%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC313-1 : 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 01:05:30 PM UTC 2026
% Result : Unsatisfiable 3.17s 0.79s
% Output : Refutation 3.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 33
% Syntax : Number of formulae : 138 ( 15 unt; 12 def)
% Number of atoms : 415 ( 83 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 530 ( 253 ~; 265 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 13 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 119 ( 0 sgn 119 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause72) ).
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(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause96) ).
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(f112,axiom,
! [X0] :
( ~ ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause109) ).
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(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(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(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,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(X1,cons(X0,nil)) = sk3
| app(cons(X0,nil),X1) != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| sk3 = app(X1,cons(X0,nil))
| app(cons(X0,nil),X1) != sk4 ),
inference(reorient_equations,[],[f206]) ).
fof(f208,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f210,negated_conjecture,
! [X0,X1] :
( nil = sk2
| ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk2
| app(X1,cons(X0,nil)) != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f211,plain,
! [X0,X1] :
( nil = sk2
| ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk2
| sk1 != app(X1,cons(X0,nil)) ),
inference(reorient_equations,[],[f210]) ).
fof(f212,negated_conjecture,
( nil != sk1
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f213,negated_conjecture,
! [X0,X1] :
( nil != sk1
| ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk2
| app(X1,cons(X0,nil)) != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f214,plain,
! [X0,X1] :
( nil != sk1
| ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk2
| sk1 != app(X1,cons(X0,nil)) ),
inference(reorient_equations,[],[f213]) ).
fof(f218,plain,
! [X0,X1] :
( nil = sk4
| ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk4
| sk3 != app(X1,cons(X0,nil)) ),
inference(definition_unfolding,[],[f211,f204,f204,f205]) ).
fof(f219,plain,
( nil != sk3
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f212,f205,f204]) ).
fof(f220,plain,
! [X0,X1] :
( nil != sk3
| ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk4
| sk3 != app(X1,cons(X0,nil)) ),
inference(definition_unfolding,[],[f214,f205,f204,f205]) ).
fof(f227,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f118]) ).
fof(f238,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(f280,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ duplicatefreeP(X0)
| ~ ssItem(X1) ),
inference(consistent_polarity_flipping,[],[f72]) ).
fof(f281,plain,
! [X0] :
( ~ ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f76]) ).
fof(f285,plain,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f86]) ).
fof(f292,plain,
! [X0,X1] :
( ~ ssList(X1)
| ssItem(X0)
| tl(cons(X0,X1)) = X1 ),
inference(consistent_polarity_flipping,[],[f96]) ).
fof(f309,plain,
! [X1] :
( neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(consistent_polarity_flipping,[],[f227]) ).
fof(f312,plain,
! [X0,X1] :
( ~ ssList(X1)
| ssItem(X0)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(consistent_polarity_flipping,[],[f126]) ).
fof(f351,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,[],[f238]) ).
fof(f358,plain,
! [X0,X1] :
( ssItem(X0)
| ~ ssList(X1)
| sk3 = app(X1,cons(X0,nil))
| app(cons(X0,nil),X1) != sk4 ),
inference(consistent_polarity_flipping,[],[f207]) ).
fof(f360,plain,
! [X0,X1] :
( nil = sk4
| ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk4
| sk3 != app(X1,cons(X0,nil)) ),
inference(consistent_polarity_flipping,[],[f218]) ).
fof(f361,plain,
( nil != sk3
| ~ neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f219]) ).
fof(f362,plain,
! [X0,X1] :
( nil != sk3
| ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk4
| sk3 != app(X1,cons(X0,nil)) ),
inference(consistent_polarity_flipping,[],[f220]) ).
fof(f367,plain,
! [X1] :
( neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f309]) ).
fof(f370,definition,
( spl0_1
<=> ! [X0,X1] :
( ssItem(X0)
| sk3 != app(X1,cons(X0,nil))
| app(cons(X0,nil),X1) != sk4
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f371,plain,
( ! [X0,X1] :
( ssItem(X0)
| sk3 != app(X1,cons(X0,nil))
| app(cons(X0,nil),X1) != sk4
| ~ ssList(X1) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f373,definition,
( spl0_2
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f376,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f362,f373,f370]) ).
fof(f378,definition,
( spl0_3
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f380,plain,
( ~ neq(sk4,nil)
| spl0_3 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f381,plain,
( ~ spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f361,f373,f378]) ).
fof(f383,definition,
( spl0_4
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f384,plain,
( nil != sk4
| spl0_4 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f385,plain,
( nil = sk4
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f386,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f360,f383,f370]) ).
fof(f388,plain,
( ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f208,f373,f383]) ).
fof(f394,definition,
( spl0_6
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f395,plain,
( ssList(nil)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f422,definition,
( spl0_12
<=> ! [X1] : ~ ssItem(X1) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f423,plain,
( ! [X1] : ~ ssItem(X1)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f425,definition,
( spl0_13
<=> ! [X0] :
( ~ ssList(X0)
| ~ duplicatefreeP(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f426,plain,
( ! [X0] :
( ~ duplicatefreeP(X0)
| ~ ssList(X0) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f427,plain,
( spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f280,f425,f422]) ).
fof(f430,plain,
spl0_6,
inference(avatar_split_clause,[],[f8,f394]) ).
fof(f559,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| tl(cons(X0,X1)) = X1 )
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f292,f423]) ).
fof(f562,plain,
( ! [X0,X1] : skaf82(X1) = tl(cons(X0,skaf82(X1)))
| ~ spl0_12 ),
inference(resolution,[],[f559,f13]) ).
fof(f690,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| nil = sk4 ),
inference(resolution,[],[f107,f203]) ).
fof(f692,definition,
( spl0_14
<=> sk4 = cons(hd(sk4),tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f694,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f695,plain,
( spl0_4
| spl0_14 ),
inference(avatar_split_clause,[],[f690,f692,f383]) ).
fof(f698,plain,
( ~ neq(nil,nil)
| spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f380,f385]) ).
fof(f711,plain,
( ~ ssList(nil)
| spl0_3
| ~ spl0_4 ),
inference(resolution,[],[f367,f698]) ).
fof(f713,plain,
( $false
| spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f711,f395]) ).
fof(f714,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f713]) ).
fof(f727,definition,
( spl0_15
<=> ssList(tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f728,plain,
( ssList(tl(sk4))
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f729,plain,
( ~ ssList(tl(sk4))
| spl0_15 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f731,definition,
( spl0_16
<=> ssItem(hd(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f732,plain,
( ~ ssItem(hd(sk4))
| spl0_16 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f733,plain,
( ssItem(hd(sk4))
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f813,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_15 ),
inference(resolution,[],[f729,f75]) ).
fof(f814,plain,
( nil = sk4
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f813,f203]) ).
fof(f815,plain,
( $false
| spl0_4
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f814,f384]) ).
fof(f816,plain,
( spl0_4
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f815]) ).
fof(f896,plain,
( sk4 = cons(skaf83(sk4),skaf82(sk4))
| nil = sk4 ),
inference(resolution,[],[f112,f203]) ).
fof(f897,plain,
( sk4 = cons(skaf83(sk4),skaf82(sk4))
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f896,f384]) ).
fof(f1034,plain,
! [X0,X1] :
( ssItem(X0)
| cons(X0,skaf82(X1)) = app(cons(X0,nil),skaf82(X1)) ),
inference(resolution,[],[f312,f13]) ).
fof(f1800,plain,
( ~ ssList(sk4)
| nil = sk4
| ~ spl0_16 ),
inference(resolution,[],[f733,f281]) ).
fof(f1801,plain,
( nil = sk4
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1800,f203]) ).
fof(f1802,plain,
( $false
| spl0_4
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1801,f384]) ).
fof(f1803,plain,
( spl0_4
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1802]) ).
fof(f1935,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X2)
| ~ ssList(X0)
| ssItem(X1)
| ~ ssList(X3) )
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f351,f426]) ).
fof(f1951,definition,
( spl0_40
<=> ! [X3] : ~ ssList(X3) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f1952,plain,
( ! [X3] : ~ ssList(X3)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f1951]) ).
fof(f1954,definition,
( spl0_41
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X1,cons(X2,X0)))
| ssItem(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f1955,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(X1,cons(X2,X0)))
| ~ ssList(X1)
| ~ ssList(X0)
| ssItem(X2) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f1954]) ).
fof(f6014,plain,
( ! [X0] :
( ~ ssList(app(X0,sk4))
| ~ ssList(X0)
| ~ ssList(tl(sk4))
| ssItem(hd(sk4)) )
| ~ spl0_14
| ~ spl0_41 ),
inference(superposition,[],[f1955,f694]) ).
fof(f6016,plain,
( ! [X0] :
( ~ ssList(app(X0,sk4))
| ~ ssList(X0)
| ssItem(hd(sk4)) )
| ~ spl0_14
| ~ spl0_15
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f6014,f728]) ).
fof(f6020,plain,
( ! [X0] :
( ~ ssList(app(X0,sk4))
| ~ ssList(X0) )
| ~ spl0_14
| ~ spl0_15
| spl0_16
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f6016,f732]) ).
fof(f10149,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(sk4) )
| ~ spl0_14
| ~ spl0_15
| spl0_16
| ~ spl0_41 ),
inference(resolution,[],[f6020,f85]) ).
fof(f10151,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sk4) )
| ~ spl0_14
| ~ spl0_15
| spl0_16
| ~ spl0_41 ),
inference(duplicate_literal_removal,[],[f10149]) ).
fof(f10153,plain,
( ! [X0] : ~ ssList(X0)
| ~ spl0_14
| ~ spl0_15
| spl0_16
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f10151,f203]) ).
fof(f10156,plain,
( spl0_40
| ~ spl0_14
| ~ spl0_15
| spl0_16
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f10153,f1954,f731,f727,f692,f1951]) ).
fof(f10290,plain,
( ! [X0,X1] : cons(X0,skaf82(X1)) = app(cons(X0,nil),skaf82(X1))
| ~ spl0_12 ),
inference(backward_subsumption_resolution,[],[f1034,f423]) ).
fof(f12960,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssItem(X2)
| ~ ssList(X3)
| ~ ssList(app(X1,cons(X2,X0)))
| ~ ssList(cons(X2,X3)) )
| ~ spl0_13 ),
inference(resolution,[],[f1935,f85]) ).
fof(f13095,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssItem(X2)
| ~ ssList(X3)
| ~ ssList(app(X1,cons(X2,X0))) )
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f12960,f285]) ).
fof(f13142,plain,
( spl0_40
| spl0_41
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f13095,f425,f1954,f1951]) ).
fof(f14482,plain,
( $false
| ~ spl0_40 ),
inference(backward_subsumption_resolution,[],[f203,f1952]) ).
fof(f14519,plain,
~ spl0_40,
inference(avatar_contradiction_clause,[],[f14482]) ).
fof(f19912,plain,
( tl(sk4) = skaf82(sk4)
| spl0_4
| ~ spl0_12 ),
inference(superposition,[],[f562,f897]) ).
fof(f21158,plain,
( ! [X0,X1] :
( app(cons(X0,nil),X1) != sk4
| sk3 = app(X1,cons(X0,nil))
| ~ ssList(X1) )
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f358,f423]) ).
fof(f21159,plain,
( ! [X0,X1] :
( sk3 != app(X1,cons(X0,nil))
| app(cons(X0,nil),X1) != sk4
| ~ ssList(X1) )
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f371,f423]) ).
fof(f21451,plain,
( ! [X0,X1] :
( app(cons(X0,nil),X1) != sk4
| ~ ssList(X1) )
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f21159,f21158]) ).
fof(f21452,plain,
( ! [X0,X1] :
( sk4 != cons(X0,skaf82(X1))
| ~ ssList(skaf82(X1)) )
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f21451,f10290]) ).
fof(f21460,plain,
( ! [X0,X1] : sk4 != cons(X0,skaf82(X1))
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f21452,f13]) ).
fof(f21521,plain,
( ! [X0] : sk4 != cons(X0,tl(sk4))
| ~ spl0_1
| spl0_4
| ~ spl0_12 ),
inference(superposition,[],[f21460,f19912]) ).
fof(f21547,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_12
| ~ spl0_14 ),
inference(backward_subsumption_resolution,[],[f694,f21521]) ).
fof(f21549,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_12
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f21547]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f376]) ).
cnf(s2,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f381]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f386]) ).
cnf(s5,plain,
( spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f388]) ).
cnf(s12,plain,
( spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f427]) ).
cnf(s15,plain,
spl0_6,
inference(sat_conversion,[],[f430]) ).
cnf(s17,plain,
( spl0_4
| spl0_14 ),
inference(sat_conversion,[],[f695]) ).
cnf(s19,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(sat_conversion,[],[f714]) ).
cnf(s22,plain,
( spl0_4
| spl0_15 ),
inference(sat_conversion,[],[f816]) ).
cnf(s39,plain,
( spl0_4
| ~ spl0_16 ),
inference(sat_conversion,[],[f1803]) ).
cnf(s166,plain,
( ~ spl0_14
| ~ spl0_15
| spl0_16
| spl0_40
| ~ spl0_41 ),
inference(sat_conversion,[],[f10156]) ).
cnf(s232,plain,
( ~ spl0_13
| spl0_40
| spl0_41 ),
inference(sat_conversion,[],[f13142]) ).
cnf(s283,plain,
~ spl0_40,
inference(sat_conversion,[],[f14519]) ).
cnf(s551,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_12
| ~ spl0_14 ),
inference(sat_conversion,[],[f21549]) ).
cnf(s555,plain,
( ~ spl0_13
| spl0_41 ),
inference(rat,[],[s232,s283]) ).
cnf(s557,plain,
( ~ spl0_14
| ~ spl0_15
| spl0_16
| ~ spl0_41 ),
inference(rat,[],[s166,s283]) ).
cnf(s601,plain,
spl0_1,
inference(rat,[],[s5,s1,s3]) ).
cnf(s602,plain,
spl0_4,
inference(rat,[],[s12,s555,s551,s557,s17,s22,s39,s601]) ).
cnf(s603,plain,
spl0_3,
inference(rat,[],[s19,s15,s602]) ).
cnf(s604,plain,
spl0_2,
inference(rat,[],[s5,s602]) ).
cnf(s605,plain,
$false,
inference(rat,[],[s2,s603,s604]) ).
fof(f21550,plain,
$false,
inference(avatar_sat_refutation,[],[s605]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC313-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n003.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 09:02:57 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 3.17/0.79 % (1447465)Will run a generic schedule for satisfiability detection.
% 3.17/0.79 % (1447474)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3999988574:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.17/0.79 % (1447471)% WARNING: option uhcvi not known.
% 3.17/0.79 % (1447473)dis+10_1_sil=32000:sp=arity:random_seed=1549210798:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.17/0.79 % (1447470)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2370131395_2999 on theBenchmark for (2999ds/0Mi)
% 3.17/0.79 % (1447471)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2599326905:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.17/0.79 % (1447472)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=561637457:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.17/0.79 % (1447475)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3715677751:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.17/0.79 % (1447476)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=703920913:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.17/0.79 % TRYING [1]
% 3.17/0.79 % TRYING [2]
% 3.17/0.79 % TRYING [3]
% 3.17/0.79 % (1447474)Instruction limit reached!
% 3.17/0.79 % (1447474)------------------------------
% 3.17/0.79 % (1447474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.17/0.79 % (1447474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/0.79 % (1447474)CaDiCaL version: 2.1.3
% 3.17/0.79 % (1447474)Termination reason: Instruction limit
% 3.17/0.79 % (1447474)Termination phase: Saturation
% 3.17/0.79 % (1447474)Time elapsed: 0.033 s
% 3.17/0.79 % (1447474)Peak memory usage: 13 MB
% 3.17/0.79 % (1447474)Instructions burned: 119 (million)
% 3.17/0.79 % (1447484)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=663384448:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.17/0.79 % TRYING [4]
% 3.17/0.79 % TRYING [1]
% 3.17/0.79 % TRYING [2]
% 3.17/0.79 % TRYING [3]
% 3.17/0.79 % (1447473)Instruction limit reached!
% 3.17/0.79 % (1447473)------------------------------
% 3.17/0.79 % (1447473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.17/0.79 % (1447473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/0.79 % (1447473)CaDiCaL version: 2.1.3
% 3.17/0.79 % (1447473)Termination reason: Instruction limit
% 3.17/0.79 % (1447473)Termination phase: Saturation
% 3.17/0.79 % (1447473)Time elapsed: 0.058 s
% 3.17/0.79 % (1447473)Peak memory usage: 13 MB
% 3.17/0.79 % (1447473)Instructions burned: 103 (million)
% 3.17/0.79 % TRYING [4]
% 3.17/0.79 % (1447475)Instruction limit reached!
% 3.17/0.79 % (1447475)------------------------------
% 3.17/0.79 % (1447475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.17/0.79 % (1447475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/0.79 % (1447475)CaDiCaL version: 2.1.3
% 3.17/0.79 % (1447475)Termination reason: Instruction limit
% 3.17/0.79 % (1447475)Termination phase: Saturation
% 3.17/0.79 % (1447475)Time elapsed: 0.065 s
% 3.17/0.79 % (1447475)Peak memory usage: 14 MB
% 3.17/0.79 % (1447475)Instructions burned: 132 (million)
% 3.17/0.79 % (1447486)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3103284927:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.17/0.79 % (1447487)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=3042868912:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.17/0.79 % (1447476)Instruction limit reached!
% 3.17/0.79 % (1447476)------------------------------
% 3.17/0.79 % (1447476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.17/0.79 % (1447476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/0.79 % (1447476)CaDiCaL version: 2.1.3
% 3.17/0.79 % (1447476)Termination reason: Instruction limit
% 3.17/0.79 % (1447476)Termination phase: Saturation
% 3.17/0.79 % (1447476)Time elapsed: 0.089 s
% 3.17/0.79 % (1447476)Peak memory usage: 14 MB
% 3.17/0.79 % (1447476)Instructions burned: 160 (million)
% 3.17/0.79 % TRYING [5]
% 3.17/0.79 % TRYING [5]
% 3.17/0.79 % (1447490)ott-21_1_sil=16000:fs=off:random_seed=589575860:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.17/0.79 % (1447486)Instruction limit reached!
% 3.17/0.79 % (1447486)------------------------------
% 3.17/0.79 % (1447486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.17/0.79 % (1447486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/0.79 % (1447486)CaDiCaL version: 2.1.3
% 3.17/0.79 % (1447486)Termination reason: Instruction limit
% 3.17/0.79 % (1447486)Termination phase: Saturation
% 3.17/0.79 % (1447486)Time elapsed: 0.066 s
% 3.17/0.79 % (1447486)Peak memory usage: 13 MB
% 3.17/0.79 % (1447486)Instructions burned: 132 (million)
% 3.17/0.79 % (1447492)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1910180424:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 3.17/0.79 % (1447484)Instruction limit reached!
% 3.17/0.79 % (1447484)------------------------------
% 3.17/0.79 % (1447484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.17/0.79 % (1447484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/0.79 % (1447484)CaDiCaL version: 2.1.3
% 3.17/0.79 % (1447484)Termination reason: Instruction limit
% 3.17/0.79 % (1447484)Termination phase: Finite model building constraint generation
% 3.17/0.79 % (1447484)Time elapsed: 0.155 s
% 3.17/0.79 % (1447484)Peak memory usage: 36 MB
% 3.17/0.79 % (1447484)Instructions burned: 714 (million)
% 3.17/0.79 % (1447490)Instruction limit reached!
% 3.17/0.79 % (1447490)------------------------------
% 3.17/0.79 % (1447490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.17/0.79 % (1447490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/0.79 % (1447490)CaDiCaL version: 2.1.3
% 3.17/0.79 % (1447490)Termination reason: Instruction limit
% 3.17/0.79 % (1447490)Termination phase: Saturation
% 3.17/0.79 % (1447490)Time elapsed: 0.088 s
% 3.17/0.79 % (1447490)Peak memory usage: 13 MB
% 3.17/0.79 % (1447490)Instructions burned: 180 (million)
% 3.17/0.79 % (1447494)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4016447636:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 3.17/0.79 % TRYING [1]
% 3.17/0.79 % TRYING [2]
% 3.17/0.79 % TRYING [3]
% 3.17/0.79 % (1447495)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4191749442:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 3.17/0.79 % TRYING [4]
% 3.17/0.79 % TRYING [6]
% 3.17/0.79 % TRYING [5]
% 3.17/0.79 % (1447494)Instruction limit reached!
% 3.17/0.79 % (1447494)------------------------------
% 3.17/0.79 % (1447494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.17/0.79 % (1447494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/0.79 % (1447494)CaDiCaL version: 2.1.3
% 3.17/0.79 % (1447494)Termination reason: Instruction limit
% 3.17/0.79 % (1447494)Termination phase: Finite model building SAT solving
% 3.17/0.79 % (1447494)Time elapsed: 0.183 s
% 3.17/0.79 % (1447494)Peak memory usage: 24 MB
% 3.17/0.79 % (1447494)Instructions burned: 868 (million)
% 3.17/0.79 % (1447498)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2760603629:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 3.17/0.79 % (1447487)Instruction limit reached!
% 3.17/0.79 % (1447487)------------------------------
% 3.17/0.79 % (1447487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.17/0.79 % (1447487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/0.79 % (1447487)CaDiCaL version: 2.1.3
% 3.17/0.79 % (1447487)Termination reason: Instruction limit
% 3.17/0.79 % (1447487)Termination phase: Saturation
% 3.17/0.79 % (1447487)Time elapsed: 0.370 s
% 3.17/0.79 % (1447487)Peak memory usage: 19 MB
% 3.17/0.79 % (1447487)Instructions burned: 685 (million)
% 3.17/0.79 % TRYING [14]
% 3.17/0.79 % (1447492)Instruction limit reached!
% 3.17/0.79 % (1447492)------------------------------
% 3.17/0.79 % (1447492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.17/0.79 % (1447492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/0.79 % (1447492)CaDiCaL version: 2.1.3
% 3.17/0.79 % (1447492)Termination reason: Instruction limit
% 3.17/0.79 % (1447492)Termination phase: Saturation
% 3.17/0.79 % (1447492)Time elapsed: 0.306 s
% 3.17/0.79 % (1447492)Peak memory usage: 14 MB
% 3.17/0.79 % (1447492)Instructions burned: 479 (million)
% 3.17/0.79 % (1447500)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=3297808486: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)
% 3.17/0.79 % (1447501)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3577715466:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 3.17/0.79 % (1447471) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1447465-1447471"...
% 3.17/0.79 % (1447471)...printing done.
% 3.17/0.79 % (1447471)Refutation found. Thanks to Tanya!
% 3.17/0.79 % SZS status Unsatisfiable for theBenchmark
% 3.17/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 3.17/0.79 % (1447471)------------------------------
% 3.17/0.79 % (1447471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.17/0.79 % (1447471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/0.79 % (1447471)CaDiCaL version: 2.1.3
% 3.17/0.79 % (1447471)Termination reason: Refutation
% 3.17/0.79 % (1447471)Time elapsed: 0.494 s
% 3.17/0.79 % (1447471)Peak memory usage: 20 MB
% 3.17/0.79 % (1447471)Instructions burned: 894 (million)
% 3.17/0.79 % (1447465)Success in time 0.546 s
% 3.17/0.79 % Vampire exiting
%------------------------------------------------------------------------------