%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC188-1 : 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 01:05:01 PM UTC 2026
% Result : Unsatisfiable 15.90s 5.06s
% Output : Refutation 15.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 71
% Syntax : Number of formulae : 367 ( 60 unt; 28 def)
% Number of atoms : 1210 ( 157 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1359 ( 516 ~; 815 |; 0 &)
% ( 28 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 29 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-2 aty)
% Number of variables : 224 ( 0 sgn 224 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause11) ).
fof(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(f59,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause59) ).
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(X0)
| ssList(tl(X0))
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause75) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause80) ).
fof(f85,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause96) ).
fof(f107,axiom,
! [X0] :
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause104) ).
fof(f112,axiom,
! [X0] :
( ~ ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause109) ).
fof(f119,axiom,
! [X0,X1] :
( cons(X0,nil) != X1
| ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause116) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause120) ).
fof(f126,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(reorient_equations,[],[f125]) ).
fof(f134,axiom,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ segmentP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause127) ).
fof(f135,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ segmentP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1 ),
inference(reorient_equations,[],[f134]) ).
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(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(X0,X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| memberP(app(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause140) ).
fof(f152,axiom,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| memberP(app(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause141) ).
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(f187,axiom,
! [X2,X3,X0,X1] :
( app(app(X0,X1),X2) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).
fof(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(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(f200,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f201,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssItem(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,
ssList(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
sk1 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(reorient_equations,[],[f210]) ).
fof(f214,negated_conjecture,
( ssItem(sk9)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f219,negated_conjecture,
( cons(sk9,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f220,plain,
( sk3 = cons(sk9,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f219]) ).
fof(f221,negated_conjecture,
( memberP(sk4,sk9)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
fof(f223,plain,
ssList(sk3),
inference(definition_unfolding,[],[f200,f205]) ).
fof(f224,plain,
ssList(sk4),
inference(definition_unfolding,[],[f201,f204]) ).
fof(f225,plain,
sk3 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(definition_unfolding,[],[f211,f205]) ).
fof(f233,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| singletonP(cons(X0,nil)) ),
inference(equality_resolution,[],[f119]) ).
fof(f235,plain,
! [X2,X1] :
( ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f149]) ).
fof(f240,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f187]) ).
fof(f241,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| memberP(app(X0,cons(X1,X2)),X1) ),
inference(equality_resolution,[],[f189]) ).
fof(f243,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(f252,plain,
~ ssList(nil),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f253,plain,
! [X0] : ~ ssList(skaf82(X0)),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f276,plain,
! [X0,X1] : ~ ssList(skaf46(X0,X1)),
inference(consistent_polarity_flipping,[],[f50]) ).
fof(f278,plain,
! [X0,X1] : ~ ssList(skaf43(X0,X1)),
inference(consistent_polarity_flipping,[],[f52]) ).
fof(f279,plain,
! [X0,X1] : ~ ssList(skaf42(X0,X1)),
inference(consistent_polarity_flipping,[],[f53]) ).
fof(f283,plain,
! [X0] :
( ~ rearsegP(X0,X0)
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f59]) ).
fof(f289,plain,
! [X0,X1] :
( ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
inference(consistent_polarity_flipping,[],[f72]) ).
fof(f290,plain,
! [X0] :
( ssList(X0)
| app(X0,nil) = X0 ),
inference(consistent_polarity_flipping,[],[f73]) ).
fof(f291,plain,
! [X0] :
( ssList(X0)
| app(nil,X0) = X0 ),
inference(consistent_polarity_flipping,[],[f74]) ).
fof(f292,plain,
! [X0] :
( ~ ssList(tl(X0))
| ssList(X0)
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f75]) ).
fof(f297,plain,
! [X0] :
( segmentP(nil,X0)
| ssList(X0)
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f80]) ).
fof(f302,plain,
! [X0,X1] :
( ~ ssList(app(X1,X0))
| ssList(X1)
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f85]) ).
fof(f303,plain,
! [X0,X1] :
( ~ ssList(cons(X0,X1))
| ssList(X1)
| ~ ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f86]) ).
fof(f313,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ssList(X1)
| tl(cons(X0,X1)) = X1 ),
inference(consistent_polarity_flipping,[],[f96]) ).
fof(f320,plain,
! [X0] :
( ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f107]) ).
fof(f323,plain,
! [X0] :
( ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f112]) ).
fof(f329,plain,
! [X0] :
( singletonP(cons(X0,nil))
| ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f233]) ).
fof(f332,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(consistent_polarity_flipping,[],[f126]) ).
fof(f338,plain,
! [X0,X1] :
( segmentP(X0,X1)
| segmentP(X1,X0)
| ssList(X0)
| ssList(X1)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f135]) ).
fof(f341,plain,
! [X0,X1] :
( rearsegP(X0,X1)
| ssList(X1)
| ssList(X0)
| app(skaf46(X0,X1),X1) = X0 ),
inference(consistent_polarity_flipping,[],[f142]) ).
fof(f348,plain,
! [X2,X1] :
( ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1) ),
inference(consistent_polarity_flipping,[],[f235]) ).
fof(f350,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ssList(X2)
| ssList(X0)
| ~ ssItem(X1)
| memberP(app(X0,X2),X1) ),
inference(consistent_polarity_flipping,[],[f151]) ).
fof(f351,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ssList(X0)
| ssList(X2)
| ~ ssItem(X1)
| memberP(app(X2,X0),X1) ),
inference(consistent_polarity_flipping,[],[f152]) ).
fof(f359,plain,
! [X2,X0,X1] :
( app(X0,X1) != app(X2,X1)
| ssList(X0)
| ssList(X1)
| ssList(X2)
| X0 = X2 ),
inference(consistent_polarity_flipping,[],[f163]) ).
fof(f368,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| X0 = X2 ),
inference(consistent_polarity_flipping,[],[f174]) ).
fof(f376,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ssList(X0)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
inference(consistent_polarity_flipping,[],[f182]) ).
fof(f380,plain,
! [X2,X0,X1] :
( ~ segmentP(app(app(X0,X1),X2),X1)
| ssList(X0)
| ssList(X1)
| ssList(app(app(X0,X1),X2))
| ssList(X2) ),
inference(consistent_polarity_flipping,[],[f240]) ).
fof(f382,plain,
! [X2,X0,X1] :
( memberP(app(X0,cons(X1,X2)),X1)
| ssList(X0)
| ~ ssItem(X1)
| ssList(app(X0,cons(X1,X2)))
| ssList(X2) ),
inference(consistent_polarity_flipping,[],[f241]) ).
fof(f386,plain,
! [X2,X3,X0,X1] :
( ssList(X3)
| ssList(X2)
| ssList(X0)
| ~ ssItem(X1)
| ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ssList(app(app(X0,cons(X1,X2)),cons(X1,X3))) ),
inference(consistent_polarity_flipping,[],[f243]) ).
fof(f393,plain,
~ ssList(sk3),
inference(consistent_polarity_flipping,[],[f223]) ).
fof(f394,plain,
~ ssList(sk4),
inference(consistent_polarity_flipping,[],[f224]) ).
fof(f397,plain,
~ ssList(sk7),
inference(consistent_polarity_flipping,[],[f208]) ).
fof(f398,plain,
~ ssList(sk8),
inference(consistent_polarity_flipping,[],[f209]) ).
fof(f401,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ssList(X2) ),
inference(duplicate_literal_removal,[],[f348]) ).
fof(f406,definition,
( spl0_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f408,plain,
( nil = sk3
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f414,definition,
( spl0_3
<=> memberP(sk4,sk9) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f416,plain,
( memberP(sk4,sk9)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f417,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f221,f414,f406]) ).
fof(f419,definition,
( spl0_4
<=> sk3 = cons(sk9,nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f421,plain,
( sk3 = cons(sk9,nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f422,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f220,f419,f406]) ).
fof(f431,definition,
( spl0_6
<=> ssItem(sk9) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f433,plain,
( ssItem(sk9)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f434,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f214,f431,f406]) ).
fof(f441,definition,
( spl0_8
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f442,plain,
( ~ ssList(nil)
| spl0_8 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f469,definition,
( spl0_14
<=> ! [X1] : ssItem(X1) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f470,plain,
( ! [X1] : ssItem(X1)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f472,definition,
( spl0_15
<=> ! [X0] :
( ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f473,plain,
( ! [X0] :
( duplicatefreeP(X0)
| ssList(X0) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f474,plain,
( spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f289,f472,f469]) ).
fof(f477,plain,
~ spl0_8,
inference(avatar_split_clause,[],[f252,f441]) ).
fof(f483,plain,
( ! [X0] : ~ memberP(nil,X0)
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f71,f470]) ).
fof(f528,plain,
sk3 = app(sk3,nil),
inference(resolution,[],[f290,f393]) ).
fof(f560,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f291,f393]) ).
fof(f563,plain,
sk8 = app(nil,sk8),
inference(resolution,[],[f291,f398]) ).
fof(f595,plain,
( ! [X0,X1] :
( ~ ssList(cons(X0,X1))
| ssList(X1) )
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f303,f470]) ).
fof(f610,plain,
( ! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ssList(X2) )
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f401,f470]) ).
fof(f625,plain,
( ! [X0,X1] :
( ssList(X1)
| tl(cons(X0,X1)) = X1 )
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f313,f470]) ).
fof(f627,plain,
( ! [X0,X1] : skaf82(X1) = tl(cons(X0,skaf82(X1)))
| ~ spl0_14 ),
inference(resolution,[],[f625,f253]) ).
fof(f755,definition,
( spl0_16
<=> nil = sk8 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f756,plain,
( nil != sk8
| spl0_16 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f757,plain,
( nil = sk8
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f759,definition,
( spl0_17
<=> sk8 = cons(hd(sk8),tl(sk8)) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f761,plain,
( sk8 = cons(hd(sk8),tl(sk8))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f882,definition,
( spl0_25
<=> nil = app(app(sk7,cons(sk5,nil)),cons(sk6,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f883,plain,
( nil != app(app(sk7,cons(sk5,nil)),cons(sk6,nil))
| spl0_25 ),
inference(avatar_component_clause,[],[f882]) ).
fof(f884,plain,
( nil = app(app(sk7,cons(sk5,nil)),cons(sk6,nil))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f882]) ).
fof(f886,definition,
( spl0_26
<=> ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil))) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f887,plain,
( ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| spl0_26 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f888,plain,
( ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f935,definition,
( spl0_29
<=> ssList(cons(sk6,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f936,plain,
( ~ ssList(cons(sk6,nil))
| spl0_29 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f937,plain,
( ssList(cons(sk6,nil))
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f965,plain,
( ssList(nil)
| ~ ssItem(sk6)
| ~ spl0_29 ),
inference(resolution,[],[f303,f937]) ).
fof(f974,plain,
( ~ ssItem(sk6)
| spl0_8
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f965,f442]) ).
fof(f975,plain,
( $false
| spl0_8
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f974,f207]) ).
fof(f976,plain,
( spl0_8
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f975]) ).
fof(f984,definition,
( spl0_33
<=> nil = cons(sk6,nil) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f985,plain,
( nil != cons(sk6,nil)
| spl0_33 ),
inference(avatar_component_clause,[],[f984]) ).
fof(f986,plain,
( nil = cons(sk6,nil)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f984]) ).
fof(f1417,plain,
! [X0] :
( ssList(X0)
| ssList(X0)
| app(skaf46(X0,X0),X0) = X0
| ssList(X0) ),
inference(resolution,[],[f341,f283]) ).
fof(f1420,plain,
! [X0] :
( ssList(X0)
| app(skaf46(X0,X0),X0) = X0 ),
inference(duplicate_literal_removal,[],[f1417]) ).
fof(f1988,plain,
! [X0] :
( sk3 != app(X0,sk8)
| ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ssList(sk8)
| ssList(X0)
| app(app(sk7,cons(sk5,nil)),cons(sk6,nil)) = X0 ),
inference(superposition,[],[f359,f225]) ).
fof(f1994,plain,
! [X0] :
( sk3 != app(X0,sk3)
| ssList(X0)
| ssList(sk3)
| ssList(nil)
| nil = X0 ),
inference(superposition,[],[f359,f560]) ).
fof(f1997,plain,
! [X0] :
( sk8 != app(X0,sk8)
| ssList(X0)
| ssList(sk8)
| ssList(nil)
| nil = X0 ),
inference(superposition,[],[f359,f563]) ).
fof(f2026,plain,
! [X0] :
( sk8 != app(X0,sk8)
| ssList(X0)
| ssList(nil)
| nil = X0 ),
inference(forward_subsumption_resolution,[],[f1997,f398]) ).
fof(f2029,plain,
! [X0] :
( sk3 != app(X0,sk3)
| ssList(X0)
| ssList(nil)
| nil = X0 ),
inference(forward_subsumption_resolution,[],[f1994,f393]) ).
fof(f2034,plain,
! [X0] :
( sk3 != app(X0,sk8)
| ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ssList(X0)
| app(app(sk7,cons(sk5,nil)),cons(sk6,nil)) = X0 ),
inference(forward_subsumption_resolution,[],[f1988,f398]) ).
fof(f2058,plain,
( ! [X0] :
( sk8 != app(X0,sk8)
| ssList(X0)
| nil = X0 )
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f2026,f442]) ).
fof(f2061,plain,
( ! [X0] :
( sk3 != app(X0,sk3)
| ssList(X0)
| nil = X0 )
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f2029,f442]) ).
fof(f2141,plain,
( singletonP(nil)
| ssList(nil)
| ~ ssItem(sk6)
| ~ spl0_33 ),
inference(superposition,[],[f329,f986]) ).
fof(f2158,plain,
( ssList(nil)
| ~ ssItem(sk6)
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f2141,f11]) ).
fof(f2167,plain,
( ~ ssItem(sk6)
| spl0_8
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f2158,f442]) ).
fof(f2172,plain,
( $false
| spl0_8
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f2167,f207]) ).
fof(f2173,plain,
( spl0_8
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f2172]) ).
fof(f2351,definition,
( spl0_65
<=> sk8 = cons(skaf83(sk8),skaf82(sk8)) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f2353,plain,
( sk8 = cons(skaf83(sk8),skaf82(sk8))
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f2351]) ).
fof(f2485,definition,
( spl0_86
<=> ! [X0] :
( sk3 != app(X0,sk8)
| app(app(sk7,cons(sk5,nil)),cons(sk6,nil)) = X0
| ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
fof(f2486,plain,
( ! [X0] :
( sk3 != app(X0,sk8)
| app(app(sk7,cons(sk5,nil)),cons(sk6,nil)) = X0
| ssList(X0) )
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f2485]) ).
fof(f2488,plain,
( spl0_26
| spl0_86 ),
inference(avatar_split_clause,[],[f2034,f2485,f886]) ).
fof(f2642,plain,
( ~ ssItem(sk9)
| ssList(sk4)
| sk4 = app(skaf42(sk4,sk9),cons(sk9,skaf43(sk9,sk4)))
| ~ spl0_3 ),
inference(resolution,[],[f376,f416]) ).
fof(f2773,plain,
( ~ ssItem(sk9)
| sk4 = app(skaf42(sk4,sk9),cons(sk9,skaf43(sk9,sk4)))
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f2642,f394]) ).
fof(f2779,definition,
( spl0_101
<=> ssList(app(sk7,cons(sk5,nil))) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
fof(f2780,plain,
( ~ ssList(app(sk7,cons(sk5,nil)))
| spl0_101 ),
inference(avatar_component_clause,[],[f2779]) ).
fof(f2781,plain,
( ssList(app(sk7,cons(sk5,nil)))
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f2779]) ).
fof(f2787,definition,
( spl0_103
<=> sk4 = app(skaf42(sk4,sk9),cons(sk9,skaf43(sk9,sk4))) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
fof(f2789,plain,
( sk4 = app(skaf42(sk4,sk9),cons(sk9,skaf43(sk9,sk4)))
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f2787]) ).
fof(f2898,plain,
! [X0] :
( ~ segmentP(app(sk3,X0),sk8)
| ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ssList(sk8)
| ssList(app(sk3,X0))
| ssList(X0) ),
inference(superposition,[],[f380,f225]) ).
fof(f2903,plain,
( ~ segmentP(sk3,cons(sk6,nil))
| ssList(app(sk7,cons(sk5,nil)))
| ssList(cons(sk6,nil))
| ssList(sk3)
| ssList(sk8) ),
inference(superposition,[],[f380,f225]) ).
fof(f2908,plain,
( ~ segmentP(sk3,cons(sk6,nil))
| ssList(app(sk7,cons(sk5,nil)))
| ssList(sk3)
| ssList(sk8)
| spl0_29 ),
inference(forward_subsumption_resolution,[],[f2903,f936]) ).
fof(f2909,plain,
! [X0] :
( ~ segmentP(app(sk3,X0),sk8)
| ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ssList(app(sk3,X0))
| ssList(X0) ),
inference(forward_subsumption_resolution,[],[f2898,f398]) ).
fof(f2914,plain,
( ~ segmentP(sk3,cons(sk6,nil))
| ssList(app(sk7,cons(sk5,nil)))
| ssList(sk8)
| spl0_29 ),
inference(forward_subsumption_resolution,[],[f2908,f393]) ).
fof(f2920,plain,
( ~ segmentP(sk3,cons(sk6,nil))
| ssList(app(sk7,cons(sk5,nil)))
| spl0_29 ),
inference(forward_subsumption_resolution,[],[f2914,f398]) ).
fof(f2924,plain,
( ~ segmentP(nil,cons(sk6,nil))
| ssList(app(sk7,cons(sk5,nil)))
| ~ spl0_1
| spl0_29 ),
inference(forward_demodulation,[],[f2920,f408]) ).
fof(f2932,definition,
( spl0_108
<=> segmentP(nil,cons(sk6,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f2934,plain,
( ~ segmentP(nil,cons(sk6,nil))
| spl0_108 ),
inference(avatar_component_clause,[],[f2932]) ).
fof(f2935,plain,
( spl0_101
| ~ spl0_108
| ~ spl0_1
| spl0_29 ),
inference(avatar_split_clause,[],[f2924,f935,f406,f2932,f2779]) ).
fof(f2978,plain,
( ! [X2,X3,X0,X1] :
( ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ssList(X2)
| ssList(X0)
| ~ ssItem(X1)
| ssList(X3) )
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f386,f473]) ).
fof(f3103,plain,
( ssList(cons(sk6,nil))
| nil = cons(sk6,nil)
| spl0_108 ),
inference(resolution,[],[f2934,f297]) ).
fof(f3106,plain,
( nil = cons(sk6,nil)
| spl0_29
| spl0_108 ),
inference(forward_subsumption_resolution,[],[f3103,f936]) ).
fof(f3108,plain,
( $false
| spl0_29
| spl0_33
| spl0_108 ),
inference(forward_subsumption_resolution,[],[f3106,f985]) ).
fof(f3109,plain,
( spl0_29
| spl0_33
| spl0_108 ),
inference(avatar_contradiction_clause,[],[f3108]) ).
fof(f3205,plain,
( ! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ssList(X2)
| ssList(X0)
| memberP(app(X0,X2),X1) )
| ~ spl0_14 ),
inference(backward_subsumption_resolution,[],[f350,f470]) ).
fof(f3206,plain,
( ! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ssList(X0)
| ssList(X2)
| memberP(app(X2,X0),X1) )
| ~ spl0_14 ),
inference(backward_subsumption_resolution,[],[f351,f470]) ).
fof(f3213,plain,
( ! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ssList(X1)
| ~ ssItem(X2)
| memberP(X1,X2)
| X0 = X2 )
| ~ spl0_14 ),
inference(backward_subsumption_resolution,[],[f368,f470]) ).
fof(f3218,plain,
( ! [X2,X0,X1] :
( memberP(app(X0,cons(X1,X2)),X1)
| ssList(X0)
| ssList(app(X0,cons(X1,X2)))
| ssList(X2) )
| ~ spl0_14 ),
inference(backward_subsumption_resolution,[],[f382,f470]) ).
fof(f3250,plain,
( ! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ssList(X1)
| memberP(X1,X2)
| X0 = X2 )
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f3213,f470]) ).
fof(f3305,plain,
( ssList(sk7)
| ssList(cons(sk5,nil))
| ~ spl0_101 ),
inference(resolution,[],[f2781,f302]) ).
fof(f3306,plain,
( ssList(cons(sk5,nil))
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[],[f3305,f397]) ).
fof(f3379,plain,
( ssList(nil)
| ~ ssItem(sk5)
| ~ spl0_101 ),
inference(resolution,[],[f303,f3306]) ).
fof(f3393,plain,
( ~ ssItem(sk5)
| spl0_8
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[],[f3379,f442]) ).
fof(f3394,plain,
( $false
| spl0_8
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[],[f3393,f206]) ).
fof(f3395,plain,
( spl0_8
| ~ spl0_101 ),
inference(avatar_contradiction_clause,[],[f3394]) ).
fof(f3396,plain,
( sk4 = app(skaf42(sk4,sk9),cons(sk9,skaf43(sk9,sk4)))
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f2773,f433]) ).
fof(f3405,plain,
( spl0_103
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f3396,f431,f414,f2787]) ).
fof(f3562,plain,
( ! [X0] :
( ssList(X0)
| cons(sk9,X0) = app(cons(sk9,nil),X0) )
| ~ spl0_6 ),
inference(resolution,[],[f332,f433]) ).
fof(f3563,plain,
( ! [X0] :
( ssList(X0)
| app(sk3,X0) = cons(sk9,X0) )
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f3562,f421]) ).
fof(f3768,definition,
( spl0_138
<=> nil = app(sk7,cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
fof(f3769,plain,
( nil != app(sk7,cons(sk5,nil))
| spl0_138 ),
inference(avatar_component_clause,[],[f3768]) ).
fof(f3770,plain,
( nil = app(sk7,cons(sk5,nil))
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f3768]) ).
fof(f4027,plain,
( ! [X0,X1] :
( ssList(app(app(X0,cons(sk9,X1)),sk3))
| ssList(X1)
| ssList(X0)
| ~ ssItem(sk9)
| ssList(nil) )
| ~ spl0_4
| ~ spl0_15 ),
inference(superposition,[],[f2978,f421]) ).
fof(f4032,plain,
( ! [X0,X1] :
( ssList(app(app(X0,cons(sk9,X1)),sk3))
| ssList(X1)
| ssList(X0)
| ssList(nil) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f4027,f433]) ).
fof(f4043,plain,
( ! [X0,X1] :
( ssList(app(app(X0,cons(sk9,X1)),sk3))
| ssList(X1)
| ssList(X0) )
| ~ spl0_4
| ~ spl0_6
| spl0_8
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f4032,f442]) ).
fof(f5214,plain,
( ! [X2,X0,X1] :
( ssList(cons(X0,X1))
| ssList(X2)
| memberP(app(X2,cons(X0,X1)),X0)
| ssList(X1) )
| ~ spl0_14 ),
inference(resolution,[],[f3206,f610]) ).
fof(f5237,plain,
( ! [X2,X0,X1] :
( memberP(app(X2,cons(X0,X1)),X0)
| ssList(X2)
| ssList(X1) )
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f5214,f595]) ).
fof(f5301,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ssList(nil)
| memberP(nil,X0)
| sk9 = X0 )
| ~ spl0_4
| ~ spl0_14 ),
inference(superposition,[],[f3250,f421]) ).
fof(f5304,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| memberP(nil,X0)
| sk9 = X0 )
| ~ spl0_4
| spl0_8
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f5301,f442]) ).
fof(f5315,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| sk9 = X0 )
| ~ spl0_4
| spl0_8
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f5304,f483]) ).
fof(f5790,plain,
( ! [X2,X3,X0,X1] :
( ssList(X0)
| ssList(app(X0,cons(X1,X2)))
| ssList(X2)
| ssList(X3)
| ssList(app(X0,cons(X1,X2)))
| memberP(app(app(X0,cons(X1,X2)),X3),X1) )
| ~ spl0_14 ),
inference(resolution,[],[f3218,f3205]) ).
fof(f5803,plain,
( ! [X2,X3,X0,X1] :
( memberP(app(app(X0,cons(X1,X2)),X3),X1)
| ssList(app(X0,cons(X1,X2)))
| ssList(X2)
| ssList(X3)
| ssList(X0) )
| ~ spl0_14 ),
inference(duplicate_literal_removal,[],[f5790]) ).
fof(f6408,plain,
( ! [X0] : app(sk3,skaf82(X0)) = cons(sk9,skaf82(X0))
| ~ spl0_4
| ~ spl0_6 ),
inference(resolution,[],[f3563,f253]) ).
fof(f6750,plain,
( ssList(app(sk7,cons(sk5,nil)))
| ssList(cons(sk6,nil))
| ~ spl0_26 ),
inference(resolution,[],[f888,f302]) ).
fof(f6751,plain,
( ssList(cons(sk6,nil))
| ~ spl0_26
| spl0_101 ),
inference(forward_subsumption_resolution,[],[f6750,f2780]) ).
fof(f6752,plain,
( $false
| ~ spl0_26
| spl0_29
| spl0_101 ),
inference(forward_subsumption_resolution,[],[f6751,f936]) ).
fof(f6753,plain,
( ~ spl0_26
| spl0_29
| spl0_101 ),
inference(avatar_contradiction_clause,[],[f6752]) ).
fof(f6756,definition,
( spl0_206
<=> ! [X0] :
( ~ segmentP(app(sk3,X0),sk8)
| ssList(X0)
| ssList(app(sk3,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_206])],[avatar_definition]) ).
fof(f6757,plain,
( ! [X0] :
( ~ segmentP(app(sk3,X0),sk8)
| ssList(X0)
| ssList(app(sk3,X0)) )
| ~ spl0_206 ),
inference(avatar_component_clause,[],[f6756]) ).
fof(f6758,plain,
( spl0_26
| spl0_206 ),
inference(avatar_split_clause,[],[f2909,f6756,f886]) ).
fof(f6834,definition,
( spl0_208
<=> ssList(tl(sk8)) ),
introduced(definition,[new_symbols(definition,[spl0_208])],[avatar_definition]) ).
fof(f6836,plain,
( ssList(tl(sk8))
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f6834]) ).
fof(f7214,definition,
( spl0_247
<=> ssList(app(sk4,sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_247])],[avatar_definition]) ).
fof(f7215,plain,
( ~ ssList(app(sk4,sk3))
| spl0_247 ),
inference(avatar_component_clause,[],[f7214]) ).
fof(f7216,plain,
( ssList(app(sk4,sk3))
| ~ spl0_247 ),
inference(avatar_component_clause,[],[f7214]) ).
fof(f7943,plain,
( ssList(sk4)
| ssList(sk3)
| ~ spl0_247 ),
inference(resolution,[],[f7216,f302]) ).
fof(f7944,plain,
( ssList(sk3)
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[],[f7943,f394]) ).
fof(f7945,plain,
( $false
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[],[f7944,f393]) ).
fof(f7946,plain,
~ spl0_247,
inference(avatar_contradiction_clause,[],[f7945]) ).
fof(f10079,plain,
( memberP(nil,sk6)
| ssList(app(sk7,cons(sk5,nil)))
| ~ ssItem(sk6)
| ssList(nil)
| ssList(nil)
| ~ spl0_25 ),
inference(superposition,[],[f382,f884]) ).
fof(f10114,plain,
( memberP(nil,sk6)
| ssList(app(sk7,cons(sk5,nil)))
| ~ ssItem(sk6)
| ssList(nil)
| ~ spl0_25 ),
inference(duplicate_literal_removal,[],[f10079]) ).
fof(f10140,plain,
( ssList(app(sk7,cons(sk5,nil)))
| ~ ssItem(sk6)
| ssList(nil)
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f10114,f71]) ).
fof(f10167,plain,
( ~ ssItem(sk6)
| ssList(nil)
| ~ spl0_25
| spl0_101 ),
inference(forward_subsumption_resolution,[],[f10140,f2780]) ).
fof(f10185,plain,
( ssList(nil)
| ~ spl0_25
| spl0_101 ),
inference(forward_subsumption_resolution,[],[f10167,f207]) ).
fof(f10194,plain,
( $false
| spl0_8
| ~ spl0_25
| spl0_101 ),
inference(forward_subsumption_resolution,[],[f10185,f442]) ).
fof(f10195,plain,
( spl0_8
| ~ spl0_25
| spl0_101 ),
inference(avatar_contradiction_clause,[],[f10194]) ).
fof(f11204,plain,
( ssList(app(sk4,sk3))
| ssList(skaf43(sk9,sk4))
| ssList(skaf42(sk4,sk9))
| ~ spl0_4
| ~ spl0_6
| spl0_8
| ~ spl0_15
| ~ spl0_103 ),
inference(superposition,[],[f4043,f2789]) ).
fof(f11205,plain,
( ssList(skaf43(sk9,sk4))
| ssList(skaf42(sk4,sk9))
| ~ spl0_4
| ~ spl0_6
| spl0_8
| ~ spl0_15
| ~ spl0_103
| spl0_247 ),
inference(forward_subsumption_resolution,[],[f11204,f7215]) ).
fof(f11208,plain,
( ssList(skaf42(sk4,sk9))
| ~ spl0_4
| ~ spl0_6
| spl0_8
| ~ spl0_15
| ~ spl0_103
| spl0_247 ),
inference(forward_subsumption_resolution,[],[f11205,f278]) ).
fof(f11209,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| spl0_8
| ~ spl0_15
| ~ spl0_103
| spl0_247 ),
inference(forward_subsumption_resolution,[],[f11208,f279]) ).
fof(f11210,plain,
( ~ spl0_4
| ~ spl0_6
| spl0_8
| ~ spl0_15
| ~ spl0_103
| spl0_247 ),
inference(avatar_contradiction_clause,[],[f11209]) ).
fof(f14068,definition,
( spl0_431
<=> sk6 = sk9 ),
introduced(definition,[new_symbols(definition,[spl0_431])],[avatar_definition]) ).
fof(f14070,plain,
( sk6 = sk9
| ~ spl0_431 ),
inference(avatar_component_clause,[],[f14068]) ).
fof(f16671,plain,
( ! [X0] :
( app(X0,nil) != sk3
| app(app(sk7,cons(sk5,nil)),cons(sk6,nil)) = X0
| ssList(X0) )
| ~ spl0_16
| ~ spl0_86 ),
inference(forward_demodulation,[],[f2486,f757]) ).
fof(f22540,plain,
( memberP(nil,sk5)
| ssList(sk7)
| ssList(nil)
| ssList(nil)
| ~ spl0_14
| ~ spl0_138 ),
inference(superposition,[],[f3218,f3770]) ).
fof(f22557,plain,
( memberP(nil,sk5)
| ssList(sk7)
| ssList(nil)
| ~ spl0_14
| ~ spl0_138 ),
inference(duplicate_literal_removal,[],[f22540]) ).
fof(f22570,plain,
( ssList(sk7)
| ssList(nil)
| ~ spl0_14
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f22557,f483]) ).
fof(f22613,plain,
( ssList(nil)
| ~ spl0_14
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f22570,f397]) ).
fof(f22619,plain,
( $false
| spl0_8
| ~ spl0_14
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f22613,f442]) ).
fof(f22620,plain,
( spl0_8
| ~ spl0_14
| ~ spl0_138 ),
inference(avatar_contradiction_clause,[],[f22619]) ).
fof(f23874,plain,
sk3 = app(skaf46(sk3,sk3),sk3),
inference(resolution,[],[f1420,f393]) ).
fof(f35751,plain,
! [X0] :
( ~ segmentP(app(sk3,X0),sk3)
| ssList(skaf46(sk3,sk3))
| ssList(sk3)
| ssList(app(sk3,X0))
| ssList(X0) ),
inference(superposition,[],[f380,f23874]) ).
fof(f35758,plain,
! [X0] :
( ~ segmentP(app(sk3,X0),sk3)
| ssList(skaf46(sk3,sk3))
| ssList(sk3)
| ssList(X0) ),
inference(forward_subsumption_resolution,[],[f35751,f302]) ).
fof(f35770,plain,
! [X0] :
( ~ segmentP(app(sk3,X0),sk3)
| ssList(sk3)
| ssList(X0) ),
inference(forward_subsumption_resolution,[],[f35758,f276]) ).
fof(f35786,plain,
! [X0] :
( ~ segmentP(app(sk3,X0),sk3)
| ssList(X0) ),
inference(forward_subsumption_resolution,[],[f35770,f393]) ).
fof(f72992,plain,
( memberP(sk3,sk6)
| ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ssList(nil)
| ssList(sk8)
| ssList(app(sk7,cons(sk5,nil)))
| ~ spl0_14 ),
inference(superposition,[],[f5803,f225]) ).
fof(f72994,plain,
( memberP(sk3,sk6)
| ssList(nil)
| ssList(sk8)
| ssList(app(sk7,cons(sk5,nil)))
| ~ spl0_14
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f72992,f887]) ).
fof(f73039,plain,
( memberP(sk3,sk6)
| ssList(sk8)
| ssList(app(sk7,cons(sk5,nil)))
| spl0_8
| ~ spl0_14
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f72994,f442]) ).
fof(f73048,plain,
( memberP(sk3,sk6)
| ssList(sk8)
| spl0_8
| ~ spl0_14
| spl0_26
| spl0_101 ),
inference(forward_subsumption_resolution,[],[f73039,f2780]) ).
fof(f73050,plain,
( ssList(nil)
| memberP(sk3,sk6)
| spl0_8
| ~ spl0_14
| ~ spl0_16
| spl0_26
| spl0_101 ),
inference(forward_demodulation,[],[f73048,f757]) ).
fof(f73051,plain,
( memberP(sk3,sk6)
| spl0_8
| ~ spl0_14
| ~ spl0_16
| spl0_26
| spl0_101 ),
inference(forward_subsumption_resolution,[],[f73050,f442]) ).
fof(f73052,plain,
( sk6 = sk9
| ~ spl0_4
| spl0_8
| ~ spl0_14
| ~ spl0_16
| spl0_26
| spl0_101 ),
inference(resolution,[],[f73051,f5315]) ).
fof(f73063,plain,
( spl0_431
| ~ spl0_4
| spl0_8
| ~ spl0_14
| ~ spl0_16
| spl0_26
| spl0_101 ),
inference(avatar_split_clause,[],[f73052,f2779,f886,f755,f469,f441,f419,f14068]) ).
fof(f98973,plain,
( ! [X0] :
( ~ segmentP(cons(sk9,skaf82(X0)),sk3)
| ssList(skaf82(X0)) )
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f35786,f6408]) ).
fof(f99017,plain,
( ! [X0] : ~ segmentP(cons(sk9,skaf82(X0)),sk3)
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f98973,f253]) ).
fof(f118613,definition,
( spl0_3582
<=> ssList(sk8) ),
introduced(definition,[new_symbols(definition,[spl0_3582])],[avatar_definition]) ).
fof(f118614,plain,
( ~ ssList(sk8)
| spl0_3582 ),
inference(avatar_component_clause,[],[f118613]) ).
fof(f119106,definition,
( spl0_3600
<=> sk9 = hd(sk8) ),
introduced(definition,[new_symbols(definition,[spl0_3600])],[avatar_definition]) ).
fof(f119107,plain,
( sk9 != hd(sk8)
| spl0_3600 ),
inference(avatar_component_clause,[],[f119106]) ).
fof(f119108,plain,
( sk9 = hd(sk8)
| ~ spl0_3600 ),
inference(avatar_component_clause,[],[f119106]) ).
fof(f119446,plain,
~ spl0_3582,
inference(avatar_split_clause,[],[f398,f118613]) ).
fof(f119449,plain,
( sk8 = cons(hd(sk8),tl(sk8))
| nil = sk8
| spl0_3582 ),
inference(resolution,[],[f118614,f320]) ).
fof(f119450,plain,
( sk8 = cons(skaf83(sk8),skaf82(sk8))
| nil = sk8
| spl0_3582 ),
inference(resolution,[],[f118614,f323]) ).
fof(f120069,plain,
( sk8 = cons(hd(sk8),tl(sk8))
| spl0_16
| spl0_3582 ),
inference(forward_subsumption_resolution,[],[f119449,f756]) ).
fof(f120101,plain,
( spl0_17
| spl0_16
| spl0_3582 ),
inference(avatar_split_clause,[],[f120069,f118613,f755,f759]) ).
fof(f120141,plain,
( ! [X0] :
( memberP(app(X0,sk8),hd(sk8))
| ssList(X0)
| ssList(tl(sk8)) )
| ~ spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f5237,f761]) ).
fof(f120356,definition,
( spl0_3663
<=> ! [X0] :
( memberP(app(X0,sk8),hd(sk8))
| ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_3663])],[avatar_definition]) ).
fof(f120357,plain,
( ! [X0] :
( memberP(app(X0,sk8),hd(sk8))
| ssList(X0) )
| ~ spl0_3663 ),
inference(avatar_component_clause,[],[f120356]) ).
fof(f120358,plain,
( spl0_208
| spl0_3663
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f120141,f759,f469,f120356,f6834]) ).
fof(f120417,plain,
( tl(sk8) = skaf82(sk8)
| ~ spl0_14
| ~ spl0_65 ),
inference(superposition,[],[f627,f2353]) ).
fof(f120655,plain,
( ssList(sk8)
| nil = sk8
| ~ spl0_208 ),
inference(resolution,[],[f6836,f292]) ).
fof(f120656,plain,
( nil = sk8
| ~ spl0_208
| spl0_3582 ),
inference(forward_subsumption_resolution,[],[f120655,f118614]) ).
fof(f129100,plain,
( sk8 = cons(sk9,tl(sk8))
| ~ spl0_17
| ~ spl0_3600 ),
inference(superposition,[],[f761,f119108]) ).
fof(f132718,plain,
( memberP(sk3,hd(sk8))
| ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ spl0_3663 ),
inference(superposition,[],[f120357,f225]) ).
fof(f132720,plain,
( memberP(sk3,hd(sk8))
| spl0_26
| ~ spl0_3663 ),
inference(forward_subsumption_resolution,[],[f132718,f887]) ).
fof(f133550,plain,
( ~ segmentP(cons(sk9,tl(sk8)),sk3)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_65 ),
inference(superposition,[],[f99017,f120417]) ).
fof(f136565,plain,
( sk3 != sk8
| ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| nil = app(app(sk7,cons(sk5,nil)),cons(sk6,nil))
| spl0_8 ),
inference(superposition,[],[f2058,f225]) ).
fof(f136566,plain,
( sk3 != sk8
| nil = app(app(sk7,cons(sk5,nil)),cons(sk6,nil))
| spl0_8
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f136565,f887]) ).
fof(f136567,plain,
( sk3 != sk8
| spl0_8
| spl0_25
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f136566,f883]) ).
fof(f146854,plain,
( ~ segmentP(sk8,sk3)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_17
| ~ spl0_65
| ~ spl0_3600 ),
inference(forward_demodulation,[],[f133550,f129100]) ).
fof(f147107,definition,
( spl0_4904
<=> sk3 = sk8 ),
introduced(definition,[new_symbols(definition,[spl0_4904])],[avatar_definition]) ).
fof(f147108,plain,
( sk3 != sk8
| spl0_4904 ),
inference(avatar_component_clause,[],[f147107]) ).
fof(f147326,definition,
( spl0_4926
<=> sk3 = app(app(sk7,cons(sk5,nil)),sk3) ),
introduced(definition,[new_symbols(definition,[spl0_4926])],[avatar_definition]) ).
fof(f147328,plain,
( sk3 = app(app(sk7,cons(sk5,nil)),sk3)
| ~ spl0_4926 ),
inference(avatar_component_clause,[],[f147326]) ).
fof(f147630,plain,
( ~ segmentP(sk3,sk8)
| ssList(nil)
| ssList(sk3)
| ~ spl0_206 ),
inference(superposition,[],[f6757,f528]) ).
fof(f147690,plain,
( ~ segmentP(sk3,sk8)
| ssList(sk3)
| spl0_8
| ~ spl0_206 ),
inference(forward_subsumption_resolution,[],[f147630,f442]) ).
fof(f147724,plain,
( ~ segmentP(sk3,sk8)
| spl0_8
| ~ spl0_206 ),
inference(forward_subsumption_resolution,[],[f147690,f393]) ).
fof(f148191,plain,
( ~ spl0_4904
| spl0_8
| spl0_25
| spl0_26 ),
inference(avatar_split_clause,[],[f136567,f886,f882,f441,f147107]) ).
fof(f148644,plain,
( segmentP(sk3,sk8)
| ssList(sk8)
| ssList(sk3)
| sk3 = sk8
| ~ spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_17
| ~ spl0_65
| ~ spl0_3600 ),
inference(resolution,[],[f146854,f338]) ).
fof(f148661,plain,
( ssList(sk8)
| ssList(sk3)
| sk3 = sk8
| ~ spl0_4
| ~ spl0_6
| spl0_8
| ~ spl0_14
| ~ spl0_17
| ~ spl0_65
| ~ spl0_206
| ~ spl0_3600 ),
inference(forward_subsumption_resolution,[],[f148644,f147724]) ).
fof(f148671,plain,
( ssList(sk3)
| sk3 = sk8
| ~ spl0_4
| ~ spl0_6
| spl0_8
| ~ spl0_14
| ~ spl0_17
| ~ spl0_65
| ~ spl0_206
| spl0_3582
| ~ spl0_3600 ),
inference(forward_subsumption_resolution,[],[f148661,f118614]) ).
fof(f148675,plain,
( sk3 = sk8
| ~ spl0_4
| ~ spl0_6
| spl0_8
| ~ spl0_14
| ~ spl0_17
| ~ spl0_65
| ~ spl0_206
| spl0_3582
| ~ spl0_3600 ),
inference(forward_subsumption_resolution,[],[f148671,f393]) ).
fof(f148678,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| spl0_8
| ~ spl0_14
| ~ spl0_17
| ~ spl0_65
| ~ spl0_206
| spl0_3582
| ~ spl0_3600
| spl0_4904 ),
inference(forward_subsumption_resolution,[],[f148675,f147108]) ).
fof(f148679,plain,
( ~ spl0_4
| ~ spl0_6
| spl0_8
| ~ spl0_14
| ~ spl0_17
| ~ spl0_65
| ~ spl0_206
| spl0_3582
| ~ spl0_3600
| spl0_4904 ),
inference(avatar_contradiction_clause,[],[f148678]) ).
fof(f149609,plain,
( sk9 = hd(sk8)
| ~ spl0_4
| spl0_8
| ~ spl0_14
| spl0_26
| ~ spl0_3663 ),
inference(resolution,[],[f132720,f5315]) ).
fof(f149622,plain,
( $false
| ~ spl0_4
| spl0_8
| ~ spl0_14
| spl0_26
| spl0_3600
| ~ spl0_3663 ),
inference(forward_subsumption_resolution,[],[f149609,f119107]) ).
fof(f149623,plain,
( ~ spl0_4
| spl0_8
| ~ spl0_14
| spl0_26
| spl0_3600
| ~ spl0_3663 ),
inference(avatar_contradiction_clause,[],[f149622]) ).
fof(f150305,plain,
( ! [X0] :
( app(app(sk7,cons(sk5,nil)),cons(sk9,nil)) = X0
| app(X0,nil) != sk3
| ssList(X0) )
| ~ spl0_16
| ~ spl0_86
| ~ spl0_431 ),
inference(forward_demodulation,[],[f16671,f14070]) ).
fof(f151627,plain,
( spl0_16
| ~ spl0_208
| spl0_3582 ),
inference(avatar_split_clause,[],[f120656,f118613,f6834,f755]) ).
fof(f151891,plain,
( spl0_16
| spl0_65
| spl0_3582 ),
inference(avatar_split_clause,[],[f119450,f118613,f2351,f755]) ).
fof(f152144,plain,
( ! [X0] :
( app(X0,nil) != sk3
| app(app(sk7,cons(sk5,nil)),sk3) = X0
| ssList(X0) )
| ~ spl0_4
| ~ spl0_16
| ~ spl0_86
| ~ spl0_431 ),
inference(forward_demodulation,[],[f150305,f421]) ).
fof(f155386,plain,
( sk3 != sk3
| sk3 = app(app(sk7,cons(sk5,nil)),sk3)
| ssList(sk3)
| ~ spl0_4
| ~ spl0_16
| ~ spl0_86
| ~ spl0_431 ),
inference(superposition,[],[f152144,f528]) ).
fof(f155390,plain,
( sk3 = app(app(sk7,cons(sk5,nil)),sk3)
| ssList(sk3)
| ~ spl0_4
| ~ spl0_16
| ~ spl0_86
| ~ spl0_431 ),
inference(trivial_inequality_removal,[],[f155386]) ).
fof(f155391,plain,
( sk3 = app(app(sk7,cons(sk5,nil)),sk3)
| ~ spl0_4
| ~ spl0_16
| ~ spl0_86
| ~ spl0_431 ),
inference(forward_subsumption_resolution,[],[f155390,f393]) ).
fof(f155421,plain,
( spl0_4926
| ~ spl0_4
| ~ spl0_16
| ~ spl0_86
| ~ spl0_431 ),
inference(avatar_split_clause,[],[f155391,f14068,f2485,f755,f419,f147326]) ).
fof(f155856,plain,
( sk3 != sk3
| ssList(app(sk7,cons(sk5,nil)))
| nil = app(sk7,cons(sk5,nil))
| spl0_8
| ~ spl0_4926 ),
inference(superposition,[],[f2061,f147328]) ).
fof(f155894,plain,
( ssList(app(sk7,cons(sk5,nil)))
| nil = app(sk7,cons(sk5,nil))
| spl0_8
| ~ spl0_4926 ),
inference(trivial_inequality_removal,[],[f155856]) ).
fof(f155916,plain,
( nil = app(sk7,cons(sk5,nil))
| spl0_8
| spl0_101
| ~ spl0_4926 ),
inference(forward_subsumption_resolution,[],[f155894,f2780]) ).
fof(f155938,plain,
( $false
| spl0_8
| spl0_101
| spl0_138
| ~ spl0_4926 ),
inference(forward_subsumption_resolution,[],[f155916,f3769]) ).
fof(f155939,plain,
( spl0_8
| spl0_101
| spl0_138
| ~ spl0_4926 ),
inference(avatar_contradiction_clause,[],[f155938]) ).
cnf(s2,plain,
( spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f417]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f422]) ).
cnf(s7,plain,
( spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f434]) ).
cnf(s15,plain,
( spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f474]) ).
cnf(s18,plain,
~ spl0_8,
inference(sat_conversion,[],[f477]) ).
cnf(s43,plain,
( spl0_8
| ~ spl0_29 ),
inference(sat_conversion,[],[f976]) ).
cnf(s106,plain,
( spl0_8
| ~ spl0_33 ),
inference(sat_conversion,[],[f2173]) ).
cnf(s153,plain,
( spl0_26
| spl0_86 ),
inference(sat_conversion,[],[f2488]) ).
cnf(s291,plain,
( ~ spl0_1
| spl0_29
| spl0_101
| ~ spl0_108 ),
inference(sat_conversion,[],[f2935]) ).
cnf(s303,plain,
( spl0_29
| spl0_33
| spl0_108 ),
inference(sat_conversion,[],[f3109]) ).
cnf(s333,plain,
( spl0_8
| ~ spl0_101 ),
inference(sat_conversion,[],[f3395]) ).
cnf(s336,plain,
( ~ spl0_3
| ~ spl0_6
| spl0_103 ),
inference(sat_conversion,[],[f3405]) ).
cnf(s465,plain,
( ~ spl0_26
| spl0_29
| spl0_101 ),
inference(sat_conversion,[],[f6753]) ).
cnf(s466,plain,
( spl0_26
| spl0_206 ),
inference(sat_conversion,[],[f6758]) ).
cnf(s568,plain,
~ spl0_247,
inference(sat_conversion,[],[f7946]) ).
cnf(s685,plain,
( spl0_8
| ~ spl0_25
| spl0_101 ),
inference(sat_conversion,[],[f10195]) ).
cnf(s737,plain,
( ~ spl0_4
| ~ spl0_6
| spl0_8
| ~ spl0_15
| ~ spl0_103
| spl0_247 ),
inference(sat_conversion,[],[f11210]) ).
cnf(s1051,plain,
( spl0_8
| ~ spl0_14
| ~ spl0_138 ),
inference(sat_conversion,[],[f22620]) ).
cnf(s2607,plain,
( ~ spl0_4
| spl0_8
| ~ spl0_14
| ~ spl0_16
| spl0_26
| spl0_101
| spl0_431 ),
inference(sat_conversion,[],[f73063]) ).
cnf(s5896,plain,
~ spl0_3582,
inference(sat_conversion,[],[f119446]) ).
cnf(s5908,plain,
( spl0_16
| spl0_17
| spl0_3582 ),
inference(sat_conversion,[],[f120101]) ).
cnf(s5950,plain,
( ~ spl0_14
| ~ spl0_17
| spl0_208
| spl0_3663 ),
inference(sat_conversion,[],[f120358]) ).
cnf(s7753,plain,
( spl0_8
| spl0_25
| spl0_26
| ~ spl0_4904 ),
inference(sat_conversion,[],[f148191]) ).
cnf(s7794,plain,
( ~ spl0_4
| ~ spl0_6
| spl0_8
| ~ spl0_14
| ~ spl0_17
| ~ spl0_65
| ~ spl0_206
| spl0_3582
| ~ spl0_3600
| spl0_4904 ),
inference(sat_conversion,[],[f148679]) ).
cnf(s8033,plain,
( ~ spl0_4
| spl0_8
| ~ spl0_14
| spl0_26
| spl0_3600
| ~ spl0_3663 ),
inference(sat_conversion,[],[f149623]) ).
cnf(s8225,plain,
( spl0_16
| ~ spl0_208
| spl0_3582 ),
inference(sat_conversion,[],[f151627]) ).
cnf(s8290,plain,
( spl0_16
| spl0_65
| spl0_3582 ),
inference(sat_conversion,[],[f151891]) ).
cnf(s8944,plain,
( ~ spl0_4
| ~ spl0_16
| ~ spl0_86
| ~ spl0_431
| spl0_4926 ),
inference(sat_conversion,[],[f155421]) ).
cnf(s8988,plain,
( spl0_8
| spl0_101
| spl0_138
| ~ spl0_4926 ),
inference(sat_conversion,[],[f155939]) ).
cnf(s9071,plain,
~ spl0_101,
inference(rat,[],[s333,s18]) ).
cnf(s9073,plain,
~ spl0_33,
inference(rat,[],[s106,s18]) ).
cnf(s9074,plain,
~ spl0_29,
inference(rat,[],[s43,s18]) ).
cnf(s9075,plain,
~ spl0_25,
inference(rat,[],[s685,s18,s9071]) ).
cnf(s9078,plain,
~ spl0_26,
inference(rat,[],[s465,s9071,s9074]) ).
cnf(s9080,plain,
spl0_108,
inference(rat,[],[s303,s9073,s9074]) ).
cnf(s9081,plain,
~ spl0_1,
inference(rat,[],[s291,s9080,s9071,s9074]) ).
cnf(s9092,plain,
spl0_206,
inference(rat,[],[s466,s9078]) ).
cnf(s9095,plain,
spl0_86,
inference(rat,[],[s153,s9078]) ).
cnf(s9100,plain,
~ spl0_4904,
inference(rat,[],[s7753,s9075,s18,s9078]) ).
cnf(s9135,plain,
spl0_6,
inference(rat,[],[s7,s9081]) ).
cnf(s9136,plain,
spl0_4,
inference(rat,[],[s3,s9081]) ).
cnf(s9143,plain,
spl0_3,
inference(rat,[],[s2,s9081]) ).
cnf(s9146,plain,
spl0_103,
inference(rat,[],[s336,s9135,s9143]) ).
cnf(s9148,plain,
~ spl0_15,
inference(rat,[],[s737,s568,s9136,s9135,s18,s9146]) ).
cnf(s9163,plain,
spl0_14,
inference(rat,[],[s15,s9148]) ).
cnf(s9355,plain,
~ spl0_138,
inference(rat,[],[s1051,s18,s9163]) ).
cnf(s10006,plain,
~ spl0_4926,
inference(rat,[],[s8988,s9071,s18,s9355]) ).
cnf(s10270,plain,
spl0_16,
inference(rat,[],[s8033,s7794,s5950,s5908,s8225,s8290,s18,s9078,s9136,s9163,s9135,s9092,s5896,s9100]) ).
cnf(s10271,plain,
~ spl0_431,
inference(rat,[],[s8944,s10006,s9136,s9095,s10270]) ).
cnf(s10356,plain,
$false,
inference(rat,[],[s2607,s9163,s9071,s9078,s9136,s18,s10271,s10270]) ).
fof(f155961,plain,
$false,
inference(avatar_sat_refutation,[],[s10356]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC188-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.37 % Computer : n004.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Mon Sep 28 08:21:37 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 Running first-order model finding
% 0.13/0.40 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
% 18.42/3.08 % (205323)Will run a generic schedule for satisfiability detection.
% 18.42/3.08 % (205343)dis+10_1_sil=32000:sp=arity:random_seed=1109862980:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 18.42/3.08 % (205341)% WARNING: option uhcvi not known.
% 18.42/3.08 % (205340)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=558513702_2999 on theBenchmark for (2999ds/0Mi)
% 18.42/3.08 % (205341)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3399493143:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 18.42/3.08 % (205342)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1469472448:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 18.42/3.08 % (205345)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=109980834:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 18.42/3.08 % (205346)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=140233139:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 18.42/3.08 % (205347)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3316872458:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 18.42/3.09 % TRYING [1]
% 18.42/3.09 % TRYING [2]
% 18.42/3.09 % TRYING [3]
% 18.42/3.09 % (205343)Instruction limit reached!
% 18.42/3.09 % (205343)------------------------------
% 18.42/3.09 % (205343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.42/3.09 % (205343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.42/3.09 % (205343)CaDiCaL version: 2.1.3
% 18.42/3.09 % (205343)Termination reason: Instruction limit
% 18.42/3.09 % (205343)Termination phase: Saturation
% 18.42/3.09 % (205343)Time elapsed: 0.034 s
% 18.42/3.09 % (205343)Peak memory usage: 13 MB
% 18.42/3.09 % (205343)Instructions burned: 105 (million)
% 18.42/3.09 % TRYING [4]
% 18.42/3.09 % (205377)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2113833978:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 18.42/3.09 % TRYING [1]
% 18.42/3.09 % TRYING [2]
% 18.42/3.09 % (205345)Instruction limit reached!
% 18.42/3.09 % (205345)------------------------------
% 18.42/3.09 % (205345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.42/3.09 % (205345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.42/3.09 % (205345)CaDiCaL version: 2.1.3
% 18.42/3.09 % (205345)Termination reason: Instruction limit
% 18.42/3.09 % (205345)Termination phase: Saturation
% 18.42/3.09 % (205345)Time elapsed: 0.059 s
% 18.42/3.09 % (205345)Peak memory usage: 13 MB
% 18.42/3.09 % (205345)Instructions burned: 118 (million)
% 18.42/3.09 % TRYING [3]
% 18.42/3.09 % (205386)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=493514618:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 18.42/3.09 % (205346)Instruction limit reached!
% 18.42/3.09 % (205346)------------------------------
% 18.42/3.09 % (205346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.42/3.09 % (205346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.42/3.09 % (205346)CaDiCaL version: 2.1.3
% 18.42/3.09 % (205346)Termination reason: Instruction limit
% 18.42/3.09 % (205346)Termination phase: Saturation
% 18.42/3.09 % (205346)Time elapsed: 0.081 s
% 18.42/3.09 % (205346)Peak memory usage: 14 MB
% 18.42/3.09 % (205346)Instructions burned: 132 (million)
% 18.42/3.09 % (205347)Instruction limit reached!
% 18.42/3.09 % (205347)------------------------------
% 18.42/3.09 % (205347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.42/3.09 % (205347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.42/3.09 % (205347)CaDiCaL version: 2.1.3
% 18.42/3.09 % (205347)Termination reason: Instruction limit
% 18.42/3.09 % (205347)Termination phase: Saturation
% 18.42/3.09 % (205347)Time elapsed: 0.089 s
% 18.42/3.09 % (205347)Peak memory usage: 14 MB
% 18.42/3.09 % (205347)Instructions burned: 160 (million)
% 18.42/3.09 % TRYING [5]
% 18.42/3.09 % TRYING [4]
% 18.42/3.09 % (205399)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=1909364473:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 18.42/3.09 % (205402)ott-21_1_sil=16000:fs=off:random_seed=1905743123:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 18.42/3.09 % (205386)Instruction limit reached!
% 18.42/3.09 % (205386)------------------------------
% 18.42/3.09 % (205386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.42/3.09 % (205386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.90/5.06 % (205386)CaDiCaL version: 2.1.3
% 15.90/5.06 % (205386)Termination reason: Instruction limit
% 15.90/5.06 % (205386)Termination phase: Saturation
% 15.90/5.06 % (205386)Time elapsed: 0.068 s
% 15.90/5.06 % (205386)Peak memory usage: 13 MB
% 15.90/5.06 % (205386)Instructions burned: 133 (million)
% 15.90/5.06 % TRYING [5]
% 15.90/5.06 % (205414)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1822622388:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 15.90/5.06 % (205402)Instruction limit reached!
% 15.90/5.06 % (205402)------------------------------
% 15.90/5.06 % (205402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.90/5.06 % (205402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.90/5.06 % (205402)CaDiCaL version: 2.1.3
% 15.90/5.06 % (205402)Termination reason: Instruction limit
% 15.90/5.06 % (205402)Termination phase: Saturation
% 15.90/5.06 % (205402)Time elapsed: 0.089 s
% 15.90/5.06 % (205402)Peak memory usage: 13 MB
% 15.90/5.06 % (205402)Instructions burned: 180 (million)
% 15.90/5.06 % (205426)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=834244816:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 15.90/5.06 % TRYING [1]
% 15.90/5.06 % TRYING [2]
% 15.90/5.06 % TRYING [3]
% 15.90/5.06 % TRYING [6]
% 15.90/5.06 % (205377)Instruction limit reached!
% 15.90/5.06 % (205377)------------------------------
% 15.90/5.06 % (205377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.90/5.06 % (205377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.90/5.06 % (205377)CaDiCaL version: 2.1.3
% 15.90/5.06 % (205377)Termination reason: Instruction limit
% 15.90/5.06 % (205377)Termination phase: Finite model building constraint generation
% 15.90/5.06 % (205377)Time elapsed: 0.211 s
% 15.90/5.06 % (205377)Peak memory usage: 34 MB
% 15.90/5.06 % (205377)Instructions burned: 717 (million)
% 15.90/5.06 % TRYING [6]
% 15.90/5.06 % (205428)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3249669293:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 15.90/5.06 % TRYING [4]
% 15.90/5.06 % TRYING [5]
% 15.90/5.06 % (205399)Instruction limit reached!
% 15.90/5.06 % (205399)------------------------------
% 15.90/5.06 % (205399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.90/5.06 % (205399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.90/5.06 % (205399)CaDiCaL version: 2.1.3
% 15.90/5.06 % (205399)Termination reason: Instruction limit
% 15.90/5.06 % (205399)Termination phase: Saturation
% 15.90/5.06 % (205399)Time elapsed: 0.375 s
% 15.90/5.06 % (205399)Peak memory usage: 21 MB
% 15.90/5.06 % (205399)Instructions burned: 684 (million)
% 15.90/5.06 % (205443)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=430070926:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 15.90/5.06 % (205414)Instruction limit reached!
% 15.90/5.06 % (205414)------------------------------
% 15.90/5.06 % (205414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.90/5.06 % (205414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.90/5.06 % (205414)CaDiCaL version: 2.1.3
% 15.90/5.06 % (205414)Termination reason: Instruction limit
% 15.90/5.06 % (205414)Termination phase: Saturation
% 15.90/5.06 % (205414)Time elapsed: 0.343 s
% 15.90/5.06 % (205414)Peak memory usage: 15 MB
% 15.90/5.06 % (205414)Instructions burned: 478 (million)
% 15.90/5.06 % (205445)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=3136290978: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)
% 15.90/5.06 % (205426)Instruction limit reached!
% 15.90/5.06 % (205426)------------------------------
% 15.90/5.06 % (205426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.90/5.06 % (205426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.90/5.06 % (205426)CaDiCaL version: 2.1.3
% 15.90/5.06 % (205426)Termination reason: Instruction limit
% 15.90/5.06 % (205426)Termination phase: Finite model building SAT solving
% 15.90/5.06 % (205426)Time elapsed: 0.337 s
% 15.90/5.06 % (205426)Peak memory usage: 22 MB
% 15.90/5.06 % (205426)Instructions burned: 867 (million)
% 15.90/5.06 % (205447)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4131309491:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 15.90/5.06 % TRYING [14]
% 15.90/5.06 % TRYING [7]
% 15.90/5.06 % (205428)Instruction limit reached!
% 15.90/5.06 % (205428)------------------------------
% 15.90/5.06 % (205428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.90/5.06 % (205428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.90/5.06 % (205428)CaDiCaL version: 2.1.3
% 15.90/5.06 % (205428)Termination reason: Instruction limit
% 15.90/5.06 % (205428)Termination phase: Saturation
% 15.90/5.06 % (205428)Time elapsed: 0.462 s
% 15.90/5.06 % (205428)Peak memory usage: 26 MB
% 15.90/5.06 % (205428)Instructions burned: 1179 (million)
% 15.90/5.06 % (205449)fmb+10_1_sil=64000:random_seed=173356181:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 15.90/5.06 % TRYING [1]
% 15.90/5.06 % TRYING [2]
% 15.90/5.06 % TRYING [3]
% 15.90/5.06 % (205443)Instruction limit reached!
% 15.90/5.06 % (205443)------------------------------
% 15.90/5.06 % (205443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.90/5.06 % (205443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.90/5.06 % (205443)CaDiCaL version: 2.1.3
% 15.90/5.06 % (205443)Termination reason: Instruction limit
% 15.90/5.06 % (205443)Termination phase: Finite model building constraint generation
% 15.90/5.06 % (205443)Time elapsed: 0.322 s
% 15.90/5.06 % (205443)Peak memory usage: 72 MB
% 15.90/5.06 % (205443)Instructions burned: 890 (million)
% 15.90/5.06 % TRYING [4]
% 15.90/5.06 % (205451)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1033791586:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 15.90/5.06 % TRYING [20]
% 15.90/5.06 % (205445)Instruction limit reached!
% 15.90/5.06 % (205445)------------------------------
% 15.90/5.06 % (205445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.90/5.06 % (205445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.90/5.06 % (205445)CaDiCaL version: 2.1.3
% 15.90/5.06 % (205445)Termination reason: Instruction limit
% 15.90/5.06 % (205445)Termination phase: Saturation
% 15.90/5.06 % (205445)Time elapsed: 0.433 s
% 15.90/5.06 % (205445)Peak memory usage: 20 MB
% 15.90/5.06 % (205445)Instructions burned: 693 (million)
% 15.90/5.06 % (205462)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2409619855:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 15.90/5.06 % TRYING [8]
% 15.90/5.06 % (205447)Instruction limit reached!
% 15.90/5.06 % (205447)------------------------------
% 15.90/5.06 % (205447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.90/5.06 % (205447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.90/5.06 % (205447)CaDiCaL version: 2.1.3
% 15.90/5.06 % (205447)Termination reason: Instruction limit
% 15.90/5.06 % (205447)Termination phase: Saturation
% 15.90/5.06 % (205447)Time elapsed: 0.489 s
% 15.90/5.06 % (205447)Peak memory usage: 20 MB
% 15.90/5.06 % (205447)Instructions burned: 880 (million)
% 15.90/5.06 % (205471)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2682425822:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 15.90/5.06 % TRYING [5]
% 15.90/5.06 % (205462)Instruction limit reached!
% 15.90/5.06 % (205462)------------------------------
% 15.90/5.06 % (205462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.90/5.06 % (205462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.90/5.06 % (205462)CaDiCaL version: 2.1.3
% 15.90/5.06 % (205462)Termination reason: Instruction limit
% 15.90/5.06 % (205462)Termination phase: Finite model building constraint generation
% 15.90/5.06 % (205462)Time elapsed: 0.563 s
% 15.90/5.06 % (205462)Peak memory usage: 79 MB
% 15.90/5.06 % (205462)Instructions burned: 921 (million)
% 15.90/5.06 % (205481)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2882762298:i=1472:ins=7:fdi=8:gsp=on_2983 on theBenchmark for (2983ds/1472Mi)
% 15.90/5.06 % TRYING [6]
% 15.90/5.06 % TRYING [8]
% 15.90/5.06 % (205481)Instruction limit reached!
% 15.90/5.06 % (205481)------------------------------
% 15.90/5.06 % (205481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.90/5.06 % (205481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.90/5.06 % (205481)CaDiCaL version: 2.1.3
% 15.90/5.06 % (205481)Termination reason: Instruction limit
% 15.90/5.06 % (205481)Termination phase: Saturation
% 15.90/5.06 % (205481)Time elapsed: 0.723 s
% 15.90/5.06 % (205481)Peak memory usage: 16 MB
% 15.90/5.06 % (205481)Instructions burned: 1474 (million)
% 15.90/5.06 % (205595)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=176335131:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 15.90/5.06 % TRYING [77]
% 15.90/5.06 % TRYING [7]
% 15.90/5.06 % (205471)Instruction limit reached!
% 15.90/5.06 % (205471)------------------------------
% 15.90/5.06 % (205471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.90/5.06 % (205471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.90/5.06 % (205471)CaDiCaL version: 2.1.3
% 15.90/5.06 % (205471)Termination reason: Instruction limit
% 15.90/5.06 % (205471)Termination phase: Saturation
% 15.90/5.06 % (205471)Time elapsed: 1.541 s
% 15.90/5.06 % (205471)Peak memory usage: 53 MB
% 15.90/5.06 % (205471)Instructions burned: 5137 (million)
% 15.90/5.06 % (205638)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1176535201:fmbsr=2.30978:i=2174_2973 on theBenchmark for (2973ds/2174Mi)
% 15.90/5.06 % TRYING [16]
% 15.90/5.06 % (205638)Instruction limit reached!
% 15.90/5.06 % (205638)------------------------------
% 15.90/5.06 % (205638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.90/5.06 % (205638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.90/5.06 % (205638)CaDiCaL version: 2.1.3
% 15.90/5.06 % (205638)Termination reason: Instruction limit
% 15.90/5.06 % (205638)Termination phase: Finite model building constraint generation
% 15.90/5.06 % (205638)Time elapsed: 0.413 s
% 15.90/5.06 % (205638)Peak memory usage: 138 MB
% 15.90/5.06 % (205638)Instructions burned: 2180 (million)
% 15.90/5.06 % (205640)ott-2_1_sil=16000:newcnf=on:random_seed=987529863:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2968 on theBenchmark for (2968ds/869Mi)
% 15.90/5.06 % (205640)Instruction limit reached!
% 15.90/5.06 % (205640)------------------------------
% 15.90/5.06 % (205640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.90/5.06 % (205640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.90/5.06 % (205640)CaDiCaL version: 2.1.3
% 15.90/5.06 % (205640)Termination reason: Instruction limit
% 15.90/5.06 % (205640)Termination phase: Saturation
% 15.90/5.06 % (205640)Time elapsed: 0.240 s
% 15.90/5.06 % (205640)Peak memory usage: 23 MB
% 15.90/5.06 % (205640)Instructions burned: 870 (million)
% 15.90/5.06 % (205642)ott+10_1_sil=32000:tgt=ground:random_seed=3772334097:i=5114:av=off_2966 on theBenchmark for (2966ds/5114Mi)
% 15.90/5.06 % TRYING [9]
% 15.90/5.06 % TRYING [8]
% 15.90/5.06 % (205451)Instruction limit reached!
% 15.90/5.06 % (205451)------------------------------
% 15.90/5.06 % (205451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.90/5.06 % (205451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.90/5.06 % (205451)CaDiCaL version: 2.1.3
% 15.90/5.06 % (205451)Termination reason: Instruction limit
% 15.90/5.06 % (205451)Termination phase: Finite model building constraint generation
% 15.90/5.06 % (205451)Time elapsed: 3.584 s
% 15.90/5.06 % (205451)Peak memory usage: 588 MB
% 15.90/5.06 % (205451)Instructions burned: 9517 (million)
% 15.90/5.06 % (205341) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-205323-205341"...
% 15.90/5.06 % (205644)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3790946116:i=54282_2954 on theBenchmark for (2954ds/54282Mi)
% 15.90/5.06 % (205341)...printing done.
% 15.90/5.06 % TRYING [1]
% 15.90/5.06 % (205341)Refutation found. Thanks to Tanya!
% 15.90/5.06 % SZS status Unsatisfiable for theBenchmark
% 15.90/5.06 % SZS output start Proof for theBenchmark
% See solution above
% 15.90/5.07 % (205341)------------------------------
% 15.90/5.07 % (205341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.90/5.07 % (205341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.90/5.07 % (205341)CaDiCaL version: 2.1.3
% 15.90/5.07 % (205341)Termination reason: Refutation
% 15.90/5.07 % (205341)Time elapsed: 4.540 s
% 15.90/5.07 % (205341)Peak memory usage: 77 MB
% 15.90/5.07 % (205341)Instructions burned: 7926 (million)
% 15.90/5.07 % (205323)Success in time 4.652 s
% 15.90/5.07 % Vampire exiting
%------------------------------------------------------------------------------