%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC070-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:39:51 PM UTC 2026
% Result : Unsatisfiable 3.71s 1.19s
% Output : CNFRefutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 431
% Syntax : Number of formulae : 1368 ( 88 unt; 373 def)
% Number of atoms : 5634 ( 410 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 8104 (3838 ~;3893 |; 0 &)
% ( 373 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 381 ( 379 usr; 374 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 5 con; 0-2 aty)
% Number of variables : 1639 (1639 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(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(f19,axiom,
! [U] : ssList(skaf76(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [U] : ssList(skaf75(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [U] : ssList(skaf73(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [U] : ssList(skaf72(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [U] : ssList(skaf71(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [U] : ssList(skaf68(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [U] : ssList(skaf67(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [U] : ssList(skaf66(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [U] : ssList(skaf63(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [U] : ssList(skaf62(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [U] : ssList(skaf61(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [U] : ssList(skaf58(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [U] : ssList(skaf57(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [U] : ssList(skaf56(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(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(f60,axiom,
! [U] :
( frontsegP(U,nil)
| ~ 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(f80,axiom,
! [U] :
( nil = U
| ~ ssList(U)
| ~ segmentP(nil,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f84,axiom,
! [U] :
( nil = U
| ~ ssList(U)
| ~ frontsegP(nil,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(f100,axiom,
! [U,V] :
( V = U
| neq(V,U)
| ~ ssList(V)
| ~ ssList(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(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(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(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(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(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(f174,axiom,
! [U,V,W,X] :
( frontsegP(V,X)
| ~ ssItem(U)
| ~ ssItem(W)
| ~ ssList(V)
| ~ ssList(X)
| ~ frontsegP(cons(U,V),cons(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(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(f190,negated_conjecture,
sk2 = 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,
! [A] :
( ~ segmentP(sk1,A)
| ~ segmentP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
( nil != sk1
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( neq(sk3,nil)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
( frontsegP(sk4,sk3)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
( neq(sk3,nil)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
( frontsegP(sk4,sk3)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f205,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f209,plain,
! [X0] : ssItem(skaf83(X0)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f210,plain,
! [X0] : ssList(skaf82(X0)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f212,plain,
! [X0] : ssList(skaf80(X0)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f215,plain,
! [X0] : ssList(skaf77(X0)),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f216,plain,
! [X0] : ssList(skaf76(X0)),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f217,plain,
! [X0] : ssList(skaf75(X0)),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f219,plain,
! [X0] : ssList(skaf73(X0)),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f220,plain,
! [X0] : ssList(skaf72(X0)),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f221,plain,
! [X0] : ssList(skaf71(X0)),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f224,plain,
! [X0] : ssList(skaf68(X0)),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f225,plain,
! [X0] : ssList(skaf67(X0)),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f226,plain,
! [X0] : ssList(skaf66(X0)),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f229,plain,
! [X0] : ssList(skaf63(X0)),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f230,plain,
! [X0] : ssList(skaf62(X0)),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f231,plain,
! [X0] : ssList(skaf61(X0)),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f234,plain,
! [X0] : ssList(skaf58(X0)),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f235,plain,
! [X0] : ssList(skaf57(X0)),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f236,plain,
! [X0] : ssList(skaf56(X0)),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f239,plain,
! [X0] : ssList(skaf53(X0)),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f240,plain,
! [X0] : ssList(skaf52(X0)),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f241,plain,
! [X0] : ssList(skaf51(X0)),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f248,plain,
! [X0,X1] : ssList(skaf45(X0,X1)),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f253,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f254,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f255,plain,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f257,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f271,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f272,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f278,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f282,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(cnf_transformation,[status(thm)],[f84]) ).
fof(f283,plain,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f284,plain,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f300,plain,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f331,plain,
! [X0,X1] :
( hd(app(X1,X0)) = hd(X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f337,plain,
! [X0,X1] :
( X1 = X0
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f338,plain,
! [X0,X1] :
( X1 = X0
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f339,plain,
! [X0,X1] :
( X1 = X0
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f341,plain,
! [X0,X1] :
( app(skaf46(X0,X1),X1) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f342,plain,
! [X0,X1] :
( app(X1,skaf45(X0,X1)) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f132]) ).
fof(f349,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(f357,plain,
! [U,W] :
( frontsegP(W,U)
| ~ ssList(W)
| ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| app(U,V) != W ) ),
inference(miniscoping,[status(thm)],[f144]) ).
fof(f358,plain,
! [X0,X1,X2] :
( frontsegP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != X2 ),
inference(cnf_transformation,[status(thm)],[f357]) ).
fof(f371,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(f372,plain,
! [X0,X1,X2] :
( segmentP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f375,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(f376,plain,
! [X0,X1,X2] :
( frontsegP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f375]) ).
fof(f402,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(f403,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(f404,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)],[f403]) ).
fof(f405,plain,
! [V,X] :
( frontsegP(V,X)
| ! [U] :
( ~ ssItem(U)
| ! [W] :
( ~ ssItem(W)
| ~ ssList(V)
| ~ ssList(X)
| ~ frontsegP(cons(U,V),cons(W,X)) ) ) ),
inference(miniscoping,[status(thm)],[f174]) ).
fof(f406,plain,
! [X0,X1,X2,X3] :
( frontsegP(X1,X3)
| ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f405]) ).
fof(f409,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(f410,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)],[f409]) ).
fof(f430,plain,
ssList(sk3),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f431,plain,
ssList(sk4),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f432,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f433,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f434,plain,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f435,plain,
( nil != sk1
| nil != sk2 ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f436,plain,
( neq(sk3,nil)
| nil = sk4 ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f437,plain,
( frontsegP(sk4,sk3)
| nil = sk4 ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f438,plain,
( neq(sk3,nil)
| nil = sk3 ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f439,plain,
( frontsegP(sk4,sk3)
| nil = sk3 ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f447,definition,
( sQ2_spl
<=> nil = sk2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f449,plain,
( sQ2_spl
| nil != sk2 ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,definition,
( sQ3_spl
<=> nil = sk1 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f452,plain,
( sQ3_spl
| nil != sk1 ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f435,f447,f450]) ).
fof(f454,definition,
( sQ4_spl
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f455,plain,
( ~ sQ4_spl
| nil = sk4 ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,definition,
( sQ5_spl
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f458,plain,
( ~ sQ5_spl
| neq(sk3,nil) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,plain,
( sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f436,f454,f457]) ).
fof(f461,definition,
( sQ6_spl
<=> frontsegP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( ~ sQ6_spl
| frontsegP(sk4,sk3) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,plain,
( sQ6_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f437,f454,f461]) ).
fof(f465,definition,
( sQ7_spl
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( ~ sQ7_spl
| nil = sk3 ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f468,plain,
( sQ5_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f438,f465,f457]) ).
fof(f469,plain,
( sQ6_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f439,f465,f461]) ).
fof(f485,plain,
! [X0,X1] :
( frontsegP(app(X1,X0),X1)
| ~ ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f358]) ).
fof(f488,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)],[f404]) ).
fof(f503,plain,
( ~ sQ4_spl
| sk2 = nil ),
inference(backward_demodulation,[status(thm)],[f455,f432]) ).
fof(f506,plain,
( ~ ssList(nil)
| nil = nil
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f278,f253]) ).
fof(f508,definition,
( sQ8_spl
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f510,plain,
( sQ8_spl
| ~ ssList(nil) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,definition,
( sQ9_spl
<=> nil = nil ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f506,f508,f511]) ).
fof(f516,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f510,f205]) ).
fof(f517,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f516]) ).
fof(f518,plain,
( ~ sQ4_spl
| sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f503,f449]) ).
fof(f519,plain,
( ~ sQ4_spl
| sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f518]) ).
fof(f520,plain,
( sQ3_spl
| nil != sk3 ),
inference(forward_demodulation,[status(thm)],[f433,f452]) ).
fof(f525,plain,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f432,f434]) ).
fof(f526,plain,
! [X0] :
( ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f433,f525]) ).
fof(f527,plain,
( ~ sQ5_spl
| ~ segmentP(sk3,sk3)
| ~ segmentP(sk4,sk3)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f526,f458]) ).
fof(f528,definition,
( sQ10_spl
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f530,plain,
( sQ10_spl
| ~ ssList(sk3) ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,definition,
( sQ11_spl
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f534,definition,
( sQ12_spl
<=> segmentP(sk3,sk3) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f535,plain,
( ~ sQ12_spl
| segmentP(sk3,sk3) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f536,plain,
( sQ12_spl
| ~ segmentP(sk3,sk3) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,plain,
( ~ sQ5_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f527,f528,f531,f534,f457]) ).
fof(f538,plain,
( ~ sQ7_spl
| sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f466,f520]) ).
fof(f539,plain,
( ~ sQ7_spl
| sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f538]) ).
fof(f541,plain,
! [X0] :
( ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ ssList(X0)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f300,f526]) ).
fof(f542,definition,
! [X0] :
( sQ13_spl
<=> ( ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ ssList(X0)
| X0 = nil
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f545,plain,
( sQ13_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f541,f508,f542]) ).
fof(f567,plain,
( sQ12_spl
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f536,f254]) ).
fof(f568,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f567,f430]) ).
fof(f569,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f568]) ).
fof(f570,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f530,f430]) ).
fof(f571,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f570]) ).
fof(f573,plain,
! [X0] :
( ~ ssList(X0)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(nil,X0) ),
inference(resolution,[status(thm)],[f337,f253]) ).
fof(f575,definition,
( sQ16_spl
<=> sk3 = sk3 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f579,definition,
! [X0] :
( sQ17_spl
<=> ( ~ ssList(X0)
| X0 = nil
| ~ ssList(X0)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f582,plain,
( ~ sQ8_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f573,f579,f508]) ).
fof(f585,plain,
! [X0] :
( ~ ssList(X0)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(nil)
| ~ frontsegP(nil,X0) ),
inference(resolution,[status(thm)],[f339,f257]) ).
fof(f590,definition,
( sQ19_spl
<=> ssList(sk4) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f592,plain,
( sQ19_spl
| ~ ssList(sk4) ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f597,definition,
! [X0] :
( sQ21_spl
<=> ( ~ ssList(X0)
| X0 = nil
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f600,plain,
( ~ sQ8_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f585,f597,f508]) ).
fof(f609,plain,
( ~ ssList(sk4)
| ~ segmentP(sk3,nil)
| ~ neq(nil,nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f526,f253]) ).
fof(f611,definition,
( sQ22_spl
<=> neq(nil,nil) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f614,definition,
( sQ23_spl
<=> segmentP(sk3,nil) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f615,plain,
( ~ sQ23_spl
| segmentP(sk3,nil) ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,plain,
( ~ sQ19_spl
| ~ sQ23_spl
| ~ sQ22_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f609,f508,f611,f614,f590]) ).
fof(f625,plain,
! [X0,X1,X2] :
( app(X0,X2) = X1
| ~ ssList(app(X0,X2))
| ~ ssList(X1)
| ~ frontsegP(X1,app(X0,X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f349,f339]) ).
fof(f626,plain,
! [X0,X1,X2] :
( app(X0,X2) = X1
| ~ ssList(app(X0,X2))
| ~ frontsegP(X1,app(X0,X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f625]) ).
fof(f627,plain,
( sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f592,f431]) ).
fof(f628,plain,
sQ19_spl,
inference(contradiction_clause,[status(thm)],[f627]) ).
fof(f635,plain,
! [X0] :
( ~ sQ12_spl
| segmentP(X0,sk3)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ segmentP(X0,sk3) ),
inference(resolution,[status(thm)],[f372,f535]) ).
fof(f636,plain,
! [X0,X1] :
( ~ ssList(X1)
| segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ segmentP(X0,X1) ),
inference(resolution,[status(thm)],[f372,f253]) ).
fof(f638,definition,
! [X0] :
( sQ26_spl
<=> ( segmentP(X0,sk3)
| ~ ssList(X0)
| ~ segmentP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f641,plain,
( ~ sQ12_spl
| ~ sQ10_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f635,f638,f528,f534]) ).
fof(f642,definition,
! [X0,X1] :
( sQ27_spl
<=> ( ~ ssList(X1)
| segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f645,plain,
( ~ sQ8_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f636,f642,f508]) ).
fof(f648,plain,
! [X0,X1] :
( nil = X1
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ frontsegP(nil,X0) ),
inference(resolution,[status(thm)],[f376,f282]) ).
fof(f649,plain,
! [X0,X1,X2] :
( X0 = X2
| ~ ssList(X0)
| ~ ssList(X2)
| ~ frontsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f376,f339]) ).
fof(f654,definition,
! [X0,X1] :
( sQ29_spl
<=> ( nil = X1
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ frontsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f655,plain,
! [X0,X1] :
( ~ sQ29_spl
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ frontsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f654]) ).
fof(f657,plain,
( ~ sQ8_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f648,f654,f508]) ).
fof(f658,plain,
! [X0,X1,X2] :
( X0 = X2
| ~ frontsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f649]) ).
fof(f659,plain,
! [X0,X1] :
( ~ sQ29_spl
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ frontsegP(nil,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f655]) ).
fof(f675,plain,
! [X0,X1,X2,X3,X4] :
( segmentP(X4,X1)
| ~ ssList(X4)
| ~ ssList(app(app(X3,X0),X2))
| ~ ssList(X1)
| ~ segmentP(X4,app(app(X3,X0),X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(X0,X1) ),
inference(resolution,[status(thm)],[f402,f372]) ).
fof(f676,plain,
! [X0,X1,X2,X3] :
( app(app(X3,X0),X2) = X1
| ~ ssList(app(app(X3,X0),X2))
| ~ ssList(X1)
| ~ segmentP(X1,app(app(X3,X0),X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(X0,X1) ),
inference(resolution,[status(thm)],[f402,f337]) ).
fof(f677,plain,
! [X0,X1,X2,X3,X4] :
( segmentP(X4,X1)
| ~ ssList(X4)
| ~ ssList(app(app(X3,X0),X2))
| ~ segmentP(X4,app(app(X3,X0),X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f675]) ).
fof(f678,plain,
! [X0,X1,X2,X3] :
( app(app(X3,X0),X2) = X1
| ~ ssList(app(app(X3,X0),X2))
| ~ segmentP(X1,app(app(X3,X0),X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f676]) ).
fof(f684,definition,
( sQ31_spl
<=> frontsegP(sk3,nil) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f688,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssList(cons(X3,X1))
| ~ ssList(X4)
| ~ ssList(cons(X2,X0))
| ~ frontsegP(X4,cons(X2,X0))
| ~ frontsegP(cons(X3,X1),X4)
| frontsegP(X1,X0)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f406,f376]) ).
fof(f691,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssList(cons(X3,X1))
| ~ ssList(X4)
| ~ ssList(cons(X2,X0))
| ~ frontsegP(X4,cons(X2,X0))
| ~ frontsegP(cons(X3,X1),X4)
| X3 = X2
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f410,f376]) ).
fof(f693,plain,
! [X0] :
( ~ sQ23_spl
| segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ segmentP(X0,sk3) ),
inference(resolution,[status(thm)],[f615,f372]) ).
fof(f695,definition,
! [X0] :
( sQ32_spl
<=> ( segmentP(X0,nil)
| ~ ssList(X0)
| ~ segmentP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f698,plain,
( ~ sQ23_spl
| ~ sQ10_spl
| ~ sQ8_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f693,f695,f508,f528,f614]) ).
fof(f741,plain,
! [X0,X1,X2,X3] :
( ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ frontsegP(X1,X3)
| X0 = X3
| ~ frontsegP(X3,X0)
| ~ ssList(X0)
| ~ ssList(app(X1,X2))
| ~ ssList(X3)
| ~ frontsegP(X0,app(X1,X2)) ),
inference(resolution,[status(thm)],[f658,f349]) ).
fof(f743,plain,
! [X0,X1] :
( ~ ssList(X1)
| X0 = nil
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f658,f257]) ).
fof(f745,plain,
! [X0,X1,X2,X3] :
( ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ frontsegP(X3,X2)
| ~ frontsegP(X1,X3)
| X0 = X2
| ~ frontsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f658,f376]) ).
fof(f750,plain,
! [X0,X1,X2,X3] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X3)
| ~ frontsegP(X2,X0)
| X0 = app(X2,X3)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X2,X3))
| ~ frontsegP(X1,app(X2,X3))
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f658,f349]) ).
fof(f752,plain,
! [X0,X1,X2,X3] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ frontsegP(X3,X0)
| ~ frontsegP(X2,X3)
| X0 = X2
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f658,f376]) ).
fof(f758,plain,
! [X0,X1,X2,X3] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X3)
| X0 = X3
| ~ frontsegP(X3,X0)
| ~ ssList(X0)
| ~ ssList(app(X1,X2))
| ~ ssList(X3)
| ~ frontsegP(X0,app(X1,X2)) ),
inference(duplicate_literals_removal,[status(thm)],[f741]) ).
fof(f759,definition,
( sQ39_spl
<=> frontsegP(nil,nil) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f763,definition,
! [X0,X1] :
( sQ40_spl
<=> ( ~ ssList(X1)
| X0 = nil
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f766,plain,
( ~ sQ8_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f743,f763,f508]) ).
fof(f767,plain,
! [X0,X1,X2,X3] :
( ~ ssList(X3)
| ~ frontsegP(X3,X2)
| ~ frontsegP(X1,X3)
| X0 = X2
| ~ frontsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f745]) ).
fof(f770,plain,
! [X0,X1,X2,X3] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ frontsegP(X2,X0)
| X0 = app(X2,X3)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X2,X3))
| ~ frontsegP(X1,app(X2,X3))
| ~ frontsegP(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f750]) ).
fof(f772,plain,
! [X0,X1,X2,X3] :
( ~ ssList(X3)
| ~ frontsegP(X3,X0)
| ~ frontsegP(X2,X3)
| X0 = X2
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f752]) ).
fof(f807,plain,
! [X0,X1] :
( ~ ssList(X1)
| frontsegP(X0,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f376,f257]) ).
fof(f813,definition,
! [X0,X1] :
( sQ46_spl
<=> ( ~ ssList(X1)
| frontsegP(X0,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f816,plain,
( ~ sQ8_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f807,f813,f508]) ).
fof(f828,plain,
! [X0] :
( ~ sQ29_spl
| ~ ssList(nil)
| nil = X0
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(resolution,[status(thm)],[f659,f257]) ).
fof(f830,definition,
! [X0] :
( sQ47_spl
<=> ( nil = X0
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f833,plain,
( ~ sQ29_spl
| ~ sQ8_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f828,f830,f508,f654]) ).
fof(f838,plain,
! [X0,X1,X2,X3] :
( frontsegP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(X0,X2))
| ~ ssList(X1)
| ~ frontsegP(X3,app(X0,X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f349,f376]) ).
fof(f848,plain,
! [X0,X1,X2,X3] :
( frontsegP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(X0,X2))
| ~ frontsegP(X3,app(X0,X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f838]) ).
fof(f855,plain,
app(sk4,nil) = sk4,
inference(resolution,[status(thm)],[f271,f431]) ).
fof(f856,plain,
! [X0] : app(skaf51(X0),nil) = skaf51(X0),
inference(resolution,[status(thm)],[f271,f241]) ).
fof(f857,plain,
! [X0] : app(skaf52(X0),nil) = skaf52(X0),
inference(resolution,[status(thm)],[f271,f240]) ).
fof(f858,plain,
! [X0] : app(skaf53(X0),nil) = skaf53(X0),
inference(resolution,[status(thm)],[f271,f239]) ).
fof(f859,plain,
! [X0] : app(skaf56(X0),nil) = skaf56(X0),
inference(resolution,[status(thm)],[f271,f236]) ).
fof(f860,plain,
! [X0] : app(skaf57(X0),nil) = skaf57(X0),
inference(resolution,[status(thm)],[f271,f235]) ).
fof(f861,plain,
! [X0] : app(skaf58(X0),nil) = skaf58(X0),
inference(resolution,[status(thm)],[f271,f234]) ).
fof(f862,plain,
! [X0] : app(skaf61(X0),nil) = skaf61(X0),
inference(resolution,[status(thm)],[f271,f231]) ).
fof(f863,plain,
! [X0] : app(skaf62(X0),nil) = skaf62(X0),
inference(resolution,[status(thm)],[f271,f230]) ).
fof(f864,plain,
! [X0] : app(skaf63(X0),nil) = skaf63(X0),
inference(resolution,[status(thm)],[f271,f229]) ).
fof(f865,plain,
! [X0] : app(skaf66(X0),nil) = skaf66(X0),
inference(resolution,[status(thm)],[f271,f226]) ).
fof(f866,plain,
! [X0] : app(skaf67(X0),nil) = skaf67(X0),
inference(resolution,[status(thm)],[f271,f225]) ).
fof(f867,plain,
! [X0] : app(skaf68(X0),nil) = skaf68(X0),
inference(resolution,[status(thm)],[f271,f224]) ).
fof(f868,plain,
! [X0] : app(skaf71(X0),nil) = skaf71(X0),
inference(resolution,[status(thm)],[f271,f221]) ).
fof(f869,plain,
app(sk3,nil) = sk3,
inference(resolution,[status(thm)],[f271,f430]) ).
fof(f870,plain,
! [X0] : app(skaf72(X0),nil) = skaf72(X0),
inference(resolution,[status(thm)],[f271,f220]) ).
fof(f871,plain,
! [X0] : app(skaf73(X0),nil) = skaf73(X0),
inference(resolution,[status(thm)],[f271,f219]) ).
fof(f872,plain,
! [X0] : app(skaf75(X0),nil) = skaf75(X0),
inference(resolution,[status(thm)],[f271,f217]) ).
fof(f873,plain,
! [X0] : app(skaf76(X0),nil) = skaf76(X0),
inference(resolution,[status(thm)],[f271,f216]) ).
fof(f874,plain,
! [X0] : app(skaf77(X0),nil) = skaf77(X0),
inference(resolution,[status(thm)],[f271,f215]) ).
fof(f875,plain,
! [X0] : app(skaf80(X0),nil) = skaf80(X0),
inference(resolution,[status(thm)],[f271,f212]) ).
fof(f878,plain,
app(nil,nil) = nil,
inference(resolution,[status(thm)],[f271,f205]) ).
fof(f879,plain,
( frontsegP(app(sk4,nil),sk4)
| ~ ssList(sk4)
| ~ ssList(sk4)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f855,f485]) ).
fof(f880,plain,
! [X0] :
( frontsegP(sk4,X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ frontsegP(sk4,X0) ),
inference(paramodulation,[status(thm)],[f855,f349]) ).
fof(f881,plain,
! [X0] :
( segmentP(app(app(sk4,nil),X0),nil)
| ~ ssList(app(sk4,X0))
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f855,f488]) ).
fof(f882,plain,
! [X0,X1] :
( segmentP(app(sk4,X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f855,f402]) ).
fof(f883,definition,
( sQ50_spl
<=> frontsegP(app(sk4,nil),sk4) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f884,plain,
( ~ sQ50_spl
| frontsegP(app(sk4,nil),sk4) ),
inference(component_clause,[status(thm)],[f883]) ).
fof(f886,plain,
( sQ50_spl
| ~ sQ19_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f879,f508,f590,f883]) ).
fof(f887,definition,
! [X0] :
( sQ51_spl
<=> ( frontsegP(sk4,X0)
| ~ ssList(X0)
| ~ frontsegP(sk4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f890,plain,
( ~ sQ19_spl
| ~ sQ8_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f880,f887,f508,f590]) ).
fof(f891,definition,
! [X0] :
( sQ52_spl
<=> ( segmentP(app(app(sk4,nil),X0),nil)
| ~ ssList(app(sk4,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f894,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f881,f891,f590,f508]) ).
fof(f895,definition,
! [X0,X1] :
( sQ53_spl
<=> ( segmentP(app(sk4,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f896,plain,
! [X0,X1] :
( ~ sQ53_spl
| segmentP(app(sk4,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(component_clause,[status(thm)],[f895]) ).
fof(f898,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f882,f895,f590,f508]) ).
fof(f899,plain,
( ~ sQ50_spl
| frontsegP(sk4,sk4) ),
inference(forward_demodulation,[status(thm)],[f855,f884]) ).
fof(f903,plain,
( ~ sQ50_spl
| sk4 = sk4
| ~ ssList(sk4)
| ~ ssList(sk4)
| ~ frontsegP(sk4,sk4) ),
inference(resolution,[status(thm)],[f899,f339]) ).
fof(f904,plain,
! [X0] :
( ~ sQ50_spl
| frontsegP(X0,sk4)
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(sk4)
| ~ frontsegP(X0,sk4) ),
inference(resolution,[status(thm)],[f899,f376]) ).
fof(f907,definition,
( sQ54_spl
<=> frontsegP(sk4,sk4) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f909,plain,
( sQ54_spl
| ~ frontsegP(sk4,sk4) ),
inference(component_clause,[status(thm)],[f907]) ).
fof(f910,definition,
( sQ55_spl
<=> sk4 = sk4 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f913,plain,
( ~ sQ50_spl
| sQ55_spl
| ~ sQ19_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f903,f907,f590,f910,f883]) ).
fof(f914,definition,
! [X0] :
( sQ56_spl
<=> ( frontsegP(X0,sk4)
| ~ ssList(X0)
| ~ frontsegP(X0,sk4) ) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f917,plain,
( ~ sQ50_spl
| ~ sQ19_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f904,f914,f590,f883]) ).
fof(f918,plain,
( sQ54_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f909,f899]) ).
fof(f919,plain,
( sQ54_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f918]) ).
fof(f920,plain,
( frontsegP(app(sk3,nil),sk3)
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f869,f485]) ).
fof(f921,plain,
! [X0] :
( frontsegP(sk3,X0)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ frontsegP(sk3,X0) ),
inference(paramodulation,[status(thm)],[f869,f349]) ).
fof(f922,plain,
! [X0] :
( segmentP(app(app(sk3,nil),X0),nil)
| ~ ssList(app(sk3,X0))
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f869,f488]) ).
fof(f923,plain,
! [X0,X1] :
( segmentP(app(sk3,X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f869,f402]) ).
fof(f924,definition,
( sQ57_spl
<=> frontsegP(app(sk3,nil),sk3) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f925,plain,
( ~ sQ57_spl
| frontsegP(app(sk3,nil),sk3) ),
inference(component_clause,[status(thm)],[f924]) ).
fof(f927,plain,
( sQ57_spl
| ~ sQ10_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f920,f508,f528,f924]) ).
fof(f928,definition,
! [X0] :
( sQ58_spl
<=> ( frontsegP(sk3,X0)
| ~ ssList(X0)
| ~ frontsegP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f931,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f921,f928,f508,f528]) ).
fof(f932,definition,
! [X0] :
( sQ59_spl
<=> ( segmentP(app(app(sk3,nil),X0),nil)
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f935,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f922,f932,f528,f508]) ).
fof(f936,definition,
! [X0,X1] :
( sQ60_spl
<=> ( segmentP(app(sk3,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f937,plain,
! [X0,X1] :
( ~ sQ60_spl
| segmentP(app(sk3,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(component_clause,[status(thm)],[f936]) ).
fof(f939,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f923,f936,f528,f508]) ).
fof(f940,plain,
( ~ sQ57_spl
| frontsegP(sk3,sk3) ),
inference(forward_demodulation,[status(thm)],[f869,f925]) ).
fof(f951,plain,
( ~ sQ57_spl
| sk3 = sk3
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ frontsegP(sk3,sk3) ),
inference(resolution,[status(thm)],[f940,f339]) ).
fof(f952,plain,
! [X0] :
( ~ sQ57_spl
| frontsegP(X0,sk3)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ frontsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f940,f376]) ).
fof(f954,definition,
( sQ62_spl
<=> frontsegP(sk3,sk3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f957,plain,
( ~ sQ57_spl
| sQ16_spl
| ~ sQ10_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f951,f954,f528,f575,f924]) ).
fof(f958,definition,
! [X0] :
( sQ63_spl
<=> ( frontsegP(X0,sk3)
| ~ ssList(X0)
| ~ frontsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f961,plain,
( ~ sQ57_spl
| ~ sQ10_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f952,f958,f528,f924]) ).
fof(f963,plain,
( frontsegP(app(nil,nil),nil)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f878,f485]) ).
fof(f964,plain,
! [X0] :
( frontsegP(nil,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ frontsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f878,f349]) ).
fof(f965,plain,
! [X0] :
( segmentP(app(app(nil,nil),X0),nil)
| ~ ssList(app(nil,X0))
| ~ ssList(nil)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f878,f488]) ).
fof(f966,plain,
! [X0,X1] :
( segmentP(app(nil,X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f878,f402]) ).
fof(f971,definition,
( sQ65_spl
<=> frontsegP(app(nil,nil),nil) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f972,plain,
( ~ sQ65_spl
| frontsegP(app(nil,nil),nil) ),
inference(component_clause,[status(thm)],[f971]) ).
fof(f974,plain,
( sQ65_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f963,f508,f971]) ).
fof(f975,definition,
! [X0] :
( sQ66_spl
<=> ( frontsegP(nil,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f978,plain,
( ~ sQ8_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f964,f975,f508]) ).
fof(f979,definition,
! [X0] :
( sQ67_spl
<=> ( segmentP(app(app(nil,nil),X0),nil)
| ~ ssList(app(nil,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f982,plain,
( ~ sQ8_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f965,f979,f508]) ).
fof(f983,definition,
! [X0,X1] :
( sQ68_spl
<=> ( segmentP(app(nil,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f986,plain,
( ~ sQ8_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f966,f983,f508]) ).
fof(f987,plain,
( ~ sQ65_spl
| frontsegP(nil,nil) ),
inference(forward_demodulation,[status(thm)],[f878,f972]) ).
fof(f993,plain,
! [X0,X1,X2] :
( segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(nil,X1))
| ~ segmentP(X2,app(app(nil,nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f878,f677]) ).
fof(f994,plain,
! [X0,X1,X2] :
( segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(sk3,X1))
| ~ segmentP(X2,app(app(sk3,nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f869,f677]) ).
fof(f995,plain,
! [X0,X1,X2] :
( segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(sk4,X1))
| ~ segmentP(X2,app(app(sk4,nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f855,f677]) ).
fof(f996,definition,
! [X0,X1,X2] :
( sQ69_spl
<=> ( segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(nil,X1))
| ~ segmentP(X2,app(app(nil,nil),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f999,plain,
( ~ sQ8_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f993,f996,f508]) ).
fof(f1000,definition,
! [X0,X1,X2] :
( sQ70_spl
<=> ( segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(sk3,X1))
| ~ segmentP(X2,app(app(sk3,nil),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f1001,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(sk3,X1))
| ~ segmentP(X2,app(app(sk3,nil),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(component_clause,[status(thm)],[f1000]) ).
fof(f1003,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f994,f1000,f528,f508]) ).
fof(f1004,definition,
! [X0,X1,X2] :
( sQ71_spl
<=> ( segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(sk4,X1))
| ~ segmentP(X2,app(app(sk4,nil),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f1005,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(sk4,X1))
| ~ segmentP(X2,app(app(sk4,nil),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(component_clause,[status(thm)],[f1004]) ).
fof(f1007,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f995,f1004,f590,f508]) ).
fof(f1009,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(sk3,X1))
| ~ segmentP(X2,app(sk3,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_demodulation,[status(thm)],[f869,f1001]) ).
fof(f1010,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(sk4,X1))
| ~ segmentP(X2,app(sk4,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_demodulation,[status(thm)],[f855,f1005]) ).
fof(f1018,definition,
! [X0] :
( sQ72_spl
<=> ( frontsegP(X0,nil)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1028,plain,
app(nil,sk4) = sk4,
inference(resolution,[status(thm)],[f272,f431]) ).
fof(f1042,plain,
app(nil,sk3) = sk3,
inference(resolution,[status(thm)],[f272,f430]) ).
fof(f1052,plain,
! [X0,X1,X2] :
( segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(sk4,X1))
| ~ segmentP(X2,app(app(nil,sk4),X1))
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ segmentP(sk4,X0) ),
inference(paramodulation,[status(thm)],[f1028,f677]) ).
fof(f1054,plain,
( frontsegP(app(nil,sk4),nil)
| ~ ssList(sk4)
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(paramodulation,[status(thm)],[f1028,f485]) ).
fof(f1055,plain,
! [X0] :
( frontsegP(sk4,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ frontsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1028,f349]) ).
fof(f1056,plain,
! [X0] :
( segmentP(app(app(nil,sk4),X0),sk4)
| ~ ssList(app(sk4,X0))
| ~ ssList(sk4)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1028,f488]) ).
fof(f1057,plain,
! [X0,X1] :
( segmentP(app(sk4,X1),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ segmentP(sk4,X0) ),
inference(paramodulation,[status(thm)],[f1028,f402]) ).
fof(f1058,definition,
! [X0,X1,X2] :
( sQ73_spl
<=> ( segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(sk4,X1))
| ~ segmentP(X2,app(app(nil,sk4),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f1059,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(sk4,X1))
| ~ segmentP(X2,app(app(nil,sk4),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk4,X0) ),
inference(component_clause,[status(thm)],[f1058]) ).
fof(f1061,plain,
( ~ sQ19_spl
| ~ sQ8_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f1052,f1058,f508,f590]) ).
fof(f1066,definition,
( sQ75_spl
<=> frontsegP(app(nil,sk4),nil) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1067,plain,
( ~ sQ75_spl
| frontsegP(app(nil,sk4),nil) ),
inference(component_clause,[status(thm)],[f1066]) ).
fof(f1069,plain,
( sQ75_spl
| ~ sQ8_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1054,f590,f508,f1066]) ).
fof(f1070,definition,
! [X0] :
( sQ76_spl
<=> ( frontsegP(sk4,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1071,plain,
! [X0] :
( ~ sQ76_spl
| frontsegP(sk4,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f1070]) ).
fof(f1073,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f1055,f1070,f590,f508]) ).
fof(f1074,definition,
! [X0] :
( sQ77_spl
<=> ( segmentP(app(app(nil,sk4),X0),sk4)
| ~ ssList(app(sk4,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f1075,plain,
! [X0] :
( ~ sQ77_spl
| segmentP(app(app(nil,sk4),X0),sk4)
| ~ ssList(app(sk4,X0))
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f1074]) ).
fof(f1077,plain,
( ~ sQ19_spl
| ~ sQ8_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f1056,f1074,f508,f590]) ).
fof(f1078,definition,
! [X0,X1] :
( sQ78_spl
<=> ( segmentP(app(sk4,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f1079,plain,
! [X0,X1] :
( ~ sQ78_spl
| segmentP(app(sk4,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk4,X0) ),
inference(component_clause,[status(thm)],[f1078]) ).
fof(f1081,plain,
( ~ sQ19_spl
| ~ sQ8_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f1057,f1078,f508,f590]) ).
fof(f1082,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(sk4,X1))
| ~ segmentP(X2,app(sk4,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk4,X0) ),
inference(forward_demodulation,[status(thm)],[f1028,f1059]) ).
fof(f1083,plain,
( ~ sQ75_spl
| frontsegP(sk4,nil) ),
inference(forward_demodulation,[status(thm)],[f1028,f1067]) ).
fof(f1084,plain,
! [X0] :
( ~ sQ77_spl
| segmentP(app(sk4,X0),sk4)
| ~ ssList(app(sk4,X0))
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f1028,f1075]) ).
fof(f1090,definition,
! [X0] :
( sQ79_spl
<=> ( frontsegP(X0,nil)
| ~ ssList(X0)
| ~ frontsegP(X0,sk4) ) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1094,plain,
! [X0,X1,X2] :
( segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(sk3,X1))
| ~ segmentP(X2,app(app(nil,sk3),X1))
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ segmentP(sk3,X0) ),
inference(paramodulation,[status(thm)],[f1042,f677]) ).
fof(f1096,plain,
( frontsegP(app(nil,sk3),nil)
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ ssList(sk3) ),
inference(paramodulation,[status(thm)],[f1042,f485]) ).
fof(f1097,plain,
! [X0] :
( frontsegP(sk3,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ frontsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1042,f349]) ).
fof(f1098,plain,
! [X0] :
( segmentP(app(app(nil,sk3),X0),sk3)
| ~ ssList(app(sk3,X0))
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1042,f488]) ).
fof(f1099,plain,
! [X0,X1] :
( segmentP(app(sk3,X1),X0)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ segmentP(sk3,X0) ),
inference(paramodulation,[status(thm)],[f1042,f402]) ).
fof(f1100,definition,
! [X0,X1,X2] :
( sQ80_spl
<=> ( segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(sk3,X1))
| ~ segmentP(X2,app(app(nil,sk3),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f1101,plain,
! [X0,X1,X2] :
( ~ sQ80_spl
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(sk3,X1))
| ~ segmentP(X2,app(app(nil,sk3),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk3,X0) ),
inference(component_clause,[status(thm)],[f1100]) ).
fof(f1103,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f1094,f1100,f508,f528]) ).
fof(f1108,definition,
( sQ82_spl
<=> frontsegP(app(nil,sk3),nil) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1109,plain,
( ~ sQ82_spl
| frontsegP(app(nil,sk3),nil) ),
inference(component_clause,[status(thm)],[f1108]) ).
fof(f1111,plain,
( sQ82_spl
| ~ sQ8_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1096,f528,f508,f1108]) ).
fof(f1112,definition,
! [X0] :
( sQ83_spl
<=> ( frontsegP(sk3,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1113,plain,
! [X0] :
( ~ sQ83_spl
| frontsegP(sk3,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f1112]) ).
fof(f1115,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f1097,f1112,f528,f508]) ).
fof(f1116,definition,
! [X0] :
( sQ84_spl
<=> ( segmentP(app(app(nil,sk3),X0),sk3)
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f1119,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f1098,f1116,f508,f528]) ).
fof(f1120,definition,
! [X0,X1] :
( sQ85_spl
<=> ( segmentP(app(sk3,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1121,plain,
! [X0,X1] :
( ~ sQ85_spl
| segmentP(app(sk3,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk3,X0) ),
inference(component_clause,[status(thm)],[f1120]) ).
fof(f1123,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f1099,f1120,f508,f528]) ).
fof(f1124,plain,
! [X0,X1,X2] :
( ~ sQ80_spl
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(sk3,X1))
| ~ segmentP(X2,app(sk3,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk3,X0) ),
inference(forward_demodulation,[status(thm)],[f1042,f1101]) ).
fof(f1125,plain,
( ~ sQ82_spl
| frontsegP(sk3,nil) ),
inference(forward_demodulation,[status(thm)],[f1042,f1109]) ).
fof(f1135,definition,
! [X0] :
( sQ87_spl
<=> ( frontsegP(X0,nil)
| ~ ssList(X0)
| ~ frontsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1139,plain,
! [X0,X1] :
( app(app(nil,sk3),X1) = X0
| ~ ssList(app(sk3,X1))
| ~ segmentP(X0,app(app(nil,sk3),X1))
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ segmentP(sk3,X0) ),
inference(paramodulation,[status(thm)],[f1042,f678]) ).
fof(f1140,plain,
! [X0,X1] :
( app(app(nil,sk4),X1) = X0
| ~ ssList(app(sk4,X1))
| ~ segmentP(X0,app(app(nil,sk4),X1))
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ segmentP(sk4,X0) ),
inference(paramodulation,[status(thm)],[f1028,f678]) ).
fof(f1141,plain,
! [X0,X1] :
( app(app(nil,nil),X1) = X0
| ~ ssList(app(nil,X1))
| ~ segmentP(X0,app(app(nil,nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f878,f678]) ).
fof(f1142,plain,
! [X0,X1] :
( app(app(sk3,nil),X1) = X0
| ~ ssList(app(sk3,X1))
| ~ segmentP(X0,app(app(sk3,nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f869,f678]) ).
fof(f1143,plain,
! [X0,X1] :
( app(app(sk4,nil),X1) = X0
| ~ ssList(app(sk4,X1))
| ~ segmentP(X0,app(app(sk4,nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f855,f678]) ).
fof(f1144,definition,
! [X0,X1] :
( sQ88_spl
<=> ( app(app(nil,sk3),X1) = X0
| ~ ssList(app(sk3,X1))
| ~ segmentP(X0,app(app(nil,sk3),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1147,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f1139,f1144,f508,f528]) ).
fof(f1148,definition,
! [X0,X1] :
( sQ89_spl
<=> ( app(app(nil,sk4),X1) = X0
| ~ ssList(app(sk4,X1))
| ~ segmentP(X0,app(app(nil,sk4),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1151,plain,
( ~ sQ19_spl
| ~ sQ8_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f1140,f1148,f508,f590]) ).
fof(f1152,definition,
! [X0,X1] :
( sQ90_spl
<=> ( app(app(nil,nil),X1) = X0
| ~ ssList(app(nil,X1))
| ~ segmentP(X0,app(app(nil,nil),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1155,plain,
( ~ sQ8_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f1141,f1152,f508]) ).
fof(f1156,definition,
! [X0,X1] :
( sQ91_spl
<=> ( app(app(sk3,nil),X1) = X0
| ~ ssList(app(sk3,X1))
| ~ segmentP(X0,app(app(sk3,nil),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1159,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f1142,f1156,f528,f508]) ).
fof(f1160,definition,
! [X0,X1] :
( sQ92_spl
<=> ( app(app(sk4,nil),X1) = X0
| ~ ssList(app(sk4,X1))
| ~ segmentP(X0,app(app(sk4,nil),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1163,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f1143,f1160,f590,f508]) ).
fof(f1174,plain,
! [X0,X1,X2] :
( app(app(skaf51(X2),nil),X1) = X0
| ~ ssList(app(skaf51(X2),X1))
| ~ segmentP(X0,app(app(skaf51(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf51(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f856,f678]) ).
fof(f1175,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf51(X2),X1))
| ~ segmentP(X3,app(app(skaf51(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf51(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f856,f677]) ).
fof(f1177,plain,
! [X0] :
( frontsegP(app(skaf51(X0),nil),skaf51(X0))
| ~ ssList(skaf51(X0))
| ~ ssList(skaf51(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f856,f485]) ).
fof(f1178,plain,
! [X0,X1] :
( frontsegP(skaf51(X0),X1)
| ~ ssList(skaf51(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf51(X0),X1) ),
inference(paramodulation,[status(thm)],[f856,f349]) ).
fof(f1179,plain,
! [X0,X1] :
( segmentP(app(app(skaf51(X1),nil),X0),nil)
| ~ ssList(app(skaf51(X1),X0))
| ~ ssList(nil)
| ~ ssList(skaf51(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f856,f488]) ).
fof(f1180,plain,
! [X0,X1,X2] :
( segmentP(app(skaf51(X2),X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf51(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f856,f402]) ).
fof(f1181,definition,
! [X0,X1,X2] :
( sQ93_spl
<=> ( app(app(skaf51(X2),nil),X1) = X0
| ~ ssList(app(skaf51(X2),X1))
| ~ segmentP(X0,app(app(skaf51(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf51(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1184,plain,
( ~ sQ8_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f1174,f1181,f508]) ).
fof(f1185,definition,
! [X0,X1,X2,X3] :
( sQ94_spl
<=> ( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf51(X2),X1))
| ~ segmentP(X3,app(app(skaf51(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf51(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1188,plain,
( ~ sQ8_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f1175,f1185,f508]) ).
fof(f1193,definition,
! [X0] :
( sQ96_spl
<=> ( frontsegP(app(skaf51(X0),nil),skaf51(X0))
| ~ ssList(skaf51(X0))
| ~ ssList(skaf51(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1196,plain,
( sQ96_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1177,f508,f1193]) ).
fof(f1197,definition,
! [X0,X1] :
( sQ97_spl
<=> ( frontsegP(skaf51(X0),X1)
| ~ ssList(skaf51(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf51(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1200,plain,
( ~ sQ8_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f1178,f1197,f508]) ).
fof(f1201,definition,
! [X0,X1] :
( sQ98_spl
<=> ( segmentP(app(app(skaf51(X1),nil),X0),nil)
| ~ ssList(app(skaf51(X1),X0))
| ~ ssList(skaf51(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1204,plain,
( ~ sQ8_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f1179,f1201,f508]) ).
fof(f1205,definition,
! [X0,X1,X2] :
( sQ99_spl
<=> ( segmentP(app(skaf51(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf51(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1208,plain,
( ~ sQ8_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f1180,f1205,f508]) ).
fof(f1220,plain,
! [X0,X1,X2] :
( app(app(skaf52(X2),nil),X1) = X0
| ~ ssList(app(skaf52(X2),X1))
| ~ segmentP(X0,app(app(skaf52(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf52(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f857,f678]) ).
fof(f1221,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf52(X2),X1))
| ~ segmentP(X3,app(app(skaf52(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf52(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f857,f677]) ).
fof(f1223,plain,
! [X0] :
( frontsegP(app(skaf52(X0),nil),skaf52(X0))
| ~ ssList(skaf52(X0))
| ~ ssList(skaf52(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f857,f485]) ).
fof(f1224,plain,
! [X0,X1] :
( frontsegP(skaf52(X0),X1)
| ~ ssList(skaf52(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf52(X0),X1) ),
inference(paramodulation,[status(thm)],[f857,f349]) ).
fof(f1225,plain,
! [X0,X1] :
( segmentP(app(app(skaf52(X1),nil),X0),nil)
| ~ ssList(app(skaf52(X1),X0))
| ~ ssList(nil)
| ~ ssList(skaf52(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f857,f488]) ).
fof(f1226,plain,
! [X0,X1,X2] :
( segmentP(app(skaf52(X2),X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf52(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f857,f402]) ).
fof(f1227,definition,
! [X0,X1,X2] :
( sQ100_spl
<=> ( app(app(skaf52(X2),nil),X1) = X0
| ~ ssList(app(skaf52(X2),X1))
| ~ segmentP(X0,app(app(skaf52(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf52(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1230,plain,
( ~ sQ8_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f1220,f1227,f508]) ).
fof(f1231,definition,
! [X0,X1,X2,X3] :
( sQ101_spl
<=> ( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf52(X2),X1))
| ~ segmentP(X3,app(app(skaf52(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf52(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1234,plain,
( ~ sQ8_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f1221,f1231,f508]) ).
fof(f1239,definition,
! [X0] :
( sQ103_spl
<=> ( frontsegP(app(skaf52(X0),nil),skaf52(X0))
| ~ ssList(skaf52(X0))
| ~ ssList(skaf52(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1242,plain,
( sQ103_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1223,f508,f1239]) ).
fof(f1243,definition,
! [X0,X1] :
( sQ104_spl
<=> ( frontsegP(skaf52(X0),X1)
| ~ ssList(skaf52(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf52(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1246,plain,
( ~ sQ8_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f1224,f1243,f508]) ).
fof(f1247,definition,
! [X0,X1] :
( sQ105_spl
<=> ( segmentP(app(app(skaf52(X1),nil),X0),nil)
| ~ ssList(app(skaf52(X1),X0))
| ~ ssList(skaf52(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1250,plain,
( ~ sQ8_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f1225,f1247,f508]) ).
fof(f1251,definition,
! [X0,X1,X2] :
( sQ106_spl
<=> ( segmentP(app(skaf52(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf52(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1254,plain,
( ~ sQ8_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f1226,f1251,f508]) ).
fof(f1271,plain,
( ~ sQ76_spl
| ~ ssList(nil)
| frontsegP(sk4,nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f1071,f257]) ).
fof(f1273,definition,
( sQ107_spl
<=> frontsegP(sk4,nil) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1277,plain,
( ~ sQ76_spl
| sQ107_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1271,f508,f1273,f1070]) ).
fof(f1279,plain,
! [X0] :
( ~ sQ53_spl
| ~ ssList(nil)
| segmentP(app(sk4,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f896,f253]) ).
fof(f1281,definition,
! [X0] :
( sQ108_spl
<=> ( segmentP(app(sk4,X0),nil)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1282,plain,
! [X0] :
( ~ sQ108_spl
| segmentP(app(sk4,X0),nil)
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f1281]) ).
fof(f1284,plain,
( ~ sQ53_spl
| ~ sQ8_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f1279,f1281,f508,f895]) ).
fof(f1286,plain,
! [X0,X1] :
( ~ sQ108_spl
| segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(app(sk4,X0))
| ~ ssList(nil)
| ~ segmentP(X1,app(sk4,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1282,f372]) ).
fof(f1287,plain,
! [X0] :
( ~ sQ108_spl
| app(sk4,X0) = nil
| ~ ssList(app(sk4,X0))
| ~ ssList(nil)
| ~ segmentP(nil,app(sk4,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1282,f337]) ).
fof(f1288,plain,
( ~ sQ108_spl
| segmentP(sk4,nil)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f855,f1282]) ).
fof(f1289,definition,
! [X0,X1] :
( sQ109_spl
<=> ( segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(app(sk4,X0))
| ~ segmentP(X1,app(sk4,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1292,plain,
( ~ sQ108_spl
| ~ sQ8_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1286,f1289,f508,f1281]) ).
fof(f1293,definition,
! [X0] :
( sQ110_spl
<=> ( app(sk4,X0) = nil
| ~ ssList(app(sk4,X0))
| ~ segmentP(nil,app(sk4,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1296,plain,
( ~ sQ108_spl
| ~ sQ8_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f1287,f1293,f508,f1281]) ).
fof(f1297,definition,
( sQ111_spl
<=> segmentP(sk4,nil) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1298,plain,
( ~ sQ111_spl
| segmentP(sk4,nil) ),
inference(component_clause,[status(thm)],[f1297]) ).
fof(f1300,plain,
( ~ sQ108_spl
| sQ111_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1288,f508,f1297,f1281]) ).
fof(f1303,plain,
! [X0] :
( ~ sQ111_spl
| segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(nil)
| ~ segmentP(X0,sk4) ),
inference(resolution,[status(thm)],[f1298,f372]) ).
fof(f1307,definition,
! [X0] :
( sQ112_spl
<=> ( segmentP(X0,nil)
| ~ ssList(X0)
| ~ segmentP(X0,sk4) ) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1310,plain,
( ~ sQ111_spl
| ~ sQ19_spl
| ~ sQ8_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f1303,f1307,f508,f590,f1297]) ).
fof(f1315,plain,
! [X0,X1,X2] :
( app(app(skaf53(X2),nil),X1) = X0
| ~ ssList(app(skaf53(X2),X1))
| ~ segmentP(X0,app(app(skaf53(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf53(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f858,f678]) ).
fof(f1316,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf53(X2),X1))
| ~ segmentP(X3,app(app(skaf53(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf53(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f858,f677]) ).
fof(f1318,plain,
! [X0] :
( frontsegP(app(skaf53(X0),nil),skaf53(X0))
| ~ ssList(skaf53(X0))
| ~ ssList(skaf53(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f858,f485]) ).
fof(f1319,plain,
! [X0,X1] :
( frontsegP(skaf53(X0),X1)
| ~ ssList(skaf53(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf53(X0),X1) ),
inference(paramodulation,[status(thm)],[f858,f349]) ).
fof(f1320,plain,
! [X0,X1] :
( segmentP(app(app(skaf53(X1),nil),X0),nil)
| ~ ssList(app(skaf53(X1),X0))
| ~ ssList(nil)
| ~ ssList(skaf53(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f858,f488]) ).
fof(f1321,plain,
! [X0,X1,X2] :
( segmentP(app(skaf53(X2),X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf53(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f858,f402]) ).
fof(f1322,definition,
! [X0,X1,X2] :
( sQ114_spl
<=> ( app(app(skaf53(X2),nil),X1) = X0
| ~ ssList(app(skaf53(X2),X1))
| ~ segmentP(X0,app(app(skaf53(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf53(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1325,plain,
( ~ sQ8_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f1315,f1322,f508]) ).
fof(f1326,definition,
! [X0,X1,X2,X3] :
( sQ115_spl
<=> ( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf53(X2),X1))
| ~ segmentP(X3,app(app(skaf53(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf53(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1329,plain,
( ~ sQ8_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f1316,f1326,f508]) ).
fof(f1334,definition,
! [X0] :
( sQ117_spl
<=> ( frontsegP(app(skaf53(X0),nil),skaf53(X0))
| ~ ssList(skaf53(X0))
| ~ ssList(skaf53(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1337,plain,
( sQ117_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1318,f508,f1334]) ).
fof(f1338,definition,
! [X0,X1] :
( sQ118_spl
<=> ( frontsegP(skaf53(X0),X1)
| ~ ssList(skaf53(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf53(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1341,plain,
( ~ sQ8_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f1319,f1338,f508]) ).
fof(f1342,definition,
! [X0,X1] :
( sQ119_spl
<=> ( segmentP(app(app(skaf53(X1),nil),X0),nil)
| ~ ssList(app(skaf53(X1),X0))
| ~ ssList(skaf53(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1345,plain,
( ~ sQ8_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f1320,f1342,f508]) ).
fof(f1346,definition,
! [X0,X1,X2] :
( sQ120_spl
<=> ( segmentP(app(skaf53(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf53(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1349,plain,
( ~ sQ8_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f1321,f1346,f508]) ).
fof(f1361,plain,
! [X0,X1,X2] :
( app(app(skaf56(X2),nil),X1) = X0
| ~ ssList(app(skaf56(X2),X1))
| ~ segmentP(X0,app(app(skaf56(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf56(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f859,f678]) ).
fof(f1362,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf56(X2),X1))
| ~ segmentP(X3,app(app(skaf56(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf56(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f859,f677]) ).
fof(f1364,plain,
! [X0] :
( frontsegP(app(skaf56(X0),nil),skaf56(X0))
| ~ ssList(skaf56(X0))
| ~ ssList(skaf56(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f859,f485]) ).
fof(f1365,plain,
! [X0,X1] :
( frontsegP(skaf56(X0),X1)
| ~ ssList(skaf56(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf56(X0),X1) ),
inference(paramodulation,[status(thm)],[f859,f349]) ).
fof(f1366,plain,
! [X0,X1] :
( segmentP(app(app(skaf56(X1),nil),X0),nil)
| ~ ssList(app(skaf56(X1),X0))
| ~ ssList(nil)
| ~ ssList(skaf56(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f859,f488]) ).
fof(f1367,plain,
! [X0,X1,X2] :
( segmentP(app(skaf56(X2),X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf56(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f859,f402]) ).
fof(f1368,definition,
! [X0,X1,X2] :
( sQ121_spl
<=> ( app(app(skaf56(X2),nil),X1) = X0
| ~ ssList(app(skaf56(X2),X1))
| ~ segmentP(X0,app(app(skaf56(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf56(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1371,plain,
( ~ sQ8_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f1361,f1368,f508]) ).
fof(f1372,definition,
! [X0,X1,X2,X3] :
( sQ122_spl
<=> ( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf56(X2),X1))
| ~ segmentP(X3,app(app(skaf56(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf56(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1375,plain,
( ~ sQ8_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f1362,f1372,f508]) ).
fof(f1380,definition,
! [X0] :
( sQ124_spl
<=> ( frontsegP(app(skaf56(X0),nil),skaf56(X0))
| ~ ssList(skaf56(X0))
| ~ ssList(skaf56(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1383,plain,
( sQ124_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1364,f508,f1380]) ).
fof(f1384,definition,
! [X0,X1] :
( sQ125_spl
<=> ( frontsegP(skaf56(X0),X1)
| ~ ssList(skaf56(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf56(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1387,plain,
( ~ sQ8_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f1365,f1384,f508]) ).
fof(f1388,definition,
! [X0,X1] :
( sQ126_spl
<=> ( segmentP(app(app(skaf56(X1),nil),X0),nil)
| ~ ssList(app(skaf56(X1),X0))
| ~ ssList(skaf56(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1391,plain,
( ~ sQ8_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f1366,f1388,f508]) ).
fof(f1392,definition,
! [X0,X1,X2] :
( sQ127_spl
<=> ( segmentP(app(skaf56(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf56(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1395,plain,
( ~ sQ8_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f1367,f1392,f508]) ).
fof(f1408,plain,
! [X0,X1] :
( frontsegP(app(X1,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f485,f283]) ).
fof(f1411,plain,
! [X0,X1,X2] :
( segmentP(app(app(X1,X2),X0),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X2))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f283,f488]) ).
fof(f1414,plain,
! [X0] :
( ssList(skaf56(X0))
| ~ ssList(skaf56(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f859,f283]) ).
fof(f1415,plain,
! [X0] :
( ssList(skaf53(X0))
| ~ ssList(skaf53(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f858,f283]) ).
fof(f1416,plain,
! [X0] :
( ssList(skaf52(X0))
| ~ ssList(skaf52(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f857,f283]) ).
fof(f1417,plain,
! [X0] :
( ssList(skaf51(X0))
| ~ ssList(skaf51(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f856,f283]) ).
fof(f1427,plain,
! [X0,X1,X2] :
( segmentP(app(app(X1,X2),X0),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X1,X2))
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1411]) ).
fof(f1428,plain,
! [X0,X1,X2] :
( segmentP(app(app(X1,X2),X0),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1427,f283]) ).
fof(f1429,definition,
! [X0] :
( sQ128_spl
<=> ( ssList(skaf56(X0))
| ~ ssList(skaf56(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1432,plain,
( sQ128_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1414,f508,f1429]) ).
fof(f1433,definition,
! [X0] :
( sQ129_spl
<=> ( ssList(skaf53(X0))
| ~ ssList(skaf53(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1436,plain,
( sQ129_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1415,f508,f1433]) ).
fof(f1437,definition,
! [X0] :
( sQ130_spl
<=> ( ssList(skaf52(X0))
| ~ ssList(skaf52(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1440,plain,
( sQ130_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1416,f508,f1437]) ).
fof(f1441,definition,
! [X0] :
( sQ131_spl
<=> ( ssList(skaf51(X0))
| ~ ssList(skaf51(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1444,plain,
( sQ131_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1417,f508,f1441]) ).
fof(f1451,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssList(cons(X3,X1))
| ~ ssList(X4)
| ~ frontsegP(X4,cons(X2,X0))
| ~ frontsegP(cons(X3,X1),X4)
| X3 = X2
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f691,f284]) ).
fof(f1452,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssList(cons(X3,X1))
| ~ ssList(X4)
| ~ frontsegP(X4,cons(X2,X0))
| ~ frontsegP(cons(X3,X1),X4)
| frontsegP(X1,X0)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f688,f284]) ).
fof(f1456,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssList(X4)
| ~ frontsegP(X4,cons(X2,X0))
| ~ frontsegP(cons(X3,X1),X4)
| X3 = X2
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1451,f284]) ).
fof(f1457,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssList(X4)
| ~ frontsegP(X4,cons(X2,X0))
| ~ frontsegP(cons(X3,X1),X4)
| frontsegP(X1,X0)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1452,f284]) ).
fof(f1459,plain,
( ~ sQ83_spl
| ~ ssList(nil)
| frontsegP(sk3,nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f1113,f257]) ).
fof(f1462,plain,
( ~ sQ83_spl
| sQ31_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1459,f508,f684,f1112]) ).
fof(f1464,plain,
! [X0] :
( ~ sQ60_spl
| ~ ssList(nil)
| segmentP(app(sk3,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f937,f253]) ).
fof(f1466,definition,
! [X0] :
( sQ132_spl
<=> ( segmentP(app(sk3,X0),nil)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1467,plain,
! [X0] :
( ~ sQ132_spl
| segmentP(app(sk3,X0),nil)
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f1466]) ).
fof(f1469,plain,
( ~ sQ60_spl
| ~ sQ8_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f1464,f1466,f508,f936]) ).
fof(f1471,plain,
! [X0,X1] :
( ~ sQ132_spl
| segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(app(sk3,X0))
| ~ ssList(nil)
| ~ segmentP(X1,app(sk3,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1467,f372]) ).
fof(f1472,plain,
! [X0] :
( ~ sQ132_spl
| app(sk3,X0) = nil
| ~ ssList(app(sk3,X0))
| ~ ssList(nil)
| ~ segmentP(nil,app(sk3,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1467,f337]) ).
fof(f1473,plain,
( ~ sQ132_spl
| segmentP(sk3,nil)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f869,f1467]) ).
fof(f1474,definition,
! [X0,X1] :
( sQ133_spl
<=> ( segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(app(sk3,X0))
| ~ segmentP(X1,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1477,plain,
( ~ sQ132_spl
| ~ sQ8_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f1471,f1474,f508,f1466]) ).
fof(f1478,definition,
! [X0] :
( sQ134_spl
<=> ( app(sk3,X0) = nil
| ~ ssList(app(sk3,X0))
| ~ segmentP(nil,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1481,plain,
( ~ sQ132_spl
| ~ sQ8_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f1472,f1478,f508,f1466]) ).
fof(f1482,plain,
( ~ sQ132_spl
| sQ23_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1473,f508,f614,f1466]) ).
fof(f1485,plain,
! [X0,X1] :
( app(X1,X0) = X1
| ~ ssList(app(X1,X0))
| ~ ssList(X1)
| ~ frontsegP(X1,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1408,f339]) ).
fof(f1486,plain,
! [X0,X1,X2] :
( frontsegP(X2,X1)
| ~ ssList(X2)
| ~ ssList(app(X1,X0))
| ~ ssList(X1)
| ~ frontsegP(X2,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1408,f376]) ).
fof(f1487,plain,
! [X0] :
( frontsegP(skaf56(X0),skaf56(X0))
| ~ ssList(skaf56(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f859,f1408]) ).
fof(f1488,plain,
! [X0] :
( frontsegP(skaf53(X0),skaf53(X0))
| ~ ssList(skaf53(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f858,f1408]) ).
fof(f1489,plain,
! [X0] :
( frontsegP(skaf52(X0),skaf52(X0))
| ~ ssList(skaf52(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f857,f1408]) ).
fof(f1490,plain,
! [X0] :
( frontsegP(skaf51(X0),skaf51(X0))
| ~ ssList(skaf51(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f856,f1408]) ).
fof(f1493,plain,
( frontsegP(nil,nil)
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f878,f1408]) ).
fof(f1494,plain,
( frontsegP(sk3,sk3)
| ~ ssList(sk3)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f869,f1408]) ).
fof(f1504,plain,
! [X0,X1] :
( app(X1,X0) = X1
| ~ ssList(app(X1,X0))
| ~ frontsegP(X1,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1485]) ).
fof(f1505,plain,
! [X0,X1] :
( app(X1,X0) = X1
| ~ frontsegP(X1,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1504,f283]) ).
fof(f1506,plain,
! [X0,X1,X2] :
( frontsegP(X2,X1)
| ~ ssList(X2)
| ~ ssList(app(X1,X0))
| ~ frontsegP(X2,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1486]) ).
fof(f1507,plain,
! [X0,X1,X2] :
( frontsegP(X2,X1)
| ~ ssList(X2)
| ~ frontsegP(X2,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1506,f283]) ).
fof(f1508,definition,
! [X0] :
( sQ137_spl
<=> ( frontsegP(skaf56(X0),skaf56(X0))
| ~ ssList(skaf56(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1511,plain,
( sQ137_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1487,f508,f1508]) ).
fof(f1512,definition,
! [X0] :
( sQ138_spl
<=> ( frontsegP(skaf53(X0),skaf53(X0))
| ~ ssList(skaf53(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1515,plain,
( sQ138_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1488,f508,f1512]) ).
fof(f1516,definition,
! [X0] :
( sQ139_spl
<=> ( frontsegP(skaf52(X0),skaf52(X0))
| ~ ssList(skaf52(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1519,plain,
( sQ139_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1489,f508,f1516]) ).
fof(f1520,definition,
! [X0] :
( sQ140_spl
<=> ( frontsegP(skaf51(X0),skaf51(X0))
| ~ ssList(skaf51(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1523,plain,
( sQ140_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1490,f508,f1520]) ).
fof(f1526,plain,
( sQ39_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1493,f508,f759]) ).
fof(f1527,plain,
( sQ62_spl
| ~ sQ10_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1494,f508,f528,f954]) ).
fof(f1529,plain,
! [X0,X1,X2] :
( app(X0,X2) = X1
| ~ frontsegP(X1,app(X0,X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f626,f283]) ).
fof(f1530,plain,
! [X0] :
( ~ sQ65_spl
| app(nil,X0) = nil
| ~ frontsegP(nil,app(nil,X0))
| ~ ssList(nil)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1529,f987]) ).
fof(f1531,plain,
! [X0] :
( ~ sQ82_spl
| app(sk3,X0) = nil
| ~ frontsegP(nil,app(sk3,X0))
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1529,f1125]) ).
fof(f1532,plain,
! [X0] :
( ~ sQ57_spl
| app(sk3,X0) = sk3
| ~ frontsegP(sk3,app(sk3,X0))
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1529,f940]) ).
fof(f1536,plain,
! [X0] :
( ~ sQ75_spl
| app(sk4,X0) = nil
| ~ frontsegP(nil,app(sk4,X0))
| ~ ssList(sk4)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1529,f1083]) ).
fof(f1537,plain,
! [X0] :
( ~ sQ50_spl
| app(sk4,X0) = sk4
| ~ frontsegP(sk4,app(sk4,X0))
| ~ ssList(sk4)
| ~ ssList(sk4)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1529,f899]) ).
fof(f1539,plain,
! [X0,X1] :
( ~ ssList(X1)
| app(X1,X0) = nil
| ~ frontsegP(nil,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1529,f257]) ).
fof(f1541,definition,
! [X0] :
( sQ141_spl
<=> ( app(nil,X0) = nil
| ~ frontsegP(nil,app(nil,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1544,plain,
( ~ sQ65_spl
| ~ sQ8_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f1530,f1541,f508,f971]) ).
fof(f1545,definition,
! [X0] :
( sQ142_spl
<=> ( app(sk3,X0) = nil
| ~ frontsegP(nil,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1548,plain,
( ~ sQ82_spl
| ~ sQ10_spl
| ~ sQ8_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f1531,f1545,f508,f528,f1108]) ).
fof(f1549,definition,
! [X0] :
( sQ143_spl
<=> ( app(sk3,X0) = sk3
| ~ frontsegP(sk3,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1552,plain,
( ~ sQ57_spl
| ~ sQ10_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f1532,f1549,f528,f924]) ).
fof(f1558,definition,
! [X0] :
( sQ144_spl
<=> ( app(sk4,X0) = nil
| ~ frontsegP(nil,app(sk4,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1561,plain,
( ~ sQ75_spl
| ~ sQ19_spl
| ~ sQ8_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1536,f1558,f508,f590,f1066]) ).
fof(f1562,definition,
! [X0] :
( sQ145_spl
<=> ( app(sk4,X0) = sk4
| ~ frontsegP(sk4,app(sk4,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1565,plain,
( ~ sQ50_spl
| ~ sQ19_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f1537,f1562,f590,f883]) ).
fof(f1570,definition,
! [X0,X1] :
( sQ147_spl
<=> ( ~ ssList(X1)
| app(X1,X0) = nil
| ~ frontsegP(nil,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1573,plain,
( ~ sQ8_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f1539,f1570,f508]) ).
fof(f1578,plain,
! [X0] :
( ~ sQ82_spl
| X0 = nil
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ frontsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f658,f1125]) ).
fof(f1580,plain,
! [X0] :
( ~ sQ57_spl
| X0 = sk3
| ~ frontsegP(sk3,X0)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ frontsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f658,f940]) ).
fof(f1586,plain,
! [X0] :
( ~ sQ75_spl
| X0 = nil
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(nil)
| ~ frontsegP(X0,sk4) ),
inference(resolution,[status(thm)],[f658,f1083]) ).
fof(f1588,plain,
! [X0] :
( ~ sQ50_spl
| X0 = sk4
| ~ frontsegP(sk4,X0)
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(sk4)
| ~ frontsegP(X0,sk4) ),
inference(resolution,[status(thm)],[f658,f899]) ).
fof(f1606,definition,
! [X0] :
( sQ148_spl
<=> ( X0 = nil
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1610,definition,
! [X0] :
( sQ149_spl
<=> ( X0 = nil
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ frontsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1613,plain,
( ~ sQ82_spl
| ~ sQ10_spl
| ~ sQ8_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f1578,f1610,f508,f528,f1108]) ).
fof(f1615,definition,
! [X0] :
( sQ150_spl
<=> ( X0 = sk3
| ~ frontsegP(sk3,X0)
| ~ ssList(X0)
| ~ frontsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1618,plain,
( ~ sQ57_spl
| ~ sQ10_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f1580,f1615,f528,f924]) ).
fof(f1624,definition,
! [X0] :
( sQ151_spl
<=> ( X0 = nil
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ frontsegP(X0,sk4) ) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1627,plain,
( ~ sQ75_spl
| ~ sQ19_spl
| ~ sQ8_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f1586,f1624,f508,f590,f1066]) ).
fof(f1629,definition,
! [X0] :
( sQ152_spl
<=> ( X0 = sk4
| ~ frontsegP(sk4,X0)
| ~ ssList(X0)
| ~ frontsegP(X0,sk4) ) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1630,plain,
! [X0] :
( ~ sQ152_spl
| X0 = sk4
| ~ frontsegP(sk4,X0)
| ~ ssList(X0)
| ~ frontsegP(X0,sk4) ),
inference(component_clause,[status(thm)],[f1629]) ).
fof(f1632,plain,
( ~ sQ50_spl
| ~ sQ19_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1588,f1629,f590,f883]) ).
fof(f1661,plain,
! [X0] :
( frontsegP(skaf57(X0),skaf57(X0))
| ~ ssList(skaf57(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f860,f1408]) ).
fof(f1662,plain,
! [X0] :
( ssList(skaf57(X0))
| ~ ssList(skaf57(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f860,f283]) ).
fof(f1663,plain,
! [X0,X1,X2] :
( app(app(skaf57(X2),nil),X1) = X0
| ~ ssList(app(skaf57(X2),X1))
| ~ segmentP(X0,app(app(skaf57(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf57(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f860,f678]) ).
fof(f1664,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf57(X2),X1))
| ~ segmentP(X3,app(app(skaf57(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf57(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f860,f677]) ).
fof(f1665,plain,
! [X0,X1] :
( frontsegP(skaf57(X0),X1)
| ~ ssList(skaf57(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf57(X0),X1) ),
inference(paramodulation,[status(thm)],[f860,f349]) ).
fof(f1666,plain,
! [X0,X1] :
( segmentP(app(app(skaf57(X1),nil),X0),nil)
| ~ ssList(app(skaf57(X1),X0))
| ~ ssList(nil)
| ~ ssList(skaf57(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f860,f488]) ).
fof(f1667,plain,
! [X0,X1,X2] :
( segmentP(app(skaf57(X2),X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf57(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f860,f402]) ).
fof(f1668,definition,
! [X0] :
( sQ157_spl
<=> ( frontsegP(skaf57(X0),skaf57(X0))
| ~ ssList(skaf57(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1671,plain,
( sQ157_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1661,f508,f1668]) ).
fof(f1672,definition,
! [X0] :
( sQ158_spl
<=> ( ssList(skaf57(X0))
| ~ ssList(skaf57(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1675,plain,
( sQ158_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1662,f508,f1672]) ).
fof(f1676,definition,
! [X0,X1,X2] :
( sQ159_spl
<=> ( app(app(skaf57(X2),nil),X1) = X0
| ~ ssList(app(skaf57(X2),X1))
| ~ segmentP(X0,app(app(skaf57(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf57(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1679,plain,
( ~ sQ8_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f1663,f1676,f508]) ).
fof(f1680,definition,
! [X0,X1,X2,X3] :
( sQ160_spl
<=> ( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf57(X2),X1))
| ~ segmentP(X3,app(app(skaf57(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf57(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1683,plain,
( ~ sQ8_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f1664,f1680,f508]) ).
fof(f1684,definition,
! [X0,X1] :
( sQ161_spl
<=> ( frontsegP(skaf57(X0),X1)
| ~ ssList(skaf57(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf57(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1687,plain,
( ~ sQ8_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f1665,f1684,f508]) ).
fof(f1688,definition,
! [X0,X1] :
( sQ162_spl
<=> ( segmentP(app(app(skaf57(X1),nil),X0),nil)
| ~ ssList(app(skaf57(X1),X0))
| ~ ssList(skaf57(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1691,plain,
( ~ sQ8_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f1666,f1688,f508]) ).
fof(f1692,definition,
! [X0,X1,X2] :
( sQ163_spl
<=> ( segmentP(app(skaf57(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf57(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1695,plain,
( ~ sQ8_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f1667,f1692,f508]) ).
fof(f1703,plain,
! [X0] :
( frontsegP(skaf58(X0),skaf58(X0))
| ~ ssList(skaf58(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f861,f1408]) ).
fof(f1704,plain,
! [X0] :
( ssList(skaf58(X0))
| ~ ssList(skaf58(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f861,f283]) ).
fof(f1705,plain,
! [X0,X1,X2] :
( app(app(skaf58(X2),nil),X1) = X0
| ~ ssList(app(skaf58(X2),X1))
| ~ segmentP(X0,app(app(skaf58(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf58(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f861,f678]) ).
fof(f1706,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf58(X2),X1))
| ~ segmentP(X3,app(app(skaf58(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf58(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f861,f677]) ).
fof(f1707,plain,
! [X0,X1] :
( frontsegP(skaf58(X0),X1)
| ~ ssList(skaf58(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf58(X0),X1) ),
inference(paramodulation,[status(thm)],[f861,f349]) ).
fof(f1708,plain,
! [X0,X1] :
( segmentP(app(app(skaf58(X1),nil),X0),nil)
| ~ ssList(app(skaf58(X1),X0))
| ~ ssList(nil)
| ~ ssList(skaf58(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f861,f488]) ).
fof(f1709,plain,
! [X0,X1,X2] :
( segmentP(app(skaf58(X2),X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf58(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f861,f402]) ).
fof(f1710,definition,
! [X0] :
( sQ164_spl
<=> ( frontsegP(skaf58(X0),skaf58(X0))
| ~ ssList(skaf58(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1713,plain,
( sQ164_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1703,f508,f1710]) ).
fof(f1714,definition,
! [X0] :
( sQ165_spl
<=> ( ssList(skaf58(X0))
| ~ ssList(skaf58(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1717,plain,
( sQ165_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1704,f508,f1714]) ).
fof(f1718,definition,
! [X0,X1,X2] :
( sQ166_spl
<=> ( app(app(skaf58(X2),nil),X1) = X0
| ~ ssList(app(skaf58(X2),X1))
| ~ segmentP(X0,app(app(skaf58(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf58(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1721,plain,
( ~ sQ8_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f1705,f1718,f508]) ).
fof(f1722,definition,
! [X0,X1,X2,X3] :
( sQ167_spl
<=> ( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf58(X2),X1))
| ~ segmentP(X3,app(app(skaf58(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf58(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1725,plain,
( ~ sQ8_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f1706,f1722,f508]) ).
fof(f1726,definition,
! [X0,X1] :
( sQ168_spl
<=> ( frontsegP(skaf58(X0),X1)
| ~ ssList(skaf58(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf58(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1729,plain,
( ~ sQ8_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f1707,f1726,f508]) ).
fof(f1730,definition,
! [X0,X1] :
( sQ169_spl
<=> ( segmentP(app(app(skaf58(X1),nil),X0),nil)
| ~ ssList(app(skaf58(X1),X0))
| ~ ssList(skaf58(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1733,plain,
( ~ sQ8_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f1708,f1730,f508]) ).
fof(f1734,definition,
! [X0,X1,X2] :
( sQ170_spl
<=> ( segmentP(app(skaf58(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf58(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1737,plain,
( ~ sQ8_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f1709,f1734,f508]) ).
fof(f1745,plain,
! [X0] :
( frontsegP(skaf61(X0),skaf61(X0))
| ~ ssList(skaf61(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f862,f1408]) ).
fof(f1746,plain,
! [X0] :
( ssList(skaf61(X0))
| ~ ssList(skaf61(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f862,f283]) ).
fof(f1747,plain,
! [X0,X1,X2] :
( app(app(skaf61(X2),nil),X1) = X0
| ~ ssList(app(skaf61(X2),X1))
| ~ segmentP(X0,app(app(skaf61(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf61(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f862,f678]) ).
fof(f1748,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf61(X2),X1))
| ~ segmentP(X3,app(app(skaf61(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf61(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f862,f677]) ).
fof(f1749,plain,
! [X0,X1] :
( frontsegP(skaf61(X0),X1)
| ~ ssList(skaf61(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf61(X0),X1) ),
inference(paramodulation,[status(thm)],[f862,f349]) ).
fof(f1750,plain,
! [X0,X1] :
( segmentP(app(app(skaf61(X1),nil),X0),nil)
| ~ ssList(app(skaf61(X1),X0))
| ~ ssList(nil)
| ~ ssList(skaf61(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f862,f488]) ).
fof(f1751,plain,
! [X0,X1,X2] :
( segmentP(app(skaf61(X2),X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf61(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f862,f402]) ).
fof(f1752,definition,
! [X0] :
( sQ171_spl
<=> ( frontsegP(skaf61(X0),skaf61(X0))
| ~ ssList(skaf61(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1755,plain,
( sQ171_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1745,f508,f1752]) ).
fof(f1756,definition,
! [X0] :
( sQ172_spl
<=> ( ssList(skaf61(X0))
| ~ ssList(skaf61(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1759,plain,
( sQ172_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1746,f508,f1756]) ).
fof(f1760,definition,
! [X0,X1,X2] :
( sQ173_spl
<=> ( app(app(skaf61(X2),nil),X1) = X0
| ~ ssList(app(skaf61(X2),X1))
| ~ segmentP(X0,app(app(skaf61(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf61(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1763,plain,
( ~ sQ8_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f1747,f1760,f508]) ).
fof(f1764,definition,
! [X0,X1,X2,X3] :
( sQ174_spl
<=> ( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf61(X2),X1))
| ~ segmentP(X3,app(app(skaf61(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf61(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1767,plain,
( ~ sQ8_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1748,f1764,f508]) ).
fof(f1768,definition,
! [X0,X1] :
( sQ175_spl
<=> ( frontsegP(skaf61(X0),X1)
| ~ ssList(skaf61(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf61(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1771,plain,
( ~ sQ8_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1749,f1768,f508]) ).
fof(f1772,definition,
! [X0,X1] :
( sQ176_spl
<=> ( segmentP(app(app(skaf61(X1),nil),X0),nil)
| ~ ssList(app(skaf61(X1),X0))
| ~ ssList(skaf61(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1775,plain,
( ~ sQ8_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f1750,f1772,f508]) ).
fof(f1776,definition,
! [X0,X1,X2] :
( sQ177_spl
<=> ( segmentP(app(skaf61(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf61(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1779,plain,
( ~ sQ8_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f1751,f1776,f508]) ).
fof(f1793,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| ~ ssList(sk3)
| ~ ssList(X1)
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ segmentP(X2,app(sk3,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(resolution,[status(thm)],[f1009,f283]) ).
fof(f1794,plain,
! [X0,X1] :
( ~ sQ70_spl
| segmentP(X1,X0)
| ~ ssList(X1)
| ~ ssList(sk3)
| ~ segmentP(X1,app(sk3,nil))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f869,f1009]) ).
fof(f1795,definition,
! [X0,X1,X2] :
( sQ178_spl
<=> ( ~ ssList(X1)
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ segmentP(X2,app(sk3,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1798,plain,
( ~ sQ70_spl
| ~ sQ10_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f1793,f1795,f528,f1000]) ).
fof(f1799,definition,
! [X0,X1] :
( sQ179_spl
<=> ( segmentP(X1,X0)
| ~ ssList(X1)
| ~ segmentP(X1,app(sk3,nil))
| ~ ssList(X0)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1802,plain,
( ~ sQ70_spl
| ~ sQ10_spl
| ~ sQ8_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f1794,f1799,f508,f528,f1000]) ).
fof(f1805,plain,
! [X0] :
( ~ sQ152_spl
| ~ ssList(sk4)
| ~ ssList(X0)
| app(sk4,X0) = sk4
| ~ frontsegP(sk4,app(sk4,X0))
| ~ ssList(app(sk4,X0)) ),
inference(resolution,[status(thm)],[f1630,f1408]) ).
fof(f1806,plain,
! [X0,X1] :
( ~ sQ152_spl
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ frontsegP(X0,sk4)
| app(X0,X1) = sk4
| ~ frontsegP(sk4,app(X0,X1))
| ~ ssList(app(X0,X1)) ),
inference(resolution,[status(thm)],[f1630,f349]) ).
fof(f1809,definition,
! [X0] :
( sQ180_spl
<=> ( ~ ssList(X0)
| app(sk4,X0) = sk4
| ~ frontsegP(sk4,app(sk4,X0))
| ~ ssList(app(sk4,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1812,plain,
( ~ sQ152_spl
| ~ sQ19_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1805,f1809,f590,f1629]) ).
fof(f1813,definition,
! [X0,X1] :
( sQ181_spl
<=> ( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,sk4)
| app(X0,X1) = sk4
| ~ frontsegP(sk4,app(X0,X1))
| ~ ssList(app(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1816,plain,
( ~ sQ152_spl
| ~ sQ19_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f1806,f1813,f590,f1629]) ).
fof(f1834,plain,
! [X0] :
( frontsegP(skaf62(X0),skaf62(X0))
| ~ ssList(skaf62(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f863,f1408]) ).
fof(f1835,plain,
! [X0] :
( ssList(skaf62(X0))
| ~ ssList(skaf62(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f863,f283]) ).
fof(f1836,plain,
! [X0,X1,X2] :
( app(app(skaf62(X2),nil),X1) = X0
| ~ ssList(app(skaf62(X2),X1))
| ~ segmentP(X0,app(app(skaf62(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf62(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f863,f678]) ).
fof(f1837,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf62(X2),X1))
| ~ segmentP(X3,app(app(skaf62(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf62(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f863,f677]) ).
fof(f1838,plain,
! [X0,X1] :
( frontsegP(skaf62(X0),X1)
| ~ ssList(skaf62(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf62(X0),X1) ),
inference(paramodulation,[status(thm)],[f863,f349]) ).
fof(f1839,plain,
! [X0,X1] :
( segmentP(app(app(skaf62(X1),nil),X0),nil)
| ~ ssList(app(skaf62(X1),X0))
| ~ ssList(nil)
| ~ ssList(skaf62(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f863,f488]) ).
fof(f1840,plain,
! [X0,X1,X2] :
( segmentP(app(skaf62(X2),X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf62(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f863,f402]) ).
fof(f1841,definition,
! [X0] :
( sQ182_spl
<=> ( frontsegP(skaf62(X0),skaf62(X0))
| ~ ssList(skaf62(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1844,plain,
( sQ182_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1834,f508,f1841]) ).
fof(f1845,definition,
! [X0] :
( sQ183_spl
<=> ( ssList(skaf62(X0))
| ~ ssList(skaf62(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1848,plain,
( sQ183_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1835,f508,f1845]) ).
fof(f1849,definition,
! [X0,X1,X2] :
( sQ184_spl
<=> ( app(app(skaf62(X2),nil),X1) = X0
| ~ ssList(app(skaf62(X2),X1))
| ~ segmentP(X0,app(app(skaf62(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf62(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1852,plain,
( ~ sQ8_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f1836,f1849,f508]) ).
fof(f1853,definition,
! [X0,X1,X2,X3] :
( sQ185_spl
<=> ( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf62(X2),X1))
| ~ segmentP(X3,app(app(skaf62(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf62(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1856,plain,
( ~ sQ8_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f1837,f1853,f508]) ).
fof(f1857,definition,
! [X0,X1] :
( sQ186_spl
<=> ( frontsegP(skaf62(X0),X1)
| ~ ssList(skaf62(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf62(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1860,plain,
( ~ sQ8_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1838,f1857,f508]) ).
fof(f1861,definition,
! [X0,X1] :
( sQ187_spl
<=> ( segmentP(app(app(skaf62(X1),nil),X0),nil)
| ~ ssList(app(skaf62(X1),X0))
| ~ ssList(skaf62(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1864,plain,
( ~ sQ8_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f1839,f1861,f508]) ).
fof(f1865,definition,
! [X0,X1,X2] :
( sQ188_spl
<=> ( segmentP(app(skaf62(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf62(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1868,plain,
( ~ sQ8_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f1840,f1865,f508]) ).
fof(f1876,plain,
! [X0] :
( frontsegP(skaf63(X0),skaf63(X0))
| ~ ssList(skaf63(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f864,f1408]) ).
fof(f1877,plain,
! [X0] :
( ssList(skaf63(X0))
| ~ ssList(skaf63(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f864,f283]) ).
fof(f1878,plain,
! [X0,X1,X2] :
( app(app(skaf63(X2),nil),X1) = X0
| ~ ssList(app(skaf63(X2),X1))
| ~ segmentP(X0,app(app(skaf63(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf63(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f864,f678]) ).
fof(f1879,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf63(X2),X1))
| ~ segmentP(X3,app(app(skaf63(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf63(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f864,f677]) ).
fof(f1880,plain,
! [X0,X1] :
( frontsegP(skaf63(X0),X1)
| ~ ssList(skaf63(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf63(X0),X1) ),
inference(paramodulation,[status(thm)],[f864,f349]) ).
fof(f1881,plain,
! [X0,X1] :
( segmentP(app(app(skaf63(X1),nil),X0),nil)
| ~ ssList(app(skaf63(X1),X0))
| ~ ssList(nil)
| ~ ssList(skaf63(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f864,f488]) ).
fof(f1882,plain,
! [X0,X1,X2] :
( segmentP(app(skaf63(X2),X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf63(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f864,f402]) ).
fof(f1883,definition,
! [X0] :
( sQ189_spl
<=> ( frontsegP(skaf63(X0),skaf63(X0))
| ~ ssList(skaf63(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1886,plain,
( sQ189_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1876,f508,f1883]) ).
fof(f1887,definition,
! [X0] :
( sQ190_spl
<=> ( ssList(skaf63(X0))
| ~ ssList(skaf63(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1890,plain,
( sQ190_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1877,f508,f1887]) ).
fof(f1891,definition,
! [X0,X1,X2] :
( sQ191_spl
<=> ( app(app(skaf63(X2),nil),X1) = X0
| ~ ssList(app(skaf63(X2),X1))
| ~ segmentP(X0,app(app(skaf63(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf63(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1894,plain,
( ~ sQ8_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f1878,f1891,f508]) ).
fof(f1895,definition,
! [X0,X1,X2,X3] :
( sQ192_spl
<=> ( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf63(X2),X1))
| ~ segmentP(X3,app(app(skaf63(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf63(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1898,plain,
( ~ sQ8_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f1879,f1895,f508]) ).
fof(f1899,definition,
! [X0,X1] :
( sQ193_spl
<=> ( frontsegP(skaf63(X0),X1)
| ~ ssList(skaf63(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf63(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1902,plain,
( ~ sQ8_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f1880,f1899,f508]) ).
fof(f1903,definition,
! [X0,X1] :
( sQ194_spl
<=> ( segmentP(app(app(skaf63(X1),nil),X0),nil)
| ~ ssList(app(skaf63(X1),X0))
| ~ ssList(skaf63(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1906,plain,
( ~ sQ8_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f1881,f1903,f508]) ).
fof(f1907,definition,
! [X0,X1,X2] :
( sQ195_spl
<=> ( segmentP(app(skaf63(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf63(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1910,plain,
( ~ sQ8_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f1882,f1907,f508]) ).
fof(f1918,plain,
! [X0] :
( frontsegP(skaf66(X0),skaf66(X0))
| ~ ssList(skaf66(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f865,f1408]) ).
fof(f1919,plain,
! [X0] :
( ssList(skaf66(X0))
| ~ ssList(skaf66(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f865,f283]) ).
fof(f1920,plain,
! [X0,X1,X2] :
( app(app(skaf66(X2),nil),X1) = X0
| ~ ssList(app(skaf66(X2),X1))
| ~ segmentP(X0,app(app(skaf66(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf66(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f865,f678]) ).
fof(f1921,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf66(X2),X1))
| ~ segmentP(X3,app(app(skaf66(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf66(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f865,f677]) ).
fof(f1922,plain,
! [X0,X1] :
( frontsegP(skaf66(X0),X1)
| ~ ssList(skaf66(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf66(X0),X1) ),
inference(paramodulation,[status(thm)],[f865,f349]) ).
fof(f1923,plain,
! [X0,X1] :
( segmentP(app(app(skaf66(X1),nil),X0),nil)
| ~ ssList(app(skaf66(X1),X0))
| ~ ssList(nil)
| ~ ssList(skaf66(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f865,f488]) ).
fof(f1924,plain,
! [X0,X1,X2] :
( segmentP(app(skaf66(X2),X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf66(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f865,f402]) ).
fof(f1925,definition,
! [X0] :
( sQ196_spl
<=> ( frontsegP(skaf66(X0),skaf66(X0))
| ~ ssList(skaf66(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1928,plain,
( sQ196_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1918,f508,f1925]) ).
fof(f1929,definition,
! [X0] :
( sQ197_spl
<=> ( ssList(skaf66(X0))
| ~ ssList(skaf66(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1932,plain,
( sQ197_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1919,f508,f1929]) ).
fof(f1933,definition,
! [X0,X1,X2] :
( sQ198_spl
<=> ( app(app(skaf66(X2),nil),X1) = X0
| ~ ssList(app(skaf66(X2),X1))
| ~ segmentP(X0,app(app(skaf66(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf66(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1936,plain,
( ~ sQ8_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f1920,f1933,f508]) ).
fof(f1937,definition,
! [X0,X1,X2,X3] :
( sQ199_spl
<=> ( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf66(X2),X1))
| ~ segmentP(X3,app(app(skaf66(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf66(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1940,plain,
( ~ sQ8_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f1921,f1937,f508]) ).
fof(f1941,definition,
! [X0,X1] :
( sQ200_spl
<=> ( frontsegP(skaf66(X0),X1)
| ~ ssList(skaf66(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf66(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1944,plain,
( ~ sQ8_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1922,f1941,f508]) ).
fof(f1945,definition,
! [X0,X1] :
( sQ201_spl
<=> ( segmentP(app(app(skaf66(X1),nil),X0),nil)
| ~ ssList(app(skaf66(X1),X0))
| ~ ssList(skaf66(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1948,plain,
( ~ sQ8_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f1923,f1945,f508]) ).
fof(f1949,definition,
! [X0,X1,X2] :
( sQ202_spl
<=> ( segmentP(app(skaf66(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf66(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1952,plain,
( ~ sQ8_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f1924,f1949,f508]) ).
fof(f1960,plain,
! [X0] :
( ~ sQ77_spl
| ~ ssList(sk4)
| ~ ssList(X0)
| segmentP(app(sk4,X0),sk4)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1084,f283]) ).
fof(f1961,plain,
( ~ sQ77_spl
| segmentP(app(sk4,nil),sk4)
| ~ ssList(sk4)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f855,f1084]) ).
fof(f1962,definition,
! [X0] :
( sQ203_spl
<=> ( ~ ssList(X0)
| segmentP(app(sk4,X0),sk4)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1963,plain,
! [X0] :
( ~ sQ203_spl
| ~ ssList(X0)
| segmentP(app(sk4,X0),sk4)
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f1962]) ).
fof(f1965,plain,
( ~ sQ77_spl
| ~ sQ19_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f1960,f1962,f590,f1074]) ).
fof(f1966,definition,
( sQ204_spl
<=> segmentP(app(sk4,nil),sk4) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1967,plain,
( ~ sQ204_spl
| segmentP(app(sk4,nil),sk4) ),
inference(component_clause,[status(thm)],[f1966]) ).
fof(f1969,plain,
( ~ sQ77_spl
| sQ204_spl
| ~ sQ19_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1961,f508,f590,f1966,f1074]) ).
fof(f1970,plain,
! [X0] :
( ~ sQ203_spl
| segmentP(app(sk4,X0),sk4)
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1963]) ).
fof(f1971,plain,
( ~ sQ204_spl
| segmentP(sk4,sk4) ),
inference(forward_demodulation,[status(thm)],[f855,f1967]) ).
fof(f1972,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| ~ ssList(sk4)
| ~ ssList(X1)
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ segmentP(X2,app(sk4,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(resolution,[status(thm)],[f1010,f283]) ).
fof(f1973,plain,
! [X0,X1] :
( ~ sQ71_spl
| segmentP(X1,X0)
| ~ ssList(X1)
| ~ ssList(sk4)
| ~ segmentP(X1,app(sk4,nil))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f855,f1010]) ).
fof(f1974,definition,
! [X0,X1,X2] :
( sQ205_spl
<=> ( ~ ssList(X1)
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ segmentP(X2,app(sk4,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1977,plain,
( ~ sQ71_spl
| ~ sQ19_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f1972,f1974,f590,f1004]) ).
fof(f1978,definition,
! [X0,X1] :
( sQ206_spl
<=> ( segmentP(X1,X0)
| ~ ssList(X1)
| ~ segmentP(X1,app(sk4,nil))
| ~ ssList(X0)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1981,plain,
( ~ sQ71_spl
| ~ sQ19_spl
| ~ sQ8_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f1973,f1978,f508,f590,f1004]) ).
fof(f1986,plain,
! [X0] :
( ~ sQ204_spl
| segmentP(X0,sk4)
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(sk4)
| ~ segmentP(X0,sk4) ),
inference(resolution,[status(thm)],[f1971,f372]) ).
fof(f1990,definition,
! [X0] :
( sQ207_spl
<=> ( segmentP(X0,sk4)
| ~ ssList(X0)
| ~ segmentP(X0,sk4) ) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1993,plain,
( ~ sQ204_spl
| ~ sQ19_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f1986,f1990,f590,f1966]) ).
fof(f1994,definition,
( sQ208_spl
<=> segmentP(sk4,sk4) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1998,plain,
! [X0,X1] :
( ~ sQ203_spl
| segmentP(X1,sk4)
| ~ ssList(X1)
| ~ ssList(app(sk4,X0))
| ~ ssList(sk4)
| ~ segmentP(X1,app(sk4,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1970,f372]) ).
fof(f1999,plain,
! [X0] :
( ~ sQ203_spl
| app(sk4,X0) = sk4
| ~ ssList(app(sk4,X0))
| ~ ssList(sk4)
| ~ segmentP(sk4,app(sk4,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1970,f337]) ).
fof(f2000,plain,
( ~ sQ203_spl
| segmentP(sk4,sk4)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f855,f1970]) ).
fof(f2001,definition,
! [X0,X1] :
( sQ209_spl
<=> ( segmentP(X1,sk4)
| ~ ssList(X1)
| ~ ssList(app(sk4,X0))
| ~ segmentP(X1,app(sk4,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f2004,plain,
( ~ sQ203_spl
| ~ sQ19_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f1998,f2001,f590,f1962]) ).
fof(f2005,definition,
! [X0] :
( sQ210_spl
<=> ( app(sk4,X0) = sk4
| ~ ssList(app(sk4,X0))
| ~ segmentP(sk4,app(sk4,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f2008,plain,
( ~ sQ203_spl
| ~ sQ19_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f1999,f2005,f590,f1962]) ).
fof(f2009,plain,
( ~ sQ203_spl
| sQ208_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2000,f508,f1994,f1962]) ).
fof(f2010,plain,
! [X0,X1,X2,X3] :
( frontsegP(X3,X1)
| ~ ssList(X3)
| ~ frontsegP(X3,app(X0,X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f848,f283]) ).
fof(f2011,plain,
! [X0,X1] :
( ~ sQ65_spl
| frontsegP(X1,nil)
| ~ ssList(X1)
| ~ frontsegP(X1,app(nil,X0))
| ~ ssList(nil)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2010,f987]) ).
fof(f2012,plain,
! [X0,X1] :
( ~ sQ82_spl
| frontsegP(X1,nil)
| ~ ssList(X1)
| ~ frontsegP(X1,app(sk3,X0))
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2010,f1125]) ).
fof(f2013,plain,
! [X0,X1] :
( ~ sQ57_spl
| frontsegP(X1,sk3)
| ~ ssList(X1)
| ~ frontsegP(X1,app(sk3,X0))
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2010,f940]) ).
fof(f2017,plain,
! [X0,X1] :
( ~ sQ75_spl
| frontsegP(X1,nil)
| ~ ssList(X1)
| ~ frontsegP(X1,app(sk4,X0))
| ~ ssList(sk4)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2010,f1083]) ).
fof(f2018,plain,
! [X0,X1] :
( ~ sQ50_spl
| frontsegP(X1,sk4)
| ~ ssList(X1)
| ~ frontsegP(X1,app(sk4,X0))
| ~ ssList(sk4)
| ~ ssList(sk4)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2010,f899]) ).
fof(f2020,plain,
! [X0,X1,X2] :
( ~ ssList(X1)
| frontsegP(X2,nil)
| ~ ssList(X2)
| ~ frontsegP(X2,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2010,f257]) ).
fof(f2022,definition,
! [X0,X1] :
( sQ211_spl
<=> ( frontsegP(X1,nil)
| ~ ssList(X1)
| ~ frontsegP(X1,app(nil,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f2025,plain,
( ~ sQ65_spl
| ~ sQ8_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f2011,f2022,f508,f971]) ).
fof(f2026,definition,
! [X0,X1] :
( sQ212_spl
<=> ( frontsegP(X1,nil)
| ~ ssList(X1)
| ~ frontsegP(X1,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f2029,plain,
( ~ sQ82_spl
| ~ sQ10_spl
| ~ sQ8_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f2012,f2026,f508,f528,f1108]) ).
fof(f2030,definition,
! [X0,X1] :
( sQ213_spl
<=> ( frontsegP(X1,sk3)
| ~ ssList(X1)
| ~ frontsegP(X1,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f2033,plain,
( ~ sQ57_spl
| ~ sQ10_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f2013,f2030,f528,f924]) ).
fof(f2039,definition,
! [X0,X1] :
( sQ214_spl
<=> ( frontsegP(X1,nil)
| ~ ssList(X1)
| ~ frontsegP(X1,app(sk4,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f2042,plain,
( ~ sQ75_spl
| ~ sQ19_spl
| ~ sQ8_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f2017,f2039,f508,f590,f1066]) ).
fof(f2043,definition,
! [X0,X1] :
( sQ215_spl
<=> ( frontsegP(X1,sk4)
| ~ ssList(X1)
| ~ frontsegP(X1,app(sk4,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f2046,plain,
( ~ sQ50_spl
| ~ sQ19_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f2018,f2043,f590,f883]) ).
fof(f2051,definition,
! [X0,X1,X2] :
( sQ217_spl
<=> ( ~ ssList(X1)
| frontsegP(X2,nil)
| ~ ssList(X2)
| ~ frontsegP(X2,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f2054,plain,
( ~ sQ8_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f2020,f2051,f508]) ).
fof(f2057,plain,
! [X0] :
( frontsegP(skaf67(X0),skaf67(X0))
| ~ ssList(skaf67(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f866,f1408]) ).
fof(f2058,plain,
! [X0] :
( ssList(skaf67(X0))
| ~ ssList(skaf67(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f866,f283]) ).
fof(f2059,plain,
! [X0,X1,X2] :
( app(app(skaf67(X2),nil),X1) = X0
| ~ ssList(app(skaf67(X2),X1))
| ~ segmentP(X0,app(app(skaf67(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf67(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f866,f678]) ).
fof(f2060,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf67(X2),X1))
| ~ segmentP(X3,app(app(skaf67(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf67(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f866,f677]) ).
fof(f2061,plain,
! [X0,X1] :
( frontsegP(skaf67(X0),X1)
| ~ ssList(skaf67(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf67(X0),X1) ),
inference(paramodulation,[status(thm)],[f866,f349]) ).
fof(f2062,plain,
! [X0,X1] :
( segmentP(app(app(skaf67(X1),nil),X0),nil)
| ~ ssList(app(skaf67(X1),X0))
| ~ ssList(nil)
| ~ ssList(skaf67(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f866,f488]) ).
fof(f2063,plain,
! [X0,X1,X2] :
( segmentP(app(skaf67(X2),X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf67(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f866,f402]) ).
fof(f2064,definition,
! [X0] :
( sQ218_spl
<=> ( frontsegP(skaf67(X0),skaf67(X0))
| ~ ssList(skaf67(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f2067,plain,
( sQ218_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2057,f508,f2064]) ).
fof(f2068,definition,
! [X0] :
( sQ219_spl
<=> ( ssList(skaf67(X0))
| ~ ssList(skaf67(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f2071,plain,
( sQ219_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2058,f508,f2068]) ).
fof(f2072,definition,
! [X0,X1,X2] :
( sQ220_spl
<=> ( app(app(skaf67(X2),nil),X1) = X0
| ~ ssList(app(skaf67(X2),X1))
| ~ segmentP(X0,app(app(skaf67(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf67(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f2075,plain,
( ~ sQ8_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f2059,f2072,f508]) ).
fof(f2076,definition,
! [X0,X1,X2,X3] :
( sQ221_spl
<=> ( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf67(X2),X1))
| ~ segmentP(X3,app(app(skaf67(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf67(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f2079,plain,
( ~ sQ8_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f2060,f2076,f508]) ).
fof(f2080,definition,
! [X0,X1] :
( sQ222_spl
<=> ( frontsegP(skaf67(X0),X1)
| ~ ssList(skaf67(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf67(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f2083,plain,
( ~ sQ8_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f2061,f2080,f508]) ).
fof(f2084,definition,
! [X0,X1] :
( sQ223_spl
<=> ( segmentP(app(app(skaf67(X1),nil),X0),nil)
| ~ ssList(app(skaf67(X1),X0))
| ~ ssList(skaf67(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f2087,plain,
( ~ sQ8_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f2062,f2084,f508]) ).
fof(f2088,definition,
! [X0,X1,X2] :
( sQ224_spl
<=> ( segmentP(app(skaf67(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf67(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f2091,plain,
( ~ sQ8_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f2063,f2088,f508]) ).
fof(f2099,plain,
! [X0] :
( frontsegP(skaf68(X0),skaf68(X0))
| ~ ssList(skaf68(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f867,f1408]) ).
fof(f2100,plain,
! [X0] :
( ssList(skaf68(X0))
| ~ ssList(skaf68(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f867,f283]) ).
fof(f2101,plain,
! [X0,X1,X2] :
( app(app(skaf68(X2),nil),X1) = X0
| ~ ssList(app(skaf68(X2),X1))
| ~ segmentP(X0,app(app(skaf68(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf68(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f867,f678]) ).
fof(f2102,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf68(X2),X1))
| ~ segmentP(X3,app(app(skaf68(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf68(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f867,f677]) ).
fof(f2103,plain,
! [X0,X1] :
( frontsegP(skaf68(X0),X1)
| ~ ssList(skaf68(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf68(X0),X1) ),
inference(paramodulation,[status(thm)],[f867,f349]) ).
fof(f2104,plain,
! [X0,X1] :
( segmentP(app(app(skaf68(X1),nil),X0),nil)
| ~ ssList(app(skaf68(X1),X0))
| ~ ssList(nil)
| ~ ssList(skaf68(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f867,f488]) ).
fof(f2105,plain,
! [X0,X1,X2] :
( segmentP(app(skaf68(X2),X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf68(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f867,f402]) ).
fof(f2106,definition,
! [X0] :
( sQ225_spl
<=> ( frontsegP(skaf68(X0),skaf68(X0))
| ~ ssList(skaf68(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f2109,plain,
( sQ225_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2099,f508,f2106]) ).
fof(f2110,definition,
! [X0] :
( sQ226_spl
<=> ( ssList(skaf68(X0))
| ~ ssList(skaf68(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f2113,plain,
( sQ226_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2100,f508,f2110]) ).
fof(f2114,definition,
! [X0,X1,X2] :
( sQ227_spl
<=> ( app(app(skaf68(X2),nil),X1) = X0
| ~ ssList(app(skaf68(X2),X1))
| ~ segmentP(X0,app(app(skaf68(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf68(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f2117,plain,
( ~ sQ8_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f2101,f2114,f508]) ).
fof(f2118,definition,
! [X0,X1,X2,X3] :
( sQ228_spl
<=> ( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf68(X2),X1))
| ~ segmentP(X3,app(app(skaf68(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf68(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f2121,plain,
( ~ sQ8_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f2102,f2118,f508]) ).
fof(f2122,definition,
! [X0,X1] :
( sQ229_spl
<=> ( frontsegP(skaf68(X0),X1)
| ~ ssList(skaf68(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf68(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f2125,plain,
( ~ sQ8_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f2103,f2122,f508]) ).
fof(f2126,definition,
! [X0,X1] :
( sQ230_spl
<=> ( segmentP(app(app(skaf68(X1),nil),X0),nil)
| ~ ssList(app(skaf68(X1),X0))
| ~ ssList(skaf68(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f2129,plain,
( ~ sQ8_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f2104,f2126,f508]) ).
fof(f2130,definition,
! [X0,X1,X2] :
( sQ231_spl
<=> ( segmentP(app(skaf68(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf68(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f2133,plain,
( ~ sQ8_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f2105,f2130,f508]) ).
fof(f2141,plain,
! [X0] :
( frontsegP(skaf71(X0),skaf71(X0))
| ~ ssList(skaf71(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f868,f1408]) ).
fof(f2142,plain,
! [X0] :
( ssList(skaf71(X0))
| ~ ssList(skaf71(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f868,f283]) ).
fof(f2143,plain,
! [X0,X1,X2] :
( app(app(skaf71(X2),nil),X1) = X0
| ~ ssList(app(skaf71(X2),X1))
| ~ segmentP(X0,app(app(skaf71(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf71(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f868,f678]) ).
fof(f2144,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf71(X2),X1))
| ~ segmentP(X3,app(app(skaf71(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf71(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f868,f677]) ).
fof(f2145,plain,
! [X0,X1] :
( frontsegP(skaf71(X0),X1)
| ~ ssList(skaf71(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf71(X0),X1) ),
inference(paramodulation,[status(thm)],[f868,f349]) ).
fof(f2146,plain,
! [X0,X1] :
( segmentP(app(app(skaf71(X1),nil),X0),nil)
| ~ ssList(app(skaf71(X1),X0))
| ~ ssList(nil)
| ~ ssList(skaf71(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f868,f488]) ).
fof(f2147,plain,
! [X0,X1,X2] :
( segmentP(app(skaf71(X2),X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf71(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f868,f402]) ).
fof(f2148,definition,
! [X0] :
( sQ232_spl
<=> ( frontsegP(skaf71(X0),skaf71(X0))
| ~ ssList(skaf71(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f2151,plain,
( sQ232_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2141,f508,f2148]) ).
fof(f2152,definition,
! [X0] :
( sQ233_spl
<=> ( ssList(skaf71(X0))
| ~ ssList(skaf71(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f2155,plain,
( sQ233_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2142,f508,f2152]) ).
fof(f2156,definition,
! [X0,X1,X2] :
( sQ234_spl
<=> ( app(app(skaf71(X2),nil),X1) = X0
| ~ ssList(app(skaf71(X2),X1))
| ~ segmentP(X0,app(app(skaf71(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf71(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f2159,plain,
( ~ sQ8_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f2143,f2156,f508]) ).
fof(f2160,definition,
! [X0,X1,X2,X3] :
( sQ235_spl
<=> ( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf71(X2),X1))
| ~ segmentP(X3,app(app(skaf71(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf71(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f2163,plain,
( ~ sQ8_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f2144,f2160,f508]) ).
fof(f2164,definition,
! [X0,X1] :
( sQ236_spl
<=> ( frontsegP(skaf71(X0),X1)
| ~ ssList(skaf71(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf71(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f2167,plain,
( ~ sQ8_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f2145,f2164,f508]) ).
fof(f2168,definition,
! [X0,X1] :
( sQ237_spl
<=> ( segmentP(app(app(skaf71(X1),nil),X0),nil)
| ~ ssList(app(skaf71(X1),X0))
| ~ ssList(skaf71(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f2171,plain,
( ~ sQ8_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f2146,f2168,f508]) ).
fof(f2172,definition,
! [X0,X1,X2] :
( sQ238_spl
<=> ( segmentP(app(skaf71(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf71(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f2175,plain,
( ~ sQ8_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f2147,f2172,f508]) ).
fof(f2203,plain,
! [X0] :
( ~ sQ78_spl
| segmentP(sk4,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(sk4,X0) ),
inference(paramodulation,[status(thm)],[f855,f1079]) ).
fof(f2206,definition,
! [X0] :
( sQ239_spl
<=> ( segmentP(sk4,X0)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f2209,plain,
( ~ sQ78_spl
| ~ sQ8_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f2203,f2206,f508,f1078]) ).
fof(f2210,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| ~ ssList(sk4)
| ~ ssList(X1)
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ segmentP(X2,app(sk4,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk4,X0) ),
inference(resolution,[status(thm)],[f1082,f283]) ).
fof(f2211,plain,
! [X0,X1] :
( ~ sQ73_spl
| segmentP(X1,X0)
| ~ ssList(X1)
| ~ ssList(sk4)
| ~ segmentP(X1,app(sk4,nil))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(sk4,X0) ),
inference(paramodulation,[status(thm)],[f855,f1082]) ).
fof(f2212,definition,
! [X0,X1,X2] :
( sQ240_spl
<=> ( ~ ssList(X1)
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ segmentP(X2,app(sk4,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f2215,plain,
( ~ sQ73_spl
| ~ sQ19_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f2210,f2212,f590,f1058]) ).
fof(f2216,definition,
! [X0,X1] :
( sQ241_spl
<=> ( segmentP(X1,X0)
| ~ ssList(X1)
| ~ segmentP(X1,app(sk4,nil))
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f2219,plain,
( ~ sQ73_spl
| ~ sQ19_spl
| ~ sQ8_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f2211,f2216,f508,f590,f1058]) ).
fof(f2223,plain,
! [X0] :
( app(skaf71(X0),nil) = skaf71(X0)
| ~ frontsegP(skaf71(X0),skaf71(X0))
| ~ ssList(skaf71(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f868,f1505]) ).
fof(f2224,plain,
! [X0] :
( app(skaf68(X0),nil) = skaf68(X0)
| ~ frontsegP(skaf68(X0),skaf68(X0))
| ~ ssList(skaf68(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f867,f1505]) ).
fof(f2225,plain,
! [X0] :
( app(skaf67(X0),nil) = skaf67(X0)
| ~ frontsegP(skaf67(X0),skaf67(X0))
| ~ ssList(skaf67(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f866,f1505]) ).
fof(f2226,plain,
! [X0] :
( app(skaf66(X0),nil) = skaf66(X0)
| ~ frontsegP(skaf66(X0),skaf66(X0))
| ~ ssList(skaf66(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f865,f1505]) ).
fof(f2227,plain,
! [X0] :
( app(skaf63(X0),nil) = skaf63(X0)
| ~ frontsegP(skaf63(X0),skaf63(X0))
| ~ ssList(skaf63(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f864,f1505]) ).
fof(f2228,plain,
! [X0] :
( app(skaf62(X0),nil) = skaf62(X0)
| ~ frontsegP(skaf62(X0),skaf62(X0))
| ~ ssList(skaf62(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f863,f1505]) ).
fof(f2229,plain,
! [X0] :
( app(skaf61(X0),nil) = skaf61(X0)
| ~ frontsegP(skaf61(X0),skaf61(X0))
| ~ ssList(skaf61(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f862,f1505]) ).
fof(f2230,plain,
! [X0] :
( app(skaf58(X0),nil) = skaf58(X0)
| ~ frontsegP(skaf58(X0),skaf58(X0))
| ~ ssList(skaf58(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f861,f1505]) ).
fof(f2231,plain,
! [X0] :
( app(skaf57(X0),nil) = skaf57(X0)
| ~ frontsegP(skaf57(X0),skaf57(X0))
| ~ ssList(skaf57(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f860,f1505]) ).
fof(f2232,plain,
! [X0] :
( app(skaf56(X0),nil) = skaf56(X0)
| ~ frontsegP(skaf56(X0),skaf56(X0))
| ~ ssList(skaf56(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f859,f1505]) ).
fof(f2233,plain,
! [X0] :
( app(skaf53(X0),nil) = skaf53(X0)
| ~ frontsegP(skaf53(X0),skaf53(X0))
| ~ ssList(skaf53(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f858,f1505]) ).
fof(f2234,plain,
! [X0] :
( app(skaf52(X0),nil) = skaf52(X0)
| ~ frontsegP(skaf52(X0),skaf52(X0))
| ~ ssList(skaf52(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f857,f1505]) ).
fof(f2235,plain,
! [X0] :
( app(skaf51(X0),nil) = skaf51(X0)
| ~ frontsegP(skaf51(X0),skaf51(X0))
| ~ ssList(skaf51(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f856,f1505]) ).
fof(f2238,plain,
( app(nil,nil) = nil
| ~ frontsegP(nil,nil)
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f878,f1505]) ).
fof(f2239,plain,
( app(sk3,nil) = sk3
| ~ frontsegP(sk3,sk3)
| ~ ssList(sk3)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f869,f1505]) ).
fof(f2240,plain,
( app(sk4,nil) = sk4
| ~ frontsegP(sk4,sk4)
| ~ ssList(sk4)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f855,f1505]) ).
fof(f2242,definition,
! [X0] :
( sQ242_spl
<=> ( app(skaf71(X0),nil) = skaf71(X0)
| ~ frontsegP(skaf71(X0),skaf71(X0))
| ~ ssList(skaf71(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f2245,plain,
( sQ242_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2223,f508,f2242]) ).
fof(f2246,definition,
! [X0] :
( sQ243_spl
<=> ( app(skaf68(X0),nil) = skaf68(X0)
| ~ frontsegP(skaf68(X0),skaf68(X0))
| ~ ssList(skaf68(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f2249,plain,
( sQ243_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2224,f508,f2246]) ).
fof(f2250,definition,
! [X0] :
( sQ244_spl
<=> ( app(skaf67(X0),nil) = skaf67(X0)
| ~ frontsegP(skaf67(X0),skaf67(X0))
| ~ ssList(skaf67(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f2253,plain,
( sQ244_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2225,f508,f2250]) ).
fof(f2254,definition,
! [X0] :
( sQ245_spl
<=> ( app(skaf66(X0),nil) = skaf66(X0)
| ~ frontsegP(skaf66(X0),skaf66(X0))
| ~ ssList(skaf66(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f2257,plain,
( sQ245_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2226,f508,f2254]) ).
fof(f2258,definition,
! [X0] :
( sQ246_spl
<=> ( app(skaf63(X0),nil) = skaf63(X0)
| ~ frontsegP(skaf63(X0),skaf63(X0))
| ~ ssList(skaf63(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f2261,plain,
( sQ246_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2227,f508,f2258]) ).
fof(f2262,definition,
! [X0] :
( sQ247_spl
<=> ( app(skaf62(X0),nil) = skaf62(X0)
| ~ frontsegP(skaf62(X0),skaf62(X0))
| ~ ssList(skaf62(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f2265,plain,
( sQ247_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2228,f508,f2262]) ).
fof(f2266,definition,
! [X0] :
( sQ248_spl
<=> ( app(skaf61(X0),nil) = skaf61(X0)
| ~ frontsegP(skaf61(X0),skaf61(X0))
| ~ ssList(skaf61(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f2269,plain,
( sQ248_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2229,f508,f2266]) ).
fof(f2270,definition,
! [X0] :
( sQ249_spl
<=> ( app(skaf58(X0),nil) = skaf58(X0)
| ~ frontsegP(skaf58(X0),skaf58(X0))
| ~ ssList(skaf58(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f2273,plain,
( sQ249_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2230,f508,f2270]) ).
fof(f2274,definition,
! [X0] :
( sQ250_spl
<=> ( app(skaf57(X0),nil) = skaf57(X0)
| ~ frontsegP(skaf57(X0),skaf57(X0))
| ~ ssList(skaf57(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f2277,plain,
( sQ250_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2231,f508,f2274]) ).
fof(f2278,definition,
! [X0] :
( sQ251_spl
<=> ( app(skaf56(X0),nil) = skaf56(X0)
| ~ frontsegP(skaf56(X0),skaf56(X0))
| ~ ssList(skaf56(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f2281,plain,
( sQ251_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2232,f508,f2278]) ).
fof(f2282,definition,
! [X0] :
( sQ252_spl
<=> ( app(skaf53(X0),nil) = skaf53(X0)
| ~ frontsegP(skaf53(X0),skaf53(X0))
| ~ ssList(skaf53(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f2285,plain,
( sQ252_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2233,f508,f2282]) ).
fof(f2286,definition,
! [X0] :
( sQ253_spl
<=> ( app(skaf52(X0),nil) = skaf52(X0)
| ~ frontsegP(skaf52(X0),skaf52(X0))
| ~ ssList(skaf52(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f2289,plain,
( sQ253_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2234,f508,f2286]) ).
fof(f2290,definition,
! [X0] :
( sQ254_spl
<=> ( app(skaf51(X0),nil) = skaf51(X0)
| ~ frontsegP(skaf51(X0),skaf51(X0))
| ~ ssList(skaf51(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f2293,plain,
( sQ254_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2235,f508,f2290]) ).
fof(f2302,definition,
( sQ257_spl
<=> app(nil,nil) = nil ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f2305,plain,
( sQ257_spl
| ~ sQ39_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2238,f508,f759,f2302]) ).
fof(f2306,definition,
( sQ258_spl
<=> app(sk3,nil) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f2309,plain,
( sQ258_spl
| ~ sQ62_spl
| ~ sQ10_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2239,f508,f528,f954,f2306]) ).
fof(f2310,definition,
( sQ259_spl
<=> app(sk4,nil) = sk4 ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f2313,plain,
( sQ259_spl
| ~ sQ54_spl
| ~ sQ19_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2240,f508,f590,f907,f2310]) ).
fof(f2316,plain,
! [X0,X1] :
( segmentP(app(skaf71(X1),X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf71(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f868,f1428]) ).
fof(f2317,plain,
! [X0,X1] :
( segmentP(app(skaf68(X1),X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf68(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f867,f1428]) ).
fof(f2318,plain,
! [X0,X1] :
( segmentP(app(skaf67(X1),X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf67(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f866,f1428]) ).
fof(f2319,plain,
! [X0,X1] :
( segmentP(app(skaf66(X1),X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf66(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f865,f1428]) ).
fof(f2320,plain,
! [X0,X1] :
( segmentP(app(skaf63(X1),X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf63(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f864,f1428]) ).
fof(f2321,plain,
! [X0,X1] :
( segmentP(app(skaf62(X1),X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf62(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f863,f1428]) ).
fof(f2322,plain,
! [X0,X1] :
( segmentP(app(skaf61(X1),X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf61(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f862,f1428]) ).
fof(f2323,plain,
! [X0,X1] :
( segmentP(app(skaf58(X1),X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf58(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f861,f1428]) ).
fof(f2324,plain,
! [X0,X1] :
( segmentP(app(skaf57(X1),X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf57(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f860,f1428]) ).
fof(f2325,plain,
! [X0,X1] :
( segmentP(app(skaf56(X1),X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf56(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f859,f1428]) ).
fof(f2326,plain,
! [X0,X1] :
( segmentP(app(skaf53(X1),X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf53(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f858,f1428]) ).
fof(f2327,plain,
! [X0,X1] :
( segmentP(app(skaf52(X1),X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf52(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f857,f1428]) ).
fof(f2328,plain,
! [X0,X1] :
( segmentP(app(skaf51(X1),X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf51(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f856,f1428]) ).
fof(f2329,plain,
! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1042,f1428]) ).
fof(f2330,plain,
! [X0] :
( segmentP(app(sk4,X0),sk4)
| ~ ssList(sk4)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1028,f1428]) ).
fof(f2331,plain,
! [X0] :
( segmentP(app(nil,X0),nil)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f878,f1428]) ).
fof(f2336,definition,
! [X0,X1] :
( sQ260_spl
<=> ( segmentP(app(skaf71(X1),X0),nil)
| ~ ssList(skaf71(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f2339,plain,
( ~ sQ8_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f2316,f2336,f508]) ).
fof(f2340,definition,
! [X0,X1] :
( sQ261_spl
<=> ( segmentP(app(skaf68(X1),X0),nil)
| ~ ssList(skaf68(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f2343,plain,
( ~ sQ8_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f2317,f2340,f508]) ).
fof(f2344,definition,
! [X0,X1] :
( sQ262_spl
<=> ( segmentP(app(skaf67(X1),X0),nil)
| ~ ssList(skaf67(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f2347,plain,
( ~ sQ8_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f2318,f2344,f508]) ).
fof(f2348,definition,
! [X0,X1] :
( sQ263_spl
<=> ( segmentP(app(skaf66(X1),X0),nil)
| ~ ssList(skaf66(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f2351,plain,
( ~ sQ8_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f2319,f2348,f508]) ).
fof(f2352,definition,
! [X0,X1] :
( sQ264_spl
<=> ( segmentP(app(skaf63(X1),X0),nil)
| ~ ssList(skaf63(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f2355,plain,
( ~ sQ8_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f2320,f2352,f508]) ).
fof(f2356,definition,
! [X0,X1] :
( sQ265_spl
<=> ( segmentP(app(skaf62(X1),X0),nil)
| ~ ssList(skaf62(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f2359,plain,
( ~ sQ8_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f2321,f2356,f508]) ).
fof(f2360,definition,
! [X0,X1] :
( sQ266_spl
<=> ( segmentP(app(skaf61(X1),X0),nil)
| ~ ssList(skaf61(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f2363,plain,
( ~ sQ8_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f2322,f2360,f508]) ).
fof(f2364,definition,
! [X0,X1] :
( sQ267_spl
<=> ( segmentP(app(skaf58(X1),X0),nil)
| ~ ssList(skaf58(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f2367,plain,
( ~ sQ8_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f2323,f2364,f508]) ).
fof(f2368,definition,
! [X0,X1] :
( sQ268_spl
<=> ( segmentP(app(skaf57(X1),X0),nil)
| ~ ssList(skaf57(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f2371,plain,
( ~ sQ8_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f2324,f2368,f508]) ).
fof(f2372,definition,
! [X0,X1] :
( sQ269_spl
<=> ( segmentP(app(skaf56(X1),X0),nil)
| ~ ssList(skaf56(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f2375,plain,
( ~ sQ8_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f2325,f2372,f508]) ).
fof(f2376,definition,
! [X0,X1] :
( sQ270_spl
<=> ( segmentP(app(skaf53(X1),X0),nil)
| ~ ssList(skaf53(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f2379,plain,
( ~ sQ8_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f2326,f2376,f508]) ).
fof(f2380,definition,
! [X0,X1] :
( sQ271_spl
<=> ( segmentP(app(skaf52(X1),X0),nil)
| ~ ssList(skaf52(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f2383,plain,
( ~ sQ8_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f2327,f2380,f508]) ).
fof(f2384,definition,
! [X0,X1] :
( sQ272_spl
<=> ( segmentP(app(skaf51(X1),X0),nil)
| ~ ssList(skaf51(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f2387,plain,
( ~ sQ8_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f2328,f2384,f508]) ).
fof(f2388,definition,
! [X0] :
( sQ273_spl
<=> ( segmentP(app(sk3,X0),sk3)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f2389,plain,
! [X0] :
( ~ sQ273_spl
| segmentP(app(sk3,X0),sk3)
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f2388]) ).
fof(f2391,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f2329,f2388,f508,f528]) ).
fof(f2392,definition,
! [X0] :
( sQ274_spl
<=> ( segmentP(app(sk4,X0),sk4)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f2395,plain,
( ~ sQ19_spl
| ~ sQ8_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f2330,f2392,f508,f590]) ).
fof(f2396,definition,
! [X0] :
( sQ275_spl
<=> ( segmentP(app(nil,X0),nil)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f2397,plain,
! [X0] :
( ~ sQ275_spl
| segmentP(app(nil,X0),nil)
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f2396]) ).
fof(f2399,plain,
( ~ sQ8_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f2331,f2396,f508]) ).
fof(f2418,plain,
! [X0,X1] :
( segmentP(app(skaf72(X1),X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf72(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f870,f1428]) ).
fof(f2419,plain,
! [X0] :
( app(skaf72(X0),nil) = skaf72(X0)
| ~ frontsegP(skaf72(X0),skaf72(X0))
| ~ ssList(skaf72(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f870,f1505]) ).
fof(f2420,plain,
! [X0] :
( frontsegP(skaf72(X0),skaf72(X0))
| ~ ssList(skaf72(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f870,f1408]) ).
fof(f2421,plain,
! [X0] :
( ssList(skaf72(X0))
| ~ ssList(skaf72(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f870,f283]) ).
fof(f2422,plain,
! [X0,X1,X2] :
( app(app(skaf72(X2),nil),X1) = X0
| ~ ssList(app(skaf72(X2),X1))
| ~ segmentP(X0,app(app(skaf72(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf72(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f870,f678]) ).
fof(f2423,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf72(X2),X1))
| ~ segmentP(X3,app(app(skaf72(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf72(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f870,f677]) ).
fof(f2424,plain,
! [X0,X1] :
( frontsegP(skaf72(X0),X1)
| ~ ssList(skaf72(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf72(X0),X1) ),
inference(paramodulation,[status(thm)],[f870,f349]) ).
fof(f2425,plain,
! [X0,X1,X2] :
( segmentP(app(skaf72(X2),X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf72(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f870,f402]) ).
fof(f2426,definition,
! [X0,X1] :
( sQ276_spl
<=> ( segmentP(app(skaf72(X1),X0),nil)
| ~ ssList(skaf72(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f2429,plain,
( ~ sQ8_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f2418,f2426,f508]) ).
fof(f2430,definition,
! [X0] :
( sQ277_spl
<=> ( app(skaf72(X0),nil) = skaf72(X0)
| ~ frontsegP(skaf72(X0),skaf72(X0))
| ~ ssList(skaf72(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f2433,plain,
( sQ277_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2419,f508,f2430]) ).
fof(f2434,definition,
! [X0] :
( sQ278_spl
<=> ( frontsegP(skaf72(X0),skaf72(X0))
| ~ ssList(skaf72(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f2437,plain,
( sQ278_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2420,f508,f2434]) ).
fof(f2438,definition,
! [X0] :
( sQ279_spl
<=> ( ssList(skaf72(X0))
| ~ ssList(skaf72(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f2441,plain,
( sQ279_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2421,f508,f2438]) ).
fof(f2442,definition,
! [X0,X1,X2] :
( sQ280_spl
<=> ( app(app(skaf72(X2),nil),X1) = X0
| ~ ssList(app(skaf72(X2),X1))
| ~ segmentP(X0,app(app(skaf72(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf72(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f2445,plain,
( ~ sQ8_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f2422,f2442,f508]) ).
fof(f2446,definition,
! [X0,X1,X2,X3] :
( sQ281_spl
<=> ( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf72(X2),X1))
| ~ segmentP(X3,app(app(skaf72(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf72(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f2449,plain,
( ~ sQ8_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f2423,f2446,f508]) ).
fof(f2450,definition,
! [X0,X1] :
( sQ282_spl
<=> ( frontsegP(skaf72(X0),X1)
| ~ ssList(skaf72(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf72(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f2453,plain,
( ~ sQ8_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f2424,f2450,f508]) ).
fof(f2454,definition,
! [X0,X1,X2] :
( sQ283_spl
<=> ( segmentP(app(skaf72(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf72(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f2457,plain,
( ~ sQ8_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f2425,f2454,f508]) ).
fof(f2465,plain,
! [X0,X1] :
( segmentP(app(skaf73(X1),X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf73(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f871,f1428]) ).
fof(f2466,plain,
! [X0] :
( app(skaf73(X0),nil) = skaf73(X0)
| ~ frontsegP(skaf73(X0),skaf73(X0))
| ~ ssList(skaf73(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f871,f1505]) ).
fof(f2467,plain,
! [X0] :
( frontsegP(skaf73(X0),skaf73(X0))
| ~ ssList(skaf73(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f871,f1408]) ).
fof(f2468,plain,
! [X0] :
( ssList(skaf73(X0))
| ~ ssList(skaf73(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f871,f283]) ).
fof(f2469,plain,
! [X0,X1,X2] :
( app(app(skaf73(X2),nil),X1) = X0
| ~ ssList(app(skaf73(X2),X1))
| ~ segmentP(X0,app(app(skaf73(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf73(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f871,f678]) ).
fof(f2470,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf73(X2),X1))
| ~ segmentP(X3,app(app(skaf73(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf73(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f871,f677]) ).
fof(f2471,plain,
! [X0,X1] :
( frontsegP(skaf73(X0),X1)
| ~ ssList(skaf73(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf73(X0),X1) ),
inference(paramodulation,[status(thm)],[f871,f349]) ).
fof(f2472,plain,
! [X0,X1,X2] :
( segmentP(app(skaf73(X2),X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf73(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f871,f402]) ).
fof(f2473,definition,
! [X0,X1] :
( sQ284_spl
<=> ( segmentP(app(skaf73(X1),X0),nil)
| ~ ssList(skaf73(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f2476,plain,
( ~ sQ8_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f2465,f2473,f508]) ).
fof(f2477,definition,
! [X0] :
( sQ285_spl
<=> ( app(skaf73(X0),nil) = skaf73(X0)
| ~ frontsegP(skaf73(X0),skaf73(X0))
| ~ ssList(skaf73(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f2480,plain,
( sQ285_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2466,f508,f2477]) ).
fof(f2481,definition,
! [X0] :
( sQ286_spl
<=> ( frontsegP(skaf73(X0),skaf73(X0))
| ~ ssList(skaf73(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f2484,plain,
( sQ286_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2467,f508,f2481]) ).
fof(f2485,definition,
! [X0] :
( sQ287_spl
<=> ( ssList(skaf73(X0))
| ~ ssList(skaf73(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f2488,plain,
( sQ287_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2468,f508,f2485]) ).
fof(f2489,definition,
! [X0,X1,X2] :
( sQ288_spl
<=> ( app(app(skaf73(X2),nil),X1) = X0
| ~ ssList(app(skaf73(X2),X1))
| ~ segmentP(X0,app(app(skaf73(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf73(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f2492,plain,
( ~ sQ8_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f2469,f2489,f508]) ).
fof(f2493,definition,
! [X0,X1,X2,X3] :
( sQ289_spl
<=> ( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf73(X2),X1))
| ~ segmentP(X3,app(app(skaf73(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf73(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f2496,plain,
( ~ sQ8_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f2470,f2493,f508]) ).
fof(f2497,definition,
! [X0,X1] :
( sQ290_spl
<=> ( frontsegP(skaf73(X0),X1)
| ~ ssList(skaf73(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf73(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f2500,plain,
( ~ sQ8_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f2471,f2497,f508]) ).
fof(f2501,definition,
! [X0,X1,X2] :
( sQ291_spl
<=> ( segmentP(app(skaf73(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf73(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f2504,plain,
( ~ sQ8_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f2472,f2501,f508]) ).
fof(f2512,plain,
! [X0,X1] :
( segmentP(app(skaf75(X1),X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf75(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f872,f1428]) ).
fof(f2513,plain,
! [X0] :
( app(skaf75(X0),nil) = skaf75(X0)
| ~ frontsegP(skaf75(X0),skaf75(X0))
| ~ ssList(skaf75(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f872,f1505]) ).
fof(f2514,plain,
! [X0] :
( frontsegP(skaf75(X0),skaf75(X0))
| ~ ssList(skaf75(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f872,f1408]) ).
fof(f2515,plain,
! [X0] :
( ssList(skaf75(X0))
| ~ ssList(skaf75(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f872,f283]) ).
fof(f2516,plain,
! [X0,X1,X2] :
( app(app(skaf75(X2),nil),X1) = X0
| ~ ssList(app(skaf75(X2),X1))
| ~ segmentP(X0,app(app(skaf75(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf75(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f872,f678]) ).
fof(f2517,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf75(X2),X1))
| ~ segmentP(X3,app(app(skaf75(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf75(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f872,f677]) ).
fof(f2518,plain,
! [X0,X1] :
( frontsegP(skaf75(X0),X1)
| ~ ssList(skaf75(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf75(X0),X1) ),
inference(paramodulation,[status(thm)],[f872,f349]) ).
fof(f2519,plain,
! [X0,X1,X2] :
( segmentP(app(skaf75(X2),X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf75(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f872,f402]) ).
fof(f2520,definition,
! [X0,X1] :
( sQ292_spl
<=> ( segmentP(app(skaf75(X1),X0),nil)
| ~ ssList(skaf75(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f2523,plain,
( ~ sQ8_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f2512,f2520,f508]) ).
fof(f2524,definition,
! [X0] :
( sQ293_spl
<=> ( app(skaf75(X0),nil) = skaf75(X0)
| ~ frontsegP(skaf75(X0),skaf75(X0))
| ~ ssList(skaf75(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f2527,plain,
( sQ293_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2513,f508,f2524]) ).
fof(f2528,definition,
! [X0] :
( sQ294_spl
<=> ( frontsegP(skaf75(X0),skaf75(X0))
| ~ ssList(skaf75(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f2531,plain,
( sQ294_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2514,f508,f2528]) ).
fof(f2532,definition,
! [X0] :
( sQ295_spl
<=> ( ssList(skaf75(X0))
| ~ ssList(skaf75(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f2535,plain,
( sQ295_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2515,f508,f2532]) ).
fof(f2536,definition,
! [X0,X1,X2] :
( sQ296_spl
<=> ( app(app(skaf75(X2),nil),X1) = X0
| ~ ssList(app(skaf75(X2),X1))
| ~ segmentP(X0,app(app(skaf75(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf75(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f2539,plain,
( ~ sQ8_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f2516,f2536,f508]) ).
fof(f2540,definition,
! [X0,X1,X2,X3] :
( sQ297_spl
<=> ( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf75(X2),X1))
| ~ segmentP(X3,app(app(skaf75(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf75(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f2543,plain,
( ~ sQ8_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f2517,f2540,f508]) ).
fof(f2544,definition,
! [X0,X1] :
( sQ298_spl
<=> ( frontsegP(skaf75(X0),X1)
| ~ ssList(skaf75(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf75(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f2547,plain,
( ~ sQ8_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f2518,f2544,f508]) ).
fof(f2548,definition,
! [X0,X1,X2] :
( sQ299_spl
<=> ( segmentP(app(skaf75(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf75(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f2551,plain,
( ~ sQ8_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f2519,f2548,f508]) ).
fof(f2613,plain,
! [X0,X1] :
( ~ sQ273_spl
| segmentP(X1,sk3)
| ~ ssList(X1)
| ~ ssList(app(sk3,X0))
| ~ ssList(sk3)
| ~ segmentP(X1,app(sk3,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2389,f372]) ).
fof(f2614,plain,
! [X0] :
( ~ sQ273_spl
| app(sk3,X0) = sk3
| ~ ssList(app(sk3,X0))
| ~ ssList(sk3)
| ~ segmentP(sk3,app(sk3,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2389,f337]) ).
fof(f2616,definition,
! [X0,X1] :
( sQ300_spl
<=> ( segmentP(X1,sk3)
| ~ ssList(X1)
| ~ ssList(app(sk3,X0))
| ~ segmentP(X1,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f2619,plain,
( ~ sQ273_spl
| ~ sQ10_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f2613,f2616,f528,f2388]) ).
fof(f2620,definition,
! [X0] :
( sQ301_spl
<=> ( app(sk3,X0) = sk3
| ~ ssList(app(sk3,X0))
| ~ segmentP(sk3,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f2623,plain,
( ~ sQ273_spl
| ~ sQ10_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f2614,f2620,f528,f2388]) ).
fof(f2625,plain,
! [X0,X1,X2] :
( ~ sQ80_spl
| ~ ssList(sk3)
| ~ ssList(X1)
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ segmentP(X2,app(sk3,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk3,X0) ),
inference(resolution,[status(thm)],[f1124,f283]) ).
fof(f2626,plain,
! [X0,X1] :
( ~ sQ80_spl
| segmentP(X1,X0)
| ~ ssList(X1)
| ~ ssList(sk3)
| ~ segmentP(X1,app(sk3,nil))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(sk3,X0) ),
inference(paramodulation,[status(thm)],[f869,f1124]) ).
fof(f2627,definition,
! [X0,X1,X2] :
( sQ302_spl
<=> ( ~ ssList(X1)
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ segmentP(X2,app(sk3,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f2630,plain,
( ~ sQ80_spl
| ~ sQ10_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f2625,f2627,f528,f1100]) ).
fof(f2631,definition,
! [X0,X1] :
( sQ303_spl
<=> ( segmentP(X1,X0)
| ~ ssList(X1)
| ~ segmentP(X1,app(sk3,nil))
| ~ ssList(X0)
| ~ segmentP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f2634,plain,
( ~ sQ80_spl
| ~ sQ10_spl
| ~ sQ8_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f2626,f2631,f508,f528,f1100]) ).
fof(f2637,plain,
! [X0,X1] :
( ~ sQ275_spl
| segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(app(nil,X0))
| ~ ssList(nil)
| ~ segmentP(X1,app(nil,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2397,f372]) ).
fof(f2638,plain,
! [X0] :
( ~ sQ275_spl
| app(nil,X0) = nil
| ~ ssList(app(nil,X0))
| ~ ssList(nil)
| ~ segmentP(nil,app(nil,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2397,f337]) ).
fof(f2641,plain,
( ~ sQ275_spl
| segmentP(nil,nil)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f878,f2397]) ).
fof(f2642,definition,
! [X0,X1] :
( sQ304_spl
<=> ( segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(app(nil,X0))
| ~ segmentP(X1,app(nil,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f2645,plain,
( ~ sQ275_spl
| ~ sQ8_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f2637,f2642,f508,f2396]) ).
fof(f2646,definition,
! [X0] :
( sQ305_spl
<=> ( app(nil,X0) = nil
| ~ ssList(app(nil,X0))
| ~ segmentP(nil,app(nil,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f2649,plain,
( ~ sQ275_spl
| ~ sQ8_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f2638,f2646,f508,f2396]) ).
fof(f2652,definition,
( sQ306_spl
<=> segmentP(nil,nil) ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f2653,plain,
( ~ sQ306_spl
| segmentP(nil,nil) ),
inference(component_clause,[status(thm)],[f2652]) ).
fof(f2655,plain,
( ~ sQ275_spl
| sQ306_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2641,f508,f2652,f2396]) ).
fof(f2659,plain,
! [X0] :
( ~ sQ306_spl
| segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ segmentP(X0,nil) ),
inference(resolution,[status(thm)],[f2653,f372]) ).
fof(f2664,definition,
! [X0] :
( sQ307_spl
<=> ( segmentP(X0,nil)
| ~ ssList(X0)
| ~ segmentP(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f2667,plain,
( ~ sQ306_spl
| ~ sQ8_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f2659,f2664,f508,f2652]) ).
fof(f2670,plain,
! [X0,X1,X2,X3] :
( ~ ssList(cons(X3,X1))
| ~ ssList(nil)
| ~ frontsegP(nil,cons(X2,X0))
| X3 = X2
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1456,f257]) ).
fof(f2673,definition,
! [X0,X1,X2,X3] :
( sQ308_spl
<=> ( ~ ssList(cons(X3,X1))
| ~ frontsegP(nil,cons(X2,X0))
| X3 = X2
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f2676,plain,
( ~ sQ8_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f2670,f2673,f508]) ).
fof(f2680,plain,
! [X0,X1,X2,X3] :
( ~ ssList(cons(X3,X1))
| ~ ssList(nil)
| ~ frontsegP(nil,cons(X2,X0))
| frontsegP(X1,X0)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1457,f257]) ).
fof(f2684,definition,
! [X0,X1,X2,X3] :
( sQ309_spl
<=> ( ~ ssList(cons(X3,X1))
| ~ frontsegP(nil,cons(X2,X0))
| frontsegP(X1,X0)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f2687,plain,
( ~ sQ8_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f2680,f2684,f508]) ).
fof(f2902,plain,
! [X0,X1] :
( frontsegP(X1,skaf75(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf75(X0))
| ~ ssList(skaf75(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f872,f1507]) ).
fof(f2903,plain,
! [X0,X1] :
( frontsegP(X1,skaf73(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf73(X0))
| ~ ssList(skaf73(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f871,f1507]) ).
fof(f2904,plain,
! [X0,X1] :
( frontsegP(X1,skaf72(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf72(X0))
| ~ ssList(skaf72(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f870,f1507]) ).
fof(f2905,plain,
! [X0,X1] :
( frontsegP(X1,skaf71(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf71(X0))
| ~ ssList(skaf71(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f868,f1507]) ).
fof(f2906,plain,
! [X0,X1] :
( frontsegP(X1,skaf68(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf68(X0))
| ~ ssList(skaf68(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f867,f1507]) ).
fof(f2907,plain,
! [X0,X1] :
( frontsegP(X1,skaf67(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf67(X0))
| ~ ssList(skaf67(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f866,f1507]) ).
fof(f2908,plain,
! [X0,X1] :
( frontsegP(X1,skaf66(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf66(X0))
| ~ ssList(skaf66(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f865,f1507]) ).
fof(f2909,plain,
! [X0,X1] :
( frontsegP(X1,skaf63(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf63(X0))
| ~ ssList(skaf63(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f864,f1507]) ).
fof(f2910,plain,
! [X0,X1] :
( frontsegP(X1,skaf62(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf62(X0))
| ~ ssList(skaf62(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f863,f1507]) ).
fof(f2911,plain,
! [X0,X1] :
( frontsegP(X1,skaf61(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf61(X0))
| ~ ssList(skaf61(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f862,f1507]) ).
fof(f2912,plain,
! [X0,X1] :
( frontsegP(X1,skaf58(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf58(X0))
| ~ ssList(skaf58(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f861,f1507]) ).
fof(f2913,plain,
! [X0,X1] :
( frontsegP(X1,skaf57(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf57(X0))
| ~ ssList(skaf57(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f860,f1507]) ).
fof(f2914,plain,
! [X0,X1] :
( frontsegP(X1,skaf56(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf56(X0))
| ~ ssList(skaf56(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f859,f1507]) ).
fof(f2915,plain,
! [X0,X1] :
( frontsegP(X1,skaf53(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf53(X0))
| ~ ssList(skaf53(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f858,f1507]) ).
fof(f2916,plain,
! [X0,X1] :
( frontsegP(X1,skaf52(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf52(X0))
| ~ ssList(skaf52(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f857,f1507]) ).
fof(f2917,plain,
! [X0,X1] :
( frontsegP(X1,skaf51(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf51(X0))
| ~ ssList(skaf51(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f856,f1507]) ).
fof(f2918,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0)
| ~ frontsegP(X0,sk3)
| ~ ssList(nil)
| ~ ssList(sk3) ),
inference(paramodulation,[status(thm)],[f1042,f1507]) ).
fof(f2919,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0)
| ~ frontsegP(X0,sk4)
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(paramodulation,[status(thm)],[f1028,f1507]) ).
fof(f2920,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0)
| ~ frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f878,f1507]) ).
fof(f2926,definition,
! [X0,X1] :
( sQ339_spl
<=> ( frontsegP(X1,skaf75(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf75(X0))
| ~ ssList(skaf75(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition]) ).
fof(f2929,plain,
( sQ339_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2902,f508,f2926]) ).
fof(f2930,definition,
! [X0,X1] :
( sQ340_spl
<=> ( frontsegP(X1,skaf73(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf73(X0))
| ~ ssList(skaf73(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition]) ).
fof(f2933,plain,
( sQ340_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2903,f508,f2930]) ).
fof(f2934,definition,
! [X0,X1] :
( sQ341_spl
<=> ( frontsegP(X1,skaf72(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf72(X0))
| ~ ssList(skaf72(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition]) ).
fof(f2937,plain,
( sQ341_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2904,f508,f2934]) ).
fof(f2938,definition,
! [X0,X1] :
( sQ342_spl
<=> ( frontsegP(X1,skaf71(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf71(X0))
| ~ ssList(skaf71(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).
fof(f2941,plain,
( sQ342_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2905,f508,f2938]) ).
fof(f2942,definition,
! [X0,X1] :
( sQ343_spl
<=> ( frontsegP(X1,skaf68(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf68(X0))
| ~ ssList(skaf68(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f2945,plain,
( sQ343_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2906,f508,f2942]) ).
fof(f2946,definition,
! [X0,X1] :
( sQ344_spl
<=> ( frontsegP(X1,skaf67(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf67(X0))
| ~ ssList(skaf67(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).
fof(f2949,plain,
( sQ344_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2907,f508,f2946]) ).
fof(f2950,definition,
! [X0,X1] :
( sQ345_spl
<=> ( frontsegP(X1,skaf66(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf66(X0))
| ~ ssList(skaf66(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).
fof(f2953,plain,
( sQ345_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2908,f508,f2950]) ).
fof(f2954,definition,
! [X0,X1] :
( sQ346_spl
<=> ( frontsegP(X1,skaf63(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf63(X0))
| ~ ssList(skaf63(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).
fof(f2957,plain,
( sQ346_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2909,f508,f2954]) ).
fof(f2958,definition,
! [X0,X1] :
( sQ347_spl
<=> ( frontsegP(X1,skaf62(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf62(X0))
| ~ ssList(skaf62(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition]) ).
fof(f2961,plain,
( sQ347_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2910,f508,f2958]) ).
fof(f2962,definition,
! [X0,X1] :
( sQ348_spl
<=> ( frontsegP(X1,skaf61(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf61(X0))
| ~ ssList(skaf61(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).
fof(f2965,plain,
( sQ348_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2911,f508,f2962]) ).
fof(f2966,definition,
! [X0,X1] :
( sQ349_spl
<=> ( frontsegP(X1,skaf58(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf58(X0))
| ~ ssList(skaf58(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition]) ).
fof(f2969,plain,
( sQ349_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2912,f508,f2966]) ).
fof(f2970,definition,
! [X0,X1] :
( sQ350_spl
<=> ( frontsegP(X1,skaf57(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf57(X0))
| ~ ssList(skaf57(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ350_spl])],[split_symbol_definition]) ).
fof(f2973,plain,
( sQ350_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2913,f508,f2970]) ).
fof(f2974,definition,
! [X0,X1] :
( sQ351_spl
<=> ( frontsegP(X1,skaf56(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf56(X0))
| ~ ssList(skaf56(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition]) ).
fof(f2977,plain,
( sQ351_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2914,f508,f2974]) ).
fof(f2978,definition,
! [X0,X1] :
( sQ352_spl
<=> ( frontsegP(X1,skaf53(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf53(X0))
| ~ ssList(skaf53(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).
fof(f2981,plain,
( sQ352_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2915,f508,f2978]) ).
fof(f2982,definition,
! [X0,X1] :
( sQ353_spl
<=> ( frontsegP(X1,skaf52(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf52(X0))
| ~ ssList(skaf52(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition]) ).
fof(f2985,plain,
( sQ353_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2916,f508,f2982]) ).
fof(f2986,definition,
! [X0,X1] :
( sQ354_spl
<=> ( frontsegP(X1,skaf51(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf51(X0))
| ~ ssList(skaf51(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ354_spl])],[split_symbol_definition]) ).
fof(f2989,plain,
( sQ354_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2917,f508,f2986]) ).
fof(f2990,plain,
( sQ87_spl
| ~ sQ8_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2918,f528,f508,f1135]) ).
fof(f2991,plain,
( sQ79_spl
| ~ sQ8_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f2919,f590,f508,f1090]) ).
fof(f2992,plain,
( sQ72_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2920,f508,f1018]) ).
fof(f3052,plain,
! [X0,X1,X2,X3] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X3)
| X0 = X3
| ~ frontsegP(X3,X0)
| ~ ssList(X0)
| ~ ssList(X3)
| ~ frontsegP(X0,app(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f758,f283]) ).
fof(f3062,plain,
! [X0,X1,X2] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X2)
| nil = X2
| ~ ssList(nil)
| ~ ssList(X2)
| ~ frontsegP(nil,app(X0,X1)) ),
inference(resolution,[status(thm)],[f3052,f257]) ).
fof(f3093,definition,
! [X0,X1,X2] :
( sQ367_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X2)
| nil = X2
| ~ ssList(X2)
| ~ frontsegP(nil,app(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition]) ).
fof(f3096,plain,
( ~ sQ8_spl
| sQ367_spl ),
inference(split_clause,[status(thm)],[f3062,f3093,f508]) ).
fof(f3117,plain,
! [X0,X1,X2] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X2,X1)
| ~ frontsegP(X0,X2)
| nil = X1
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(nil,X0) ),
inference(resolution,[status(thm)],[f767,f257]) ).
fof(f3121,plain,
! [X0,X1] :
( ~ sQ65_spl
| ~ ssList(nil)
| ~ frontsegP(nil,X1)
| X0 = X1
| ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(X0,nil) ),
inference(resolution,[status(thm)],[f767,f987]) ).
fof(f3122,plain,
! [X0,X1] :
( ~ sQ82_spl
| ~ ssList(nil)
| ~ frontsegP(nil,X1)
| X0 = X1
| ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ frontsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f767,f1125]) ).
fof(f3124,plain,
! [X0,X1] :
( ~ sQ57_spl
| ~ ssList(sk3)
| ~ frontsegP(sk3,X1)
| X0 = X1
| ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ frontsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f767,f940]) ).
fof(f3130,plain,
! [X0,X1] :
( ~ sQ75_spl
| ~ ssList(nil)
| ~ frontsegP(nil,X1)
| X0 = X1
| ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ frontsegP(X0,sk4) ),
inference(resolution,[status(thm)],[f767,f1083]) ).
fof(f3132,plain,
! [X0,X1] :
( ~ sQ50_spl
| ~ ssList(sk4)
| ~ frontsegP(sk4,X1)
| X0 = X1
| ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ frontsegP(X0,sk4) ),
inference(resolution,[status(thm)],[f767,f899]) ).
fof(f3134,plain,
! [X0] :
( ~ ssList(nil)
| ~ ssList(nil)
| X0 = nil
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ frontsegP(X0,nil) ),
inference(resolution,[status(thm)],[f767,f257]) ).
fof(f3135,plain,
! [X0,X1,X2] :
( ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(nil,X2)
| X0 = X2
| ~ frontsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f767,f257]) ).
fof(f3138,plain,
! [X0,X1] :
( ~ sQ65_spl
| ~ ssList(nil)
| ~ frontsegP(X1,nil)
| X0 = nil
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f767,f987]) ).
fof(f3139,plain,
! [X0,X1] :
( ~ sQ82_spl
| ~ ssList(sk3)
| ~ frontsegP(X1,sk3)
| X0 = nil
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f767,f1125]) ).
fof(f3140,plain,
! [X0,X1] :
( ~ sQ57_spl
| ~ ssList(sk3)
| ~ frontsegP(X1,sk3)
| X0 = sk3
| ~ frontsegP(sk3,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk3)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f767,f940]) ).
fof(f3144,plain,
! [X0,X1] :
( ~ sQ75_spl
| ~ ssList(sk4)
| ~ frontsegP(X1,sk4)
| X0 = nil
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f767,f1083]) ).
fof(f3145,plain,
! [X0,X1] :
( ~ sQ50_spl
| ~ ssList(sk4)
| ~ frontsegP(X1,sk4)
| X0 = sk4
| ~ frontsegP(sk4,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk4)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f767,f899]) ).
fof(f3147,plain,
! [X0,X1,X2] :
( ~ ssList(X2)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| X0 = nil
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f767,f257]) ).
fof(f3186,definition,
! [X0,X1,X2] :
( sQ374_spl
<=> ( ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X2,X1)
| ~ frontsegP(X0,X2)
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition]) ).
fof(f3189,plain,
( ~ sQ8_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f3117,f3186,f508]) ).
fof(f3191,definition,
! [X0,X1] :
( sQ375_spl
<=> ( ~ frontsegP(nil,X1)
| X0 = X1
| ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[sQ375_spl])],[split_symbol_definition]) ).
fof(f3194,plain,
( ~ sQ65_spl
| ~ sQ8_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f3121,f3191,f508,f971]) ).
fof(f3195,definition,
! [X0,X1] :
( sQ376_spl
<=> ( ~ frontsegP(nil,X1)
| X0 = X1
| ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ376_spl])],[split_symbol_definition]) ).
fof(f3198,plain,
( ~ sQ82_spl
| ~ sQ8_spl
| ~ sQ10_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f3122,f3195,f528,f508,f1108]) ).
fof(f3200,definition,
! [X0,X1] :
( sQ377_spl
<=> ( ~ frontsegP(sk3,X1)
| X0 = X1
| ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ377_spl])],[split_symbol_definition]) ).
fof(f3203,plain,
( ~ sQ57_spl
| ~ sQ10_spl
| sQ377_spl ),
inference(split_clause,[status(thm)],[f3124,f3200,f528,f924]) ).
fof(f3210,definition,
! [X0,X1] :
( sQ378_spl
<=> ( ~ frontsegP(nil,X1)
| X0 = X1
| ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,sk4) ) ),
introduced(definition,[new_symbols(definition,[sQ378_spl])],[split_symbol_definition]) ).
fof(f3213,plain,
( ~ sQ75_spl
| ~ sQ8_spl
| ~ sQ19_spl
| sQ378_spl ),
inference(split_clause,[status(thm)],[f3130,f3210,f590,f508,f1066]) ).
fof(f3215,definition,
! [X0,X1] :
( sQ379_spl
<=> ( ~ frontsegP(sk4,X1)
| X0 = X1
| ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,sk4) ) ),
introduced(definition,[new_symbols(definition,[sQ379_spl])],[split_symbol_definition]) ).
fof(f3218,plain,
( ~ sQ50_spl
| ~ sQ19_spl
| sQ379_spl ),
inference(split_clause,[status(thm)],[f3132,f3215,f590,f883]) ).
fof(f3223,plain,
( ~ sQ8_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f3134,f1606,f508]) ).
fof(f3224,definition,
! [X0,X1,X2] :
( sQ381_spl
<=> ( ~ ssList(X1)
| ~ frontsegP(nil,X2)
| X0 = X2
| ~ frontsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ381_spl])],[split_symbol_definition]) ).
fof(f3227,plain,
( ~ sQ8_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f3135,f3224,f508]) ).
fof(f3230,definition,
! [X0,X1] :
( sQ382_spl
<=> ( ~ frontsegP(X1,nil)
| X0 = nil
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ382_spl])],[split_symbol_definition]) ).
fof(f3233,plain,
( ~ sQ65_spl
| ~ sQ8_spl
| sQ382_spl ),
inference(split_clause,[status(thm)],[f3138,f3230,f508,f971]) ).
fof(f3234,definition,
! [X0,X1] :
( sQ383_spl
<=> ( ~ frontsegP(X1,sk3)
| X0 = nil
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ383_spl])],[split_symbol_definition]) ).
fof(f3237,plain,
( ~ sQ82_spl
| ~ sQ10_spl
| ~ sQ8_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f3139,f3234,f508,f528,f1108]) ).
fof(f3238,definition,
! [X0,X1] :
( sQ384_spl
<=> ( ~ frontsegP(X1,sk3)
| X0 = sk3
| ~ frontsegP(sk3,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition]) ).
fof(f3241,plain,
( ~ sQ57_spl
| ~ sQ10_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f3140,f3238,f528,f924]) ).
fof(f3247,definition,
! [X0,X1] :
( sQ385_spl
<=> ( ~ frontsegP(X1,sk4)
| X0 = nil
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition]) ).
fof(f3250,plain,
( ~ sQ75_spl
| ~ sQ19_spl
| ~ sQ8_spl
| sQ385_spl ),
inference(split_clause,[status(thm)],[f3144,f3247,f508,f590,f1066]) ).
fof(f3251,definition,
! [X0,X1] :
( sQ386_spl
<=> ( ~ frontsegP(X1,sk4)
| X0 = sk4
| ~ frontsegP(sk4,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ386_spl])],[split_symbol_definition]) ).
fof(f3254,plain,
( ~ sQ50_spl
| ~ sQ19_spl
| sQ386_spl ),
inference(split_clause,[status(thm)],[f3145,f3251,f590,f883]) ).
fof(f3259,definition,
! [X0,X1,X2] :
( sQ388_spl
<=> ( ~ ssList(X2)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| X0 = nil
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ388_spl])],[split_symbol_definition]) ).
fof(f3262,plain,
( ~ sQ8_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f3147,f3259,f508]) ).
fof(f3380,definition,
( sQ395_spl
<=> ssList(skaf82(sk4)) ),
introduced(definition,[new_symbols(definition,[sQ395_spl])],[split_symbol_definition]) ).
fof(f3382,plain,
( sQ395_spl
| ~ ssList(skaf82(sk4)) ),
inference(component_clause,[status(thm)],[f3380]) ).
fof(f3383,definition,
( sQ396_spl
<=> ssItem(skaf83(sk4)) ),
introduced(definition,[new_symbols(definition,[sQ396_spl])],[split_symbol_definition]) ).
fof(f3385,plain,
( sQ396_spl
| ~ ssItem(skaf83(sk4)) ),
inference(component_clause,[status(thm)],[f3383]) ).
fof(f3432,plain,
( sQ396_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3385,f209]) ).
fof(f3433,plain,
sQ396_spl,
inference(contradiction_clause,[status(thm)],[f3432]) ).
fof(f3434,plain,
( sQ395_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3382,f210]) ).
fof(f3435,plain,
sQ395_spl,
inference(contradiction_clause,[status(thm)],[f3434]) ).
fof(f3468,definition,
( sQ409_spl
<=> ssList(skaf82(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ409_spl])],[split_symbol_definition]) ).
fof(f3470,plain,
( sQ409_spl
| ~ ssList(skaf82(sk3)) ),
inference(component_clause,[status(thm)],[f3468]) ).
fof(f3471,definition,
( sQ410_spl
<=> ssItem(skaf83(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ410_spl])],[split_symbol_definition]) ).
fof(f3473,plain,
( sQ410_spl
| ~ ssItem(skaf83(sk3)) ),
inference(component_clause,[status(thm)],[f3471]) ).
fof(f3520,plain,
( sQ410_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3473,f209]) ).
fof(f3521,plain,
sQ410_spl,
inference(contradiction_clause,[status(thm)],[f3520]) ).
fof(f3522,plain,
( sQ409_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3470,f210]) ).
fof(f3523,plain,
sQ409_spl,
inference(contradiction_clause,[status(thm)],[f3522]) ).
fof(f3654,plain,
! [X0,X1,X2,X3] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ frontsegP(X2,X0)
| X0 = app(X2,X3)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,app(X2,X3))
| ~ frontsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f770,f283]) ).
fof(f3655,plain,
! [X0,X1] :
( ~ sQ65_spl
| ~ ssList(nil)
| ~ ssList(X1)
| nil = app(nil,X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(X0,app(nil,X1))
| ~ frontsegP(nil,X0) ),
inference(resolution,[status(thm)],[f3654,f987]) ).
fof(f3656,plain,
! [X0,X1] :
( ~ sQ82_spl
| ~ ssList(sk3)
| ~ ssList(X1)
| nil = app(sk3,X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk3,X1))
| ~ frontsegP(nil,X0) ),
inference(resolution,[status(thm)],[f3654,f1125]) ).
fof(f3657,plain,
! [X0,X1] :
( ~ sQ57_spl
| ~ ssList(sk3)
| ~ ssList(X1)
| sk3 = app(sk3,X1)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk3,X1))
| ~ frontsegP(sk3,X0) ),
inference(resolution,[status(thm)],[f3654,f940]) ).
fof(f3661,plain,
! [X0,X1] :
( ~ sQ75_spl
| ~ ssList(sk4)
| ~ ssList(X1)
| nil = app(sk4,X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk4,X1))
| ~ frontsegP(nil,X0) ),
inference(resolution,[status(thm)],[f3654,f1083]) ).
fof(f3662,plain,
! [X0,X1] :
( ~ sQ50_spl
| ~ ssList(sk4)
| ~ ssList(X1)
| sk4 = app(sk4,X1)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk4,X1))
| ~ frontsegP(sk4,X0) ),
inference(resolution,[status(thm)],[f3654,f899]) ).
fof(f3664,plain,
! [X0,X1,X2] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ ssList(X2)
| nil = app(X1,X2)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(X0,app(X1,X2))
| ~ frontsegP(nil,X0) ),
inference(resolution,[status(thm)],[f3654,f257]) ).
fof(f3666,definition,
! [X0,X1] :
( sQ426_spl
<=> ( ~ ssList(X1)
| nil = app(nil,X1)
| ~ ssList(X0)
| ~ frontsegP(X0,app(nil,X1))
| ~ frontsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ426_spl])],[split_symbol_definition]) ).
fof(f3669,plain,
( ~ sQ65_spl
| ~ sQ8_spl
| sQ426_spl ),
inference(split_clause,[status(thm)],[f3655,f3666,f508,f971]) ).
fof(f3670,definition,
! [X0,X1] :
( sQ427_spl
<=> ( ~ ssList(X1)
| nil = app(sk3,X1)
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk3,X1))
| ~ frontsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ427_spl])],[split_symbol_definition]) ).
fof(f3673,plain,
( ~ sQ82_spl
| ~ sQ10_spl
| ~ sQ8_spl
| sQ427_spl ),
inference(split_clause,[status(thm)],[f3656,f3670,f508,f528,f1108]) ).
fof(f3674,definition,
! [X0,X1] :
( sQ428_spl
<=> ( ~ ssList(X1)
| sk3 = app(sk3,X1)
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk3,X1))
| ~ frontsegP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ428_spl])],[split_symbol_definition]) ).
fof(f3677,plain,
( ~ sQ57_spl
| ~ sQ10_spl
| sQ428_spl ),
inference(split_clause,[status(thm)],[f3657,f3674,f528,f924]) ).
fof(f3683,definition,
! [X0,X1] :
( sQ429_spl
<=> ( ~ ssList(X1)
| nil = app(sk4,X1)
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk4,X1))
| ~ frontsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ429_spl])],[split_symbol_definition]) ).
fof(f3686,plain,
( ~ sQ75_spl
| ~ sQ19_spl
| ~ sQ8_spl
| sQ429_spl ),
inference(split_clause,[status(thm)],[f3661,f3683,f508,f590,f1066]) ).
fof(f3687,definition,
! [X0,X1] :
( sQ430_spl
<=> ( ~ ssList(X1)
| sk4 = app(sk4,X1)
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk4,X1))
| ~ frontsegP(sk4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ430_spl])],[split_symbol_definition]) ).
fof(f3690,plain,
( ~ sQ50_spl
| ~ sQ19_spl
| sQ430_spl ),
inference(split_clause,[status(thm)],[f3662,f3687,f590,f883]) ).
fof(f3695,definition,
! [X0,X1,X2] :
( sQ432_spl
<=> ( ~ ssList(X1)
| ~ ssList(X1)
| ~ ssList(X2)
| nil = app(X1,X2)
| ~ ssList(X0)
| ~ frontsegP(X0,app(X1,X2))
| ~ frontsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ432_spl])],[split_symbol_definition]) ).
fof(f3698,plain,
( ~ sQ8_spl
| sQ432_spl ),
inference(split_clause,[status(thm)],[f3664,f3695,f508]) ).
fof(f3701,plain,
! [X0,X1] :
( frontsegP(X1,skaf76(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf76(X0))
| ~ ssList(skaf76(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f873,f1507]) ).
fof(f3702,plain,
! [X0,X1] :
( segmentP(app(skaf76(X1),X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf76(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f873,f1428]) ).
fof(f3703,plain,
! [X0] :
( app(skaf76(X0),nil) = skaf76(X0)
| ~ frontsegP(skaf76(X0),skaf76(X0))
| ~ ssList(skaf76(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f873,f1505]) ).
fof(f3704,plain,
! [X0] :
( frontsegP(skaf76(X0),skaf76(X0))
| ~ ssList(skaf76(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f873,f1408]) ).
fof(f3705,plain,
! [X0] :
( ssList(skaf76(X0))
| ~ ssList(skaf76(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f873,f283]) ).
fof(f3706,plain,
! [X0,X1,X2] :
( app(app(skaf76(X2),nil),X1) = X0
| ~ ssList(app(skaf76(X2),X1))
| ~ segmentP(X0,app(app(skaf76(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf76(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f873,f678]) ).
fof(f3707,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf76(X2),X1))
| ~ segmentP(X3,app(app(skaf76(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf76(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f873,f677]) ).
fof(f3708,plain,
! [X0,X1] :
( frontsegP(skaf76(X0),X1)
| ~ ssList(skaf76(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf76(X0),X1) ),
inference(paramodulation,[status(thm)],[f873,f349]) ).
fof(f3709,plain,
! [X0,X1,X2] :
( segmentP(app(skaf76(X2),X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf76(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f873,f402]) ).
fof(f3710,definition,
! [X0,X1] :
( sQ433_spl
<=> ( frontsegP(X1,skaf76(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf76(X0))
| ~ ssList(skaf76(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ433_spl])],[split_symbol_definition]) ).
fof(f3713,plain,
( sQ433_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3701,f508,f3710]) ).
fof(f3714,definition,
! [X0,X1] :
( sQ434_spl
<=> ( segmentP(app(skaf76(X1),X0),nil)
| ~ ssList(skaf76(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ434_spl])],[split_symbol_definition]) ).
fof(f3717,plain,
( ~ sQ8_spl
| sQ434_spl ),
inference(split_clause,[status(thm)],[f3702,f3714,f508]) ).
fof(f3718,definition,
! [X0] :
( sQ435_spl
<=> ( app(skaf76(X0),nil) = skaf76(X0)
| ~ frontsegP(skaf76(X0),skaf76(X0))
| ~ ssList(skaf76(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ435_spl])],[split_symbol_definition]) ).
fof(f3721,plain,
( sQ435_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3703,f508,f3718]) ).
fof(f3722,definition,
! [X0] :
( sQ436_spl
<=> ( frontsegP(skaf76(X0),skaf76(X0))
| ~ ssList(skaf76(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ436_spl])],[split_symbol_definition]) ).
fof(f3725,plain,
( sQ436_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3704,f508,f3722]) ).
fof(f3726,definition,
! [X0] :
( sQ437_spl
<=> ( ssList(skaf76(X0))
| ~ ssList(skaf76(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ437_spl])],[split_symbol_definition]) ).
fof(f3729,plain,
( sQ437_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3705,f508,f3726]) ).
fof(f3730,definition,
! [X0,X1,X2] :
( sQ438_spl
<=> ( app(app(skaf76(X2),nil),X1) = X0
| ~ ssList(app(skaf76(X2),X1))
| ~ segmentP(X0,app(app(skaf76(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf76(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ438_spl])],[split_symbol_definition]) ).
fof(f3733,plain,
( ~ sQ8_spl
| sQ438_spl ),
inference(split_clause,[status(thm)],[f3706,f3730,f508]) ).
fof(f3734,definition,
! [X0,X1,X2,X3] :
( sQ439_spl
<=> ( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf76(X2),X1))
| ~ segmentP(X3,app(app(skaf76(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf76(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ439_spl])],[split_symbol_definition]) ).
fof(f3737,plain,
( ~ sQ8_spl
| sQ439_spl ),
inference(split_clause,[status(thm)],[f3707,f3734,f508]) ).
fof(f3738,definition,
! [X0,X1] :
( sQ440_spl
<=> ( frontsegP(skaf76(X0),X1)
| ~ ssList(skaf76(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf76(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ440_spl])],[split_symbol_definition]) ).
fof(f3741,plain,
( ~ sQ8_spl
| sQ440_spl ),
inference(split_clause,[status(thm)],[f3708,f3738,f508]) ).
fof(f3742,definition,
! [X0,X1,X2] :
( sQ441_spl
<=> ( segmentP(app(skaf76(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf76(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ441_spl])],[split_symbol_definition]) ).
fof(f3745,plain,
( ~ sQ8_spl
| sQ441_spl ),
inference(split_clause,[status(thm)],[f3709,f3742,f508]) ).
fof(f3753,plain,
! [X0,X1] :
( frontsegP(X1,skaf77(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf77(X0))
| ~ ssList(skaf77(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f874,f1507]) ).
fof(f3754,plain,
! [X0,X1] :
( segmentP(app(skaf77(X1),X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf77(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f874,f1428]) ).
fof(f3755,plain,
! [X0] :
( app(skaf77(X0),nil) = skaf77(X0)
| ~ frontsegP(skaf77(X0),skaf77(X0))
| ~ ssList(skaf77(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f874,f1505]) ).
fof(f3756,plain,
! [X0] :
( frontsegP(skaf77(X0),skaf77(X0))
| ~ ssList(skaf77(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f874,f1408]) ).
fof(f3757,plain,
! [X0] :
( ssList(skaf77(X0))
| ~ ssList(skaf77(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f874,f283]) ).
fof(f3758,plain,
! [X0,X1,X2] :
( app(app(skaf77(X2),nil),X1) = X0
| ~ ssList(app(skaf77(X2),X1))
| ~ segmentP(X0,app(app(skaf77(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf77(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f874,f678]) ).
fof(f3759,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf77(X2),X1))
| ~ segmentP(X3,app(app(skaf77(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf77(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f874,f677]) ).
fof(f3760,plain,
! [X0,X1] :
( frontsegP(skaf77(X0),X1)
| ~ ssList(skaf77(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf77(X0),X1) ),
inference(paramodulation,[status(thm)],[f874,f349]) ).
fof(f3761,plain,
! [X0,X1,X2] :
( segmentP(app(skaf77(X2),X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf77(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f874,f402]) ).
fof(f3762,definition,
! [X0,X1] :
( sQ442_spl
<=> ( frontsegP(X1,skaf77(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf77(X0))
| ~ ssList(skaf77(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ442_spl])],[split_symbol_definition]) ).
fof(f3765,plain,
( sQ442_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3753,f508,f3762]) ).
fof(f3766,definition,
! [X0,X1] :
( sQ443_spl
<=> ( segmentP(app(skaf77(X1),X0),nil)
| ~ ssList(skaf77(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ443_spl])],[split_symbol_definition]) ).
fof(f3769,plain,
( ~ sQ8_spl
| sQ443_spl ),
inference(split_clause,[status(thm)],[f3754,f3766,f508]) ).
fof(f3770,definition,
! [X0] :
( sQ444_spl
<=> ( app(skaf77(X0),nil) = skaf77(X0)
| ~ frontsegP(skaf77(X0),skaf77(X0))
| ~ ssList(skaf77(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ444_spl])],[split_symbol_definition]) ).
fof(f3773,plain,
( sQ444_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3755,f508,f3770]) ).
fof(f3774,definition,
! [X0] :
( sQ445_spl
<=> ( frontsegP(skaf77(X0),skaf77(X0))
| ~ ssList(skaf77(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ445_spl])],[split_symbol_definition]) ).
fof(f3777,plain,
( sQ445_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3756,f508,f3774]) ).
fof(f3778,definition,
! [X0] :
( sQ446_spl
<=> ( ssList(skaf77(X0))
| ~ ssList(skaf77(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ446_spl])],[split_symbol_definition]) ).
fof(f3781,plain,
( sQ446_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3757,f508,f3778]) ).
fof(f3782,definition,
! [X0,X1,X2] :
( sQ447_spl
<=> ( app(app(skaf77(X2),nil),X1) = X0
| ~ ssList(app(skaf77(X2),X1))
| ~ segmentP(X0,app(app(skaf77(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf77(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ447_spl])],[split_symbol_definition]) ).
fof(f3785,plain,
( ~ sQ8_spl
| sQ447_spl ),
inference(split_clause,[status(thm)],[f3758,f3782,f508]) ).
fof(f3786,definition,
! [X0,X1,X2,X3] :
( sQ448_spl
<=> ( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf77(X2),X1))
| ~ segmentP(X3,app(app(skaf77(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf77(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ448_spl])],[split_symbol_definition]) ).
fof(f3789,plain,
( ~ sQ8_spl
| sQ448_spl ),
inference(split_clause,[status(thm)],[f3759,f3786,f508]) ).
fof(f3790,definition,
! [X0,X1] :
( sQ449_spl
<=> ( frontsegP(skaf77(X0),X1)
| ~ ssList(skaf77(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf77(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ449_spl])],[split_symbol_definition]) ).
fof(f3793,plain,
( ~ sQ8_spl
| sQ449_spl ),
inference(split_clause,[status(thm)],[f3760,f3790,f508]) ).
fof(f3794,definition,
! [X0,X1,X2] :
( sQ450_spl
<=> ( segmentP(app(skaf77(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf77(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ450_spl])],[split_symbol_definition]) ).
fof(f3797,plain,
( ~ sQ8_spl
| sQ450_spl ),
inference(split_clause,[status(thm)],[f3761,f3794,f508]) ).
fof(f3805,plain,
! [X0,X1] :
( frontsegP(X1,skaf80(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf80(X0))
| ~ ssList(skaf80(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f875,f1507]) ).
fof(f3806,plain,
! [X0,X1] :
( segmentP(app(skaf80(X1),X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf80(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f875,f1428]) ).
fof(f3807,plain,
! [X0] :
( app(skaf80(X0),nil) = skaf80(X0)
| ~ frontsegP(skaf80(X0),skaf80(X0))
| ~ ssList(skaf80(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f875,f1505]) ).
fof(f3808,plain,
! [X0] :
( frontsegP(skaf80(X0),skaf80(X0))
| ~ ssList(skaf80(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f875,f1408]) ).
fof(f3809,plain,
! [X0] :
( ssList(skaf80(X0))
| ~ ssList(skaf80(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f875,f283]) ).
fof(f3810,plain,
! [X0,X1,X2] :
( app(app(skaf80(X2),nil),X1) = X0
| ~ ssList(app(skaf80(X2),X1))
| ~ segmentP(X0,app(app(skaf80(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf80(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f875,f678]) ).
fof(f3811,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf80(X2),X1))
| ~ segmentP(X3,app(app(skaf80(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf80(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f875,f677]) ).
fof(f3812,plain,
! [X0,X1] :
( frontsegP(skaf80(X0),X1)
| ~ ssList(skaf80(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf80(X0),X1) ),
inference(paramodulation,[status(thm)],[f875,f349]) ).
fof(f3813,plain,
! [X0,X1,X2] :
( segmentP(app(skaf80(X2),X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf80(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f875,f402]) ).
fof(f3814,definition,
! [X0,X1] :
( sQ451_spl
<=> ( frontsegP(X1,skaf80(X0))
| ~ ssList(X1)
| ~ frontsegP(X1,skaf80(X0))
| ~ ssList(skaf80(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ451_spl])],[split_symbol_definition]) ).
fof(f3817,plain,
( sQ451_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3805,f508,f3814]) ).
fof(f3818,definition,
! [X0,X1] :
( sQ452_spl
<=> ( segmentP(app(skaf80(X1),X0),nil)
| ~ ssList(skaf80(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ452_spl])],[split_symbol_definition]) ).
fof(f3821,plain,
( ~ sQ8_spl
| sQ452_spl ),
inference(split_clause,[status(thm)],[f3806,f3818,f508]) ).
fof(f3822,definition,
! [X0] :
( sQ453_spl
<=> ( app(skaf80(X0),nil) = skaf80(X0)
| ~ frontsegP(skaf80(X0),skaf80(X0))
| ~ ssList(skaf80(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ453_spl])],[split_symbol_definition]) ).
fof(f3825,plain,
( sQ453_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3807,f508,f3822]) ).
fof(f3826,definition,
! [X0] :
( sQ454_spl
<=> ( frontsegP(skaf80(X0),skaf80(X0))
| ~ ssList(skaf80(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ454_spl])],[split_symbol_definition]) ).
fof(f3829,plain,
( sQ454_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3808,f508,f3826]) ).
fof(f3830,definition,
! [X0] :
( sQ455_spl
<=> ( ssList(skaf80(X0))
| ~ ssList(skaf80(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ455_spl])],[split_symbol_definition]) ).
fof(f3833,plain,
( sQ455_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3809,f508,f3830]) ).
fof(f3834,definition,
! [X0,X1,X2] :
( sQ456_spl
<=> ( app(app(skaf80(X2),nil),X1) = X0
| ~ ssList(app(skaf80(X2),X1))
| ~ segmentP(X0,app(app(skaf80(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf80(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ456_spl])],[split_symbol_definition]) ).
fof(f3837,plain,
( ~ sQ8_spl
| sQ456_spl ),
inference(split_clause,[status(thm)],[f3810,f3834,f508]) ).
fof(f3838,definition,
! [X0,X1,X2,X3] :
( sQ457_spl
<=> ( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf80(X2),X1))
| ~ segmentP(X3,app(app(skaf80(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf80(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ457_spl])],[split_symbol_definition]) ).
fof(f3841,plain,
( ~ sQ8_spl
| sQ457_spl ),
inference(split_clause,[status(thm)],[f3811,f3838,f508]) ).
fof(f3842,definition,
! [X0,X1] :
( sQ458_spl
<=> ( frontsegP(skaf80(X0),X1)
| ~ ssList(skaf80(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf80(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ458_spl])],[split_symbol_definition]) ).
fof(f3845,plain,
( ~ sQ8_spl
| sQ458_spl ),
inference(split_clause,[status(thm)],[f3812,f3842,f508]) ).
fof(f3846,definition,
! [X0,X1,X2] :
( sQ459_spl
<=> ( segmentP(app(skaf80(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf80(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ459_spl])],[split_symbol_definition]) ).
fof(f3849,plain,
( ~ sQ8_spl
| sQ459_spl ),
inference(split_clause,[status(thm)],[f3813,f3846,f508]) ).
fof(f4301,plain,
! [X0] :
( hd(skaf80(X0)) = hd(skaf80(X0))
| nil = skaf80(X0)
| ~ ssList(skaf80(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f875,f331]) ).
fof(f4302,plain,
! [X0] :
( hd(skaf77(X0)) = hd(skaf77(X0))
| nil = skaf77(X0)
| ~ ssList(skaf77(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f874,f331]) ).
fof(f4303,plain,
! [X0] :
( hd(skaf76(X0)) = hd(skaf76(X0))
| nil = skaf76(X0)
| ~ ssList(skaf76(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f873,f331]) ).
fof(f4304,plain,
! [X0] :
( hd(skaf75(X0)) = hd(skaf75(X0))
| nil = skaf75(X0)
| ~ ssList(skaf75(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f872,f331]) ).
fof(f4305,plain,
! [X0] :
( hd(skaf73(X0)) = hd(skaf73(X0))
| nil = skaf73(X0)
| ~ ssList(skaf73(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f871,f331]) ).
fof(f4306,plain,
! [X0] :
( hd(skaf72(X0)) = hd(skaf72(X0))
| nil = skaf72(X0)
| ~ ssList(skaf72(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f870,f331]) ).
fof(f4307,plain,
! [X0] :
( hd(skaf71(X0)) = hd(skaf71(X0))
| nil = skaf71(X0)
| ~ ssList(skaf71(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f868,f331]) ).
fof(f4308,plain,
! [X0] :
( hd(skaf68(X0)) = hd(skaf68(X0))
| nil = skaf68(X0)
| ~ ssList(skaf68(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f867,f331]) ).
fof(f4309,plain,
! [X0] :
( hd(skaf67(X0)) = hd(skaf67(X0))
| nil = skaf67(X0)
| ~ ssList(skaf67(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f866,f331]) ).
fof(f4310,plain,
! [X0] :
( hd(skaf66(X0)) = hd(skaf66(X0))
| nil = skaf66(X0)
| ~ ssList(skaf66(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f865,f331]) ).
fof(f4311,plain,
! [X0] :
( hd(skaf63(X0)) = hd(skaf63(X0))
| nil = skaf63(X0)
| ~ ssList(skaf63(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f864,f331]) ).
fof(f4312,plain,
! [X0] :
( hd(skaf62(X0)) = hd(skaf62(X0))
| nil = skaf62(X0)
| ~ ssList(skaf62(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f863,f331]) ).
fof(f4313,plain,
! [X0] :
( hd(skaf61(X0)) = hd(skaf61(X0))
| nil = skaf61(X0)
| ~ ssList(skaf61(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f862,f331]) ).
fof(f4314,plain,
! [X0] :
( hd(skaf58(X0)) = hd(skaf58(X0))
| nil = skaf58(X0)
| ~ ssList(skaf58(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f861,f331]) ).
fof(f4315,plain,
! [X0] :
( hd(skaf57(X0)) = hd(skaf57(X0))
| nil = skaf57(X0)
| ~ ssList(skaf57(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f860,f331]) ).
fof(f4316,plain,
! [X0] :
( hd(skaf56(X0)) = hd(skaf56(X0))
| nil = skaf56(X0)
| ~ ssList(skaf56(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f859,f331]) ).
fof(f4317,plain,
! [X0] :
( hd(skaf53(X0)) = hd(skaf53(X0))
| nil = skaf53(X0)
| ~ ssList(skaf53(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f858,f331]) ).
fof(f4318,plain,
! [X0] :
( hd(skaf52(X0)) = hd(skaf52(X0))
| nil = skaf52(X0)
| ~ ssList(skaf52(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f857,f331]) ).
fof(f4319,plain,
! [X0] :
( hd(skaf51(X0)) = hd(skaf51(X0))
| nil = skaf51(X0)
| ~ ssList(skaf51(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f856,f331]) ).
fof(f4325,definition,
! [X0] :
( sQ491_spl
<=> ( hd(skaf80(X0)) = hd(skaf80(X0))
| nil = skaf80(X0)
| ~ ssList(skaf80(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ491_spl])],[split_symbol_definition]) ).
fof(f4328,plain,
( sQ491_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4301,f508,f4325]) ).
fof(f4329,definition,
! [X0] :
( sQ492_spl
<=> ( hd(skaf77(X0)) = hd(skaf77(X0))
| nil = skaf77(X0)
| ~ ssList(skaf77(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ492_spl])],[split_symbol_definition]) ).
fof(f4332,plain,
( sQ492_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4302,f508,f4329]) ).
fof(f4333,definition,
! [X0] :
( sQ493_spl
<=> ( hd(skaf76(X0)) = hd(skaf76(X0))
| nil = skaf76(X0)
| ~ ssList(skaf76(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ493_spl])],[split_symbol_definition]) ).
fof(f4336,plain,
( sQ493_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4303,f508,f4333]) ).
fof(f4337,definition,
! [X0] :
( sQ494_spl
<=> ( hd(skaf75(X0)) = hd(skaf75(X0))
| nil = skaf75(X0)
| ~ ssList(skaf75(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ494_spl])],[split_symbol_definition]) ).
fof(f4340,plain,
( sQ494_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4304,f508,f4337]) ).
fof(f4341,definition,
! [X0] :
( sQ495_spl
<=> ( hd(skaf73(X0)) = hd(skaf73(X0))
| nil = skaf73(X0)
| ~ ssList(skaf73(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ495_spl])],[split_symbol_definition]) ).
fof(f4344,plain,
( sQ495_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4305,f508,f4341]) ).
fof(f4345,definition,
! [X0] :
( sQ496_spl
<=> ( hd(skaf72(X0)) = hd(skaf72(X0))
| nil = skaf72(X0)
| ~ ssList(skaf72(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ496_spl])],[split_symbol_definition]) ).
fof(f4348,plain,
( sQ496_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4306,f508,f4345]) ).
fof(f4349,definition,
! [X0] :
( sQ497_spl
<=> ( hd(skaf71(X0)) = hd(skaf71(X0))
| nil = skaf71(X0)
| ~ ssList(skaf71(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ497_spl])],[split_symbol_definition]) ).
fof(f4352,plain,
( sQ497_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4307,f508,f4349]) ).
fof(f4353,definition,
! [X0] :
( sQ498_spl
<=> ( hd(skaf68(X0)) = hd(skaf68(X0))
| nil = skaf68(X0)
| ~ ssList(skaf68(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ498_spl])],[split_symbol_definition]) ).
fof(f4356,plain,
( sQ498_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4308,f508,f4353]) ).
fof(f4357,definition,
! [X0] :
( sQ499_spl
<=> ( hd(skaf67(X0)) = hd(skaf67(X0))
| nil = skaf67(X0)
| ~ ssList(skaf67(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ499_spl])],[split_symbol_definition]) ).
fof(f4360,plain,
( sQ499_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4309,f508,f4357]) ).
fof(f4361,definition,
! [X0] :
( sQ500_spl
<=> ( hd(skaf66(X0)) = hd(skaf66(X0))
| nil = skaf66(X0)
| ~ ssList(skaf66(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ500_spl])],[split_symbol_definition]) ).
fof(f4364,plain,
( sQ500_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4310,f508,f4361]) ).
fof(f4365,definition,
! [X0] :
( sQ501_spl
<=> ( hd(skaf63(X0)) = hd(skaf63(X0))
| nil = skaf63(X0)
| ~ ssList(skaf63(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ501_spl])],[split_symbol_definition]) ).
fof(f4368,plain,
( sQ501_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4311,f508,f4365]) ).
fof(f4369,definition,
! [X0] :
( sQ502_spl
<=> ( hd(skaf62(X0)) = hd(skaf62(X0))
| nil = skaf62(X0)
| ~ ssList(skaf62(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ502_spl])],[split_symbol_definition]) ).
fof(f4372,plain,
( sQ502_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4312,f508,f4369]) ).
fof(f4373,definition,
! [X0] :
( sQ503_spl
<=> ( hd(skaf61(X0)) = hd(skaf61(X0))
| nil = skaf61(X0)
| ~ ssList(skaf61(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ503_spl])],[split_symbol_definition]) ).
fof(f4376,plain,
( sQ503_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4313,f508,f4373]) ).
fof(f4377,definition,
! [X0] :
( sQ504_spl
<=> ( hd(skaf58(X0)) = hd(skaf58(X0))
| nil = skaf58(X0)
| ~ ssList(skaf58(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ504_spl])],[split_symbol_definition]) ).
fof(f4380,plain,
( sQ504_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4314,f508,f4377]) ).
fof(f4381,definition,
! [X0] :
( sQ505_spl
<=> ( hd(skaf57(X0)) = hd(skaf57(X0))
| nil = skaf57(X0)
| ~ ssList(skaf57(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ505_spl])],[split_symbol_definition]) ).
fof(f4384,plain,
( sQ505_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4315,f508,f4381]) ).
fof(f4385,definition,
! [X0] :
( sQ506_spl
<=> ( hd(skaf56(X0)) = hd(skaf56(X0))
| nil = skaf56(X0)
| ~ ssList(skaf56(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ506_spl])],[split_symbol_definition]) ).
fof(f4388,plain,
( sQ506_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4316,f508,f4385]) ).
fof(f4389,definition,
! [X0] :
( sQ507_spl
<=> ( hd(skaf53(X0)) = hd(skaf53(X0))
| nil = skaf53(X0)
| ~ ssList(skaf53(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ507_spl])],[split_symbol_definition]) ).
fof(f4392,plain,
( sQ507_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4317,f508,f4389]) ).
fof(f4393,definition,
! [X0] :
( sQ508_spl
<=> ( hd(skaf52(X0)) = hd(skaf52(X0))
| nil = skaf52(X0)
| ~ ssList(skaf52(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ508_spl])],[split_symbol_definition]) ).
fof(f4396,plain,
( sQ508_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4318,f508,f4393]) ).
fof(f4397,definition,
! [X0] :
( sQ509_spl
<=> ( hd(skaf51(X0)) = hd(skaf51(X0))
| nil = skaf51(X0)
| ~ ssList(skaf51(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ509_spl])],[split_symbol_definition]) ).
fof(f4400,plain,
( sQ509_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4319,f508,f4397]) ).
fof(f4544,plain,
! [X0] :
( ~ ssList(X0)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(nil)
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f338,f255]) ).
fof(f4546,definition,
! [X0] :
( sQ535_spl
<=> ( ~ ssList(X0)
| X0 = nil
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ535_spl])],[split_symbol_definition]) ).
fof(f4549,plain,
( ~ sQ8_spl
| sQ535_spl ),
inference(split_clause,[status(thm)],[f4544,f4546,f508]) ).
fof(f4558,plain,
! [X0] :
( ~ sQ85_spl
| segmentP(sk3,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(sk3,X0) ),
inference(paramodulation,[status(thm)],[f869,f1121]) ).
fof(f4561,definition,
! [X0] :
( sQ536_spl
<=> ( segmentP(sk3,X0)
| ~ ssList(X0)
| ~ segmentP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ536_spl])],[split_symbol_definition]) ).
fof(f4564,plain,
( ~ sQ85_spl
| ~ sQ8_spl
| sQ536_spl ),
inference(split_clause,[status(thm)],[f4558,f4561,f508,f1120]) ).
fof(f4566,plain,
! [X0,X1] :
( ~ sQ65_spl
| ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ frontsegP(nil,X1)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ frontsegP(X0,nil) ),
inference(resolution,[status(thm)],[f772,f987]) ).
fof(f4568,plain,
! [X0,X1] :
( ~ sQ82_spl
| ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ frontsegP(nil,X1)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ frontsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f772,f1125]) ).
fof(f4570,plain,
! [X0,X1] :
( ~ sQ57_spl
| ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ frontsegP(sk3,X1)
| X0 = sk3
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ frontsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f772,f940]) ).
fof(f4578,plain,
! [X0,X1] :
( ~ sQ75_spl
| ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ frontsegP(nil,X1)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(nil)
| ~ frontsegP(X0,sk4) ),
inference(resolution,[status(thm)],[f772,f1083]) ).
fof(f4580,plain,
! [X0,X1] :
( ~ sQ50_spl
| ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ frontsegP(sk4,X1)
| X0 = sk4
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(sk4)
| ~ frontsegP(X0,sk4) ),
inference(resolution,[status(thm)],[f772,f899]) ).
fof(f4584,plain,
! [X0,X1,X2] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X2,X0)
| ~ frontsegP(nil,X2)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f772,f257]) ).
fof(f4589,plain,
! [X0,X1] :
( ~ sQ82_spl
| ~ ssList(nil)
| ~ frontsegP(nil,X0)
| X0 = sk3
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk3)
| ~ frontsegP(X1,sk3)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f772,f1125]) ).
fof(f4597,plain,
! [X0,X1] :
( ~ sQ75_spl
| ~ ssList(nil)
| ~ frontsegP(nil,X0)
| X0 = sk4
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk4)
| ~ frontsegP(X1,sk4)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f772,f1083]) ).
fof(f4602,plain,
! [X0,X1,X2] :
( ~ ssList(X2)
| ~ ssList(nil)
| ~ frontsegP(nil,X0)
| X0 = X2
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f772,f257]) ).
fof(f4617,definition,
! [X0,X1] :
( sQ537_spl
<=> ( ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ frontsegP(nil,X1)
| X0 = nil
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[sQ537_spl])],[split_symbol_definition]) ).
fof(f4620,plain,
( ~ sQ65_spl
| ~ sQ8_spl
| sQ537_spl ),
inference(split_clause,[status(thm)],[f4566,f4617,f508,f971]) ).
fof(f4622,definition,
! [X0,X1] :
( sQ538_spl
<=> ( ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ frontsegP(nil,X1)
| X0 = nil
| ~ ssList(X0)
| ~ frontsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ538_spl])],[split_symbol_definition]) ).
fof(f4625,plain,
( ~ sQ82_spl
| ~ sQ10_spl
| ~ sQ8_spl
| sQ538_spl ),
inference(split_clause,[status(thm)],[f4568,f4622,f508,f528,f1108]) ).
fof(f4627,definition,
! [X0,X1] :
( sQ539_spl
<=> ( ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ frontsegP(sk3,X1)
| X0 = sk3
| ~ ssList(X0)
| ~ frontsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ539_spl])],[split_symbol_definition]) ).
fof(f4630,plain,
( ~ sQ57_spl
| ~ sQ10_spl
| sQ539_spl ),
inference(split_clause,[status(thm)],[f4570,f4627,f528,f924]) ).
fof(f4637,definition,
! [X0,X1] :
( sQ540_spl
<=> ( ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ frontsegP(nil,X1)
| X0 = nil
| ~ ssList(X0)
| ~ frontsegP(X0,sk4) ) ),
introduced(definition,[new_symbols(definition,[sQ540_spl])],[split_symbol_definition]) ).
fof(f4640,plain,
( ~ sQ75_spl
| ~ sQ19_spl
| ~ sQ8_spl
| sQ540_spl ),
inference(split_clause,[status(thm)],[f4578,f4637,f508,f590,f1066]) ).
fof(f4642,definition,
! [X0,X1] :
( sQ541_spl
<=> ( ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ frontsegP(sk4,X1)
| X0 = sk4
| ~ ssList(X0)
| ~ frontsegP(X0,sk4) ) ),
introduced(definition,[new_symbols(definition,[sQ541_spl])],[split_symbol_definition]) ).
fof(f4645,plain,
( ~ sQ50_spl
| ~ sQ19_spl
| sQ541_spl ),
inference(split_clause,[status(thm)],[f4580,f4642,f590,f883]) ).
fof(f4652,definition,
! [X0,X1,X2] :
( sQ543_spl
<=> ( ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X2,X0)
| ~ frontsegP(nil,X2)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ543_spl])],[split_symbol_definition]) ).
fof(f4655,plain,
( ~ sQ8_spl
| sQ543_spl ),
inference(split_clause,[status(thm)],[f4584,f4652,f508]) ).
fof(f4659,definition,
! [X0,X1] :
( sQ544_spl
<=> ( ~ frontsegP(nil,X0)
| X0 = sk3
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,sk3)
| ~ frontsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ544_spl])],[split_symbol_definition]) ).
fof(f4662,plain,
( ~ sQ82_spl
| ~ sQ8_spl
| ~ sQ10_spl
| sQ544_spl ),
inference(split_clause,[status(thm)],[f4589,f4659,f528,f508,f1108]) ).
fof(f4669,definition,
! [X0,X1] :
( sQ545_spl
<=> ( ~ frontsegP(nil,X0)
| X0 = sk4
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,sk4)
| ~ frontsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ545_spl])],[split_symbol_definition]) ).
fof(f4672,plain,
( ~ sQ75_spl
| ~ sQ8_spl
| ~ sQ19_spl
| sQ545_spl ),
inference(split_clause,[status(thm)],[f4597,f4669,f590,f508,f1066]) ).
fof(f4680,definition,
! [X0,X1,X2] :
( sQ547_spl
<=> ( ~ ssList(X2)
| ~ frontsegP(nil,X0)
| X0 = X2
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ547_spl])],[split_symbol_definition]) ).
fof(f4683,plain,
( ~ sQ8_spl
| sQ547_spl ),
inference(split_clause,[status(thm)],[f4602,f4680,f508]) ).
fof(f4706,plain,
! [X0] :
( ~ ssList(X0)
| app(skaf46(X0,nil),nil) = X0
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f341,f255]) ).
fof(f4708,definition,
! [X0] :
( sQ548_spl
<=> ( ~ ssList(X0)
| app(skaf46(X0,nil),nil) = X0
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ548_spl])],[split_symbol_definition]) ).
fof(f4711,plain,
( sQ548_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4706,f508,f4708]) ).
fof(f4714,plain,
( ~ sQ65_spl
| app(nil,skaf45(nil,nil)) = nil
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f342,f987]) ).
fof(f4715,plain,
( ~ sQ82_spl
| app(nil,skaf45(sk3,nil)) = sk3
| ~ ssList(sk3)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f342,f1125]) ).
fof(f4716,plain,
( ~ sQ57_spl
| app(sk3,skaf45(sk3,sk3)) = sk3
| ~ ssList(sk3)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f342,f940]) ).
fof(f4720,plain,
( ~ sQ75_spl
| app(nil,skaf45(sk4,nil)) = sk4
| ~ ssList(sk4)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f342,f1083]) ).
fof(f4721,plain,
( ~ sQ50_spl
| app(sk4,skaf45(sk4,sk4)) = sk4
| ~ ssList(sk4)
| ~ ssList(sk4) ),
inference(resolution,[status(thm)],[f342,f899]) ).
fof(f4722,plain,
( ~ sQ6_spl
| app(sk3,skaf45(sk4,sk3)) = sk4
| ~ ssList(sk4)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f342,f462]) ).
fof(f4723,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,skaf45(X0,nil)) = X0
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f342,f257]) ).
fof(f4725,definition,
( sQ549_spl
<=> app(nil,skaf45(nil,nil)) = nil ),
introduced(definition,[new_symbols(definition,[sQ549_spl])],[split_symbol_definition]) ).
fof(f4728,plain,
( ~ sQ65_spl
| sQ549_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4714,f508,f4725,f971]) ).
fof(f4729,definition,
( sQ550_spl
<=> app(nil,skaf45(sk3,nil)) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ550_spl])],[split_symbol_definition]) ).
fof(f4732,plain,
( ~ sQ82_spl
| sQ550_spl
| ~ sQ10_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4715,f508,f528,f4729,f1108]) ).
fof(f4733,definition,
( sQ551_spl
<=> app(sk3,skaf45(sk3,sk3)) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ551_spl])],[split_symbol_definition]) ).
fof(f4736,plain,
( ~ sQ57_spl
| sQ551_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4716,f528,f4733,f924]) ).
fof(f4742,definition,
( sQ552_spl
<=> app(nil,skaf45(sk4,nil)) = sk4 ),
introduced(definition,[new_symbols(definition,[sQ552_spl])],[split_symbol_definition]) ).
fof(f4745,plain,
( ~ sQ75_spl
| sQ552_spl
| ~ sQ19_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4720,f508,f590,f4742,f1066]) ).
fof(f4746,definition,
( sQ553_spl
<=> app(sk4,skaf45(sk4,sk4)) = sk4 ),
introduced(definition,[new_symbols(definition,[sQ553_spl])],[split_symbol_definition]) ).
fof(f4749,plain,
( ~ sQ50_spl
| sQ553_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f4721,f590,f4746,f883]) ).
fof(f4750,definition,
( sQ554_spl
<=> app(sk3,skaf45(sk4,sk3)) = sk4 ),
introduced(definition,[new_symbols(definition,[sQ554_spl])],[split_symbol_definition]) ).
fof(f4751,plain,
( ~ sQ554_spl
| app(sk3,skaf45(sk4,sk3)) = sk4 ),
inference(component_clause,[status(thm)],[f4750]) ).
fof(f4753,plain,
( ~ sQ6_spl
| sQ554_spl
| ~ sQ19_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4722,f528,f590,f4750,f461]) ).
fof(f4754,definition,
! [X0] :
( sQ555_spl
<=> ( ~ ssList(X0)
| app(nil,skaf45(X0,nil)) = X0
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ555_spl])],[split_symbol_definition]) ).
fof(f4757,plain,
( sQ555_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4723,f508,f4754]) ).
fof(f4815,plain,
( ~ sQ554_spl
| ~ sQ273_spl
| segmentP(sk4,sk3)
| ~ ssList(skaf45(sk4,sk3)) ),
inference(paramodulation,[status(thm)],[f4751,f2389]) ).
fof(f4831,definition,
( sQ561_spl
<=> ssList(skaf45(sk4,sk3)) ),
introduced(definition,[new_symbols(definition,[sQ561_spl])],[split_symbol_definition]) ).
fof(f4833,plain,
( sQ561_spl
| ~ ssList(skaf45(sk4,sk3)) ),
inference(component_clause,[status(thm)],[f4831]) ).
fof(f4839,plain,
( ~ sQ554_spl
| ~ sQ273_spl
| sQ11_spl
| ~ sQ561_spl ),
inference(split_clause,[status(thm)],[f4815,f4831,f531,f2388,f4750]) ).
fof(f4876,plain,
( sQ561_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4833,f248]) ).
fof(f4877,plain,
sQ561_spl,
inference(contradiction_clause,[status(thm)],[f4876]) ).
fof(f4878,plain,
$false,
inference(sat_refutation,[status(thm)],[f453,f460,f464,f468,f469,f514,f517,f519,f537,f539,f545,f569,f571,f582,f600,f617,f628,f641,f645,f657,f698,f766,f816,f833,f886,f890,f894,f898,f913,f917,f919,f927,f931,f935,f939,f957,f961,f974,f978,f982,f986,f999,f1003,f1007,f1061,f1069,f1073,f1077,f1081,f1103,f1111,f1115,f1119,f1123,f1147,f1151,f1155,f1159,f1163,f1184,f1188,f1196,f1200,f1204,f1208,f1230,f1234,f1242,f1246,f1250,f1254,f1277,f1284,f1292,f1296,f1300,f1310,f1325,f1329,f1337,f1341,f1345,f1349,f1371,f1375,f1383,f1387,f1391,f1395,f1432,f1436,f1440,f1444,f1462,f1469,f1477,f1481,f1482,f1511,f1515,f1519,f1523,f1526,f1527,f1544,f1548,f1552,f1561,f1565,f1573,f1613,f1618,f1627,f1632,f1671,f1675,f1679,f1683,f1687,f1691,f1695,f1713,f1717,f1721,f1725,f1729,f1733,f1737,f1755,f1759,f1763,f1767,f1771,f1775,f1779,f1798,f1802,f1812,f1816,f1844,f1848,f1852,f1856,f1860,f1864,f1868,f1886,f1890,f1894,f1898,f1902,f1906,f1910,f1928,f1932,f1936,f1940,f1944,f1948,f1952,f1965,f1969,f1977,f1981,f1993,f2004,f2008,f2009,f2025,f2029,f2033,f2042,f2046,f2054,f2067,f2071,f2075,f2079,f2083,f2087,f2091,f2109,f2113,f2117,f2121,f2125,f2129,f2133,f2151,f2155,f2159,f2163,f2167,f2171,f2175,f2209,f2215,f2219,f2245,f2249,f2253,f2257,f2261,f2265,f2269,f2273,f2277,f2281,f2285,f2289,f2293,f2305,f2309,f2313,f2339,f2343,f2347,f2351,f2355,f2359,f2363,f2367,f2371,f2375,f2379,f2383,f2387,f2391,f2395,f2399,f2429,f2433,f2437,f2441,f2445,f2449,f2453,f2457,f2476,f2480,f2484,f2488,f2492,f2496,f2500,f2504,f2523,f2527,f2531,f2535,f2539,f2543,f2547,f2551,f2619,f2623,f2630,f2634,f2645,f2649,f2655,f2667,f2676,f2687,f2929,f2933,f2937,f2941,f2945,f2949,f2953,f2957,f2961,f2965,f2969,f2973,f2977,f2981,f2985,f2989,f2990,f2991,f2992,f3096,f3189,f3194,f3198,f3203,f3213,f3218,f3223,f3227,f3233,f3237,f3241,f3250,f3254,f3262,f3433,f3435,f3521,f3523,f3669,f3673,f3677,f3686,f3690,f3698,f3713,f3717,f3721,f3725,f3729,f3733,f3737,f3741,f3745,f3765,f3769,f3773,f3777,f3781,f3785,f3789,f3793,f3797,f3817,f3821,f3825,f3829,f3833,f3837,f3841,f3845,f3849,f4328,f4332,f4336,f4340,f4344,f4348,f4352,f4356,f4360,f4364,f4368,f4372,f4376,f4380,f4384,f4388,f4392,f4396,f4400,f4549,f4564,f4620,f4625,f4630,f4640,f4645,f4655,f4662,f4672,f4683,f4711,f4728,f4732,f4736,f4745,f4749,f4753,f4757,f4839,f4877]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC070-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n004.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 07:53:04 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.47 % Drodi V4.1.1
% 3.71/1.19 % Refutation found
% 3.71/1.19 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.71/1.19 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.22/1.24 % Elapsed time: 0.771190 seconds
% 1.22/1.24 % CPU time: 5.502395 seconds
% 1.22/1.24 % Total memory used: 158.089 MB
% 1.22/1.24 % Net memory used: 153.419 MB
%------------------------------------------------------------------------------