%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC170-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:04:56 PM UTC 2026
% Result : Unsatisfiable 43.00s 6.59s
% Output : Refutation 43.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 84
% Syntax : Number of formulae : 414 ( 58 unt; 35 def)
% Number of atoms : 1444 ( 166 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 2000 ( 970 ~; 995 |; 0 &)
% ( 35 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 45 ( 43 usr; 36 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 192 ( 0 sgn 192 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause11) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause13) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause47) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause51) ).
fof(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause56) ).
fof(f60,axiom,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause60) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause72) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause75) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause80) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause96) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause97) ).
fof(f100,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause99) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f103,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause101) ).
fof(f104,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause102) ).
fof(f105,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f104]) ).
fof(f107,axiom,
! [X0] :
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause104) ).
fof(f112,axiom,
! [X0] :
( ~ ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause109) ).
fof(f119,axiom,
! [X0,X1] :
( cons(X0,nil) != X1
| ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause116) ).
fof(f121,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/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(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause120) ).
fof(f126,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(reorient_equations,[],[f125]) ).
fof(f134,axiom,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ segmentP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause127) ).
fof(f135,plain,
! [X0,X1] :
( ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1 ),
inference(reorient_equations,[],[f134]) ).
fof(f138,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| X1 = X0 ),
file('/export/starexec/sandbox2/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(f143,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause132) ).
fof(f148,axiom,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SWC001-0.ax',clause140) ).
fof(f155,axiom,
! [X2,X0,X1] :
( app(X0,X1) != X2
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| frontsegP(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause144) ).
fof(f166,axiom,
! [X2,X0,X1] :
( ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| frontsegP(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause154) ).
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/sandbox2/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(f187,axiom,
! [X2,X3,X0,X1] :
( app(app(X0,X1),X2) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause173) ).
fof(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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SWC001-0.ax',clause179) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
segmentP(sk4,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f212,plain,
sk1 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(reorient_equations,[],[f211]) ).
fof(f213,negated_conjecture,
~ neq(sk5,sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f214,negated_conjecture,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f217,plain,
sk3 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(definition_unfolding,[],[f212,f205]) ).
fof(f225,plain,
! [X0] :
( singletonP(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(equality_resolution,[],[f119]) ).
fof(f227,plain,
! [X2,X1] :
( ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f149]) ).
fof(f229,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| frontsegP(app(X0,X1),X0) ),
inference(equality_resolution,[],[f155]) ).
fof(f232,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X2) ),
inference(equality_resolution,[],[f187]) ).
fof(f233,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(f234,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(f235,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(f242,plain,
! [X3,X0,X1] :
( frontsegP(cons(X3,X0),cons(X3,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ frontsegP(X0,X1) ),
inference(duplicate_literal_removal,[],[f234]) ).
fof(f244,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(duplicate_literal_removal,[],[f227]) ).
fof(f249,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f251,plain,
( ~ neq(sk4,nil)
| spl0_1 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f253,definition,
( spl0_2
<=> singletonP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f255,plain,
( singletonP(sk3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f256,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f214,f253,f249]) ).
fof(f262,definition,
( spl0_4
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f263,plain,
( ssList(nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f290,definition,
( spl0_10
<=> ! [X1] : ssItem(X1) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f291,plain,
( ! [X1] : ssItem(X1)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f293,definition,
( spl0_11
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f294,plain,
( ! [X0] :
( duplicatefreeP(X0)
| ~ ssList(X0) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f295,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f72,f293,f290]) ).
fof(f298,plain,
spl0_4,
inference(avatar_split_clause,[],[f8,f262]) ).
fof(f302,plain,
( ! [X0] : ~ memberP(nil,X0)
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f71,f291]) ).
fof(f371,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f74,f202]) ).
fof(f568,definition,
( spl0_12
<=> sk5 = sk6 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f570,plain,
( sk5 = sk6
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f663,plain,
! [X0] :
( ~ ssList(X0)
| nil = tl(X0)
| tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
| nil = X0 ),
inference(resolution,[],[f107,f75]) ).
fof(f664,plain,
( sk3 = cons(hd(sk3),tl(sk3))
| nil = sk3 ),
inference(resolution,[],[f107,f202]) ).
fof(f680,definition,
( spl0_17
<=> nil = sk7 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f682,plain,
( nil = sk7
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f684,definition,
( spl0_18
<=> sk7 = cons(hd(sk7),tl(sk7)) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f686,plain,
( sk7 = cons(hd(sk7),tl(sk7))
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f699,definition,
( spl0_21
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f701,plain,
( nil = sk4
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f708,definition,
( spl0_23
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f709,plain,
( nil != sk3
| spl0_23 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f710,plain,
( nil = sk3
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f712,definition,
( spl0_24
<=> sk3 = cons(hd(sk3),tl(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f714,plain,
( sk3 = cons(hd(sk3),tl(sk3))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f715,plain,
( spl0_23
| spl0_24 ),
inference(avatar_split_clause,[],[f664,f712,f708]) ).
fof(f758,plain,
( sk3 = cons(skaf83(sk3),skaf82(sk3))
| nil = sk3 ),
inference(resolution,[],[f112,f202]) ).
fof(f781,definition,
( spl0_28
<=> sk3 = cons(skaf83(sk3),skaf82(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f783,plain,
( sk3 = cons(skaf83(sk3),skaf82(sk3))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f784,plain,
( spl0_23
| spl0_28 ),
inference(avatar_split_clause,[],[f758,f781,f708]) ).
fof(f820,definition,
( spl0_29
<=> ssList(app(app(nil,cons(sk5,nil)),cons(sk5,nil))) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f821,plain,
( ssList(app(app(nil,cons(sk5,nil)),cons(sk5,nil)))
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f822,plain,
( ~ ssList(app(app(nil,cons(sk5,nil)),cons(sk5,nil)))
| spl0_29 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f927,plain,
( ~ segmentP(sk3,sk4)
| ~ ssList(sk3)
| ~ ssList(sk4)
| sk3 = sk4 ),
inference(resolution,[],[f135,f206]) ).
fof(f934,plain,
( ~ segmentP(sk3,sk4)
| ~ ssList(sk4)
| sk3 = sk4 ),
inference(forward_subsumption_resolution,[],[f927,f202]) ).
fof(f935,plain,
( ~ segmentP(sk3,sk4)
| sk3 = sk4 ),
inference(forward_subsumption_resolution,[],[f934,f203]) ).
fof(f937,definition,
( spl0_31
<=> sk3 = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f939,plain,
( sk3 = sk4
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f941,definition,
( spl0_32
<=> segmentP(sk3,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f943,plain,
( ~ segmentP(sk3,sk4)
| spl0_32 ),
inference(avatar_component_clause,[],[f941]) ).
fof(f944,plain,
( spl0_31
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f935,f941,f937]) ).
fof(f1021,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f229,f85]) ).
fof(f1034,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,app(X0,X1))
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| app(X0,X1) = X0 ),
inference(resolution,[],[f1021,f139]) ).
fof(f1052,plain,
( frontsegP(sk3,app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ ssList(sk8) ),
inference(superposition,[],[f1021,f217]) ).
fof(f1059,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,app(X0,X1))
| ~ ssList(app(X0,X1))
| app(X0,X1) = X0 ),
inference(duplicate_literal_removal,[],[f1034]) ).
fof(f1060,plain,
( frontsegP(sk3,app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil))) ),
inference(forward_subsumption_resolution,[],[f1052,f210]) ).
fof(f1061,plain,
! [X0,X1] :
( ~ frontsegP(X0,app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f1059,f85]) ).
fof(f1234,plain,
! [X0] :
( frontsegP(sk3,X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ frontsegP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0) ),
inference(superposition,[],[f148,f217]) ).
fof(f1243,plain,
! [X0] :
( frontsegP(sk3,X0)
| ~ ssList(X0)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ frontsegP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0) ),
inference(forward_subsumption_resolution,[],[f1234,f210]) ).
fof(f1411,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,app(X1,X2))
| ~ ssList(X1)
| ~ ssList(app(X1,X2))
| ~ ssList(X0)
| frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f166,f1021]) ).
fof(f1414,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,app(X1,X2))
| ~ ssList(X1)
| ~ ssList(app(X1,X2))
| ~ ssList(X0)
| frontsegP(X0,X1)
| ~ ssList(X2) ),
inference(duplicate_literal_removal,[],[f1411]) ).
fof(f1419,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X0)
| frontsegP(X0,X1)
| ~ ssList(X2) ),
inference(forward_subsumption_resolution,[],[f1414,f85]) ).
fof(f1454,definition,
( spl0_39
<=> nil = skaf82(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f1456,plain,
( nil = skaf82(sk3)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f1454]) ).
fof(f2099,plain,
( ! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| memberP(X1,X2)
| X0 = X2 )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f174,f291]) ).
fof(f2100,plain,
( ! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| memberP(X1,X2)
| X0 = X2 )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f2099,f291]) ).
fof(f2115,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssList(skaf82(sk3))
| memberP(skaf82(sk3),X0)
| skaf83(sk3) = X0 )
| ~ spl0_10
| ~ spl0_28 ),
inference(superposition,[],[f2100,f783]) ).
fof(f2118,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| memberP(skaf82(sk3),X0)
| skaf83(sk3) = X0 )
| ~ spl0_10
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f2115,f13]) ).
fof(f2122,plain,
( ! [X0] :
( memberP(nil,X0)
| ~ memberP(sk3,X0)
| skaf83(sk3) = X0 )
| ~ spl0_10
| ~ spl0_28
| ~ spl0_39 ),
inference(forward_demodulation,[],[f2118,f1456]) ).
fof(f2126,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| skaf83(sk3) = X0 )
| ~ spl0_10
| ~ spl0_28
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f2122,f302]) ).
fof(f2549,plain,
( segmentP(sk3,cons(sk6,nil))
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil))
| ~ ssList(sk3)
| ~ ssList(sk8) ),
inference(superposition,[],[f232,f217]) ).
fof(f2554,plain,
( segmentP(sk3,cons(sk6,nil))
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil))
| ~ ssList(sk8) ),
inference(forward_subsumption_resolution,[],[f2549,f202]) ).
fof(f2561,plain,
( segmentP(sk3,cons(sk6,nil))
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil)) ),
inference(forward_subsumption_resolution,[],[f2554,f210]) ).
fof(f5652,definition,
( spl0_138
<=> ssList(cons(sk6,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
fof(f5653,plain,
( ssList(cons(sk6,nil))
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f5652]) ).
fof(f5654,plain,
( ~ ssList(cons(sk6,nil))
| spl0_138 ),
inference(avatar_component_clause,[],[f5652]) ).
fof(f5656,definition,
( spl0_139
<=> ssList(app(sk7,cons(sk5,nil))) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
fof(f5657,plain,
( ssList(app(sk7,cons(sk5,nil)))
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f5656]) ).
fof(f5658,plain,
( ~ ssList(app(sk7,cons(sk5,nil)))
| spl0_139 ),
inference(avatar_component_clause,[],[f5656]) ).
fof(f5677,definition,
( spl0_144
<=> ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil))) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
fof(f5679,plain,
( ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| spl0_144 ),
inference(avatar_component_clause,[],[f5677]) ).
fof(f5703,definition,
( spl0_150
<=> frontsegP(sk3,app(app(sk7,cons(sk5,nil)),cons(sk6,nil))) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f5705,plain,
( frontsegP(sk3,app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f5703]) ).
fof(f5706,plain,
( ~ spl0_144
| spl0_150 ),
inference(avatar_split_clause,[],[f1060,f5703,f5677]) ).
fof(f5712,definition,
( spl0_152
<=> ! [X0] :
( frontsegP(sk3,X0)
| ~ frontsegP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
fof(f5713,plain,
( ! [X0] :
( frontsegP(sk3,X0)
| ~ frontsegP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0)
| ~ ssList(X0) )
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f5712]) ).
fof(f5714,plain,
( ~ spl0_144
| spl0_152 ),
inference(avatar_split_clause,[],[f1243,f5712,f5677]) ).
fof(f5725,definition,
( spl0_155
<=> segmentP(sk3,cons(sk6,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
fof(f5727,plain,
( segmentP(sk3,cons(sk6,nil))
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f5725]) ).
fof(f5728,plain,
( ~ spl0_138
| ~ spl0_139
| spl0_155 ),
inference(avatar_split_clause,[],[f2561,f5725,f5656,f5652]) ).
fof(f5729,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl0_1 ),
inference(resolution,[],[f251,f102]) ).
fof(f5730,plain,
( ~ ssList(nil)
| nil = sk4
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f5729,f203]) ).
fof(f5731,plain,
( nil = sk4
| spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f5730,f263]) ).
fof(f5742,plain,
( spl0_21
| spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f5731,f262,f249,f699]) ).
fof(f5749,plain,
( ~ segmentP(sk3,nil)
| ~ spl0_21
| spl0_32 ),
inference(forward_demodulation,[],[f943,f701]) ).
fof(f5758,plain,
( ~ ssList(sk3)
| ~ spl0_21
| spl0_32 ),
inference(resolution,[],[f5749,f56]) ).
fof(f5759,plain,
( $false
| ~ spl0_21
| spl0_32 ),
inference(forward_subsumption_resolution,[],[f5758,f202]) ).
fof(f5760,plain,
( ~ spl0_21
| spl0_32 ),
inference(avatar_contradiction_clause,[],[f5759]) ).
fof(f5761,plain,
( nil = sk3
| ~ spl0_21
| ~ spl0_31 ),
inference(forward_demodulation,[],[f939,f701]) ).
fof(f5780,plain,
( spl0_23
| ~ spl0_21
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f5761,f937,f699,f708]) ).
fof(f5833,plain,
( ~ ssList(nil)
| ~ ssItem(sk6)
| spl0_138 ),
inference(resolution,[],[f86,f5654]) ).
fof(f5843,plain,
( ~ ssItem(sk6)
| ~ spl0_4
| spl0_138 ),
inference(forward_subsumption_resolution,[],[f5833,f263]) ).
fof(f5845,plain,
( $false
| ~ spl0_4
| spl0_138 ),
inference(forward_subsumption_resolution,[],[f5843,f208]) ).
fof(f5846,plain,
( ~ spl0_4
| spl0_138 ),
inference(avatar_contradiction_clause,[],[f5845]) ).
fof(f5878,plain,
( ! [X0] :
( ~ ssItem(X0)
| nil = tl(cons(X0,nil)) )
| ~ spl0_4 ),
inference(resolution,[],[f96,f263]) ).
fof(f5879,plain,
! [X0,X1] :
( ~ ssItem(X0)
| skaf82(X1) = tl(cons(X0,skaf82(X1))) ),
inference(resolution,[],[f96,f13]) ).
fof(f5912,plain,
! [X0] :
( ~ ssItem(X0)
| sk7 = tl(cons(X0,sk7)) ),
inference(resolution,[],[f96,f209]) ).
fof(f5917,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,nil)) = X0 )
| ~ spl0_4 ),
inference(resolution,[],[f97,f263]) ).
fof(f5918,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,skaf82(X1))) = X0 ),
inference(resolution,[],[f97,f13]) ).
fof(f5960,plain,
( ~ ssItem(sk5)
| ~ ssItem(sk6)
| sk5 = sk6 ),
inference(resolution,[],[f105,f213]) ).
fof(f5964,plain,
( ~ ssItem(sk6)
| sk5 = sk6 ),
inference(forward_subsumption_resolution,[],[f5960,f207]) ).
fof(f5965,plain,
sk5 = sk6,
inference(forward_subsumption_resolution,[],[f5964,f208]) ).
fof(f5968,plain,
spl0_12,
inference(avatar_split_clause,[],[f5965,f568]) ).
fof(f5969,plain,
( ssList(cons(sk5,nil))
| ~ spl0_12
| ~ spl0_138 ),
inference(superposition,[],[f5653,f570]) ).
fof(f5993,definition,
( spl0_166
<=> nil = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
fof(f5995,plain,
( nil = cons(sk5,nil)
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f5993]) ).
fof(f6058,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,sk3) = app(cons(X0,nil),sk3) ),
inference(resolution,[],[f126,f202]) ).
fof(f6060,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,sk7) = app(cons(X0,nil),sk7) ),
inference(resolution,[],[f126,f209]) ).
fof(f6149,plain,
! [X0] :
( memberP(sk3,X0)
| ~ ssList(sk8)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ ssItem(X0)
| ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0) ),
inference(superposition,[],[f151,f217]) ).
fof(f6155,plain,
! [X0] :
( memberP(sk3,X0)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ ssItem(X0)
| ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0) ),
inference(forward_subsumption_resolution,[],[f6149,f210]) ).
fof(f6161,definition,
( spl0_171
<=> ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil))) ),
introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).
fof(f6162,plain,
( ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f6161]) ).
fof(f6163,plain,
( ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| spl0_171 ),
inference(avatar_component_clause,[],[f6161]) ).
fof(f6400,plain,
( ~ ssList(sk7)
| ~ ssList(cons(sk5,nil))
| spl0_139 ),
inference(resolution,[],[f5658,f85]) ).
fof(f6401,plain,
( ~ ssList(cons(sk5,nil))
| spl0_139 ),
inference(forward_subsumption_resolution,[],[f6400,f209]) ).
fof(f6402,plain,
( $false
| ~ spl0_12
| ~ spl0_138
| spl0_139 ),
inference(forward_subsumption_resolution,[],[f6401,f5969]) ).
fof(f6403,plain,
( ~ spl0_12
| ~ spl0_138
| spl0_139 ),
inference(avatar_contradiction_clause,[],[f6402]) ).
fof(f6405,plain,
( segmentP(sk3,cons(sk5,nil))
| ~ spl0_12
| ~ spl0_155 ),
inference(forward_demodulation,[],[f5727,f570]) ).
fof(f6407,plain,
( segmentP(nil,cons(sk5,nil))
| ~ spl0_12
| ~ spl0_23
| ~ spl0_155 ),
inference(forward_demodulation,[],[f6405,f710]) ).
fof(f6410,plain,
( ~ ssList(cons(sk5,nil))
| nil = cons(sk5,nil)
| ~ spl0_12
| ~ spl0_23
| ~ spl0_155 ),
inference(resolution,[],[f6407,f80]) ).
fof(f6417,plain,
( nil = cons(sk5,nil)
| ~ spl0_12
| ~ spl0_23
| ~ spl0_138
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f6410,f5969]) ).
fof(f6430,plain,
( spl0_166
| ~ spl0_12
| ~ spl0_23
| ~ spl0_138
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f6417,f5725,f5652,f708,f568,f5993]) ).
fof(f6445,plain,
( singletonP(nil)
| ~ ssList(nil)
| ~ ssItem(sk5)
| ~ spl0_166 ),
inference(superposition,[],[f225,f5995]) ).
fof(f6467,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f6445,f11]) ).
fof(f6476,plain,
( ~ ssItem(sk5)
| ~ spl0_4
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f6467,f263]) ).
fof(f6481,plain,
( $false
| ~ spl0_4
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f6476,f207]) ).
fof(f6482,plain,
( ~ spl0_4
| ~ spl0_166 ),
inference(avatar_contradiction_clause,[],[f6481]) ).
fof(f6564,plain,
( frontsegP(sk3,app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| ~ spl0_12
| ~ spl0_150 ),
inference(forward_demodulation,[],[f5705,f570]) ).
fof(f6565,plain,
( ! [X0] :
( ~ frontsegP(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)),X0)
| frontsegP(sk3,X0)
| ~ ssList(X0) )
| ~ spl0_12
| ~ spl0_152 ),
inference(forward_demodulation,[],[f5713,f570]) ).
fof(f6574,plain,
( ! [X0] :
( ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| memberP(sk3,X0)
| ~ ssItem(X0)
| ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0) )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6155,f570]) ).
fof(f6590,definition,
( spl0_184
<=> sk3 = sk7 ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
fof(f6591,plain,
( sk3 = sk7
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f6590]) ).
fof(f6592,plain,
( sk3 != sk7
| spl0_184 ),
inference(avatar_component_clause,[],[f6590]) ).
fof(f6614,plain,
( ! [X0] :
( ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)),X0)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| memberP(sk3,X0)
| ~ ssItem(X0) )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f6574,f570]) ).
fof(f6624,definition,
( spl0_189
<=> ! [X0] :
( ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)),X0)
| ~ ssItem(X0)
| memberP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).
fof(f6625,plain,
( ! [X0] :
( ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)),X0)
| ~ ssItem(X0)
| memberP(sk3,X0) )
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f6624]) ).
fof(f6626,plain,
( ~ spl0_171
| spl0_189
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f6614,f568,f6624,f6161]) ).
fof(f6631,plain,
( ~ ssList(sk3)
| sk3 = cons(skaf44(sk3),nil)
| ~ spl0_2 ),
inference(resolution,[],[f255,f103]) ).
fof(f6632,plain,
( sk3 = cons(skaf44(sk3),nil)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f6631,f202]) ).
fof(f6685,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X3) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f235,f294]) ).
fof(f6812,definition,
( spl0_201
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).
fof(f6814,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_201 ),
inference(avatar_component_clause,[],[f6812]) ).
fof(f6870,plain,
( ! [X0] :
( frontsegP(cons(skaf44(sk3),X0),sk3)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(skaf44(sk3))
| ~ frontsegP(X0,nil) )
| ~ spl0_2 ),
inference(superposition,[],[f242,f6632]) ).
fof(f6879,plain,
( ! [X0] :
( frontsegP(cons(skaf44(sk3),X0),sk3)
| ~ ssList(X0)
| ~ ssItem(skaf44(sk3))
| ~ frontsegP(X0,nil) )
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f6870,f263]) ).
fof(f6911,plain,
( ! [X0] :
( frontsegP(cons(skaf44(sk3),X0),sk3)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) )
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f6879,f47]) ).
fof(f6932,plain,
( ! [X0] :
( frontsegP(cons(skaf44(sk3),X0),sk3)
| ~ ssList(X0) )
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f6911,f60]) ).
fof(f7128,definition,
( spl0_236
<=> nil = tl(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_236])],[avatar_definition]) ).
fof(f7130,plain,
( nil = tl(sk3)
| ~ spl0_236 ),
inference(avatar_component_clause,[],[f7128]) ).
fof(f7762,plain,
( ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| ~ spl0_12
| spl0_144 ),
inference(forward_demodulation,[],[f5679,f570]) ).
fof(f8167,plain,
( ~ ssList(nil)
| ~ ssList(nil)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_11
| ~ spl0_29 ),
inference(resolution,[],[f821,f6685]) ).
fof(f8182,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| ~ spl0_11
| ~ spl0_29 ),
inference(duplicate_literal_removal,[],[f8167]) ).
fof(f8201,plain,
( ~ ssItem(sk5)
| ~ spl0_4
| ~ spl0_11
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f8182,f263]) ).
fof(f8202,plain,
( $false
| ~ spl0_4
| ~ spl0_11
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f8201,f207]) ).
fof(f8203,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f8202]) ).
fof(f8222,plain,
( ~ ssList(app(nil,cons(sk5,nil)))
| ~ ssList(cons(sk5,nil))
| spl0_29 ),
inference(resolution,[],[f822,f85]) ).
fof(f8223,plain,
( ~ ssList(app(nil,cons(sk5,nil)))
| ~ spl0_12
| spl0_29
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f8222,f5969]) ).
fof(f8259,plain,
( ~ spl0_171
| ~ spl0_12
| spl0_144 ),
inference(avatar_split_clause,[],[f7762,f5677,f568,f6161]) ).
fof(f8390,plain,
( memberP(sk7,hd(sk7))
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ~ spl0_18 ),
inference(superposition,[],[f244,f686]) ).
fof(f8394,definition,
( spl0_313
<=> ssList(tl(sk7)) ),
introduced(definition,[new_symbols(definition,[spl0_313])],[avatar_definition]) ).
fof(f8396,plain,
( ~ ssList(tl(sk7))
| spl0_313 ),
inference(avatar_component_clause,[],[f8394]) ).
fof(f8398,definition,
( spl0_314
<=> ssItem(hd(sk7)) ),
introduced(definition,[new_symbols(definition,[spl0_314])],[avatar_definition]) ).
fof(f8400,plain,
( ~ ssItem(hd(sk7))
| spl0_314 ),
inference(avatar_component_clause,[],[f8398]) ).
fof(f8410,definition,
( spl0_317
<=> memberP(sk7,hd(sk7)) ),
introduced(definition,[new_symbols(definition,[spl0_317])],[avatar_definition]) ).
fof(f8412,plain,
( memberP(sk7,hd(sk7))
| ~ spl0_317 ),
inference(avatar_component_clause,[],[f8410]) ).
fof(f8413,plain,
( ~ spl0_313
| ~ spl0_314
| spl0_317
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f8390,f684,f8410,f8398,f8394]) ).
fof(f9421,plain,
( ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk5,nil))
| spl0_171 ),
inference(resolution,[],[f6163,f85]) ).
fof(f9422,plain,
( ~ ssList(cons(sk5,nil))
| ~ spl0_139
| spl0_171 ),
inference(forward_subsumption_resolution,[],[f9421,f5657]) ).
fof(f9423,plain,
( $false
| ~ spl0_12
| ~ spl0_138
| ~ spl0_139
| spl0_171 ),
inference(forward_subsumption_resolution,[],[f9422,f5969]) ).
fof(f9424,plain,
( ~ spl0_12
| ~ spl0_138
| ~ spl0_139
| spl0_171 ),
inference(avatar_contradiction_clause,[],[f9423]) ).
fof(f9500,plain,
( ! [X0] : sk7 = tl(cons(X0,sk7))
| ~ spl0_10 ),
inference(resolution,[],[f291,f5912]) ).
fof(f9515,plain,
( ~ ssList(sk7)
| nil = sk7
| spl0_313 ),
inference(resolution,[],[f8396,f75]) ).
fof(f9516,plain,
( nil = sk7
| spl0_313 ),
inference(forward_subsumption_resolution,[],[f9515,f209]) ).
fof(f9561,plain,
( $false
| ~ spl0_10
| spl0_314 ),
inference(forward_subsumption_resolution,[],[f8400,f291]) ).
fof(f9562,plain,
( ~ spl0_10
| spl0_314 ),
inference(avatar_contradiction_clause,[],[f9561]) ).
fof(f10081,plain,
( ! [X0] : cons(X0,sk3) = app(cons(X0,nil),sk3)
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f6058,f291]) ).
fof(f10170,plain,
( ! [X0] : cons(X0,sk7) = app(cons(X0,nil),sk7)
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f6060,f291]) ).
fof(f10659,plain,
( frontsegP(sk3,app(sk7,cons(sk5,nil)))
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk5,nil))
| ~ spl0_12
| ~ spl0_152 ),
inference(resolution,[],[f6565,f1021]) ).
fof(f10665,plain,
( frontsegP(sk3,app(sk7,cons(sk5,nil)))
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk5,nil))
| ~ spl0_12
| ~ spl0_152 ),
inference(duplicate_literal_removal,[],[f10659]) ).
fof(f10667,plain,
( frontsegP(sk3,app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk5,nil))
| ~ spl0_12
| ~ spl0_139
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f10665,f5657]) ).
fof(f10669,plain,
( frontsegP(sk3,app(sk7,cons(sk5,nil)))
| ~ spl0_12
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f10667,f5969]) ).
fof(f10670,plain,
( ! [X0] :
( ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)),X0)
| memberP(sk3,X0) )
| ~ spl0_10
| ~ spl0_189 ),
inference(forward_subsumption_resolution,[],[f6625,f291]) ).
fof(f10673,plain,
( memberP(sk3,sk5)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssItem(sk5)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_10
| ~ spl0_189 ),
inference(resolution,[],[f10670,f233]) ).
fof(f10674,plain,
( memberP(sk3,sk5)
| ~ ssItem(sk5)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_10
| ~ spl0_139
| ~ spl0_189 ),
inference(forward_subsumption_resolution,[],[f10673,f5657]) ).
fof(f10677,plain,
( memberP(sk3,sk5)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_10
| ~ spl0_139
| ~ spl0_189 ),
inference(forward_subsumption_resolution,[],[f10674,f207]) ).
fof(f10680,plain,
( memberP(sk3,sk5)
| ~ ssList(nil)
| ~ spl0_10
| ~ spl0_139
| ~ spl0_171
| ~ spl0_189 ),
inference(forward_subsumption_resolution,[],[f10677,f6162]) ).
fof(f10683,plain,
( memberP(sk3,sk5)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_139
| ~ spl0_171
| ~ spl0_189 ),
inference(forward_subsumption_resolution,[],[f10680,f263]) ).
fof(f11257,plain,
( ! [X0] : nil = tl(cons(X0,nil))
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f5878,f291]) ).
fof(f11258,plain,
( nil = tl(sk3)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f11257,f6632]) ).
fof(f11262,plain,
( spl0_236
| ~ spl0_2
| ~ spl0_4
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f11258,f290,f262,f253,f7128]) ).
fof(f11265,plain,
( ! [X0] : hd(cons(X0,nil)) = X0
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f5917,f291]) ).
fof(f11268,plain,
( skaf44(sk3) = hd(sk3)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f11265,f6632]) ).
fof(f11274,plain,
( sk3 = cons(hd(sk3),nil)
| ~ spl0_24
| ~ spl0_236 ),
inference(superposition,[],[f714,f7130]) ).
fof(f11833,plain,
( ! [X0,X1] : hd(cons(X0,skaf82(X1))) = X0
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f5918,f291]) ).
fof(f11834,plain,
( hd(sk3) = skaf83(sk3)
| ~ spl0_10
| ~ spl0_28 ),
inference(superposition,[],[f11833,f783]) ).
fof(f12142,plain,
( ! [X0,X1] : skaf82(X1) = tl(cons(X0,skaf82(X1)))
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f5879,f291]) ).
fof(f12144,plain,
( tl(sk3) = skaf82(sk3)
| ~ spl0_10
| ~ spl0_28 ),
inference(superposition,[],[f12142,f783]) ).
fof(f12149,plain,
( nil = skaf82(sk3)
| ~ spl0_10
| ~ spl0_28
| ~ spl0_236 ),
inference(forward_demodulation,[],[f12144,f7130]) ).
fof(f12154,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| hd(sk3) = X0 )
| ~ spl0_10
| ~ spl0_28
| ~ spl0_39 ),
inference(forward_demodulation,[],[f2126,f11834]) ).
fof(f12159,plain,
( spl0_39
| ~ spl0_10
| ~ spl0_28
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f12149,f7128,f781,f290,f1454]) ).
fof(f12539,plain,
( ~ ssList(nil)
| ~ ssList(cons(sk5,nil))
| ~ spl0_12
| spl0_29
| ~ spl0_138 ),
inference(resolution,[],[f8223,f85]) ).
fof(f12540,plain,
( ~ ssList(cons(sk5,nil))
| ~ spl0_4
| ~ spl0_12
| spl0_29
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f12539,f263]) ).
fof(f12541,plain,
( $false
| ~ spl0_4
| ~ spl0_12
| spl0_29
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f12540,f5969]) ).
fof(f12542,plain,
( ~ spl0_4
| ~ spl0_12
| spl0_29
| ~ spl0_138 ),
inference(avatar_contradiction_clause,[],[f12541]) ).
fof(f13872,definition,
( spl0_588
<=> nil = cons(sk5,sk7) ),
introduced(definition,[new_symbols(definition,[spl0_588])],[avatar_definition]) ).
fof(f20695,definition,
( spl0_657
<=> ssList(app(sk3,sk7)) ),
introduced(definition,[new_symbols(definition,[spl0_657])],[avatar_definition]) ).
fof(f20696,plain,
( ssList(app(sk3,sk7))
| ~ spl0_657 ),
inference(avatar_component_clause,[],[f20695]) ).
fof(f20697,plain,
( ~ ssList(app(sk3,sk7))
| spl0_657 ),
inference(avatar_component_clause,[],[f20695]) ).
fof(f20704,plain,
( ~ ssList(sk3)
| ~ ssList(sk7)
| spl0_657 ),
inference(resolution,[],[f20697,f85]) ).
fof(f20705,plain,
( ~ ssList(sk7)
| spl0_657 ),
inference(forward_subsumption_resolution,[],[f20704,f202]) ).
fof(f20706,plain,
( $false
| spl0_657 ),
inference(forward_subsumption_resolution,[],[f20705,f209]) ).
fof(f20707,plain,
spl0_657,
inference(avatar_contradiction_clause,[],[f20706]) ).
fof(f30014,plain,
( ~ ssList(sk7)
| ~ ssList(sk3)
| frontsegP(sk3,sk7)
| ~ ssList(cons(sk5,nil))
| ~ spl0_12
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152 ),
inference(resolution,[],[f10669,f1419]) ).
fof(f30021,plain,
( ~ ssList(sk3)
| frontsegP(sk3,sk7)
| ~ ssList(cons(sk5,nil))
| ~ spl0_12
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f30014,f209]) ).
fof(f30025,plain,
( frontsegP(sk3,sk7)
| ~ ssList(cons(sk5,nil))
| ~ spl0_12
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f30021,f202]) ).
fof(f30035,plain,
( frontsegP(sk3,sk7)
| ~ spl0_12
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f30025,f5969]) ).
fof(f30038,plain,
( ~ ssList(sk7)
| ~ ssList(sk3)
| sk3 = app(sk7,skaf45(sk3,sk7))
| ~ spl0_12
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152 ),
inference(resolution,[],[f30035,f143]) ).
fof(f30039,plain,
( ~ frontsegP(sk7,sk3)
| ~ ssList(sk7)
| ~ ssList(sk3)
| sk3 = sk7
| ~ spl0_12
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152 ),
inference(resolution,[],[f30035,f139]) ).
fof(f30040,plain,
( ~ frontsegP(sk7,sk3)
| ~ ssList(sk3)
| sk3 = sk7
| ~ spl0_12
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f30039,f209]) ).
fof(f30041,plain,
( ~ ssList(sk3)
| sk3 = app(sk7,skaf45(sk3,sk7))
| ~ spl0_12
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f30038,f209]) ).
fof(f30043,plain,
( ~ frontsegP(sk7,sk3)
| sk3 = sk7
| ~ spl0_12
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f30040,f202]) ).
fof(f30044,plain,
( sk3 = app(sk7,skaf45(sk3,sk7))
| ~ spl0_12
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f30041,f202]) ).
fof(f30046,plain,
( ~ frontsegP(sk7,sk3)
| ~ spl0_12
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152
| spl0_184 ),
inference(forward_subsumption_resolution,[],[f30043,f6592]) ).
fof(f33159,plain,
( nil = tl(app(sk3,sk7))
| tl(app(sk3,sk7)) = cons(hd(tl(app(sk3,sk7))),tl(tl(app(sk3,sk7))))
| nil = app(sk3,sk7)
| ~ spl0_657 ),
inference(resolution,[],[f663,f20696]) ).
fof(f35600,plain,
( sk5 = hd(sk3)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_28
| ~ spl0_39
| ~ spl0_139
| ~ spl0_171
| ~ spl0_189 ),
inference(resolution,[],[f12154,f10683]) ).
fof(f35693,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_24
| ~ spl0_28
| ~ spl0_39
| ~ spl0_139
| ~ spl0_171
| ~ spl0_189
| ~ spl0_236 ),
inference(superposition,[],[f11274,f35600]) ).
fof(f35710,plain,
( spl0_201
| ~ spl0_4
| ~ spl0_10
| ~ spl0_24
| ~ spl0_28
| ~ spl0_39
| ~ spl0_139
| ~ spl0_171
| ~ spl0_189
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f35693,f7128,f6624,f6161,f5656,f1454,f781,f712,f290,f262,f6812]) ).
fof(f35978,plain,
( frontsegP(sk3,app(app(sk7,sk3),sk3))
| ~ spl0_12
| ~ spl0_150
| ~ spl0_201 ),
inference(superposition,[],[f6564,f6814]) ).
fof(f35984,plain,
( frontsegP(sk3,app(sk7,sk3))
| ~ spl0_12
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152
| ~ spl0_201 ),
inference(superposition,[],[f10669,f6814]) ).
fof(f35999,plain,
( app(sk3,sk3) = cons(sk5,sk3)
| ~ spl0_10
| ~ spl0_201 ),
inference(superposition,[],[f10081,f6814]) ).
fof(f36001,plain,
( app(sk3,sk7) = cons(sk5,sk7)
| ~ spl0_10
| ~ spl0_201 ),
inference(superposition,[],[f10170,f6814]) ).
fof(f44916,plain,
( ! [X0] :
( frontsegP(cons(hd(sk3),X0),sk3)
| ~ ssList(X0) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f6932,f11268]) ).
fof(f44917,plain,
( ! [X0] :
( frontsegP(cons(sk5,X0),sk3)
| ~ ssList(X0) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_10
| ~ spl0_28
| ~ spl0_39
| ~ spl0_139
| ~ spl0_171
| ~ spl0_189 ),
inference(forward_demodulation,[],[f44916,f35600]) ).
fof(f45012,plain,
( ~ frontsegP(sk3,cons(sk5,sk3))
| ~ ssList(sk3)
| ~ ssList(sk3)
| sk3 = cons(sk5,sk3)
| ~ spl0_10
| ~ spl0_201 ),
inference(superposition,[],[f1061,f35999]) ).
fof(f45037,plain,
( ~ frontsegP(sk3,cons(sk5,sk3))
| ~ ssList(sk3)
| sk3 = cons(sk5,sk3)
| ~ spl0_10
| ~ spl0_201 ),
inference(duplicate_literal_removal,[],[f45012]) ).
fof(f45067,plain,
( ~ frontsegP(sk3,cons(sk5,sk3))
| sk3 = cons(sk5,sk3)
| ~ spl0_10
| ~ spl0_201 ),
inference(forward_subsumption_resolution,[],[f45037,f202]) ).
fof(f45086,definition,
( spl0_1026
<=> sk3 = cons(sk5,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1026])],[avatar_definition]) ).
fof(f45088,plain,
( sk3 = cons(sk5,sk3)
| ~ spl0_1026 ),
inference(avatar_component_clause,[],[f45086]) ).
fof(f45090,definition,
( spl0_1027
<=> frontsegP(sk3,cons(sk5,sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_1027])],[avatar_definition]) ).
fof(f45093,plain,
( spl0_1026
| ~ spl0_1027
| ~ spl0_10
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f45067,f6812,f290,f45090,f45086]) ).
fof(f45412,plain,
( nil != cons(sk5,sk7)
| ~ ssList(sk7)
| ~ ssList(sk3)
| nil = sk3
| ~ spl0_10
| ~ spl0_201 ),
inference(superposition,[],[f122,f36001]) ).
fof(f46752,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssList(skaf45(sk3,sk7))
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) )
| ~ spl0_12
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152 ),
inference(superposition,[],[f151,f30044]) ).
fof(f46799,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) )
| ~ spl0_12
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f46752,f51]) ).
fof(f46824,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) )
| ~ spl0_12
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f46799,f209]) ).
fof(f46838,plain,
( ! [X0] :
( ~ memberP(sk7,X0)
| memberP(sk3,X0) )
| ~ spl0_10
| ~ spl0_12
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f46824,f291]) ).
fof(f46872,plain,
( memberP(sk3,hd(sk7))
| ~ spl0_10
| ~ spl0_12
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152
| ~ spl0_317 ),
inference(resolution,[],[f46838,f8412]) ).
fof(f46880,plain,
( hd(sk3) = hd(sk7)
| ~ spl0_10
| ~ spl0_12
| ~ spl0_28
| ~ spl0_39
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152
| ~ spl0_317 ),
inference(resolution,[],[f46872,f12154]) ).
fof(f46889,plain,
( sk5 = hd(sk7)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12
| ~ spl0_28
| ~ spl0_39
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152
| ~ spl0_171
| ~ spl0_189
| ~ spl0_317 ),
inference(forward_demodulation,[],[f46880,f35600]) ).
fof(f46905,plain,
( sk7 = cons(sk5,tl(sk7))
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12
| ~ spl0_18
| ~ spl0_28
| ~ spl0_39
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152
| ~ spl0_171
| ~ spl0_189
| ~ spl0_317 ),
inference(superposition,[],[f686,f46889]) ).
fof(f46949,plain,
( frontsegP(sk7,sk3)
| ~ ssList(tl(sk7))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12
| ~ spl0_18
| ~ spl0_28
| ~ spl0_39
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152
| ~ spl0_171
| ~ spl0_189
| ~ spl0_317 ),
inference(superposition,[],[f44917,f46905]) ).
fof(f47047,plain,
( ~ ssList(tl(sk7))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12
| ~ spl0_18
| ~ spl0_28
| ~ spl0_39
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152
| ~ spl0_171
| spl0_184
| ~ spl0_189
| ~ spl0_317 ),
inference(forward_subsumption_resolution,[],[f46949,f30046]) ).
fof(f47546,plain,
( frontsegP(sk3,app(sk3,sk3))
| ~ spl0_12
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152
| ~ spl0_184
| ~ spl0_201 ),
inference(superposition,[],[f35984,f6591]) ).
fof(f47722,plain,
( frontsegP(sk3,cons(sk5,sk3))
| ~ spl0_10
| ~ spl0_12
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152
| ~ spl0_184
| ~ spl0_201 ),
inference(forward_demodulation,[],[f47546,f35999]) ).
fof(f47991,plain,
( spl0_1027
| ~ spl0_10
| ~ spl0_12
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152
| ~ spl0_184
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f47722,f6812,f6590,f5712,f5656,f5652,f568,f290,f45090]) ).
fof(f48217,plain,
( sk3 != sk3
| ~ ssItem(sk5)
| ~ ssList(sk3)
| ~ spl0_1026 ),
inference(superposition,[],[f100,f45088]) ).
fof(f48269,plain,
( ~ ssItem(sk5)
| ~ ssList(sk3)
| ~ spl0_1026 ),
inference(trivial_inequality_removal,[],[f48217]) ).
fof(f48313,plain,
( ~ ssList(sk3)
| ~ spl0_1026 ),
inference(forward_subsumption_resolution,[],[f48269,f207]) ).
fof(f48342,plain,
( $false
| ~ spl0_1026 ),
inference(forward_subsumption_resolution,[],[f48313,f202]) ).
fof(f48343,plain,
~ spl0_1026,
inference(avatar_contradiction_clause,[],[f48342]) ).
fof(f48390,plain,
( spl0_17
| spl0_313 ),
inference(avatar_split_clause,[],[f9516,f8394,f680]) ).
fof(f48752,plain,
( nil = tl(cons(sk5,sk7))
| tl(app(sk3,sk7)) = cons(hd(tl(app(sk3,sk7))),tl(tl(app(sk3,sk7))))
| nil = app(sk3,sk7)
| ~ spl0_10
| ~ spl0_201
| ~ spl0_657 ),
inference(forward_demodulation,[],[f33159,f36001]) ).
fof(f48842,plain,
( nil != cons(sk5,sk7)
| ~ ssList(sk3)
| nil = sk3
| ~ spl0_10
| ~ spl0_201 ),
inference(forward_subsumption_resolution,[],[f45412,f209]) ).
fof(f49363,plain,
( nil = sk7
| tl(app(sk3,sk7)) = cons(hd(tl(app(sk3,sk7))),tl(tl(app(sk3,sk7))))
| nil = app(sk3,sk7)
| ~ spl0_10
| ~ spl0_201
| ~ spl0_657 ),
inference(forward_demodulation,[],[f48752,f9500]) ).
fof(f49401,plain,
( nil != cons(sk5,sk7)
| nil = sk3
| ~ spl0_10
| ~ spl0_201 ),
inference(forward_subsumption_resolution,[],[f48842,f202]) ).
fof(f49551,plain,
( tl(cons(sk5,sk7)) = cons(hd(tl(cons(sk5,sk7))),tl(tl(cons(sk5,sk7))))
| nil = sk7
| nil = app(sk3,sk7)
| ~ spl0_10
| ~ spl0_201
| ~ spl0_657 ),
inference(forward_demodulation,[],[f49363,f36001]) ).
fof(f49582,plain,
( nil != cons(sk5,sk7)
| ~ spl0_10
| spl0_23
| ~ spl0_201 ),
inference(forward_subsumption_resolution,[],[f49401,f709]) ).
fof(f49676,plain,
( sk7 = cons(hd(sk7),tl(sk7))
| nil = sk7
| nil = app(sk3,sk7)
| ~ spl0_10
| ~ spl0_201
| ~ spl0_657 ),
inference(forward_demodulation,[],[f49551,f9500]) ).
fof(f49689,plain,
( ~ spl0_588
| ~ spl0_10
| spl0_23
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f49582,f6812,f708,f290,f13872]) ).
fof(f49718,plain,
( nil = cons(sk5,sk7)
| sk7 = cons(hd(sk7),tl(sk7))
| nil = sk7
| ~ spl0_10
| ~ spl0_201
| ~ spl0_657 ),
inference(forward_demodulation,[],[f49676,f36001]) ).
fof(f49739,plain,
( spl0_17
| spl0_18
| spl0_588
| ~ spl0_10
| ~ spl0_201
| ~ spl0_657 ),
inference(avatar_split_clause,[],[f49718,f20695,f6812,f290,f13872,f684,f680]) ).
fof(f50398,plain,
( ~ spl0_313
| ~ spl0_2
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12
| ~ spl0_18
| ~ spl0_28
| ~ spl0_39
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152
| ~ spl0_171
| spl0_184
| ~ spl0_189
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f47047,f8410,f6624,f6590,f6161,f5712,f5656,f5652,f1454,f781,f684,f568,f290,f262,f253,f8394]) ).
fof(f50844,plain,
( frontsegP(sk3,app(app(nil,sk3),sk3))
| ~ spl0_12
| ~ spl0_17
| ~ spl0_150
| ~ spl0_201 ),
inference(superposition,[],[f35978,f682]) ).
fof(f50858,plain,
( frontsegP(sk3,app(sk3,sk3))
| ~ spl0_12
| ~ spl0_17
| ~ spl0_150
| ~ spl0_201 ),
inference(forward_demodulation,[],[f50844,f371]) ).
fof(f50877,plain,
( frontsegP(sk3,cons(sk5,sk3))
| ~ spl0_10
| ~ spl0_12
| ~ spl0_17
| ~ spl0_150
| ~ spl0_201 ),
inference(forward_demodulation,[],[f50858,f35999]) ).
fof(f50885,plain,
( spl0_1027
| ~ spl0_10
| ~ spl0_12
| ~ spl0_17
| ~ spl0_150
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f50877,f6812,f5703,f680,f568,f290,f45090]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f256]) ).
cnf(s8,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f295]) ).
cnf(s11,plain,
spl0_4,
inference(sat_conversion,[],[f298]) ).
cnf(s17,plain,
( spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f715]) ).
cnf(s22,plain,
( spl0_23
| spl0_28 ),
inference(sat_conversion,[],[f784]) ).
cnf(s27,plain,
( spl0_31
| ~ spl0_32 ),
inference(sat_conversion,[],[f944]) ).
cnf(s247,plain,
( ~ spl0_144
| spl0_150 ),
inference(sat_conversion,[],[f5706]) ).
cnf(s249,plain,
( ~ spl0_144
| spl0_152 ),
inference(sat_conversion,[],[f5714]) ).
cnf(s253,plain,
( ~ spl0_138
| ~ spl0_139
| spl0_155 ),
inference(sat_conversion,[],[f5728]) ).
cnf(s258,plain,
( spl0_1
| ~ spl0_4
| spl0_21 ),
inference(sat_conversion,[],[f5742]) ).
cnf(s260,plain,
( ~ spl0_21
| spl0_32 ),
inference(sat_conversion,[],[f5760]) ).
cnf(s265,plain,
( ~ spl0_21
| spl0_23
| ~ spl0_31 ),
inference(sat_conversion,[],[f5780]) ).
cnf(s273,plain,
( ~ spl0_4
| spl0_138 ),
inference(sat_conversion,[],[f5846]) ).
cnf(s279,plain,
spl0_12,
inference(sat_conversion,[],[f5968]) ).
cnf(s289,plain,
( ~ spl0_12
| ~ spl0_138
| spl0_139 ),
inference(sat_conversion,[],[f6403]) ).
cnf(s292,plain,
( ~ spl0_12
| ~ spl0_23
| ~ spl0_138
| ~ spl0_155
| spl0_166 ),
inference(sat_conversion,[],[f6430]) ).
cnf(s300,plain,
( ~ spl0_4
| ~ spl0_166 ),
inference(sat_conversion,[],[f6482]) ).
cnf(s340,plain,
( ~ spl0_12
| ~ spl0_171
| spl0_189 ),
inference(sat_conversion,[],[f6626]) ).
cnf(s517,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_29 ),
inference(sat_conversion,[],[f8203]) ).
cnf(s530,plain,
( ~ spl0_12
| spl0_144
| ~ spl0_171 ),
inference(sat_conversion,[],[f8259]) ).
cnf(s570,plain,
( ~ spl0_18
| ~ spl0_313
| ~ spl0_314
| spl0_317 ),
inference(sat_conversion,[],[f8413]) ).
cnf(s651,plain,
( ~ spl0_12
| ~ spl0_138
| ~ spl0_139
| spl0_171 ),
inference(sat_conversion,[],[f9424]) ).
cnf(s668,plain,
( ~ spl0_10
| spl0_314 ),
inference(sat_conversion,[],[f9562]) ).
cnf(s732,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_10
| spl0_236 ),
inference(sat_conversion,[],[f11262]) ).
cnf(s759,plain,
( ~ spl0_10
| ~ spl0_28
| spl0_39
| ~ spl0_236 ),
inference(sat_conversion,[],[f12159]) ).
cnf(s787,plain,
( ~ spl0_4
| ~ spl0_12
| spl0_29
| ~ spl0_138 ),
inference(sat_conversion,[],[f12542]) ).
cnf(s911,plain,
spl0_657,
inference(sat_conversion,[],[f20707]) ).
cnf(s1184,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_24
| ~ spl0_28
| ~ spl0_39
| ~ spl0_139
| ~ spl0_171
| ~ spl0_189
| spl0_201
| ~ spl0_236 ),
inference(sat_conversion,[],[f35710]) ).
cnf(s1253,plain,
( ~ spl0_10
| ~ spl0_201
| spl0_1026
| ~ spl0_1027 ),
inference(sat_conversion,[],[f45093]) ).
cnf(s1388,plain,
( ~ spl0_10
| ~ spl0_12
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152
| ~ spl0_184
| ~ spl0_201
| spl0_1027 ),
inference(sat_conversion,[],[f47991]) ).
cnf(s1406,plain,
~ spl0_1026,
inference(sat_conversion,[],[f48343]) ).
cnf(s1413,plain,
( spl0_17
| spl0_313 ),
inference(sat_conversion,[],[f48390]) ).
cnf(s1725,plain,
( ~ spl0_10
| spl0_23
| ~ spl0_201
| ~ spl0_588 ),
inference(sat_conversion,[],[f49689]) ).
cnf(s1737,plain,
( ~ spl0_10
| spl0_17
| spl0_18
| ~ spl0_201
| spl0_588
| ~ spl0_657 ),
inference(sat_conversion,[],[f49739]) ).
cnf(s1892,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12
| ~ spl0_18
| ~ spl0_28
| ~ spl0_39
| ~ spl0_138
| ~ spl0_139
| ~ spl0_152
| ~ spl0_171
| spl0_184
| ~ spl0_189
| ~ spl0_313
| ~ spl0_317 ),
inference(sat_conversion,[],[f50398]) ).
cnf(s2028,plain,
( ~ spl0_10
| ~ spl0_12
| ~ spl0_17
| ~ spl0_150
| ~ spl0_201
| spl0_1027 ),
inference(sat_conversion,[],[f50885]) ).
cnf(s2039,plain,
( ~ spl0_10
| ~ spl0_201
| ~ spl0_1027 ),
inference(rat,[],[s1253,s1406]) ).
cnf(s2152,plain,
~ spl0_166,
inference(rat,[],[s300,s11]) ).
cnf(s2153,plain,
spl0_138,
inference(rat,[],[s273,s11]) ).
cnf(s2156,plain,
spl0_139,
inference(rat,[],[s289,s279,s2153]) ).
cnf(s2161,plain,
spl0_29,
inference(rat,[],[s787,s11,s279,s2153]) ).
cnf(s2166,plain,
spl0_171,
inference(rat,[],[s651,s2153,s279,s2156]) ).
cnf(s2167,plain,
spl0_155,
inference(rat,[],[s253,s2153,s2156]) ).
cnf(s2169,plain,
~ spl0_11,
inference(rat,[],[s517,s11,s2161]) ).
cnf(s2171,plain,
spl0_189,
inference(rat,[],[s340,s279,s2166]) ).
cnf(s2173,plain,
spl0_144,
inference(rat,[],[s530,s279,s2166]) ).
cnf(s2174,plain,
~ spl0_23,
inference(rat,[],[s292,s2152,s2153,s279,s2167]) ).
cnf(s2177,plain,
spl0_152,
inference(rat,[],[s249,s2173]) ).
cnf(s2179,plain,
spl0_150,
inference(rat,[],[s247,s2173]) ).
cnf(s2190,plain,
spl0_28,
inference(rat,[],[s22,s2174]) ).
cnf(s2191,plain,
spl0_24,
inference(rat,[],[s17,s2174]) ).
cnf(s2228,plain,
spl0_10,
inference(rat,[],[s8,s2169]) ).
cnf(s2240,plain,
spl0_314,
inference(rat,[],[s668,s2228]) ).
cnf(s2251,plain,
~ spl0_21,
inference(rat,[],[s27,s260,s265,s2174]) ).
cnf(s2257,plain,
spl0_1,
inference(rat,[],[s258,s11,s2251]) ).
cnf(s2285,plain,
spl0_2,
inference(rat,[],[s1,s2257]) ).
cnf(s2286,plain,
spl0_236,
inference(rat,[],[s732,s2228,s11,s2285]) ).
cnf(s2289,plain,
spl0_39,
inference(rat,[],[s759,s2228,s2190,s2286]) ).
cnf(s2292,plain,
spl0_201,
inference(rat,[],[s1184,s2286,s2228,s2171,s2166,s2156,s2191,s2190,s11,s2289]) ).
cnf(s2303,plain,
~ spl0_1027,
inference(rat,[],[s2039,s2228,s2292]) ).
cnf(s2319,plain,
~ spl0_588,
inference(rat,[],[s1725,s2228,s2174,s2292]) ).
cnf(s2327,plain,
~ spl0_17,
inference(rat,[],[s2028,s2303,s2228,s2179,s279,s2292]) ).
cnf(s2335,plain,
~ spl0_184,
inference(rat,[],[s1388,s2303,s2228,s2177,s2153,s2156,s279,s2292]) ).
cnf(s2341,plain,
spl0_18,
inference(rat,[],[s1737,s911,s2319,s2327,s2228,s2292]) ).
cnf(s2391,plain,
spl0_313,
inference(rat,[],[s1413,s2327]) ).
cnf(s2393,plain,
~ spl0_317,
inference(rat,[],[s1892,s2341,s2391,s2171,s2289,s2166,s2177,s2156,s2153,s2285,s2190,s2228,s279,s11,s2335]) ).
cnf(s2421,plain,
$false,
inference(rat,[],[s570,s2341,s2240,s2393,s2391]) ).
fof(f50893,plain,
$false,
inference(avatar_sat_refutation,[],[s2421]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC170-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n010.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 08:16:02 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.21/2.39 % (1765783)Will run a generic schedule for satisfiability detection.
% 13.21/2.39 % (1765791)dis+10_1_sil=32000:sp=arity:random_seed=1080665660:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.21/2.39 % (1765789)% WARNING: option uhcvi not known.
% 13.21/2.39 % (1765789)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=418902994:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.21/2.39 % (1765788)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1515625975_2999 on theBenchmark for (2999ds/0Mi)
% 13.21/2.39 % (1765790)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2696072904:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.21/2.39 % (1765792)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3332736539:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.21/2.39 % (1765794)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2867246143:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.21/2.39 % (1765793)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=483395537:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.21/2.39 % TRYING [1]
% 13.21/2.39 % TRYING [2]
% 13.21/2.39 % TRYING [3]
% 13.21/2.39 % (1765791)Instruction limit reached!
% 13.21/2.39 % (1765791)------------------------------
% 13.21/2.39 % (1765791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.21/2.39 % (1765791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.21/2.39 % (1765791)CaDiCaL version: 2.1.3
% 13.21/2.39 % (1765791)Termination reason: Instruction limit
% 13.21/2.39 % (1765791)Termination phase: Saturation
% 13.21/2.39 % (1765791)Time elapsed: 0.034 s
% 13.21/2.39 % (1765791)Peak memory usage: 13 MB
% 13.21/2.39 % (1765791)Instructions burned: 105 (million)
% 13.21/2.39 % TRYING [4]
% 13.21/2.39 % (1765802)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=696552590:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.21/2.39 % TRYING [1]
% 13.21/2.39 % TRYING [2]
% 13.21/2.39 % (1765792)Instruction limit reached!
% 13.21/2.39 % (1765792)------------------------------
% 13.21/2.39 % (1765792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.21/2.39 % (1765792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.21/2.39 % (1765792)CaDiCaL version: 2.1.3
% 13.21/2.39 % (1765792)Termination reason: Instruction limit
% 13.21/2.39 % (1765792)Termination phase: Saturation
% 13.21/2.39 % (1765792)Time elapsed: 0.057 s
% 13.21/2.39 % (1765792)Peak memory usage: 13 MB
% 13.21/2.39 % (1765792)Instructions burned: 117 (million)
% 13.21/2.39 % TRYING [3]
% 13.21/2.39 % (1765793)Instruction limit reached!
% 13.21/2.39 % (1765793)------------------------------
% 13.21/2.39 % (1765793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.21/2.39 % (1765793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.21/2.39 % (1765793)CaDiCaL version: 2.1.3
% 13.21/2.39 % (1765793)Termination reason: Instruction limit
% 13.21/2.39 % (1765793)Termination phase: Saturation
% 13.21/2.39 % (1765793)Time elapsed: 0.068 s
% 13.21/2.39 % (1765793)Peak memory usage: 14 MB
% 13.21/2.39 % (1765793)Instructions burned: 136 (million)
% 13.21/2.39 % TRYING [4]
% 13.21/2.39 % (1765804)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2945968440:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 13.21/2.39 % (1765805)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=2198760790:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.21/2.39 % (1765794)Instruction limit reached!
% 13.21/2.39 % (1765794)------------------------------
% 13.21/2.39 % (1765794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.21/2.39 % (1765794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.21/2.39 % (1765794)CaDiCaL version: 2.1.3
% 13.21/2.39 % (1765794)Termination reason: Instruction limit
% 13.21/2.39 % (1765794)Termination phase: Saturation
% 13.21/2.39 % (1765794)Time elapsed: 0.090 s
% 13.21/2.39 % (1765794)Peak memory usage: 14 MB
% 13.21/2.39 % (1765794)Instructions burned: 159 (million)
% 13.21/2.39 % TRYING [5]
% 13.21/2.39 % (1765808)ott-21_1_sil=16000:fs=off:random_seed=3637586518:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.21/2.39 % TRYING [5]
% 13.21/2.39 % (1765804)Instruction limit reached!
% 13.21/2.39 % (1765804)------------------------------
% 13.21/2.39 % (1765804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.32/5.83 % (1765804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.32/5.83 % (1765804)CaDiCaL version: 2.1.3
% 37.32/5.83 % (1765804)Termination reason: Instruction limit
% 37.32/5.83 % (1765804)Termination phase: Saturation
% 37.32/5.83 % (1765804)Time elapsed: 0.070 s
% 37.32/5.83 % (1765804)Peak memory usage: 14 MB
% 37.32/5.83 % (1765804)Instructions burned: 131 (million)
% 37.32/5.83 % (1765810)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1121119447:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 37.32/5.83 % (1765808)Instruction limit reached!
% 37.32/5.83 % (1765808)------------------------------
% 37.32/5.83 % (1765808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.32/5.83 % (1765808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.32/5.83 % (1765808)CaDiCaL version: 2.1.3
% 37.32/5.83 % (1765808)Termination reason: Instruction limit
% 37.32/5.83 % (1765808)Termination phase: Saturation
% 37.32/5.83 % (1765808)Time elapsed: 0.088 s
% 37.32/5.83 % (1765808)Peak memory usage: 13 MB
% 37.32/5.83 % (1765808)Instructions burned: 180 (million)
% 37.32/5.83 % TRYING [6]
% 37.32/5.83 % (1765802)Instruction limit reached!
% 37.32/5.83 % (1765802)------------------------------
% 37.32/5.83 % (1765802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.32/5.83 % (1765802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.32/5.83 % (1765802)CaDiCaL version: 2.1.3
% 37.32/5.83 % (1765802)Termination reason: Instruction limit
% 37.32/5.83 % (1765802)Termination phase: Finite model building constraint generation
% 37.32/5.83 % (1765802)Time elapsed: 0.160 s
% 37.32/5.83 % (1765802)Peak memory usage: 34 MB
% 37.32/5.83 % (1765802)Instructions burned: 717 (million)
% 37.32/5.83 % (1765813)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1303222288:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 37.32/5.83 % (1765812)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=783521291:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 37.32/5.83 % TRYING [1]
% 37.32/5.83 % TRYING [2]
% 37.32/5.83 % TRYING [3]
% 37.32/5.83 % TRYING [6]
% 37.32/5.83 % TRYING [4]
% 37.32/5.83 % TRYING [5]
% 37.32/5.83 % (1765810)Instruction limit reached!
% 37.32/5.83 % (1765810)------------------------------
% 37.32/5.83 % (1765810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.32/5.83 % (1765810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.32/5.83 % (1765810)CaDiCaL version: 2.1.3
% 37.32/5.83 % (1765810)Termination reason: Instruction limit
% 37.32/5.83 % (1765810)Termination phase: Saturation
% 37.32/5.83 % (1765810)Time elapsed: 0.293 s
% 37.32/5.83 % (1765810)Peak memory usage: 14 MB
% 37.32/5.83 % (1765810)Instructions burned: 478 (million)
% 37.32/5.83 % (1765805)Instruction limit reached!
% 37.32/5.83 % (1765805)------------------------------
% 37.32/5.83 % (1765805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.32/5.83 % (1765805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.32/5.83 % (1765805)CaDiCaL version: 2.1.3
% 37.32/5.83 % (1765805)Termination reason: Instruction limit
% 37.32/5.83 % (1765805)Termination phase: Saturation
% 37.32/5.83 % (1765805)Time elapsed: 0.383 s
% 37.32/5.83 % (1765805)Peak memory usage: 21 MB
% 37.32/5.83 % (1765805)Instructions burned: 685 (million)
% 37.32/5.83 % (1765816)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3931155485:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 37.32/5.83 % (1765817)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=2086321465:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 37.32/5.83 % (1765812)Instruction limit reached!
% 37.32/5.83 % (1765812)------------------------------
% 37.32/5.83 % (1765812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.32/5.83 % (1765812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.32/5.83 % (1765812)CaDiCaL version: 2.1.3
% 37.32/5.83 % (1765812)Termination reason: Instruction limit
% 37.32/5.83 % (1765812)Termination phase: Finite model building SAT solving
% 37.32/5.83 % (1765812)Time elapsed: 0.332 s
% 37.32/5.83 % (1765812)Peak memory usage: 22 MB
% 37.32/5.83 % (1765812)Instructions burned: 867 (million)
% 37.32/5.83 % (1765813)Instruction limit reached!
% 37.32/5.83 % (1765813)------------------------------
% 37.32/5.83 % (1765813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.32/5.83 % (1765813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.00/6.59 % (1765813)CaDiCaL version: 2.1.3
% 43.00/6.59 % (1765813)Termination reason: Instruction limit
% 43.00/6.59 % (1765813)Termination phase: Saturation
% 43.00/6.59 % (1765813)Time elapsed: 0.353 s
% 43.00/6.59 % (1765813)Peak memory usage: 29 MB
% 43.00/6.59 % (1765813)Instructions burned: 1181 (million)
% 43.00/6.59 % (1765820)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3082283978:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 43.00/6.59 % TRYING [14]
% 43.00/6.59 % (1765822)fmb+10_1_sil=64000:random_seed=2537786804:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 43.00/6.59 % TRYING [1]
% 43.00/6.59 % TRYING [2]
% 43.00/6.59 % TRYING [3]
% 43.00/6.59 % TRYING [4]
% 43.00/6.59 % TRYING [5]
% 43.00/6.59 % TRYING [7]
% 43.00/6.59 % (1765816)Instruction limit reached!
% 43.00/6.59 % (1765816)------------------------------
% 43.00/6.59 % (1765816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.00/6.59 % (1765816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.00/6.59 % (1765816)CaDiCaL version: 2.1.3
% 43.00/6.59 % (1765816)Termination reason: Instruction limit
% 43.00/6.59 % (1765816)Termination phase: Finite model building constraint generation
% 43.00/6.59 % (1765816)Time elapsed: 0.322 s
% 43.00/6.59 % (1765816)Peak memory usage: 72 MB
% 43.00/6.59 % (1765816)Instructions burned: 890 (million)
% 43.00/6.59 % (1765824)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3657942391:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 43.00/6.59 % TRYING [20]
% 43.00/6.59 % (1765817)Instruction limit reached!
% 43.00/6.59 % (1765817)------------------------------
% 43.00/6.59 % (1765817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.00/6.59 % (1765817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.00/6.59 % (1765817)CaDiCaL version: 2.1.3
% 43.00/6.59 % (1765817)Termination reason: Instruction limit
% 43.00/6.59 % (1765817)Termination phase: Saturation
% 43.00/6.59 % (1765817)Time elapsed: 0.376 s
% 43.00/6.59 % (1765817)Peak memory usage: 21 MB
% 43.00/6.59 % (1765817)Instructions burned: 692 (million)
% 43.00/6.59 % (1765826)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3431187049:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 43.00/6.59 % TRYING [8]
% 43.00/6.59 % TRYING [6]
% 43.00/6.59 % (1765820)Instruction limit reached!
% 43.00/6.59 % (1765820)------------------------------
% 43.00/6.59 % (1765820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.00/6.59 % (1765820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.00/6.59 % (1765820)CaDiCaL version: 2.1.3
% 43.00/6.59 % (1765820)Termination reason: Instruction limit
% 43.00/6.59 % (1765820)Termination phase: Saturation
% 43.00/6.59 % (1765820)Time elapsed: 0.482 s
% 43.00/6.59 % (1765820)Peak memory usage: 20 MB
% 43.00/6.59 % (1765820)Instructions burned: 879 (million)
% 43.00/6.59 % (1765828)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1270540194:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 43.00/6.59 % (1765826)Instruction limit reached!
% 43.00/6.59 % (1765826)------------------------------
% 43.00/6.59 % (1765826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.00/6.59 % (1765826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.00/6.59 % (1765826)CaDiCaL version: 2.1.3
% 43.00/6.59 % (1765826)Termination reason: Instruction limit
% 43.00/6.59 % (1765826)Termination phase: Finite model building constraint generation
% 43.00/6.59 % (1765826)Time elapsed: 0.332 s
% 43.00/6.59 % (1765826)Peak memory usage: 79 MB
% 43.00/6.59 % (1765826)Instructions burned: 921 (million)
% 43.00/6.59 % (1765830)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3476154467:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 43.00/6.59 % TRYING [7]
% 43.00/6.59 % TRYING [8]
% 43.00/6.59 % (1765830)Instruction limit reached!
% 43.00/6.59 % (1765830)------------------------------
% 43.00/6.59 % (1765830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.00/6.59 % (1765830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.00/6.59 % (1765830)CaDiCaL version: 2.1.3
% 43.00/6.59 % (1765830)Termination reason: Instruction limit
% 43.00/6.59 % (1765830)Termination phase: Saturation
% 43.00/6.59 % (1765830)Time elapsed: 0.650 s
% 43.00/6.59 % (1765830)Peak memory usage: 15 MB
% 43.00/6.59 % (1765830)Instructions burned: 1472 (million)
% 43.00/6.59 % (1765832)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1046973797:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 43.00/6.59 % TRYING [77]
% 43.00/6.59 % TRYING [8]
% 43.00/6.59 % (1765828)Instruction limit reached!
% 43.00/6.59 % (1765828)------------------------------
% 43.00/6.59 % (1765828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.00/6.59 % (1765828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.00/6.59 % (1765828)CaDiCaL version: 2.1.3
% 43.00/6.59 % (1765828)Termination reason: Instruction limit
% 43.00/6.59 % (1765828)Termination phase: Saturation
% 43.00/6.59 % (1765828)Time elapsed: 2.601 s
% 43.00/6.59 % (1765828)Peak memory usage: 54 MB
% 43.00/6.59 % (1765828)Instructions burned: 5132 (million)
% 43.00/6.59 % (1765834)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=4043527798:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 43.00/6.59 % TRYING [16]
% 43.00/6.59 % TRYING [9]
% 43.00/6.59 % (1765824)Instruction limit reached!
% 43.00/6.59 % (1765824)------------------------------
% 43.00/6.59 % (1765824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.00/6.59 % (1765824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.00/6.59 % (1765824)CaDiCaL version: 2.1.3
% 43.00/6.59 % (1765824)Termination reason: Instruction limit
% 43.00/6.59 % (1765824)Termination phase: Finite model building constraint generation
% 43.00/6.59 % (1765824)Time elapsed: 3.255 s
% 43.00/6.59 % (1765824)Peak memory usage: 588 MB
% 43.00/6.59 % (1765824)Instructions burned: 9517 (million)
% 43.00/6.59 % (1765836)ott-2_1_sil=16000:newcnf=on:random_seed=2150085612:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2958 on theBenchmark for (2958ds/869Mi)
% 43.00/6.59 % (1765832)Instruction limit reached!
% 43.00/6.59 % (1765832)------------------------------
% 43.00/6.59 % (1765832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.00/6.59 % (1765832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.00/6.59 % (1765832)CaDiCaL version: 2.1.3
% 43.00/6.59 % (1765832)Termination reason: Instruction limit
% 43.00/6.59 % (1765832)Termination phase: Finite model building constraint generation
% 43.00/6.59 % (1765832)Time elapsed: 2.260 s
% 43.00/6.59 % (1765832)Peak memory usage: 423 MB
% 43.00/6.59 % (1765832)Instructions burned: 6325 (million)
% 43.00/6.59 % (1765838)ott+10_1_sil=32000:tgt=ground:random_seed=1600299789:i=5114:av=off_2957 on theBenchmark for (2957ds/5114Mi)
% 43.00/6.59 % (1765834)Instruction limit reached!
% 43.00/6.59 % (1765834)------------------------------
% 43.00/6.59 % (1765834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.00/6.59 % (1765834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.00/6.59 % (1765834)CaDiCaL version: 2.1.3
% 43.00/6.59 % (1765834)Termination reason: Instruction limit
% 43.00/6.59 % (1765834)Termination phase: Finite model building constraint generation
% 43.00/6.59 % (1765834)Time elapsed: 0.754 s
% 43.00/6.59 % (1765834)Peak memory usage: 138 MB
% 43.00/6.59 % (1765834)Instructions burned: 2175 (million)
% 43.00/6.59 % (1765840)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3786292526:i=54282_2954 on theBenchmark for (2954ds/54282Mi)
% 43.00/6.59 % TRYING [1]
% 43.00/6.59 % TRYING [2]
% 43.00/6.59 % TRYING [3]
% 43.00/6.59 % TRYING [4]
% 43.00/6.59 % TRYING [9]
% 43.00/6.59 % TRYING [5]
% 43.00/6.59 % (1765836)Instruction limit reached!
% 43.00/6.59 % (1765836)------------------------------
% 43.00/6.59 % (1765836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.00/6.59 % (1765836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.00/6.59 % (1765836)CaDiCaL version: 2.1.3
% 43.00/6.59 % (1765836)Termination reason: Instruction limit
% 43.00/6.59 % (1765836)Termination phase: Saturation
% 43.00/6.59 % (1765836)Time elapsed: 0.455 s
% 43.00/6.59 % (1765836)Peak memory usage: 23 MB
% 43.00/6.59 % (1765836)Instructions burned: 870 (million)
% 43.00/6.59 % (1765842)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2856676999:i=3512:aac=none_2953 on theBenchmark for (2953ds/3512Mi)
% 43.00/6.59 % TRYING [6]
% 43.00/6.59 % TRYING [7]
% 43.00/6.59 % (1765822)Instruction limit reached!
% 43.00/6.59 % (1765822)------------------------------
% 43.00/6.59 % (1765822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.00/6.59 % (1765822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.00/6.59 % (1765822)CaDiCaL version: 2.1.3
% 43.00/6.59 % (1765822)Termination reason: Instruction limit
% 43.00/6.59 % (1765822)Termination phase: Finite model building constraint generation
% 43.00/6.59 % (1765822)Time elapsed: 4.782 s
% 43.00/6.59 % (1765822)Peak memory usage: 238 MB
% 43.00/6.59 % (1765822)Instructions burned: 22061 (million)
% 43.00/6.59 % (1765844)dis+21_1_sil=32000:sas=cadical:random_seed=3157559770:i=3773:amm=off_2945 on theBenchmark for (2945ds/3773Mi)
% 43.00/6.59 % (1765844) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1765783-1765844"...
% 43.00/6.59 % (1765844)...printing done.
% 43.00/6.59 % (1765844)Refutation found. Thanks to Tanya!
% 43.00/6.59 % SZS status Unsatisfiable for theBenchmark
% 43.00/6.59 % SZS output start Proof for theBenchmark
% See solution above
% 43.00/6.60 % (1765844)------------------------------
% 43.00/6.60 % (1765844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.00/6.60 % (1765844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.00/6.60 % (1765844)CaDiCaL version: 2.1.3
% 43.00/6.60 % (1765844)Termination reason: Refutation
% 43.00/6.60 % (1765844)Time elapsed: 0.678 s
% 43.00/6.60 % (1765844)Peak memory usage: 35 MB
% 43.00/6.60 % (1765844)Instructions burned: 2384 (million)
% 43.00/6.60 % (1765783)Success in time 6.162 s
% 43.00/6.60 % Vampire exiting
%------------------------------------------------------------------------------