%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC184-1 : 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 : n004.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 01:05:00 PM UTC 2026
% Result : Unsatisfiable 7.99s 1.82s
% Output : Refutation 7.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 67
% Syntax : Number of formulae : 367 ( 31 unt; 18 def)
% Number of atoms : 1459 ( 173 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 2110 (1018 ~;1074 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 19 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 228 ( 0 sgn 228 !; 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(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause50) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause52) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause53) ).
fof(f60,axiom,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause60) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause71) ).
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(f84,axiom,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause84) ).
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] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
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(f100,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) != X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause99) ).
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(f121,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause118) ).
fof(f122,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
inference(reorient_equations,[],[f121]) ).
fof(f123,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause119) ).
fof(f124,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
inference(reorient_equations,[],[f123]) ).
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(f138,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause129) ).
fof(f139,plain,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1 ),
inference(reorient_equations,[],[f138]) ).
fof(f142,axiom,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause131) ).
fof(f148,axiom,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause137) ).
fof(f149,axiom,
! [X2,X0,X1] :
( X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause138) ).
fof(f151,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause140) ).
fof(f152,axiom,
! [X2,X0,X1] :
( memberP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause141) ).
fof(f154,axiom,
! [X2,X0,X1] :
( app(X0,X1) != X2
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| rearsegP(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause143) ).
fof(f155,axiom,
! [X2,X0,X1] :
( app(X0,X1) != X2
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| frontsegP(X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause144) ).
fof(f163,axiom,
! [X2,X0,X1] :
( app(X0,X1) != app(X2,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause151) ).
fof(f173,axiom,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| X2 = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause161) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| X0 = X2 ),
inference(reorient_equations,[],[f173]) ).
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(f184,axiom,
! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X3)
| ~ ssList(X1)
| X3 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause171) ).
fof(f185,plain,
! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X3)
| ~ ssList(X1)
| X1 = X3 ),
inference(reorient_equations,[],[f184]) ).
fof(f188,axiom,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X1),cons(X2,X3))
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| frontsegP(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause174) ).
fof(f189,axiom,
! [X2,X3,X0,X1] :
( app(X0,cons(X1,X2)) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X3)
| memberP(X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause175) ).
fof(f192,axiom,
! [X2,X3,X0,X1] :
( ~ frontsegP(X0,X1)
| X2 != X3
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X2)
| frontsegP(cons(X2,X0),cons(X3,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause178) ).
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(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
sk1 = app(app(sk6,cons(sk5,nil)),sk7),
inference(reorient_equations,[],[f209]) ).
fof(f211,negated_conjecture,
( memberP(sk6,sk5)
| memberP(sk7,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f213,negated_conjecture,
( ssItem(sk8)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f216,negated_conjecture,
( memberP(sk4,sk8)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f218,negated_conjecture,
( cons(sk8,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f219,plain,
( sk3 = cons(sk8,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f218]) ).
fof(f220,negated_conjecture,
( memberP(sk4,sk8)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f224,plain,
sk3 = app(app(sk6,cons(sk5,nil)),sk7),
inference(definition_unfolding,[],[f210,f205]) ).
fof(f234,plain,
! [X2,X1] :
( ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f149]) ).
fof(f235,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X0,X1))
| rearsegP(app(X0,X1),X1) ),
inference(equality_resolution,[],[f154]) ).
fof(f236,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| frontsegP(app(X0,X1),X0) ),
inference(equality_resolution,[],[f155]) ).
fof(f240,plain,
! [X2,X0,X1] :
( memberP(app(X0,cons(X1,X2)),X1)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X2) ),
inference(equality_resolution,[],[f189]) ).
fof(f241,plain,
! [X3,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X3)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(equality_resolution,[],[f192]) ).
fof(f242,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(f249,plain,
! [X3,X0,X1] :
( frontsegP(cons(X3,X0),cons(X3,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ frontsegP(X0,X1) ),
inference(duplicate_literal_removal,[],[f241]) ).
fof(f251,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(duplicate_literal_removal,[],[f234]) ).
fof(f256,definition,
( spl0_1
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f258,plain,
( nil = sk4
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f260,definition,
( spl0_2
<=> ssItem(sk8) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f261,plain,
( ~ ssItem(sk8)
| spl0_2 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f262,plain,
( ssItem(sk8)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f265,definition,
( spl0_3
<=> memberP(sk7,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f266,plain,
( ~ memberP(sk7,sk5)
| spl0_3 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f267,plain,
( memberP(sk7,sk5)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f269,definition,
( spl0_4
<=> memberP(sk6,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f271,plain,
( memberP(sk6,sk5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f272,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f211,f269,f265]) ).
fof(f274,definition,
( spl0_5
<=> memberP(sk4,sk8) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f275,plain,
( ~ memberP(sk4,sk8)
| spl0_5 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f276,plain,
( memberP(sk4,sk8)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f277,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f216,f274,f256]) ).
fof(f279,definition,
( spl0_6
<=> sk3 = cons(sk8,nil) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f281,plain,
( sk3 = cons(sk8,nil)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f286,definition,
( spl0_7
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f287,plain,
( nil != sk3
| spl0_7 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f288,plain,
( nil = sk3
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f289,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f219,f279,f286]) ).
fof(f312,definition,
( spl0_9
<=> ! [X1] : ssItem(X1) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f313,plain,
( ! [X1] : ssItem(X1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f315,definition,
( spl0_10
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f316,plain,
( ! [X0] :
( duplicatefreeP(X0)
| ~ ssList(X0) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f317,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f72,f315,f312]) ).
fof(f346,plain,
sk3 = app(sk3,nil),
inference(resolution,[],[f73,f202]) ).
fof(f378,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f74,f202]) ).
fof(f428,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| cons(X0,X1) != X1 )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f100,f313]) ).
fof(f461,plain,
( ! [X0] : sk3 != cons(X0,sk3)
| ~ spl0_9 ),
inference(resolution,[],[f428,f202]) ).
fof(f465,plain,
( ! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f251,f313]) ).
fof(f468,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| tl(cons(X0,X1)) = X1 )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f96,f313]) ).
fof(f503,plain,
( ! [X0] : sk7 = tl(cons(X0,sk7))
| ~ spl0_9 ),
inference(resolution,[],[f468,f208]) ).
fof(f614,plain,
( sk3 = cons(hd(sk3),tl(sk3))
| nil = sk3 ),
inference(resolution,[],[f107,f202]) ).
fof(f616,plain,
( sk6 = cons(hd(sk6),tl(sk6))
| nil = sk6 ),
inference(resolution,[],[f107,f207]) ).
fof(f619,plain,
( sk3 = cons(hd(sk3),tl(sk3))
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f614,f287]) ).
fof(f667,plain,
( sk6 = cons(skaf83(sk6),skaf82(sk6))
| nil = sk6 ),
inference(resolution,[],[f112,f207]) ).
fof(f668,plain,
( sk7 = cons(skaf83(sk7),skaf82(sk7))
| nil = sk7 ),
inference(resolution,[],[f112,f208]) ).
fof(f684,plain,
( nil != sk3
| ~ ssList(sk7)
| ~ ssList(app(sk6,cons(sk5,nil)))
| nil = app(sk6,cons(sk5,nil)) ),
inference(superposition,[],[f122,f224]) ).
fof(f700,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f126,f313]) ).
fof(f736,plain,
( ! [X0] : cons(X0,sk3) = app(cons(X0,nil),sk3)
| ~ spl0_9 ),
inference(resolution,[],[f700,f202]) ).
fof(f739,plain,
( ! [X0] : cons(X0,sk7) = app(cons(X0,nil),sk7)
| ~ spl0_9 ),
inference(resolution,[],[f700,f208]) ).
fof(f784,plain,
( ~ memberP(nil,sk8)
| ~ spl0_1
| spl0_5 ),
inference(forward_demodulation,[],[f275,f258]) ).
fof(f785,plain,
( memberP(sk4,sk8)
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f220,f287]) ).
fof(f786,plain,
( memberP(nil,sk8)
| ~ spl0_1
| spl0_7 ),
inference(forward_demodulation,[],[f785,f258]) ).
fof(f787,plain,
( $false
| ~ spl0_1
| spl0_5
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f786,f784]) ).
fof(f788,plain,
( ~ spl0_1
| spl0_5
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f787]) ).
fof(f854,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f235,f85]) ).
fof(f874,plain,
( rearsegP(sk3,sk7)
| ~ ssList(sk7)
| ~ ssList(app(sk6,cons(sk5,nil))) ),
inference(superposition,[],[f854,f224]) ).
fof(f882,plain,
( rearsegP(sk3,sk7)
| ~ ssList(app(sk6,cons(sk5,nil))) ),
inference(forward_subsumption_resolution,[],[f874,f208]) ).
fof(f885,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f236,f85]) ).
fof(f905,plain,
( frontsegP(sk3,app(sk6,cons(sk5,nil)))
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(sk7) ),
inference(superposition,[],[f885,f224]) ).
fof(f913,plain,
( frontsegP(sk3,app(sk6,cons(sk5,nil)))
| ~ ssList(app(sk6,cons(sk5,nil))) ),
inference(forward_subsumption_resolution,[],[f905,f208]) ).
fof(f1102,plain,
! [X0] :
( frontsegP(sk3,X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ frontsegP(app(sk6,cons(sk5,nil)),X0) ),
inference(superposition,[],[f148,f224]) ).
fof(f1111,plain,
! [X0] :
( frontsegP(sk3,X0)
| ~ ssList(X0)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ frontsegP(app(sk6,cons(sk5,nil)),X0) ),
inference(forward_subsumption_resolution,[],[f1102,f208]) ).
fof(f1124,definition,
( spl0_13
<=> ssList(tl(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f1125,plain,
( ssList(tl(sk3))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f1126,plain,
( ~ ssList(tl(sk3))
| spl0_13 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f1134,plain,
( ~ ssList(sk3)
| nil = sk3
| spl0_13 ),
inference(resolution,[],[f1126,f75]) ).
fof(f1135,plain,
( nil = sk3
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f1134,f202]) ).
fof(f1136,plain,
( $false
| spl0_7
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f1135,f287]) ).
fof(f1137,plain,
( spl0_7
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1136]) ).
fof(f1155,plain,
( ! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f151,f313]) ).
fof(f1173,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssList(sk7)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ memberP(app(sk6,cons(sk5,nil)),X0) )
| ~ spl0_9 ),
inference(superposition,[],[f1155,f224]) ).
fof(f1179,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ memberP(app(sk6,cons(sk5,nil)),X0) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1173,f208]) ).
fof(f1188,plain,
( ! [X2,X0,X1] :
( memberP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f152,f313]) ).
fof(f1666,plain,
! [X0] :
( sk3 != app(X0,sk7)
| ~ ssList(X0)
| ~ ssList(sk7)
| ~ ssList(app(sk6,cons(sk5,nil)))
| app(sk6,cons(sk5,nil)) = X0 ),
inference(superposition,[],[f163,f224]) ).
fof(f1683,plain,
! [X0] :
( sk3 != app(X0,sk7)
| ~ ssList(X0)
| ~ ssList(app(sk6,cons(sk5,nil)))
| app(sk6,cons(sk5,nil)) = X0 ),
inference(forward_subsumption_resolution,[],[f1666,f208]) ).
fof(f1775,plain,
( ! [X3,X0,X1] :
( frontsegP(cons(X3,X0),cons(X3,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f249,f313]) ).
fof(f1783,plain,
( ! [X0] :
( frontsegP(cons(sk8,X0),sk3)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) )
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f1775,f281]) ).
fof(f1790,plain,
( ! [X0] :
( frontsegP(cons(sk8,X0),sk3)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) )
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1783,f8]) ).
fof(f1799,plain,
( ! [X0] :
( frontsegP(cons(sk8,X0),sk3)
| ~ ssList(X0) )
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1790,f60]) ).
fof(f2130,plain,
( ! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| memberP(X1,X2)
| X0 = X2 )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f174,f313]) ).
fof(f2131,plain,
( ! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| memberP(X1,X2)
| X0 = X2 )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f2130,f313]) ).
fof(f2143,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssList(nil)
| memberP(nil,X0)
| sk8 = X0 )
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f2131,f281]) ).
fof(f2152,plain,
( ! [X0] :
( memberP(nil,X0)
| ~ memberP(sk3,X0)
| sk8 = X0 )
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f2143,f8]) ).
fof(f2247,plain,
( ! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| X1 = X3 )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f185,f313]) ).
fof(f2248,plain,
( ! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssList(X3)
| ~ ssList(X1)
| X1 = X3 )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f2247,f313]) ).
fof(f2256,plain,
( ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssList(nil)
| ~ ssList(X1)
| nil = X1 )
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f2248,f281]) ).
fof(f2265,plain,
( ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssList(X1)
| nil = X1 )
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f2256,f8]) ).
fof(f2365,plain,
( ! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X1),cons(X2,X3))
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| frontsegP(X1,X3) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f188,f313]) ).
fof(f2366,plain,
( ! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X1),cons(X2,X3))
| ~ ssList(X3)
| ~ ssList(X1)
| frontsegP(X1,X3) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f2365,f313]) ).
fof(f2373,plain,
( ! [X0,X1] :
( ~ frontsegP(sk3,cons(X0,X1))
| ~ ssList(X1)
| ~ ssList(nil)
| frontsegP(nil,X1) )
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f2366,f281]) ).
fof(f2388,plain,
( ! [X0,X1] :
( ~ frontsegP(sk3,cons(X0,X1))
| ~ ssList(X1)
| frontsegP(nil,X1) )
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f2373,f8]) ).
fof(f2480,plain,
( cons(sk8,sk3) = app(sk3,sk3)
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f736,f281]) ).
fof(f2510,plain,
( ! [X2,X0,X1] :
( memberP(app(X0,cons(X1,X2)),X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X2) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f240,f313]) ).
fof(f3007,plain,
( cons(sk8,sk7) = app(sk3,sk7)
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f739,f281]) ).
fof(f3107,definition,
( spl0_20
<=> ssList(app(sk6,cons(sk5,nil))) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f3108,plain,
( ssList(app(sk6,cons(sk5,nil)))
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f3107]) ).
fof(f3109,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| spl0_20 ),
inference(avatar_component_clause,[],[f3107]) ).
fof(f3111,definition,
( spl0_21
<=> rearsegP(sk3,sk7) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f3113,plain,
( rearsegP(sk3,sk7)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f3111]) ).
fof(f3114,plain,
( ~ spl0_20
| spl0_21 ),
inference(avatar_split_clause,[],[f882,f3111,f3107]) ).
fof(f3129,plain,
( ~ ssList(sk7)
| ~ ssList(sk3)
| sk3 = app(skaf46(sk3,sk7),sk7)
| ~ spl0_21 ),
inference(resolution,[],[f3113,f142]) ).
fof(f3130,plain,
( ~ ssList(sk3)
| sk3 = app(skaf46(sk3,sk7),sk7)
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f3129,f208]) ).
fof(f3131,plain,
( sk3 = app(skaf46(sk3,sk7),sk7)
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f3130,f202]) ).
fof(f3167,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssList(sk7)
| ~ ssList(skaf46(sk3,sk7))
| ~ memberP(sk7,X0) )
| ~ spl0_9
| ~ spl0_21 ),
inference(superposition,[],[f1188,f3131]) ).
fof(f3170,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssList(skaf46(sk3,sk7))
| ~ memberP(sk7,X0) )
| ~ spl0_9
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f3167,f208]) ).
fof(f3182,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ memberP(sk7,X0) )
| ~ spl0_9
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f3170,f50]) ).
fof(f3288,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| sk8 = X0
| ~ ssItem(X0) )
| ~ spl0_6
| ~ spl0_9 ),
inference(resolution,[],[f2152,f71]) ).
fof(f3291,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| sk8 = X0 )
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f3288,f313]) ).
fof(f3293,definition,
( spl0_22
<=> ssList(cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f3294,plain,
( ssList(cons(sk5,nil))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f3293]) ).
fof(f3295,plain,
( ~ ssList(cons(sk5,nil))
| spl0_22 ),
inference(avatar_component_clause,[],[f3293]) ).
fof(f3409,definition,
( spl0_24
<=> nil = sk6 ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f3410,plain,
( nil != sk6
| spl0_24 ),
inference(avatar_component_clause,[],[f3409]) ).
fof(f3411,plain,
( nil = sk6
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f3409]) ).
fof(f3413,definition,
( spl0_25
<=> sk6 = cons(hd(sk6),tl(sk6)) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f3415,plain,
( sk6 = cons(hd(sk6),tl(sk6))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f3413]) ).
fof(f3416,plain,
( spl0_24
| spl0_25 ),
inference(avatar_split_clause,[],[f616,f3413,f3409]) ).
fof(f3419,plain,
( memberP(sk6,hd(sk6))
| ~ ssList(tl(sk6))
| ~ spl0_9
| ~ spl0_25 ),
inference(superposition,[],[f465,f3415]) ).
fof(f3453,definition,
( spl0_26
<=> ssList(tl(sk6)) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f3454,plain,
( ssList(tl(sk6))
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f3453]) ).
fof(f3455,plain,
( ~ ssList(tl(sk6))
| spl0_26 ),
inference(avatar_component_clause,[],[f3453]) ).
fof(f3457,plain,
( ! [X0] :
( ~ memberP(sk7,X0)
| sk8 = X0 )
| ~ spl0_6
| ~ spl0_9
| ~ spl0_21 ),
inference(resolution,[],[f3182,f3291]) ).
fof(f3461,definition,
( spl0_27
<=> nil = sk7 ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f3462,plain,
( nil != sk7
| spl0_27 ),
inference(avatar_component_clause,[],[f3461]) ).
fof(f3463,plain,
( nil = sk7
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f3461]) ).
fof(f3471,plain,
( memberP(nil,sk5)
| ~ spl0_3
| ~ spl0_27 ),
inference(superposition,[],[f267,f3463]) ).
fof(f3491,plain,
( ~ ssItem(sk5)
| ~ spl0_3
| ~ spl0_27 ),
inference(resolution,[],[f3471,f71]) ).
fof(f3494,plain,
( $false
| ~ spl0_3
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f3491,f206]) ).
fof(f3495,plain,
( ~ spl0_3
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f3494]) ).
fof(f3808,plain,
( sk7 = cons(skaf83(sk7),skaf82(sk7))
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f668,f3462]) ).
fof(f3809,plain,
( sk5 = sk8
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_21 ),
inference(resolution,[],[f3457,f267]) ).
fof(f3813,plain,
( memberP(sk7,skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ~ spl0_9
| spl0_27 ),
inference(superposition,[],[f465,f3808]) ).
fof(f3878,plain,
( memberP(sk7,skaf83(sk7))
| ~ spl0_9
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f3813,f13]) ).
fof(f3919,plain,
( sk8 = skaf83(sk7)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_21
| spl0_27 ),
inference(resolution,[],[f3878,f3457]) ).
fof(f3927,plain,
( sk3 != sk3
| ~ ssList(tl(sk3))
| nil = tl(sk3)
| ~ spl0_6
| spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f2265,f619]) ).
fof(f3934,plain,
( ~ ssList(tl(sk3))
| nil = tl(sk3)
| ~ spl0_6
| spl0_7
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f3927]) ).
fof(f3939,plain,
( nil = tl(sk3)
| ~ spl0_6
| spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f3934,f1125]) ).
fof(f4153,plain,
( memberP(sk7,sk8)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_21
| spl0_27 ),
inference(superposition,[],[f3878,f3919]) ).
fof(f4709,plain,
( frontsegP(sk3,app(sk6,cons(sk5,nil)))
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f913,f3108]) ).
fof(f4710,plain,
( frontsegP(sk3,app(sk6,cons(sk8,nil)))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f4709,f3809]) ).
fof(f4711,plain,
( frontsegP(sk3,app(sk6,sk3))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f4710,f281]) ).
fof(f4917,definition,
( spl0_31
<=> memberP(sk6,hd(sk6)) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f4919,plain,
( memberP(sk6,hd(sk6))
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f4917]) ).
fof(f4920,plain,
( ~ spl0_26
| spl0_31
| ~ spl0_9
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f3419,f3413,f312,f4917,f3453]) ).
fof(f4973,plain,
( ~ ssList(sk6)
| nil = sk6
| spl0_26 ),
inference(resolution,[],[f3455,f75]) ).
fof(f4974,plain,
( nil = sk6
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f4973,f207]) ).
fof(f4975,plain,
( $false
| spl0_24
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f4974,f3410]) ).
fof(f4976,plain,
( spl0_24
| spl0_26 ),
inference(avatar_contradiction_clause,[],[f4975]) ).
fof(f4978,plain,
( sk3 = app(app(nil,cons(sk5,nil)),sk7)
| ~ spl0_24 ),
inference(superposition,[],[f224,f3411]) ).
fof(f5005,plain,
( sk3 = app(app(nil,cons(sk8,nil)),sk7)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_21
| ~ spl0_24 ),
inference(forward_demodulation,[],[f4978,f3809]) ).
fof(f5007,plain,
( sk3 = app(app(nil,sk3),sk7)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_21
| ~ spl0_24 ),
inference(forward_demodulation,[],[f5005,f281]) ).
fof(f5009,plain,
( sk3 = app(sk3,sk7)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_21
| ~ spl0_24 ),
inference(forward_demodulation,[],[f5007,f378]) ).
fof(f5073,plain,
( sk3 = cons(sk8,sk7)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_21
| ~ spl0_24 ),
inference(superposition,[],[f5009,f3007]) ).
fof(f5161,plain,
( sk7 = tl(sk3)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_21
| ~ spl0_24 ),
inference(superposition,[],[f503,f5073]) ).
fof(f5227,plain,
( nil = sk7
| ~ spl0_3
| ~ spl0_6
| spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_21
| ~ spl0_24 ),
inference(forward_demodulation,[],[f5161,f3939]) ).
fof(f5235,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_21
| ~ spl0_24
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f5227,f3462]) ).
fof(f5236,plain,
( ~ spl0_3
| ~ spl0_6
| spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_21
| ~ spl0_24
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f5235]) ).
fof(f5277,plain,
( sk6 = cons(skaf83(sk6),skaf82(sk6))
| spl0_24 ),
inference(forward_subsumption_resolution,[],[f667,f3410]) ).
fof(f5282,plain,
( memberP(sk6,skaf83(sk6))
| ~ ssList(skaf82(sk6))
| ~ spl0_9
| spl0_24 ),
inference(superposition,[],[f465,f5277]) ).
fof(f5357,plain,
( memberP(sk6,skaf83(sk6))
| ~ spl0_9
| spl0_24 ),
inference(forward_subsumption_resolution,[],[f5282,f13]) ).
fof(f7176,plain,
( ! [X0] :
( ~ memberP(app(sk6,cons(sk5,nil)),X0)
| memberP(sk3,X0) )
| ~ spl0_9
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1179,f3108]) ).
fof(f7177,plain,
( ! [X0] :
( ~ memberP(app(sk6,cons(sk8,nil)),X0)
| memberP(sk3,X0) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f7176,f3809]) ).
fof(f7178,plain,
( ! [X0] :
( ~ memberP(app(sk6,sk3),X0)
| memberP(sk3,X0) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f7177,f281]) ).
fof(f7180,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssList(sk3)
| ~ ssList(sk6)
| ~ memberP(sk6,X0) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21 ),
inference(resolution,[],[f7178,f1155]) ).
fof(f7182,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssList(sk6)
| ~ memberP(sk6,X0) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f7180,f202]) ).
fof(f7183,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ memberP(sk6,X0) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f7182,f207]) ).
fof(f7184,plain,
( ! [X0] :
( ~ memberP(sk6,X0)
| sk8 = X0 )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21 ),
inference(resolution,[],[f7183,f3291]) ).
fof(f7189,plain,
( sk8 = hd(sk6)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21
| ~ spl0_31 ),
inference(resolution,[],[f7184,f4919]) ).
fof(f7224,plain,
( ! [X0] :
( frontsegP(sk3,X0)
| ~ ssList(X0)
| ~ frontsegP(app(sk6,cons(sk5,nil)),X0) )
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1111,f3108]) ).
fof(f7225,plain,
( ! [X0] :
( ~ frontsegP(app(sk6,cons(sk8,nil)),X0)
| frontsegP(sk3,X0)
| ~ ssList(X0) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f7224,f3809]) ).
fof(f7226,plain,
( ! [X0] :
( ~ frontsegP(app(sk6,sk3),X0)
| frontsegP(sk3,X0)
| ~ ssList(X0) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f7225,f281]) ).
fof(f7228,plain,
( sk6 = cons(sk8,tl(sk6))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21
| ~ spl0_25
| ~ spl0_31 ),
inference(superposition,[],[f3415,f7189]) ).
fof(f7235,plain,
( frontsegP(sk3,sk6)
| ~ ssList(sk6)
| ~ ssList(sk6)
| ~ ssList(sk3)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21 ),
inference(resolution,[],[f7226,f885]) ).
fof(f7243,plain,
( frontsegP(sk3,sk6)
| ~ ssList(sk6)
| ~ ssList(sk3)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21 ),
inference(duplicate_literal_removal,[],[f7235]) ).
fof(f7247,plain,
( frontsegP(sk3,sk6)
| ~ ssList(sk3)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f7243,f207]) ).
fof(f7250,plain,
( frontsegP(sk3,sk6)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f7247,f202]) ).
fof(f7324,plain,
( ! [X0] :
( sk3 != app(X0,sk7)
| ~ ssList(X0)
| app(sk6,cons(sk5,nil)) = X0 )
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1683,f3108]) ).
fof(f7342,plain,
( frontsegP(sk6,sk3)
| ~ ssList(tl(sk6))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21
| ~ spl0_25
| ~ spl0_31 ),
inference(superposition,[],[f1799,f7228]) ).
fof(f7413,plain,
( frontsegP(sk6,sk3)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21
| ~ spl0_25
| ~ spl0_26
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f7342,f3454]) ).
fof(f7420,plain,
( ~ frontsegP(sk3,sk6)
| ~ ssList(sk3)
| ~ ssList(sk6)
| sk3 = sk6
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21
| ~ spl0_25
| ~ spl0_26
| ~ spl0_31 ),
inference(resolution,[],[f7413,f139]) ).
fof(f7421,plain,
( ~ ssList(sk3)
| ~ ssList(sk6)
| sk3 = sk6
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21
| ~ spl0_25
| ~ spl0_26
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f7420,f7250]) ).
fof(f7424,plain,
( ~ ssList(sk6)
| sk3 = sk6
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21
| ~ spl0_25
| ~ spl0_26
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f7421,f202]) ).
fof(f7427,plain,
( sk3 = sk6
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21
| ~ spl0_25
| ~ spl0_26
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f7424,f207]) ).
fof(f7470,plain,
( frontsegP(sk3,app(sk3,sk3))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21
| ~ spl0_25
| ~ spl0_26
| ~ spl0_31 ),
inference(superposition,[],[f4711,f7427]) ).
fof(f7490,plain,
( frontsegP(sk3,cons(sk8,sk3))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21
| ~ spl0_25
| ~ spl0_26
| ~ spl0_31 ),
inference(forward_demodulation,[],[f7470,f2480]) ).
fof(f7863,plain,
( ~ ssList(sk3)
| frontsegP(nil,sk3)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21
| ~ spl0_25
| ~ spl0_26
| ~ spl0_31 ),
inference(resolution,[],[f7490,f2388]) ).
fof(f7866,plain,
( frontsegP(nil,sk3)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21
| ~ spl0_25
| ~ spl0_26
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f7863,f202]) ).
fof(f7909,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk6)
| ~ memberP(sk6,X0) )
| ~ spl0_9
| ~ spl0_20 ),
inference(resolution,[],[f7176,f1155]) ).
fof(f7910,plain,
( memberP(sk3,sk5)
| ~ ssList(sk6)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_9
| ~ spl0_20 ),
inference(resolution,[],[f7176,f2510]) ).
fof(f7911,plain,
( memberP(sk3,sk5)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_9
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f7910,f207]) ).
fof(f7912,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssList(sk6)
| ~ memberP(sk6,X0) )
| ~ spl0_9
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f7909,f3294]) ).
fof(f7914,plain,
( memberP(sk3,sk5)
| ~ ssList(nil)
| ~ spl0_9
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f7911,f3108]) ).
fof(f7915,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ memberP(sk6,X0) )
| ~ spl0_9
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f7912,f207]) ).
fof(f7917,plain,
( memberP(sk3,sk5)
| ~ spl0_9
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f7914,f8]) ).
fof(f7918,plain,
( sk5 = sk8
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20 ),
inference(resolution,[],[f7917,f3291]) ).
fof(f7977,plain,
( ~ memberP(sk7,sk8)
| spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20 ),
inference(superposition,[],[f266,f7918]) ).
fof(f7995,plain,
( ! [X0] :
( ~ frontsegP(app(sk6,cons(sk8,nil)),X0)
| frontsegP(sk3,X0)
| ~ ssList(X0) )
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20 ),
inference(forward_demodulation,[],[f7224,f7918]) ).
fof(f7996,plain,
( ! [X0] :
( ~ frontsegP(app(sk6,sk3),X0)
| frontsegP(sk3,X0)
| ~ ssList(X0) )
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20 ),
inference(forward_demodulation,[],[f7995,f281]) ).
fof(f7998,plain,
( frontsegP(sk3,sk6)
| ~ ssList(sk6)
| ~ ssList(sk6)
| ~ ssList(sk3)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20 ),
inference(resolution,[],[f7996,f885]) ).
fof(f8006,plain,
( frontsegP(sk3,sk6)
| ~ ssList(sk6)
| ~ ssList(sk3)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20 ),
inference(duplicate_literal_removal,[],[f7998]) ).
fof(f8009,plain,
( frontsegP(sk3,sk6)
| ~ ssList(sk3)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f8006,f207]) ).
fof(f8011,plain,
( frontsegP(sk3,sk6)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f8009,f202]) ).
fof(f8029,plain,
( $false
| spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f4153,f7977]) ).
fof(f8030,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f8029]) ).
fof(f8174,plain,
( ! [X0] :
( app(X0,nil) != sk3
| ~ ssList(X0)
| app(sk6,cons(sk5,nil)) = X0 )
| ~ spl0_20
| ~ spl0_27 ),
inference(forward_demodulation,[],[f7324,f3463]) ).
fof(f8175,plain,
( ! [X0] :
( app(sk6,cons(sk8,nil)) = X0
| app(X0,nil) != sk3
| ~ ssList(X0) )
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_27 ),
inference(forward_demodulation,[],[f8174,f7918]) ).
fof(f8176,plain,
( ! [X0] :
( app(X0,nil) != sk3
| app(sk6,sk3) = X0
| ~ ssList(X0) )
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_27 ),
inference(forward_demodulation,[],[f8175,f281]) ).
fof(f8192,plain,
( sk3 != sk3
| sk3 = app(sk6,sk3)
| ~ ssList(sk3)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_27 ),
inference(superposition,[],[f8176,f346]) ).
fof(f8196,plain,
( sk3 = app(sk6,sk3)
| ~ ssList(sk3)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f8192]) ).
fof(f8198,plain,
( sk3 = app(sk6,sk3)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f8196,f202]) ).
fof(f9215,plain,
( ~ ssList(sk3)
| nil = sk3
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21
| ~ spl0_25
| ~ spl0_26
| ~ spl0_31 ),
inference(resolution,[],[f7866,f84]) ).
fof(f9218,plain,
( nil = sk3
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21
| ~ spl0_25
| ~ spl0_26
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f9215,f202]) ).
fof(f9220,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| spl0_7
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21
| ~ spl0_25
| ~ spl0_26
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f9218,f287]) ).
fof(f9221,plain,
( ~ spl0_3
| ~ spl0_6
| spl0_7
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21
| ~ spl0_25
| ~ spl0_26
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f9220]) ).
fof(f10373,plain,
( ! [X0] :
( ~ memberP(sk6,X0)
| sk8 = X0 )
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_22 ),
inference(resolution,[],[f7915,f3291]) ).
fof(f10377,plain,
( sk8 = skaf83(sk6)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_22
| spl0_24 ),
inference(resolution,[],[f10373,f5357]) ).
fof(f10382,plain,
( sk6 = cons(sk8,skaf82(sk6))
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_22
| spl0_24 ),
inference(superposition,[],[f5277,f10377]) ).
fof(f10506,plain,
( frontsegP(sk6,sk3)
| ~ ssList(skaf82(sk6))
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_22
| spl0_24 ),
inference(superposition,[],[f1799,f10382]) ).
fof(f10599,plain,
( frontsegP(sk6,sk3)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_22
| spl0_24 ),
inference(forward_subsumption_resolution,[],[f10506,f13]) ).
fof(f10623,plain,
( ~ frontsegP(sk3,sk6)
| ~ ssList(sk3)
| ~ ssList(sk6)
| sk3 = sk6
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_22
| spl0_24 ),
inference(resolution,[],[f10599,f139]) ).
fof(f10624,plain,
( ~ ssList(sk3)
| ~ ssList(sk6)
| sk3 = sk6
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_22
| spl0_24 ),
inference(forward_subsumption_resolution,[],[f10623,f8011]) ).
fof(f10627,plain,
( ~ ssList(sk6)
| sk3 = sk6
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_22
| spl0_24 ),
inference(forward_subsumption_resolution,[],[f10624,f202]) ).
fof(f10630,plain,
( sk3 = sk6
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_22
| spl0_24 ),
inference(forward_subsumption_resolution,[],[f10627,f207]) ).
fof(f10669,plain,
( sk3 = app(sk3,sk3)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_22
| spl0_24
| ~ spl0_27 ),
inference(superposition,[],[f8198,f10630]) ).
fof(f10818,plain,
( sk3 = cons(sk8,sk3)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_22
| spl0_24
| ~ spl0_27 ),
inference(superposition,[],[f10669,f2480]) ).
fof(f10878,plain,
( $false
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_22
| spl0_24
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f10818,f461]) ).
fof(f10879,plain,
( ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_22
| spl0_24
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f10878]) ).
fof(f10921,plain,
( memberP(nil,sk5)
| ~ spl0_4
| ~ spl0_24 ),
inference(superposition,[],[f271,f3411]) ).
fof(f10988,plain,
( nil != sk3
| ~ ssList(app(sk6,cons(sk5,nil)))
| nil = app(sk6,cons(sk5,nil)) ),
inference(forward_subsumption_resolution,[],[f684,f208]) ).
fof(f11052,plain,
( nil != sk3
| nil = app(sk6,cons(sk5,nil))
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f10988,f3108]) ).
fof(f11218,plain,
( nil = app(sk6,cons(sk5,nil))
| ~ spl0_7
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f11052,f288]) ).
fof(f11335,plain,
( nil != nil
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk6)
| nil = cons(sk5,nil)
| ~ spl0_7
| ~ spl0_20 ),
inference(superposition,[],[f124,f11218]) ).
fof(f11349,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(sk6)
| nil = cons(sk5,nil)
| ~ spl0_7
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f11335]) ).
fof(f11364,plain,
( ~ ssList(sk6)
| nil = cons(sk5,nil)
| ~ spl0_7
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f11349,f3294]) ).
fof(f11388,plain,
( nil = cons(sk5,nil)
| ~ spl0_7
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f11364,f207]) ).
fof(f11599,plain,
! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) != X0 ),
inference(resolution,[],[f100,f206]) ).
fof(f11769,plain,
( ~ ssItem(sk5)
| ~ spl0_4
| ~ spl0_24 ),
inference(resolution,[],[f10921,f71]) ).
fof(f11770,plain,
( $false
| ~ spl0_4
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f11769,f206]) ).
fof(f11771,plain,
( ~ spl0_4
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f11770]) ).
fof(f12488,plain,
( ~ ssItem(sk8)
| ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk8),cons(sk8,skaf43(sk8,sk4)))
| ~ spl0_5 ),
inference(resolution,[],[f182,f276]) ).
fof(f12497,plain,
( ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk8),cons(sk8,skaf43(sk8,sk4)))
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f12488,f262]) ).
fof(f12507,plain,
( sk4 = app(skaf42(sk4,sk8),cons(sk8,skaf43(sk8,sk4)))
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f12497,f203]) ).
fof(f12686,plain,
nil != cons(sk5,nil),
inference(resolution,[],[f11599,f8]) ).
fof(f12746,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X3) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f242,f316]) ).
fof(f12752,plain,
( ! [X0,X1] :
( ~ ssList(app(app(X0,cons(sk8,X1)),sk3))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(sk8)
| ~ ssList(nil) )
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f12746,f281]) ).
fof(f12759,plain,
( ! [X0,X1] :
( ~ ssList(app(app(X0,cons(sk8,X1)),sk3))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f12752,f262]) ).
fof(f12767,plain,
( ! [X0,X1] :
( ~ ssList(app(app(X0,cons(sk8,X1)),sk3))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f12759,f8]) ).
fof(f14135,plain,
( ~ ssList(app(sk4,sk3))
| ~ ssList(skaf43(sk8,sk4))
| ~ ssList(skaf42(sk4,sk8))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f12767,f12507]) ).
fof(f14136,plain,
( ~ ssList(app(sk4,sk3))
| ~ ssList(skaf42(sk4,sk8))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f14135,f52]) ).
fof(f14140,plain,
( ~ ssList(app(sk4,sk3))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f14136,f53]) ).
fof(f14141,plain,
( ~ ssList(sk4)
| ~ ssList(sk3)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(resolution,[],[f14140,f85]) ).
fof(f14142,plain,
( ~ ssList(sk3)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f14141,f203]) ).
fof(f14143,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f14142,f202]) ).
fof(f14144,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f14143]) ).
fof(f14145,plain,
( ssItem(sk8)
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f213,f287]) ).
fof(f14173,plain,
( $false
| spl0_2
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f14145,f261]) ).
fof(f14174,plain,
( spl0_2
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f14173]) ).
fof(f14176,plain,
( $false
| ~ spl0_7
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f11388,f12686]) ).
fof(f14177,plain,
( ~ spl0_7
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f14176]) ).
fof(f14292,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_22 ),
inference(resolution,[],[f3295,f86]) ).
fof(f14293,plain,
( ~ ssItem(sk5)
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f14292,f8]) ).
fof(f14294,plain,
( $false
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f14293,f206]) ).
fof(f14295,plain,
spl0_22,
inference(avatar_contradiction_clause,[],[f14294]) ).
fof(f14490,plain,
( ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| spl0_20 ),
inference(resolution,[],[f3109,f85]) ).
fof(f14491,plain,
( ~ ssList(cons(sk5,nil))
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f14490,f207]) ).
fof(f14492,plain,
( $false
| spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f14491,f3294]) ).
fof(f14493,plain,
( spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f14492]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f272]) ).
cnf(s3,plain,
( spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f277]) ).
cnf(s5,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f289]) ).
cnf(s7,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f317]) ).
cnf(s12,plain,
( ~ spl0_1
| spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f788]) ).
cnf(s16,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f1137]) ).
cnf(s20,plain,
( ~ spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f3114]) ).
cnf(s24,plain,
( spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f3416]) ).
cnf(s27,plain,
( ~ spl0_3
| ~ spl0_27 ),
inference(sat_conversion,[],[f3495]) ).
cnf(s30,plain,
( ~ spl0_9
| ~ spl0_25
| ~ spl0_26
| spl0_31 ),
inference(sat_conversion,[],[f4920]) ).
cnf(s31,plain,
( spl0_24
| spl0_26 ),
inference(sat_conversion,[],[f4976]) ).
cnf(s33,plain,
( ~ spl0_3
| ~ spl0_6
| spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_21
| ~ spl0_24
| spl0_27 ),
inference(sat_conversion,[],[f5236]) ).
cnf(s42,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21
| spl0_27 ),
inference(sat_conversion,[],[f8030]) ).
cnf(s46,plain,
( ~ spl0_3
| ~ spl0_6
| spl0_7
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21
| ~ spl0_25
| ~ spl0_26
| ~ spl0_31 ),
inference(sat_conversion,[],[f9221]) ).
cnf(s54,plain,
( ~ spl0_6
| ~ spl0_9
| ~ spl0_20
| ~ spl0_22
| spl0_24
| ~ spl0_27 ),
inference(sat_conversion,[],[f10879]) ).
cnf(s66,plain,
( ~ spl0_4
| ~ spl0_24 ),
inference(sat_conversion,[],[f11771]) ).
cnf(s68,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(sat_conversion,[],[f14144]) ).
cnf(s69,plain,
( spl0_2
| spl0_7 ),
inference(sat_conversion,[],[f14174]) ).
cnf(s70,plain,
( ~ spl0_7
| ~ spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f14177]) ).
cnf(s73,plain,
spl0_22,
inference(sat_conversion,[],[f14295]) ).
cnf(s75,plain,
( spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f14493]) ).
cnf(s76,plain,
spl0_20,
inference(rat,[],[s75,s73]) ).
cnf(s78,plain,
~ spl0_7,
inference(rat,[],[s70,s73,s76]) ).
cnf(s79,plain,
spl0_2,
inference(rat,[],[s69,s78]) ).
cnf(s80,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(rat,[],[s68,s79]) ).
cnf(s83,plain,
( ~ spl0_6
| ~ spl0_9
| spl0_24
| ~ spl0_27 ),
inference(rat,[],[s54,s73,s76]) ).
cnf(s87,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_21
| ~ spl0_25
| ~ spl0_26
| ~ spl0_31 ),
inference(rat,[],[s46,s76,s78]) ).
cnf(s90,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_21
| spl0_27 ),
inference(rat,[],[s42,s76]) ).
cnf(s92,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_13
| ~ spl0_21
| ~ spl0_24
| spl0_27 ),
inference(rat,[],[s33,s78]) ).
cnf(s95,plain,
spl0_21,
inference(rat,[],[s20,s76]) ).
cnf(s99,plain,
spl0_13,
inference(rat,[],[s16,s78]) ).
cnf(s101,plain,
( ~ spl0_1
| spl0_5 ),
inference(rat,[],[s12,s78]) ).
cnf(s104,plain,
spl0_6,
inference(rat,[],[s5,s78]) ).
cnf(s105,plain,
( spl0_3
| ~ spl0_9 ),
inference(rat,[],[s66,s83,s2,s90,s95,s104]) ).
cnf(s106,plain,
( spl0_27
| ~ spl0_3
| ~ spl0_9 ),
inference(rat,[],[s87,s30,s24,s31,s92,s99,s95,s104]) ).
cnf(s107,plain,
~ spl0_9,
inference(rat,[],[s106,s27,s105]) ).
cnf(s108,plain,
spl0_10,
inference(rat,[],[s7,s107]) ).
cnf(s109,plain,
~ spl0_5,
inference(rat,[],[s80,s104,s108]) ).
cnf(s110,plain,
~ spl0_1,
inference(rat,[],[s101,s109]) ).
cnf(s111,plain,
$false,
inference(rat,[],[s3,s109,s110]) ).
fof(f14494,plain,
$false,
inference(avatar_sat_refutation,[],[s111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC184-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n004.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 28 08:21:22 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 7.99/1.82 % (204724)Will run a generic schedule for satisfiability detection.
% 7.99/1.82 % (204735)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2569774390:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.99/1.82 % (204730)% WARNING: option uhcvi not known.
% 7.99/1.82 % (204734)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1420149006:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.99/1.82 % (204729)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1262107793_2999 on theBenchmark for (2999ds/0Mi)
% 7.99/1.82 % (204730)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1777060671:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.99/1.82 % (204731)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3709148506:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.99/1.82 % (204732)dis+10_1_sil=32000:sp=arity:random_seed=4063149238:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.99/1.82 % (204733)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3738096065:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.99/1.82 % TRYING [1]
% 7.99/1.82 % TRYING [2]
% 7.99/1.82 % TRYING [3]
% 7.99/1.82 % TRYING [4]
% 7.99/1.82 % (204735)Instruction limit reached!
% 7.99/1.82 % (204735)------------------------------
% 7.99/1.82 % (204735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.82 % (204735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.82 % (204735)CaDiCaL version: 2.1.3
% 7.99/1.82 % (204735)Termination reason: Instruction limit
% 7.99/1.82 % (204735)Termination phase: Saturation
% 7.99/1.82 % (204735)Time elapsed: 0.052 s
% 7.99/1.82 % (204735)Peak memory usage: 14 MB
% 7.99/1.82 % (204735)Instructions burned: 162 (million)
% 7.99/1.82 % (204743)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1627560108:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.99/1.82 % (204732)Instruction limit reached!
% 7.99/1.82 % (204732)------------------------------
% 7.99/1.82 % (204732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.82 % (204732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.82 % (204732)CaDiCaL version: 2.1.3
% 7.99/1.82 % (204732)Termination reason: Instruction limit
% 7.99/1.82 % (204732)Termination phase: Saturation
% 7.99/1.82 % (204732)Time elapsed: 0.061 s
% 7.99/1.82 % (204732)Peak memory usage: 13 MB
% 7.99/1.82 % (204732)Instructions burned: 104 (million)
% 7.99/1.82 % (204733)Instruction limit reached!
% 7.99/1.82 % (204733)------------------------------
% 7.99/1.82 % (204733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.82 % (204733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.82 % (204733)CaDiCaL version: 2.1.3
% 7.99/1.82 % (204733)Termination reason: Instruction limit
% 7.99/1.82 % (204733)Termination phase: Saturation
% 7.99/1.82 % (204733)Time elapsed: 0.060 s
% 7.99/1.82 % (204733)Peak memory usage: 13 MB
% 7.99/1.82 % (204733)Instructions burned: 116 (million)
% 7.99/1.82 % TRYING [1]
% 7.99/1.82 % TRYING [2]
% 7.99/1.82 % (204734)Instruction limit reached!
% 7.99/1.82 % (204734)------------------------------
% 7.99/1.82 % (204734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.82 % (204734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.82 % (204734)CaDiCaL version: 2.1.3
% 7.99/1.82 % (204734)Termination reason: Instruction limit
% 7.99/1.82 % (204734)Termination phase: Saturation
% 7.99/1.82 % (204734)Time elapsed: 0.065 s
% 7.99/1.82 % (204734)Peak memory usage: 14 MB
% 7.99/1.82 % (204734)Instructions burned: 131 (million)
% 7.99/1.82 % TRYING [3]
% 7.99/1.82 % TRYING [4]
% 7.99/1.82 % (204746)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=1917654485:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 7.99/1.82 % (204745)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3017198143:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 7.99/1.82 % (204747)ott-21_1_sil=16000:fs=off:random_seed=2548374244:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.99/1.82 % TRYING [5]
% 7.99/1.82 % TRYING [5]
% 7.99/1.82 % (204745)Instruction limit reached!
% 7.99/1.82 % (204745)------------------------------
% 7.99/1.82 % (204745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.82 % (204745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.82 % (204745)CaDiCaL version: 2.1.3
% 7.99/1.82 % (204745)Termination reason: Instruction limit
% 7.99/1.82 % (204745)Termination phase: Saturation
% 7.99/1.82 % (204745)Time elapsed: 0.069 s
% 7.99/1.82 % (204745)Peak memory usage: 13 MB
% 7.99/1.82 % (204745)Instructions burned: 133 (million)
% 7.99/1.82 % (204751)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4154619504:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.99/1.82 % (204747)Instruction limit reached!
% 7.99/1.82 % (204747)------------------------------
% 7.99/1.82 % (204747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.82 % (204747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.82 % (204747)CaDiCaL version: 2.1.3
% 7.99/1.82 % (204747)Termination reason: Instruction limit
% 7.99/1.82 % (204747)Termination phase: Saturation
% 7.99/1.82 % (204747)Time elapsed: 0.088 s
% 7.99/1.82 % (204747)Peak memory usage: 13 MB
% 7.99/1.82 % (204747)Instructions burned: 180 (million)
% 7.99/1.82 % (204753)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1363277544:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.99/1.82 % TRYING [1]
% 7.99/1.82 % TRYING [2]
% 7.99/1.82 % TRYING [6]
% 7.99/1.82 % (204743)Instruction limit reached!
% 7.99/1.82 % (204743)------------------------------
% 7.99/1.82 % (204743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.82 % (204743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.82 % (204743)CaDiCaL version: 2.1.3
% 7.99/1.82 % (204743)Termination reason: Instruction limit
% 7.99/1.82 % (204743)Termination phase: Finite model building constraint generation
% 7.99/1.82 % (204743)Time elapsed: 0.153 s
% 7.99/1.82 % (204743)Peak memory usage: 34 MB
% 7.99/1.82 % (204743)Instructions burned: 721 (million)
% 7.99/1.82 % TRYING [3]
% 7.99/1.82 % (204755)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3780810829:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 7.99/1.82 % TRYING [4]
% 7.99/1.82 % TRYING [6]
% 7.99/1.82 % TRYING [5]
% 7.99/1.82 % (204751)Instruction limit reached!
% 7.99/1.82 % (204751)------------------------------
% 7.99/1.82 % (204751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.82 % (204751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.82 % (204751)CaDiCaL version: 2.1.3
% 7.99/1.82 % (204751)Termination reason: Instruction limit
% 7.99/1.82 % (204751)Termination phase: Saturation
% 7.99/1.82 % (204751)Time elapsed: 0.296 s
% 7.99/1.82 % (204751)Peak memory usage: 14 MB
% 7.99/1.82 % (204751)Instructions burned: 477 (million)
% 7.99/1.82 % (204746)Instruction limit reached!
% 7.99/1.82 % (204746)------------------------------
% 7.99/1.82 % (204746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.82 % (204746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.82 % (204746)CaDiCaL version: 2.1.3
% 7.99/1.82 % (204746)Termination reason: Instruction limit
% 7.99/1.82 % (204746)Termination phase: Saturation
% 7.99/1.82 % (204746)Time elapsed: 0.392 s
% 7.99/1.82 % (204746)Peak memory usage: 20 MB
% 7.99/1.82 % (204746)Instructions burned: 686 (million)
% 7.99/1.82 % (204757)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2418168573:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 7.99/1.82 % (204758)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=3066252060:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 7.99/1.82 % (204753)Instruction limit reached!
% 7.99/1.82 % (204753)------------------------------
% 7.99/1.82 % (204753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.82 % (204753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.82 % (204753)CaDiCaL version: 2.1.3
% 7.99/1.82 % (204753)Termination reason: Instruction limit
% 7.99/1.82 % (204753)Termination phase: Finite model building SAT solving
% 7.99/1.82 % (204753)Time elapsed: 0.332 s
% 7.99/1.82 % (204753)Peak memory usage: 22 MB
% 7.99/1.82 % (204753)Instructions burned: 869 (million)
% 7.99/1.82 % (204761)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2275635224:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 7.99/1.82 % TRYING [14]
% 7.99/1.82 % (204755)Instruction limit reached!
% 7.99/1.82 % (204755)------------------------------
% 7.99/1.82 % (204755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.82 % (204755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.82 % (204755)CaDiCaL version: 2.1.3
% 7.99/1.82 % (204755)Termination reason: Instruction limit
% 7.99/1.82 % (204755)Termination phase: Saturation
% 7.99/1.82 % (204755)Time elapsed: 0.362 s
% 7.99/1.82 % (204755)Peak memory usage: 27 MB
% 7.99/1.82 % (204755)Instructions burned: 1179 (million)
% 7.99/1.82 % (204763)fmb+10_1_sil=64000:random_seed=1655221651:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 7.99/1.82 % TRYING [1]
% 7.99/1.82 % TRYING [2]
% 7.99/1.82 % TRYING [3]
% 7.99/1.82 % TRYING [4]
% 7.99/1.82 % TRYING [5]
% 7.99/1.82 % TRYING [7]
% 7.99/1.82 % (204757)Instruction limit reached!
% 7.99/1.82 % (204757)------------------------------
% 7.99/1.82 % (204757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.82 % (204757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.82 % (204757)CaDiCaL version: 2.1.3
% 7.99/1.82 % (204757)Termination reason: Instruction limit
% 7.99/1.82 % (204757)Termination phase: Finite model building constraint generation
% 7.99/1.82 % (204757)Time elapsed: 0.324 s
% 7.99/1.82 % (204757)Peak memory usage: 72 MB
% 7.99/1.82 % (204757)Instructions burned: 891 (million)
% 7.99/1.82 % (204765)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2473007107:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 7.99/1.82 % TRYING [20]
% 7.99/1.82 % (204758)Instruction limit reached!
% 7.99/1.82 % (204758)------------------------------
% 7.99/1.82 % (204758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.82 % (204758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.82 % (204758)CaDiCaL version: 2.1.3
% 7.99/1.82 % (204758)Termination reason: Instruction limit
% 7.99/1.82 % (204758)Termination phase: Saturation
% 7.99/1.82 % (204758)Time elapsed: 0.378 s
% 7.99/1.82 % (204758)Peak memory usage: 21 MB
% 7.99/1.82 % (204758)Instructions burned: 692 (million)
% 7.99/1.82 % (204767)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=263977328:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 7.99/1.82 % TRYING [8]
% 7.99/1.82 % TRYING [6]
% 7.99/1.82 % (204761)Instruction limit reached!
% 7.99/1.82 % (204761)------------------------------
% 7.99/1.82 % (204761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.82 % (204761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.82 % (204761)CaDiCaL version: 2.1.3
% 7.99/1.82 % (204761)Termination reason: Instruction limit
% 7.99/1.82 % (204761)Termination phase: Saturation
% 7.99/1.82 % (204761)Time elapsed: 0.477 s
% 7.99/1.82 % (204761)Peak memory usage: 20 MB
% 7.99/1.82 % (204761)Instructions burned: 882 (million)
% 7.99/1.82 % (204769)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3940893747:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 7.99/1.82 % (204767)Instruction limit reached!
% 7.99/1.82 % (204767)------------------------------
% 7.99/1.82 % (204767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.82 % (204767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.82 % (204767)CaDiCaL version: 2.1.3
% 7.99/1.82 % (204767)Termination reason: Instruction limit
% 7.99/1.82 % (204767)Termination phase: Finite model building constraint generation
% 7.99/1.82 % (204767)Time elapsed: 0.331 s
% 7.99/1.82 % (204767)Peak memory usage: 79 MB
% 7.99/1.82 % (204767)Instructions burned: 921 (million)
% 7.99/1.82 % (204771)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1921607114:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 7.99/1.82 % (204769) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-204724-204769"...
% 7.99/1.82 % (204769)...printing done.
% 7.99/1.82 % (204769)Refutation found. Thanks to Tanya!
% 7.99/1.82 % SZS status Unsatisfiable for theBenchmark
% 7.99/1.82 % SZS output start Proof for theBenchmark
% See solution above
% 7.99/1.83 % (204769)------------------------------
% 7.99/1.83 % (204769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.83 % (204769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.83 % (204769)CaDiCaL version: 2.1.3
% 7.99/1.83 % (204769)Termination reason: Refutation
% 7.99/1.83 % (204769)Time elapsed: 0.281 s
% 7.99/1.83 % (204769)Peak memory usage: 17 MB
% 7.99/1.83 % (204769)Instructions burned: 505 (million)
% 7.99/1.83 % (204724)Success in time 1.383 s
% 7.99/1.83 % Vampire exiting
%------------------------------------------------------------------------------