%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC164-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 : Thu Sep 24 02:40:13 PM UTC 2026
% Result : Unsatisfiable 40.70s 6.06s
% Output : CNFRefutation 42.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 369
% Syntax : Number of formulae : 1374 ( 76 unt; 290 def)
% Number of atoms : 5510 ( 557 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 7919 (3783 ~;3846 |; 0 &)
% ( 290 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 301 ( 299 usr; 291 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 9 con; 0-2 aty)
% Number of variables : 765 ( 765 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [U] : ssItem(skaf83(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [U] : ssList(skaf82(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [U] : ssList(skaf80(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [U] : ssList(skaf77(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [U] : ssItem(skaf74(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [U] : ssList(skaf53(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [U] : ssList(skaf52(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [U] : ssList(skaf51(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [U] : ssItem(skaf50(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,axiom,
! [U] : ssItem(skaf49(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [U] : ssItem(skaf44(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,axiom,
! [U,V] : ssList(skaf46(U,V)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,axiom,
! [U,V] : ssList(skaf45(U,V)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [U] :
( segmentP(U,nil)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,axiom,
! [U] :
( segmentP(U,U)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,axiom,
! [U] :
( rearsegP(U,nil)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,axiom,
! [U] :
( rearsegP(U,U)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,axiom,
! [U] :
( frontsegP(U,nil)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f61,axiom,
! [U] :
( frontsegP(U,U)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f71,axiom,
! [U] :
( ~ ssItem(U)
| ~ memberP(nil,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f72,axiom,
! [U,V] :
( ssItem(V)
| duplicatefreeP(U)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f73,axiom,
! [U] :
( app(U,nil) = U
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,axiom,
! [U] :
( app(nil,U) = U
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f75,axiom,
! [U] :
( nil = U
| ssList(tl(U))
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f76,axiom,
! [U] :
( nil = U
| ssItem(hd(U))
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f85,axiom,
! [U,V] :
( ssList(app(V,U))
| ~ ssList(V)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f86,axiom,
! [U,V] :
( ssList(cons(U,V))
| ~ ssList(V)
| ~ ssItem(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,axiom,
! [U,V] :
( tl(cons(U,V)) = V
| ~ ssList(V)
| ~ ssItem(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f98,axiom,
! [U,V] :
( ~ ssList(V)
| ~ ssItem(U)
| cons(U,V) != nil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f99,axiom,
! [U,V] :
( ~ ssList(V)
| ~ ssItem(U)
| cons(U,V) != V ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f102,axiom,
! [U,V] :
( V = U
| neq(V,U)
| ~ ssItem(V)
| ~ ssItem(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f104,axiom,
! [U] :
( nil = U
| cons(hd(U),tl(U)) = U
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f118,axiom,
! [U,V] :
( nil = U
| ~ ssList(U)
| ~ ssList(V)
| app(U,V) != nil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f119,axiom,
! [U,V] :
( nil = V
| ~ ssList(U)
| ~ ssList(V)
| app(U,V) != nil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f120,axiom,
! [U,V] :
( app(cons(U,nil),V) = cons(U,V)
| ~ ssList(V)
| ~ ssItem(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f123,axiom,
! [U,V] :
( hd(app(V,U)) = hd(V)
| nil = V
| ~ ssList(V)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f127,axiom,
! [U,V] :
( V = U
| ~ ssList(V)
| ~ ssList(U)
| ~ segmentP(V,U)
| ~ segmentP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f128,axiom,
! [U,V] :
( V = U
| ~ ssList(V)
| ~ ssList(U)
| ~ rearsegP(V,U)
| ~ rearsegP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f129,axiom,
! [U,V] :
( V = U
| ~ ssList(V)
| ~ ssList(U)
| ~ frontsegP(V,U)
| ~ frontsegP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f131,axiom,
! [U,V] :
( app(skaf46(U,V),V) = U
| ~ ssList(U)
| ~ ssList(V)
| ~ rearsegP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f132,axiom,
! [U,V] :
( app(V,skaf45(U,V)) = U
| ~ ssList(U)
| ~ ssList(V)
| ~ frontsegP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f136,axiom,
! [U,V,W] :
( rearsegP(app(W,U),V)
| ~ ssList(U)
| ~ ssList(V)
| ~ ssList(W)
| ~ rearsegP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f137,axiom,
! [U,V,W] :
( frontsegP(app(U,W),V)
| ~ ssList(U)
| ~ ssList(V)
| ~ ssList(W)
| ~ frontsegP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f138,axiom,
! [U,V,W] :
( memberP(cons(V,W),U)
| ~ ssItem(U)
| ~ ssItem(V)
| ~ ssList(W)
| U != V ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f139,axiom,
! [U,V,W] :
( memberP(cons(W,U),V)
| ~ ssItem(V)
| ~ ssItem(W)
| ~ ssList(U)
| ~ memberP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f140,axiom,
! [U,V,W] :
( memberP(app(U,W),V)
| ~ ssItem(V)
| ~ ssList(U)
| ~ ssList(W)
| ~ memberP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f141,axiom,
! [U,V,W] :
( memberP(app(W,U),V)
| ~ ssItem(V)
| ~ ssList(W)
| ~ ssList(U)
| ~ memberP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f143,axiom,
! [U,V,W] :
( rearsegP(W,V)
| ~ ssList(W)
| ~ ssList(V)
| ~ ssList(U)
| app(U,V) != W ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f144,axiom,
! [U,V,W] :
( frontsegP(W,U)
| ~ ssList(W)
| ~ ssList(U)
| ~ ssList(V)
| app(U,V) != W ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f149,axiom,
! [U,V,W] :
( app(app(W,V),U) = app(W,app(V,U))
| ~ ssList(W)
| ~ ssList(V)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f150,axiom,
! [U,V,W] :
( V = W
| ~ ssList(W)
| ~ ssList(U)
| ~ ssList(V)
| app(U,V) != app(U,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f151,axiom,
! [U,V,W] :
( U = W
| ~ ssList(W)
| ~ ssList(V)
| ~ ssList(U)
| app(U,V) != app(W,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f152,axiom,
! [U,V,W] :
( segmentP(U,W)
| ~ ssList(U)
| ~ ssList(V)
| ~ ssList(W)
| ~ segmentP(V,W)
| ~ segmentP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f153,axiom,
! [U,V,W] :
( rearsegP(U,W)
| ~ ssList(U)
| ~ ssList(V)
| ~ ssList(W)
| ~ rearsegP(V,W)
| ~ rearsegP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f154,axiom,
! [U,V,W] :
( frontsegP(U,W)
| ~ ssList(U)
| ~ ssList(V)
| ~ ssList(W)
| ~ frontsegP(V,W)
| ~ frontsegP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f157,axiom,
! [U,V,W] :
( cons(U,app(V,W)) = app(cons(U,V),W)
| ~ ssList(W)
| ~ ssList(V)
| ~ ssItem(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f158,axiom,
! [U,V,W] :
( memberP(U,W)
| memberP(V,W)
| ~ ssItem(W)
| ~ ssList(U)
| ~ ssList(V)
| ~ memberP(app(U,V),W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f161,axiom,
! [U,V,W] :
( W = U
| memberP(V,W)
| ~ ssItem(W)
| ~ ssItem(U)
| ~ ssList(V)
| ~ memberP(cons(U,V),W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f168,axiom,
! [U,V] :
( app(app(skaf47(U,V),V),skaf48(V,U)) = U
| ~ ssList(U)
| ~ ssList(V)
| ~ segmentP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f170,axiom,
! [U,V,W,X] :
( U = W
| ~ ssList(V)
| ~ ssList(X)
| ~ ssItem(U)
| ~ ssItem(W)
| cons(U,V) != cons(W,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f172,axiom,
! [U,V,W,X] :
( segmentP(app(app(X,U),W),V)
| ~ ssList(U)
| ~ ssList(V)
| ~ ssList(X)
| ~ ssList(W)
| ~ segmentP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f173,axiom,
! [U,V,W,X] :
( segmentP(X,V)
| ~ ssList(X)
| ~ ssList(V)
| ~ ssList(U)
| ~ ssList(W)
| app(app(U,V),W) != X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f176,axiom,
! [U,V,W,X] :
( U = W
| ~ ssItem(U)
| ~ ssItem(W)
| ~ ssList(V)
| ~ ssList(X)
| ~ frontsegP(cons(U,V),cons(W,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f178,axiom,
! [U,V,W,X] :
( frontsegP(cons(W,U),cons(X,V))
| ~ ssItem(W)
| ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(V)
| W != X
| ~ frontsegP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f188,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f189,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
~ neq(sk5,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f198,negated_conjecture,
( nil = sk4
| ssItem(sk9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f199,negated_conjecture,
( nil = sk3
| ssItem(sk9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f200,negated_conjecture,
( nil = sk4
| cons(sk9,nil) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f203,negated_conjecture,
( nil = sk3
| cons(sk9,nil) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f213,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f216,plain,
~ singletonP(nil),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f217,plain,
! [X0] : ssItem(skaf83(X0)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f218,plain,
! [X0] : ssList(skaf82(X0)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f220,plain,
! [X0] : ssList(skaf80(X0)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f223,plain,
! [X0] : ssList(skaf77(X0)),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f226,plain,
! [X0] : ssItem(skaf74(X0)),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f247,plain,
! [X0] : ssList(skaf53(X0)),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f248,plain,
! [X0] : ssList(skaf52(X0)),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f249,plain,
! [X0] : ssList(skaf51(X0)),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f250,plain,
! [X0] : ssItem(skaf50(X0)),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f251,plain,
! [X0] : ssItem(skaf49(X0)),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f252,plain,
! [X0] : ssItem(skaf44(X0)),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f255,plain,
! [X0,X1] : ssList(skaf46(X0,X1)),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f256,plain,
! [X0,X1] : ssList(skaf45(X0,X1)),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f261,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f262,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f263,plain,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f264,plain,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f265,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f266,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f276,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f277,plain,
( ! [V] : ssItem(V)
| ! [U] :
( duplicatefreeP(U)
| ~ ssList(U) ) ),
inference(miniscoping,[status(thm)],[f72]) ).
fof(f278,plain,
! [X0,X1] :
( ssItem(X1)
| duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f277]) ).
fof(f279,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f280,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f281,plain,
! [X0] :
( nil = X0
| ssList(tl(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f282,plain,
! [X0] :
( nil = X0
| ssItem(hd(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f291,plain,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f292,plain,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f302,plain,
! [X0,X1] :
( tl(cons(X0,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f304,plain,
! [V] :
( ~ ssList(V)
| ! [U] :
( ~ ssItem(U)
| cons(U,V) != nil ) ),
inference(miniscoping,[status(thm)],[f98]) ).
fof(f305,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != nil ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f306,plain,
! [V] :
( ~ ssList(V)
| ! [U] :
( ~ ssItem(U)
| cons(U,V) != V ) ),
inference(miniscoping,[status(thm)],[f99]) ).
fof(f307,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != X1 ),
inference(cnf_transformation,[status(thm)],[f306]) ).
fof(f310,plain,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f312,plain,
! [X0] :
( nil = X0
| cons(hd(X0),tl(X0)) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f332,plain,
! [U] :
( nil = U
| ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| app(U,V) != nil ) ),
inference(miniscoping,[status(thm)],[f118]) ).
fof(f333,plain,
! [X0,X1] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
inference(cnf_transformation,[status(thm)],[f332]) ).
fof(f334,plain,
! [V] :
( nil = V
| ! [U] :
( ~ ssList(U)
| ~ ssList(V)
| app(U,V) != nil ) ),
inference(miniscoping,[status(thm)],[f119]) ).
fof(f335,plain,
! [X0,X1] :
( nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
inference(cnf_transformation,[status(thm)],[f334]) ).
fof(f336,plain,
! [X0,X1] :
( app(cons(X0,nil),X1) = cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f339,plain,
! [X0,X1] :
( hd(app(X1,X0)) = hd(X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f345,plain,
! [X0,X1] :
( X1 = X0
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f346,plain,
! [X0,X1] :
( X1 = X0
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f347,plain,
! [X0,X1] :
( X1 = X0
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f349,plain,
! [X0,X1] :
( app(skaf46(X0,X1),X1) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f350,plain,
! [X0,X1] :
( app(X1,skaf45(X0,X1)) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f132]) ).
fof(f356,plain,
! [X0,X1,X2] :
( rearsegP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f357,plain,
! [X0,X1,X2] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f358,plain,
! [X0,X1,X2] :
( memberP(cons(X1,X2),X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f138]) ).
fof(f359,plain,
! [X0,X1,X2] :
( memberP(cons(X2,X0),X1)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f360,plain,
! [X0,X1,X2] :
( memberP(app(X0,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f140]) ).
fof(f361,plain,
! [X0,X1,X2] :
( memberP(app(X2,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f363,plain,
! [V,W] :
( rearsegP(W,V)
| ~ ssList(W)
| ~ ssList(V)
| ! [U] :
( ~ ssList(U)
| app(U,V) != W ) ),
inference(miniscoping,[status(thm)],[f143]) ).
fof(f364,plain,
! [X0,X1,X2] :
( rearsegP(X2,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) != X2 ),
inference(cnf_transformation,[status(thm)],[f363]) ).
fof(f365,plain,
! [U,W] :
( frontsegP(W,U)
| ~ ssList(W)
| ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| app(U,V) != W ) ),
inference(miniscoping,[status(thm)],[f144]) ).
fof(f366,plain,
! [X0,X1,X2] :
( frontsegP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != X2 ),
inference(cnf_transformation,[status(thm)],[f365]) ).
fof(f374,plain,
! [X0,X1,X2] :
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f375,plain,
! [V,W] :
( V = W
| ~ ssList(W)
| ! [U] :
( ~ ssList(U)
| ~ ssList(V)
| app(U,V) != app(U,W) ) ),
inference(miniscoping,[status(thm)],[f150]) ).
fof(f376,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != app(X0,X2) ),
inference(cnf_transformation,[status(thm)],[f375]) ).
fof(f377,plain,
! [U,W] :
( U = W
| ~ ssList(W)
| ! [V] :
( ~ ssList(V)
| ~ ssList(U)
| app(U,V) != app(W,V) ) ),
inference(miniscoping,[status(thm)],[f151]) ).
fof(f378,plain,
! [X0,X1,X2] :
( X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) != app(X2,X1) ),
inference(cnf_transformation,[status(thm)],[f377]) ).
fof(f379,plain,
! [U,W] :
( segmentP(U,W)
| ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| ~ ssList(W)
| ~ segmentP(V,W)
| ~ segmentP(U,V) ) ),
inference(miniscoping,[status(thm)],[f152]) ).
fof(f380,plain,
! [X0,X1,X2] :
( segmentP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f379]) ).
fof(f381,plain,
! [U,W] :
( rearsegP(U,W)
| ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| ~ ssList(W)
| ~ rearsegP(V,W)
| ~ rearsegP(U,V) ) ),
inference(miniscoping,[status(thm)],[f153]) ).
fof(f382,plain,
! [X0,X1,X2] :
( rearsegP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f381]) ).
fof(f383,plain,
! [U,W] :
( frontsegP(U,W)
| ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| ~ ssList(W)
| ~ frontsegP(V,W)
| ~ frontsegP(U,V) ) ),
inference(miniscoping,[status(thm)],[f154]) ).
fof(f384,plain,
! [X0,X1,X2] :
( frontsegP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f383]) ).
fof(f389,plain,
! [X0,X1,X2] :
( cons(X0,app(X1,X2)) = app(cons(X0,X1),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f390,plain,
! [U,W] :
( memberP(U,W)
| ! [V] :
( memberP(V,W)
| ~ ssItem(W)
| ~ ssList(U)
| ~ ssList(V)
| ~ memberP(app(U,V),W) ) ),
inference(miniscoping,[status(thm)],[f158]) ).
fof(f391,plain,
! [X0,X1,X2] :
( memberP(X0,X2)
| memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ memberP(app(X0,X1),X2) ),
inference(cnf_transformation,[status(thm)],[f390]) ).
fof(f396,plain,
! [U,W] :
( W = U
| ! [V] :
( memberP(V,W)
| ~ ssItem(W)
| ~ ssItem(U)
| ~ ssList(V)
| ~ memberP(cons(U,V),W) ) ),
inference(miniscoping,[status(thm)],[f161]) ).
fof(f397,plain,
! [X0,X1,X2] :
( X2 = X0
| memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ memberP(cons(X0,X1),X2) ),
inference(cnf_transformation,[status(thm)],[f396]) ).
fof(f404,plain,
! [X0,X1] :
( app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f406,plain,
! [U,W] :
( U = W
| ! [V] :
( ~ ssList(V)
| ! [X] :
( ~ ssList(X)
| ~ ssItem(U)
| ~ ssItem(W)
| cons(U,V) != cons(W,X) ) ) ),
inference(miniscoping,[status(thm)],[f170]) ).
fof(f407,plain,
! [X0,X1,X2,X3] :
( X0 = X2
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X0)
| ~ ssItem(X2)
| cons(X0,X1) != cons(X2,X3) ),
inference(cnf_transformation,[status(thm)],[f406]) ).
fof(f410,plain,
! [X0,X1,X2,X3] :
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f411,plain,
! [V,X] :
( segmentP(X,V)
| ~ ssList(X)
| ~ ssList(V)
| ! [U] :
( ~ ssList(U)
| ! [W] :
( ~ ssList(W)
| app(app(U,V),W) != X ) ) ),
inference(miniscoping,[status(thm)],[f173]) ).
fof(f412,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| app(app(X0,X1),X2) != X3 ),
inference(cnf_transformation,[status(thm)],[f411]) ).
fof(f417,plain,
! [U,W] :
( U = W
| ~ ssItem(U)
| ~ ssItem(W)
| ! [V] :
( ~ ssList(V)
| ! [X] :
( ~ ssList(X)
| ~ frontsegP(cons(U,V),cons(W,X)) ) ) ),
inference(miniscoping,[status(thm)],[f176]) ).
fof(f418,plain,
! [X0,X1,X2,X3] :
( X0 = X2
| ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f421,plain,
! [X0,X1,X2,X3] :
( frontsegP(cons(X2,X0),cons(X3,X1))
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ ssList(X0)
| ~ ssList(X1)
| X2 != X3
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f438,plain,
ssList(sk3),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f439,plain,
ssList(sk4),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f441,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f442,plain,
ssItem(sk5),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f443,plain,
ssItem(sk6),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f444,plain,
ssList(sk7),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f445,plain,
ssList(sk8),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f446,plain,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f447,plain,
~ neq(sk5,sk6),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f448,plain,
( nil = sk4
| ssItem(sk9) ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f449,plain,
( nil = sk3
| ssItem(sk9) ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f450,plain,
( nil = sk4
| cons(sk9,nil) = sk3 ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f454,plain,
( nil = sk3
| cons(sk9,nil) = sk3 ),
inference(cnf_transformation,[status(thm)],[f203]) ).
fof(f458,definition,
! [X0] :
( sQ0_spl
<=> ( duplicatefreeP(X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f459,plain,
! [X0] :
( ~ sQ0_spl
| duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,definition,
! [X1] :
( sQ1_spl
<=> ssItem(X1) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f462,plain,
! [X0] :
( ~ sQ1_spl
| ssItem(X0) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f278,f458,f461]) ).
fof(f465,definition,
( sQ2_spl
<=> ssItem(sk9) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f468,definition,
( sQ3_spl
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f469,plain,
( ~ sQ3_spl
| nil = sk4 ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f448,f465,f468]) ).
fof(f472,definition,
( sQ4_spl
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f473,plain,
( ~ sQ4_spl
| nil = sk3 ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,plain,
( sQ4_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f449,f465,f472]) ).
fof(f476,definition,
( sQ5_spl
<=> cons(sk9,nil) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( ~ sQ5_spl
| cons(sk9,nil) = sk3 ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,plain,
( sQ3_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f450,f476,f468]) ).
fof(f488,plain,
( sQ4_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f454,f476,f472]) ).
fof(f503,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(destructive_equality_resolution,[status(thm)],[f358]) ).
fof(f504,plain,
! [X0,X1] :
( memberP(cons(X1,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f503]) ).
fof(f505,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f364]) ).
fof(f506,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f505,f291]) ).
fof(f507,plain,
! [X1,X0] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(destructive_equality_resolution,[status(thm)],[f366]) ).
fof(f508,plain,
! [X0,X1] :
( frontsegP(app(X1,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f507,f291]) ).
fof(f511,plain,
! [X0,X1,X2] :
( segmentP(app(app(X1,X2),X0),X2)
| ~ ssList(app(app(X1,X2),X0))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f412]) ).
fof(f513,plain,
! [X0,X1,X3] :
( frontsegP(cons(X3,X0),cons(X3,X1))
| ~ ssItem(X3)
| ~ ssItem(X3)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f421]) ).
fof(f514,plain,
! [X0,X1,X2] :
( frontsegP(cons(X2,X0),cons(X2,X1))
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f513]) ).
fof(f524,plain,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk3,
inference(forward_demodulation,[status(thm)],[f441,f446]) ).
fof(f628,definition,
( sQ8_spl
<=> ssList(sk4) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f630,plain,
( sQ8_spl
| ~ ssList(sk4) ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f635,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f630,f439]) ).
fof(f636,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f635]) ).
fof(f637,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| cons(sk9,sk3) = sk3 ),
inference(backward_demodulation,[status(thm)],[f473,f477]) ).
fof(f656,definition,
( sQ12_spl
<=> sk5 = sk6 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f657,plain,
( ~ sQ12_spl
| sk5 = sk6 ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f660,plain,
( ~ sQ12_spl
| ~ neq(sk6,sk6) ),
inference(backward_demodulation,[status(thm)],[f657,f447]) ).
fof(f665,plain,
( ~ sQ12_spl
| sk6 = sk6
| ~ ssItem(sk6)
| ~ ssItem(sk6) ),
inference(resolution,[status(thm)],[f660,f310]) ).
fof(f667,definition,
( sQ13_spl
<=> ssItem(sk6) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f669,plain,
( sQ13_spl
| ~ ssItem(sk6) ),
inference(component_clause,[status(thm)],[f667]) ).
fof(f670,definition,
( sQ14_spl
<=> sk6 = sk6 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f673,plain,
( ~ sQ12_spl
| sQ14_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f665,f667,f670,f656]) ).
fof(f675,plain,
( sk5 = sk6
| ~ ssItem(sk5)
| ~ ssItem(sk6) ),
inference(resolution,[status(thm)],[f447,f310]) ).
fof(f677,definition,
( sQ15_spl
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f679,plain,
( sQ15_spl
| ~ ssItem(sk5) ),
inference(component_clause,[status(thm)],[f677]) ).
fof(f680,plain,
( sQ12_spl
| ~ sQ15_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f675,f667,f677,f656]) ).
fof(f682,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f669,f443]) ).
fof(f683,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f682]) ).
fof(f684,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f679,f442]) ).
fof(f685,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f684]) ).
fof(f698,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ ssList(sk3)
| ~ ssItem(sk9) ),
inference(resolution,[status(thm)],[f637,f307]) ).
fof(f701,definition,
( sQ17_spl
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f703,plain,
( sQ17_spl
| ~ ssList(sk3) ),
inference(component_clause,[status(thm)],[f701]) ).
fof(f704,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f698,f465,f701,f472,f476]) ).
fof(f705,definition,
( sQ18_spl
<=> sk3 = sk3 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f707,plain,
( sQ18_spl
| sk3 != sk3 ),
inference(component_clause,[status(thm)],[f705]) ).
fof(f710,plain,
( sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f703,f438]) ).
fof(f711,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f710]) ).
fof(f713,plain,
( ~ sQ12_spl
| app(app(app(sk7,cons(sk6,nil)),cons(sk6,nil)),sk8) = sk3 ),
inference(forward_demodulation,[status(thm)],[f657,f524]) ).
fof(f747,plain,
! [X0] :
( ~ sQ3_spl
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_demodulation,[status(thm)],[f469,f276]) ).
fof(f776,definition,
( sQ20_spl
<=> sk3 = sk4 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f777,plain,
( ~ sQ20_spl
| sk3 = sk4 ),
inference(component_clause,[status(thm)],[f776]) ).
fof(f778,plain,
( sQ20_spl
| sk3 != sk4 ),
inference(component_clause,[status(thm)],[f776]) ).
fof(f782,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| sk4 = sk3 ),
inference(forward_demodulation,[status(thm)],[f469,f473]) ).
fof(f783,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f782,f778]) ).
fof(f784,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f783]) ).
fof(f877,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ ssList(X0)
| ~ ssList(X1)
| duplicatefreeP(app(X0,X1)) ),
inference(resolution,[status(thm)],[f459,f291]) ).
fof(f891,definition,
! [X0] :
( sQ21_spl
<=> ( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ memberP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f894,definition,
( sQ22_spl
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f896,plain,
( sQ22_spl
| ~ ssList(nil) ),
inference(component_clause,[status(thm)],[f894]) ).
fof(f901,plain,
( sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f896,f213]) ).
fof(f902,plain,
sQ22_spl,
inference(contradiction_clause,[status(thm)],[f901]) ).
fof(f904,definition,
( sQ23_spl
<=> duplicatefreeP(sk3) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f916,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ ssList(X1)
| cons(X0,X1) != X1 ),
inference(backward_subsumption_resolution,[status(thm)],[f307,f462]) ).
fof(f1003,plain,
( ~ sQ12_spl
| frontsegP(sk3,app(app(sk7,cons(sk6,nil)),cons(sk6,nil)))
| ~ ssList(app(app(sk7,cons(sk6,nil)),cons(sk6,nil)))
| ~ ssList(sk8) ),
inference(paramodulation,[status(thm)],[f713,f508]) ).
fof(f1004,plain,
( ~ sQ12_spl
| rearsegP(sk3,sk8)
| ~ ssList(sk8)
| ~ ssList(app(app(sk7,cons(sk6,nil)),cons(sk6,nil))) ),
inference(paramodulation,[status(thm)],[f713,f506]) ).
fof(f1006,definition,
( sQ24_spl
<=> ssList(sk8) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f1008,plain,
( sQ24_spl
| ~ ssList(sk8) ),
inference(component_clause,[status(thm)],[f1006]) ).
fof(f1009,definition,
( sQ25_spl
<=> ssList(app(app(sk7,cons(sk6,nil)),cons(sk6,nil))) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f1011,plain,
( sQ25_spl
| ~ ssList(app(app(sk7,cons(sk6,nil)),cons(sk6,nil))) ),
inference(component_clause,[status(thm)],[f1009]) ).
fof(f1012,definition,
( sQ26_spl
<=> frontsegP(sk3,app(app(sk7,cons(sk6,nil)),cons(sk6,nil))) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f1015,plain,
( ~ sQ12_spl
| sQ26_spl
| ~ sQ25_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1003,f1006,f1009,f1012,f656]) ).
fof(f1016,definition,
( sQ27_spl
<=> rearsegP(sk3,sk8) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f1017,plain,
( ~ sQ27_spl
| rearsegP(sk3,sk8) ),
inference(component_clause,[status(thm)],[f1016]) ).
fof(f1019,plain,
( ~ sQ12_spl
| sQ27_spl
| ~ sQ24_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1004,f1009,f1006,f1016,f656]) ).
fof(f1023,plain,
( ~ sQ12_spl
| ~ sQ0_spl
| ~ ssList(app(app(sk7,cons(sk6,nil)),cons(sk6,nil)))
| ~ ssList(sk8)
| duplicatefreeP(sk3) ),
inference(paramodulation,[status(thm)],[f713,f877]) ).
fof(f1024,plain,
( ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ25_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1023,f904,f1006,f1009,f458,f656]) ).
fof(f1039,plain,
( ~ sQ12_spl
| sk3 = app(app(sk7,cons(sk6,nil)),app(cons(sk6,nil),sk8))
| ~ ssList(app(sk7,cons(sk6,nil)))
| ~ ssList(cons(sk6,nil))
| ~ ssList(sk8) ),
inference(paramodulation,[status(thm)],[f713,f374]) ).
fof(f1040,plain,
! [X0] :
( ~ sQ12_spl
| app(sk3,X0) = app(app(app(sk7,cons(sk6,nil)),cons(sk6,nil)),app(sk8,X0))
| ~ ssList(app(app(sk7,cons(sk6,nil)),cons(sk6,nil)))
| ~ ssList(sk8)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f713,f374]) ).
fof(f1041,definition,
( sQ28_spl
<=> ssList(cons(sk6,nil)) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f1043,plain,
( sQ28_spl
| ~ ssList(cons(sk6,nil)) ),
inference(component_clause,[status(thm)],[f1041]) ).
fof(f1044,definition,
( sQ29_spl
<=> ssList(app(sk7,cons(sk6,nil))) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f1045,plain,
( ~ sQ29_spl
| ssList(app(sk7,cons(sk6,nil))) ),
inference(component_clause,[status(thm)],[f1044]) ).
fof(f1046,plain,
( sQ29_spl
| ~ ssList(app(sk7,cons(sk6,nil))) ),
inference(component_clause,[status(thm)],[f1044]) ).
fof(f1047,definition,
( sQ30_spl
<=> sk3 = app(app(sk7,cons(sk6,nil)),app(cons(sk6,nil),sk8)) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f1048,plain,
( ~ sQ30_spl
| sk3 = app(app(sk7,cons(sk6,nil)),app(cons(sk6,nil),sk8)) ),
inference(component_clause,[status(thm)],[f1047]) ).
fof(f1050,plain,
( ~ sQ12_spl
| sQ30_spl
| ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1039,f1006,f1041,f1044,f1047,f656]) ).
fof(f1051,definition,
! [X0] :
( sQ31_spl
<=> ( app(sk3,X0) = app(app(app(sk7,cons(sk6,nil)),cons(sk6,nil)),app(sk8,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f1054,plain,
( ~ sQ12_spl
| ~ sQ25_spl
| ~ sQ24_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f1040,f1051,f1006,f1009,f656]) ).
fof(f1055,plain,
( sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1008,f445]) ).
fof(f1056,plain,
sQ24_spl,
inference(contradiction_clause,[status(thm)],[f1055]) ).
fof(f1057,plain,
! [X0] :
( ~ ssList(app(nil,X0))
| app(nil,X0) = X0
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(app(nil,X0)) ),
inference(resolution,[status(thm)],[f376,f280]) ).
fof(f1059,plain,
! [X0] :
( ~ sQ12_spl
| sk8 = X0
| ~ ssList(X0)
| ~ ssList(app(app(sk7,cons(sk6,nil)),cons(sk6,nil)))
| ~ ssList(sk8)
| sk3 != app(app(app(sk7,cons(sk6,nil)),cons(sk6,nil)),X0) ),
inference(paramodulation,[status(thm)],[f713,f376]) ).
fof(f1061,plain,
! [X0,X1] :
( X0 = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(equality_resolution,[status(thm)],[f376]) ).
fof(f1062,definition,
! [X0] :
( sQ32_spl
<=> ( ~ ssList(app(nil,X0))
| app(nil,X0) = X0
| ~ ssList(X0)
| ~ ssList(app(nil,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f1065,plain,
( ~ sQ22_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f1057,f1062,f894]) ).
fof(f1067,definition,
! [X0] :
( sQ33_spl
<=> ( sk8 = X0
| ~ ssList(X0)
| sk3 != app(app(app(sk7,cons(sk6,nil)),cons(sk6,nil)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f1068,plain,
! [X0] :
( ~ sQ33_spl
| sk8 = X0
| ~ ssList(X0)
| sk3 != app(app(app(sk7,cons(sk6,nil)),cons(sk6,nil)),X0) ),
inference(component_clause,[status(thm)],[f1067]) ).
fof(f1070,plain,
( ~ sQ12_spl
| ~ sQ25_spl
| ~ sQ24_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f1059,f1067,f1006,f1009,f656]) ).
fof(f1072,definition,
! [X0] :
( sQ34_spl
<=> ( X0 = X0
| ~ ssList(X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f1075,definition,
! [X1] :
( sQ35_spl
<=> ~ ssList(X1) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f1076,plain,
! [X0] :
( ~ sQ35_spl
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f1075]) ).
fof(f1078,plain,
( sQ35_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f1061,f1072,f1075]) ).
fof(f1080,plain,
( ~ sQ35_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f213,f1076]) ).
fof(f1112,plain,
~ sQ35_spl,
inference(contradiction_clause,[status(thm)],[f1080]) ).
fof(f1115,plain,
( ~ sQ12_spl
| ~ sQ33_spl
| sk8 = sk8
| ~ ssList(sk8) ),
inference(resolution,[status(thm)],[f1068,f713]) ).
fof(f1117,definition,
( sQ36_spl
<=> sk8 = sk8 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f1120,plain,
( ~ sQ12_spl
| ~ sQ33_spl
| sQ36_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1115,f1006,f1117,f1067,f656]) ).
fof(f1122,plain,
( sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f707]) ).
fof(f1123,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f1122]) ).
fof(f1140,definition,
( sQ37_spl
<=> ssList(app(cons(sk6,nil),sk8)) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f1141,plain,
( ~ sQ37_spl
| ssList(app(cons(sk6,nil),sk8)) ),
inference(component_clause,[status(thm)],[f1140]) ).
fof(f1142,plain,
( sQ37_spl
| ~ ssList(app(cons(sk6,nil),sk8)) ),
inference(component_clause,[status(thm)],[f1140]) ).
fof(f1145,plain,
( sQ25_spl
| ~ ssList(app(sk7,cons(sk6,nil)))
| ~ ssList(cons(sk6,nil)) ),
inference(resolution,[status(thm)],[f291,f1011]) ).
fof(f1147,plain,
( sQ25_spl
| ~ sQ29_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1145,f1041,f1044,f1009]) ).
fof(f1149,plain,
( sQ29_spl
| ~ ssList(sk7)
| ~ ssList(cons(sk6,nil)) ),
inference(resolution,[status(thm)],[f1046,f291]) ).
fof(f1150,definition,
( sQ38_spl
<=> ssList(sk7) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f1152,plain,
( sQ38_spl
| ~ ssList(sk7) ),
inference(component_clause,[status(thm)],[f1150]) ).
fof(f1153,plain,
( sQ29_spl
| ~ sQ38_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1149,f1041,f1150,f1044]) ).
fof(f1154,plain,
( sQ28_spl
| ~ ssList(nil)
| ~ ssItem(sk6) ),
inference(resolution,[status(thm)],[f1043,f292]) ).
fof(f1155,plain,
( sQ28_spl
| ~ sQ22_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1154,f667,f894,f1041]) ).
fof(f1156,plain,
( sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1152,f444]) ).
fof(f1157,plain,
sQ38_spl,
inference(contradiction_clause,[status(thm)],[f1156]) ).
fof(f1169,plain,
! [X0] :
( ~ sQ30_spl
| X0 = app(cons(sk6,nil),sk8)
| ~ ssList(app(cons(sk6,nil),sk8))
| ~ ssList(app(sk7,cons(sk6,nil)))
| ~ ssList(X0)
| app(app(sk7,cons(sk6,nil)),X0) != sk3 ),
inference(paramodulation,[status(thm)],[f1048,f376]) ).
fof(f1173,definition,
! [X0] :
( sQ39_spl
<=> ( X0 = app(cons(sk6,nil),sk8)
| ~ ssList(X0)
| app(app(sk7,cons(sk6,nil)),X0) != sk3 ) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f1176,plain,
( ~ sQ30_spl
| ~ sQ37_spl
| ~ sQ29_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f1169,f1173,f1044,f1140,f1047]) ).
fof(f1180,plain,
( sQ37_spl
| ~ ssList(cons(sk6,nil))
| ~ ssList(sk8) ),
inference(resolution,[status(thm)],[f1142,f291]) ).
fof(f1181,plain,
( sQ37_spl
| ~ sQ28_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1180,f1006,f1041,f1140]) ).
fof(f1182,plain,
( ~ sQ30_spl
| frontsegP(sk3,app(sk7,cons(sk6,nil)))
| ~ ssList(app(sk7,cons(sk6,nil)))
| ~ ssList(app(cons(sk6,nil),sk8)) ),
inference(paramodulation,[status(thm)],[f1048,f508]) ).
fof(f1184,definition,
( sQ40_spl
<=> frontsegP(sk3,app(sk7,cons(sk6,nil))) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f1185,plain,
( ~ sQ40_spl
| frontsegP(sk3,app(sk7,cons(sk6,nil))) ),
inference(component_clause,[status(thm)],[f1184]) ).
fof(f1187,plain,
( ~ sQ30_spl
| sQ40_spl
| ~ sQ29_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1182,f1140,f1044,f1184,f1047]) ).
fof(f1189,plain,
( ~ sQ30_spl
| rearsegP(sk3,app(cons(sk6,nil),sk8))
| ~ ssList(app(cons(sk6,nil),sk8))
| ~ ssList(app(sk7,cons(sk6,nil))) ),
inference(paramodulation,[status(thm)],[f1048,f506]) ).
fof(f1191,definition,
( sQ41_spl
<=> rearsegP(sk3,app(cons(sk6,nil),sk8)) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f1194,plain,
( ~ sQ30_spl
| sQ41_spl
| ~ sQ37_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1189,f1044,f1140,f1191,f1047]) ).
fof(f1198,plain,
( ~ ssList(nil)
| nil = nil
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f335,f280]) ).
fof(f1200,plain,
( ~ sQ30_spl
| nil = app(cons(sk6,nil),sk8)
| ~ ssList(app(sk7,cons(sk6,nil)))
| ~ ssList(app(cons(sk6,nil),sk8))
| sk3 != nil ),
inference(paramodulation,[status(thm)],[f1048,f335]) ).
fof(f1201,plain,
( ~ sQ12_spl
| nil = sk8
| ~ ssList(app(app(sk7,cons(sk6,nil)),cons(sk6,nil)))
| ~ ssList(sk8)
| sk3 != nil ),
inference(paramodulation,[status(thm)],[f713,f335]) ).
fof(f1202,definition,
( sQ42_spl
<=> nil = nil ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f1205,plain,
( sQ42_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1198,f894,f1202]) ).
fof(f1207,definition,
( sQ43_spl
<=> nil = app(cons(sk6,nil),sk8) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f1208,plain,
( ~ sQ43_spl
| nil = app(cons(sk6,nil),sk8) ),
inference(component_clause,[status(thm)],[f1207]) ).
fof(f1210,plain,
( ~ sQ30_spl
| sQ43_spl
| ~ sQ29_spl
| ~ sQ37_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1200,f472,f1140,f1044,f1207,f1047]) ).
fof(f1211,definition,
( sQ44_spl
<=> nil = sk8 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f1212,plain,
( ~ sQ44_spl
| nil = sk8 ),
inference(component_clause,[status(thm)],[f1211]) ).
fof(f1214,plain,
( ~ sQ12_spl
| sQ44_spl
| ~ sQ25_spl
| ~ sQ24_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1201,f472,f1006,f1009,f1211,f656]) ).
fof(f1217,plain,
( ~ sQ30_spl
| nil = app(sk7,cons(sk6,nil))
| ~ ssList(app(sk7,cons(sk6,nil)))
| ~ ssList(app(cons(sk6,nil),sk8))
| sk3 != nil ),
inference(paramodulation,[status(thm)],[f1048,f333]) ).
fof(f1218,plain,
( ~ sQ12_spl
| nil = app(app(sk7,cons(sk6,nil)),cons(sk6,nil))
| ~ ssList(app(app(sk7,cons(sk6,nil)),cons(sk6,nil)))
| ~ ssList(sk8)
| sk3 != nil ),
inference(paramodulation,[status(thm)],[f713,f333]) ).
fof(f1221,definition,
( sQ45_spl
<=> nil = app(sk7,cons(sk6,nil)) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f1222,plain,
( ~ sQ45_spl
| nil = app(sk7,cons(sk6,nil)) ),
inference(component_clause,[status(thm)],[f1221]) ).
fof(f1224,plain,
( ~ sQ30_spl
| sQ45_spl
| ~ sQ29_spl
| ~ sQ37_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1217,f472,f1140,f1044,f1221,f1047]) ).
fof(f1225,definition,
( sQ46_spl
<=> nil = app(app(sk7,cons(sk6,nil)),cons(sk6,nil)) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f1226,plain,
( ~ sQ46_spl
| nil = app(app(sk7,cons(sk6,nil)),cons(sk6,nil)) ),
inference(component_clause,[status(thm)],[f1225]) ).
fof(f1228,plain,
( ~ sQ12_spl
| sQ46_spl
| ~ sQ25_spl
| ~ sQ24_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1218,f472,f1006,f1009,f1225,f656]) ).
fof(f1229,plain,
! [X0] :
( ~ sQ5_spl
| app(sk3,X0) = cons(sk9,X0)
| ~ ssList(X0)
| ~ ssItem(sk9) ),
inference(paramodulation,[status(thm)],[f477,f336]) ).
fof(f1230,definition,
! [X0] :
( sQ47_spl
<=> ( app(sk3,X0) = cons(sk9,X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f1231,plain,
! [X0] :
( ~ sQ47_spl
| app(sk3,X0) = cons(sk9,X0)
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f1230]) ).
fof(f1233,plain,
( ~ sQ5_spl
| sQ47_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1229,f465,f1230,f476]) ).
fof(f1234,plain,
( ~ sQ5_spl
| ~ sQ47_spl
| app(sk3,nil) = sk3
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f477,f1231]) ).
fof(f1235,definition,
( sQ48_spl
<=> app(sk3,nil) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f1236,plain,
( ~ sQ48_spl
| app(sk3,nil) = sk3 ),
inference(component_clause,[status(thm)],[f1235]) ).
fof(f1237,plain,
( sQ48_spl
| app(sk3,nil) != sk3 ),
inference(component_clause,[status(thm)],[f1235]) ).
fof(f1238,plain,
( ~ sQ5_spl
| ~ sQ47_spl
| sQ48_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1234,f894,f1235,f1230,f476]) ).
fof(f1242,plain,
( ~ sQ48_spl
| rearsegP(sk3,nil)
| ~ ssList(nil)
| ~ ssList(sk3) ),
inference(paramodulation,[status(thm)],[f1236,f506]) ).
fof(f1243,plain,
( ~ sQ48_spl
| frontsegP(sk3,sk3)
| ~ ssList(sk3)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1236,f508]) ).
fof(f1244,plain,
! [X0] :
( ~ sQ48_spl
| X0 = nil
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(X0)
| app(sk3,X0) != sk3 ),
inference(paramodulation,[status(thm)],[f1236,f376]) ).
fof(f1251,definition,
( sQ49_spl
<=> rearsegP(sk3,nil) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f1252,plain,
( ~ sQ49_spl
| rearsegP(sk3,nil) ),
inference(component_clause,[status(thm)],[f1251]) ).
fof(f1254,plain,
( ~ sQ48_spl
| sQ49_spl
| ~ sQ22_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1242,f701,f894,f1251,f1235]) ).
fof(f1255,definition,
( sQ50_spl
<=> frontsegP(sk3,sk3) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f1256,plain,
( ~ sQ50_spl
| frontsegP(sk3,sk3) ),
inference(component_clause,[status(thm)],[f1255]) ).
fof(f1258,plain,
( ~ sQ48_spl
| sQ50_spl
| ~ sQ17_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1243,f894,f701,f1255,f1235]) ).
fof(f1259,definition,
! [X0] :
( sQ51_spl
<=> ( X0 = nil
| ~ ssList(X0)
| app(sk3,X0) != sk3 ) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f1260,plain,
! [X0] :
( ~ sQ51_spl
| X0 = nil
| ~ ssList(X0)
| app(sk3,X0) != sk3 ),
inference(component_clause,[status(thm)],[f1259]) ).
fof(f1262,plain,
( ~ sQ48_spl
| ~ sQ22_spl
| ~ sQ17_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f1244,f1259,f701,f894,f1235]) ).
fof(f1266,plain,
( ~ sQ30_spl
| sk3 = app(sk7,app(cons(sk6,nil),app(cons(sk6,nil),sk8)))
| ~ ssList(sk7)
| ~ ssList(cons(sk6,nil))
| ~ ssList(app(cons(sk6,nil),sk8)) ),
inference(paramodulation,[status(thm)],[f1048,f374]) ).
fof(f1268,plain,
! [X0] :
( ~ sQ48_spl
| app(sk3,X0) = app(sk3,app(nil,X0))
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1236,f374]) ).
fof(f1269,plain,
! [X0] :
( ~ sQ30_spl
| app(sk3,X0) = app(app(sk7,cons(sk6,nil)),app(app(cons(sk6,nil),sk8),X0))
| ~ ssList(app(sk7,cons(sk6,nil)))
| ~ ssList(app(cons(sk6,nil),sk8))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1048,f374]) ).
fof(f1271,definition,
( sQ52_spl
<=> sk3 = app(sk7,app(cons(sk6,nil),app(cons(sk6,nil),sk8))) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f1272,plain,
( ~ sQ52_spl
| sk3 = app(sk7,app(cons(sk6,nil),app(cons(sk6,nil),sk8))) ),
inference(component_clause,[status(thm)],[f1271]) ).
fof(f1274,plain,
( ~ sQ30_spl
| sQ52_spl
| ~ sQ38_spl
| ~ sQ28_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1266,f1140,f1041,f1150,f1271,f1047]) ).
fof(f1276,definition,
! [X0] :
( sQ53_spl
<=> ( app(sk3,X0) = app(sk3,app(nil,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f1277,plain,
! [X0] :
( ~ sQ53_spl
| app(sk3,X0) = app(sk3,app(nil,X0))
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f1276]) ).
fof(f1279,plain,
( ~ sQ48_spl
| ~ sQ17_spl
| ~ sQ22_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f1268,f1276,f894,f701,f1235]) ).
fof(f1280,definition,
! [X0] :
( sQ54_spl
<=> ( app(sk3,X0) = app(app(sk7,cons(sk6,nil)),app(app(cons(sk6,nil),sk8),X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f1283,plain,
( ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ37_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f1269,f1280,f1140,f1044,f1047]) ).
fof(f1307,plain,
! [X0] :
( ~ sQ53_spl
| X0 = app(nil,X0)
| ~ ssList(app(nil,X0))
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1277,f376]) ).
fof(f1309,definition,
! [X0] :
( sQ58_spl
<=> ( X0 = app(nil,X0)
| ~ ssList(app(nil,X0))
| ~ ssList(X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f1312,plain,
( ~ sQ53_spl
| ~ sQ17_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f1307,f1309,f701,f1276]) ).
fof(f1319,plain,
! [X0] :
( ~ ssList(app(X0,nil))
| app(X0,nil) = X0
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(app(X0,nil)) ),
inference(resolution,[status(thm)],[f378,f279]) ).
fof(f1321,plain,
! [X0] :
( ~ sQ48_spl
| sk3 = X0
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sk3)
| sk3 != app(X0,nil) ),
inference(paramodulation,[status(thm)],[f1236,f378]) ).
fof(f1322,plain,
! [X0] :
( ~ sQ30_spl
| app(sk7,cons(sk6,nil)) = X0
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,nil),sk8))
| ~ ssList(app(sk7,cons(sk6,nil)))
| sk3 != app(X0,app(cons(sk6,nil),sk8)) ),
inference(paramodulation,[status(thm)],[f1048,f378]) ).
fof(f1323,plain,
! [X0] :
( ~ sQ12_spl
| app(app(sk7,cons(sk6,nil)),cons(sk6,nil)) = X0
| ~ ssList(X0)
| ~ ssList(sk8)
| ~ ssList(app(app(sk7,cons(sk6,nil)),cons(sk6,nil)))
| sk3 != app(X0,sk8) ),
inference(paramodulation,[status(thm)],[f713,f378]) ).
fof(f1328,definition,
! [X0] :
( sQ59_spl
<=> ( ~ ssList(app(X0,nil))
| app(X0,nil) = X0
| ~ ssList(X0)
| ~ ssList(app(X0,nil)) ) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f1331,plain,
( ~ sQ22_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f1319,f1328,f894]) ).
fof(f1333,definition,
! [X0] :
( sQ60_spl
<=> ( sk3 = X0
| ~ ssList(X0)
| sk3 != app(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f1334,plain,
! [X0] :
( ~ sQ60_spl
| sk3 = X0
| ~ ssList(X0)
| sk3 != app(X0,nil) ),
inference(component_clause,[status(thm)],[f1333]) ).
fof(f1336,plain,
( ~ sQ48_spl
| ~ sQ22_spl
| ~ sQ17_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f1321,f1333,f701,f894,f1235]) ).
fof(f1337,definition,
! [X0] :
( sQ61_spl
<=> ( app(sk7,cons(sk6,nil)) = X0
| ~ ssList(X0)
| sk3 != app(X0,app(cons(sk6,nil),sk8)) ) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f1340,plain,
( ~ sQ30_spl
| ~ sQ37_spl
| ~ sQ29_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f1322,f1337,f1044,f1140,f1047]) ).
fof(f1341,definition,
! [X0] :
( sQ62_spl
<=> ( app(app(sk7,cons(sk6,nil)),cons(sk6,nil)) = X0
| ~ ssList(X0)
| sk3 != app(X0,sk8) ) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f1344,plain,
( ~ sQ12_spl
| ~ sQ24_spl
| ~ sQ25_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f1323,f1341,f1009,f1006,f656]) ).
fof(f1356,plain,
! [X0] :
( ~ sQ48_spl
| memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ memberP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1236,f361]) ).
fof(f1357,plain,
! [X0] :
( ~ sQ30_spl
| memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,cons(sk6,nil)))
| ~ ssList(app(cons(sk6,nil),sk8))
| ~ memberP(app(cons(sk6,nil),sk8),X0) ),
inference(paramodulation,[status(thm)],[f1048,f361]) ).
fof(f1358,plain,
! [X0] :
( ~ sQ12_spl
| memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(app(app(sk7,cons(sk6,nil)),cons(sk6,nil)))
| ~ ssList(sk8)
| ~ memberP(sk8,X0) ),
inference(paramodulation,[status(thm)],[f713,f361]) ).
fof(f1359,plain,
( ~ sQ48_spl
| ~ sQ17_spl
| ~ sQ22_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f1356,f891,f894,f701,f1235]) ).
fof(f1360,definition,
! [X0] :
( sQ63_spl
<=> ( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ memberP(app(cons(sk6,nil),sk8),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f1361,plain,
! [X0] :
( ~ sQ63_spl
| memberP(sk3,X0)
| ~ ssItem(X0)
| ~ memberP(app(cons(sk6,nil),sk8),X0) ),
inference(component_clause,[status(thm)],[f1360]) ).
fof(f1363,plain,
( ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ37_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f1357,f1360,f1140,f1044,f1047]) ).
fof(f1364,definition,
! [X0] :
( sQ64_spl
<=> ( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1367,plain,
( ~ sQ12_spl
| ~ sQ25_spl
| ~ sQ24_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f1358,f1364,f1006,f1009,f656]) ).
fof(f1370,plain,
! [X0] :
( ~ sQ48_spl
| memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ memberP(sk3,X0) ),
inference(paramodulation,[status(thm)],[f1236,f360]) ).
fof(f1371,plain,
! [X0] :
( ~ sQ30_spl
| memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,cons(sk6,nil)))
| ~ ssList(app(cons(sk6,nil),sk8))
| ~ memberP(app(sk7,cons(sk6,nil)),X0) ),
inference(paramodulation,[status(thm)],[f1048,f360]) ).
fof(f1372,plain,
! [X0] :
( ~ sQ12_spl
| memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(app(app(sk7,cons(sk6,nil)),cons(sk6,nil)))
| ~ ssList(sk8)
| ~ memberP(app(app(sk7,cons(sk6,nil)),cons(sk6,nil)),X0) ),
inference(paramodulation,[status(thm)],[f713,f360]) ).
fof(f1373,definition,
! [X0] :
( sQ65_spl
<=> ( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f1376,plain,
( ~ sQ48_spl
| ~ sQ17_spl
| ~ sQ22_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f1370,f1373,f894,f701,f1235]) ).
fof(f1377,definition,
! [X0] :
( sQ66_spl
<=> ( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ memberP(app(sk7,cons(sk6,nil)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f1378,plain,
! [X0] :
( ~ sQ66_spl
| memberP(sk3,X0)
| ~ ssItem(X0)
| ~ memberP(app(sk7,cons(sk6,nil)),X0) ),
inference(component_clause,[status(thm)],[f1377]) ).
fof(f1380,plain,
( ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ37_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f1371,f1377,f1140,f1044,f1047]) ).
fof(f1381,definition,
! [X0] :
( sQ67_spl
<=> ( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ memberP(app(app(sk7,cons(sk6,nil)),cons(sk6,nil)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f1384,plain,
( ~ sQ12_spl
| ~ sQ25_spl
| ~ sQ24_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f1372,f1381,f1006,f1009,f656]) ).
fof(f1385,plain,
! [X0] :
( ~ sQ63_spl
| ~ ssItem(X0)
| ~ ssList(cons(sk6,nil))
| ~ ssList(sk8)
| ~ memberP(cons(sk6,nil),X0)
| memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[f1361,f360]) ).
fof(f1386,plain,
! [X0] :
( ~ sQ63_spl
| ~ ssItem(X0)
| ~ ssList(cons(sk6,nil))
| ~ ssList(sk8)
| ~ memberP(sk8,X0)
| memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[f1361,f361]) ).
fof(f1387,definition,
! [X0] :
( sQ68_spl
<=> ( ~ ssItem(X0)
| ~ memberP(cons(sk6,nil),X0)
| memberP(sk3,X0)
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f1388,plain,
! [X0] :
( ~ sQ68_spl
| ~ ssItem(X0)
| ~ memberP(cons(sk6,nil),X0)
| memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(component_clause,[status(thm)],[f1387]) ).
fof(f1390,plain,
( ~ sQ63_spl
| ~ sQ28_spl
| ~ sQ24_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f1385,f1387,f1006,f1041,f1360]) ).
fof(f1391,definition,
! [X0] :
( sQ69_spl
<=> ( ~ ssItem(X0)
| ~ memberP(sk8,X0)
| memberP(sk3,X0)
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f1394,plain,
( ~ sQ63_spl
| ~ sQ28_spl
| ~ sQ24_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f1386,f1391,f1006,f1041,f1360]) ).
fof(f1395,plain,
! [X0] :
( ~ sQ68_spl
| ~ memberP(cons(sk6,nil),X0)
| memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1388]) ).
fof(f1397,plain,
! [X0] :
( ~ sQ68_spl
| ~ ssItem(X0)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ memberP(nil,X0)
| memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[f1395,f359]) ).
fof(f1398,plain,
( ~ sQ68_spl
| ~ ssItem(sk6)
| ~ ssList(nil)
| memberP(sk3,sk6)
| ~ ssItem(sk6) ),
inference(resolution,[status(thm)],[f1395,f504]) ).
fof(f1399,definition,
! [X0] :
( sQ70_spl
<=> ( ~ ssItem(X0)
| ~ memberP(nil,X0)
| memberP(sk3,X0)
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f1402,plain,
( ~ sQ68_spl
| ~ sQ13_spl
| ~ sQ22_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f1397,f1399,f894,f667,f1387]) ).
fof(f1403,definition,
( sQ71_spl
<=> memberP(sk3,sk6) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f1404,plain,
( ~ sQ71_spl
| memberP(sk3,sk6) ),
inference(component_clause,[status(thm)],[f1403]) ).
fof(f1406,plain,
( ~ sQ68_spl
| ~ sQ22_spl
| sQ71_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1398,f667,f1403,f894,f1387]) ).
fof(f1409,plain,
! [X0] :
( ~ sQ66_spl
| ~ ssItem(X0)
| ~ ssList(sk7)
| ~ ssList(cons(sk6,nil))
| ~ memberP(sk7,X0)
| memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[f1378,f360]) ).
fof(f1412,definition,
! [X0] :
( sQ72_spl
<=> ( ~ ssItem(X0)
| ~ memberP(sk7,X0)
| memberP(sk3,X0)
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1415,plain,
( ~ sQ66_spl
| ~ sQ38_spl
| ~ sQ28_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f1409,f1412,f1041,f1150,f1377]) ).
fof(f1420,plain,
! [X0] :
( ~ sQ5_spl
| X0 = sk9
| memberP(nil,X0)
| ~ ssItem(X0)
| ~ ssItem(sk9)
| ~ ssList(nil)
| ~ memberP(sk3,X0) ),
inference(paramodulation,[status(thm)],[f477,f397]) ).
fof(f1421,definition,
! [X0] :
( sQ73_spl
<=> ( X0 = sk9
| memberP(nil,X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f1422,plain,
! [X0] :
( ~ sQ73_spl
| X0 = sk9
| memberP(nil,X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(component_clause,[status(thm)],[f1421]) ).
fof(f1424,plain,
( ~ sQ5_spl
| ~ sQ2_spl
| ~ sQ22_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f1420,f1421,f894,f465,f476]) ).
fof(f1425,plain,
! [X0] :
( ~ sQ73_spl
| X0 = sk9
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1422,f276]) ).
fof(f1426,plain,
! [X0] :
( ~ sQ48_spl
| cons(X0,sk3) = app(cons(X0,sk3),nil)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssItem(X0) ),
inference(paramodulation,[status(thm)],[f1236,f389]) ).
fof(f1427,plain,
! [X0] :
( ~ sQ30_spl
| cons(X0,sk3) = app(cons(X0,app(sk7,cons(sk6,nil))),app(cons(sk6,nil),sk8))
| ~ ssList(app(cons(sk6,nil),sk8))
| ~ ssList(app(sk7,cons(sk6,nil)))
| ~ ssItem(X0) ),
inference(paramodulation,[status(thm)],[f1048,f389]) ).
fof(f1428,plain,
! [X0] :
( ~ sQ12_spl
| cons(X0,sk3) = app(cons(X0,app(app(sk7,cons(sk6,nil)),cons(sk6,nil))),sk8)
| ~ ssList(sk8)
| ~ ssList(app(app(sk7,cons(sk6,nil)),cons(sk6,nil)))
| ~ ssItem(X0) ),
inference(paramodulation,[status(thm)],[f713,f389]) ).
fof(f1429,definition,
! [X0] :
( sQ74_spl
<=> ( cons(X0,sk3) = app(cons(X0,sk3),nil)
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f1432,plain,
( ~ sQ48_spl
| ~ sQ22_spl
| ~ sQ17_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f1426,f1429,f701,f894,f1235]) ).
fof(f1433,definition,
! [X0] :
( sQ75_spl
<=> ( cons(X0,sk3) = app(cons(X0,app(sk7,cons(sk6,nil))),app(cons(sk6,nil),sk8))
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1436,plain,
( ~ sQ30_spl
| ~ sQ37_spl
| ~ sQ29_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f1427,f1433,f1044,f1140,f1047]) ).
fof(f1437,definition,
! [X0] :
( sQ76_spl
<=> ( cons(X0,sk3) = app(cons(X0,app(app(sk7,cons(sk6,nil)),cons(sk6,nil))),sk8)
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1440,plain,
( ~ sQ12_spl
| ~ sQ24_spl
| ~ sQ25_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f1428,f1437,f1009,f1006,f656]) ).
fof(f1445,plain,
! [X0] :
( ~ sQ48_spl
| memberP(sk3,X0)
| memberP(nil,X0)
| ~ ssItem(X0)
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ memberP(sk3,X0) ),
inference(paramodulation,[status(thm)],[f1236,f391]) ).
fof(f1446,plain,
! [X0] :
( ~ sQ30_spl
| memberP(app(sk7,cons(sk6,nil)),X0)
| memberP(app(cons(sk6,nil),sk8),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,cons(sk6,nil)))
| ~ ssList(app(cons(sk6,nil),sk8))
| ~ memberP(sk3,X0) ),
inference(paramodulation,[status(thm)],[f1048,f391]) ).
fof(f1447,plain,
! [X0] :
( ~ sQ12_spl
| memberP(app(app(sk7,cons(sk6,nil)),cons(sk6,nil)),X0)
| memberP(sk8,X0)
| ~ ssItem(X0)
| ~ ssList(app(app(sk7,cons(sk6,nil)),cons(sk6,nil)))
| ~ ssList(sk8)
| ~ memberP(sk3,X0) ),
inference(paramodulation,[status(thm)],[f713,f391]) ).
fof(f1453,definition,
! [X0] :
( sQ78_spl
<=> ( memberP(sk3,X0)
| memberP(nil,X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f1456,plain,
( ~ sQ48_spl
| ~ sQ17_spl
| ~ sQ22_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f1445,f1453,f894,f701,f1235]) ).
fof(f1457,definition,
! [X0] :
( sQ79_spl
<=> ( memberP(app(sk7,cons(sk6,nil)),X0)
| memberP(app(cons(sk6,nil),sk8),X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1460,plain,
( ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ37_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f1446,f1457,f1140,f1044,f1047]) ).
fof(f1461,definition,
! [X0] :
( sQ80_spl
<=> ( memberP(app(app(sk7,cons(sk6,nil)),cons(sk6,nil)),X0)
| memberP(sk8,X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f1464,plain,
( ~ sQ12_spl
| ~ sQ25_spl
| ~ sQ24_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f1447,f1461,f1006,f1009,f656]) ).
fof(f1518,plain,
( ~ sQ71_spl
| ~ sQ73_spl
| sk6 = sk9
| ~ ssItem(sk6) ),
inference(resolution,[status(thm)],[f1425,f1404]) ).
fof(f1520,definition,
( sQ84_spl
<=> sk6 = sk9 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f1521,plain,
( ~ sQ84_spl
| sk6 = sk9 ),
inference(component_clause,[status(thm)],[f1520]) ).
fof(f1523,plain,
( ~ sQ71_spl
| ~ sQ73_spl
| sQ84_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1518,f667,f1520,f1421,f1403]) ).
fof(f1527,plain,
( ~ sQ71_spl
| ~ sQ84_spl
| memberP(sk3,sk9) ),
inference(backward_demodulation,[status(thm)],[f1521,f1404]) ).
fof(f1533,plain,
( ~ sQ37_spl
| ~ sQ84_spl
| ssList(app(cons(sk9,nil),sk8)) ),
inference(backward_demodulation,[status(thm)],[f1521,f1141]) ).
fof(f1535,plain,
( ~ sQ30_spl
| ~ sQ84_spl
| sk3 = app(app(sk7,cons(sk6,nil)),app(cons(sk9,nil),sk8)) ),
inference(backward_demodulation,[status(thm)],[f1521,f1048]) ).
fof(f1538,plain,
( ~ sQ29_spl
| ~ sQ84_spl
| ssList(app(sk7,cons(sk9,nil))) ),
inference(backward_demodulation,[status(thm)],[f1521,f1045]) ).
fof(f1565,plain,
( ~ sQ37_spl
| ~ sQ84_spl
| ~ sQ5_spl
| ssList(app(sk3,sk8)) ),
inference(forward_demodulation,[status(thm)],[f477,f1533]) ).
fof(f1569,plain,
( ~ sQ30_spl
| ~ sQ84_spl
| sk3 = app(app(sk7,cons(sk9,nil)),app(cons(sk9,nil),sk8)) ),
inference(forward_demodulation,[status(thm)],[f1521,f1535]) ).
fof(f1570,plain,
( ~ sQ30_spl
| ~ sQ84_spl
| ~ sQ5_spl
| sk3 = app(app(sk7,sk3),app(cons(sk9,nil),sk8)) ),
inference(forward_demodulation,[status(thm)],[f477,f1569]) ).
fof(f1571,plain,
( ~ sQ30_spl
| ~ sQ84_spl
| ~ sQ5_spl
| sk3 = app(app(sk7,sk3),app(sk3,sk8)) ),
inference(forward_demodulation,[status(thm)],[f477,f1570]) ).
fof(f1578,plain,
( ~ sQ29_spl
| ~ sQ84_spl
| ~ sQ5_spl
| ssList(app(sk7,sk3)) ),
inference(forward_demodulation,[status(thm)],[f477,f1538]) ).
fof(f1629,plain,
( ~ sQ30_spl
| ~ sQ84_spl
| ~ sQ5_spl
| sk3 = app(sk7,app(sk3,app(sk3,sk8)))
| ~ ssList(sk7)
| ~ ssList(sk3)
| ~ ssList(app(sk3,sk8)) ),
inference(paramodulation,[status(thm)],[f1571,f374]) ).
fof(f1645,definition,
( sQ86_spl
<=> ssList(app(sk3,sk8)) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1647,plain,
( sQ86_spl
| ~ ssList(app(sk3,sk8)) ),
inference(component_clause,[status(thm)],[f1645]) ).
fof(f1648,definition,
( sQ87_spl
<=> sk3 = app(sk7,app(sk3,app(sk3,sk8))) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1649,plain,
( ~ sQ87_spl
| sk3 = app(sk7,app(sk3,app(sk3,sk8))) ),
inference(component_clause,[status(thm)],[f1648]) ).
fof(f1650,plain,
( sQ87_spl
| sk3 != app(sk7,app(sk3,app(sk3,sk8))) ),
inference(component_clause,[status(thm)],[f1648]) ).
fof(f1651,plain,
( ~ sQ30_spl
| ~ sQ84_spl
| ~ sQ5_spl
| sQ87_spl
| ~ sQ38_spl
| ~ sQ17_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f1629,f1645,f701,f1150,f1648,f476,f1520,f1047]) ).
fof(f1655,definition,
( sQ89_spl
<=> ssList(app(sk7,sk3)) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1657,plain,
( sQ89_spl
| ~ ssList(app(sk7,sk3)) ),
inference(component_clause,[status(thm)],[f1655]) ).
fof(f1680,definition,
( sQ95_spl
<=> nil = app(sk7,sk3) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1681,plain,
( ~ sQ95_spl
| nil = app(sk7,sk3) ),
inference(component_clause,[status(thm)],[f1680]) ).
fof(f1682,plain,
( sQ95_spl
| nil != app(sk7,sk3) ),
inference(component_clause,[status(thm)],[f1680]) ).
fof(f1684,definition,
( sQ96_spl
<=> nil = app(sk3,sk8) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1685,plain,
( ~ sQ96_spl
| nil = app(sk3,sk8) ),
inference(component_clause,[status(thm)],[f1684]) ).
fof(f1686,plain,
( sQ96_spl
| nil != app(sk3,sk8) ),
inference(component_clause,[status(thm)],[f1684]) ).
fof(f1688,definition,
( sQ97_spl
<=> rearsegP(sk3,app(sk3,sk8)) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1689,plain,
( ~ sQ97_spl
| rearsegP(sk3,app(sk3,sk8)) ),
inference(component_clause,[status(thm)],[f1688]) ).
fof(f1692,definition,
( sQ98_spl
<=> frontsegP(sk3,app(sk7,sk3)) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1693,plain,
( ~ sQ98_spl
| frontsegP(sk3,app(sk7,sk3)) ),
inference(component_clause,[status(thm)],[f1692]) ).
fof(f1703,plain,
( sQ86_spl
| ~ sQ37_spl
| ~ sQ84_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1647,f1565]) ).
fof(f1704,plain,
( sQ86_spl
| ~ sQ37_spl
| ~ sQ84_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f1703]) ).
fof(f1712,plain,
! [X0,X1] :
( ~ sQ44_spl
| sk8 = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
inference(backward_demodulation,[status(thm)],[f1212,f333]) ).
fof(f1713,plain,
! [X0,X1] :
( ~ sQ44_spl
| sk8 = X1
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
inference(backward_demodulation,[status(thm)],[f1212,f335]) ).
fof(f1715,plain,
! [X0] :
( ~ sQ44_spl
| app(X0,sk8) = X0
| ~ ssList(X0) ),
inference(backward_demodulation,[status(thm)],[f1212,f279]) ).
fof(f1716,plain,
! [X0] :
( ~ sQ44_spl
| app(sk8,X0) = X0
| ~ ssList(X0) ),
inference(backward_demodulation,[status(thm)],[f1212,f280]) ).
fof(f1751,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| sk8 = app(sk7,cons(sk6,nil)) ),
inference(forward_demodulation,[status(thm)],[f1212,f1222]) ).
fof(f1754,plain,
( ~ sQ46_spl
| ~ sQ44_spl
| sk8 = app(app(sk7,cons(sk6,nil)),cons(sk6,nil)) ),
inference(forward_demodulation,[status(thm)],[f1212,f1226]) ).
fof(f1850,plain,
( sQ48_spl
| ~ sQ44_spl
| app(sk3,sk8) != sk3 ),
inference(forward_demodulation,[status(thm)],[f1212,f1237]) ).
fof(f1927,plain,
( ~ sQ4_spl
| ~ sQ44_spl
| sk8 = sk3 ),
inference(forward_demodulation,[status(thm)],[f1212,f473]) ).
fof(f2011,plain,
! [X0,X1] :
( ~ sQ44_spl
| sk8 = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != sk8 ),
inference(forward_demodulation,[status(thm)],[f1212,f1712]) ).
fof(f2012,plain,
! [X0,X1] :
( ~ sQ44_spl
| sk8 = X1
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != sk8 ),
inference(forward_demodulation,[status(thm)],[f1212,f1713]) ).
fof(f2074,plain,
( ~ sQ29_spl
| ~ sQ84_spl
| ~ sQ5_spl
| sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1578,f1657]) ).
fof(f2075,plain,
( ~ sQ29_spl
| ~ sQ84_spl
| ~ sQ5_spl
| sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f2074]) ).
fof(f2115,plain,
! [X0,X1] :
( X0 = X0
| ~ ssList(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X0) ),
inference(equality_resolution,[status(thm)],[f407]) ).
fof(f2116,definition,
! [X0] :
( sQ100_spl
<=> ( X0 = X0
| ~ ssItem(X0)
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f2119,definition,
! [X1] :
( sQ101_spl
<=> ( ~ ssList(X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f2120,plain,
! [X0] :
( ~ sQ101_spl
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f2119]) ).
fof(f2122,plain,
( sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f2115,f2116,f2119]) ).
fof(f2124,definition,
! [X0] :
( sQ102_spl
<=> ( ~ ssItem(X0)
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f2125,plain,
! [X0] :
( ~ sQ102_spl
| ~ ssItem(X0)
| ~ ssItem(X0) ),
inference(component_clause,[status(thm)],[f2124]) ).
fof(f2175,definition,
( sQ105_spl
<=> sk3 = app(app(sk7,sk3),app(sk3,sk8)) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f2176,plain,
( ~ sQ105_spl
| sk3 = app(app(sk7,sk3),app(sk3,sk8)) ),
inference(component_clause,[status(thm)],[f2175]) ).
fof(f2177,plain,
( sQ105_spl
| sk3 != app(app(sk7,sk3),app(sk3,sk8)) ),
inference(component_clause,[status(thm)],[f2175]) ).
fof(f2182,definition,
( sQ107_spl
<=> ssList(app(app(sk7,sk3),sk3)) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f2184,plain,
( sQ107_spl
| ~ ssList(app(app(sk7,sk3),sk3)) ),
inference(component_clause,[status(thm)],[f2182]) ).
fof(f2268,definition,
( sQ114_spl
<=> nil = app(app(sk7,sk3),sk3) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f2270,plain,
( sQ114_spl
| nil != app(app(sk7,sk3),sk3) ),
inference(component_clause,[status(thm)],[f2268]) ).
fof(f2323,plain,
( ~ sQ87_spl
| nil = app(sk3,app(sk3,sk8))
| ~ ssList(sk7)
| ~ ssList(app(sk3,app(sk3,sk8)))
| sk3 != nil ),
inference(paramodulation,[status(thm)],[f1649,f335]) ).
fof(f2324,plain,
( ~ sQ87_spl
| nil = sk7
| ~ ssList(sk7)
| ~ ssList(app(sk3,app(sk3,sk8)))
| sk3 != nil ),
inference(paramodulation,[status(thm)],[f1649,f333]) ).
fof(f2325,plain,
! [X0] :
( ~ sQ87_spl
| memberP(sk7,X0)
| memberP(app(sk3,app(sk3,sk8)),X0)
| ~ ssItem(X0)
| ~ ssList(sk7)
| ~ ssList(app(sk3,app(sk3,sk8)))
| ~ memberP(sk3,X0) ),
inference(paramodulation,[status(thm)],[f1649,f391]) ).
fof(f2326,plain,
! [X0] :
( ~ sQ87_spl
| cons(X0,sk3) = app(cons(X0,sk7),app(sk3,app(sk3,sk8)))
| ~ ssList(app(sk3,app(sk3,sk8)))
| ~ ssList(sk7)
| ~ ssItem(X0) ),
inference(paramodulation,[status(thm)],[f1649,f389]) ).
fof(f2327,plain,
! [X0] :
( ~ sQ87_spl
| memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(sk7)
| ~ ssList(app(sk3,app(sk3,sk8)))
| ~ memberP(sk7,X0) ),
inference(paramodulation,[status(thm)],[f1649,f360]) ).
fof(f2328,plain,
! [X0] :
( ~ sQ87_spl
| memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(sk7)
| ~ ssList(app(sk3,app(sk3,sk8)))
| ~ memberP(app(sk3,app(sk3,sk8)),X0) ),
inference(paramodulation,[status(thm)],[f1649,f361]) ).
fof(f2329,plain,
! [X0] :
( ~ sQ87_spl
| X0 = sk7
| ~ ssList(sk7)
| ~ ssList(app(sk3,app(sk3,sk8)))
| ~ ssList(X0)
| app(X0,app(sk3,app(sk3,sk8))) != sk3 ),
inference(paramodulation,[status(thm)],[f1649,f378]) ).
fof(f2331,plain,
! [X0] :
( ~ sQ87_spl
| app(sk3,X0) = app(sk7,app(app(sk3,app(sk3,sk8)),X0))
| ~ ssList(sk7)
| ~ ssList(app(sk3,app(sk3,sk8)))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1649,f374]) ).
fof(f2332,plain,
( ~ sQ87_spl
| rearsegP(sk3,app(sk3,app(sk3,sk8)))
| ~ ssList(app(sk3,app(sk3,sk8)))
| ~ ssList(sk7) ),
inference(paramodulation,[status(thm)],[f1649,f506]) ).
fof(f2333,plain,
( ~ sQ87_spl
| frontsegP(sk3,sk7)
| ~ ssList(sk7)
| ~ ssList(app(sk3,app(sk3,sk8))) ),
inference(paramodulation,[status(thm)],[f1649,f508]) ).
fof(f2334,plain,
! [X0] :
( ~ sQ87_spl
| X0 = app(sk3,app(sk3,sk8))
| ~ ssList(app(sk3,app(sk3,sk8)))
| ~ ssList(sk7)
| ~ ssList(X0)
| app(sk7,X0) != sk3 ),
inference(paramodulation,[status(thm)],[f1649,f376]) ).
fof(f2338,definition,
( sQ116_spl
<=> ssList(app(sk3,app(sk3,sk8))) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f2339,plain,
( ~ sQ116_spl
| ssList(app(sk3,app(sk3,sk8))) ),
inference(component_clause,[status(thm)],[f2338]) ).
fof(f2340,plain,
( sQ116_spl
| ~ ssList(app(sk3,app(sk3,sk8))) ),
inference(component_clause,[status(thm)],[f2338]) ).
fof(f2341,definition,
( sQ117_spl
<=> nil = app(sk3,app(sk3,sk8)) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f2342,plain,
( ~ sQ117_spl
| nil = app(sk3,app(sk3,sk8)) ),
inference(component_clause,[status(thm)],[f2341]) ).
fof(f2344,plain,
( ~ sQ87_spl
| sQ117_spl
| ~ sQ38_spl
| ~ sQ116_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2323,f472,f2338,f1150,f2341,f1648]) ).
fof(f2345,definition,
( sQ118_spl
<=> nil = sk7 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f2346,plain,
( ~ sQ118_spl
| nil = sk7 ),
inference(component_clause,[status(thm)],[f2345]) ).
fof(f2348,plain,
( ~ sQ87_spl
| sQ118_spl
| ~ sQ38_spl
| ~ sQ116_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2324,f472,f2338,f1150,f2345,f1648]) ).
fof(f2349,definition,
! [X0] :
( sQ119_spl
<=> ( memberP(sk7,X0)
| memberP(app(sk3,app(sk3,sk8)),X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f2352,plain,
( ~ sQ87_spl
| ~ sQ38_spl
| ~ sQ116_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f2325,f2349,f2338,f1150,f1648]) ).
fof(f2353,definition,
! [X0] :
( sQ120_spl
<=> ( cons(X0,sk3) = app(cons(X0,sk7),app(sk3,app(sk3,sk8)))
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f2356,plain,
( ~ sQ87_spl
| ~ sQ116_spl
| ~ sQ38_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f2326,f2353,f1150,f2338,f1648]) ).
fof(f2357,definition,
! [X0] :
( sQ121_spl
<=> ( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f2360,plain,
( ~ sQ87_spl
| ~ sQ38_spl
| ~ sQ116_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f2327,f2357,f2338,f1150,f1648]) ).
fof(f2361,definition,
! [X0] :
( sQ122_spl
<=> ( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ memberP(app(sk3,app(sk3,sk8)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f2364,plain,
( ~ sQ87_spl
| ~ sQ38_spl
| ~ sQ116_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f2328,f2361,f2338,f1150,f1648]) ).
fof(f2365,definition,
! [X0] :
( sQ123_spl
<=> ( X0 = sk7
| ~ ssList(X0)
| app(X0,app(sk3,app(sk3,sk8))) != sk3 ) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f2368,plain,
( ~ sQ87_spl
| ~ sQ38_spl
| ~ sQ116_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f2329,f2365,f2338,f1150,f1648]) ).
fof(f2370,definition,
! [X0] :
( sQ124_spl
<=> ( app(sk3,X0) = app(sk7,app(app(sk3,app(sk3,sk8)),X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f2373,plain,
( ~ sQ87_spl
| ~ sQ38_spl
| ~ sQ116_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f2331,f2370,f2338,f1150,f1648]) ).
fof(f2374,definition,
( sQ125_spl
<=> rearsegP(sk3,app(sk3,app(sk3,sk8))) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f2375,plain,
( ~ sQ125_spl
| rearsegP(sk3,app(sk3,app(sk3,sk8))) ),
inference(component_clause,[status(thm)],[f2374]) ).
fof(f2377,plain,
( ~ sQ87_spl
| sQ125_spl
| ~ sQ116_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f2332,f1150,f2338,f2374,f1648]) ).
fof(f2378,definition,
( sQ126_spl
<=> frontsegP(sk3,sk7) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f2379,plain,
( ~ sQ126_spl
| frontsegP(sk3,sk7) ),
inference(component_clause,[status(thm)],[f2378]) ).
fof(f2381,plain,
( ~ sQ87_spl
| sQ126_spl
| ~ sQ38_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f2333,f2338,f1150,f2378,f1648]) ).
fof(f2382,definition,
! [X0] :
( sQ127_spl
<=> ( X0 = app(sk3,app(sk3,sk8))
| ~ ssList(X0)
| app(sk7,X0) != sk3 ) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f2383,plain,
! [X0] :
( ~ sQ127_spl
| X0 = app(sk3,app(sk3,sk8))
| ~ ssList(X0)
| app(sk7,X0) != sk3 ),
inference(component_clause,[status(thm)],[f2382]) ).
fof(f2385,plain,
( ~ sQ87_spl
| ~ sQ116_spl
| ~ sQ38_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f2334,f2382,f1150,f2338,f1648]) ).
fof(f2389,plain,
( sQ116_spl
| ~ ssList(sk3)
| ~ ssList(app(sk3,sk8)) ),
inference(resolution,[status(thm)],[f2340,f291]) ).
fof(f2390,plain,
( sQ116_spl
| ~ sQ17_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f2389,f1645,f701,f2338]) ).
fof(f2445,plain,
( ~ sQ5_spl
| tl(sk3) = nil
| ~ ssList(nil)
| ~ ssItem(sk9) ),
inference(paramodulation,[status(thm)],[f477,f302]) ).
fof(f2446,definition,
( sQ128_spl
<=> tl(sk3) = nil ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f2447,plain,
( ~ sQ128_spl
| tl(sk3) = nil ),
inference(component_clause,[status(thm)],[f2446]) ).
fof(f2449,plain,
( ~ sQ5_spl
| sQ128_spl
| ~ sQ22_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2445,f465,f894,f2446,f476]) ).
fof(f2452,definition,
( sQ129_spl
<=> duplicatefreeP(nil) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f2490,plain,
! [X0] :
( ~ sQ87_spl
| segmentP(app(sk3,X0),app(sk3,app(sk3,sk8)))
| ~ ssList(app(app(sk7,app(sk3,app(sk3,sk8))),X0))
| ~ ssList(app(sk3,app(sk3,sk8)))
| ~ ssList(sk7)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1649,f511]) ).
fof(f2491,plain,
! [X0] :
( ~ sQ48_spl
| segmentP(app(sk3,X0),nil)
| ~ ssList(app(app(sk3,nil),X0))
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1236,f511]) ).
fof(f2494,definition,
( sQ130_spl
<=> ssList(app(app(sk7,sk3),app(sk3,sk8))) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f2496,plain,
( sQ130_spl
| ~ ssList(app(app(sk7,sk3),app(sk3,sk8))) ),
inference(component_clause,[status(thm)],[f2494]) ).
fof(f2497,definition,
( sQ131_spl
<=> segmentP(sk3,sk3) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f2498,plain,
( ~ sQ131_spl
| segmentP(sk3,sk3) ),
inference(component_clause,[status(thm)],[f2497]) ).
fof(f2499,plain,
( sQ131_spl
| ~ segmentP(sk3,sk3) ),
inference(component_clause,[status(thm)],[f2497]) ).
fof(f2505,definition,
! [X0] :
( sQ133_spl
<=> ( segmentP(app(sk3,X0),app(sk3,app(sk3,sk8)))
| ~ ssList(app(app(sk7,app(sk3,app(sk3,sk8))),X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f2508,plain,
( ~ sQ87_spl
| ~ sQ116_spl
| ~ sQ38_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f2490,f2505,f1150,f2338,f1648]) ).
fof(f2509,definition,
! [X0] :
( sQ134_spl
<=> ( segmentP(app(sk3,X0),nil)
| ~ ssList(app(app(sk3,nil),X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f2512,plain,
( ~ sQ48_spl
| ~ sQ22_spl
| ~ sQ17_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f2491,f2509,f701,f894,f1235]) ).
fof(f2536,plain,
( ~ sQ5_spl
| ~ sQ1_spl
| ~ ssList(nil)
| sk3 != nil ),
inference(paramodulation,[status(thm)],[f477,f916]) ).
fof(f2537,plain,
( ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2536,f472,f894,f461,f476]) ).
fof(f2657,definition,
( sQ152_spl
<=> hd(sk3) = sk9 ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f2659,plain,
( sQ152_spl
| hd(sk3) != sk9 ),
inference(component_clause,[status(thm)],[f2657]) ).
fof(f2666,plain,
! [X0,X1] :
( ~ sQ87_spl
| segmentP(app(sk3,X1),X0)
| ~ ssList(app(sk3,app(sk3,sk8)))
| ~ ssList(X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ segmentP(app(sk3,app(sk3,sk8)),X0) ),
inference(paramodulation,[status(thm)],[f1649,f410]) ).
fof(f2667,plain,
! [X0,X1] :
( ~ sQ48_spl
| segmentP(app(sk3,X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1236,f410]) ).
fof(f2679,definition,
! [X0,X1] :
( sQ155_spl
<=> ( segmentP(app(sk3,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(app(sk3,app(sk3,sk8)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f2682,plain,
( ~ sQ87_spl
| ~ sQ116_spl
| ~ sQ38_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f2666,f2679,f1150,f2338,f1648]) ).
fof(f2683,definition,
! [X0,X1] :
( sQ156_spl
<=> ( segmentP(app(sk3,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f2684,plain,
! [X0,X1] :
( ~ sQ156_spl
| segmentP(app(sk3,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(component_clause,[status(thm)],[f2683]) ).
fof(f2686,plain,
( ~ sQ48_spl
| ~ sQ22_spl
| ~ sQ17_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f2667,f2683,f701,f894,f1235]) ).
fof(f2691,definition,
! [X0,X1] :
( sQ158_spl
<=> ( segmentP(app(sk3,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk8,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f2692,plain,
! [X0,X1] :
( ~ sQ158_spl
| segmentP(app(sk3,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk8,X0) ),
inference(component_clause,[status(thm)],[f2691]) ).
fof(f2695,plain,
! [X0] :
( nil = skaf48(X0,nil)
| ~ ssList(app(skaf47(nil,X0),X0))
| ~ ssList(skaf48(X0,nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(resolution,[status(thm)],[f404,f335]) ).
fof(f2696,plain,
! [X0] :
( nil = app(skaf47(nil,X0),X0)
| ~ ssList(app(skaf47(nil,X0),X0))
| ~ ssList(skaf48(X0,nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(resolution,[status(thm)],[f404,f333]) ).
fof(f2697,definition,
! [X0] :
( sQ159_spl
<=> ( nil = skaf48(X0,nil)
| ~ ssList(app(skaf47(nil,X0),X0))
| ~ ssList(skaf48(X0,nil))
| ~ ssList(X0)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f2700,plain,
( ~ sQ22_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f2695,f2697,f894]) ).
fof(f2701,definition,
! [X0] :
( sQ160_spl
<=> ( nil = app(skaf47(nil,X0),X0)
| ~ ssList(app(skaf47(nil,X0),X0))
| ~ ssList(skaf48(X0,nil))
| ~ ssList(X0)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f2704,plain,
( ~ sQ22_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f2696,f2701,f894]) ).
fof(f2737,definition,
( sQ166_spl
<=> ssList(app(sk3,nil)) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f2739,plain,
( sQ166_spl
| ~ ssList(app(sk3,nil)) ),
inference(component_clause,[status(thm)],[f2737]) ).
fof(f2740,definition,
( sQ167_spl
<=> segmentP(sk3,sk8) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f2741,plain,
( ~ sQ167_spl
| segmentP(sk3,sk8) ),
inference(component_clause,[status(thm)],[f2740]) ).
fof(f2744,plain,
( sQ166_spl
| ~ sQ48_spl
| ~ ssList(sk3) ),
inference(forward_demodulation,[status(thm)],[f1236,f2739]) ).
fof(f2745,plain,
( sQ166_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2744,f438]) ).
fof(f2746,plain,
( sQ166_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f2745]) ).
fof(f2748,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ156_spl
| segmentP(sk3,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1236,f2684]) ).
fof(f2749,definition,
! [X0] :
( sQ168_spl
<=> ( segmentP(sk3,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f2750,plain,
! [X0] :
( ~ sQ168_spl
| segmentP(sk3,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(component_clause,[status(thm)],[f2749]) ).
fof(f2752,plain,
( ~ sQ48_spl
| ~ sQ156_spl
| ~ sQ22_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f2748,f2749,f894,f2683,f1235]) ).
fof(f2753,plain,
( ~ sQ168_spl
| ~ ssList(nil)
| segmentP(sk3,nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f2750,f261]) ).
fof(f2755,definition,
( sQ169_spl
<=> segmentP(sk3,nil) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f2756,plain,
( ~ sQ169_spl
| segmentP(sk3,nil) ),
inference(component_clause,[status(thm)],[f2755]) ).
fof(f2758,plain,
( ~ sQ168_spl
| sQ169_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f2753,f894,f2755,f2749]) ).
fof(f2780,plain,
( ~ sQ101_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f213,f2816]) ).
fof(f2816,plain,
! [X0] :
( ~ sQ101_spl
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2120]) ).
fof(f2817,plain,
~ sQ101_spl,
inference(contradiction_clause,[status(thm)],[f2780]) ).
fof(f2855,definition,
! [X0] :
( sQ173_spl
<=> ( ssList(cons(X0,sk3))
| ~ ssList(cons(X0,app(app(sk7,sk3),sk3))) ) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f2883,definition,
! [X0] :
( sQ174_spl
<=> ( rearsegP(cons(X0,sk3),sk8)
| ~ ssList(cons(X0,app(app(sk7,sk3),sk3))) ) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f2898,definition,
! [X0] :
( sQ175_spl
<=> ( frontsegP(cons(X0,sk3),cons(X0,app(app(sk7,sk3),sk3)))
| ~ ssList(cons(X0,app(app(sk7,sk3),sk3))) ) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f2959,definition,
! [X0,X1] :
( sQ177_spl
<=> ( segmentP(app(cons(X1,sk3),X0),sk8)
| ~ ssList(app(app(cons(X1,app(app(sk7,sk3),sk3)),sk8),X0))
| ~ ssList(cons(X1,app(app(sk7,sk3),sk3)))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f2977,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ158_spl
| segmentP(sk3,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(sk8,X0) ),
inference(paramodulation,[status(thm)],[f1236,f2692]) ).
fof(f2978,definition,
! [X0] :
( sQ178_spl
<=> ( segmentP(sk3,X0)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f2979,plain,
! [X0] :
( ~ sQ178_spl
| segmentP(sk3,X0)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(component_clause,[status(thm)],[f2978]) ).
fof(f2981,plain,
( ~ sQ48_spl
| ~ sQ158_spl
| ~ sQ22_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f2977,f2978,f894,f2691,f1235]) ).
fof(f2983,plain,
( ~ sQ178_spl
| ~ ssList(sk8)
| segmentP(sk3,sk8)
| ~ ssList(sk8) ),
inference(resolution,[status(thm)],[f2979,f262]) ).
fof(f2985,plain,
( ~ sQ178_spl
| sQ167_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f2983,f1006,f2740,f2978]) ).
fof(f3076,definition,
( sQ188_spl
<=> ssList(skaf51(nil)) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f3078,plain,
( sQ188_spl
| ~ ssList(skaf51(nil)) ),
inference(component_clause,[status(thm)],[f3076]) ).
fof(f3081,plain,
( sQ188_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3078,f249]) ).
fof(f3082,plain,
sQ188_spl,
inference(contradiction_clause,[status(thm)],[f3081]) ).
fof(f3108,definition,
! [X0,X1] :
( sQ189_spl
<=> ( cons(X0,app(app(sk7,sk3),sk3)) = X1
| ~ ssList(X1)
| ~ ssList(cons(X0,app(app(sk7,sk3),sk3)))
| cons(X0,sk3) != app(X1,sk8) ) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f3134,definition,
! [X0,X1] :
( sQ190_spl
<=> ( app(cons(X1,sk3),X0) = app(cons(X1,app(app(sk7,sk3),sk3)),app(sk8,X0))
| ~ ssList(cons(X1,app(app(sk7,sk3),sk3)))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f3240,definition,
! [X0,X1,X2] :
( sQ198_spl
<=> ( segmentP(app(cons(X2,sk3),X1),X0)
| ~ ssList(X0)
| ~ ssList(cons(X2,app(app(sk7,sk3),sk3)))
| ~ ssList(X1)
| ~ segmentP(sk8,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f3270,definition,
! [X0,X1] :
( sQ199_spl
<=> ( sk8 = X1
| ~ ssList(X1)
| ~ ssList(cons(X0,app(app(sk7,sk3),sk3)))
| cons(X0,sk3) != app(cons(X0,app(app(sk7,sk3),sk3)),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f3290,plain,
! [X0] :
( ~ sQ127_spl
| X0 = app(sk3,sk8)
| ~ ssList(app(sk3,sk8))
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(app(sk3,X0))
| app(sk7,app(sk3,X0)) != sk3 ),
inference(resolution,[status(thm)],[f2383,f376]) ).
fof(f3291,plain,
! [X0] :
( ~ sQ127_spl
| X0 = sk3
| ~ ssList(sk3)
| ~ ssList(app(sk3,sk8))
| ~ ssList(X0)
| ~ ssList(app(X0,app(sk3,sk8)))
| app(sk7,app(X0,app(sk3,sk8))) != sk3 ),
inference(resolution,[status(thm)],[f2383,f378]) ).
fof(f3293,plain,
( ~ sQ51_spl
| ~ sQ127_spl
| app(sk3,sk8) = nil
| ~ ssList(app(sk3,sk8))
| ~ ssList(sk3)
| app(sk7,sk3) != sk3 ),
inference(resolution,[status(thm)],[f2383,f1260]) ).
fof(f3296,plain,
( ~ sQ127_spl
| nil = sk3
| ~ ssList(sk3)
| ~ ssList(app(sk3,sk8))
| ~ ssList(nil)
| app(sk7,nil) != sk3 ),
inference(resolution,[status(thm)],[f2383,f333]) ).
fof(f3298,definition,
! [X0] :
( sQ200_spl
<=> ( X0 = app(sk3,sk8)
| ~ ssList(X0)
| ~ ssList(app(sk3,X0))
| app(sk7,app(sk3,X0)) != sk3 ) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f3301,plain,
( ~ sQ127_spl
| ~ sQ86_spl
| ~ sQ17_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f3290,f3298,f701,f1645,f2382]) ).
fof(f3302,definition,
! [X0] :
( sQ201_spl
<=> ( X0 = sk3
| ~ ssList(X0)
| ~ ssList(app(X0,app(sk3,sk8)))
| app(sk7,app(X0,app(sk3,sk8))) != sk3 ) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f3305,plain,
( ~ sQ127_spl
| ~ sQ17_spl
| ~ sQ86_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f3291,f3302,f1645,f701,f2382]) ).
fof(f3310,definition,
( sQ203_spl
<=> app(sk7,sk3) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f3311,plain,
( ~ sQ203_spl
| app(sk7,sk3) = sk3 ),
inference(component_clause,[status(thm)],[f3310]) ).
fof(f3312,plain,
( sQ203_spl
| app(sk7,sk3) != sk3 ),
inference(component_clause,[status(thm)],[f3310]) ).
fof(f3313,plain,
( ~ sQ51_spl
| ~ sQ127_spl
| sQ96_spl
| ~ sQ86_spl
| ~ sQ17_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f3293,f3310,f701,f1645,f1684,f2382,f1259]) ).
fof(f3316,definition,
( sQ204_spl
<=> app(sk7,nil) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f3317,plain,
( ~ sQ204_spl
| app(sk7,nil) = sk3 ),
inference(component_clause,[status(thm)],[f3316]) ).
fof(f3318,plain,
( sQ204_spl
| app(sk7,nil) != sk3 ),
inference(component_clause,[status(thm)],[f3316]) ).
fof(f3319,plain,
( ~ sQ127_spl
| sQ4_spl
| ~ sQ17_spl
| ~ sQ86_spl
| ~ sQ22_spl
| ~ sQ204_spl ),
inference(split_clause,[status(thm)],[f3296,f3316,f894,f1645,f701,f472,f2382]) ).
fof(f3392,plain,
( ~ sQ96_spl
| nil = sk3
| ~ ssList(sk3)
| ~ ssList(sk8) ),
inference(resolution,[status(thm)],[f1685,f333]) ).
fof(f3394,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ158_spl
| segmentP(nil,X0)
| ~ ssList(X0)
| ~ ssList(sk8)
| ~ segmentP(sk8,X0) ),
inference(paramodulation,[status(thm)],[f1685,f2692]) ).
fof(f3395,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ156_spl
| segmentP(nil,X0)
| ~ ssList(X0)
| ~ ssList(sk8)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1685,f2684]) ).
fof(f3398,plain,
! [X0] :
( ~ sQ96_spl
| X0 = sk8
| ~ ssList(sk8)
| ~ ssList(sk3)
| ~ ssList(X0)
| app(sk3,X0) != nil ),
inference(paramodulation,[status(thm)],[f1685,f376]) ).
fof(f3400,plain,
! [X0,X1] :
( ~ sQ96_spl
| segmentP(app(nil,X1),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ segmentP(sk8,X0) ),
inference(paramodulation,[status(thm)],[f1685,f410]) ).
fof(f3401,plain,
! [X0] :
( ~ sQ96_spl
| app(nil,X0) = app(sk3,app(sk8,X0))
| ~ ssList(sk3)
| ~ ssList(sk8)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1685,f374]) ).
fof(f3402,plain,
! [X0] :
( ~ sQ96_spl
| X0 = sk3
| ~ ssList(sk3)
| ~ ssList(sk8)
| ~ ssList(X0)
| app(X0,sk8) != nil ),
inference(paramodulation,[status(thm)],[f1685,f378]) ).
fof(f3407,plain,
! [X0] :
( ~ sQ96_spl
| segmentP(app(nil,X0),sk8)
| ~ ssList(app(app(sk3,sk8),X0))
| ~ ssList(sk8)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1685,f511]) ).
fof(f3409,plain,
( ~ sQ96_spl
| frontsegP(nil,sk3)
| ~ ssList(sk3)
| ~ ssList(sk8) ),
inference(paramodulation,[status(thm)],[f1685,f508]) ).
fof(f3410,plain,
( ~ sQ96_spl
| rearsegP(nil,sk8)
| ~ ssList(sk8)
| ~ ssList(sk3) ),
inference(paramodulation,[status(thm)],[f1685,f506]) ).
fof(f3412,plain,
( ~ sQ96_spl
| sQ4_spl
| ~ sQ17_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f3392,f1006,f701,f472,f1684]) ).
fof(f3414,definition,
! [X0] :
( sQ205_spl
<=> ( segmentP(nil,X0)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f3417,plain,
( ~ sQ96_spl
| ~ sQ158_spl
| ~ sQ24_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f3394,f3414,f1006,f2691,f1684]) ).
fof(f3418,definition,
! [X0] :
( sQ206_spl
<=> ( segmentP(nil,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f3421,plain,
( ~ sQ96_spl
| ~ sQ156_spl
| ~ sQ24_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f3395,f3418,f1006,f2683,f1684]) ).
fof(f3427,definition,
! [X0] :
( sQ208_spl
<=> ( X0 = sk8
| ~ ssList(X0)
| app(sk3,X0) != nil ) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f3430,plain,
( ~ sQ96_spl
| ~ sQ24_spl
| ~ sQ17_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f3398,f3427,f701,f1006,f1684]) ).
fof(f3432,definition,
! [X0,X1] :
( sQ209_spl
<=> ( segmentP(app(nil,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk8,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f3435,plain,
( ~ sQ96_spl
| ~ sQ24_spl
| ~ sQ17_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f3400,f3432,f701,f1006,f1684]) ).
fof(f3436,definition,
! [X0] :
( sQ210_spl
<=> ( app(nil,X0) = app(sk3,app(sk8,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f3439,plain,
( ~ sQ96_spl
| ~ sQ17_spl
| ~ sQ24_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f3401,f3436,f1006,f701,f1684]) ).
fof(f3440,definition,
! [X0] :
( sQ211_spl
<=> ( X0 = sk3
| ~ ssList(X0)
| app(X0,sk8) != nil ) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f3443,plain,
( ~ sQ96_spl
| ~ sQ17_spl
| ~ sQ24_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f3402,f3440,f1006,f701,f1684]) ).
fof(f3451,definition,
! [X0] :
( sQ213_spl
<=> ( segmentP(app(nil,X0),sk8)
| ~ ssList(app(app(sk3,sk8),X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f3454,plain,
( ~ sQ96_spl
| ~ sQ24_spl
| ~ sQ17_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f3407,f3451,f701,f1006,f1684]) ).
fof(f3459,definition,
( sQ215_spl
<=> frontsegP(nil,sk3) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f3462,plain,
( ~ sQ96_spl
| sQ215_spl
| ~ sQ17_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f3409,f1006,f701,f3459,f1684]) ).
fof(f3463,definition,
( sQ216_spl
<=> rearsegP(nil,sk8) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f3464,plain,
( ~ sQ216_spl
| rearsegP(nil,sk8) ),
inference(component_clause,[status(thm)],[f3463]) ).
fof(f3466,plain,
( ~ sQ96_spl
| sQ216_spl
| ~ sQ24_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f3410,f701,f1006,f3463,f1684]) ).
fof(f3508,plain,
( ~ sQ48_spl
| ~ sQ44_spl
| app(sk3,sk8) = sk3 ),
inference(backward_demodulation,[status(thm)],[f1212,f1236]) ).
fof(f3517,plain,
( sQ96_spl
| ~ sQ44_spl
| sk8 != app(sk3,sk8) ),
inference(backward_demodulation,[status(thm)],[f1212,f1686]) ).
fof(f3611,plain,
( ~ sQ116_spl
| ~ sQ48_spl
| ~ sQ44_spl
| ssList(app(sk3,sk3)) ),
inference(backward_demodulation,[status(thm)],[f3508,f2339]) ).
fof(f3627,plain,
( sQ96_spl
| ~ sQ44_spl
| ~ sQ48_spl
| sk8 != sk3 ),
inference(forward_demodulation,[status(thm)],[f3508,f3517]) ).
fof(f3685,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ44_spl
| X0 = sk8
| ~ ssList(sk8)
| ~ ssList(sk3)
| ~ ssList(X0)
| app(sk3,X0) != sk3 ),
inference(paramodulation,[status(thm)],[f3508,f376]) ).
fof(f3687,plain,
! [X0,X1] :
( ~ sQ48_spl
| ~ sQ44_spl
| segmentP(app(sk3,X1),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ segmentP(sk8,X0) ),
inference(paramodulation,[status(thm)],[f3508,f410]) ).
fof(f3688,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ44_spl
| app(sk3,X0) = app(sk3,app(sk8,X0))
| ~ ssList(sk3)
| ~ ssList(sk8)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f3508,f374]) ).
fof(f3689,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ44_spl
| X0 = sk3
| ~ ssList(sk3)
| ~ ssList(sk8)
| ~ ssList(X0)
| app(X0,sk8) != sk3 ),
inference(paramodulation,[status(thm)],[f3508,f378]) ).
fof(f3692,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ44_spl
| segmentP(app(sk3,X0),sk8)
| ~ ssList(app(app(sk3,sk8),X0))
| ~ ssList(sk8)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f3508,f511]) ).
fof(f3706,definition,
! [X0] :
( sQ219_spl
<=> ( X0 = sk8
| ~ ssList(X0)
| app(sk3,X0) != sk3 ) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f3709,plain,
( ~ sQ48_spl
| ~ sQ44_spl
| ~ sQ24_spl
| ~ sQ17_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f3685,f3706,f701,f1006,f1211,f1235]) ).
fof(f3711,plain,
( ~ sQ48_spl
| ~ sQ44_spl
| ~ sQ24_spl
| ~ sQ17_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f3687,f2691,f701,f1006,f1211,f1235]) ).
fof(f3712,definition,
! [X0] :
( sQ220_spl
<=> ( app(sk3,X0) = app(sk3,app(sk8,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f3715,plain,
( ~ sQ48_spl
| ~ sQ44_spl
| ~ sQ17_spl
| ~ sQ24_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f3688,f3712,f1006,f701,f1211,f1235]) ).
fof(f3716,definition,
! [X0] :
( sQ221_spl
<=> ( X0 = sk3
| ~ ssList(X0)
| app(X0,sk8) != sk3 ) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f3719,plain,
( ~ sQ48_spl
| ~ sQ44_spl
| ~ sQ17_spl
| ~ sQ24_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f3689,f3716,f1006,f701,f1211,f1235]) ).
fof(f3722,definition,
! [X0] :
( sQ222_spl
<=> ( segmentP(app(sk3,X0),sk8)
| ~ ssList(app(app(sk3,sk8),X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f3725,plain,
( ~ sQ48_spl
| ~ sQ44_spl
| ~ sQ24_spl
| ~ sQ17_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f3692,f3722,f701,f1006,f1211,f1235]) ).
fof(f3756,definition,
( sQ223_spl
<=> app(sk3,sk8) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f3784,definition,
( sQ228_spl
<=> sk3 = sk8 ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f3785,plain,
( ~ sQ228_spl
| sk3 = sk8 ),
inference(component_clause,[status(thm)],[f3784]) ).
fof(f3827,plain,
! [X0] :
( ~ sQ44_spl
| app(sk8,X0) = X0
| ~ ssList(X0)
| ~ ssList(sk8)
| ~ ssList(app(sk8,X0))
| ~ ssList(app(sk8,X0)) ),
inference(resolution,[status(thm)],[f1716,f376]) ).
fof(f3829,definition,
! [X0] :
( sQ235_spl
<=> ( app(sk8,X0) = X0
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ ssList(app(sk8,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f3832,plain,
( ~ sQ44_spl
| ~ sQ24_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f3827,f3829,f1006,f1211]) ).
fof(f3835,plain,
! [X0] :
( ~ sQ44_spl
| app(X0,sk8) = X0
| ~ ssList(X0)
| ~ ssList(sk8)
| ~ ssList(app(X0,sk8))
| ~ ssList(app(X0,sk8)) ),
inference(resolution,[status(thm)],[f1715,f378]) ).
fof(f3838,definition,
! [X0] :
( sQ236_spl
<=> ( app(X0,sk8) = X0
| ~ ssList(X0)
| ~ ssList(app(X0,sk8))
| ~ ssList(app(X0,sk8)) ) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f3841,plain,
( ~ sQ44_spl
| ~ sQ24_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f3835,f3838,f1006,f1211]) ).
fof(f3852,plain,
! [X0] :
( ~ sQ44_spl
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| sk8 = app(skaf47(sk8,X0),X0)
| ~ ssList(app(skaf47(sk8,X0),X0))
| ~ ssList(skaf48(X0,sk8)) ),
inference(resolution,[status(thm)],[f2011,f404]) ).
fof(f3857,definition,
! [X0] :
( sQ237_spl
<=> ( ~ ssList(X0)
| ~ segmentP(sk8,X0)
| sk8 = app(skaf47(sk8,X0),X0)
| ~ ssList(app(skaf47(sk8,X0),X0))
| ~ ssList(skaf48(X0,sk8)) ) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f3860,plain,
( ~ sQ44_spl
| ~ sQ24_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f3852,f3857,f1006,f1211]) ).
fof(f3861,definition,
( sQ238_spl
<=> ssList(cons(skaf50(sk8),skaf53(sk8))) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f3863,plain,
( sQ238_spl
| ~ ssList(cons(skaf50(sk8),skaf53(sk8))) ),
inference(component_clause,[status(thm)],[f3861]) ).
fof(f3864,definition,
( sQ239_spl
<=> ssList(app(skaf51(sk8),cons(skaf49(sk8),skaf52(sk8)))) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f3866,plain,
( sQ239_spl
| ~ ssList(app(skaf51(sk8),cons(skaf49(sk8),skaf52(sk8)))) ),
inference(component_clause,[status(thm)],[f3864]) ).
fof(f3908,definition,
( sQ242_spl
<=> ssList(app(sk3,sk3)) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f3910,plain,
( sQ242_spl
| ~ ssList(app(sk3,sk3)) ),
inference(component_clause,[status(thm)],[f3908]) ).
fof(f3911,definition,
( sQ243_spl
<=> sk8 = sk7 ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f3912,plain,
( ~ sQ243_spl
| sk8 = sk7 ),
inference(component_clause,[status(thm)],[f3911]) ).
fof(f3956,plain,
( sQ242_spl
| ~ sQ116_spl
| ~ sQ48_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3910,f3611]) ).
fof(f3957,plain,
( sQ242_spl
| ~ sQ116_spl
| ~ sQ48_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f3956]) ).
fof(f3983,plain,
! [X0] :
( ~ sQ44_spl
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| sk8 = skaf48(X0,sk8)
| ~ ssList(app(skaf47(sk8,X0),X0))
| ~ ssList(skaf48(X0,sk8)) ),
inference(resolution,[status(thm)],[f2012,f404]) ).
fof(f3988,definition,
! [X0] :
( sQ253_spl
<=> ( ~ ssList(X0)
| ~ segmentP(sk8,X0)
| sk8 = skaf48(X0,sk8)
| ~ ssList(app(skaf47(sk8,X0),X0))
| ~ ssList(skaf48(X0,sk8)) ) ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f3991,plain,
( ~ sQ44_spl
| ~ sQ24_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f3983,f3988,f1006,f1211]) ).
fof(f4007,definition,
( sQ255_spl
<=> singletonP(sk8) ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f4187,definition,
! [X0] :
( sQ273_spl
<=> cons(X0,sk3) = app(cons(X0,app(app(sk7,sk3),sk3)),sk8) ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f4188,plain,
! [X0] :
( ~ sQ273_spl
| cons(X0,sk3) = app(cons(X0,app(app(sk7,sk3),sk3)),sk8) ),
inference(component_clause,[status(thm)],[f4187]) ).
fof(f4453,definition,
( sQ285_spl
<=> frontsegP(nil,nil) ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f4454,plain,
( ~ sQ285_spl
| frontsegP(nil,nil) ),
inference(component_clause,[status(thm)],[f4453]) ).
fof(f4455,plain,
( sQ285_spl
| ~ frontsegP(nil,nil) ),
inference(component_clause,[status(thm)],[f4453]) ).
fof(f4507,plain,
( ~ sQ128_spl
| nil = sk3
| cons(hd(sk3),nil) = sk3
| ~ ssList(sk3) ),
inference(paramodulation,[status(thm)],[f2447,f312]) ).
fof(f4521,definition,
( sQ289_spl
<=> cons(hd(sk3),nil) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f4522,plain,
( ~ sQ289_spl
| cons(hd(sk3),nil) = sk3 ),
inference(component_clause,[status(thm)],[f4521]) ).
fof(f4524,plain,
( ~ sQ128_spl
| sQ4_spl
| sQ289_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4507,f701,f4521,f472,f2446]) ).
fof(f4538,definition,
( sQ291_spl
<=> ssList(skaf82(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f4540,plain,
( sQ291_spl
| ~ ssList(skaf82(sk3)) ),
inference(component_clause,[status(thm)],[f4538]) ).
fof(f4541,definition,
( sQ292_spl
<=> nil = skaf82(sk3) ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f4542,plain,
( ~ sQ292_spl
| nil = skaf82(sk3) ),
inference(component_clause,[status(thm)],[f4541]) ).
fof(f4551,plain,
( sQ291_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4540,f218]) ).
fof(f4552,plain,
sQ291_spl,
inference(contradiction_clause,[status(thm)],[f4551]) ).
fof(f4556,definition,
( sQ294_spl
<=> cons(skaf83(sk3),nil) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f4557,plain,
( ~ sQ294_spl
| cons(skaf83(sk3),nil) = sk3 ),
inference(component_clause,[status(thm)],[f4556]) ).
fof(f4562,definition,
( sQ295_spl
<=> cons(sk9,skaf82(sk3)) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f4563,plain,
( ~ sQ295_spl
| cons(sk9,skaf82(sk3)) = sk3 ),
inference(component_clause,[status(thm)],[f4562]) ).
fof(f4589,plain,
! [X0] :
( ~ ssList(X0)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(nil,X0) ),
inference(resolution,[status(thm)],[f345,f261]) ).
fof(f4599,definition,
( sQ299_spl
<=> segmentP(nil,sk3) ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f4601,plain,
( sQ299_spl
| ~ segmentP(nil,sk3) ),
inference(component_clause,[status(thm)],[f4599]) ).
fof(f4603,definition,
( sQ300_spl
<=> segmentP(sk8,sk3) ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f4605,plain,
( sQ300_spl
| ~ segmentP(sk8,sk3) ),
inference(component_clause,[status(thm)],[f4603]) ).
fof(f4608,definition,
! [X0] :
( sQ301_spl
<=> ( ~ ssList(X0)
| X0 = nil
| ~ ssList(X0)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f4611,plain,
( ~ sQ22_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f4589,f4608,f894]) ).
fof(f4621,plain,
( ~ sQ125_spl
| sk3 = app(sk3,app(sk3,sk8))
| ~ ssList(sk3)
| ~ ssList(app(sk3,app(sk3,sk8)))
| ~ rearsegP(app(sk3,app(sk3,sk8)),sk3) ),
inference(resolution,[status(thm)],[f346,f2375]) ).
fof(f4623,plain,
( ~ sQ49_spl
| sk3 = nil
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ rearsegP(nil,sk3) ),
inference(resolution,[status(thm)],[f346,f1252]) ).
fof(f4625,plain,
! [X0] :
( ~ ssList(X0)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(nil)
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f346,f263]) ).
fof(f4629,definition,
( sQ302_spl
<=> rearsegP(app(sk3,app(sk3,sk8)),sk3) ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f4631,plain,
( sQ302_spl
| ~ rearsegP(app(sk3,app(sk3,sk8)),sk3) ),
inference(component_clause,[status(thm)],[f4629]) ).
fof(f4632,definition,
( sQ303_spl
<=> sk3 = app(sk3,app(sk3,sk8)) ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f4635,plain,
( ~ sQ125_spl
| sQ303_spl
| ~ sQ17_spl
| ~ sQ116_spl
| ~ sQ302_spl ),
inference(split_clause,[status(thm)],[f4621,f4629,f2338,f701,f4632,f2374]) ).
fof(f4636,definition,
( sQ304_spl
<=> rearsegP(app(sk3,sk8),sk3) ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f4638,plain,
( sQ304_spl
| ~ rearsegP(app(sk3,sk8),sk3) ),
inference(component_clause,[status(thm)],[f4636]) ).
fof(f4640,definition,
( sQ305_spl
<=> rearsegP(nil,sk3) ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f4643,plain,
( ~ sQ49_spl
| sQ4_spl
| ~ sQ17_spl
| ~ sQ22_spl
| ~ sQ305_spl ),
inference(split_clause,[status(thm)],[f4623,f4640,f894,f701,f472,f1251]) ).
fof(f4644,definition,
( sQ306_spl
<=> rearsegP(sk8,sk3) ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f4646,plain,
( sQ306_spl
| ~ rearsegP(sk8,sk3) ),
inference(component_clause,[status(thm)],[f4644]) ).
fof(f4648,definition,
! [X0] :
( sQ307_spl
<=> ( ~ ssList(X0)
| X0 = nil
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f4651,plain,
( ~ sQ22_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f4625,f4648,f894]) ).
fof(f4708,definition,
( sQ308_spl
<=> rearsegP(sk3,sk3) ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f4710,plain,
( sQ308_spl
| ~ rearsegP(sk3,sk3) ),
inference(component_clause,[status(thm)],[f4708]) ).
fof(f4727,definition,
! [X0,X1] :
( sQ311_spl
<=> ( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f4728,plain,
! [X0,X1] :
( ~ sQ311_spl
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ),
inference(component_clause,[status(thm)],[f4727]) ).
fof(f4735,definition,
! [X0] :
( sQ313_spl
<=> ( frontsegP(cons(sk9,X0),sk3)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f4736,plain,
! [X0] :
( ~ sQ313_spl
| frontsegP(cons(sk9,X0),sk3)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ),
inference(component_clause,[status(thm)],[f4735]) ).
fof(f4739,plain,
! [X0] :
( ~ sQ313_spl
| frontsegP(cons(sk9,X0),sk3)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f4736,f265]) ).
fof(f4742,definition,
( sQ314_spl
<=> ssList(cons(skaf74(nil),skaf77(nil))) ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f4744,plain,
( sQ314_spl
| ~ ssList(cons(skaf74(nil),skaf77(nil))) ),
inference(component_clause,[status(thm)],[f4742]) ).
fof(f4912,plain,
( ~ sQ126_spl
| sk3 = sk7
| ~ ssList(sk3)
| ~ ssList(sk7)
| ~ frontsegP(sk7,sk3) ),
inference(resolution,[status(thm)],[f347,f2379]) ).
fof(f4914,plain,
! [X0] :
( ~ ssList(X0)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(nil)
| ~ frontsegP(nil,X0) ),
inference(resolution,[status(thm)],[f347,f265]) ).
fof(f4928,definition,
( sQ323_spl
<=> frontsegP(app(app(sk7,sk3),sk3),sk3) ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f4930,plain,
( sQ323_spl
| ~ frontsegP(app(app(sk7,sk3),sk3),sk3) ),
inference(component_clause,[status(thm)],[f4928]) ).
fof(f4931,definition,
( sQ324_spl
<=> sk3 = app(app(sk7,sk3),sk3) ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f4932,plain,
( ~ sQ324_spl
| sk3 = app(app(sk7,sk3),sk3) ),
inference(component_clause,[status(thm)],[f4931]) ).
fof(f4933,plain,
( sQ324_spl
| sk3 != app(app(sk7,sk3),sk3) ),
inference(component_clause,[status(thm)],[f4931]) ).
fof(f4935,definition,
( sQ325_spl
<=> frontsegP(app(sk7,sk3),sk3) ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f4937,plain,
( sQ325_spl
| ~ frontsegP(app(sk7,sk3),sk3) ),
inference(component_clause,[status(thm)],[f4935]) ).
fof(f4939,definition,
( sQ326_spl
<=> frontsegP(sk7,sk3) ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f4941,plain,
( sQ326_spl
| ~ frontsegP(sk7,sk3) ),
inference(component_clause,[status(thm)],[f4939]) ).
fof(f4942,definition,
( sQ327_spl
<=> sk3 = sk7 ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f4943,plain,
( ~ sQ327_spl
| sk3 = sk7 ),
inference(component_clause,[status(thm)],[f4942]) ).
fof(f4945,plain,
( ~ sQ126_spl
| sQ327_spl
| ~ sQ17_spl
| ~ sQ38_spl
| ~ sQ326_spl ),
inference(split_clause,[status(thm)],[f4912,f4939,f1150,f701,f4942,f2378]) ).
fof(f4947,definition,
! [X0] :
( sQ328_spl
<=> ( ~ ssList(X0)
| X0 = nil
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f4950,plain,
( ~ sQ22_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f4914,f4947,f894]) ).
fof(f4954,plain,
! [X0] :
( nil = X0
| ~ ssList(skaf46(nil,X0))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f349,f335]) ).
fof(f4955,plain,
! [X0] :
( nil = skaf46(nil,X0)
| ~ ssList(skaf46(nil,X0))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f349,f333]) ).
fof(f4957,plain,
( ~ sQ60_spl
| sk3 = skaf46(sk3,nil)
| ~ ssList(skaf46(sk3,nil))
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ rearsegP(sk3,nil) ),
inference(resolution,[status(thm)],[f349,f1334]) ).
fof(f4959,definition,
! [X0] :
( sQ329_spl
<=> ( nil = X0
| ~ ssList(skaf46(nil,X0))
| ~ ssList(X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f4962,plain,
( ~ sQ22_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f4954,f4959,f894]) ).
fof(f4963,definition,
! [X0] :
( sQ330_spl
<=> ( nil = skaf46(nil,X0)
| ~ ssList(skaf46(nil,X0))
| ~ ssList(X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).
fof(f4966,plain,
( ~ sQ22_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f4955,f4963,f894]) ).
fof(f4969,definition,
( sQ331_spl
<=> ssList(skaf46(sk3,nil)) ),
introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition]) ).
fof(f4971,plain,
( sQ331_spl
| ~ ssList(skaf46(sk3,nil)) ),
inference(component_clause,[status(thm)],[f4969]) ).
fof(f4972,definition,
( sQ332_spl
<=> sk3 = skaf46(sk3,nil) ),
introduced(definition,[new_symbols(definition,[sQ332_spl])],[split_symbol_definition]) ).
fof(f4973,plain,
( ~ sQ332_spl
| sk3 = skaf46(sk3,nil) ),
inference(component_clause,[status(thm)],[f4972]) ).
fof(f4975,plain,
( ~ sQ60_spl
| sQ332_spl
| ~ sQ331_spl
| ~ sQ17_spl
| ~ sQ22_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f4957,f1251,f894,f701,f4969,f4972,f1333]) ).
fof(f4980,plain,
( sQ331_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4971,f255]) ).
fof(f4981,plain,
sQ331_spl,
inference(contradiction_clause,[status(thm)],[f4980]) ).
fof(f4986,plain,
( ~ sQ51_spl
| skaf45(sk3,sk3) = nil
| ~ ssList(skaf45(sk3,sk3))
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ frontsegP(sk3,sk3) ),
inference(resolution,[status(thm)],[f350,f1260]) ).
fof(f4987,plain,
! [X0] :
( nil = skaf45(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf45(nil,X0))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(resolution,[status(thm)],[f350,f335]) ).
fof(f4988,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(skaf45(nil,X0))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(resolution,[status(thm)],[f350,f333]) ).
fof(f4991,definition,
( sQ333_spl
<=> ssList(skaf45(sk3,sk3)) ),
introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition]) ).
fof(f4993,plain,
( sQ333_spl
| ~ ssList(skaf45(sk3,sk3)) ),
inference(component_clause,[status(thm)],[f4991]) ).
fof(f4994,definition,
( sQ334_spl
<=> skaf45(sk3,sk3) = nil ),
introduced(definition,[new_symbols(definition,[sQ334_spl])],[split_symbol_definition]) ).
fof(f4997,plain,
( ~ sQ51_spl
| sQ334_spl
| ~ sQ333_spl
| ~ sQ17_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f4986,f1255,f701,f4991,f4994,f1259]) ).
fof(f4998,definition,
! [X0] :
( sQ335_spl
<=> ( nil = skaf45(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf45(nil,X0))
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition]) ).
fof(f5001,plain,
( ~ sQ22_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f4987,f4998,f894]) ).
fof(f5002,definition,
! [X0] :
( sQ336_spl
<=> ( nil = X0
| ~ ssList(X0)
| ~ ssList(skaf45(nil,X0))
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition]) ).
fof(f5005,plain,
( ~ sQ22_spl
| sQ336_spl ),
inference(split_clause,[status(thm)],[f4988,f5002,f894]) ).
fof(f5012,plain,
( sQ333_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4993,f256]) ).
fof(f5013,plain,
sQ333_spl,
inference(contradiction_clause,[status(thm)],[f5012]) ).
fof(f5024,plain,
( ~ sQ87_spl
| hd(sk3) = hd(sk7)
| nil = sk7
| ~ ssList(sk7)
| ~ ssList(app(sk3,app(sk3,sk8))) ),
inference(paramodulation,[status(thm)],[f1649,f339]) ).
fof(f5027,plain,
( ~ sQ30_spl
| ~ sQ84_spl
| ~ sQ5_spl
| hd(sk3) = hd(app(sk7,sk3))
| nil = app(sk7,sk3)
| ~ ssList(app(sk7,sk3))
| ~ ssList(app(sk3,sk8)) ),
inference(paramodulation,[status(thm)],[f1571,f339]) ).
fof(f5029,definition,
( sQ337_spl
<=> hd(sk3) = hd(sk7) ),
introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition]) ).
fof(f5030,plain,
( ~ sQ337_spl
| hd(sk3) = hd(sk7) ),
inference(component_clause,[status(thm)],[f5029]) ).
fof(f5032,plain,
( ~ sQ87_spl
| sQ337_spl
| sQ118_spl
| ~ sQ38_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f5024,f2338,f1150,f2345,f5029,f1648]) ).
fof(f5041,definition,
( sQ340_spl
<=> hd(sk3) = hd(app(sk7,sk3)) ),
introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition]) ).
fof(f5042,plain,
( ~ sQ340_spl
| hd(sk3) = hd(app(sk7,sk3)) ),
inference(component_clause,[status(thm)],[f5041]) ).
fof(f5044,plain,
( ~ sQ30_spl
| ~ sQ84_spl
| ~ sQ5_spl
| sQ340_spl
| sQ95_spl
| ~ sQ89_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f5027,f1645,f1655,f1680,f5041,f476,f1520,f1047]) ).
fof(f5086,plain,
( ~ sQ332_spl
| ~ sQ118_spl
| sk3 = skaf46(sk3,sk7) ),
inference(backward_demodulation,[status(thm)],[f2346,f4973]) ).
fof(f5103,plain,
( ~ sQ285_spl
| ~ sQ118_spl
| frontsegP(nil,sk7) ),
inference(backward_demodulation,[status(thm)],[f2346,f4454]) ).
fof(f5116,plain,
! [X0] :
( ~ sQ118_spl
| rearsegP(X0,sk7)
| ~ ssList(X0) ),
inference(backward_demodulation,[status(thm)],[f2346,f263]) ).
fof(f5117,plain,
! [X0] :
( ~ sQ118_spl
| segmentP(X0,sk7)
| ~ ssList(X0) ),
inference(backward_demodulation,[status(thm)],[f2346,f261]) ).
fof(f5131,plain,
! [X0] :
( ~ sQ118_spl
| app(sk7,X0) = X0
| ~ ssList(X0) ),
inference(backward_demodulation,[status(thm)],[f2346,f280]) ).
fof(f5132,plain,
! [X0] :
( ~ sQ118_spl
| app(X0,sk7) = X0
| ~ ssList(X0) ),
inference(backward_demodulation,[status(thm)],[f2346,f279]) ).
fof(f5137,plain,
( ~ sQ49_spl
| ~ sQ118_spl
| rearsegP(sk3,sk7) ),
inference(backward_demodulation,[status(thm)],[f2346,f1252]) ).
fof(f5139,plain,
( ~ sQ169_spl
| ~ sQ118_spl
| segmentP(sk3,sk7) ),
inference(backward_demodulation,[status(thm)],[f2346,f2756]) ).
fof(f5226,plain,
( ~ sQ285_spl
| ~ sQ118_spl
| frontsegP(sk7,sk7) ),
inference(forward_demodulation,[status(thm)],[f2346,f5103]) ).
fof(f5241,plain,
( sQ302_spl
| ~ ssList(app(sk3,sk8))
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ rearsegP(app(sk3,sk8),sk3) ),
inference(resolution,[status(thm)],[f356,f4631]) ).
fof(f5242,plain,
( sQ304_spl
| ~ ssList(sk8)
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ rearsegP(sk8,sk3) ),
inference(resolution,[status(thm)],[f356,f4638]) ).
fof(f5244,plain,
! [X0] :
( ~ sQ87_spl
| rearsegP(sk3,X0)
| ~ ssList(app(sk3,app(sk3,sk8)))
| ~ ssList(X0)
| ~ ssList(sk7)
| ~ rearsegP(app(sk3,app(sk3,sk8)),X0) ),
inference(paramodulation,[status(thm)],[f1649,f356]) ).
fof(f5245,plain,
( sQ302_spl
| ~ sQ86_spl
| ~ sQ17_spl
| ~ sQ304_spl ),
inference(split_clause,[status(thm)],[f5241,f4636,f701,f1645,f4629]) ).
fof(f5246,plain,
( sQ304_spl
| ~ sQ24_spl
| ~ sQ17_spl
| ~ sQ306_spl ),
inference(split_clause,[status(thm)],[f5242,f4644,f701,f1006,f4636]) ).
fof(f5249,definition,
! [X0] :
( sQ342_spl
<=> ( rearsegP(sk3,X0)
| ~ ssList(X0)
| ~ rearsegP(app(sk3,app(sk3,sk8)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).
fof(f5252,plain,
( ~ sQ87_spl
| ~ sQ116_spl
| ~ sQ38_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f5244,f5249,f1150,f2338,f1648]) ).
fof(f5565,plain,
! [X0] :
( ~ sQ169_spl
| segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ segmentP(X0,sk3) ),
inference(resolution,[status(thm)],[f380,f2756]) ).
fof(f5566,plain,
! [X0] :
( ~ sQ131_spl
| segmentP(X0,sk3)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ segmentP(X0,sk3) ),
inference(resolution,[status(thm)],[f380,f2498]) ).
fof(f5567,plain,
! [X0] :
( ~ sQ167_spl
| segmentP(X0,sk8)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(sk8)
| ~ segmentP(X0,sk3) ),
inference(resolution,[status(thm)],[f380,f2741]) ).
fof(f5576,definition,
! [X0] :
( sQ352_spl
<=> ( segmentP(X0,nil)
| ~ ssList(X0)
| ~ segmentP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).
fof(f5579,plain,
( ~ sQ169_spl
| ~ sQ17_spl
| ~ sQ22_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f5565,f5576,f894,f701,f2755]) ).
fof(f5580,definition,
! [X0] :
( sQ353_spl
<=> ( segmentP(X0,sk3)
| ~ ssList(X0)
| ~ segmentP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition]) ).
fof(f5583,plain,
( ~ sQ131_spl
| ~ sQ17_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f5566,f5580,f701,f2497]) ).
fof(f5584,definition,
! [X0] :
( sQ354_spl
<=> ( segmentP(X0,sk8)
| ~ ssList(X0)
| ~ segmentP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ354_spl])],[split_symbol_definition]) ).
fof(f5585,plain,
! [X0] :
( ~ sQ354_spl
| segmentP(X0,sk8)
| ~ ssList(X0)
| ~ segmentP(X0,sk3) ),
inference(component_clause,[status(thm)],[f5584]) ).
fof(f5587,plain,
( ~ sQ167_spl
| ~ sQ17_spl
| ~ sQ24_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f5567,f5584,f1006,f701,f2740]) ).
fof(f5591,plain,
! [X0] :
( ~ sQ49_spl
| rearsegP(X0,nil)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ rearsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f382,f1252]) ).
fof(f5593,plain,
! [X0] :
( ~ sQ27_spl
| rearsegP(X0,sk8)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(sk8)
| ~ rearsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f382,f1017]) ).
fof(f5599,definition,
! [X0] :
( sQ355_spl
<=> ( rearsegP(X0,nil)
| ~ ssList(X0)
| ~ rearsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition]) ).
fof(f5602,plain,
( ~ sQ49_spl
| ~ sQ17_spl
| ~ sQ22_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f5591,f5599,f894,f701,f1251]) ).
fof(f5603,definition,
! [X0] :
( sQ356_spl
<=> ( rearsegP(X0,app(sk3,sk8))
| ~ ssList(X0)
| ~ rearsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ356_spl])],[split_symbol_definition]) ).
fof(f5607,definition,
! [X0] :
( sQ357_spl
<=> ( rearsegP(X0,sk8)
| ~ ssList(X0)
| ~ rearsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f5608,plain,
! [X0] :
( ~ sQ357_spl
| rearsegP(X0,sk8)
| ~ ssList(X0)
| ~ rearsegP(X0,sk3) ),
inference(component_clause,[status(thm)],[f5607]) ).
fof(f5610,plain,
( ~ sQ27_spl
| ~ sQ17_spl
| ~ sQ24_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f5593,f5607,f1006,f701,f1016]) ).
fof(f5615,plain,
! [X0] :
( ~ sQ126_spl
| frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(sk7)
| ~ frontsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f384,f2379]) ).
fof(f5616,plain,
! [X0] :
( ~ sQ50_spl
| frontsegP(X0,sk3)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ frontsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f384,f1256]) ).
fof(f5627,definition,
! [X0] :
( sQ359_spl
<=> ( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ frontsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ359_spl])],[split_symbol_definition]) ).
fof(f5628,plain,
! [X0] :
( ~ sQ359_spl
| frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ frontsegP(X0,sk3) ),
inference(component_clause,[status(thm)],[f5627]) ).
fof(f5630,plain,
( ~ sQ126_spl
| ~ sQ17_spl
| ~ sQ38_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f5615,f5627,f1150,f701,f2378]) ).
fof(f5631,definition,
! [X0] :
( sQ360_spl
<=> ( frontsegP(X0,sk3)
| ~ ssList(X0)
| ~ frontsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ360_spl])],[split_symbol_definition]) ).
fof(f5634,plain,
( ~ sQ50_spl
| ~ sQ17_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f5616,f5631,f701,f1255]) ).
fof(f5636,plain,
! [X0] :
( ~ sQ285_spl
| frontsegP(X0,nil)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ frontsegP(X0,nil) ),
inference(resolution,[status(thm)],[f4454,f384]) ).
fof(f5638,definition,
! [X0] :
( sQ361_spl
<=> ( frontsegP(X0,nil)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[sQ361_spl])],[split_symbol_definition]) ).
fof(f5641,plain,
( ~ sQ285_spl
| ~ sQ22_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f5636,f5638,f894,f4453]) ).
fof(f5645,definition,
! [X0] :
( sQ362_spl
<=> ( frontsegP(X0,nil)
| ~ ssList(X0)
| ~ frontsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ362_spl])],[split_symbol_definition]) ).
fof(f5750,definition,
! [X0] :
( sQ363_spl
<=> ( frontsegP(sk3,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ363_spl])],[split_symbol_definition]) ).
fof(f5751,plain,
! [X0] :
( ~ sQ363_spl
| frontsegP(sk3,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f5750]) ).
fof(f5784,definition,
( sQ370_spl
<=> frontsegP(sk3,nil) ),
introduced(definition,[new_symbols(definition,[sQ370_spl])],[split_symbol_definition]) ).
fof(f5785,plain,
( ~ sQ370_spl
| frontsegP(sk3,nil) ),
inference(component_clause,[status(thm)],[f5784]) ).
fof(f5815,plain,
( sQ114_spl
| ~ sQ118_spl
| sk7 != app(app(sk7,sk3),sk3) ),
inference(backward_demodulation,[status(thm)],[f2346,f2270]) ).
fof(f5942,definition,
( sQ372_spl
<=> sk7 = app(app(sk7,sk3),sk3) ),
introduced(definition,[new_symbols(definition,[sQ372_spl])],[split_symbol_definition]) ).
fof(f5943,plain,
( ~ sQ372_spl
| sk7 = app(app(sk7,sk3),sk3) ),
inference(component_clause,[status(thm)],[f5942]) ).
fof(f5947,plain,
! [X0] :
( ~ sQ285_spl
| ~ sQ118_spl
| frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ ssList(sk7)
| ~ ssList(sk7)
| ~ frontsegP(X0,sk7) ),
inference(resolution,[status(thm)],[f5226,f384]) ).
fof(f5948,plain,
( ~ sQ285_spl
| ~ sQ118_spl
| sk7 = sk7
| ~ ssList(sk7)
| ~ ssList(sk7)
| ~ frontsegP(sk7,sk7) ),
inference(resolution,[status(thm)],[f5226,f347]) ).
fof(f5949,definition,
! [X0] :
( sQ373_spl
<=> ( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ frontsegP(X0,sk7) ) ),
introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition]) ).
fof(f5952,plain,
( ~ sQ285_spl
| ~ sQ118_spl
| ~ sQ38_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f5947,f5949,f1150,f2345,f4453]) ).
fof(f5953,definition,
( sQ374_spl
<=> frontsegP(sk7,sk7) ),
introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition]) ).
fof(f5955,plain,
( sQ374_spl
| ~ frontsegP(sk7,sk7) ),
inference(component_clause,[status(thm)],[f5953]) ).
fof(f5956,definition,
( sQ375_spl
<=> sk7 = sk7 ),
introduced(definition,[new_symbols(definition,[sQ375_spl])],[split_symbol_definition]) ).
fof(f5959,plain,
( ~ sQ285_spl
| ~ sQ118_spl
| sQ375_spl
| ~ sQ38_spl
| ~ sQ374_spl ),
inference(split_clause,[status(thm)],[f5948,f5953,f1150,f5956,f2345,f4453]) ).
fof(f6075,definition,
( sQ377_spl
<=> ssList(skaf80(nil)) ),
introduced(definition,[new_symbols(definition,[sQ377_spl])],[split_symbol_definition]) ).
fof(f6077,plain,
( sQ377_spl
| ~ ssList(skaf80(nil)) ),
inference(component_clause,[status(thm)],[f6075]) ).
fof(f6167,plain,
( ~ sQ340_spl
| ~ sQ337_spl
| hd(sk7) = hd(app(sk7,sk3)) ),
inference(backward_demodulation,[status(thm)],[f5030,f5042]) ).
fof(f6169,plain,
( ~ sQ289_spl
| ~ sQ337_spl
| cons(hd(sk7),nil) = sk3 ),
inference(forward_demodulation,[status(thm)],[f5030,f4522]) ).
fof(f6170,plain,
( sQ152_spl
| ~ sQ337_spl
| hd(sk7) != sk9 ),
inference(forward_demodulation,[status(thm)],[f5030,f2659]) ).
fof(f6194,plain,
! [X0] :
( ~ sQ370_spl
| frontsegP(X0,nil)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ frontsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f5785,f384]) ).
fof(f6196,plain,
( ~ sQ370_spl
| ~ sQ17_spl
| ~ sQ22_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f6194,f5645,f894,f701,f5784]) ).
fof(f6202,plain,
! [X0] :
( ~ sQ48_spl
| frontsegP(sk3,X0)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ frontsegP(sk3,X0) ),
inference(paramodulation,[status(thm)],[f1236,f357]) ).
fof(f6203,plain,
! [X0] :
( ~ sQ48_spl
| rearsegP(sk3,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1236,f356]) ).
fof(f6218,definition,
! [X0] :
( sQ394_spl
<=> ( frontsegP(sk3,X0)
| ~ ssList(X0)
| ~ frontsegP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ394_spl])],[split_symbol_definition]) ).
fof(f6221,plain,
( ~ sQ48_spl
| ~ sQ17_spl
| ~ sQ22_spl
| sQ394_spl ),
inference(split_clause,[status(thm)],[f6202,f6218,f894,f701,f1235]) ).
fof(f6222,definition,
! [X0] :
( sQ395_spl
<=> ( rearsegP(sk3,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ395_spl])],[split_symbol_definition]) ).
fof(f6225,plain,
( ~ sQ48_spl
| ~ sQ22_spl
| ~ sQ17_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f6203,f6222,f701,f894,f1235]) ).
fof(f6250,definition,
( sQ396_spl
<=> hd(sk3) = hd(nil) ),
introduced(definition,[new_symbols(definition,[sQ396_spl])],[split_symbol_definition]) ).
fof(f6251,plain,
( ~ sQ396_spl
| hd(sk3) = hd(nil) ),
inference(component_clause,[status(thm)],[f6250]) ).
fof(f6292,plain,
( sQ299_spl
| ~ sQ228_spl
| ~ segmentP(nil,sk8) ),
inference(backward_demodulation,[status(thm)],[f3785,f4601]) ).
fof(f6299,plain,
( sQ326_spl
| ~ sQ228_spl
| ~ frontsegP(sk7,sk8) ),
inference(backward_demodulation,[status(thm)],[f3785,f4941]) ).
fof(f6304,plain,
( ~ sQ131_spl
| ~ sQ228_spl
| segmentP(sk3,sk8) ),
inference(backward_demodulation,[status(thm)],[f3785,f2498]) ).
fof(f6305,plain,
( sQ300_spl
| ~ sQ228_spl
| ~ segmentP(sk8,sk8) ),
inference(backward_demodulation,[status(thm)],[f3785,f4605]) ).
fof(f6313,plain,
( ~ sQ167_spl
| ~ sQ228_spl
| segmentP(sk8,sk8) ),
inference(backward_demodulation,[status(thm)],[f3785,f2741]) ).
fof(f6316,plain,
( ~ sQ27_spl
| ~ sQ228_spl
| rearsegP(sk8,sk8) ),
inference(backward_demodulation,[status(thm)],[f3785,f1017]) ).
fof(f6430,plain,
( ~ sQ131_spl
| ~ sQ228_spl
| segmentP(sk8,sk8) ),
inference(forward_demodulation,[status(thm)],[f3785,f6304]) ).
fof(f6431,plain,
( sQ300_spl
| ~ sQ228_spl
| ~ sQ131_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6305,f6430]) ).
fof(f6432,plain,
( sQ300_spl
| ~ sQ228_spl
| ~ sQ131_spl ),
inference(contradiction_clause,[status(thm)],[f6431]) ).
fof(f6502,plain,
( sQ285_spl
| ~ sQ118_spl
| ~ frontsegP(sk7,nil) ),
inference(forward_demodulation,[status(thm)],[f2346,f4455]) ).
fof(f6503,plain,
( sQ285_spl
| ~ sQ118_spl
| ~ frontsegP(sk7,sk7) ),
inference(forward_demodulation,[status(thm)],[f2346,f6502]) ).
fof(f6589,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ118_spl
| rearsegP(X0,sk7)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(sk7)
| ~ rearsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f5137,f382]) ).
fof(f6590,plain,
( ~ sQ49_spl
| ~ sQ118_spl
| sk3 = sk7
| ~ ssList(sk3)
| ~ ssList(sk7)
| ~ rearsegP(sk7,sk3) ),
inference(resolution,[status(thm)],[f5137,f346]) ).
fof(f6591,definition,
! [X0] :
( sQ397_spl
<=> ( rearsegP(X0,sk7)
| ~ ssList(X0)
| ~ rearsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ397_spl])],[split_symbol_definition]) ).
fof(f6592,plain,
! [X0] :
( ~ sQ397_spl
| rearsegP(X0,sk7)
| ~ ssList(X0)
| ~ rearsegP(X0,sk3) ),
inference(component_clause,[status(thm)],[f6591]) ).
fof(f6594,plain,
( ~ sQ49_spl
| ~ sQ118_spl
| ~ sQ17_spl
| ~ sQ38_spl
| sQ397_spl ),
inference(split_clause,[status(thm)],[f6589,f6591,f1150,f701,f2345,f1251]) ).
fof(f6595,definition,
( sQ398_spl
<=> rearsegP(sk7,sk3) ),
introduced(definition,[new_symbols(definition,[sQ398_spl])],[split_symbol_definition]) ).
fof(f6597,plain,
( sQ398_spl
| ~ rearsegP(sk7,sk3) ),
inference(component_clause,[status(thm)],[f6595]) ).
fof(f6598,plain,
( ~ sQ49_spl
| ~ sQ118_spl
| sQ327_spl
| ~ sQ17_spl
| ~ sQ38_spl
| ~ sQ398_spl ),
inference(split_clause,[status(thm)],[f6590,f6595,f1150,f701,f4942,f2345,f1251]) ).
fof(f6601,plain,
! [X0] :
( ~ sQ169_spl
| ~ sQ118_spl
| segmentP(X0,sk7)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(sk7)
| ~ segmentP(X0,sk3) ),
inference(resolution,[status(thm)],[f5139,f380]) ).
fof(f6603,definition,
! [X0] :
( sQ399_spl
<=> ( segmentP(X0,sk7)
| ~ ssList(X0)
| ~ segmentP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ399_spl])],[split_symbol_definition]) ).
fof(f6604,plain,
! [X0] :
( ~ sQ399_spl
| segmentP(X0,sk7)
| ~ ssList(X0)
| ~ segmentP(X0,sk3) ),
inference(component_clause,[status(thm)],[f6603]) ).
fof(f6606,plain,
( ~ sQ169_spl
| ~ sQ118_spl
| ~ sQ17_spl
| ~ sQ38_spl
| sQ399_spl ),
inference(split_clause,[status(thm)],[f6601,f6603,f1150,f701,f2345,f2755]) ).
fof(f6607,definition,
( sQ400_spl
<=> segmentP(sk7,sk3) ),
introduced(definition,[new_symbols(definition,[sQ400_spl])],[split_symbol_definition]) ).
fof(f6609,plain,
( sQ400_spl
| ~ segmentP(sk7,sk3) ),
inference(component_clause,[status(thm)],[f6607]) ).
fof(f6625,plain,
( sQ400_spl
| ~ sQ327_spl
| ~ segmentP(sk7,sk7) ),
inference(backward_demodulation,[status(thm)],[f4943,f6609]) ).
fof(f6687,plain,
( ~ sQ167_spl
| ~ sQ327_spl
| segmentP(sk7,sk8) ),
inference(backward_demodulation,[status(thm)],[f4943,f2741]) ).
fof(f6789,plain,
( sQ204_spl
| ~ sQ327_spl
| app(sk7,nil) != sk7 ),
inference(forward_demodulation,[status(thm)],[f4943,f3318]) ).
fof(f6790,plain,
( ~ sQ48_spl
| ~ sQ327_spl
| app(sk7,nil) = sk3 ),
inference(forward_demodulation,[status(thm)],[f4943,f1236]) ).
fof(f6791,plain,
( ~ sQ48_spl
| ~ sQ327_spl
| app(sk7,nil) = sk7 ),
inference(forward_demodulation,[status(thm)],[f4943,f6790]) ).
fof(f6792,plain,
( ~ sQ48_spl
| ~ sQ327_spl
| sQ204_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6791,f6789]) ).
fof(f6793,plain,
( ~ sQ48_spl
| ~ sQ327_spl
| sQ204_spl ),
inference(contradiction_clause,[status(thm)],[f6792]) ).
fof(f6989,plain,
( sQ325_spl
| ~ ssList(sk7)
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ frontsegP(sk7,sk3) ),
inference(resolution,[status(thm)],[f4937,f357]) ).
fof(f6990,plain,
( sQ325_spl
| ~ sQ38_spl
| ~ sQ17_spl
| ~ sQ326_spl ),
inference(split_clause,[status(thm)],[f6989,f4939,f701,f1150,f4935]) ).
fof(f7040,plain,
! [X0,X1] :
( segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(X1,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f261,f380]) ).
fof(f7042,definition,
! [X0,X1] :
( sQ412_spl
<=> ( segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ412_spl])],[split_symbol_definition]) ).
fof(f7045,plain,
( ~ sQ22_spl
| sQ412_spl ),
inference(split_clause,[status(thm)],[f7040,f7042,f894]) ).
fof(f7048,plain,
! [X0,X1] :
( rearsegP(X1,nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ rearsegP(X1,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f263,f382]) ).
fof(f7050,definition,
! [X0,X1] :
( sQ413_spl
<=> ( rearsegP(X1,nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ413_spl])],[split_symbol_definition]) ).
fof(f7053,plain,
( ~ sQ22_spl
| sQ413_spl ),
inference(split_clause,[status(thm)],[f7048,f7050,f894]) ).
fof(f7056,plain,
! [X0,X1] :
( frontsegP(X1,nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ frontsegP(X1,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f265,f384]) ).
fof(f7058,definition,
! [X0,X1] :
( sQ414_spl
<=> ( frontsegP(X1,nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ414_spl])],[split_symbol_definition]) ).
fof(f7061,plain,
( ~ sQ22_spl
| sQ414_spl ),
inference(split_clause,[status(thm)],[f7056,f7058,f894]) ).
fof(f7077,plain,
! [X0] :
( ~ sQ5_spl
| frontsegP(cons(sk9,X0),sk3)
| ~ ssItem(sk9)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ frontsegP(X0,nil) ),
inference(paramodulation,[status(thm)],[f477,f514]) ).
fof(f7081,plain,
( ~ sQ5_spl
| ~ sQ2_spl
| ~ sQ22_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f7077,f4735,f894,f465,f476]) ).
fof(f7083,plain,
! [X0,X1,X2] :
( ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| X2 = X2
| ~ ssItem(X2)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f418,f514]) ).
fof(f7087,definition,
! [X2] :
( sQ415_spl
<=> ( ~ ssItem(X2)
| X2 = X2
| ~ ssItem(X2)
| ~ ssItem(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ415_spl])],[split_symbol_definition]) ).
fof(f7090,plain,
( sQ415_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f7083,f4727,f7087]) ).
fof(f7101,plain,
! [X0,X1] :
( ~ sQ311_spl
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f4728]) ).
fof(f7183,definition,
( sQ432_spl
<=> sk3 = skaf82(sk3) ),
introduced(definition,[new_symbols(definition,[sQ432_spl])],[split_symbol_definition]) ).
fof(f7210,plain,
( sQ239_spl
| ~ ssList(skaf51(sk8))
| ~ ssList(cons(skaf49(sk8),skaf52(sk8))) ),
inference(resolution,[status(thm)],[f3866,f291]) ).
fof(f7211,definition,
( sQ434_spl
<=> ssList(cons(skaf49(sk8),skaf52(sk8))) ),
introduced(definition,[new_symbols(definition,[sQ434_spl])],[split_symbol_definition]) ).
fof(f7213,plain,
( sQ434_spl
| ~ ssList(cons(skaf49(sk8),skaf52(sk8))) ),
inference(component_clause,[status(thm)],[f7211]) ).
fof(f7214,definition,
( sQ435_spl
<=> ssList(skaf51(sk8)) ),
introduced(definition,[new_symbols(definition,[sQ435_spl])],[split_symbol_definition]) ).
fof(f7216,plain,
( sQ435_spl
| ~ ssList(skaf51(sk8)) ),
inference(component_clause,[status(thm)],[f7214]) ).
fof(f7217,plain,
( sQ239_spl
| ~ sQ435_spl
| ~ sQ434_spl ),
inference(split_clause,[status(thm)],[f7210,f7211,f7214,f3864]) ).
fof(f7218,plain,
( sQ435_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7216,f249]) ).
fof(f7219,plain,
sQ435_spl,
inference(contradiction_clause,[status(thm)],[f7218]) ).
fof(f7244,plain,
( ~ sQ294_spl
| ~ ssList(nil)
| ~ ssItem(skaf83(sk3))
| sk3 != nil ),
inference(paramodulation,[status(thm)],[f4557,f307]) ).
fof(f7247,definition,
( sQ436_spl
<=> ssItem(skaf83(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ436_spl])],[split_symbol_definition]) ).
fof(f7249,plain,
( sQ436_spl
| ~ ssItem(skaf83(sk3)) ),
inference(component_clause,[status(thm)],[f7247]) ).
fof(f7315,plain,
( ~ sQ294_spl
| ~ sQ22_spl
| ~ sQ436_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f7244,f472,f7247,f894,f4556]) ).
fof(f7321,plain,
( sQ436_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7249,f217]) ).
fof(f7322,plain,
sQ436_spl,
inference(contradiction_clause,[status(thm)],[f7321]) ).
fof(f7342,plain,
! [X0] :
( ~ sQ289_spl
| ~ sQ337_spl
| X0 = hd(sk7)
| memberP(nil,X0)
| ~ ssItem(X0)
| ~ ssItem(hd(sk7))
| ~ ssList(nil)
| ~ memberP(sk3,X0) ),
inference(paramodulation,[status(thm)],[f6169,f397]) ).
fof(f7360,plain,
( ~ sQ289_spl
| ~ sQ337_spl
| ~ ssList(nil)
| ~ ssItem(hd(sk7))
| sk3 != nil ),
inference(paramodulation,[status(thm)],[f6169,f307]) ).
fof(f7363,definition,
( sQ452_spl
<=> ssItem(hd(sk7)) ),
introduced(definition,[new_symbols(definition,[sQ452_spl])],[split_symbol_definition]) ).
fof(f7371,definition,
! [X0] :
( sQ453_spl
<=> ( X0 = hd(sk7)
| memberP(nil,X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ453_spl])],[split_symbol_definition]) ).
fof(f7372,plain,
! [X0] :
( ~ sQ453_spl
| X0 = hd(sk7)
| memberP(nil,X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(component_clause,[status(thm)],[f7371]) ).
fof(f7374,plain,
( ~ sQ289_spl
| ~ sQ337_spl
| ~ sQ452_spl
| ~ sQ22_spl
| sQ453_spl ),
inference(split_clause,[status(thm)],[f7342,f7371,f894,f7363,f5029,f4521]) ).
fof(f7431,plain,
( ~ sQ289_spl
| ~ sQ337_spl
| ~ sQ22_spl
| ~ sQ452_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f7360,f472,f7363,f894,f5029,f4521]) ).
fof(f7449,plain,
! [X0] :
( ~ sQ453_spl
| X0 = hd(sk7)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f7372,f276]) ).
fof(f7453,definition,
( sQ468_spl
<=> hd(sk7) = sk9 ),
introduced(definition,[new_symbols(definition,[sQ468_spl])],[split_symbol_definition]) ).
fof(f7454,plain,
( ~ sQ468_spl
| hd(sk7) = sk9 ),
inference(component_clause,[status(thm)],[f7453]) ).
fof(f7459,plain,
( ~ sQ468_spl
| sQ152_spl
| ~ sQ337_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7454,f6170]) ).
fof(f7460,plain,
( ~ sQ468_spl
| sQ152_spl
| ~ sQ337_spl ),
inference(contradiction_clause,[status(thm)],[f7459]) ).
fof(f7530,plain,
! [X0] :
( ~ sQ311_spl
| ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f7101,f266]) ).
fof(f7541,plain,
( ~ sQ311_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f438,f7578]) ).
fof(f7578,plain,
! [X0] :
( ~ sQ311_spl
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f7530]) ).
fof(f7579,definition,
! [X0] :
( sQ469_spl
<=> ~ ssItem(X0) ),
introduced(definition,[new_symbols(definition,[sQ469_spl])],[split_symbol_definition]) ).
fof(f7580,plain,
! [X0] :
( ~ sQ469_spl
| ~ ssItem(X0) ),
inference(component_clause,[status(thm)],[f7579]) ).
fof(f7583,plain,
~ sQ311_spl,
inference(contradiction_clause,[status(thm)],[f7541]) ).
fof(f7584,plain,
( ~ sQ469_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f252,f7580]) ).
fof(f7607,plain,
~ sQ469_spl,
inference(contradiction_clause,[status(thm)],[f7584]) ).
fof(f7756,plain,
( ~ sQ295_spl
| ~ ssList(skaf82(sk3))
| ~ ssItem(sk9)
| sk3 != nil ),
inference(paramodulation,[status(thm)],[f4563,f305]) ).
fof(f7759,plain,
( ~ sQ295_spl
| ~ sQ291_spl
| ~ sQ2_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f7756,f472,f465,f4538,f4562]) ).
fof(f7761,plain,
( sQ314_spl
| ~ ssList(skaf77(nil))
| ~ ssItem(skaf74(nil)) ),
inference(resolution,[status(thm)],[f292,f4744]) ).
fof(f7762,plain,
( sQ238_spl
| ~ ssList(skaf53(sk8))
| ~ ssItem(skaf50(sk8)) ),
inference(resolution,[status(thm)],[f292,f3863]) ).
fof(f7763,plain,
( sQ434_spl
| ~ ssList(skaf52(sk8))
| ~ ssItem(skaf49(sk8)) ),
inference(resolution,[status(thm)],[f292,f7213]) ).
fof(f7767,definition,
( sQ471_spl
<=> ssItem(skaf74(nil)) ),
introduced(definition,[new_symbols(definition,[sQ471_spl])],[split_symbol_definition]) ).
fof(f7769,plain,
( sQ471_spl
| ~ ssItem(skaf74(nil)) ),
inference(component_clause,[status(thm)],[f7767]) ).
fof(f7770,definition,
( sQ472_spl
<=> ssList(skaf77(nil)) ),
introduced(definition,[new_symbols(definition,[sQ472_spl])],[split_symbol_definition]) ).
fof(f7772,plain,
( sQ472_spl
| ~ ssList(skaf77(nil)) ),
inference(component_clause,[status(thm)],[f7770]) ).
fof(f7773,plain,
( sQ314_spl
| ~ sQ472_spl
| ~ sQ471_spl ),
inference(split_clause,[status(thm)],[f7761,f7767,f7770,f4742]) ).
fof(f7774,definition,
( sQ473_spl
<=> ssItem(skaf50(sk8)) ),
introduced(definition,[new_symbols(definition,[sQ473_spl])],[split_symbol_definition]) ).
fof(f7776,plain,
( sQ473_spl
| ~ ssItem(skaf50(sk8)) ),
inference(component_clause,[status(thm)],[f7774]) ).
fof(f7777,definition,
( sQ474_spl
<=> ssList(skaf53(sk8)) ),
introduced(definition,[new_symbols(definition,[sQ474_spl])],[split_symbol_definition]) ).
fof(f7779,plain,
( sQ474_spl
| ~ ssList(skaf53(sk8)) ),
inference(component_clause,[status(thm)],[f7777]) ).
fof(f7780,plain,
( sQ238_spl
| ~ sQ474_spl
| ~ sQ473_spl ),
inference(split_clause,[status(thm)],[f7762,f7774,f7777,f3861]) ).
fof(f7781,definition,
( sQ475_spl
<=> ssItem(skaf49(sk8)) ),
introduced(definition,[new_symbols(definition,[sQ475_spl])],[split_symbol_definition]) ).
fof(f7783,plain,
( sQ475_spl
| ~ ssItem(skaf49(sk8)) ),
inference(component_clause,[status(thm)],[f7781]) ).
fof(f7784,definition,
( sQ476_spl
<=> ssList(skaf52(sk8)) ),
introduced(definition,[new_symbols(definition,[sQ476_spl])],[split_symbol_definition]) ).
fof(f7786,plain,
( sQ476_spl
| ~ ssList(skaf52(sk8)) ),
inference(component_clause,[status(thm)],[f7784]) ).
fof(f7787,plain,
( sQ434_spl
| ~ sQ476_spl
| ~ sQ475_spl ),
inference(split_clause,[status(thm)],[f7763,f7781,f7784,f7211]) ).
fof(f7791,plain,
( sQ476_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7786,f248]) ).
fof(f7792,plain,
sQ476_spl,
inference(contradiction_clause,[status(thm)],[f7791]) ).
fof(f7793,plain,
( sQ475_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7783,f251]) ).
fof(f7794,plain,
sQ475_spl,
inference(contradiction_clause,[status(thm)],[f7793]) ).
fof(f7795,plain,
( sQ474_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7779,f247]) ).
fof(f7796,plain,
sQ474_spl,
inference(contradiction_clause,[status(thm)],[f7795]) ).
fof(f7797,plain,
( sQ473_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7776,f250]) ).
fof(f7798,plain,
sQ473_spl,
inference(contradiction_clause,[status(thm)],[f7797]) ).
fof(f7799,plain,
( sQ472_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7772,f223]) ).
fof(f7800,plain,
sQ472_spl,
inference(contradiction_clause,[status(thm)],[f7799]) ).
fof(f7801,plain,
( sQ471_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7769,f226]) ).
fof(f7802,plain,
sQ471_spl,
inference(contradiction_clause,[status(thm)],[f7801]) ).
fof(f7913,plain,
! [X0] :
( ~ sQ359_spl
| ~ ssList(sk3)
| ~ ssList(X0)
| frontsegP(app(sk3,X0),sk7)
| ~ ssList(app(sk3,X0)) ),
inference(resolution,[status(thm)],[f5628,f508]) ).
fof(f7916,definition,
! [X0] :
( sQ478_spl
<=> ( ~ ssList(X0)
| frontsegP(app(sk3,X0),sk7)
| ~ ssList(app(sk3,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ478_spl])],[split_symbol_definition]) ).
fof(f7919,plain,
( ~ sQ359_spl
| ~ sQ17_spl
| sQ478_spl ),
inference(split_clause,[status(thm)],[f7913,f7916,f701,f5627]) ).
fof(f7929,plain,
( ~ sQ285_spl
| ~ sQ363_spl
| frontsegP(sk3,nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f5751,f4454]) ).
fof(f7930,plain,
( ~ sQ285_spl
| ~ sQ363_spl
| sQ370_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f7929,f894,f5784,f5750,f4453]) ).
fof(f7935,definition,
( sQ479_spl
<=> app(sk3,skaf82(sk3)) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ479_spl])],[split_symbol_definition]) ).
fof(f7936,plain,
( ~ sQ479_spl
| app(sk3,skaf82(sk3)) = sk3 ),
inference(component_clause,[status(thm)],[f7935]) ).
fof(f7998,plain,
( ~ sQ479_spl
| rearsegP(sk3,skaf82(sk3))
| ~ ssList(skaf82(sk3))
| ~ ssList(sk3) ),
inference(paramodulation,[status(thm)],[f7936,f506]) ).
fof(f7999,plain,
! [X0,X1] :
( ~ sQ479_spl
| segmentP(app(sk3,X1),X0)
| ~ ssList(skaf82(sk3))
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ segmentP(skaf82(sk3),X0) ),
inference(paramodulation,[status(thm)],[f7936,f410]) ).
fof(f8001,plain,
! [X0] :
( ~ sQ479_spl
| X0 = sk3
| ~ ssList(sk3)
| ~ ssList(skaf82(sk3))
| ~ ssList(X0)
| app(X0,skaf82(sk3)) != sk3 ),
inference(paramodulation,[status(thm)],[f7936,f378]) ).
fof(f8005,plain,
! [X0] :
( ~ sQ479_spl
| rearsegP(sk3,X0)
| ~ ssList(skaf82(sk3))
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ rearsegP(skaf82(sk3),X0) ),
inference(paramodulation,[status(thm)],[f7936,f356]) ).
fof(f8006,plain,
! [X0] :
( ~ sQ479_spl
| app(sk3,X0) = app(sk3,app(skaf82(sk3),X0))
| ~ ssList(sk3)
| ~ ssList(skaf82(sk3))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f7936,f374]) ).
fof(f8007,plain,
! [X0] :
( ~ sQ479_spl
| X0 = skaf82(sk3)
| ~ ssList(skaf82(sk3))
| ~ ssList(sk3)
| ~ ssList(X0)
| app(sk3,X0) != sk3 ),
inference(paramodulation,[status(thm)],[f7936,f376]) ).
fof(f8009,plain,
! [X0] :
( ~ sQ479_spl
| segmentP(app(sk3,X0),skaf82(sk3))
| ~ ssList(app(app(sk3,skaf82(sk3)),X0))
| ~ ssList(skaf82(sk3))
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f7936,f511]) ).
fof(f8010,definition,
( sQ480_spl
<=> rearsegP(sk3,skaf82(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ480_spl])],[split_symbol_definition]) ).
fof(f8011,plain,
( ~ sQ480_spl
| rearsegP(sk3,skaf82(sk3)) ),
inference(component_clause,[status(thm)],[f8010]) ).
fof(f8013,plain,
( ~ sQ479_spl
| sQ480_spl
| ~ sQ291_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f7998,f701,f4538,f8010,f7935]) ).
fof(f8014,definition,
! [X0,X1] :
( sQ481_spl
<=> ( segmentP(app(sk3,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(skaf82(sk3),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ481_spl])],[split_symbol_definition]) ).
fof(f8017,plain,
( ~ sQ479_spl
| ~ sQ291_spl
| ~ sQ17_spl
| sQ481_spl ),
inference(split_clause,[status(thm)],[f7999,f8014,f701,f4538,f7935]) ).
fof(f8019,definition,
! [X0] :
( sQ482_spl
<=> ( X0 = sk3
| ~ ssList(X0)
| app(X0,skaf82(sk3)) != sk3 ) ),
introduced(definition,[new_symbols(definition,[sQ482_spl])],[split_symbol_definition]) ).
fof(f8022,plain,
( ~ sQ479_spl
| ~ sQ17_spl
| ~ sQ291_spl
| sQ482_spl ),
inference(split_clause,[status(thm)],[f8001,f8019,f4538,f701,f7935]) ).
fof(f8026,definition,
! [X0] :
( sQ483_spl
<=> ( rearsegP(sk3,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf82(sk3),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ483_spl])],[split_symbol_definition]) ).
fof(f8029,plain,
( ~ sQ479_spl
| ~ sQ291_spl
| ~ sQ17_spl
| sQ483_spl ),
inference(split_clause,[status(thm)],[f8005,f8026,f701,f4538,f7935]) ).
fof(f8030,definition,
! [X0] :
( sQ484_spl
<=> ( app(sk3,X0) = app(sk3,app(skaf82(sk3),X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ484_spl])],[split_symbol_definition]) ).
fof(f8033,plain,
( ~ sQ479_spl
| ~ sQ17_spl
| ~ sQ291_spl
| sQ484_spl ),
inference(split_clause,[status(thm)],[f8006,f8030,f4538,f701,f7935]) ).
fof(f8034,definition,
! [X0] :
( sQ485_spl
<=> ( X0 = skaf82(sk3)
| ~ ssList(X0)
| app(sk3,X0) != sk3 ) ),
introduced(definition,[new_symbols(definition,[sQ485_spl])],[split_symbol_definition]) ).
fof(f8037,plain,
( ~ sQ479_spl
| ~ sQ291_spl
| ~ sQ17_spl
| sQ485_spl ),
inference(split_clause,[status(thm)],[f8007,f8034,f701,f4538,f7935]) ).
fof(f8039,definition,
! [X0] :
( sQ486_spl
<=> ( segmentP(app(sk3,X0),skaf82(sk3))
| ~ ssList(app(app(sk3,skaf82(sk3)),X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ486_spl])],[split_symbol_definition]) ).
fof(f8042,plain,
( ~ sQ479_spl
| ~ sQ291_spl
| ~ sQ17_spl
| sQ486_spl ),
inference(split_clause,[status(thm)],[f8009,f8039,f701,f4538,f7935]) ).
fof(f8044,plain,
( ~ sQ480_spl
| sk3 = skaf82(sk3)
| ~ ssList(sk3)
| ~ ssList(skaf82(sk3))
| ~ rearsegP(skaf82(sk3),sk3) ),
inference(resolution,[status(thm)],[f8011,f346]) ).
fof(f8045,plain,
! [X0] :
( ~ sQ480_spl
| rearsegP(X0,skaf82(sk3))
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(skaf82(sk3))
| ~ rearsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f8011,f382]) ).
fof(f8046,definition,
( sQ487_spl
<=> rearsegP(skaf82(sk3),sk3) ),
introduced(definition,[new_symbols(definition,[sQ487_spl])],[split_symbol_definition]) ).
fof(f8049,plain,
( ~ sQ480_spl
| sQ432_spl
| ~ sQ17_spl
| ~ sQ291_spl
| ~ sQ487_spl ),
inference(split_clause,[status(thm)],[f8044,f8046,f4538,f701,f7183,f8010]) ).
fof(f8050,definition,
! [X0] :
( sQ488_spl
<=> ( rearsegP(X0,skaf82(sk3))
| ~ ssList(X0)
| ~ rearsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ488_spl])],[split_symbol_definition]) ).
fof(f8053,plain,
( ~ sQ480_spl
| ~ sQ17_spl
| ~ sQ291_spl
| sQ488_spl ),
inference(split_clause,[status(thm)],[f8045,f8050,f4538,f701,f8010]) ).
fof(f8058,plain,
! [X0] :
( ~ sQ357_spl
| ~ ssList(sk3)
| ~ ssList(X0)
| rearsegP(app(X0,sk3),sk8)
| ~ ssList(app(X0,sk3)) ),
inference(resolution,[status(thm)],[f5608,f506]) ).
fof(f8059,plain,
! [X0,X1] :
( ~ sQ357_spl
| ~ ssList(X1)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ rearsegP(X1,sk3)
| rearsegP(app(X0,X1),sk8)
| ~ ssList(app(X0,X1)) ),
inference(resolution,[status(thm)],[f5608,f356]) ).
fof(f8061,definition,
! [X0] :
( sQ489_spl
<=> ( ~ ssList(X0)
| rearsegP(app(X0,sk3),sk8)
| ~ ssList(app(X0,sk3)) ) ),
introduced(definition,[new_symbols(definition,[sQ489_spl])],[split_symbol_definition]) ).
fof(f8064,plain,
( ~ sQ357_spl
| ~ sQ17_spl
| sQ489_spl ),
inference(split_clause,[status(thm)],[f8058,f8061,f701,f5607]) ).
fof(f8065,definition,
! [X0,X1] :
( sQ490_spl
<=> ( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,sk3)
| rearsegP(app(X0,X1),sk8)
| ~ ssList(app(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ490_spl])],[split_symbol_definition]) ).
fof(f8068,plain,
( ~ sQ357_spl
| ~ sQ17_spl
| sQ490_spl ),
inference(split_clause,[status(thm)],[f8059,f8065,f701,f5607]) ).
fof(f8071,plain,
! [X0,X1,X2] :
( ~ sQ354_spl
| ~ ssList(X1)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ segmentP(X1,sk3)
| segmentP(app(app(X0,X1),X2),sk8)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f5585,f410]) ).
fof(f8072,plain,
! [X0,X1] :
( ~ sQ354_spl
| ~ ssList(app(app(X0,sk3),X1))
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(app(X0,sk3),X1),sk8)
| ~ ssList(app(app(X0,sk3),X1)) ),
inference(resolution,[status(thm)],[f5585,f511]) ).
fof(f8075,definition,
! [X0,X1,X2] :
( sQ491_spl
<=> ( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ segmentP(X1,sk3)
| segmentP(app(app(X0,X1),X2),sk8)
| ~ ssList(app(app(X0,X1),X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ491_spl])],[split_symbol_definition]) ).
fof(f8078,plain,
( ~ sQ354_spl
| ~ sQ17_spl
| sQ491_spl ),
inference(split_clause,[status(thm)],[f8071,f8075,f701,f5584]) ).
fof(f8079,definition,
! [X0,X1] :
( sQ492_spl
<=> ( ~ ssList(app(app(X0,sk3),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(app(X0,sk3),X1),sk8)
| ~ ssList(app(app(X0,sk3),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ492_spl])],[split_symbol_definition]) ).
fof(f8082,plain,
( ~ sQ354_spl
| ~ sQ17_spl
| sQ492_spl ),
inference(split_clause,[status(thm)],[f8072,f8079,f701,f5584]) ).
fof(f8086,plain,
! [X0,X1,X2] :
( ~ sQ399_spl
| ~ ssList(X1)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ segmentP(X1,sk3)
| segmentP(app(app(X0,X1),X2),sk7)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f6604,f410]) ).
fof(f8087,plain,
! [X0,X1] :
( ~ sQ399_spl
| ~ ssList(app(app(X0,sk3),X1))
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(app(X0,sk3),X1),sk7)
| ~ ssList(app(app(X0,sk3),X1)) ),
inference(resolution,[status(thm)],[f6604,f511]) ).
fof(f8089,plain,
( ~ sQ399_spl
| ~ ssList(sk3)
| segmentP(sk3,sk7)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f6604,f262]) ).
fof(f8090,definition,
! [X0,X1,X2] :
( sQ493_spl
<=> ( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ segmentP(X1,sk3)
| segmentP(app(app(X0,X1),X2),sk7)
| ~ ssList(app(app(X0,X1),X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ493_spl])],[split_symbol_definition]) ).
fof(f8093,plain,
( ~ sQ399_spl
| ~ sQ17_spl
| sQ493_spl ),
inference(split_clause,[status(thm)],[f8086,f8090,f701,f6603]) ).
fof(f8094,definition,
! [X0,X1] :
( sQ494_spl
<=> ( ~ ssList(app(app(X0,sk3),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(app(X0,sk3),X1),sk7)
| ~ ssList(app(app(X0,sk3),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ494_spl])],[split_symbol_definition]) ).
fof(f8097,plain,
( ~ sQ399_spl
| ~ sQ17_spl
| sQ494_spl ),
inference(split_clause,[status(thm)],[f8087,f8094,f701,f6603]) ).
fof(f8098,definition,
( sQ495_spl
<=> segmentP(sk3,sk7) ),
introduced(definition,[new_symbols(definition,[sQ495_spl])],[split_symbol_definition]) ).
fof(f8099,plain,
( ~ sQ495_spl
| segmentP(sk3,sk7) ),
inference(component_clause,[status(thm)],[f8098]) ).
fof(f8102,plain,
( ~ sQ399_spl
| sQ495_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f8089,f701,f8098,f6603]) ).
fof(f8104,plain,
! [X0] :
( ~ sQ273_spl
| rearsegP(cons(X0,sk3),sk8)
| ~ ssList(sk8)
| ~ ssList(cons(X0,app(app(sk7,sk3),sk3))) ),
inference(paramodulation,[status(thm)],[f4188,f506]) ).
fof(f8105,plain,
! [X0,X1,X2] :
( ~ sQ273_spl
| segmentP(app(cons(X2,sk3),X1),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(cons(X2,app(app(sk7,sk3),sk3)))
| ~ ssList(X1)
| ~ segmentP(sk8,X0) ),
inference(paramodulation,[status(thm)],[f4188,f410]) ).
fof(f8106,plain,
! [X0] :
( ~ sQ273_spl
| frontsegP(cons(X0,sk3),cons(X0,app(app(sk7,sk3),sk3)))
| ~ ssList(cons(X0,app(app(sk7,sk3),sk3)))
| ~ ssList(sk8) ),
inference(paramodulation,[status(thm)],[f4188,f508]) ).
fof(f8107,plain,
! [X0,X1] :
( ~ sQ273_spl
| X0 = cons(X1,app(app(sk7,sk3),sk3))
| ~ ssList(cons(X1,app(app(sk7,sk3),sk3)))
| ~ ssList(sk8)
| ~ ssList(X0)
| app(X0,sk8) != cons(X1,sk3) ),
inference(paramodulation,[status(thm)],[f4188,f378]) ).
fof(f8109,plain,
! [X0] :
( ~ sQ273_spl
| ~ sQ0_spl
| ~ ssList(cons(X0,app(app(sk7,sk3),sk3)))
| ~ ssList(sk8)
| duplicatefreeP(cons(X0,sk3)) ),
inference(paramodulation,[status(thm)],[f4188,f877]) ).
fof(f8110,plain,
! [X0] :
( ~ sQ273_spl
| ssList(cons(X0,sk3))
| ~ ssList(cons(X0,app(app(sk7,sk3),sk3)))
| ~ ssList(sk8) ),
inference(paramodulation,[status(thm)],[f4188,f291]) ).
fof(f8111,plain,
! [X0,X1] :
( ~ sQ273_spl
| rearsegP(cons(X1,sk3),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(cons(X1,app(app(sk7,sk3),sk3)))
| ~ rearsegP(sk8,X0) ),
inference(paramodulation,[status(thm)],[f4188,f356]) ).
fof(f8112,plain,
! [X0,X1] :
( ~ sQ273_spl
| app(cons(X1,sk3),X0) = app(cons(X1,app(app(sk7,sk3),sk3)),app(sk8,X0))
| ~ ssList(cons(X1,app(app(sk7,sk3),sk3)))
| ~ ssList(sk8)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f4188,f374]) ).
fof(f8113,plain,
! [X0,X1] :
( ~ sQ273_spl
| X1 = sk8
| ~ ssList(sk8)
| ~ ssList(cons(X0,app(app(sk7,sk3),sk3)))
| ~ ssList(X1)
| app(cons(X0,app(app(sk7,sk3),sk3)),X1) != cons(X0,sk3) ),
inference(paramodulation,[status(thm)],[f4188,f376]) ).
fof(f8115,plain,
! [X0,X1] :
( ~ sQ273_spl
| segmentP(app(cons(X1,sk3),X0),sk8)
| ~ ssList(app(app(cons(X1,app(app(sk7,sk3),sk3)),sk8),X0))
| ~ ssList(sk8)
| ~ ssList(cons(X1,app(app(sk7,sk3),sk3)))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f4188,f511]) ).
fof(f8116,plain,
( ~ sQ273_spl
| ~ sQ24_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f8104,f2883,f1006,f4187]) ).
fof(f8117,plain,
( ~ sQ273_spl
| ~ sQ24_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f8105,f3240,f1006,f4187]) ).
fof(f8118,plain,
( ~ sQ273_spl
| sQ175_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f8106,f1006,f2898,f4187]) ).
fof(f8119,plain,
( ~ sQ273_spl
| ~ sQ24_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f8107,f3108,f1006,f4187]) ).
fof(f8121,definition,
! [X0] :
( sQ496_spl
<=> ( ~ ssList(cons(X0,app(app(sk7,sk3),sk3)))
| duplicatefreeP(cons(X0,sk3)) ) ),
introduced(definition,[new_symbols(definition,[sQ496_spl])],[split_symbol_definition]) ).
fof(f8124,plain,
( ~ sQ273_spl
| ~ sQ0_spl
| ~ sQ24_spl
| sQ496_spl ),
inference(split_clause,[status(thm)],[f8109,f8121,f1006,f458,f4187]) ).
fof(f8125,plain,
( ~ sQ273_spl
| sQ173_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f8110,f1006,f2855,f4187]) ).
fof(f8126,definition,
! [X0,X1] :
( sQ497_spl
<=> ( rearsegP(cons(X1,sk3),X0)
| ~ ssList(X0)
| ~ ssList(cons(X1,app(app(sk7,sk3),sk3)))
| ~ rearsegP(sk8,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ497_spl])],[split_symbol_definition]) ).
fof(f8129,plain,
( ~ sQ273_spl
| ~ sQ24_spl
| sQ497_spl ),
inference(split_clause,[status(thm)],[f8111,f8126,f1006,f4187]) ).
fof(f8130,plain,
( ~ sQ273_spl
| ~ sQ24_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f8112,f3134,f1006,f4187]) ).
fof(f8131,plain,
( ~ sQ273_spl
| ~ sQ24_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f8113,f3270,f1006,f4187]) ).
fof(f8133,plain,
( ~ sQ273_spl
| ~ sQ24_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f8115,f2959,f1006,f4187]) ).
fof(f8138,plain,
! [X0] :
( ~ sQ397_spl
| ~ ssList(sk3)
| ~ ssList(X0)
| rearsegP(app(X0,sk3),sk7)
| ~ ssList(app(X0,sk3)) ),
inference(resolution,[status(thm)],[f6592,f506]) ).
fof(f8139,plain,
! [X0,X1] :
( ~ sQ397_spl
| ~ ssList(X1)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ rearsegP(X1,sk3)
| rearsegP(app(X0,X1),sk7)
| ~ ssList(app(X0,X1)) ),
inference(resolution,[status(thm)],[f6592,f356]) ).
fof(f8140,plain,
( ~ sQ397_spl
| ~ ssList(sk3)
| rearsegP(sk3,sk7)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f6592,f264]) ).
fof(f8141,definition,
! [X0] :
( sQ498_spl
<=> ( ~ ssList(X0)
| rearsegP(app(X0,sk3),sk7)
| ~ ssList(app(X0,sk3)) ) ),
introduced(definition,[new_symbols(definition,[sQ498_spl])],[split_symbol_definition]) ).
fof(f8144,plain,
( ~ sQ397_spl
| ~ sQ17_spl
| sQ498_spl ),
inference(split_clause,[status(thm)],[f8138,f8141,f701,f6591]) ).
fof(f8145,definition,
! [X0,X1] :
( sQ499_spl
<=> ( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,sk3)
| rearsegP(app(X0,X1),sk7)
| ~ ssList(app(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ499_spl])],[split_symbol_definition]) ).
fof(f8148,plain,
( ~ sQ397_spl
| ~ sQ17_spl
| sQ499_spl ),
inference(split_clause,[status(thm)],[f8139,f8145,f701,f6591]) ).
fof(f8149,definition,
( sQ500_spl
<=> rearsegP(sk3,sk7) ),
introduced(definition,[new_symbols(definition,[sQ500_spl])],[split_symbol_definition]) ).
fof(f8152,plain,
( ~ sQ397_spl
| sQ500_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f8140,f701,f8149,f6591]) ).
fof(f8158,plain,
( ~ sQ71_spl
| ~ sQ84_spl
| ~ sQ453_spl
| sk9 = hd(sk7)
| ~ ssItem(sk9) ),
inference(resolution,[status(thm)],[f7449,f1527]) ).
fof(f8159,plain,
( ~ sQ71_spl
| ~ sQ84_spl
| ~ sQ453_spl
| sQ468_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f8158,f465,f7453,f7371,f1520,f1403]) ).
fof(f8163,definition,
( sQ501_spl
<=> ssList(skaf46(sk3,sk8)) ),
introduced(definition,[new_symbols(definition,[sQ501_spl])],[split_symbol_definition]) ).
fof(f8165,plain,
( sQ501_spl
| ~ ssList(skaf46(sk3,sk8)) ),
inference(component_clause,[status(thm)],[f8163]) ).
fof(f8166,definition,
( sQ502_spl
<=> skaf46(sk3,sk8) = nil ),
introduced(definition,[new_symbols(definition,[sQ502_spl])],[split_symbol_definition]) ).
fof(f8167,plain,
( ~ sQ502_spl
| skaf46(sk3,sk8) = nil ),
inference(component_clause,[status(thm)],[f8166]) ).
fof(f8168,plain,
( sQ502_spl
| skaf46(sk3,sk8) != nil ),
inference(component_clause,[status(thm)],[f8166]) ).
fof(f8172,plain,
( sQ501_spl
| ~ sQ502_spl
| ~ ssList(nil) ),
inference(forward_demodulation,[status(thm)],[f8167,f8165]) ).
fof(f8173,plain,
( sQ501_spl
| ~ sQ502_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8172,f213]) ).
fof(f8174,plain,
( sQ501_spl
| ~ sQ502_spl ),
inference(contradiction_clause,[status(thm)],[f8173]) ).
fof(f8175,plain,
( ~ sQ479_spl
| ~ sQ51_spl
| skaf82(sk3) = nil
| ~ ssList(skaf82(sk3)) ),
inference(resolution,[status(thm)],[f1260,f7936]) ).
fof(f8180,plain,
( ~ sQ479_spl
| ~ sQ51_spl
| sQ292_spl
| ~ sQ291_spl ),
inference(split_clause,[status(thm)],[f8175,f4538,f4541,f1259,f7935]) ).
fof(f8288,plain,
( ~ sQ340_spl
| ~ sQ337_spl
| nil = app(sk7,sk3)
| ssItem(hd(sk7))
| ~ ssList(app(sk7,sk3)) ),
inference(paramodulation,[status(thm)],[f6167,f282]) ).
fof(f8292,plain,
( ~ sQ340_spl
| ~ sQ337_spl
| sQ95_spl
| sQ452_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f8288,f1655,f7363,f1680,f5029,f5041]) ).
fof(f8377,plain,
( ~ sQ95_spl
| rearsegP(nil,sk3)
| ~ ssList(sk3)
| ~ ssList(sk7) ),
inference(paramodulation,[status(thm)],[f1681,f506]) ).
fof(f8378,plain,
! [X0,X1] :
( ~ sQ95_spl
| segmentP(app(nil,X1),X0)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ segmentP(sk3,X0) ),
inference(paramodulation,[status(thm)],[f1681,f410]) ).
fof(f8379,plain,
( ~ sQ95_spl
| frontsegP(nil,sk7)
| ~ ssList(sk7)
| ~ ssList(sk3) ),
inference(paramodulation,[status(thm)],[f1681,f508]) ).
fof(f8380,plain,
! [X0] :
( ~ sQ95_spl
| X0 = sk7
| ~ ssList(sk7)
| ~ ssList(sk3)
| ~ ssList(X0)
| app(X0,sk3) != nil ),
inference(paramodulation,[status(thm)],[f1681,f378]) ).
fof(f8382,plain,
( ~ sQ95_spl
| ~ sQ0_spl
| ~ ssList(sk7)
| ~ ssList(sk3)
| duplicatefreeP(nil) ),
inference(paramodulation,[status(thm)],[f1681,f877]) ).
fof(f8384,plain,
! [X0] :
( ~ sQ95_spl
| rearsegP(nil,X0)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(sk7)
| ~ rearsegP(sk3,X0) ),
inference(paramodulation,[status(thm)],[f1681,f356]) ).
fof(f8385,plain,
! [X0] :
( ~ sQ95_spl
| app(nil,X0) = app(sk7,app(sk3,X0))
| ~ ssList(sk7)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1681,f374]) ).
fof(f8386,plain,
! [X0] :
( ~ sQ95_spl
| X0 = sk3
| ~ ssList(sk3)
| ~ ssList(sk7)
| ~ ssList(X0)
| app(sk7,X0) != nil ),
inference(paramodulation,[status(thm)],[f1681,f376]) ).
fof(f8388,plain,
! [X0] :
( ~ sQ95_spl
| segmentP(app(nil,X0),sk3)
| ~ ssList(app(app(sk7,sk3),X0))
| ~ ssList(sk3)
| ~ ssList(sk7)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1681,f511]) ).
fof(f8393,plain,
( ~ sQ95_spl
| sQ305_spl
| ~ sQ17_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f8377,f1150,f701,f4640,f1680]) ).
fof(f8394,definition,
! [X0,X1] :
( sQ506_spl
<=> ( segmentP(app(nil,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ506_spl])],[split_symbol_definition]) ).
fof(f8397,plain,
( ~ sQ95_spl
| ~ sQ17_spl
| ~ sQ38_spl
| sQ506_spl ),
inference(split_clause,[status(thm)],[f8378,f8394,f1150,f701,f1680]) ).
fof(f8398,definition,
( sQ507_spl
<=> frontsegP(nil,sk7) ),
introduced(definition,[new_symbols(definition,[sQ507_spl])],[split_symbol_definition]) ).
fof(f8401,plain,
( ~ sQ95_spl
| sQ507_spl
| ~ sQ38_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f8379,f701,f1150,f8398,f1680]) ).
fof(f8402,definition,
! [X0] :
( sQ508_spl
<=> ( X0 = sk7
| ~ ssList(X0)
| app(X0,sk3) != nil ) ),
introduced(definition,[new_symbols(definition,[sQ508_spl])],[split_symbol_definition]) ).
fof(f8405,plain,
( ~ sQ95_spl
| ~ sQ38_spl
| ~ sQ17_spl
| sQ508_spl ),
inference(split_clause,[status(thm)],[f8380,f8402,f701,f1150,f1680]) ).
fof(f8407,plain,
( ~ sQ95_spl
| ~ sQ0_spl
| ~ sQ38_spl
| ~ sQ17_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f8382,f2452,f701,f1150,f458,f1680]) ).
fof(f8409,definition,
! [X0] :
( sQ509_spl
<=> ( rearsegP(nil,X0)
| ~ ssList(X0)
| ~ rearsegP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ509_spl])],[split_symbol_definition]) ).
fof(f8412,plain,
( ~ sQ95_spl
| ~ sQ17_spl
| ~ sQ38_spl
| sQ509_spl ),
inference(split_clause,[status(thm)],[f8384,f8409,f1150,f701,f1680]) ).
fof(f8413,definition,
! [X0] :
( sQ510_spl
<=> ( app(nil,X0) = app(sk7,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ510_spl])],[split_symbol_definition]) ).
fof(f8416,plain,
( ~ sQ95_spl
| ~ sQ38_spl
| ~ sQ17_spl
| sQ510_spl ),
inference(split_clause,[status(thm)],[f8385,f8413,f701,f1150,f1680]) ).
fof(f8417,definition,
! [X0] :
( sQ511_spl
<=> ( X0 = sk3
| ~ ssList(X0)
| app(sk7,X0) != nil ) ),
introduced(definition,[new_symbols(definition,[sQ511_spl])],[split_symbol_definition]) ).
fof(f8420,plain,
( ~ sQ95_spl
| ~ sQ17_spl
| ~ sQ38_spl
| sQ511_spl ),
inference(split_clause,[status(thm)],[f8386,f8417,f1150,f701,f1680]) ).
fof(f8422,definition,
! [X0] :
( sQ512_spl
<=> ( segmentP(app(nil,X0),sk3)
| ~ ssList(app(app(sk7,sk3),X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ512_spl])],[split_symbol_definition]) ).
fof(f8425,plain,
( ~ sQ95_spl
| ~ sQ17_spl
| ~ sQ38_spl
| sQ512_spl ),
inference(split_clause,[status(thm)],[f8388,f8422,f1150,f701,f1680]) ).
fof(f8428,plain,
( sQ377_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6077,f220]) ).
fof(f8429,plain,
sQ377_spl,
inference(contradiction_clause,[status(thm)],[f8428]) ).
fof(f8649,plain,
! [X0] :
( ~ sQ102_spl
| ~ ssItem(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2125]) ).
fof(f8752,plain,
( sQ107_spl
| ~ sQ372_spl
| ~ ssList(sk7) ),
inference(forward_demodulation,[status(thm)],[f5943,f2184]) ).
fof(f8753,plain,
( sQ107_spl
| ~ sQ372_spl
| ~ sQ243_spl
| ~ ssList(sk8) ),
inference(forward_demodulation,[status(thm)],[f3912,f8752]) ).
fof(f8754,plain,
( sQ107_spl
| ~ sQ372_spl
| ~ sQ243_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8753,f445]) ).
fof(f8755,plain,
( sQ107_spl
| ~ sQ372_spl
| ~ sQ243_spl ),
inference(contradiction_clause,[status(thm)],[f8754]) ).
fof(f8762,plain,
( ~ sQ40_spl
| ~ sQ45_spl
| ~ sQ44_spl
| frontsegP(sk3,sk8) ),
inference(forward_demodulation,[status(thm)],[f1751,f1185]) ).
fof(f8765,plain,
( ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| sk3 = app(sk8,app(cons(sk6,nil),sk8)) ),
inference(forward_demodulation,[status(thm)],[f1751,f1048]) ).
fof(f8766,plain,
( ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| sk3 = app(sk8,nil) ),
inference(forward_demodulation,[status(thm)],[f1208,f8765]) ).
fof(f8770,plain,
( ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ44_spl
| app(sk8,sk8) = sk3 ),
inference(forward_demodulation,[status(thm)],[f1754,f713]) ).
fof(f8771,plain,
( ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f443,f8649]) ).
fof(f8772,plain,
~ sQ102_spl,
inference(contradiction_clause,[status(thm)],[f8771]) ).
fof(f8789,plain,
( ~ sQ52_spl
| ~ sQ43_spl
| sk3 = app(sk7,app(cons(sk6,nil),nil)) ),
inference(forward_demodulation,[status(thm)],[f1208,f1272]) ).
fof(f8816,plain,
( ~ sQ52_spl
| ~ sQ43_spl
| ~ sQ44_spl
| sk3 = app(sk7,app(cons(sk6,nil),sk8)) ),
inference(backward_demodulation,[status(thm)],[f1212,f8789]) ).
fof(f8827,plain,
( ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| sk3 = app(sk8,sk8) ),
inference(backward_demodulation,[status(thm)],[f1212,f8766]) ).
fof(f8838,plain,
( ~ sQ216_spl
| ~ sQ44_spl
| rearsegP(sk8,sk8) ),
inference(backward_demodulation,[status(thm)],[f1212,f3464]) ).
fof(f8871,plain,
( ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ44_spl
| ~ sQ4_spl
| app(sk8,sk8) = sk8 ),
inference(backward_demodulation,[status(thm)],[f1927,f8770]) ).
fof(f8883,plain,
( sQ48_spl
| ~ sQ44_spl
| ~ sQ4_spl
| app(sk8,sk8) != sk3 ),
inference(forward_demodulation,[status(thm)],[f1927,f1850]) ).
fof(f8884,plain,
( sQ48_spl
| ~ sQ44_spl
| ~ sQ4_spl
| ~ sQ12_spl
| ~ sQ46_spl
| sk3 != sk3 ),
inference(forward_demodulation,[status(thm)],[f8770,f8883]) ).
fof(f8885,plain,
( sQ48_spl
| ~ sQ44_spl
| ~ sQ4_spl
| ~ sQ12_spl
| ~ sQ46_spl
| sk8 != sk3 ),
inference(forward_demodulation,[status(thm)],[f1927,f8884]) ).
fof(f8886,plain,
( sQ48_spl
| ~ sQ44_spl
| ~ sQ4_spl
| ~ sQ12_spl
| ~ sQ46_spl
| sk8 != sk8 ),
inference(forward_demodulation,[status(thm)],[f1927,f8885]) ).
fof(f8887,plain,
( sQ48_spl
| ~ sQ44_spl
| ~ sQ4_spl
| ~ sQ12_spl
| ~ sQ46_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8886]) ).
fof(f8888,plain,
( sQ48_spl
| ~ sQ44_spl
| ~ sQ4_spl
| ~ sQ12_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f8887]) ).
fof(f8894,plain,
( sQ86_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ ssList(app(sk8,sk8)) ),
inference(forward_demodulation,[status(thm)],[f1927,f1647]) ).
fof(f8924,plain,
( sQ89_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ ssList(app(sk7,sk8)) ),
inference(forward_demodulation,[status(thm)],[f1927,f1657]) ).
fof(f9018,plain,
( sQ114_spl
| ~ sQ118_spl
| ~ sQ4_spl
| ~ sQ44_spl
| sk7 != app(app(sk7,sk8),sk3) ),
inference(forward_demodulation,[status(thm)],[f1927,f5815]) ).
fof(f9019,plain,
( sQ114_spl
| ~ sQ118_spl
| ~ sQ4_spl
| ~ sQ44_spl
| sk7 != app(app(sk7,sk8),sk8) ),
inference(forward_demodulation,[status(thm)],[f1927,f9018]) ).
fof(f9115,plain,
( sQ114_spl
| ~ sQ118_spl
| ~ sQ4_spl
| ~ sQ44_spl
| sk7 != app(app(sk8,sk8),sk8) ),
inference(backward_demodulation,[status(thm)],[f9133,f9019]) ).
fof(f9117,plain,
( sQ89_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ sQ118_spl
| ~ ssList(app(sk8,sk8)) ),
inference(backward_demodulation,[status(thm)],[f9133,f8924]) ).
fof(f9133,plain,
( ~ sQ118_spl
| ~ sQ44_spl
| sk8 = sk7 ),
inference(forward_demodulation,[status(thm)],[f1212,f2346]) ).
fof(f9238,plain,
( sQ95_spl
| ~ sQ44_spl
| sk8 != app(sk7,sk3) ),
inference(forward_demodulation,[status(thm)],[f1212,f1682]) ).
fof(f9239,plain,
( sQ95_spl
| ~ sQ44_spl
| ~ sQ118_spl
| sk8 != app(sk8,sk3) ),
inference(forward_demodulation,[status(thm)],[f9133,f9238]) ).
fof(f9446,plain,
( sQ400_spl
| ~ sQ327_spl
| ~ sQ118_spl
| ~ sQ44_spl
| ~ segmentP(sk8,sk7) ),
inference(forward_demodulation,[status(thm)],[f9133,f6625]) ).
fof(f9447,plain,
( sQ400_spl
| ~ sQ327_spl
| ~ sQ118_spl
| ~ sQ44_spl
| ~ segmentP(sk8,sk8) ),
inference(forward_demodulation,[status(thm)],[f9133,f9446]) ).
fof(f9517,plain,
( ~ sQ167_spl
| ~ sQ327_spl
| ~ sQ118_spl
| ~ sQ44_spl
| segmentP(sk8,sk8) ),
inference(forward_demodulation,[status(thm)],[f9133,f6687]) ).
fof(f9518,plain,
( ~ sQ167_spl
| ~ sQ327_spl
| ~ sQ118_spl
| ~ sQ44_spl
| sQ400_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9517,f9447]) ).
fof(f9519,plain,
( ~ sQ167_spl
| ~ sQ327_spl
| ~ sQ118_spl
| ~ sQ44_spl
| sQ400_spl ),
inference(contradiction_clause,[status(thm)],[f9518]) ).
fof(f9524,plain,
( sQ131_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ segmentP(sk8,sk3) ),
inference(forward_demodulation,[status(thm)],[f1927,f2499]) ).
fof(f9525,plain,
( sQ131_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ segmentP(sk8,sk8) ),
inference(forward_demodulation,[status(thm)],[f1927,f9524]) ).
fof(f9536,plain,
( ~ sQ167_spl
| ~ sQ228_spl
| sQ131_spl
| ~ sQ4_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6313,f9525]) ).
fof(f9537,plain,
( ~ sQ167_spl
| ~ sQ228_spl
| sQ131_spl
| ~ sQ4_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f9536]) ).
fof(f9607,plain,
( sQ299_spl
| ~ sQ228_spl
| ~ sQ44_spl
| ~ segmentP(sk8,sk8) ),
inference(forward_demodulation,[status(thm)],[f1212,f6292]) ).
fof(f9608,plain,
( sQ326_spl
| ~ sQ228_spl
| ~ sQ118_spl
| ~ sQ44_spl
| ~ frontsegP(sk8,sk8) ),
inference(forward_demodulation,[status(thm)],[f9133,f6299]) ).
fof(f9615,plain,
( ~ sQ20_spl
| ~ sQ4_spl
| ~ sQ44_spl
| sk8 = sk4 ),
inference(forward_demodulation,[status(thm)],[f1927,f777]) ).
fof(f9624,plain,
( ~ sQ495_spl
| ~ sQ4_spl
| ~ sQ44_spl
| segmentP(sk8,sk7) ),
inference(forward_demodulation,[status(thm)],[f1927,f8099]) ).
fof(f9625,plain,
( ~ sQ495_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ sQ118_spl
| segmentP(sk8,sk8) ),
inference(forward_demodulation,[status(thm)],[f9133,f9624]) ).
fof(f9626,plain,
( ~ sQ495_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ sQ118_spl
| sQ299_spl
| ~ sQ228_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9625,f9607]) ).
fof(f9627,plain,
( ~ sQ495_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ sQ118_spl
| sQ299_spl
| ~ sQ228_spl ),
inference(contradiction_clause,[status(thm)],[f9626]) ).
fof(f9960,plain,
( ~ sQ292_spl
| ~ sQ118_spl
| sk7 = skaf82(sk3) ),
inference(forward_demodulation,[status(thm)],[f2346,f4542]) ).
fof(f10115,plain,
( sQ285_spl
| ~ sQ118_spl
| ~ ssList(sk7) ),
inference(resolution,[status(thm)],[f6503,f266]) ).
fof(f10116,plain,
( sQ285_spl
| ~ sQ118_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f10115,f1150,f2345,f4453]) ).
fof(f10157,plain,
( ~ sQ396_spl
| ~ sQ118_spl
| hd(sk3) = hd(sk7) ),
inference(forward_demodulation,[status(thm)],[f2346,f6251]) ).
fof(f10254,plain,
( sQ323_spl
| ~ sQ324_spl
| ~ frontsegP(sk3,sk3) ),
inference(backward_demodulation,[status(thm)],[f4932,f4930]) ).
fof(f10270,plain,
( sQ130_spl
| ~ sQ105_spl
| ~ ssList(sk3) ),
inference(forward_demodulation,[status(thm)],[f2176,f2496]) ).
fof(f10271,plain,
( sQ130_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10270,f438]) ).
fof(f10272,plain,
( sQ130_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f10271]) ).
fof(f10319,plain,
( ~ sQ117_spl
| ~ sQ118_spl
| sk7 = app(sk3,app(sk3,sk8)) ),
inference(forward_demodulation,[status(thm)],[f2346,f2342]) ).
fof(f10421,plain,
( ~ sQ118_spl
| ~ sQ44_spl
| sk8 = sk7 ),
inference(backward_demodulation,[status(thm)],[f1212,f2346]) ).
fof(f10430,plain,
( ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| sk3 = sk8 ),
inference(backward_demodulation,[status(thm)],[f8871,f8827]) ).
fof(f10435,plain,
( sQ398_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ rearsegP(sk7,sk8) ),
inference(backward_demodulation,[status(thm)],[f1927,f6597]) ).
fof(f10490,plain,
( ~ sQ117_spl
| ~ sQ118_spl
| ~ sQ4_spl
| ~ sQ44_spl
| sk7 = app(sk3,app(sk8,sk8)) ),
inference(backward_demodulation,[status(thm)],[f1927,f10319]) ).
fof(f10508,plain,
( sQ308_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ rearsegP(sk3,sk8) ),
inference(backward_demodulation,[status(thm)],[f1927,f4710]) ).
fof(f10659,plain,
( sQ96_spl
| ~ sQ44_spl
| ~ sQ48_spl
| ~ sQ228_spl ),
inference(split_clause,[status(thm)],[f3627,f3784,f1235,f1211,f1684]) ).
fof(f10671,plain,
( ~ sQ285_spl
| ~ sQ118_spl
| sQ374_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5226,f5955]) ).
fof(f10672,plain,
( ~ sQ285_spl
| ~ sQ118_spl
| sQ374_spl ),
inference(contradiction_clause,[status(thm)],[f10671]) ).
fof(f11700,plain,
( sQ306_spl
| ~ sQ228_spl
| ~ rearsegP(sk8,sk8) ),
inference(forward_demodulation,[status(thm)],[f3785,f4646]) ).
fof(f11701,plain,
( sQ306_spl
| ~ sQ228_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11700,f6316]) ).
fof(f11702,plain,
( sQ306_spl
| ~ sQ228_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f11701]) ).
fof(f12105,plain,
( ~ sQ479_spl
| ~ sQ292_spl
| ~ sQ118_spl
| app(sk3,sk7) = sk3 ),
inference(forward_demodulation,[status(thm)],[f9960,f7936]) ).
fof(f12555,plain,
! [X0] :
( ~ sQ118_spl
| X0 = sk7
| ~ ssList(X0)
| ~ ssList(sk7)
| ~ segmentP(sk7,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f5117,f345]) ).
fof(f12556,plain,
! [X0,X1] :
( ~ sQ118_spl
| segmentP(X1,sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sk7)
| ~ segmentP(X1,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f5117,f380]) ).
fof(f12557,definition,
! [X0] :
( sQ515_spl
<=> ( X0 = sk7
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ515_spl])],[split_symbol_definition]) ).
fof(f12560,plain,
( ~ sQ118_spl
| ~ sQ38_spl
| sQ515_spl ),
inference(split_clause,[status(thm)],[f12555,f12557,f1150,f2345]) ).
fof(f12561,definition,
! [X0,X1] :
( sQ516_spl
<=> ( segmentP(X1,sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ516_spl])],[split_symbol_definition]) ).
fof(f12564,plain,
( ~ sQ118_spl
| ~ sQ38_spl
| sQ516_spl ),
inference(split_clause,[status(thm)],[f12556,f12561,f1150,f2345]) ).
fof(f12567,plain,
! [X0] :
( ~ sQ118_spl
| X0 = sk7
| ~ ssList(X0)
| ~ ssList(sk7)
| ~ rearsegP(sk7,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f5116,f346]) ).
fof(f12568,plain,
! [X0,X1] :
( ~ sQ118_spl
| rearsegP(X1,sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sk7)
| ~ rearsegP(X1,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f5116,f382]) ).
fof(f12569,definition,
! [X0] :
( sQ517_spl
<=> ( X0 = sk7
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ517_spl])],[split_symbol_definition]) ).
fof(f12572,plain,
( ~ sQ118_spl
| ~ sQ38_spl
| sQ517_spl ),
inference(split_clause,[status(thm)],[f12567,f12569,f1150,f2345]) ).
fof(f12573,definition,
! [X0,X1] :
( sQ518_spl
<=> ( rearsegP(X1,sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ518_spl])],[split_symbol_definition]) ).
fof(f12576,plain,
( ~ sQ118_spl
| ~ sQ38_spl
| sQ518_spl ),
inference(split_clause,[status(thm)],[f12568,f12573,f1150,f2345]) ).
fof(f12586,plain,
! [X0,X1] :
( ~ sQ479_spl
| ~ sQ292_spl
| ~ sQ118_spl
| segmentP(app(sk3,X1),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ segmentP(sk7,X0) ),
inference(paramodulation,[status(thm)],[f12105,f410]) ).
fof(f12588,plain,
! [X0] :
( ~ sQ479_spl
| ~ sQ292_spl
| ~ sQ118_spl
| X0 = sk3
| ~ ssList(sk3)
| ~ ssList(sk7)
| ~ ssList(X0)
| app(X0,sk7) != sk3 ),
inference(paramodulation,[status(thm)],[f12105,f378]) ).
fof(f12592,plain,
! [X0] :
( ~ sQ479_spl
| ~ sQ292_spl
| ~ sQ118_spl
| rearsegP(sk3,X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ rearsegP(sk7,X0) ),
inference(paramodulation,[status(thm)],[f12105,f356]) ).
fof(f12593,plain,
! [X0] :
( ~ sQ479_spl
| ~ sQ292_spl
| ~ sQ118_spl
| app(sk3,X0) = app(sk3,app(sk7,X0))
| ~ ssList(sk3)
| ~ ssList(sk7)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f12105,f374]) ).
fof(f12594,plain,
! [X0] :
( ~ sQ479_spl
| ~ sQ292_spl
| ~ sQ118_spl
| X0 = sk7
| ~ ssList(sk7)
| ~ ssList(sk3)
| ~ ssList(X0)
| app(sk3,X0) != sk3 ),
inference(paramodulation,[status(thm)],[f12105,f376]) ).
fof(f12596,plain,
! [X0] :
( ~ sQ479_spl
| ~ sQ292_spl
| ~ sQ118_spl
| segmentP(app(sk3,X0),sk7)
| ~ ssList(app(app(sk3,sk7),X0))
| ~ ssList(sk7)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f12105,f511]) ).
fof(f12598,definition,
! [X0,X1] :
( sQ519_spl
<=> ( segmentP(app(sk3,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk7,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ519_spl])],[split_symbol_definition]) ).
fof(f12601,plain,
( ~ sQ479_spl
| ~ sQ292_spl
| ~ sQ118_spl
| ~ sQ38_spl
| ~ sQ17_spl
| sQ519_spl ),
inference(split_clause,[status(thm)],[f12586,f12598,f701,f1150,f2345,f4541,f7935]) ).
fof(f12603,definition,
! [X0] :
( sQ520_spl
<=> ( X0 = sk3
| ~ ssList(X0)
| app(X0,sk7) != sk3 ) ),
introduced(definition,[new_symbols(definition,[sQ520_spl])],[split_symbol_definition]) ).
fof(f12606,plain,
( ~ sQ479_spl
| ~ sQ292_spl
| ~ sQ118_spl
| ~ sQ17_spl
| ~ sQ38_spl
| sQ520_spl ),
inference(split_clause,[status(thm)],[f12588,f12603,f1150,f701,f2345,f4541,f7935]) ).
fof(f12610,definition,
! [X0] :
( sQ521_spl
<=> ( rearsegP(sk3,X0)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ521_spl])],[split_symbol_definition]) ).
fof(f12613,plain,
( ~ sQ479_spl
| ~ sQ292_spl
| ~ sQ118_spl
| ~ sQ38_spl
| ~ sQ17_spl
| sQ521_spl ),
inference(split_clause,[status(thm)],[f12592,f12610,f701,f1150,f2345,f4541,f7935]) ).
fof(f12614,definition,
! [X0] :
( sQ522_spl
<=> ( app(sk3,X0) = app(sk3,app(sk7,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ522_spl])],[split_symbol_definition]) ).
fof(f12617,plain,
( ~ sQ479_spl
| ~ sQ292_spl
| ~ sQ118_spl
| ~ sQ17_spl
| ~ sQ38_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f12593,f12614,f1150,f701,f2345,f4541,f7935]) ).
fof(f12618,definition,
! [X0] :
( sQ523_spl
<=> ( X0 = sk7
| ~ ssList(X0)
| app(sk3,X0) != sk3 ) ),
introduced(definition,[new_symbols(definition,[sQ523_spl])],[split_symbol_definition]) ).
fof(f12621,plain,
( ~ sQ479_spl
| ~ sQ292_spl
| ~ sQ118_spl
| ~ sQ38_spl
| ~ sQ17_spl
| sQ523_spl ),
inference(split_clause,[status(thm)],[f12594,f12618,f701,f1150,f2345,f4541,f7935]) ).
fof(f12623,definition,
! [X0] :
( sQ524_spl
<=> ( segmentP(app(sk3,X0),sk7)
| ~ ssList(app(app(sk3,sk7),X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ524_spl])],[split_symbol_definition]) ).
fof(f12626,plain,
( ~ sQ479_spl
| ~ sQ292_spl
| ~ sQ118_spl
| ~ sQ38_spl
| ~ sQ17_spl
| sQ524_spl ),
inference(split_clause,[status(thm)],[f12596,f12623,f701,f1150,f2345,f4541,f7935]) ).
fof(f12635,plain,
( ~ sQ332_spl
| ~ sQ118_spl
| app(sk3,sk7) = sk3
| ~ ssList(sk3)
| ~ ssList(sk7)
| ~ rearsegP(sk3,sk7) ),
inference(paramodulation,[status(thm)],[f5086,f349]) ).
fof(f12637,definition,
( sQ525_spl
<=> app(sk3,sk7) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ525_spl])],[split_symbol_definition]) ).
fof(f12640,plain,
( ~ sQ332_spl
| ~ sQ118_spl
| sQ525_spl
| ~ sQ17_spl
| ~ sQ38_spl
| ~ sQ500_spl ),
inference(split_clause,[status(thm)],[f12635,f8149,f1150,f701,f12637,f2345,f4972]) ).
fof(f12652,plain,
! [X0] :
( ~ sQ118_spl
| app(X0,sk7) = X0
| ~ ssList(X0)
| ~ ssList(sk7)
| ~ ssList(app(X0,sk7))
| ~ ssList(app(X0,sk7)) ),
inference(resolution,[status(thm)],[f5132,f378]) ).
fof(f12655,definition,
! [X0] :
( sQ528_spl
<=> ( app(X0,sk7) = X0
| ~ ssList(X0)
| ~ ssList(app(X0,sk7))
| ~ ssList(app(X0,sk7)) ) ),
introduced(definition,[new_symbols(definition,[sQ528_spl])],[split_symbol_definition]) ).
fof(f12658,plain,
( ~ sQ118_spl
| ~ sQ38_spl
| sQ528_spl ),
inference(split_clause,[status(thm)],[f12652,f12655,f1150,f2345]) ).
fof(f12662,plain,
( sQ203_spl
| ~ sQ118_spl
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f5131,f3312]) ).
fof(f12663,plain,
! [X0] :
( ~ sQ118_spl
| app(sk7,X0) = X0
| ~ ssList(X0)
| ~ ssList(sk7)
| ~ ssList(app(sk7,X0))
| ~ ssList(app(sk7,X0)) ),
inference(resolution,[status(thm)],[f5131,f376]) ).
fof(f12665,plain,
( sQ203_spl
| ~ sQ118_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f12662,f701,f2345,f3310]) ).
fof(f12666,definition,
! [X0] :
( sQ529_spl
<=> ( app(sk7,X0) = X0
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ ssList(app(sk7,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ529_spl])],[split_symbol_definition]) ).
fof(f12669,plain,
( ~ sQ118_spl
| ~ sQ38_spl
| sQ529_spl ),
inference(split_clause,[status(thm)],[f12663,f12666,f1150,f2345]) ).
fof(f13162,plain,
! [X0] :
( ~ sQ98_spl
| frontsegP(X0,app(sk7,sk3))
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(app(sk7,sk3))
| ~ frontsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f1693,f384]) ).
fof(f13164,definition,
! [X0] :
( sQ530_spl
<=> ( frontsegP(X0,app(sk7,sk3))
| ~ ssList(X0)
| ~ frontsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ530_spl])],[split_symbol_definition]) ).
fof(f13167,plain,
( ~ sQ98_spl
| ~ sQ17_spl
| ~ sQ89_spl
| sQ530_spl ),
inference(split_clause,[status(thm)],[f13162,f13164,f1655,f701,f1692]) ).
fof(f13168,plain,
( ~ sQ97_spl
| sk3 = app(sk3,sk8)
| ~ ssList(sk3)
| ~ ssList(app(sk3,sk8))
| ~ rearsegP(app(sk3,sk8),sk3) ),
inference(resolution,[status(thm)],[f1689,f346]) ).
fof(f13169,plain,
! [X0] :
( ~ sQ97_spl
| rearsegP(X0,app(sk3,sk8))
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(app(sk3,sk8))
| ~ rearsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f1689,f382]) ).
fof(f13170,plain,
( ~ sQ97_spl
| sQ223_spl
| ~ sQ17_spl
| ~ sQ86_spl
| ~ sQ304_spl ),
inference(split_clause,[status(thm)],[f13168,f4636,f1645,f701,f3756,f1688]) ).
fof(f13171,plain,
( ~ sQ97_spl
| ~ sQ17_spl
| ~ sQ86_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f13169,f5603,f1645,f701,f1688]) ).
fof(f13358,plain,
( ~ sQ468_spl
| nil = sk7
| cons(sk9,tl(sk7)) = sk7
| ~ ssList(sk7) ),
inference(paramodulation,[status(thm)],[f7454,f312]) ).
fof(f13365,definition,
( sQ534_spl
<=> cons(sk9,tl(sk7)) = sk7 ),
introduced(definition,[new_symbols(definition,[sQ534_spl])],[split_symbol_definition]) ).
fof(f13366,plain,
( ~ sQ534_spl
| cons(sk9,tl(sk7)) = sk7 ),
inference(component_clause,[status(thm)],[f13365]) ).
fof(f13368,plain,
( ~ sQ468_spl
| sQ118_spl
| sQ534_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f13358,f1150,f13365,f2345,f7453]) ).
fof(f13378,plain,
( ~ sQ534_spl
| ~ sQ313_spl
| frontsegP(sk7,sk3)
| ~ ssList(tl(sk7)) ),
inference(paramodulation,[status(thm)],[f13366,f4739]) ).
fof(f13379,definition,
( sQ535_spl
<=> ssList(tl(sk7)) ),
introduced(definition,[new_symbols(definition,[sQ535_spl])],[split_symbol_definition]) ).
fof(f13381,plain,
( sQ535_spl
| ~ ssList(tl(sk7)) ),
inference(component_clause,[status(thm)],[f13379]) ).
fof(f13382,plain,
( ~ sQ534_spl
| ~ sQ313_spl
| sQ326_spl
| ~ sQ535_spl ),
inference(split_clause,[status(thm)],[f13378,f13379,f4939,f4735,f13365]) ).
fof(f13383,plain,
( sQ535_spl
| nil = sk7
| ~ ssList(sk7) ),
inference(resolution,[status(thm)],[f13381,f281]) ).
fof(f13384,plain,
( sQ535_spl
| sQ118_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f13383,f1150,f2345,f13379]) ).
fof(f13390,plain,
( sQ502_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| skaf46(sk8,sk8) != nil ),
inference(backward_demodulation,[status(thm)],[f10430,f8168]) ).
fof(f13392,plain,
( ~ sQ332_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| sk3 = skaf46(sk8,nil) ),
inference(backward_demodulation,[status(thm)],[f10430,f4973]) ).
fof(f13396,plain,
( ~ sQ169_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| segmentP(sk8,nil) ),
inference(backward_demodulation,[status(thm)],[f10430,f2756]) ).
fof(f13498,plain,
( ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| sk8 = app(sk8,sk8) ),
inference(forward_demodulation,[status(thm)],[f10430,f8827]) ).
fof(f13609,plain,
( ~ sQ52_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| sk8 = app(sk7,app(cons(sk6,nil),sk8)) ),
inference(forward_demodulation,[status(thm)],[f10430,f8816]) ).
fof(f13610,plain,
( ~ sQ52_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| sk8 = app(sk7,nil) ),
inference(forward_demodulation,[status(thm)],[f1208,f13609]) ).
fof(f14091,plain,
( ~ sQ396_spl
| ~ sQ118_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f10157,f5029,f2345,f6250]) ).
fof(f14170,plain,
( sQ323_spl
| ~ sQ324_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f10254,f1255,f4931,f4928]) ).
fof(f14208,plain,
( sQ308_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ rearsegP(sk8,sk8) ),
inference(forward_demodulation,[status(thm)],[f10430,f10508]) ).
fof(f14209,plain,
( sQ308_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ216_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14208,f8838]) ).
fof(f14210,plain,
( sQ308_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ216_spl ),
inference(contradiction_clause,[status(thm)],[f14209]) ).
fof(f14316,plain,
( ~ sQ117_spl
| ~ sQ118_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| sk7 = app(sk8,app(sk8,sk8)) ),
inference(forward_demodulation,[status(thm)],[f10430,f10490]) ).
fof(f14317,plain,
( ~ sQ117_spl
| ~ sQ118_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| sk7 = app(sk8,sk8) ),
inference(forward_demodulation,[status(thm)],[f13498,f14316]) ).
fof(f14410,plain,
( ~ sQ117_spl
| ~ sQ118_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| sk7 = sk8 ),
inference(forward_demodulation,[status(thm)],[f13498,f14317]) ).
fof(f14766,plain,
( ~ sQ71_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| memberP(sk8,sk6) ),
inference(forward_demodulation,[status(thm)],[f10430,f1404]) ).
fof(f14959,plain,
( sQ86_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ ssList(sk8) ),
inference(forward_demodulation,[status(thm)],[f13498,f8894]) ).
fof(f14960,plain,
( sQ86_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14959,f445]) ).
fof(f14961,plain,
( sQ86_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f14960]) ).
fof(f14983,plain,
( sQ114_spl
| ~ sQ118_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ sQ117_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| sk8 != app(app(sk8,sk8),sk8) ),
inference(forward_demodulation,[status(thm)],[f14410,f9115]) ).
fof(f14984,plain,
( sQ114_spl
| ~ sQ118_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ sQ117_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| sk8 != app(sk8,sk8) ),
inference(forward_demodulation,[status(thm)],[f13498,f14983]) ).
fof(f14985,plain,
( sQ114_spl
| ~ sQ118_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ sQ117_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| sk8 != sk8 ),
inference(forward_demodulation,[status(thm)],[f13498,f14984]) ).
fof(f14986,plain,
( sQ114_spl
| ~ sQ118_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ sQ117_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f14985]) ).
fof(f14987,plain,
( sQ114_spl
| ~ sQ118_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ sQ117_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f14986]) ).
fof(f14993,plain,
( sQ89_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ sQ118_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ ssList(sk8) ),
inference(forward_demodulation,[status(thm)],[f13498,f9117]) ).
fof(f14994,plain,
( sQ89_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ sQ118_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14993,f445]) ).
fof(f14995,plain,
( sQ89_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ sQ118_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f14994]) ).
fof(f14997,plain,
( ~ sQ118_spl
| ~ sQ44_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f9133,f3911,f1211,f2345]) ).
fof(f15034,plain,
( sQ95_spl
| ~ sQ44_spl
| ~ sQ118_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| sk8 != app(sk8,sk8) ),
inference(forward_demodulation,[status(thm)],[f10430,f9239]) ).
fof(f15035,plain,
( sQ95_spl
| ~ sQ44_spl
| ~ sQ118_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| sk8 != sk8 ),
inference(forward_demodulation,[status(thm)],[f13498,f15034]) ).
fof(f15036,plain,
( sQ95_spl
| ~ sQ44_spl
| ~ sQ118_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f15035]) ).
fof(f15037,plain,
( sQ95_spl
| ~ sQ44_spl
| ~ sQ118_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f15036]) ).
fof(f15081,plain,
( ~ sQ40_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ30_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| frontsegP(sk8,sk8) ),
inference(forward_demodulation,[status(thm)],[f10430,f8762]) ).
fof(f15120,plain,
( sQ398_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ sQ118_spl
| ~ rearsegP(sk8,sk8) ),
inference(forward_demodulation,[status(thm)],[f10421,f10435]) ).
fof(f15121,plain,
( sQ398_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ sQ118_spl
| ~ sQ216_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f15120,f8838]) ).
fof(f15122,plain,
( sQ398_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ sQ118_spl
| ~ sQ216_spl ),
inference(contradiction_clause,[status(thm)],[f15121]) ).
fof(f15157,plain,
( ~ sQ4_spl
| ~ sQ44_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f1927,f3784,f1211,f472]) ).
fof(f15346,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ20_spl
| ~ sQ4_spl
| ~ sQ44_spl
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(forward_demodulation,[status(thm)],[f9615,f747]) ).
fof(f15480,plain,
( ~ sQ203_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| app(sk7,sk8) = sk3 ),
inference(forward_demodulation,[status(thm)],[f10430,f3311]) ).
fof(f15489,plain,
( ~ sQ203_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| app(sk7,sk8) = sk8 ),
inference(forward_demodulation,[status(thm)],[f10430,f15480]) ).
fof(f15649,plain,
( sQ105_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| sk8 != app(app(sk7,sk3),app(sk3,sk8)) ),
inference(forward_demodulation,[status(thm)],[f10430,f2177]) ).
fof(f15650,plain,
( sQ105_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| sk8 != app(app(sk7,sk8),app(sk3,sk8)) ),
inference(forward_demodulation,[status(thm)],[f10430,f15649]) ).
fof(f15651,plain,
( sQ105_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ203_spl
| sk8 != app(sk8,app(sk3,sk8)) ),
inference(forward_demodulation,[status(thm)],[f15489,f15650]) ).
fof(f15652,plain,
( sQ105_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ203_spl
| sk8 != app(sk8,app(sk8,sk8)) ),
inference(forward_demodulation,[status(thm)],[f10430,f15651]) ).
fof(f15653,plain,
( sQ105_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ203_spl
| sk8 != app(sk8,sk8) ),
inference(forward_demodulation,[status(thm)],[f13498,f15652]) ).
fof(f15654,plain,
( sQ105_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ203_spl
| sk8 != sk8 ),
inference(forward_demodulation,[status(thm)],[f13498,f15653]) ).
fof(f15655,plain,
( sQ105_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ203_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f15654]) ).
fof(f15656,plain,
( sQ105_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ203_spl ),
inference(contradiction_clause,[status(thm)],[f15655]) ).
fof(f15659,plain,
( sQ502_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| skaf46(sk8,sk8) != sk8 ),
inference(forward_demodulation,[status(thm)],[f1212,f13390]) ).
fof(f15662,plain,
( ~ sQ332_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| sk8 = skaf46(sk8,nil) ),
inference(forward_demodulation,[status(thm)],[f10430,f13392]) ).
fof(f15663,plain,
( ~ sQ332_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| sk8 = skaf46(sk8,sk8) ),
inference(forward_demodulation,[status(thm)],[f1212,f15662]) ).
fof(f15664,plain,
( ~ sQ332_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| sQ502_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f15663,f15659]) ).
fof(f15665,plain,
( ~ sQ332_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| sQ502_spl ),
inference(contradiction_clause,[status(thm)],[f15664]) ).
fof(f15669,plain,
( ~ sQ169_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| segmentP(sk8,sk8) ),
inference(forward_demodulation,[status(thm)],[f1212,f13396]) ).
fof(f15784,plain,
( sQ324_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| sk8 != app(app(sk7,sk3),sk3) ),
inference(forward_demodulation,[status(thm)],[f10430,f4933]) ).
fof(f15785,plain,
( sQ324_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| sk8 != app(app(sk7,sk8),sk3) ),
inference(forward_demodulation,[status(thm)],[f10430,f15784]) ).
fof(f15786,plain,
( sQ324_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| sk8 != app(app(sk7,sk8),sk8) ),
inference(forward_demodulation,[status(thm)],[f10430,f15785]) ).
fof(f15802,plain,
( sQ87_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| sk8 != app(sk7,app(sk3,app(sk3,sk8))) ),
inference(forward_demodulation,[status(thm)],[f10430,f1650]) ).
fof(f15803,plain,
( sQ87_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| sk8 != app(sk7,app(sk8,app(sk3,sk8))) ),
inference(forward_demodulation,[status(thm)],[f10430,f15802]) ).
fof(f15804,plain,
( sQ87_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| sk8 != app(sk7,app(sk8,app(sk8,sk8))) ),
inference(forward_demodulation,[status(thm)],[f10430,f15803]) ).
fof(f15805,plain,
( sQ87_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| sk8 != app(sk7,app(sk8,sk8)) ),
inference(forward_demodulation,[status(thm)],[f13498,f15804]) ).
fof(f15806,plain,
( sQ87_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| sk8 != app(sk7,sk8) ),
inference(forward_demodulation,[status(thm)],[f13498,f15805]) ).
fof(f15957,plain,
( ~ sQ44_spl
| ~ singletonP(sk8) ),
inference(forward_demodulation,[status(thm)],[f1212,f216]) ).
fof(f16100,plain,
( ~ sQ52_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| sk8 = app(sk7,sk8) ),
inference(forward_demodulation,[status(thm)],[f1212,f13610]) ).
fof(f16101,plain,
( ~ sQ52_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f16100,f15806]) ).
fof(f16102,plain,
( ~ sQ52_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f16101]) ).
fof(f16108,plain,
( ~ sQ204_spl
| ~ sQ44_spl
| app(sk7,sk8) = sk3 ),
inference(forward_demodulation,[status(thm)],[f1212,f3317]) ).
fof(f16111,plain,
( sQ324_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ204_spl
| sk8 != app(sk8,sk8) ),
inference(backward_demodulation,[status(thm)],[f16133,f15786]) ).
fof(f16133,plain,
( ~ sQ204_spl
| ~ sQ44_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| app(sk7,sk8) = sk8 ),
inference(forward_demodulation,[status(thm)],[f10430,f16108]) ).
fof(f16955,plain,
( sQ326_spl
| ~ sQ228_spl
| ~ sQ118_spl
| ~ sQ44_spl
| ~ sQ40_spl
| ~ sQ45_spl
| ~ sQ30_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9608,f15081]) ).
fof(f16956,plain,
( sQ326_spl
| ~ sQ228_spl
| ~ sQ118_spl
| ~ sQ44_spl
| ~ sQ40_spl
| ~ sQ45_spl
| ~ sQ30_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f16955]) ).
fof(f18072,plain,
( sQ324_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ204_spl
| sk8 != sk8 ),
inference(forward_demodulation,[status(thm)],[f13498,f16111]) ).
fof(f18073,plain,
( sQ324_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ204_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f18072]) ).
fof(f18074,plain,
( sQ324_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ204_spl ),
inference(contradiction_clause,[status(thm)],[f18073]) ).
fof(f18147,plain,
( ~ sQ44_spl
| ~ sQ255_spl ),
inference(split_clause,[status(thm)],[f15957,f4007,f1211]) ).
fof(f19456,plain,
! [X0] :
( ~ sQ216_spl
| ~ sQ44_spl
| rearsegP(X0,sk8)
| ~ ssList(X0)
| ~ ssList(sk8)
| ~ ssList(sk8)
| ~ rearsegP(X0,sk8) ),
inference(resolution,[status(thm)],[f8838,f382]) ).
fof(f19457,definition,
( sQ536_spl
<=> rearsegP(sk8,sk8) ),
introduced(definition,[new_symbols(definition,[sQ536_spl])],[split_symbol_definition]) ).
fof(f19459,plain,
( sQ536_spl
| ~ rearsegP(sk8,sk8) ),
inference(component_clause,[status(thm)],[f19457]) ).
fof(f19461,definition,
! [X0] :
( sQ537_spl
<=> ( rearsegP(X0,sk8)
| ~ ssList(X0)
| ~ rearsegP(X0,sk8) ) ),
introduced(definition,[new_symbols(definition,[sQ537_spl])],[split_symbol_definition]) ).
fof(f19464,plain,
( ~ sQ216_spl
| ~ sQ44_spl
| ~ sQ24_spl
| sQ537_spl ),
inference(split_clause,[status(thm)],[f19456,f19461,f1006,f1211,f3463]) ).
fof(f19465,plain,
( sQ536_spl
| ~ sQ216_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f19459,f8838]) ).
fof(f19466,plain,
( sQ536_spl
| ~ sQ216_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f19465]) ).
fof(f19470,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ30_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| frontsegP(X0,sk8)
| ~ ssList(X0)
| ~ ssList(sk8)
| ~ ssList(sk8)
| ~ frontsegP(X0,sk8) ),
inference(resolution,[status(thm)],[f15081,f384]) ).
fof(f19471,definition,
( sQ538_spl
<=> frontsegP(sk8,sk8) ),
introduced(definition,[new_symbols(definition,[sQ538_spl])],[split_symbol_definition]) ).
fof(f19473,plain,
( sQ538_spl
| ~ frontsegP(sk8,sk8) ),
inference(component_clause,[status(thm)],[f19471]) ).
fof(f19475,definition,
! [X0] :
( sQ539_spl
<=> ( frontsegP(X0,sk8)
| ~ ssList(X0)
| ~ frontsegP(X0,sk8) ) ),
introduced(definition,[new_symbols(definition,[sQ539_spl])],[split_symbol_definition]) ).
fof(f19478,plain,
( ~ sQ40_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ30_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ24_spl
| sQ539_spl ),
inference(split_clause,[status(thm)],[f19470,f19475,f1006,f472,f1225,f656,f1207,f1047,f1211,f1221,f1184]) ).
fof(f19479,plain,
( sQ538_spl
| ~ sQ40_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ30_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f19473,f15081]) ).
fof(f19480,plain,
( sQ538_spl
| ~ sQ40_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ30_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f19479]) ).
fof(f19482,plain,
! [X0] :
( ~ sQ169_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| segmentP(X0,sk8)
| ~ ssList(X0)
| ~ ssList(sk8)
| ~ ssList(sk8)
| ~ segmentP(X0,sk8) ),
inference(resolution,[status(thm)],[f15669,f380]) ).
fof(f19483,definition,
( sQ540_spl
<=> segmentP(sk8,sk8) ),
introduced(definition,[new_symbols(definition,[sQ540_spl])],[split_symbol_definition]) ).
fof(f19485,plain,
( sQ540_spl
| ~ segmentP(sk8,sk8) ),
inference(component_clause,[status(thm)],[f19483]) ).
fof(f19487,definition,
! [X0] :
( sQ541_spl
<=> ( segmentP(X0,sk8)
| ~ ssList(X0)
| ~ segmentP(X0,sk8) ) ),
introduced(definition,[new_symbols(definition,[sQ541_spl])],[split_symbol_definition]) ).
fof(f19490,plain,
( ~ sQ169_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ24_spl
| sQ541_spl ),
inference(split_clause,[status(thm)],[f19482,f19487,f1006,f472,f1225,f656,f1207,f1211,f1221,f1047,f2755]) ).
fof(f19491,plain,
( sQ540_spl
| ~ sQ169_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f19485,f15669]) ).
fof(f19492,plain,
( sQ540_spl
| ~ sQ169_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f19491]) ).
fof(f19494,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| frontsegP(sk8,X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(sk8)
| ~ frontsegP(sk8,X0) ),
inference(paramodulation,[status(thm)],[f13498,f357]) ).
fof(f19496,plain,
! [X0,X1] :
( ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| segmentP(app(sk8,X1),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ segmentP(sk8,X0) ),
inference(paramodulation,[status(thm)],[f13498,f410]) ).
fof(f19498,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| X0 = sk8
| ~ ssList(sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| app(X0,sk8) != sk8 ),
inference(paramodulation,[status(thm)],[f13498,f378]) ).
fof(f19501,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| rearsegP(sk8,X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(sk8)
| ~ rearsegP(sk8,X0) ),
inference(paramodulation,[status(thm)],[f13498,f356]) ).
fof(f19502,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| app(sk8,X0) = app(sk8,app(sk8,X0))
| ~ ssList(sk8)
| ~ ssList(sk8)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f13498,f374]) ).
fof(f19503,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| X0 = sk8
| ~ ssList(sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| app(sk8,X0) != sk8 ),
inference(paramodulation,[status(thm)],[f13498,f376]) ).
fof(f19505,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| segmentP(app(sk8,X0),sk8)
| ~ ssList(app(app(sk8,sk8),X0))
| ~ ssList(sk8)
| ~ ssList(sk8)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f13498,f511]) ).
fof(f19506,definition,
! [X0] :
( sQ542_spl
<=> ( frontsegP(sk8,X0)
| ~ ssList(X0)
| ~ frontsegP(sk8,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ542_spl])],[split_symbol_definition]) ).
fof(f19509,plain,
( ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ24_spl
| sQ542_spl ),
inference(split_clause,[status(thm)],[f19494,f19506,f1006,f472,f1225,f656,f1207,f1211,f1221,f1047]) ).
fof(f19511,definition,
! [X0,X1] :
( sQ543_spl
<=> ( segmentP(app(sk8,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk8,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ543_spl])],[split_symbol_definition]) ).
fof(f19514,plain,
( ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ24_spl
| sQ543_spl ),
inference(split_clause,[status(thm)],[f19496,f19511,f1006,f472,f1225,f656,f1207,f1211,f1221,f1047]) ).
fof(f19516,definition,
! [X0] :
( sQ544_spl
<=> ( X0 = sk8
| ~ ssList(X0)
| app(X0,sk8) != sk8 ) ),
introduced(definition,[new_symbols(definition,[sQ544_spl])],[split_symbol_definition]) ).
fof(f19519,plain,
( ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ24_spl
| sQ544_spl ),
inference(split_clause,[status(thm)],[f19498,f19516,f1006,f472,f1225,f656,f1207,f1211,f1221,f1047]) ).
fof(f19522,definition,
! [X0] :
( sQ545_spl
<=> ( rearsegP(sk8,X0)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ545_spl])],[split_symbol_definition]) ).
fof(f19525,plain,
( ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ24_spl
| sQ545_spl ),
inference(split_clause,[status(thm)],[f19501,f19522,f1006,f472,f1225,f656,f1207,f1211,f1221,f1047]) ).
fof(f19526,definition,
! [X0] :
( sQ546_spl
<=> ( app(sk8,X0) = app(sk8,app(sk8,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ546_spl])],[split_symbol_definition]) ).
fof(f19529,plain,
( ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ24_spl
| sQ546_spl ),
inference(split_clause,[status(thm)],[f19502,f19526,f1006,f472,f1225,f656,f1207,f1211,f1221,f1047]) ).
fof(f19530,definition,
! [X0] :
( sQ547_spl
<=> ( X0 = sk8
| ~ ssList(X0)
| app(sk8,X0) != sk8 ) ),
introduced(definition,[new_symbols(definition,[sQ547_spl])],[split_symbol_definition]) ).
fof(f19533,plain,
( ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ24_spl
| sQ547_spl ),
inference(split_clause,[status(thm)],[f19503,f19530,f1006,f472,f1225,f656,f1207,f1211,f1221,f1047]) ).
fof(f19535,definition,
! [X0] :
( sQ548_spl
<=> ( segmentP(app(sk8,X0),sk8)
| ~ ssList(app(app(sk8,sk8),X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ548_spl])],[split_symbol_definition]) ).
fof(f19538,plain,
( ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ24_spl
| sQ548_spl ),
inference(split_clause,[status(thm)],[f19505,f19535,f1006,f472,f1225,f656,f1207,f1211,f1221,f1047]) ).
fof(f19540,plain,
( ~ sQ71_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ20_spl
| ~ ssItem(sk6) ),
inference(resolution,[status(thm)],[f15346,f14766]) ).
fof(f19541,plain,
( ~ sQ71_spl
| ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ20_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f19540,f667,f776,f468,f472,f1225,f656,f1207,f1211,f1221,f1047,f1403]) ).
fof(f19542,plain,
$false,
inference(sat_refutation,[status(thm)],[f464,f471,f475,f479,f488,f636,f673,f680,f683,f685,f704,f711,f784,f902,f1015,f1019,f1024,f1050,f1054,f1056,f1065,f1070,f1078,f1112,f1120,f1123,f1147,f1153,f1155,f1157,f1176,f1181,f1187,f1194,f1205,f1210,f1214,f1224,f1228,f1233,f1238,f1254,f1258,f1262,f1274,f1279,f1283,f1312,f1331,f1336,f1340,f1344,f1359,f1363,f1367,f1376,f1380,f1384,f1390,f1394,f1402,f1406,f1415,f1424,f1432,f1436,f1440,f1456,f1460,f1464,f1523,f1651,f1704,f2075,f2122,f2344,f2348,f2352,f2356,f2360,f2364,f2368,f2373,f2377,f2381,f2385,f2390,f2449,f2508,f2512,f2537,f2682,f2686,f2700,f2704,f2746,f2752,f2758,f2817,f2981,f2985,f3082,f3301,f3305,f3313,f3319,f3412,f3417,f3421,f3430,f3435,f3439,f3443,f3454,f3462,f3466,f3709,f3711,f3715,f3719,f3725,f3832,f3841,f3860,f3957,f3991,f4524,f4552,f4611,f4635,f4643,f4651,f4945,f4950,f4962,f4966,f4975,f4981,f4997,f5001,f5005,f5013,f5032,f5044,f5245,f5246,f5252,f5579,f5583,f5587,f5602,f5610,f5630,f5634,f5641,f5952,f5959,f6196,f6221,f6225,f6432,f6594,f6598,f6606,f6793,f6990,f7045,f7053,f7061,f7081,f7090,f7217,f7219,f7315,f7322,f7374,f7431,f7460,f7583,f7607,f7759,f7773,f7780,f7787,f7792,f7794,f7796,f7798,f7800,f7802,f7919,f7930,f8013,f8017,f8022,f8029,f8033,f8037,f8042,f8049,f8053,f8064,f8068,f8078,f8082,f8093,f8097,f8102,f8116,f8117,f8118,f8119,f8124,f8125,f8129,f8130,f8131,f8133,f8144,f8148,f8152,f8159,f8174,f8180,f8292,f8393,f8397,f8401,f8405,f8407,f8412,f8416,f8420,f8425,f8429,f8755,f8772,f8888,f9519,f9537,f9627,f10116,f10272,f10659,f10672,f11702,f12560,f12564,f12572,f12576,f12601,f12606,f12613,f12617,f12621,f12626,f12640,f12658,f12665,f12669,f13167,f13170,f13171,f13368,f13382,f13384,f14091,f14170,f14210,f14961,f14987,f14995,f14997,f15037,f15122,f15157,f15656,f15665,f16102,f16956,f18074,f18147,f19464,f19466,f19478,f19480,f19490,f19492,f19509,f19514,f19519,f19525,f19529,f19533,f19538,f19541]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC164-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.53 % Computer : n007.cluster.edu
% 0.10/0.53 % Model : x86_64 x86_64
% 0.10/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.53 % Memory : 8046.5625MB
% 0.10/0.53 % OS : Linux 6.8.0-71-generic
% 0.10/0.53 % CPULimit : 300
% 0.10/0.53 % WCLimit : 300
% 0.10/0.53 % DateTime : Mon Sep 21 07:58:37 UTC 2026
% 0.10/0.53 % CPUTime :
% 0.10/0.55 % Drodi V4.1.1
% 40.70/6.06 % Refutation found
% 40.70/6.06 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 40.70/6.06 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 42.90/6.14 % Elapsed time: 5.592126 seconds
% 42.90/6.14 % CPU time: 43.721130 seconds
% 42.90/6.14 % Total memory used: 315.846 MB
% 42.90/6.14 % Net memory used: 295.333 MB
%------------------------------------------------------------------------------