sk3 = skaf82(cons(X0,sk3))
| ~ spl0_16 ),
inference(forward_demodulation,[],[f69465,f599]) ).
fof(f86041,plain,
( ~ segmentP(sk4,cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(sk4)
| ~ ssList(skaf45(sk4,sk4))
| ~ spl0_73 ),
inference(superposition,[],[f3231,f9841]) ).
fof(f86043,plain,
( ~ ssList(sk4)
| ~ ssList(skaf45(sk4,sk4))
| ~ spl0_73
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[],[f86041,f5861]) ).
fof(f86046,plain,
( ~ ssList(skaf45(sk4,sk4))
| ~ spl0_73
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[],[f86043,f203]) ).
fof(f86048,plain,
( $false
| ~ spl0_73
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[],[f86046,f51]) ).
fof(f86049,plain,
( ~ spl0_73
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f86048]) ).
fof(f151295,plain,
( ! [X1] :
( ~ segmentP(app(sk3,X1),sk3)
| ~ ssList(X1) )
| ~ spl0_10
| ~ spl0_16 ),
inference(superposition,[],[f6878,f69532]) ).
fof(f160984,plain,
( ! [X0,X1] :
( ~ segmentP(cons(sk5,skaf43(X0,X1)),sk3)
| ~ ssList(skaf43(X0,X1)) )
| ~ spl0_5
| ~ spl0_10
| ~ spl0_16 ),
inference(superposition,[],[f151295,f13855]) ).
fof(f160989,plain,
( ! [X0,X1] : ~ segmentP(cons(sk5,skaf43(X0,X1)),sk3)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f160984,f52]) ).
fof(f168432,plain,
( $false
| ~ spl0_5
| ~ spl0_10
| ~ spl0_16
| ~ spl0_93 ),
inference(backward_subsumption_resolution,[],[f5865,f160989]) ).
fof(f168436,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_16
| ~ spl0_93 ),
inference(avatar_contradiction_clause,[],[f168432]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f379]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f388]) ).
cnf(s3,plain,
( spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f393]) ).
cnf(s4,plain,
( spl0_3
| ~ spl0_6 ),
inference(sat_conversion,[],[f398]) ).
cnf(s5,plain,
( ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f407]) ).
cnf(s12,plain,
( spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f446]) ).
cnf(s13,plain,
spl0_11,
inference(sat_conversion,[],[f447]) ).
cnf(s15,plain,
spl0_10,
inference(sat_conversion,[],[f449]) ).
cnf(s17,plain,
( spl0_1
| ~ spl0_5
| ~ spl0_11
| ~ spl0_16 ),
inference(sat_conversion,[],[f659]) ).
cnf(s20,plain,
( ~ spl0_3
| spl0_7
| ~ spl0_10 ),
inference(sat_conversion,[],[f662]) ).
cnf(s24,plain,
( spl0_1
| ~ spl0_8 ),
inference(sat_conversion,[],[f679]) ).
cnf(s26,plain,
( ~ spl0_2
| ~ spl0_8 ),
inference(sat_conversion,[],[f688]) ).
cnf(s77,plain,
( ~ spl0_4
| spl0_6
| ~ spl0_70
| spl0_73 ),
inference(sat_conversion,[],[f3232]) ).
cnf(s145,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_10
| ~ spl0_17 ),
inference(sat_conversion,[],[f5004]) ).
cnf(s147,plain,
( ~ spl0_16
| spl0_70 ),
inference(sat_conversion,[],[f5805]) ).
cnf(s149,plain,
( ~ spl0_2
| ~ spl0_70
| spl0_92
| spl0_93 ),
inference(sat_conversion,[],[f5866]) ).
cnf(s2983,plain,
( ~ spl0_73
| ~ spl0_92 ),
inference(sat_conversion,[],[f86049]) ).
cnf(s4242,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_16
| ~ spl0_93 ),
inference(sat_conversion,[],[f168436]) ).
cnf(s4304,plain,
spl0_1,
inference(rat,[],[s12,s145,s17,s2,s3,s4,s20,s5,s24,s15,s13]) ).
cnf(s4305,plain,
spl0_2,
inference(rat,[],[s1,s4304]) ).
cnf(s4312,plain,
~ spl0_8,
inference(rat,[],[s26,s4305]) ).
cnf(s4330,plain,
~ spl0_7,
inference(rat,[],[s5,s4312]) ).
cnf(s4393,plain,
~ spl0_3,
inference(rat,[],[s20,s15,s4330]) ).
cnf(s4431,plain,
~ spl0_6,
inference(rat,[],[s4,s4393]) ).
cnf(s4432,plain,
spl0_5,
inference(rat,[],[s3,s4393]) ).
cnf(s4433,plain,
spl0_4,
inference(rat,[],[s2,s4393]) ).
cnf(s4510,plain,
~ spl0_17,
inference(rat,[],[s145,s4432,s15,s4431,s4433]) ).
cnf(s4538,plain,
spl0_16,
inference(rat,[],[s12,s4510]) ).
cnf(s4658,plain,
spl0_70,
inference(rat,[],[s147,s4538]) ).
cnf(s4660,plain,
~ spl0_93,
inference(rat,[],[s4242,s4432,s15,s4538]) ).
cnf(s4982,plain,
spl0_92,
inference(rat,[],[s149,s4660,s4305,s4658]) ).
cnf(s4987,plain,
spl0_73,
inference(rat,[],[s77,s4433,s4431,s4658]) ).
cnf(s5068,plain,
$false,
inference(rat,[],[s2983,s4982,s4987]) ).
fof(f168440,plain,
$false,
inference(avatar_sat_refutation,[],[s5068]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC341-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n015.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 09:13:46 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 14.70/2.34 % (2488943)Will run a generic schedule for satisfiability detection.
% 14.70/2.34 % (2488949)% WARNING: option uhcvi not known.
% 14.70/2.34 % (2488949)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1993395186:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.70/2.34 % (2488951)dis+10_1_sil=32000:sp=arity:random_seed=442800976:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.70/2.34 % (2488948)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3810770696_2999 on theBenchmark for (2999ds/0Mi)
% 14.70/2.34 % (2488950)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2413524221:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.70/2.34 % (2488952)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3892914490:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.70/2.34 % (2488954)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=136878920:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.70/2.34 % (2488953)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2545573985:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.70/2.34 % TRYING [1]
% 14.70/2.34 % TRYING [2]
% 14.70/2.34 % TRYING [3]
% 14.70/2.34 % TRYING [4]
% 14.70/2.34 % (2488951)Instruction limit reached!
% 14.70/2.34 % (2488951)------------------------------
% 14.70/2.34 % (2488951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.70/2.34 % (2488951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/2.34 % (2488951)CaDiCaL version: 2.1.3
% 14.70/2.34 % (2488951)Termination reason: Instruction limit
% 14.70/2.34 % (2488951)Termination phase: Saturation
% 14.70/2.34 % (2488951)Time elapsed: 0.059 s
% 14.70/2.34 % (2488951)Peak memory usage: 13 MB
% 14.70/2.34 % (2488951)Instructions burned: 103 (million)
% 14.70/2.34 % (2488952)Instruction limit reached!
% 14.70/2.34 % (2488952)------------------------------
% 14.70/2.34 % (2488952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.70/2.34 % (2488952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/2.34 % (2488952)CaDiCaL version: 2.1.3
% 14.70/2.34 % (2488952)Termination reason: Instruction limit
% 14.70/2.34 % (2488952)Termination phase: Saturation
% 14.70/2.34 % (2488952)Time elapsed: 0.060 s
% 14.70/2.34 % (2488952)Peak memory usage: 13 MB
% 14.70/2.34 % (2488952)Instructions burned: 116 (million)
% 14.70/2.34 % (2488953)Instruction limit reached!
% 14.70/2.34 % (2488953)------------------------------
% 14.70/2.34 % (2488953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.70/2.34 % (2488953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/2.34 % (2488953)CaDiCaL version: 2.1.3
% 14.70/2.34 % (2488953)Termination reason: Instruction limit
% 14.70/2.34 % (2488953)Termination phase: Saturation
% 14.70/2.34 % (2488953)Time elapsed: 0.068 s
% 14.70/2.34 % (2488953)Peak memory usage: 14 MB
% 14.70/2.34 % (2488953)Instructions burned: 132 (million)
% 14.70/2.34 % (2488962)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=135013959:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.70/2.34 % (2488963)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1958763726:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 14.70/2.34 % (2488954)Instruction limit reached!
% 14.70/2.34 % (2488954)------------------------------
% 14.70/2.34 % (2488954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.70/2.34 % (2488954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/2.34 % (2488954)CaDiCaL version: 2.1.3
% 14.70/2.34 % (2488954)Termination reason: Instruction limit
% 14.70/2.34 % (2488954)Termination phase: Saturation
% 14.70/2.34 % (2488954)Time elapsed: 0.087 s
% 14.70/2.34 % (2488954)Peak memory usage: 14 MB
% 14.70/2.34 % (2488954)Instructions burned: 160 (million)
% 14.70/2.34 % (2488964)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=4206766485:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.70/2.34 % TRYING [1]
% 14.70/2.34 % TRYING [2]
% 14.70/2.34 % TRYING [3]
% 14.70/2.34 % TRYING [5]
% 14.70/2.34 % (2488967)ott-21_1_sil=16000:fs=off:random_seed=29868482:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.70/2.34 % TRYING [4]
% 14.70/2.34 % TRYING [5]
% 14.70/2.34 % (2488963)Instruction limit reached!
% 14.70/2.34 % (2488963)------------------------------
% 14.70/2.34 % (2488963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/2.75 % (2488963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/2.75 % (2488963)CaDiCaL version: 2.1.3
% 17.19/2.75 % (2488963)Termination reason: Instruction limit
% 17.19/2.75 % (2488963)Termination phase: Saturation
% 17.19/2.75 % (2488963)Time elapsed: 0.106 s
% 17.19/2.75 % (2488963)Peak memory usage: 14 MB
% 17.19/2.75 % (2488963)Instructions burned: 131 (million)
% 17.19/2.75 % (2488967)Instruction limit reached!
% 17.19/2.75 % (2488967)------------------------------
% 17.19/2.75 % (2488967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/2.75 % (2488967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/2.75 % (2488967)CaDiCaL version: 2.1.3
% 17.19/2.75 % (2488967)Termination reason: Instruction limit
% 17.19/2.75 % (2488967)Termination phase: Saturation
% 17.19/2.75 % (2488967)Time elapsed: 0.090 s
% 17.19/2.75 % (2488967)Peak memory usage: 13 MB
% 17.19/2.75 % (2488967)Instructions burned: 182 (million)
% 17.19/2.75 % (2488970)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4270980033:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 17.19/2.75 % (2488971)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2366604511:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 17.19/2.75 % TRYING [1]
% 17.19/2.75 % TRYING [2]
% 17.19/2.75 % TRYING [3]
% 17.19/2.75 % TRYING [6]
% 17.19/2.75 % TRYING [4]
% 17.19/2.75 % TRYING [6]
% 17.19/2.75 % (2488962)Instruction limit reached!
% 17.19/2.75 % (2488962)------------------------------
% 17.19/2.75 % (2488962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/2.75 % (2488962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/2.75 % (2488962)CaDiCaL version: 2.1.3
% 17.19/2.75 % (2488962)Termination reason: Instruction limit
% 17.19/2.75 % (2488962)Termination phase: Finite model building constraint generation
% 17.19/2.75 % (2488962)Time elapsed: 0.274 s
% 17.19/2.75 % (2488962)Peak memory usage: 36 MB
% 17.19/2.75 % (2488962)Instructions burned: 718 (million)
% 17.19/2.75 % (2488974)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=122537981:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 17.19/2.75 % TRYING [5]
% 17.19/2.75 % (2488964)Instruction limit reached!
% 17.19/2.75 % (2488964)------------------------------
% 17.19/2.75 % (2488964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/2.75 % (2488964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/2.75 % (2488964)CaDiCaL version: 2.1.3
% 17.19/2.75 % (2488964)Termination reason: Instruction limit
% 17.19/2.75 % (2488964)Termination phase: Saturation
% 17.19/2.75 % (2488964)Time elapsed: 0.384 s
% 17.19/2.75 % (2488964)Peak memory usage: 17 MB
% 17.19/2.75 % (2488964)Instructions burned: 685 (million)
% 17.19/2.75 % (2488976)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2865170367:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 17.19/2.75 % (2488970)Instruction limit reached!
% 17.19/2.75 % (2488970)------------------------------
% 17.19/2.75 % (2488970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/2.75 % (2488970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/2.75 % (2488970)CaDiCaL version: 2.1.3
% 17.19/2.75 % (2488970)Termination reason: Instruction limit
% 17.19/2.75 % (2488970)Termination phase: Saturation
% 17.19/2.75 % (2488970)Time elapsed: 0.308 s
% 17.19/2.75 % (2488970)Peak memory usage: 14 MB
% 17.19/2.75 % (2488970)Instructions burned: 477 (million)
% 17.19/2.75 % (2488978)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=1686464306: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)
% 17.19/2.75 % (2488971)Instruction limit reached!
% 17.19/2.75 % (2488971)------------------------------
% 17.19/2.75 % (2488971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/2.75 % (2488971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/2.75 % (2488971)CaDiCaL version: 2.1.3
% 17.19/2.75 % (2488971)Termination reason: Instruction limit
% 17.19/2.75 % (2488971)Termination phase: Finite model building SAT solving
% 17.19/2.75 % (2488971)Time elapsed: 0.340 s
% 17.19/2.75 % (2488971)Peak memory usage: 23 MB
% 17.19/2.75 % (2488971)Instructions burned: 868 (million)
% 17.19/2.75 % (2488980)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2128296972:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 17.19/2.75 % TRYING [14]
% 17.19/2.75 % TRYING [7]
% 17.19/2.75 % (2488976)Instruction limit reached!
% 17.19/2.75 % (2488976)------------------------------
% 17.19/2.75 % (2488976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/2.75 % (2488976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/2.75 % (2488976)CaDiCaL version: 2.1.3
% 17.19/2.75 % (2488976)Termination reason: Instruction limit
% 17.19/2.75 % (2488976)Termination phase: Finite model building constraint generation
% 17.19/2.75 % (2488976)Time elapsed: 0.327 s
% 17.19/2.75 % (2488976)Peak memory usage: 73 MB
% 17.19/2.75 % (2488976)Instructions burned: 891 (million)
% 17.19/2.75 % (2488982)fmb+10_1_sil=64000:random_seed=790272432:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 17.19/2.75 % TRYING [1]
% 17.19/2.75 % TRYING [2]
% 17.19/2.75 % TRYING [3]
% 17.19/2.75 % (2488978)Instruction limit reached!
% 17.19/2.75 % (2488978)------------------------------
% 17.19/2.75 % (2488978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/2.75 % (2488978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/2.75 % (2488978)CaDiCaL version: 2.1.3
% 17.19/2.75 % (2488978)Termination reason: Instruction limit
% 17.19/2.75 % (2488978)Termination phase: Saturation
% 17.19/2.75 % (2488978)Time elapsed: 0.391 s
% 17.19/2.75 % (2488978)Peak memory usage: 21 MB
% 17.19/2.75 % (2488978)Instructions burned: 694 (million)
% 17.19/2.75 % TRYING [4]
% 17.19/2.75 % (2488984)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3257212593:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 17.19/2.75 % TRYING [20]
% 17.19/2.75 % (2488980)Instruction limit reached!
% 17.19/2.75 % (2488980)------------------------------
% 17.19/2.75 % (2488980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/2.75 % (2488980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/2.75 % (2488980)CaDiCaL version: 2.1.3
% 17.19/2.75 % (2488980)Termination reason: Instruction limit
% 17.19/2.75 % (2488980)Termination phase: Saturation
% 17.19/2.75 % (2488980)Time elapsed: 0.451 s
% 17.19/2.75 % (2488980)Peak memory usage: 19 MB
% 17.19/2.75 % (2488980)Instructions burned: 881 (million)
% 17.19/2.75 % (2488974)Instruction limit reached!
% 17.19/2.75 % (2488974)------------------------------
% 17.19/2.75 % (2488974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/2.75 % (2488974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/2.75 % (2488974)CaDiCaL version: 2.1.3
% 17.19/2.75 % (2488974)Termination reason: Instruction limit
% 17.19/2.75 % (2488974)Termination phase: Saturation
% 17.19/2.75 % (2488974)Time elapsed: 0.665 s
% 17.19/2.75 % (2488974)Peak memory usage: 30 MB
% 17.19/2.75 % (2488974)Instructions burned: 1179 (million)
% 17.19/2.75 % (2488986)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2254772207:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 17.19/2.75 % (2488987)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1081181172:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 17.19/2.75 % TRYING [8]
% 17.19/2.75 % TRYING [5]
% 17.19/2.75 % (2488986)Instruction limit reached!
% 17.19/2.75 % (2488986)------------------------------
% 17.19/2.75 % (2488986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/2.75 % (2488986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/2.75 % (2488986)CaDiCaL version: 2.1.3
% 17.19/2.75 % (2488986)Termination reason: Instruction limit
% 17.19/2.75 % (2488986)Termination phase: Finite model building constraint generation
% 17.19/2.75 % (2488986)Time elapsed: 0.334 s
% 17.19/2.75 % (2488986)Peak memory usage: 79 MB
% 17.19/2.75 % (2488986)Instructions burned: 921 (million)
% 17.19/2.75 % (2488990)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4175688977:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 17.19/2.75 % TRYING [6]
% 17.19/2.75 % TRYING [8]
% 17.19/2.75 % (2488990)Instruction limit reached!
% 17.19/2.75 % (2488990)------------------------------
% 17.19/2.75 % (2488990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/2.75 % (2488990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/2.75 % (2488990)CaDiCaL version: 2.1.3
% 17.19/2.75 % (2488990)Termination reason: Instruction limit
% 17.19/2.75 % (2488990)Termination phase: Saturation
% 17.19/2.75 % (2488990)Time elapsed: 0.651 s
% 17.19/2.75 % (2488990)Peak memory usage: 15 MB
% 17.19/2.75 % (2488990)Instructions burned: 1474 (million)
% 17.19/2.75 % (2488992)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1020567374:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 17.19/2.75 % TRYING [77]
% 17.19/2.75 % TRYING [7]
% 17.19/2.75 % (2488949) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2488943-2488949"...
% 17.19/2.75 % (2488949)...printing done.
% 17.19/2.75 % (2488949)Refutation found. Thanks to Tanya!
% 17.19/2.75 % SZS status Unsatisfiable for theBenchmark
% 17.19/2.75 % SZS output start Proof for theBenchmark
% See solution above
% 17.19/2.76 % (2488949)------------------------------
% 17.19/2.76 % (2488949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/2.76 % (2488949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/2.76 % (2488949)CaDiCaL version: 2.1.3
% 17.19/2.76 % (2488949)Termination reason: Refutation
% 17.19/2.76 % (2488949)Time elapsed: 2.455 s
% 17.19/2.76 % (2488949)Peak memory usage: 88 MB
% 17.19/2.76 % (2488949)Instructions burned: 8289 (million)
% 17.19/2.76 % (2488943)Success in time 2.538 s
% 17.19/2.76 % Vampire exiting
%------------------------------------------------------------------------------