%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC058-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 02:39:47 PM UTC 2026
% Result : Unsatisfiable 10.62s 1.92s
% Output : CNFRefutation 8.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 965
% Syntax : Number of formulae : 3178 ( 115 unt; 905 def)
% Number of atoms : 15009 (1257 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 22775 (10944 ~;10926 |; 0 &)
% ( 905 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 914 ( 912 usr; 906 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 7 con; 0-2 aty)
% Number of variables : 4297 (4297 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [U] : ssList(skaf82(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [U] : ssList(skaf81(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(f50,axiom,
! [U,V] : ssList(skaf46(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(f79,axiom,
! [U] :
( segmentP(nil,U)
| ~ ssList(U)
| nil != U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f81,axiom,
! [U] :
( rearsegP(nil,U)
| ~ ssList(U)
| nil != U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f82,axiom,
! [U] :
( nil = U
| ~ ssList(U)
| ~ rearsegP(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(f99,axiom,
! [U,V] :
( ~ ssList(V)
| ~ ssItem(U)
| cons(U,V) != V ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f115,axiom,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| ~ neq(U,V)
| U != V ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f116,axiom,
! [U,V] :
( singletonP(V)
| ~ ssList(V)
| ~ ssItem(U)
| cons(U,nil) != V ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f127,axiom,
! [U,V] :
( V = U
| ~ ssList(V)
| ~ ssList(U)
| ~ segmentP(V,U)
| ~ segmentP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f128,axiom,
! [U,V] :
( V = U
| ~ ssList(V)
| ~ ssList(U)
| ~ rearsegP(V,U)
| ~ rearsegP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f129,axiom,
! [U,V] :
( V = U
| ~ ssList(V)
| ~ ssList(U)
| ~ frontsegP(V,U)
| ~ frontsegP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f131,axiom,
! [U,V] :
( app(skaf46(U,V),V) = U
| ~ ssList(U)
| ~ ssList(V)
| ~ rearsegP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f132,axiom,
! [U,V] :
( app(V,skaf45(U,V)) = U
| ~ ssList(U)
| ~ ssList(V)
| ~ frontsegP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f136,axiom,
! [U,V,W] :
( rearsegP(app(W,U),V)
| ~ ssList(U)
| ~ ssList(V)
| ~ ssList(W)
| ~ rearsegP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f137,axiom,
! [U,V,W] :
( frontsegP(app(U,W),V)
| ~ ssList(U)
| ~ ssList(V)
| ~ ssList(W)
| ~ frontsegP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f143,axiom,
! [U,V,W] :
( rearsegP(W,V)
| ~ ssList(W)
| ~ ssList(V)
| ~ ssList(U)
| app(U,V) != W ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f152,axiom,
! [U,V,W] :
( segmentP(U,W)
| ~ ssList(U)
| ~ ssList(V)
| ~ ssList(W)
| ~ segmentP(V,W)
| ~ segmentP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f153,axiom,
! [U,V,W] :
( rearsegP(U,W)
| ~ ssList(U)
| ~ ssList(V)
| ~ ssList(W)
| ~ rearsegP(V,W)
| ~ rearsegP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(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(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(f193,negated_conjecture,
! [A] :
( ~ segmentP(sk1,A)
| ~ segmentP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A)
| nil = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
( neq(sk3,nil)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f198,negated_conjecture,
( neq(sk3,nil)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f199,negated_conjecture,
( rearsegP(sk4,sk3)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f207,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f208,plain,
ssItem(skac3),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f209,plain,
ssItem(skac2),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f212,plain,
! [X0] : ssList(skaf82(X0)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f213,plain,
! [X0] : ssList(skaf81(X0)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f214,plain,
! [X0] : ssList(skaf80(X0)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f217,plain,
! [X0] : ssList(skaf77(X0)),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f218,plain,
! [X0] : ssList(skaf76(X0)),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f219,plain,
! [X0] : ssList(skaf75(X0)),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f221,plain,
! [X0] : ssList(skaf73(X0)),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f222,plain,
! [X0] : ssList(skaf72(X0)),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f223,plain,
! [X0] : ssList(skaf71(X0)),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f226,plain,
! [X0] : ssList(skaf68(X0)),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f227,plain,
! [X0] : ssList(skaf67(X0)),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f228,plain,
! [X0] : ssList(skaf66(X0)),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f231,plain,
! [X0] : ssList(skaf63(X0)),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f232,plain,
! [X0] : ssList(skaf62(X0)),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f233,plain,
! [X0] : ssList(skaf61(X0)),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f236,plain,
! [X0] : ssList(skaf58(X0)),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f237,plain,
! [X0] : ssList(skaf57(X0)),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f238,plain,
! [X0] : ssList(skaf56(X0)),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f241,plain,
! [X0] : ssList(skaf53(X0)),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f242,plain,
! [X0] : ssList(skaf52(X0)),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f243,plain,
! [X0] : ssList(skaf51(X0)),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f249,plain,
! [X0,X1] : ssList(skaf46(X0,X1)),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f255,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f256,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f257,plain,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f259,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f273,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f274,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f279,plain,
! [X0] :
( segmentP(nil,X0)
| ~ ssList(X0)
| nil != X0 ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f281,plain,
! [X0] :
( rearsegP(nil,X0)
| ~ ssList(X0)
| nil != X0 ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f282,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f285,plain,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f286,plain,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f300,plain,
! [V] :
( ~ ssList(V)
| ! [U] :
( ~ ssItem(U)
| cons(U,V) != V ) ),
inference(miniscoping,[status(thm)],[f99]) ).
fof(f301,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != X1 ),
inference(cnf_transformation,[status(thm)],[f300]) ).
fof(f320,plain,
! [U] :
( ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| ~ neq(U,V)
| U != V ) ),
inference(miniscoping,[status(thm)],[f115]) ).
fof(f321,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ neq(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f320]) ).
fof(f322,plain,
! [V] :
( singletonP(V)
| ~ ssList(V)
| ! [U] :
( ~ ssItem(U)
| cons(U,nil) != V ) ),
inference(miniscoping,[status(thm)],[f116]) ).
fof(f323,plain,
! [X0,X1] :
( singletonP(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,nil) != X1 ),
inference(cnf_transformation,[status(thm)],[f322]) ).
fof(f339,plain,
! [X0,X1] :
( X1 = X0
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f340,plain,
! [X0,X1] :
( X1 = X0
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f341,plain,
! [X0,X1] :
( X1 = X0
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f343,plain,
! [X0,X1] :
( app(skaf46(X0,X1),X1) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f344,plain,
! [X0,X1] :
( app(X1,skaf45(X0,X1)) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f132]) ).
fof(f350,plain,
! [X0,X1,X2] :
( rearsegP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f351,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,
! [V,W] :
( rearsegP(W,V)
| ~ ssList(W)
| ~ ssList(V)
| ! [U] :
( ~ ssList(U)
| app(U,V) != W ) ),
inference(miniscoping,[status(thm)],[f143]) ).
fof(f358,plain,
! [X0,X1,X2] :
( rearsegP(X2,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) != X2 ),
inference(cnf_transformation,[status(thm)],[f357]) ).
fof(f373,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(f374,plain,
! [X0,X1,X2] :
( segmentP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f375,plain,
! [U,W] :
( rearsegP(U,W)
| ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| ~ ssList(W)
| ~ rearsegP(V,W)
| ~ rearsegP(U,V) ) ),
inference(miniscoping,[status(thm)],[f153]) ).
fof(f376,plain,
! [X0,X1,X2] :
( rearsegP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f375]) ).
fof(f404,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(f405,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(f406,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)],[f405]) ).
fof(f432,plain,
ssList(sk3),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f433,plain,
ssList(sk4),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f434,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f435,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f437,plain,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil = sk2 ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f438,plain,
( neq(sk2,nil)
| nil != sk1 ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f440,plain,
( neq(sk3,nil)
| nil = sk4 ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f442,plain,
( neq(sk3,nil)
| nil = sk3 ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f443,plain,
( rearsegP(sk4,sk3)
| nil = sk3 ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f451,definition,
( sQ2_spl
<=> nil = sk2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f452,plain,
( ~ sQ2_spl
| nil = sk2 ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f453,plain,
( sQ2_spl
| nil != sk2 ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,definition,
( sQ3_spl
<=> neq(sk2,nil) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f455,plain,
( ~ sQ3_spl
| neq(sk2,nil) ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f458,definition,
! [X0] :
( sQ4_spl
<=> ( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f459,plain,
! [X0] :
( ~ sQ4_spl
| ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,plain,
( sQ4_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f437,f451,f458]) ).
fof(f462,definition,
( sQ5_spl
<=> nil = sk1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f464,plain,
( sQ5_spl
| nil != sk1 ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,plain,
( sQ3_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f438,f462,f454]) ).
fof(f467,definition,
( sQ6_spl
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( ~ sQ6_spl
| nil = sk4 ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,definition,
( sQ7_spl
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f473,plain,
( sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f440,f467,f470]) ).
fof(f474,definition,
( sQ8_spl
<=> rearsegP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f475,plain,
( ~ sQ8_spl
| rearsegP(sk4,sk3) ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f478,definition,
( sQ9_spl
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f479,plain,
( ~ sQ9_spl
| nil = sk3 ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f480,plain,
( sQ9_spl
| nil != sk3 ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f481,plain,
( sQ7_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f442,f478,f470]) ).
fof(f482,plain,
( sQ8_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f443,f478,f474]) ).
fof(f483,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(destructive_equality_resolution,[status(thm)],[f279]) ).
fof(f484,plain,
( rearsegP(nil,nil)
| ~ ssList(nil) ),
inference(destructive_equality_resolution,[status(thm)],[f281]) ).
fof(f490,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f321]) ).
fof(f491,plain,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f490]) ).
fof(f492,plain,
! [X0] :
( singletonP(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f323]) ).
fof(f497,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f358]) ).
fof(f501,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)],[f406]) ).
fof(f520,plain,
( ~ sQ2_spl
| nil = sk4 ),
inference(forward_demodulation,[status(thm)],[f434,f452]) ).
fof(f534,plain,
( ~ sQ3_spl
| neq(sk4,nil) ),
inference(forward_demodulation,[status(thm)],[f434,f455]) ).
fof(f535,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| neq(sk4,sk4) ),
inference(forward_demodulation,[status(thm)],[f520,f534]) ).
fof(f539,plain,
( sQ9_spl
| ~ sQ2_spl
| sk4 != sk3 ),
inference(forward_demodulation,[status(thm)],[f520,f480]) ).
fof(f541,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ ssList(sk4) ),
inference(resolution,[status(thm)],[f491,f535]) ).
fof(f542,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f541,f433]) ).
fof(f543,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f542]) ).
fof(f554,definition,
( sQ10_spl
<=> ssList(sk4) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f556,plain,
( sQ10_spl
| ~ ssList(sk4) ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f557,definition,
( sQ11_spl
<=> sk4 = sk4 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f562,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f556,f433]) ).
fof(f563,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f562]) ).
fof(f567,plain,
! [X0] :
( ~ sQ2_spl
| nil = X0
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(forward_demodulation,[status(thm)],[f520,f282]) ).
fof(f568,plain,
! [X0] :
( ~ sQ2_spl
| sk4 = X0
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(forward_demodulation,[status(thm)],[f520,f567]) ).
fof(f569,plain,
( ~ sQ8_spl
| ~ sQ2_spl
| sk4 = sk3
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f568,f475]) ).
fof(f572,definition,
( sQ12_spl
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f574,plain,
( sQ12_spl
| ~ ssList(sk3) ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f575,definition,
( sQ13_spl
<=> sk4 = sk3 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f576,plain,
( ~ sQ13_spl
| sk4 = sk3 ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,plain,
( ~ sQ8_spl
| ~ sQ2_spl
| sQ13_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f569,f572,f575,f451,f474]) ).
fof(f581,definition,
( sQ14_spl
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f583,plain,
( sQ14_spl
| ~ ssList(nil) ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f584,definition,
( sQ15_spl
<=> rearsegP(nil,nil) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f585,plain,
( ~ sQ15_spl
| rearsegP(nil,nil) ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f587,plain,
( sQ15_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f484,f581,f584]) ).
fof(f588,definition,
( sQ16_spl
<=> segmentP(nil,nil) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f589,plain,
( ~ sQ16_spl
| segmentP(nil,nil) ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f591,plain,
( sQ16_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f483,f581,f588]) ).
fof(f592,plain,
! [X0] :
( ~ sQ4_spl
| ~ segmentP(sk1,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f434,f459]) ).
fof(f593,plain,
! [X0] :
( ~ sQ4_spl
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f435,f592]) ).
fof(f594,plain,
( sQ2_spl
| nil != sk4 ),
inference(forward_demodulation,[status(thm)],[f434,f453]) ).
fof(f599,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f574,f432]) ).
fof(f600,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f599]) ).
fof(f601,plain,
( sQ5_spl
| nil != sk3 ),
inference(forward_demodulation,[status(thm)],[f435,f464]) ).
fof(f602,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f583,f207]) ).
fof(f603,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f602]) ).
fof(f620,plain,
( ~ sQ13_spl
| sQ9_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f576,f539]) ).
fof(f621,plain,
( ~ sQ13_spl
| sQ9_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f620]) ).
fof(f624,definition,
( sQ17_spl
<=> nil = nil ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f630,plain,
! [X0] :
( ~ ssList(X0)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(nil)
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f340,f257]) ).
fof(f637,definition,
! [X0] :
( sQ19_spl
<=> ( ~ ssList(X0)
| X0 = nil
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f640,plain,
( ~ sQ14_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f630,f637,f581]) ).
fof(f642,plain,
( ~ sQ4_spl
| ~ ssList(sk3)
| ~ segmentP(sk4,sk3)
| ~ neq(sk3,nil)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f593,f256]) ).
fof(f643,definition,
( sQ20_spl
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f645,plain,
( sQ20_spl
| ~ segmentP(sk4,sk3) ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f646,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| ~ sQ7_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f642,f572,f470,f643,f458]) ).
fof(f647,plain,
( ~ sQ6_spl
| sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f468,f594]) ).
fof(f648,plain,
( ~ sQ6_spl
| sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f647]) ).
fof(f650,plain,
( sQ5_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f601,f478,f462]) ).
fof(f651,plain,
! [X0] :
( X0 = nil
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(nil,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f255,f339]) ).
fof(f652,definition,
! [X0] :
( sQ21_spl
<=> ( X0 = nil
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f655,plain,
( ~ sQ14_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f651,f652,f581]) ).
fof(f669,plain,
! [X0,X1,X2] :
( app(X2,X0) = X1
| ~ ssList(app(X2,X0))
| ~ ssList(X1)
| ~ rearsegP(X1,app(X2,X0))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f350,f340]) ).
fof(f670,plain,
! [X0,X1,X2] :
( app(X2,X0) = X1
| ~ ssList(app(X2,X0))
| ~ rearsegP(X1,app(X2,X0))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f669]) ).
fof(f676,definition,
( sQ23_spl
<=> segmentP(sk4,nil) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f677,plain,
( ~ sQ23_spl
| segmentP(sk4,nil) ),
inference(component_clause,[status(thm)],[f676]) ).
fof(f678,plain,
( sQ23_spl
| ~ segmentP(sk4,nil) ),
inference(component_clause,[status(thm)],[f676]) ).
fof(f688,plain,
( sQ23_spl
| ~ ssList(sk4) ),
inference(resolution,[status(thm)],[f678,f255]) ).
fof(f689,plain,
( sQ23_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f688,f554,f676]) ).
fof(f699,plain,
! [X0] :
( ~ sQ23_spl
| segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(nil)
| ~ segmentP(X0,sk4) ),
inference(resolution,[status(thm)],[f374,f677]) ).
fof(f700,plain,
! [X0] :
( ~ sQ16_spl
| segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ segmentP(X0,nil) ),
inference(resolution,[status(thm)],[f374,f589]) ).
fof(f701,plain,
! [X0,X1] :
( ~ ssList(X1)
| segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ segmentP(X0,X1) ),
inference(resolution,[status(thm)],[f374,f255]) ).
fof(f703,definition,
! [X0] :
( sQ26_spl
<=> ( segmentP(X0,nil)
| ~ ssList(X0)
| ~ segmentP(X0,sk4) ) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f706,plain,
( ~ sQ23_spl
| ~ sQ10_spl
| ~ sQ14_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f699,f703,f581,f554,f676]) ).
fof(f707,definition,
! [X0] :
( sQ27_spl
<=> ( segmentP(X0,nil)
| ~ ssList(X0)
| ~ segmentP(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f710,plain,
( ~ sQ16_spl
| ~ sQ14_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f700,f707,f581,f588]) ).
fof(f711,definition,
! [X0,X1] :
( sQ28_spl
<=> ( ~ ssList(X1)
| segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f714,plain,
( ~ sQ14_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f701,f711,f581]) ).
fof(f716,plain,
! [X0,X1] :
( nil = X1
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f376,f282]) ).
fof(f718,plain,
! [X0,X1,X2] :
( X0 = X2
| ~ ssList(X0)
| ~ ssList(X2)
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f376,f340]) ).
fof(f719,definition,
! [X0,X1] :
( sQ29_spl
<=> ( nil = X1
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f720,plain,
! [X0,X1] :
( ~ sQ29_spl
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ rearsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f719]) ).
fof(f722,plain,
( ~ sQ14_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f716,f719,f581]) ).
fof(f727,plain,
! [X0,X1,X2] :
( X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f718]) ).
fof(f728,plain,
! [X0,X1] :
( ~ sQ29_spl
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ rearsegP(nil,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f720]) ).
fof(f739,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)],[f404,f374]) ).
fof(f740,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)],[f404,f339]) ).
fof(f741,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)],[f739]) ).
fof(f742,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)],[f740]) ).
fof(f794,plain,
! [X0,X1,X2] :
( ~ sQ29_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f728,f376]) ).
fof(f796,definition,
! [X0] :
( sQ37_spl
<=> ( nil = X0
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f801,definition,
! [X0,X1,X2] :
( sQ38_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f802,plain,
! [X0,X1,X2] :
( ~ sQ38_spl
| ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,plain,
( ~ sQ29_spl
| ~ sQ14_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f794,f801,f581,f719]) ).
fof(f806,plain,
! [X0,X1,X2] :
( ~ sQ38_spl
| ~ ssList(X2)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f802]) ).
fof(f822,plain,
! [X0,X1,X2,X3] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ rearsegP(X2,X3)
| X0 = X3
| ~ rearsegP(X3,X0)
| ~ ssList(X0)
| ~ ssList(app(X1,X2))
| ~ ssList(X3)
| ~ rearsegP(X0,app(X1,X2)) ),
inference(resolution,[status(thm)],[f727,f350]) ).
fof(f823,plain,
( ~ sQ15_spl
| nil = nil
| ~ ssList(nil)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ rearsegP(nil,nil) ),
inference(resolution,[status(thm)],[f727,f585]) ).
fof(f826,plain,
! [X0,X1] :
( ~ ssList(X1)
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f727,f257]) ).
fof(f828,plain,
! [X0,X1,X2,X3] :
( ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ rearsegP(X3,X2)
| ~ rearsegP(X1,X3)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f727,f376]) ).
fof(f832,plain,
! [X0,X1,X2,X3] :
( ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ rearsegP(X3,X0)
| X0 = app(X2,X3)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X2,X3))
| ~ rearsegP(X1,app(X2,X3))
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f727,f350]) ).
fof(f835,plain,
! [X0,X1,X2,X3] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ rearsegP(X3,X0)
| ~ rearsegP(X2,X3)
| X0 = X2
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f727,f376]) ).
fof(f841,plain,
! [X0,X1,X2,X3] :
( ~ ssList(X2)
| ~ ssList(X1)
| ~ rearsegP(X2,X3)
| X0 = X3
| ~ rearsegP(X3,X0)
| ~ ssList(X0)
| ~ ssList(app(X1,X2))
| ~ ssList(X3)
| ~ rearsegP(X0,app(X1,X2)) ),
inference(duplicate_literals_removal,[status(thm)],[f822]) ).
fof(f842,plain,
( sQ17_spl
| ~ sQ14_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f823,f584,f581,f624]) ).
fof(f843,definition,
! [X0] :
( sQ42_spl
<=> ( X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ rearsegP(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f848,definition,
! [X0,X1] :
( sQ43_spl
<=> ( ~ ssList(X1)
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f851,plain,
( ~ sQ14_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f826,f848,f581]) ).
fof(f852,plain,
! [X0,X1,X2,X3] :
( ~ ssList(X3)
| ~ rearsegP(X3,X2)
| ~ rearsegP(X1,X3)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f828]) ).
fof(f855,plain,
! [X0,X1,X2,X3] :
( ~ ssList(X3)
| ~ ssList(X2)
| ~ rearsegP(X3,X0)
| X0 = app(X2,X3)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X2,X3))
| ~ rearsegP(X1,app(X2,X3))
| ~ rearsegP(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f832]) ).
fof(f861,plain,
! [X0,X1,X2,X3] :
( ~ ssList(X3)
| ~ rearsegP(X3,X0)
| ~ rearsegP(X2,X3)
| X0 = X2
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f835]) ).
fof(f864,plain,
! [X0,X1] :
( ~ sQ38_spl
| ~ ssList(nil)
| ~ ssList(nil)
| ~ rearsegP(nil,X0)
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f806,f257]) ).
fof(f865,plain,
! [X0,X1,X2,X3] :
( ~ sQ38_spl
| ~ ssList(nil)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ rearsegP(X3,X2)
| ~ rearsegP(nil,X3)
| ~ ssList(X2)
| ~ rearsegP(X2,X0)
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f806,f376]) ).
fof(f867,definition,
! [X0,X1] :
( sQ45_spl
<=> ( ~ rearsegP(nil,X0)
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f871,plain,
( ~ sQ38_spl
| ~ sQ14_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f864,f867,f581,f801]) ).
fof(f872,definition,
! [X0,X1,X2,X3] :
( sQ46_spl
<=> ( ~ ssList(X3)
| ~ ssList(X2)
| ~ rearsegP(X3,X2)
| ~ rearsegP(nil,X3)
| ~ ssList(X2)
| ~ rearsegP(X2,X0)
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f875,plain,
( ~ sQ38_spl
| ~ sQ14_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f865,f872,f581,f801]) ).
fof(f914,plain,
! [X0,X1,X2] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X2,X1)
| ~ rearsegP(X0,X2)
| nil = X1
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f852,f257]) ).
fof(f923,plain,
! [X0,X1] :
( ~ sQ15_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X1)
| X0 = X1
| ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(X0,nil) ),
inference(resolution,[status(thm)],[f852,f585]) ).
fof(f924,plain,
! [X0] :
( ~ ssList(nil)
| ~ ssList(nil)
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ rearsegP(X0,nil) ),
inference(resolution,[status(thm)],[f852,f257]) ).
fof(f925,plain,
! [X0,X1,X2] :
( ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f852,f257]) ).
fof(f932,plain,
! [X0,X1] :
( ~ sQ15_spl
| ~ ssList(nil)
| ~ rearsegP(X1,nil)
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f852,f585]) ).
fof(f933,plain,
! [X0,X1,X2] :
( ~ ssList(X2)
| ~ ssList(X2)
| ~ rearsegP(X1,X2)
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f852,f257]) ).
fof(f945,definition,
! [X0,X1,X2] :
( sQ53_spl
<=> ( ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X2,X1)
| ~ rearsegP(X0,X2)
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f948,plain,
( ~ sQ14_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f914,f945,f581]) ).
fof(f957,definition,
! [X0,X1] :
( sQ55_spl
<=> ( ~ rearsegP(nil,X1)
| X0 = X1
| ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f958,plain,
! [X0,X1] :
( ~ sQ55_spl
| ~ rearsegP(nil,X1)
| X0 = X1
| ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,nil) ),
inference(component_clause,[status(thm)],[f957]) ).
fof(f960,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f923,f957,f581,f584]) ).
fof(f961,plain,
( ~ sQ14_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f924,f843,f581]) ).
fof(f962,definition,
! [X0,X1,X2] :
( sQ56_spl
<=> ( ~ ssList(X1)
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f965,plain,
( ~ sQ14_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f925,f962,f581]) ).
fof(f975,definition,
! [X0,X1] :
( sQ58_spl
<=> ( ~ rearsegP(X1,nil)
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f978,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f932,f975,f581,f584]) ).
fof(f979,definition,
! [X0,X1,X2] :
( sQ59_spl
<=> ( ~ ssList(X2)
| ~ ssList(X2)
| ~ rearsegP(X1,X2)
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f982,plain,
( ~ sQ14_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f933,f979,f581]) ).
fof(f985,plain,
! [X0,X1] :
( ~ sQ55_spl
| ~ rearsegP(nil,X0)
| X1 = X0
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f958,f257]) ).
fof(f989,plain,
app(sk3,nil) = sk3,
inference(resolution,[status(thm)],[f273,f432]) ).
fof(f996,plain,
! [X0] : app(skaf51(X0),nil) = skaf51(X0),
inference(resolution,[status(thm)],[f273,f243]) ).
fof(f997,plain,
! [X0] : app(skaf52(X0),nil) = skaf52(X0),
inference(resolution,[status(thm)],[f273,f242]) ).
fof(f998,plain,
! [X0] : app(skaf53(X0),nil) = skaf53(X0),
inference(resolution,[status(thm)],[f273,f241]) ).
fof(f999,plain,
! [X0] : app(skaf56(X0),nil) = skaf56(X0),
inference(resolution,[status(thm)],[f273,f238]) ).
fof(f1000,plain,
! [X0] : app(skaf57(X0),nil) = skaf57(X0),
inference(resolution,[status(thm)],[f273,f237]) ).
fof(f1001,plain,
! [X0] : app(skaf58(X0),nil) = skaf58(X0),
inference(resolution,[status(thm)],[f273,f236]) ).
fof(f1002,plain,
! [X0] : app(skaf61(X0),nil) = skaf61(X0),
inference(resolution,[status(thm)],[f273,f233]) ).
fof(f1003,plain,
! [X0] : app(skaf62(X0),nil) = skaf62(X0),
inference(resolution,[status(thm)],[f273,f232]) ).
fof(f1004,plain,
app(nil,nil) = nil,
inference(resolution,[status(thm)],[f273,f207]) ).
fof(f1005,plain,
! [X0] : app(skaf63(X0),nil) = skaf63(X0),
inference(resolution,[status(thm)],[f273,f231]) ).
fof(f1006,plain,
! [X0] : app(skaf66(X0),nil) = skaf66(X0),
inference(resolution,[status(thm)],[f273,f228]) ).
fof(f1007,plain,
! [X0] : app(skaf67(X0),nil) = skaf67(X0),
inference(resolution,[status(thm)],[f273,f227]) ).
fof(f1008,plain,
! [X0] : app(skaf68(X0),nil) = skaf68(X0),
inference(resolution,[status(thm)],[f273,f226]) ).
fof(f1009,plain,
! [X0] : app(skaf71(X0),nil) = skaf71(X0),
inference(resolution,[status(thm)],[f273,f223]) ).
fof(f1010,plain,
! [X0] : app(skaf72(X0),nil) = skaf72(X0),
inference(resolution,[status(thm)],[f273,f222]) ).
fof(f1011,plain,
! [X0] : app(skaf73(X0),nil) = skaf73(X0),
inference(resolution,[status(thm)],[f273,f221]) ).
fof(f1012,plain,
! [X0] : app(skaf75(X0),nil) = skaf75(X0),
inference(resolution,[status(thm)],[f273,f219]) ).
fof(f1013,plain,
! [X0] : app(skaf76(X0),nil) = skaf76(X0),
inference(resolution,[status(thm)],[f273,f218]) ).
fof(f1014,plain,
! [X0] : app(skaf77(X0),nil) = skaf77(X0),
inference(resolution,[status(thm)],[f273,f217]) ).
fof(f1015,plain,
! [X0] : app(skaf80(X0),nil) = skaf80(X0),
inference(resolution,[status(thm)],[f273,f214]) ).
fof(f1016,plain,
! [X0] : app(skaf81(X0),nil) = skaf81(X0),
inference(resolution,[status(thm)],[f273,f213]) ).
fof(f1017,plain,
! [X0] : app(skaf82(X0),nil) = skaf82(X0),
inference(resolution,[status(thm)],[f273,f212]) ).
fof(f1018,plain,
app(sk4,nil) = sk4,
inference(resolution,[status(thm)],[f273,f433]) ).
fof(f1019,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)],[f989,f741]) ).
fof(f1020,plain,
! [X0] :
( app(sk3,nil) = X0
| ~ ssList(sk3)
| ~ rearsegP(X0,app(sk3,nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f989,f670]) ).
fof(f1022,plain,
! [X0] :
( segmentP(app(app(sk3,nil),X0),nil)
| ~ ssList(app(sk3,X0))
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f989,f501]) ).
fof(f1023,plain,
! [X0,X1] :
( segmentP(app(sk3,X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f989,f404]) ).
fof(f1024,plain,
( rearsegP(app(sk3,nil),nil)
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ ssList(sk3) ),
inference(paramodulation,[status(thm)],[f989,f497]) ).
fof(f1026,definition,
! [X0,X1,X2] :
( sQ60_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,[sQ60_spl])],[split_symbol_definition]) ).
fof(f1027,plain,
! [X0,X1,X2] :
( ~ sQ60_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)],[f1026]) ).
fof(f1029,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f1019,f1026,f572,f581]) ).
fof(f1030,definition,
! [X0] :
( sQ61_spl
<=> ( app(sk3,nil) = X0
| ~ rearsegP(X0,app(sk3,nil))
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f1033,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f1020,f1030,f572,f581]) ).
fof(f1038,definition,
! [X0] :
( sQ63_spl
<=> ( segmentP(app(app(sk3,nil),X0),nil)
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f1041,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f1022,f1038,f572,f581]) ).
fof(f1042,definition,
! [X0,X1] :
( sQ64_spl
<=> ( segmentP(app(sk3,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1043,plain,
! [X0,X1] :
( ~ sQ64_spl
| segmentP(app(sk3,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(component_clause,[status(thm)],[f1042]) ).
fof(f1045,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f1023,f1042,f572,f581]) ).
fof(f1046,definition,
( sQ65_spl
<=> rearsegP(app(sk3,nil),nil) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f1047,plain,
( ~ sQ65_spl
| rearsegP(app(sk3,nil),nil) ),
inference(component_clause,[status(thm)],[f1046]) ).
fof(f1049,plain,
( sQ65_spl
| ~ sQ14_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1024,f572,f581,f1046]) ).
fof(f1050,definition,
! [X0] :
( sQ66_spl
<=> ( rearsegP(sk3,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f1051,plain,
! [X0] :
( ~ sQ66_spl
| rearsegP(sk3,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f1050]) ).
fof(f1054,plain,
! [X0,X1,X2] :
( ~ sQ60_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)],[f989,f1027]) ).
fof(f1058,plain,
( ~ sQ65_spl
| rearsegP(sk3,nil) ),
inference(forward_demodulation,[status(thm)],[f989,f1047]) ).
fof(f1062,plain,
! [X0,X1] :
( ~ sQ65_spl
| ~ ssList(sk3)
| ~ rearsegP(X1,sk3)
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f1058,f852]) ).
fof(f1063,plain,
( ~ sQ65_spl
| ~ ssList(nil)
| ~ rearsegP(nil,sk3)
| nil = sk3
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ rearsegP(nil,sk3) ),
inference(resolution,[status(thm)],[f1058,f852]) ).
fof(f1064,plain,
! [X0,X1] :
( ~ sQ65_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X1)
| X0 = X1
| ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ rearsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f1058,f852]) ).
fof(f1068,plain,
! [X0] :
( ~ sQ65_spl
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ rearsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f1058,f727]) ).
fof(f1073,definition,
! [X0,X1] :
( sQ67_spl
<=> ( ~ rearsegP(X1,sk3)
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f1076,plain,
( ~ sQ65_spl
| ~ sQ12_spl
| ~ sQ14_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f1062,f1073,f581,f572,f1046]) ).
fof(f1077,definition,
( sQ68_spl
<=> rearsegP(nil,sk3) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f1079,plain,
( sQ68_spl
| ~ rearsegP(nil,sk3) ),
inference(component_clause,[status(thm)],[f1077]) ).
fof(f1080,plain,
( ~ sQ65_spl
| sQ9_spl
| ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f1063,f1077,f572,f581,f478,f1046]) ).
fof(f1081,definition,
! [X0,X1] :
( sQ69_spl
<=> ( ~ rearsegP(nil,X1)
| X0 = X1
| ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f1084,plain,
( ~ sQ65_spl
| ~ sQ14_spl
| ~ sQ12_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f1064,f1081,f572,f581,f1046]) ).
fof(f1090,definition,
! [X0] :
( sQ71_spl
<=> ( ~ ssList(X0)
| ~ rearsegP(X0,sk3)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f1091,plain,
! [X0] :
( ~ sQ71_spl
| ~ ssList(X0)
| ~ rearsegP(X0,sk3)
| ~ rearsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f1090]) ).
fof(f1094,definition,
! [X0] :
( sQ72_spl
<=> ( X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ rearsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1097,plain,
( ~ sQ65_spl
| ~ sQ12_spl
| ~ sQ14_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f1068,f1094,f581,f572,f1046]) ).
fof(f1099,plain,
! [X0] :
( sQ68_spl
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ rearsegP(X0,sk3)
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f1079,f376]) ).
fof(f1100,plain,
( sQ68_spl
| ~ sQ14_spl
| ~ sQ12_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f1099,f1090,f572,f581,f1077]) ).
fof(f1101,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)],[f1004,f741]) ).
fof(f1102,plain,
! [X0] :
( app(nil,nil) = X0
| ~ ssList(nil)
| ~ rearsegP(X0,app(nil,nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1004,f670]) ).
fof(f1104,plain,
! [X0] :
( segmentP(app(app(nil,nil),X0),nil)
| ~ ssList(app(nil,X0))
| ~ ssList(nil)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1004,f501]) ).
fof(f1105,plain,
! [X0,X1] :
( segmentP(app(nil,X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1004,f404]) ).
fof(f1106,plain,
( rearsegP(app(nil,nil),nil)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1004,f497]) ).
fof(f1107,plain,
! [X0] :
( rearsegP(nil,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1004,f350]) ).
fof(f1108,definition,
! [X0,X1,X2] :
( sQ73_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,[sQ73_spl])],[split_symbol_definition]) ).
fof(f1109,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(nil,X1))
| ~ segmentP(X2,app(app(nil,nil),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(component_clause,[status(thm)],[f1108]) ).
fof(f1111,plain,
( ~ sQ14_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f1101,f1108,f581]) ).
fof(f1112,definition,
! [X0] :
( sQ74_spl
<=> ( app(nil,nil) = X0
| ~ rearsegP(X0,app(nil,nil))
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f1115,plain,
( ~ sQ14_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f1102,f1112,f581]) ).
fof(f1120,definition,
! [X0] :
( sQ76_spl
<=> ( segmentP(app(app(nil,nil),X0),nil)
| ~ ssList(app(nil,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1123,plain,
( ~ sQ14_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f1104,f1120,f581]) ).
fof(f1124,definition,
! [X0,X1] :
( sQ77_spl
<=> ( segmentP(app(nil,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f1125,plain,
! [X0,X1] :
( ~ sQ77_spl
| segmentP(app(nil,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(component_clause,[status(thm)],[f1124]) ).
fof(f1127,plain,
( ~ sQ14_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f1105,f1124,f581]) ).
fof(f1128,definition,
( sQ78_spl
<=> rearsegP(app(nil,nil),nil) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f1131,plain,
( sQ78_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1106,f581,f1128]) ).
fof(f1132,definition,
! [X0] :
( sQ79_spl
<=> ( rearsegP(nil,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1135,plain,
( ~ sQ14_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f1107,f1132,f581]) ).
fof(f1136,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(nil,X1))
| ~ segmentP(X2,app(nil,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_demodulation,[status(thm)],[f1004,f1109]) ).
fof(f1141,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)],[f1018,f741]) ).
fof(f1142,plain,
! [X0] :
( app(sk4,nil) = X0
| ~ ssList(sk4)
| ~ rearsegP(X0,app(sk4,nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1018,f670]) ).
fof(f1144,plain,
! [X0] :
( segmentP(app(app(sk4,nil),X0),nil)
| ~ ssList(app(sk4,X0))
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1018,f501]) ).
fof(f1145,plain,
! [X0,X1] :
( segmentP(app(sk4,X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1018,f404]) ).
fof(f1146,plain,
( rearsegP(app(sk4,nil),nil)
| ~ ssList(sk4)
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(paramodulation,[status(thm)],[f1018,f497]) ).
fof(f1148,definition,
! [X0,X1,X2] :
( sQ80_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,[sQ80_spl])],[split_symbol_definition]) ).
fof(f1149,plain,
! [X0,X1,X2] :
( ~ sQ80_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)],[f1148]) ).
fof(f1151,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f1141,f1148,f554,f581]) ).
fof(f1152,definition,
! [X0] :
( sQ81_spl
<=> ( app(sk4,nil) = X0
| ~ rearsegP(X0,app(sk4,nil))
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1155,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f1142,f1152,f554,f581]) ).
fof(f1160,definition,
! [X0] :
( sQ83_spl
<=> ( segmentP(app(app(sk4,nil),X0),nil)
| ~ ssList(app(sk4,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1163,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f1144,f1160,f554,f581]) ).
fof(f1164,definition,
! [X0,X1] :
( sQ84_spl
<=> ( segmentP(app(sk4,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f1165,plain,
! [X0,X1] :
( ~ sQ84_spl
| segmentP(app(sk4,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(component_clause,[status(thm)],[f1164]) ).
fof(f1167,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f1145,f1164,f554,f581]) ).
fof(f1168,definition,
( sQ85_spl
<=> rearsegP(app(sk4,nil),nil) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1169,plain,
( ~ sQ85_spl
| rearsegP(app(sk4,nil),nil) ),
inference(component_clause,[status(thm)],[f1168]) ).
fof(f1171,plain,
( sQ85_spl
| ~ sQ14_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1146,f554,f581,f1168]) ).
fof(f1172,definition,
! [X0] :
( sQ86_spl
<=> ( rearsegP(sk4,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1173,plain,
! [X0] :
( ~ sQ86_spl
| rearsegP(sk4,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f1172]) ).
fof(f1176,plain,
! [X0,X1,X2] :
( ~ sQ80_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)],[f1018,f1149]) ).
fof(f1180,plain,
( ~ sQ85_spl
| rearsegP(sk4,nil) ),
inference(forward_demodulation,[status(thm)],[f1018,f1169]) ).
fof(f1181,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ ssList(sk4)
| ~ rearsegP(X1,sk4)
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f1180,f852]) ).
fof(f1183,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X1)
| X0 = X1
| ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ rearsegP(X0,sk4) ),
inference(resolution,[status(thm)],[f1180,f852]) ).
fof(f1187,plain,
! [X0] :
( ~ sQ85_spl
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(nil)
| ~ rearsegP(X0,sk4) ),
inference(resolution,[status(thm)],[f1180,f727]) ).
fof(f1189,definition,
! [X0,X1] :
( sQ87_spl
<=> ( ~ rearsegP(X1,sk4)
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1192,plain,
( ~ sQ85_spl
| ~ sQ10_spl
| ~ sQ14_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f1181,f1189,f581,f554,f1168]) ).
fof(f1194,definition,
! [X0,X1] :
( sQ88_spl
<=> ( ~ rearsegP(nil,X1)
| X0 = X1
| ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,sk4) ) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1197,plain,
( ~ sQ85_spl
| ~ sQ14_spl
| ~ sQ10_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f1183,f1194,f554,f581,f1168]) ).
fof(f1201,definition,
! [X0] :
( sQ89_spl
<=> ( X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ rearsegP(X0,sk4) ) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1204,plain,
( ~ sQ85_spl
| ~ sQ10_spl
| ~ sQ14_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f1187,f1201,f581,f554,f1168]) ).
fof(f1206,plain,
app(nil,sk3) = sk3,
inference(resolution,[status(thm)],[f274,f432]) ).
fof(f1213,plain,
! [X0] : app(nil,skaf51(X0)) = skaf51(X0),
inference(resolution,[status(thm)],[f274,f243]) ).
fof(f1214,plain,
! [X0] : app(nil,skaf52(X0)) = skaf52(X0),
inference(resolution,[status(thm)],[f274,f242]) ).
fof(f1215,plain,
! [X0] : app(nil,skaf53(X0)) = skaf53(X0),
inference(resolution,[status(thm)],[f274,f241]) ).
fof(f1216,plain,
! [X0] : app(nil,skaf56(X0)) = skaf56(X0),
inference(resolution,[status(thm)],[f274,f238]) ).
fof(f1217,plain,
! [X0] : app(nil,skaf57(X0)) = skaf57(X0),
inference(resolution,[status(thm)],[f274,f237]) ).
fof(f1218,plain,
! [X0] : app(nil,skaf58(X0)) = skaf58(X0),
inference(resolution,[status(thm)],[f274,f236]) ).
fof(f1219,plain,
! [X0] : app(nil,skaf61(X0)) = skaf61(X0),
inference(resolution,[status(thm)],[f274,f233]) ).
fof(f1220,plain,
! [X0] : app(nil,skaf62(X0)) = skaf62(X0),
inference(resolution,[status(thm)],[f274,f232]) ).
fof(f1222,plain,
! [X0] : app(nil,skaf63(X0)) = skaf63(X0),
inference(resolution,[status(thm)],[f274,f231]) ).
fof(f1223,plain,
! [X0] : app(nil,skaf66(X0)) = skaf66(X0),
inference(resolution,[status(thm)],[f274,f228]) ).
fof(f1224,plain,
! [X0] : app(nil,skaf67(X0)) = skaf67(X0),
inference(resolution,[status(thm)],[f274,f227]) ).
fof(f1225,plain,
! [X0] : app(nil,skaf68(X0)) = skaf68(X0),
inference(resolution,[status(thm)],[f274,f226]) ).
fof(f1226,plain,
! [X0] : app(nil,skaf71(X0)) = skaf71(X0),
inference(resolution,[status(thm)],[f274,f223]) ).
fof(f1227,plain,
! [X0] : app(nil,skaf72(X0)) = skaf72(X0),
inference(resolution,[status(thm)],[f274,f222]) ).
fof(f1228,plain,
! [X0] : app(nil,skaf73(X0)) = skaf73(X0),
inference(resolution,[status(thm)],[f274,f221]) ).
fof(f1229,plain,
! [X0] : app(nil,skaf75(X0)) = skaf75(X0),
inference(resolution,[status(thm)],[f274,f219]) ).
fof(f1230,plain,
! [X0] : app(nil,skaf76(X0)) = skaf76(X0),
inference(resolution,[status(thm)],[f274,f218]) ).
fof(f1231,plain,
! [X0] : app(nil,skaf77(X0)) = skaf77(X0),
inference(resolution,[status(thm)],[f274,f217]) ).
fof(f1232,plain,
! [X0] : app(nil,skaf80(X0)) = skaf80(X0),
inference(resolution,[status(thm)],[f274,f214]) ).
fof(f1233,plain,
! [X0] : app(nil,skaf81(X0)) = skaf81(X0),
inference(resolution,[status(thm)],[f274,f213]) ).
fof(f1234,plain,
! [X0] : app(nil,skaf82(X0)) = skaf82(X0),
inference(resolution,[status(thm)],[f274,f212]) ).
fof(f1235,plain,
app(nil,sk4) = sk4,
inference(resolution,[status(thm)],[f274,f433]) ).
fof(f1236,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)],[f1206,f741]) ).
fof(f1237,plain,
! [X0] :
( app(nil,sk3) = X0
| ~ ssList(sk3)
| ~ rearsegP(X0,app(nil,sk3))
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ rearsegP(sk3,X0) ),
inference(paramodulation,[status(thm)],[f1206,f670]) ).
fof(f1239,plain,
! [X0] :
( segmentP(app(app(nil,sk3),X0),sk3)
| ~ ssList(app(sk3,X0))
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1206,f501]) ).
fof(f1240,plain,
! [X0,X1] :
( segmentP(app(sk3,X1),X0)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ segmentP(sk3,X0) ),
inference(paramodulation,[status(thm)],[f1206,f404]) ).
fof(f1241,plain,
( rearsegP(app(nil,sk3),sk3)
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1206,f497]) ).
fof(f1243,definition,
! [X0,X1,X2] :
( sQ90_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,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1244,plain,
! [X0,X1,X2] :
( ~ sQ90_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)],[f1243]) ).
fof(f1246,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f1236,f1243,f581,f572]) ).
fof(f1247,definition,
! [X0] :
( sQ91_spl
<=> ( app(nil,sk3) = X0
| ~ rearsegP(X0,app(nil,sk3))
| ~ ssList(X0)
| ~ rearsegP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1248,plain,
! [X0] :
( ~ sQ91_spl
| app(nil,sk3) = X0
| ~ rearsegP(X0,app(nil,sk3))
| ~ ssList(X0)
| ~ rearsegP(sk3,X0) ),
inference(component_clause,[status(thm)],[f1247]) ).
fof(f1250,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f1237,f1247,f581,f572]) ).
fof(f1255,definition,
! [X0] :
( sQ93_spl
<=> ( segmentP(app(app(nil,sk3),X0),sk3)
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1256,plain,
! [X0] :
( ~ sQ93_spl
| segmentP(app(app(nil,sk3),X0),sk3)
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f1255]) ).
fof(f1258,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f1239,f1255,f581,f572]) ).
fof(f1259,definition,
! [X0,X1] :
( sQ94_spl
<=> ( segmentP(app(sk3,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1260,plain,
! [X0,X1] :
( ~ sQ94_spl
| segmentP(app(sk3,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk3,X0) ),
inference(component_clause,[status(thm)],[f1259]) ).
fof(f1262,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f1240,f1259,f581,f572]) ).
fof(f1263,definition,
( sQ95_spl
<=> rearsegP(app(nil,sk3),sk3) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1264,plain,
( ~ sQ95_spl
| rearsegP(app(nil,sk3),sk3) ),
inference(component_clause,[status(thm)],[f1263]) ).
fof(f1266,plain,
( sQ95_spl
| ~ sQ12_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1241,f581,f572,f1263]) ).
fof(f1267,definition,
! [X0] :
( sQ96_spl
<=> ( rearsegP(sk3,X0)
| ~ ssList(X0)
| ~ rearsegP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1271,plain,
! [X0,X1,X2] :
( ~ sQ90_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)],[f1206,f1244]) ).
fof(f1272,plain,
! [X0] :
( ~ sQ91_spl
| app(nil,sk3) = X0
| ~ rearsegP(X0,sk3)
| ~ ssList(X0)
| ~ rearsegP(sk3,X0) ),
inference(forward_demodulation,[status(thm)],[f1206,f1248]) ).
fof(f1273,plain,
! [X0] :
( ~ sQ91_spl
| sk3 = X0
| ~ rearsegP(X0,sk3)
| ~ ssList(X0)
| ~ rearsegP(sk3,X0) ),
inference(forward_demodulation,[status(thm)],[f1206,f1272]) ).
fof(f1274,plain,
! [X0] :
( ~ sQ93_spl
| segmentP(app(sk3,X0),sk3)
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f1206,f1256]) ).
fof(f1275,plain,
( ~ sQ95_spl
| rearsegP(sk3,sk3) ),
inference(forward_demodulation,[status(thm)],[f1206,f1264]) ).
fof(f1280,plain,
! [X0,X1] :
( ~ sQ95_spl
| ~ ssList(sk3)
| ~ rearsegP(X1,sk3)
| X0 = sk3
| ~ rearsegP(sk3,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk3)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f1275,f852]) ).
fof(f1282,plain,
! [X0,X1] :
( ~ sQ95_spl
| ~ ssList(sk3)
| ~ rearsegP(sk3,X1)
| X0 = X1
| ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ rearsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f1275,f852]) ).
fof(f1288,plain,
! [X0] :
( ~ sQ95_spl
| X0 = sk3
| ~ rearsegP(sk3,X0)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ rearsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f1275,f727]) ).
fof(f1293,definition,
( sQ97_spl
<=> rearsegP(sk3,sk3) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1296,definition,
( sQ98_spl
<=> sk3 = sk3 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1300,definition,
! [X0,X1] :
( sQ99_spl
<=> ( ~ rearsegP(X1,sk3)
| X0 = sk3
| ~ rearsegP(sk3,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1303,plain,
( ~ sQ95_spl
| ~ sQ12_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f1280,f1300,f572,f1263]) ).
fof(f1305,definition,
! [X0,X1] :
( sQ100_spl
<=> ( ~ rearsegP(sk3,X1)
| X0 = X1
| ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1308,plain,
( ~ sQ95_spl
| ~ sQ12_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f1282,f1305,f572,f1263]) ).
fof(f1320,definition,
! [X0] :
( sQ103_spl
<=> ( X0 = sk3
| ~ rearsegP(sk3,X0)
| ~ ssList(X0)
| ~ rearsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1323,plain,
( ~ sQ95_spl
| ~ sQ12_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f1288,f1320,f572,f1263]) ).
fof(f1325,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)],[f1235,f741]) ).
fof(f1326,plain,
! [X0] :
( app(nil,sk4) = X0
| ~ ssList(sk4)
| ~ rearsegP(X0,app(nil,sk4))
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ rearsegP(sk4,X0) ),
inference(paramodulation,[status(thm)],[f1235,f670]) ).
fof(f1328,plain,
! [X0] :
( segmentP(app(app(nil,sk4),X0),sk4)
| ~ ssList(app(sk4,X0))
| ~ ssList(sk4)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1235,f501]) ).
fof(f1329,plain,
! [X0,X1] :
( segmentP(app(sk4,X1),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ segmentP(sk4,X0) ),
inference(paramodulation,[status(thm)],[f1235,f404]) ).
fof(f1330,plain,
( rearsegP(app(nil,sk4),sk4)
| ~ ssList(sk4)
| ~ ssList(sk4)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1235,f497]) ).
fof(f1332,definition,
! [X0,X1,X2] :
( sQ104_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,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1333,plain,
! [X0,X1,X2] :
( ~ sQ104_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)],[f1332]) ).
fof(f1335,plain,
( ~ sQ10_spl
| ~ sQ14_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f1325,f1332,f581,f554]) ).
fof(f1336,definition,
! [X0] :
( sQ105_spl
<=> ( app(nil,sk4) = X0
| ~ rearsegP(X0,app(nil,sk4))
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1337,plain,
! [X0] :
( ~ sQ105_spl
| app(nil,sk4) = X0
| ~ rearsegP(X0,app(nil,sk4))
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(component_clause,[status(thm)],[f1336]) ).
fof(f1339,plain,
( ~ sQ10_spl
| ~ sQ14_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f1326,f1336,f581,f554]) ).
fof(f1343,definition,
( sQ107_spl
<=> rearsegP(sk4,sk4) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1345,plain,
( sQ107_spl
| ~ rearsegP(sk4,sk4) ),
inference(component_clause,[status(thm)],[f1343]) ).
fof(f1347,definition,
! [X0] :
( sQ108_spl
<=> ( segmentP(app(app(nil,sk4),X0),sk4)
| ~ ssList(app(sk4,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1348,plain,
! [X0] :
( ~ sQ108_spl
| segmentP(app(app(nil,sk4),X0),sk4)
| ~ ssList(app(sk4,X0))
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f1347]) ).
fof(f1350,plain,
( ~ sQ10_spl
| ~ sQ14_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f1328,f1347,f581,f554]) ).
fof(f1351,definition,
! [X0,X1] :
( sQ109_spl
<=> ( segmentP(app(sk4,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1352,plain,
! [X0,X1] :
( ~ sQ109_spl
| segmentP(app(sk4,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk4,X0) ),
inference(component_clause,[status(thm)],[f1351]) ).
fof(f1354,plain,
( ~ sQ10_spl
| ~ sQ14_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1329,f1351,f581,f554]) ).
fof(f1355,definition,
( sQ110_spl
<=> rearsegP(app(nil,sk4),sk4) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1356,plain,
( ~ sQ110_spl
| rearsegP(app(nil,sk4),sk4) ),
inference(component_clause,[status(thm)],[f1355]) ).
fof(f1358,plain,
( sQ110_spl
| ~ sQ10_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1330,f581,f554,f1355]) ).
fof(f1359,definition,
! [X0] :
( sQ111_spl
<=> ( rearsegP(sk4,X0)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1363,plain,
! [X0,X1,X2] :
( ~ sQ104_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)],[f1235,f1333]) ).
fof(f1364,plain,
! [X0] :
( ~ sQ105_spl
| app(nil,sk4) = X0
| ~ rearsegP(X0,sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(forward_demodulation,[status(thm)],[f1235,f1337]) ).
fof(f1365,plain,
! [X0] :
( ~ sQ105_spl
| sk4 = X0
| ~ rearsegP(X0,sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(forward_demodulation,[status(thm)],[f1235,f1364]) ).
fof(f1366,plain,
! [X0] :
( ~ sQ108_spl
| segmentP(app(sk4,X0),sk4)
| ~ ssList(app(sk4,X0))
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f1235,f1348]) ).
fof(f1367,plain,
( ~ sQ110_spl
| rearsegP(sk4,sk4) ),
inference(forward_demodulation,[status(thm)],[f1235,f1356]) ).
fof(f1373,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ ssList(sk4)
| ~ rearsegP(X1,sk4)
| X0 = sk4
| ~ rearsegP(sk4,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk4)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f1367,f852]) ).
fof(f1375,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ ssList(sk4)
| ~ rearsegP(sk4,X1)
| X0 = X1
| ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ rearsegP(X0,sk4) ),
inference(resolution,[status(thm)],[f1367,f852]) ).
fof(f1381,plain,
! [X0] :
( ~ sQ110_spl
| X0 = sk4
| ~ rearsegP(sk4,X0)
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(sk4)
| ~ rearsegP(X0,sk4) ),
inference(resolution,[status(thm)],[f1367,f727]) ).
fof(f1387,definition,
! [X0,X1] :
( sQ112_spl
<=> ( ~ rearsegP(X1,sk4)
| X0 = sk4
| ~ rearsegP(sk4,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1390,plain,
( ~ sQ110_spl
| ~ sQ10_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f1373,f1387,f554,f1355]) ).
fof(f1392,definition,
! [X0,X1] :
( sQ113_spl
<=> ( ~ rearsegP(sk4,X1)
| X0 = X1
| ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,sk4) ) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1395,plain,
( ~ sQ110_spl
| ~ sQ10_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f1375,f1392,f554,f1355]) ).
fof(f1407,definition,
! [X0] :
( sQ116_spl
<=> ( X0 = sk4
| ~ rearsegP(sk4,X0)
| ~ ssList(X0)
| ~ rearsegP(X0,sk4) ) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1410,plain,
( ~ sQ110_spl
| ~ sQ10_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f1381,f1407,f554,f1355]) ).
fof(f1412,plain,
( sQ107_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1345,f1367]) ).
fof(f1413,plain,
( sQ107_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f1412]) ).
fof(f1416,plain,
! [X0,X1] :
( ~ sQ66_spl
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(nil,X1)
| rearsegP(sk3,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1051,f376]) ).
fof(f1418,definition,
( sQ117_spl
<=> rearsegP(sk3,nil) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1423,definition,
! [X0,X1] :
( sQ118_spl
<=> ( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(nil,X1)
| rearsegP(sk3,X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1426,plain,
( ~ sQ66_spl
| ~ sQ14_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f1416,f1423,f581,f1050]) ).
fof(f1431,plain,
! [X0,X1] :
( ~ sQ71_spl
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(nil,X1)
| ~ ssList(X0)
| ~ rearsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f1091,f376]) ).
fof(f1435,definition,
! [X0,X1] :
( sQ119_spl
<=> ( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(nil,X1)
| ~ ssList(X0)
| ~ rearsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1438,plain,
( ~ sQ71_spl
| ~ sQ14_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f1431,f1435,f581,f1090]) ).
fof(f1443,plain,
! [X0,X1] :
( ~ sQ86_spl
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(nil,X1)
| rearsegP(sk4,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1173,f376]) ).
fof(f1445,definition,
( sQ120_spl
<=> rearsegP(sk4,nil) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1450,definition,
! [X0,X1] :
( sQ121_spl
<=> ( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(nil,X1)
| rearsegP(sk4,X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1453,plain,
( ~ sQ86_spl
| ~ sQ14_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f1443,f1450,f581,f1172]) ).
fof(f1456,plain,
! [X0,X1] :
( ~ sQ60_spl
| segmentP(X1,X0)
| ~ ssList(X1)
| ~ ssList(sk3)
| ~ segmentP(X1,app(sk3,nil))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f989,f1054]) ).
fof(f1457,definition,
! [X0,X1] :
( sQ122_spl
<=> ( segmentP(X1,X0)
| ~ ssList(X1)
| ~ segmentP(X1,app(sk3,nil))
| ~ ssList(X0)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1460,plain,
( ~ sQ60_spl
| ~ sQ12_spl
| ~ sQ14_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f1456,f1457,f581,f572,f1026]) ).
fof(f1465,plain,
! [X0,X1] :
( ~ sQ91_spl
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(sk3,X1)
| sk3 = X0
| ~ rearsegP(X0,sk3)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1273,f376]) ).
fof(f1470,definition,
! [X0,X1] :
( sQ123_spl
<=> ( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(sk3,X1)
| sk3 = X0
| ~ rearsegP(X0,sk3)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1473,plain,
( ~ sQ91_spl
| ~ sQ12_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f1465,f1470,f572,f1247]) ).
fof(f1508,plain,
( ~ sQ23_spl
| ~ sQ9_spl
| segmentP(sk4,sk3) ),
inference(backward_demodulation,[status(thm)],[f479,f677]) ).
fof(f1531,plain,
( ~ sQ23_spl
| ~ sQ9_spl
| sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1508,f645]) ).
fof(f1532,plain,
( ~ sQ23_spl
| ~ sQ9_spl
| sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1531]) ).
fof(f1723,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)],[f989,f742]) ).
fof(f1724,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)],[f1018,f742]) ).
fof(f1725,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)],[f1004,f742]) ).
fof(f1726,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)],[f1206,f742]) ).
fof(f1727,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)],[f1235,f742]) ).
fof(f1728,definition,
! [X0,X1] :
( sQ124_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,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1729,plain,
! [X0,X1] :
( ~ sQ124_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) ),
inference(component_clause,[status(thm)],[f1728]) ).
fof(f1731,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f1723,f1728,f572,f581]) ).
fof(f1732,definition,
! [X0,X1] :
( sQ125_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,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1733,plain,
! [X0,X1] :
( ~ sQ125_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) ),
inference(component_clause,[status(thm)],[f1732]) ).
fof(f1735,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f1724,f1732,f554,f581]) ).
fof(f1736,definition,
! [X0,X1] :
( sQ126_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,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1737,plain,
! [X0,X1] :
( ~ sQ126_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) ),
inference(component_clause,[status(thm)],[f1736]) ).
fof(f1739,plain,
( ~ sQ14_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f1725,f1736,f581]) ).
fof(f1740,definition,
! [X0,X1] :
( sQ127_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,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1741,plain,
! [X0,X1] :
( ~ sQ127_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) ),
inference(component_clause,[status(thm)],[f1740]) ).
fof(f1743,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f1726,f1740,f581,f572]) ).
fof(f1744,definition,
! [X0,X1] :
( sQ128_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,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1745,plain,
! [X0,X1] :
( ~ sQ128_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) ),
inference(component_clause,[status(thm)],[f1744]) ).
fof(f1747,plain,
( ~ sQ10_spl
| ~ sQ14_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f1727,f1744,f581,f554]) ).
fof(f1748,plain,
! [X0,X1] :
( ~ sQ125_spl
| app(app(sk4,nil),X1) = X0
| ~ ssList(app(sk4,X1))
| ~ segmentP(X0,app(sk4,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_demodulation,[status(thm)],[f1018,f1733]) ).
fof(f1749,plain,
! [X0,X1] :
( ~ sQ125_spl
| app(sk4,X1) = X0
| ~ ssList(app(sk4,X1))
| ~ segmentP(X0,app(sk4,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_demodulation,[status(thm)],[f1018,f1748]) ).
fof(f1750,plain,
! [X0,X1] :
( ~ sQ128_spl
| app(app(nil,sk4),X1) = X0
| ~ ssList(app(sk4,X1))
| ~ segmentP(X0,app(sk4,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk4,X0) ),
inference(forward_demodulation,[status(thm)],[f1235,f1745]) ).
fof(f1751,plain,
! [X0,X1] :
( ~ sQ128_spl
| app(sk4,X1) = X0
| ~ ssList(app(sk4,X1))
| ~ segmentP(X0,app(sk4,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk4,X0) ),
inference(forward_demodulation,[status(thm)],[f1235,f1750]) ).
fof(f1752,plain,
! [X0,X1] :
( ~ sQ124_spl
| app(app(sk3,nil),X1) = X0
| ~ ssList(app(sk3,X1))
| ~ segmentP(X0,app(sk3,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_demodulation,[status(thm)],[f989,f1729]) ).
fof(f1753,plain,
! [X0,X1] :
( ~ sQ124_spl
| app(sk3,X1) = X0
| ~ ssList(app(sk3,X1))
| ~ segmentP(X0,app(sk3,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_demodulation,[status(thm)],[f989,f1752]) ).
fof(f1754,plain,
! [X0,X1] :
( ~ sQ127_spl
| app(app(nil,sk3),X1) = X0
| ~ ssList(app(sk3,X1))
| ~ segmentP(X0,app(sk3,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk3,X0) ),
inference(forward_demodulation,[status(thm)],[f1206,f1741]) ).
fof(f1755,plain,
! [X0,X1] :
( ~ sQ127_spl
| app(sk3,X1) = X0
| ~ ssList(app(sk3,X1))
| ~ segmentP(X0,app(sk3,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk3,X0) ),
inference(forward_demodulation,[status(thm)],[f1206,f1754]) ).
fof(f1756,plain,
! [X0,X1] :
( ~ sQ126_spl
| app(app(nil,nil),X1) = X0
| ~ ssList(app(nil,X1))
| ~ segmentP(X0,app(nil,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_demodulation,[status(thm)],[f1004,f1737]) ).
fof(f1757,plain,
! [X0,X1] :
( ~ sQ126_spl
| app(nil,X1) = X0
| ~ ssList(app(nil,X1))
| ~ segmentP(X0,app(nil,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_demodulation,[status(thm)],[f1004,f1756]) ).
fof(f1828,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)],[f996,f742]) ).
fof(f1829,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)],[f996,f741]) ).
fof(f1830,plain,
! [X0,X1] :
( app(skaf51(X1),nil) = X0
| ~ ssList(skaf51(X1))
| ~ rearsegP(X0,app(skaf51(X1),nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f996,f670]) ).
fof(f1831,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)],[f996,f501]) ).
fof(f1832,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)],[f996,f404]) ).
fof(f1833,plain,
! [X0] :
( rearsegP(app(skaf51(X0),nil),nil)
| ~ ssList(skaf51(X0))
| ~ ssList(nil)
| ~ ssList(skaf51(X0)) ),
inference(paramodulation,[status(thm)],[f996,f497]) ).
fof(f1834,plain,
! [X0,X1] :
( rearsegP(skaf51(X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f996,f350]) ).
fof(f1835,definition,
! [X0,X1,X2] :
( sQ129_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,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1836,plain,
! [X0,X1,X2] :
( ~ sQ129_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) ),
inference(component_clause,[status(thm)],[f1835]) ).
fof(f1838,plain,
( ~ sQ14_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f1828,f1835,f581]) ).
fof(f1839,definition,
! [X0,X1,X2,X3] :
( sQ130_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,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1840,plain,
! [X0,X1,X2,X3] :
( ~ sQ130_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) ),
inference(component_clause,[status(thm)],[f1839]) ).
fof(f1842,plain,
( ~ sQ14_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f1829,f1839,f581]) ).
fof(f1843,definition,
! [X0,X1] :
( sQ131_spl
<=> ( app(skaf51(X1),nil) = X0
| ~ ssList(skaf51(X1))
| ~ rearsegP(X0,app(skaf51(X1),nil))
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1844,plain,
! [X0,X1] :
( ~ sQ131_spl
| app(skaf51(X1),nil) = X0
| ~ ssList(skaf51(X1))
| ~ rearsegP(X0,app(skaf51(X1),nil))
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ~ rearsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f1843]) ).
fof(f1846,plain,
( ~ sQ14_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f1830,f1843,f581]) ).
fof(f1847,definition,
! [X0,X1] :
( sQ132_spl
<=> ( segmentP(app(app(skaf51(X1),nil),X0),nil)
| ~ ssList(app(skaf51(X1),X0))
| ~ ssList(skaf51(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1850,plain,
( ~ sQ14_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f1831,f1847,f581]) ).
fof(f1851,definition,
! [X0,X1,X2] :
( sQ133_spl
<=> ( segmentP(app(skaf51(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf51(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1852,plain,
! [X0,X1,X2] :
( ~ sQ133_spl
| segmentP(app(skaf51(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf51(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(component_clause,[status(thm)],[f1851]) ).
fof(f1854,plain,
( ~ sQ14_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f1832,f1851,f581]) ).
fof(f1855,definition,
! [X0] :
( sQ134_spl
<=> ( rearsegP(app(skaf51(X0),nil),nil)
| ~ ssList(skaf51(X0))
| ~ ssList(skaf51(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1858,plain,
( ~ sQ14_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f1833,f1855,f581]) ).
fof(f1859,definition,
! [X0,X1] :
( sQ135_spl
<=> ( rearsegP(skaf51(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1860,plain,
! [X0,X1] :
( ~ sQ135_spl
| rearsegP(skaf51(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ~ rearsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f1859]) ).
fof(f1862,plain,
( ~ sQ14_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f1834,f1859,f581]) ).
fof(f1863,plain,
! [X0,X1,X2] :
( ~ sQ129_spl
| app(app(skaf51(X2),nil),X1) = X0
| ~ ssList(app(skaf51(X2),X1))
| ~ segmentP(X0,app(skaf51(X2),X1))
| ~ ssList(X0)
| ~ ssList(skaf51(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_demodulation,[status(thm)],[f996,f1836]) ).
fof(f1864,plain,
! [X0,X1,X2] :
( ~ sQ129_spl
| app(skaf51(X2),X1) = X0
| ~ ssList(app(skaf51(X2),X1))
| ~ segmentP(X0,app(skaf51(X2),X1))
| ~ ssList(X0)
| ~ ssList(skaf51(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_demodulation,[status(thm)],[f996,f1863]) ).
fof(f1865,plain,
! [X0,X1,X2] :
( ~ sQ129_spl
| app(skaf51(X2),X1) = X0
| ~ ssList(app(skaf51(X2),X1))
| ~ segmentP(X0,app(skaf51(X2),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1864,f243]) ).
fof(f1866,plain,
! [X0,X1,X2,X3] :
( ~ sQ130_spl
| segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf51(X2),X1))
| ~ segmentP(X3,app(skaf51(X2),X1))
| ~ ssList(X0)
| ~ ssList(skaf51(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_demodulation,[status(thm)],[f996,f1840]) ).
fof(f1867,plain,
! [X0,X1,X2,X3] :
( ~ sQ130_spl
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(skaf51(X3),X1))
| ~ segmentP(X2,app(skaf51(X3),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1866,f243]) ).
fof(f1868,plain,
! [X0,X1] :
( ~ sQ131_spl
| app(skaf51(X1),nil) = X0
| ~ ssList(skaf51(X1))
| ~ rearsegP(X0,skaf51(X1))
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ~ rearsegP(nil,X0) ),
inference(forward_demodulation,[status(thm)],[f996,f1844]) ).
fof(f1869,plain,
! [X0,X1] :
( ~ sQ131_spl
| skaf51(X1) = X0
| ~ ssList(skaf51(X1))
| ~ rearsegP(X0,skaf51(X1))
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ~ rearsegP(nil,X0) ),
inference(forward_demodulation,[status(thm)],[f996,f1868]) ).
fof(f1870,plain,
! [X0,X1] :
( ~ sQ131_spl
| skaf51(X1) = X0
| ~ rearsegP(X0,skaf51(X1))
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ~ rearsegP(nil,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1869]) ).
fof(f1871,plain,
! [X0,X1] :
( ~ sQ131_spl
| skaf51(X1) = X0
| ~ rearsegP(X0,skaf51(X1))
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1870,f243]) ).
fof(f1873,plain,
! [X0,X1,X2] :
( ~ sQ133_spl
| segmentP(app(skaf51(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1852,f243]) ).
fof(f1876,plain,
! [X0,X1] :
( ~ sQ135_spl
| rearsegP(skaf51(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1860,f243]) ).
fof(f1877,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)],[f997,f742]) ).
fof(f1878,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)],[f997,f741]) ).
fof(f1879,plain,
! [X0,X1] :
( app(skaf52(X1),nil) = X0
| ~ ssList(skaf52(X1))
| ~ rearsegP(X0,app(skaf52(X1),nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf52(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f997,f670]) ).
fof(f1880,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)],[f997,f501]) ).
fof(f1881,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)],[f997,f404]) ).
fof(f1882,plain,
! [X0] :
( rearsegP(app(skaf52(X0),nil),nil)
| ~ ssList(skaf52(X0))
| ~ ssList(nil)
| ~ ssList(skaf52(X0)) ),
inference(paramodulation,[status(thm)],[f997,f497]) ).
fof(f1883,plain,
! [X0,X1] :
( rearsegP(skaf52(X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf52(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f997,f350]) ).
fof(f1884,definition,
! [X0,X1,X2] :
( sQ136_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,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1885,plain,
! [X0,X1,X2] :
( ~ sQ136_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) ),
inference(component_clause,[status(thm)],[f1884]) ).
fof(f1887,plain,
( ~ sQ14_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1877,f1884,f581]) ).
fof(f1888,definition,
! [X0,X1,X2,X3] :
( sQ137_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,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1889,plain,
! [X0,X1,X2,X3] :
( ~ sQ137_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) ),
inference(component_clause,[status(thm)],[f1888]) ).
fof(f1891,plain,
( ~ sQ14_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f1878,f1888,f581]) ).
fof(f1892,definition,
! [X0,X1] :
( sQ138_spl
<=> ( app(skaf52(X1),nil) = X0
| ~ ssList(skaf52(X1))
| ~ rearsegP(X0,app(skaf52(X1),nil))
| ~ ssList(X0)
| ~ ssList(skaf52(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1893,plain,
! [X0,X1] :
( ~ sQ138_spl
| app(skaf52(X1),nil) = X0
| ~ ssList(skaf52(X1))
| ~ rearsegP(X0,app(skaf52(X1),nil))
| ~ ssList(X0)
| ~ ssList(skaf52(X1))
| ~ rearsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f1892]) ).
fof(f1895,plain,
( ~ sQ14_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f1879,f1892,f581]) ).
fof(f1896,definition,
! [X0,X1] :
( sQ139_spl
<=> ( segmentP(app(app(skaf52(X1),nil),X0),nil)
| ~ ssList(app(skaf52(X1),X0))
| ~ ssList(skaf52(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1899,plain,
( ~ sQ14_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f1880,f1896,f581]) ).
fof(f1900,definition,
! [X0,X1,X2] :
( sQ140_spl
<=> ( segmentP(app(skaf52(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf52(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1901,plain,
! [X0,X1,X2] :
( ~ sQ140_spl
| segmentP(app(skaf52(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf52(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(component_clause,[status(thm)],[f1900]) ).
fof(f1903,plain,
( ~ sQ14_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1881,f1900,f581]) ).
fof(f1904,definition,
! [X0] :
( sQ141_spl
<=> ( rearsegP(app(skaf52(X0),nil),nil)
| ~ ssList(skaf52(X0))
| ~ ssList(skaf52(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1907,plain,
( ~ sQ14_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f1882,f1904,f581]) ).
fof(f1908,definition,
! [X0,X1] :
( sQ142_spl
<=> ( rearsegP(skaf52(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf52(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1909,plain,
! [X0,X1] :
( ~ sQ142_spl
| rearsegP(skaf52(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf52(X1))
| ~ rearsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f1908]) ).
fof(f1911,plain,
( ~ sQ14_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f1883,f1908,f581]) ).
fof(f1912,plain,
! [X0,X1,X2] :
( ~ sQ136_spl
| app(app(skaf52(X2),nil),X1) = X0
| ~ ssList(app(skaf52(X2),X1))
| ~ segmentP(X0,app(skaf52(X2),X1))
| ~ ssList(X0)
| ~ ssList(skaf52(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_demodulation,[status(thm)],[f997,f1885]) ).
fof(f1913,plain,
! [X0,X1,X2] :
( ~ sQ136_spl
| app(skaf52(X2),X1) = X0
| ~ ssList(app(skaf52(X2),X1))
| ~ segmentP(X0,app(skaf52(X2),X1))
| ~ ssList(X0)
| ~ ssList(skaf52(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_demodulation,[status(thm)],[f997,f1912]) ).
fof(f1914,plain,
! [X0,X1,X2] :
( ~ sQ136_spl
| app(skaf52(X2),X1) = X0
| ~ ssList(app(skaf52(X2),X1))
| ~ segmentP(X0,app(skaf52(X2),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1913,f242]) ).
fof(f1915,plain,
! [X0,X1,X2,X3] :
( ~ sQ137_spl
| segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf52(X2),X1))
| ~ segmentP(X3,app(skaf52(X2),X1))
| ~ ssList(X0)
| ~ ssList(skaf52(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_demodulation,[status(thm)],[f997,f1889]) ).
fof(f1916,plain,
! [X0,X1,X2,X3] :
( ~ sQ137_spl
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(skaf52(X3),X1))
| ~ segmentP(X2,app(skaf52(X3),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1915,f242]) ).
fof(f1917,plain,
! [X0,X1] :
( ~ sQ138_spl
| app(skaf52(X1),nil) = X0
| ~ ssList(skaf52(X1))
| ~ rearsegP(X0,skaf52(X1))
| ~ ssList(X0)
| ~ ssList(skaf52(X1))
| ~ rearsegP(nil,X0) ),
inference(forward_demodulation,[status(thm)],[f997,f1893]) ).
fof(f1918,plain,
! [X0,X1] :
( ~ sQ138_spl
| skaf52(X1) = X0
| ~ ssList(skaf52(X1))
| ~ rearsegP(X0,skaf52(X1))
| ~ ssList(X0)
| ~ ssList(skaf52(X1))
| ~ rearsegP(nil,X0) ),
inference(forward_demodulation,[status(thm)],[f997,f1917]) ).
fof(f1919,plain,
! [X0,X1] :
( ~ sQ138_spl
| skaf52(X1) = X0
| ~ rearsegP(X0,skaf52(X1))
| ~ ssList(X0)
| ~ ssList(skaf52(X1))
| ~ rearsegP(nil,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1918]) ).
fof(f1920,plain,
! [X0,X1] :
( ~ sQ138_spl
| skaf52(X1) = X0
| ~ rearsegP(X0,skaf52(X1))
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1919,f242]) ).
fof(f1922,plain,
! [X0,X1,X2] :
( ~ sQ140_spl
| segmentP(app(skaf52(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1901,f242]) ).
fof(f1925,plain,
! [X0,X1] :
( ~ sQ142_spl
| rearsegP(skaf52(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1909,f242]) ).
fof(f1926,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)],[f998,f742]) ).
fof(f1927,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)],[f998,f741]) ).
fof(f1928,plain,
! [X0,X1] :
( app(skaf53(X1),nil) = X0
| ~ ssList(skaf53(X1))
| ~ rearsegP(X0,app(skaf53(X1),nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf53(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f998,f670]) ).
fof(f1929,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)],[f998,f501]) ).
fof(f1930,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)],[f998,f404]) ).
fof(f1931,plain,
! [X0] :
( rearsegP(app(skaf53(X0),nil),nil)
| ~ ssList(skaf53(X0))
| ~ ssList(nil)
| ~ ssList(skaf53(X0)) ),
inference(paramodulation,[status(thm)],[f998,f497]) ).
fof(f1932,plain,
! [X0,X1] :
( rearsegP(skaf53(X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf53(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f998,f350]) ).
fof(f1933,definition,
! [X0,X1,X2] :
( sQ143_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,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1934,plain,
! [X0,X1,X2] :
( ~ sQ143_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) ),
inference(component_clause,[status(thm)],[f1933]) ).
fof(f1936,plain,
( ~ sQ14_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f1926,f1933,f581]) ).
fof(f1937,definition,
! [X0,X1,X2,X3] :
( sQ144_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,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1938,plain,
! [X0,X1,X2,X3] :
( ~ sQ144_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) ),
inference(component_clause,[status(thm)],[f1937]) ).
fof(f1940,plain,
( ~ sQ14_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1927,f1937,f581]) ).
fof(f1941,definition,
! [X0,X1] :
( sQ145_spl
<=> ( app(skaf53(X1),nil) = X0
| ~ ssList(skaf53(X1))
| ~ rearsegP(X0,app(skaf53(X1),nil))
| ~ ssList(X0)
| ~ ssList(skaf53(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1942,plain,
! [X0,X1] :
( ~ sQ145_spl
| app(skaf53(X1),nil) = X0
| ~ ssList(skaf53(X1))
| ~ rearsegP(X0,app(skaf53(X1),nil))
| ~ ssList(X0)
| ~ ssList(skaf53(X1))
| ~ rearsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f1941]) ).
fof(f1944,plain,
( ~ sQ14_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f1928,f1941,f581]) ).
fof(f1945,definition,
! [X0,X1] :
( sQ146_spl
<=> ( segmentP(app(app(skaf53(X1),nil),X0),nil)
| ~ ssList(app(skaf53(X1),X0))
| ~ ssList(skaf53(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1948,plain,
( ~ sQ14_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f1929,f1945,f581]) ).
fof(f1949,definition,
! [X0,X1,X2] :
( sQ147_spl
<=> ( segmentP(app(skaf53(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf53(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1952,plain,
( ~ sQ14_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f1930,f1949,f581]) ).
fof(f1953,definition,
! [X0] :
( sQ148_spl
<=> ( rearsegP(app(skaf53(X0),nil),nil)
| ~ ssList(skaf53(X0))
| ~ ssList(skaf53(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1956,plain,
( ~ sQ14_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f1931,f1953,f581]) ).
fof(f1957,definition,
! [X0,X1] :
( sQ149_spl
<=> ( rearsegP(skaf53(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf53(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1958,plain,
! [X0,X1] :
( ~ sQ149_spl
| rearsegP(skaf53(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf53(X1))
| ~ rearsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f1957]) ).
fof(f1960,plain,
( ~ sQ14_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f1932,f1957,f581]) ).
fof(f1961,plain,
! [X0,X1,X2] :
( ~ sQ143_spl
| app(app(skaf53(X2),nil),X1) = X0
| ~ ssList(app(skaf53(X2),X1))
| ~ segmentP(X0,app(skaf53(X2),X1))
| ~ ssList(X0)
| ~ ssList(skaf53(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_demodulation,[status(thm)],[f998,f1934]) ).
fof(f1962,plain,
! [X0,X1,X2] :
( ~ sQ143_spl
| app(skaf53(X2),X1) = X0
| ~ ssList(app(skaf53(X2),X1))
| ~ segmentP(X0,app(skaf53(X2),X1))
| ~ ssList(X0)
| ~ ssList(skaf53(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_demodulation,[status(thm)],[f998,f1961]) ).
fof(f1963,plain,
! [X0,X1,X2] :
( ~ sQ143_spl
| app(skaf53(X2),X1) = X0
| ~ ssList(app(skaf53(X2),X1))
| ~ segmentP(X0,app(skaf53(X2),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1962,f241]) ).
fof(f1964,plain,
! [X0,X1,X2,X3] :
( ~ sQ144_spl
| segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf53(X2),X1))
| ~ segmentP(X3,app(skaf53(X2),X1))
| ~ ssList(X0)
| ~ ssList(skaf53(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_demodulation,[status(thm)],[f998,f1938]) ).
fof(f1965,plain,
! [X0,X1,X2,X3] :
( ~ sQ144_spl
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(skaf53(X3),X1))
| ~ segmentP(X2,app(skaf53(X3),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1964,f241]) ).
fof(f1966,plain,
! [X0,X1] :
( ~ sQ145_spl
| app(skaf53(X1),nil) = X0
| ~ ssList(skaf53(X1))
| ~ rearsegP(X0,skaf53(X1))
| ~ ssList(X0)
| ~ ssList(skaf53(X1))
| ~ rearsegP(nil,X0) ),
inference(forward_demodulation,[status(thm)],[f998,f1942]) ).
fof(f1967,plain,
! [X0,X1] :
( ~ sQ145_spl
| skaf53(X1) = X0
| ~ ssList(skaf53(X1))
| ~ rearsegP(X0,skaf53(X1))
| ~ ssList(X0)
| ~ ssList(skaf53(X1))
| ~ rearsegP(nil,X0) ),
inference(forward_demodulation,[status(thm)],[f998,f1966]) ).
fof(f1968,plain,
! [X0,X1] :
( ~ sQ145_spl
| skaf53(X1) = X0
| ~ rearsegP(X0,skaf53(X1))
| ~ ssList(X0)
| ~ ssList(skaf53(X1))
| ~ rearsegP(nil,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1967]) ).
fof(f1969,plain,
! [X0,X1] :
( ~ sQ145_spl
| skaf53(X1) = X0
| ~ rearsegP(X0,skaf53(X1))
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1968,f241]) ).
fof(f1974,plain,
! [X0,X1] :
( ~ sQ149_spl
| rearsegP(skaf53(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1958,f241]) ).
fof(f1975,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)],[f999,f742]) ).
fof(f1976,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)],[f999,f741]) ).
fof(f1977,plain,
! [X0,X1] :
( app(skaf56(X1),nil) = X0
| ~ ssList(skaf56(X1))
| ~ rearsegP(X0,app(skaf56(X1),nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf56(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f999,f670]) ).
fof(f1978,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)],[f999,f501]) ).
fof(f1979,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)],[f999,f404]) ).
fof(f1980,plain,
! [X0] :
( rearsegP(app(skaf56(X0),nil),nil)
| ~ ssList(skaf56(X0))
| ~ ssList(nil)
| ~ ssList(skaf56(X0)) ),
inference(paramodulation,[status(thm)],[f999,f497]) ).
fof(f1981,plain,
! [X0,X1] :
( rearsegP(skaf56(X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf56(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f999,f350]) ).
fof(f1982,definition,
! [X0,X1,X2] :
( sQ150_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,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1985,plain,
( ~ sQ14_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f1975,f1982,f581]) ).
fof(f1986,definition,
! [X0,X1,X2,X3] :
( sQ151_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,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1989,plain,
( ~ sQ14_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f1976,f1986,f581]) ).
fof(f1990,definition,
! [X0,X1] :
( sQ152_spl
<=> ( app(skaf56(X1),nil) = X0
| ~ ssList(skaf56(X1))
| ~ rearsegP(X0,app(skaf56(X1),nil))
| ~ ssList(X0)
| ~ ssList(skaf56(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1993,plain,
( ~ sQ14_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1977,f1990,f581]) ).
fof(f1994,definition,
! [X0,X1] :
( sQ153_spl
<=> ( segmentP(app(app(skaf56(X1),nil),X0),nil)
| ~ ssList(app(skaf56(X1),X0))
| ~ ssList(skaf56(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1997,plain,
( ~ sQ14_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f1978,f1994,f581]) ).
fof(f1998,definition,
! [X0,X1,X2] :
( sQ154_spl
<=> ( segmentP(app(skaf56(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf56(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f2001,plain,
( ~ sQ14_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f1979,f1998,f581]) ).
fof(f2002,definition,
! [X0] :
( sQ155_spl
<=> ( rearsegP(app(skaf56(X0),nil),nil)
| ~ ssList(skaf56(X0))
| ~ ssList(skaf56(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f2005,plain,
( ~ sQ14_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f1980,f2002,f581]) ).
fof(f2006,definition,
! [X0,X1] :
( sQ156_spl
<=> ( rearsegP(skaf56(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf56(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f2007,plain,
! [X0,X1] :
( ~ sQ156_spl
| rearsegP(skaf56(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf56(X1))
| ~ rearsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f2006]) ).
fof(f2009,plain,
( ~ sQ14_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f1981,f2006,f581]) ).
fof(f2023,plain,
! [X0,X1] :
( ~ sQ156_spl
| rearsegP(skaf56(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2007,f238]) ).
fof(f2024,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)],[f1000,f742]) ).
fof(f2025,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)],[f1000,f741]) ).
fof(f2026,plain,
! [X0,X1] :
( app(skaf57(X1),nil) = X0
| ~ ssList(skaf57(X1))
| ~ rearsegP(X0,app(skaf57(X1),nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf57(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1000,f670]) ).
fof(f2027,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)],[f1000,f501]) ).
fof(f2028,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)],[f1000,f404]) ).
fof(f2029,plain,
! [X0] :
( rearsegP(app(skaf57(X0),nil),nil)
| ~ ssList(skaf57(X0))
| ~ ssList(nil)
| ~ ssList(skaf57(X0)) ),
inference(paramodulation,[status(thm)],[f1000,f497]) ).
fof(f2030,plain,
! [X0,X1] :
( rearsegP(skaf57(X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf57(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1000,f350]) ).
fof(f2031,definition,
! [X0,X1,X2] :
( sQ157_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,[sQ157_spl])],[split_symbol_definition]) ).
fof(f2034,plain,
( ~ sQ14_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f2024,f2031,f581]) ).
fof(f2035,definition,
! [X0,X1,X2,X3] :
( sQ158_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,[sQ158_spl])],[split_symbol_definition]) ).
fof(f2038,plain,
( ~ sQ14_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f2025,f2035,f581]) ).
fof(f2039,definition,
! [X0,X1] :
( sQ159_spl
<=> ( app(skaf57(X1),nil) = X0
| ~ ssList(skaf57(X1))
| ~ rearsegP(X0,app(skaf57(X1),nil))
| ~ ssList(X0)
| ~ ssList(skaf57(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f2042,plain,
( ~ sQ14_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f2026,f2039,f581]) ).
fof(f2043,definition,
! [X0,X1] :
( sQ160_spl
<=> ( segmentP(app(app(skaf57(X1),nil),X0),nil)
| ~ ssList(app(skaf57(X1),X0))
| ~ ssList(skaf57(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f2046,plain,
( ~ sQ14_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f2027,f2043,f581]) ).
fof(f2047,definition,
! [X0,X1,X2] :
( sQ161_spl
<=> ( segmentP(app(skaf57(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf57(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f2050,plain,
( ~ sQ14_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f2028,f2047,f581]) ).
fof(f2051,definition,
! [X0] :
( sQ162_spl
<=> ( rearsegP(app(skaf57(X0),nil),nil)
| ~ ssList(skaf57(X0))
| ~ ssList(skaf57(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f2054,plain,
( ~ sQ14_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f2029,f2051,f581]) ).
fof(f2055,definition,
! [X0,X1] :
( sQ163_spl
<=> ( rearsegP(skaf57(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf57(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f2056,plain,
! [X0,X1] :
( ~ sQ163_spl
| rearsegP(skaf57(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf57(X1))
| ~ rearsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f2055]) ).
fof(f2058,plain,
( ~ sQ14_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f2030,f2055,f581]) ).
fof(f2072,plain,
! [X0,X1] :
( ~ sQ163_spl
| rearsegP(skaf57(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2056,f237]) ).
fof(f2073,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)],[f1001,f742]) ).
fof(f2074,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)],[f1001,f741]) ).
fof(f2075,plain,
! [X0,X1] :
( app(skaf58(X1),nil) = X0
| ~ ssList(skaf58(X1))
| ~ rearsegP(X0,app(skaf58(X1),nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf58(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1001,f670]) ).
fof(f2076,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)],[f1001,f501]) ).
fof(f2077,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)],[f1001,f404]) ).
fof(f2078,plain,
! [X0] :
( rearsegP(app(skaf58(X0),nil),nil)
| ~ ssList(skaf58(X0))
| ~ ssList(nil)
| ~ ssList(skaf58(X0)) ),
inference(paramodulation,[status(thm)],[f1001,f497]) ).
fof(f2079,plain,
! [X0,X1] :
( rearsegP(skaf58(X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf58(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1001,f350]) ).
fof(f2080,definition,
! [X0,X1,X2] :
( sQ164_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,[sQ164_spl])],[split_symbol_definition]) ).
fof(f2083,plain,
( ~ sQ14_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f2073,f2080,f581]) ).
fof(f2084,definition,
! [X0,X1,X2,X3] :
( sQ165_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,[sQ165_spl])],[split_symbol_definition]) ).
fof(f2087,plain,
( ~ sQ14_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f2074,f2084,f581]) ).
fof(f2088,definition,
! [X0,X1] :
( sQ166_spl
<=> ( app(skaf58(X1),nil) = X0
| ~ ssList(skaf58(X1))
| ~ rearsegP(X0,app(skaf58(X1),nil))
| ~ ssList(X0)
| ~ ssList(skaf58(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f2091,plain,
( ~ sQ14_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f2075,f2088,f581]) ).
fof(f2092,definition,
! [X0,X1] :
( sQ167_spl
<=> ( segmentP(app(app(skaf58(X1),nil),X0),nil)
| ~ ssList(app(skaf58(X1),X0))
| ~ ssList(skaf58(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f2095,plain,
( ~ sQ14_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f2076,f2092,f581]) ).
fof(f2096,definition,
! [X0,X1,X2] :
( sQ168_spl
<=> ( segmentP(app(skaf58(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf58(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f2099,plain,
( ~ sQ14_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f2077,f2096,f581]) ).
fof(f2100,definition,
! [X0] :
( sQ169_spl
<=> ( rearsegP(app(skaf58(X0),nil),nil)
| ~ ssList(skaf58(X0))
| ~ ssList(skaf58(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f2103,plain,
( ~ sQ14_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f2078,f2100,f581]) ).
fof(f2104,definition,
! [X0,X1] :
( sQ170_spl
<=> ( rearsegP(skaf58(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf58(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f2105,plain,
! [X0,X1] :
( ~ sQ170_spl
| rearsegP(skaf58(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf58(X1))
| ~ rearsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f2104]) ).
fof(f2107,plain,
( ~ sQ14_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f2079,f2104,f581]) ).
fof(f2121,plain,
! [X0,X1] :
( ~ sQ170_spl
| rearsegP(skaf58(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2105,f236]) ).
fof(f2122,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)],[f1002,f742]) ).
fof(f2123,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)],[f1002,f741]) ).
fof(f2124,plain,
! [X0,X1] :
( app(skaf61(X1),nil) = X0
| ~ ssList(skaf61(X1))
| ~ rearsegP(X0,app(skaf61(X1),nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf61(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1002,f670]) ).
fof(f2125,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)],[f1002,f501]) ).
fof(f2126,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)],[f1002,f404]) ).
fof(f2127,plain,
! [X0] :
( rearsegP(app(skaf61(X0),nil),nil)
| ~ ssList(skaf61(X0))
| ~ ssList(nil)
| ~ ssList(skaf61(X0)) ),
inference(paramodulation,[status(thm)],[f1002,f497]) ).
fof(f2128,plain,
! [X0,X1] :
( rearsegP(skaf61(X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf61(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1002,f350]) ).
fof(f2129,definition,
! [X0,X1,X2] :
( sQ171_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,[sQ171_spl])],[split_symbol_definition]) ).
fof(f2132,plain,
( ~ sQ14_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f2122,f2129,f581]) ).
fof(f2133,definition,
! [X0,X1,X2,X3] :
( sQ172_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,[sQ172_spl])],[split_symbol_definition]) ).
fof(f2136,plain,
( ~ sQ14_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f2123,f2133,f581]) ).
fof(f2137,definition,
! [X0,X1] :
( sQ173_spl
<=> ( app(skaf61(X1),nil) = X0
| ~ ssList(skaf61(X1))
| ~ rearsegP(X0,app(skaf61(X1),nil))
| ~ ssList(X0)
| ~ ssList(skaf61(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f2140,plain,
( ~ sQ14_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f2124,f2137,f581]) ).
fof(f2141,definition,
! [X0,X1] :
( sQ174_spl
<=> ( segmentP(app(app(skaf61(X1),nil),X0),nil)
| ~ ssList(app(skaf61(X1),X0))
| ~ ssList(skaf61(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f2144,plain,
( ~ sQ14_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f2125,f2141,f581]) ).
fof(f2145,definition,
! [X0,X1,X2] :
( sQ175_spl
<=> ( segmentP(app(skaf61(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf61(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f2148,plain,
( ~ sQ14_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f2126,f2145,f581]) ).
fof(f2149,definition,
! [X0] :
( sQ176_spl
<=> ( rearsegP(app(skaf61(X0),nil),nil)
| ~ ssList(skaf61(X0))
| ~ ssList(skaf61(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f2152,plain,
( ~ sQ14_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f2127,f2149,f581]) ).
fof(f2153,definition,
! [X0,X1] :
( sQ177_spl
<=> ( rearsegP(skaf61(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf61(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f2154,plain,
! [X0,X1] :
( ~ sQ177_spl
| rearsegP(skaf61(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf61(X1))
| ~ rearsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f2153]) ).
fof(f2156,plain,
( ~ sQ14_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f2128,f2153,f581]) ).
fof(f2170,plain,
! [X0,X1] :
( ~ sQ177_spl
| rearsegP(skaf61(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2154,f233]) ).
fof(f2212,plain,
! [X0] :
( ~ sQ64_spl
| ~ ssList(nil)
| segmentP(app(sk3,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1043,f255]) ).
fof(f2214,definition,
! [X0] :
( sQ179_spl
<=> ( segmentP(app(sk3,X0),nil)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f2215,plain,
! [X0] :
( ~ sQ179_spl
| segmentP(app(sk3,X0),nil)
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f2214]) ).
fof(f2218,plain,
( ~ sQ64_spl
| ~ sQ14_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f2212,f2214,f581,f1042]) ).
fof(f2220,plain,
! [X0,X1] :
( ~ sQ179_spl
| segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(app(sk3,X0))
| ~ ssList(nil)
| ~ segmentP(X1,app(sk3,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2215,f374]) ).
fof(f2221,plain,
! [X0] :
( ~ sQ179_spl
| app(sk3,X0) = nil
| ~ ssList(app(sk3,X0))
| ~ ssList(nil)
| ~ segmentP(nil,app(sk3,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2215,f339]) ).
fof(f2222,plain,
( ~ sQ179_spl
| segmentP(sk3,nil)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f989,f2215]) ).
fof(f2223,definition,
! [X0,X1] :
( sQ180_spl
<=> ( segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(app(sk3,X0))
| ~ segmentP(X1,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f2226,plain,
( ~ sQ179_spl
| ~ sQ14_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f2220,f2223,f581,f2214]) ).
fof(f2227,definition,
! [X0] :
( sQ181_spl
<=> ( app(sk3,X0) = nil
| ~ ssList(app(sk3,X0))
| ~ segmentP(nil,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f2230,plain,
( ~ sQ179_spl
| ~ sQ14_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f2221,f2227,f581,f2214]) ).
fof(f2231,definition,
( sQ182_spl
<=> segmentP(sk3,nil) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f2232,plain,
( ~ sQ182_spl
| segmentP(sk3,nil) ),
inference(component_clause,[status(thm)],[f2231]) ).
fof(f2234,plain,
( ~ sQ179_spl
| sQ182_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2222,f581,f2231,f2214]) ).
fof(f2236,plain,
! [X0] :
( ~ sQ182_spl
| segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ segmentP(X0,sk3) ),
inference(resolution,[status(thm)],[f2232,f374]) ).
fof(f2239,definition,
! [X0] :
( sQ183_spl
<=> ( segmentP(X0,nil)
| ~ ssList(X0)
| ~ segmentP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f2242,plain,
( ~ sQ182_spl
| ~ sQ12_spl
| ~ sQ14_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f2236,f2239,f581,f572,f2231]) ).
fof(f2248,plain,
! [X0] :
( ~ sQ135_spl
| ~ ssList(nil)
| rearsegP(skaf51(X0),nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f1876,f257]) ).
fof(f2249,plain,
! [X0,X1,X2] :
( ~ sQ135_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf51(X1),X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1876,f376]) ).
fof(f2251,definition,
! [X0] :
( sQ185_spl
<=> rearsegP(skaf51(X0),nil) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f2252,plain,
! [X0] :
( ~ sQ185_spl
| rearsegP(skaf51(X0),nil) ),
inference(component_clause,[status(thm)],[f2251]) ).
fof(f2255,plain,
( ~ sQ135_spl
| sQ185_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2248,f581,f2251,f1859]) ).
fof(f2256,definition,
! [X0,X1,X2] :
( sQ186_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf51(X1),X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f2259,plain,
( ~ sQ135_spl
| ~ sQ14_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f2249,f2256,f581,f1859]) ).
fof(f2262,plain,
! [X0,X1,X2] :
( ~ sQ185_spl
| ~ ssList(skaf51(X2))
| ~ rearsegP(X1,skaf51(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f2252,f852]) ).
fof(f2263,plain,
! [X0] :
( ~ sQ185_spl
| ~ ssList(nil)
| ~ rearsegP(nil,skaf51(X0))
| nil = skaf51(X0)
| ~ ssList(nil)
| ~ ssList(skaf51(X0))
| ~ ssList(skaf51(X0))
| ~ rearsegP(nil,skaf51(X0)) ),
inference(resolution,[status(thm)],[f2252,f852]) ).
fof(f2264,plain,
! [X0,X1,X2] :
( ~ sQ185_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf51(X1)) ),
inference(resolution,[status(thm)],[f2252,f852]) ).
fof(f2266,plain,
! [X0,X1,X2] :
( ~ sQ185_spl
| ~ ssList(X2)
| ~ rearsegP(X2,skaf51(X1))
| ~ rearsegP(X0,X2)
| nil = skaf51(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f2252,f852]) ).
fof(f2268,plain,
! [X0,X1] :
( ~ sQ185_spl
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf51(X1)) ),
inference(resolution,[status(thm)],[f2252,f727]) ).
fof(f2269,plain,
! [X0] :
( ~ sQ185_spl
| skaf51(X0) = nil
| ~ ssList(skaf51(X0))
| ~ ssList(nil)
| ~ rearsegP(nil,skaf51(X0)) ),
inference(resolution,[status(thm)],[f2252,f340]) ).
fof(f2270,definition,
! [X0,X1,X2] :
( sQ187_spl
<=> ( ~ ssList(skaf51(X2))
| ~ rearsegP(X1,skaf51(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f2273,plain,
( ~ sQ185_spl
| ~ sQ14_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f2262,f2270,f581,f2251]) ).
fof(f2274,definition,
! [X0] :
( sQ188_spl
<=> ( ~ rearsegP(nil,skaf51(X0))
| nil = skaf51(X0)
| ~ ssList(skaf51(X0))
| ~ ssList(skaf51(X0))
| ~ rearsegP(nil,skaf51(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f2277,plain,
( ~ sQ185_spl
| ~ sQ14_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f2263,f2274,f581,f2251]) ).
fof(f2278,definition,
! [X0,X1,X2] :
( sQ189_spl
<=> ( ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf51(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f2281,plain,
( ~ sQ185_spl
| ~ sQ14_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f2264,f2278,f581,f2251]) ).
fof(f2283,definition,
! [X0,X1,X2] :
( sQ190_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,skaf51(X1))
| ~ rearsegP(X0,X2)
| nil = skaf51(X1)
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f2286,plain,
( ~ sQ185_spl
| ~ sQ14_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f2266,f2283,f581,f2251]) ).
fof(f2287,definition,
! [X0,X1] :
( sQ191_spl
<=> ( nil = skaf51(X1)
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ~ rearsegP(X0,skaf51(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f2291,definition,
! [X0,X1] :
( sQ192_spl
<=> ( X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ~ rearsegP(X0,skaf51(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f2294,plain,
( ~ sQ185_spl
| ~ sQ14_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f2268,f2291,f581,f2251]) ).
fof(f2295,definition,
! [X0] :
( sQ193_spl
<=> ( skaf51(X0) = nil
| ~ ssList(skaf51(X0))
| ~ rearsegP(nil,skaf51(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f2298,plain,
( ~ sQ185_spl
| ~ sQ14_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f2269,f2295,f581,f2251]) ).
fof(f2303,plain,
! [X0] :
( ~ sQ142_spl
| ~ ssList(nil)
| rearsegP(skaf52(X0),nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f1925,f257]) ).
fof(f2304,plain,
! [X0,X1,X2] :
( ~ sQ142_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf52(X1),X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1925,f376]) ).
fof(f2306,definition,
! [X0] :
( sQ194_spl
<=> rearsegP(skaf52(X0),nil) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f2307,plain,
! [X0] :
( ~ sQ194_spl
| rearsegP(skaf52(X0),nil) ),
inference(component_clause,[status(thm)],[f2306]) ).
fof(f2310,plain,
( ~ sQ142_spl
| sQ194_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2303,f581,f2306,f1908]) ).
fof(f2311,definition,
! [X0,X1,X2] :
( sQ195_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf52(X1),X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f2314,plain,
( ~ sQ142_spl
| ~ sQ14_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f2304,f2311,f581,f1908]) ).
fof(f2317,plain,
! [X0,X1,X2] :
( ~ sQ194_spl
| ~ ssList(skaf52(X2))
| ~ rearsegP(X1,skaf52(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f2307,f852]) ).
fof(f2318,plain,
! [X0] :
( ~ sQ194_spl
| ~ ssList(nil)
| ~ rearsegP(nil,skaf52(X0))
| nil = skaf52(X0)
| ~ ssList(nil)
| ~ ssList(skaf52(X0))
| ~ ssList(skaf52(X0))
| ~ rearsegP(nil,skaf52(X0)) ),
inference(resolution,[status(thm)],[f2307,f852]) ).
fof(f2319,plain,
! [X0,X1,X2] :
( ~ sQ194_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf52(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf52(X1)) ),
inference(resolution,[status(thm)],[f2307,f852]) ).
fof(f2321,plain,
! [X0,X1,X2] :
( ~ sQ194_spl
| ~ ssList(X2)
| ~ rearsegP(X2,skaf52(X1))
| ~ rearsegP(X0,X2)
| nil = skaf52(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf52(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f2307,f852]) ).
fof(f2323,plain,
! [X0,X1] :
( ~ sQ194_spl
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf52(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf52(X1)) ),
inference(resolution,[status(thm)],[f2307,f727]) ).
fof(f2324,plain,
! [X0] :
( ~ sQ194_spl
| skaf52(X0) = nil
| ~ ssList(skaf52(X0))
| ~ ssList(nil)
| ~ rearsegP(nil,skaf52(X0)) ),
inference(resolution,[status(thm)],[f2307,f340]) ).
fof(f2325,definition,
! [X0,X1,X2] :
( sQ196_spl
<=> ( ~ ssList(skaf52(X2))
| ~ rearsegP(X1,skaf52(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f2328,plain,
( ~ sQ194_spl
| ~ sQ14_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f2317,f2325,f581,f2306]) ).
fof(f2329,definition,
! [X0] :
( sQ197_spl
<=> ( ~ rearsegP(nil,skaf52(X0))
| nil = skaf52(X0)
| ~ ssList(skaf52(X0))
| ~ ssList(skaf52(X0))
| ~ rearsegP(nil,skaf52(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f2332,plain,
( ~ sQ194_spl
| ~ sQ14_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f2318,f2329,f581,f2306]) ).
fof(f2333,definition,
! [X0,X1,X2] :
( sQ198_spl
<=> ( ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf52(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf52(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f2336,plain,
( ~ sQ194_spl
| ~ sQ14_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f2319,f2333,f581,f2306]) ).
fof(f2338,definition,
! [X0,X1,X2] :
( sQ199_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,skaf52(X1))
| ~ rearsegP(X0,X2)
| nil = skaf52(X1)
| ~ ssList(X0)
| ~ ssList(skaf52(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f2341,plain,
( ~ sQ194_spl
| ~ sQ14_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f2321,f2338,f581,f2306]) ).
fof(f2342,definition,
! [X0,X1] :
( sQ200_spl
<=> ( nil = skaf52(X1)
| ~ ssList(X0)
| ~ ssList(skaf52(X1))
| ~ rearsegP(X0,skaf52(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f2346,definition,
! [X0,X1] :
( sQ201_spl
<=> ( X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf52(X1))
| ~ rearsegP(X0,skaf52(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f2349,plain,
( ~ sQ194_spl
| ~ sQ14_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f2323,f2346,f581,f2306]) ).
fof(f2350,definition,
! [X0] :
( sQ202_spl
<=> ( skaf52(X0) = nil
| ~ ssList(skaf52(X0))
| ~ rearsegP(nil,skaf52(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f2353,plain,
( ~ sQ194_spl
| ~ sQ14_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f2324,f2350,f581,f2306]) ).
fof(f2358,plain,
! [X0] :
( ~ sQ149_spl
| ~ ssList(nil)
| rearsegP(skaf53(X0),nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f1974,f257]) ).
fof(f2359,plain,
! [X0,X1,X2] :
( ~ sQ149_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf53(X1),X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1974,f376]) ).
fof(f2361,definition,
! [X0] :
( sQ203_spl
<=> rearsegP(skaf53(X0),nil) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f2362,plain,
! [X0] :
( ~ sQ203_spl
| rearsegP(skaf53(X0),nil) ),
inference(component_clause,[status(thm)],[f2361]) ).
fof(f2365,plain,
( ~ sQ149_spl
| sQ203_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2358,f581,f2361,f1957]) ).
fof(f2366,definition,
! [X0,X1,X2] :
( sQ204_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf53(X1),X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f2369,plain,
( ~ sQ149_spl
| ~ sQ14_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f2359,f2366,f581,f1957]) ).
fof(f2372,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf61(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf61(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf61(X1),nil)) ),
inference(paramodulation,[status(thm)],[f1002,f841]) ).
fof(f2373,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf58(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf58(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf58(X1),nil)) ),
inference(paramodulation,[status(thm)],[f1001,f841]) ).
fof(f2374,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf57(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf57(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf57(X1),nil)) ),
inference(paramodulation,[status(thm)],[f1000,f841]) ).
fof(f2375,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf56(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf56(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf56(X1),nil)) ),
inference(paramodulation,[status(thm)],[f999,f841]) ).
fof(f2376,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf53(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf53(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf53(X1),nil)) ),
inference(paramodulation,[status(thm)],[f998,f841]) ).
fof(f2377,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf52(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf52(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf52(X1),nil)) ),
inference(paramodulation,[status(thm)],[f997,f841]) ).
fof(f2378,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf51(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf51(X1),nil)) ),
inference(paramodulation,[status(thm)],[f996,f841]) ).
fof(f2379,plain,
! [X0,X1] :
( ~ ssList(nil)
| ~ ssList(sk3)
| ~ rearsegP(nil,X1)
| X0 = X1
| ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ rearsegP(X0,app(sk3,nil)) ),
inference(paramodulation,[status(thm)],[f989,f841]) ).
fof(f2380,plain,
! [X0,X1] :
( ~ ssList(nil)
| ~ ssList(sk4)
| ~ rearsegP(nil,X1)
| X0 = X1
| ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ rearsegP(X0,app(sk4,nil)) ),
inference(paramodulation,[status(thm)],[f1018,f841]) ).
fof(f2381,plain,
! [X0,X1] :
( ~ ssList(nil)
| ~ ssList(nil)
| ~ rearsegP(nil,X1)
| X0 = X1
| ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(X0,app(nil,nil)) ),
inference(paramodulation,[status(thm)],[f1004,f841]) ).
fof(f2382,plain,
! [X0,X1] :
( ~ ssList(sk3)
| ~ ssList(nil)
| ~ rearsegP(sk3,X1)
| X0 = X1
| ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ rearsegP(X0,app(nil,sk3)) ),
inference(paramodulation,[status(thm)],[f1206,f841]) ).
fof(f2383,plain,
! [X0,X1] :
( ~ ssList(sk4)
| ~ ssList(nil)
| ~ rearsegP(sk4,X1)
| X0 = X1
| ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ rearsegP(X0,app(nil,sk4)) ),
inference(paramodulation,[status(thm)],[f1235,f841]) ).
fof(f2384,definition,
! [X0,X1,X2] :
( sQ205_spl
<=> ( ~ ssList(skaf61(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf61(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf61(X1),nil)) ) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f2387,plain,
( ~ sQ14_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f2372,f2384,f581]) ).
fof(f2388,definition,
! [X0,X1,X2] :
( sQ206_spl
<=> ( ~ ssList(skaf58(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf58(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf58(X1),nil)) ) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f2391,plain,
( ~ sQ14_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f2373,f2388,f581]) ).
fof(f2392,definition,
! [X0,X1,X2] :
( sQ207_spl
<=> ( ~ ssList(skaf57(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf57(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf57(X1),nil)) ) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f2395,plain,
( ~ sQ14_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f2374,f2392,f581]) ).
fof(f2396,definition,
! [X0,X1,X2] :
( sQ208_spl
<=> ( ~ ssList(skaf56(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf56(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf56(X1),nil)) ) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f2399,plain,
( ~ sQ14_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f2375,f2396,f581]) ).
fof(f2400,definition,
! [X0,X1,X2] :
( sQ209_spl
<=> ( ~ ssList(skaf53(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf53(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf53(X1),nil)) ) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f2403,plain,
( ~ sQ14_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f2376,f2400,f581]) ).
fof(f2404,definition,
! [X0,X1,X2] :
( sQ210_spl
<=> ( ~ ssList(skaf52(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf52(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf52(X1),nil)) ) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f2407,plain,
( ~ sQ14_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f2377,f2404,f581]) ).
fof(f2408,definition,
! [X0,X1,X2] :
( sQ211_spl
<=> ( ~ ssList(skaf51(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf51(X1),nil)) ) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f2411,plain,
( ~ sQ14_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f2378,f2408,f581]) ).
fof(f2412,definition,
! [X0,X1] :
( sQ212_spl
<=> ( ~ rearsegP(nil,X1)
| X0 = X1
| ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,app(sk3,nil)) ) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f2415,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f2379,f2412,f572,f581]) ).
fof(f2416,definition,
! [X0,X1] :
( sQ213_spl
<=> ( ~ rearsegP(nil,X1)
| X0 = X1
| ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,app(sk4,nil)) ) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f2419,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f2380,f2416,f554,f581]) ).
fof(f2420,definition,
! [X0,X1] :
( sQ214_spl
<=> ( ~ rearsegP(nil,X1)
| X0 = X1
| ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,app(nil,nil)) ) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f2423,plain,
( ~ sQ14_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f2381,f2420,f581]) ).
fof(f2424,definition,
! [X0,X1] :
( sQ215_spl
<=> ( ~ rearsegP(sk3,X1)
| X0 = X1
| ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,app(nil,sk3)) ) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f2427,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f2382,f2424,f572,f581]) ).
fof(f2428,definition,
! [X0,X1] :
( sQ216_spl
<=> ( ~ rearsegP(sk4,X1)
| X0 = X1
| ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,app(nil,sk4)) ) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f2431,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f2383,f2428,f554,f581]) ).
fof(f2459,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf61(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf61(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf61(X2))
| ~ rearsegP(X1,app(skaf61(X2),nil))
| ~ rearsegP(X0,X1) ),
inference(paramodulation,[status(thm)],[f1002,f855]) ).
fof(f2460,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf58(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf58(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf58(X2))
| ~ rearsegP(X1,app(skaf58(X2),nil))
| ~ rearsegP(X0,X1) ),
inference(paramodulation,[status(thm)],[f1001,f855]) ).
fof(f2461,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf57(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf57(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf57(X2))
| ~ rearsegP(X1,app(skaf57(X2),nil))
| ~ rearsegP(X0,X1) ),
inference(paramodulation,[status(thm)],[f1000,f855]) ).
fof(f2462,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf56(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf56(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf56(X2))
| ~ rearsegP(X1,app(skaf56(X2),nil))
| ~ rearsegP(X0,X1) ),
inference(paramodulation,[status(thm)],[f999,f855]) ).
fof(f2463,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf53(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf53(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf53(X2))
| ~ rearsegP(X1,app(skaf53(X2),nil))
| ~ rearsegP(X0,X1) ),
inference(paramodulation,[status(thm)],[f998,f855]) ).
fof(f2464,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf52(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf52(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf52(X2))
| ~ rearsegP(X1,app(skaf52(X2),nil))
| ~ rearsegP(X0,X1) ),
inference(paramodulation,[status(thm)],[f997,f855]) ).
fof(f2465,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf51(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf51(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf51(X2))
| ~ rearsegP(X1,app(skaf51(X2),nil))
| ~ rearsegP(X0,X1) ),
inference(paramodulation,[status(thm)],[f996,f855]) ).
fof(f2466,plain,
! [X0,X1] :
( ~ ssList(nil)
| ~ ssList(sk3)
| ~ rearsegP(nil,X0)
| X0 = app(sk3,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk3)
| ~ rearsegP(X1,app(sk3,nil))
| ~ rearsegP(X0,X1) ),
inference(paramodulation,[status(thm)],[f989,f855]) ).
fof(f2467,plain,
! [X0,X1] :
( ~ ssList(nil)
| ~ ssList(sk4)
| ~ rearsegP(nil,X0)
| X0 = app(sk4,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk4)
| ~ rearsegP(X1,app(sk4,nil))
| ~ rearsegP(X0,X1) ),
inference(paramodulation,[status(thm)],[f1018,f855]) ).
fof(f2468,plain,
! [X0,X1] :
( ~ ssList(nil)
| ~ ssList(nil)
| ~ rearsegP(nil,X0)
| X0 = app(nil,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(X1,app(nil,nil))
| ~ rearsegP(X0,X1) ),
inference(paramodulation,[status(thm)],[f1004,f855]) ).
fof(f2469,plain,
! [X0,X1] :
( ~ ssList(sk3)
| ~ ssList(nil)
| ~ rearsegP(sk3,X0)
| X0 = app(nil,sk3)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk3)
| ~ rearsegP(X1,app(nil,sk3))
| ~ rearsegP(X0,X1) ),
inference(paramodulation,[status(thm)],[f1206,f855]) ).
fof(f2470,plain,
! [X0,X1] :
( ~ ssList(sk4)
| ~ ssList(nil)
| ~ rearsegP(sk4,X0)
| X0 = app(nil,sk4)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk4)
| ~ rearsegP(X1,app(nil,sk4))
| ~ rearsegP(X0,X1) ),
inference(paramodulation,[status(thm)],[f1235,f855]) ).
fof(f2471,definition,
! [X0,X1,X2] :
( sQ217_spl
<=> ( ~ ssList(skaf61(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf61(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf61(X2))
| ~ rearsegP(X1,app(skaf61(X2),nil))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f2474,plain,
( ~ sQ14_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f2459,f2471,f581]) ).
fof(f2475,definition,
! [X0,X1,X2] :
( sQ218_spl
<=> ( ~ ssList(skaf58(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf58(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf58(X2))
| ~ rearsegP(X1,app(skaf58(X2),nil))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f2478,plain,
( ~ sQ14_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f2460,f2475,f581]) ).
fof(f2479,definition,
! [X0,X1,X2] :
( sQ219_spl
<=> ( ~ ssList(skaf57(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf57(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf57(X2))
| ~ rearsegP(X1,app(skaf57(X2),nil))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f2482,plain,
( ~ sQ14_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f2461,f2479,f581]) ).
fof(f2483,definition,
! [X0,X1,X2] :
( sQ220_spl
<=> ( ~ ssList(skaf56(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf56(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf56(X2))
| ~ rearsegP(X1,app(skaf56(X2),nil))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f2486,plain,
( ~ sQ14_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f2462,f2483,f581]) ).
fof(f2487,definition,
! [X0,X1,X2] :
( sQ221_spl
<=> ( ~ ssList(skaf53(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf53(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf53(X2))
| ~ rearsegP(X1,app(skaf53(X2),nil))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f2490,plain,
( ~ sQ14_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f2463,f2487,f581]) ).
fof(f2491,definition,
! [X0,X1,X2] :
( sQ222_spl
<=> ( ~ ssList(skaf52(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf52(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf52(X2))
| ~ rearsegP(X1,app(skaf52(X2),nil))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f2494,plain,
( ~ sQ14_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f2464,f2491,f581]) ).
fof(f2495,definition,
! [X0,X1,X2] :
( sQ223_spl
<=> ( ~ ssList(skaf51(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf51(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf51(X2))
| ~ rearsegP(X1,app(skaf51(X2),nil))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f2498,plain,
( ~ sQ14_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f2465,f2495,f581]) ).
fof(f2499,definition,
! [X0,X1] :
( sQ224_spl
<=> ( ~ rearsegP(nil,X0)
| X0 = app(sk3,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,app(sk3,nil))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f2502,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f2466,f2499,f572,f581]) ).
fof(f2503,definition,
! [X0,X1] :
( sQ225_spl
<=> ( ~ rearsegP(nil,X0)
| X0 = app(sk4,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,app(sk4,nil))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f2506,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f2467,f2503,f554,f581]) ).
fof(f2507,definition,
! [X0,X1] :
( sQ226_spl
<=> ( ~ rearsegP(nil,X0)
| X0 = app(nil,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,app(nil,nil))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f2510,plain,
( ~ sQ14_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f2468,f2507,f581]) ).
fof(f2511,definition,
! [X0,X1] :
( sQ227_spl
<=> ( ~ rearsegP(sk3,X0)
| X0 = app(nil,sk3)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,app(nil,sk3))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f2514,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f2469,f2511,f572,f581]) ).
fof(f2515,definition,
! [X0,X1] :
( sQ228_spl
<=> ( ~ rearsegP(sk4,X0)
| X0 = app(nil,sk4)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,app(nil,sk4))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f2518,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f2470,f2515,f554,f581]) ).
fof(f2557,plain,
! [X0,X1,X2] :
( ~ sQ203_spl
| ~ ssList(skaf53(X2))
| ~ rearsegP(X1,skaf53(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f2362,f852]) ).
fof(f2558,plain,
! [X0] :
( ~ sQ203_spl
| ~ ssList(nil)
| ~ rearsegP(nil,skaf53(X0))
| nil = skaf53(X0)
| ~ ssList(nil)
| ~ ssList(skaf53(X0))
| ~ ssList(skaf53(X0))
| ~ rearsegP(nil,skaf53(X0)) ),
inference(resolution,[status(thm)],[f2362,f852]) ).
fof(f2559,plain,
! [X0,X1,X2] :
( ~ sQ203_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf53(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf53(X1)) ),
inference(resolution,[status(thm)],[f2362,f852]) ).
fof(f2561,plain,
! [X0,X1,X2] :
( ~ sQ203_spl
| ~ ssList(X2)
| ~ rearsegP(X2,skaf53(X1))
| ~ rearsegP(X0,X2)
| nil = skaf53(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf53(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f2362,f852]) ).
fof(f2563,plain,
! [X0,X1] :
( ~ sQ203_spl
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf53(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf53(X1)) ),
inference(resolution,[status(thm)],[f2362,f727]) ).
fof(f2564,plain,
! [X0] :
( ~ sQ203_spl
| skaf53(X0) = nil
| ~ ssList(skaf53(X0))
| ~ ssList(nil)
| ~ rearsegP(nil,skaf53(X0)) ),
inference(resolution,[status(thm)],[f2362,f340]) ).
fof(f2565,definition,
! [X0,X1,X2] :
( sQ229_spl
<=> ( ~ ssList(skaf53(X2))
| ~ rearsegP(X1,skaf53(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f2568,plain,
( ~ sQ203_spl
| ~ sQ14_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f2557,f2565,f581,f2361]) ).
fof(f2569,definition,
! [X0] :
( sQ230_spl
<=> ( ~ rearsegP(nil,skaf53(X0))
| nil = skaf53(X0)
| ~ ssList(skaf53(X0))
| ~ ssList(skaf53(X0))
| ~ rearsegP(nil,skaf53(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f2572,plain,
( ~ sQ203_spl
| ~ sQ14_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f2558,f2569,f581,f2361]) ).
fof(f2573,definition,
! [X0,X1,X2] :
( sQ231_spl
<=> ( ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf53(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf53(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f2576,plain,
( ~ sQ203_spl
| ~ sQ14_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f2559,f2573,f581,f2361]) ).
fof(f2578,definition,
! [X0,X1,X2] :
( sQ232_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,skaf53(X1))
| ~ rearsegP(X0,X2)
| nil = skaf53(X1)
| ~ ssList(X0)
| ~ ssList(skaf53(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f2581,plain,
( ~ sQ203_spl
| ~ sQ14_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f2561,f2578,f581,f2361]) ).
fof(f2582,definition,
! [X0,X1] :
( sQ233_spl
<=> ( nil = skaf53(X1)
| ~ ssList(X0)
| ~ ssList(skaf53(X1))
| ~ rearsegP(X0,skaf53(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f2586,definition,
! [X0,X1] :
( sQ234_spl
<=> ( X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf53(X1))
| ~ rearsegP(X0,skaf53(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f2589,plain,
( ~ sQ203_spl
| ~ sQ14_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f2563,f2586,f581,f2361]) ).
fof(f2590,definition,
! [X0] :
( sQ235_spl
<=> ( skaf53(X0) = nil
| ~ ssList(skaf53(X0))
| ~ rearsegP(nil,skaf53(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f2593,plain,
( ~ sQ203_spl
| ~ sQ14_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f2564,f2590,f581,f2361]) ).
fof(f2597,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf62(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf62(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf62(X2))
| ~ rearsegP(X1,app(skaf62(X2),nil))
| ~ rearsegP(X0,X1) ),
inference(paramodulation,[status(thm)],[f1003,f855]) ).
fof(f2598,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf62(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf62(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf62(X1),nil)) ),
inference(paramodulation,[status(thm)],[f1003,f841]) ).
fof(f2599,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)],[f1003,f742]) ).
fof(f2600,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)],[f1003,f741]) ).
fof(f2601,plain,
! [X0,X1] :
( app(skaf62(X1),nil) = X0
| ~ ssList(skaf62(X1))
| ~ rearsegP(X0,app(skaf62(X1),nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf62(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1003,f670]) ).
fof(f2602,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)],[f1003,f501]) ).
fof(f2603,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)],[f1003,f404]) ).
fof(f2604,plain,
! [X0] :
( rearsegP(app(skaf62(X0),nil),nil)
| ~ ssList(skaf62(X0))
| ~ ssList(nil)
| ~ ssList(skaf62(X0)) ),
inference(paramodulation,[status(thm)],[f1003,f497]) ).
fof(f2605,plain,
! [X0,X1] :
( rearsegP(skaf62(X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf62(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1003,f350]) ).
fof(f2606,definition,
! [X0,X1,X2] :
( sQ236_spl
<=> ( ~ ssList(skaf62(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf62(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf62(X2))
| ~ rearsegP(X1,app(skaf62(X2),nil))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f2609,plain,
( ~ sQ14_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f2597,f2606,f581]) ).
fof(f2610,definition,
! [X0,X1,X2] :
( sQ237_spl
<=> ( ~ ssList(skaf62(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf62(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf62(X1),nil)) ) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f2613,plain,
( ~ sQ14_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f2598,f2610,f581]) ).
fof(f2614,definition,
! [X0,X1,X2] :
( sQ238_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,[sQ238_spl])],[split_symbol_definition]) ).
fof(f2617,plain,
( ~ sQ14_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f2599,f2614,f581]) ).
fof(f2618,definition,
! [X0,X1,X2,X3] :
( sQ239_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,[sQ239_spl])],[split_symbol_definition]) ).
fof(f2621,plain,
( ~ sQ14_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f2600,f2618,f581]) ).
fof(f2622,definition,
! [X0,X1] :
( sQ240_spl
<=> ( app(skaf62(X1),nil) = X0
| ~ ssList(skaf62(X1))
| ~ rearsegP(X0,app(skaf62(X1),nil))
| ~ ssList(X0)
| ~ ssList(skaf62(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f2625,plain,
( ~ sQ14_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f2601,f2622,f581]) ).
fof(f2626,definition,
! [X0,X1] :
( sQ241_spl
<=> ( segmentP(app(app(skaf62(X1),nil),X0),nil)
| ~ ssList(app(skaf62(X1),X0))
| ~ ssList(skaf62(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f2629,plain,
( ~ sQ14_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f2602,f2626,f581]) ).
fof(f2630,definition,
! [X0,X1,X2] :
( sQ242_spl
<=> ( segmentP(app(skaf62(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf62(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f2633,plain,
( ~ sQ14_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f2603,f2630,f581]) ).
fof(f2634,definition,
! [X0] :
( sQ243_spl
<=> ( rearsegP(app(skaf62(X0),nil),nil)
| ~ ssList(skaf62(X0))
| ~ ssList(skaf62(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f2637,plain,
( ~ sQ14_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f2604,f2634,f581]) ).
fof(f2638,definition,
! [X0,X1] :
( sQ244_spl
<=> ( rearsegP(skaf62(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf62(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f2639,plain,
! [X0,X1] :
( ~ sQ244_spl
| rearsegP(skaf62(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf62(X1))
| ~ rearsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f2638]) ).
fof(f2641,plain,
( ~ sQ14_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f2605,f2638,f581]) ).
fof(f2662,plain,
! [X0,X1] :
( ~ sQ244_spl
| rearsegP(skaf62(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2639,f232]) ).
fof(f2663,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf63(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf63(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf63(X2))
| ~ rearsegP(X1,app(skaf63(X2),nil))
| ~ rearsegP(X0,X1) ),
inference(paramodulation,[status(thm)],[f1005,f855]) ).
fof(f2664,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf63(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf63(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf63(X1),nil)) ),
inference(paramodulation,[status(thm)],[f1005,f841]) ).
fof(f2665,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)],[f1005,f742]) ).
fof(f2666,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)],[f1005,f741]) ).
fof(f2667,plain,
! [X0,X1] :
( app(skaf63(X1),nil) = X0
| ~ ssList(skaf63(X1))
| ~ rearsegP(X0,app(skaf63(X1),nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf63(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1005,f670]) ).
fof(f2668,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)],[f1005,f501]) ).
fof(f2669,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)],[f1005,f404]) ).
fof(f2670,plain,
! [X0] :
( rearsegP(app(skaf63(X0),nil),nil)
| ~ ssList(skaf63(X0))
| ~ ssList(nil)
| ~ ssList(skaf63(X0)) ),
inference(paramodulation,[status(thm)],[f1005,f497]) ).
fof(f2671,plain,
! [X0,X1] :
( rearsegP(skaf63(X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf63(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1005,f350]) ).
fof(f2672,definition,
! [X0,X1,X2] :
( sQ245_spl
<=> ( ~ ssList(skaf63(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf63(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf63(X2))
| ~ rearsegP(X1,app(skaf63(X2),nil))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f2675,plain,
( ~ sQ14_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f2663,f2672,f581]) ).
fof(f2676,definition,
! [X0,X1,X2] :
( sQ246_spl
<=> ( ~ ssList(skaf63(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf63(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf63(X1),nil)) ) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f2679,plain,
( ~ sQ14_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f2664,f2676,f581]) ).
fof(f2680,definition,
! [X0,X1,X2] :
( sQ247_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,[sQ247_spl])],[split_symbol_definition]) ).
fof(f2683,plain,
( ~ sQ14_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f2665,f2680,f581]) ).
fof(f2684,definition,
! [X0,X1,X2,X3] :
( sQ248_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,[sQ248_spl])],[split_symbol_definition]) ).
fof(f2687,plain,
( ~ sQ14_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f2666,f2684,f581]) ).
fof(f2688,definition,
! [X0,X1] :
( sQ249_spl
<=> ( app(skaf63(X1),nil) = X0
| ~ ssList(skaf63(X1))
| ~ rearsegP(X0,app(skaf63(X1),nil))
| ~ ssList(X0)
| ~ ssList(skaf63(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f2691,plain,
( ~ sQ14_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f2667,f2688,f581]) ).
fof(f2692,definition,
! [X0,X1] :
( sQ250_spl
<=> ( segmentP(app(app(skaf63(X1),nil),X0),nil)
| ~ ssList(app(skaf63(X1),X0))
| ~ ssList(skaf63(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f2695,plain,
( ~ sQ14_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f2668,f2692,f581]) ).
fof(f2696,definition,
! [X0,X1,X2] :
( sQ251_spl
<=> ( segmentP(app(skaf63(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf63(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f2699,plain,
( ~ sQ14_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f2669,f2696,f581]) ).
fof(f2700,definition,
! [X0] :
( sQ252_spl
<=> ( rearsegP(app(skaf63(X0),nil),nil)
| ~ ssList(skaf63(X0))
| ~ ssList(skaf63(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f2703,plain,
( ~ sQ14_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f2670,f2700,f581]) ).
fof(f2704,definition,
! [X0,X1] :
( sQ253_spl
<=> ( rearsegP(skaf63(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf63(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f2705,plain,
! [X0,X1] :
( ~ sQ253_spl
| rearsegP(skaf63(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf63(X1))
| ~ rearsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f2704]) ).
fof(f2707,plain,
( ~ sQ14_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f2671,f2704,f581]) ).
fof(f2728,plain,
! [X0,X1] :
( ~ sQ253_spl
| rearsegP(skaf63(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2705,f231]) ).
fof(f2729,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf66(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf66(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf66(X2))
| ~ rearsegP(X1,app(skaf66(X2),nil))
| ~ rearsegP(X0,X1) ),
inference(paramodulation,[status(thm)],[f1006,f855]) ).
fof(f2730,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf66(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf66(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf66(X1),nil)) ),
inference(paramodulation,[status(thm)],[f1006,f841]) ).
fof(f2731,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)],[f1006,f742]) ).
fof(f2732,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)],[f1006,f741]) ).
fof(f2733,plain,
! [X0,X1] :
( app(skaf66(X1),nil) = X0
| ~ ssList(skaf66(X1))
| ~ rearsegP(X0,app(skaf66(X1),nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf66(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1006,f670]) ).
fof(f2734,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)],[f1006,f501]) ).
fof(f2735,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)],[f1006,f404]) ).
fof(f2736,plain,
! [X0] :
( rearsegP(app(skaf66(X0),nil),nil)
| ~ ssList(skaf66(X0))
| ~ ssList(nil)
| ~ ssList(skaf66(X0)) ),
inference(paramodulation,[status(thm)],[f1006,f497]) ).
fof(f2737,plain,
! [X0,X1] :
( rearsegP(skaf66(X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf66(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1006,f350]) ).
fof(f2738,definition,
! [X0,X1,X2] :
( sQ254_spl
<=> ( ~ ssList(skaf66(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf66(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf66(X2))
| ~ rearsegP(X1,app(skaf66(X2),nil))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f2741,plain,
( ~ sQ14_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f2729,f2738,f581]) ).
fof(f2742,definition,
! [X0,X1,X2] :
( sQ255_spl
<=> ( ~ ssList(skaf66(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf66(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf66(X1),nil)) ) ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f2745,plain,
( ~ sQ14_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f2730,f2742,f581]) ).
fof(f2746,definition,
! [X0,X1,X2] :
( sQ256_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,[sQ256_spl])],[split_symbol_definition]) ).
fof(f2749,plain,
( ~ sQ14_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f2731,f2746,f581]) ).
fof(f2750,definition,
! [X0,X1,X2,X3] :
( sQ257_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,[sQ257_spl])],[split_symbol_definition]) ).
fof(f2753,plain,
( ~ sQ14_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f2732,f2750,f581]) ).
fof(f2754,definition,
! [X0,X1] :
( sQ258_spl
<=> ( app(skaf66(X1),nil) = X0
| ~ ssList(skaf66(X1))
| ~ rearsegP(X0,app(skaf66(X1),nil))
| ~ ssList(X0)
| ~ ssList(skaf66(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f2757,plain,
( ~ sQ14_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f2733,f2754,f581]) ).
fof(f2758,definition,
! [X0,X1] :
( sQ259_spl
<=> ( segmentP(app(app(skaf66(X1),nil),X0),nil)
| ~ ssList(app(skaf66(X1),X0))
| ~ ssList(skaf66(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f2761,plain,
( ~ sQ14_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f2734,f2758,f581]) ).
fof(f2762,definition,
! [X0,X1,X2] :
( sQ260_spl
<=> ( segmentP(app(skaf66(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf66(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f2765,plain,
( ~ sQ14_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f2735,f2762,f581]) ).
fof(f2766,definition,
! [X0] :
( sQ261_spl
<=> ( rearsegP(app(skaf66(X0),nil),nil)
| ~ ssList(skaf66(X0))
| ~ ssList(skaf66(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f2769,plain,
( ~ sQ14_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f2736,f2766,f581]) ).
fof(f2770,definition,
! [X0,X1] :
( sQ262_spl
<=> ( rearsegP(skaf66(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf66(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f2771,plain,
! [X0,X1] :
( ~ sQ262_spl
| rearsegP(skaf66(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf66(X1))
| ~ rearsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f2770]) ).
fof(f2773,plain,
( ~ sQ14_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f2737,f2770,f581]) ).
fof(f2794,plain,
! [X0,X1] :
( ~ sQ262_spl
| rearsegP(skaf66(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2771,f228]) ).
fof(f2795,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf67(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf67(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf67(X2))
| ~ rearsegP(X1,app(skaf67(X2),nil))
| ~ rearsegP(X0,X1) ),
inference(paramodulation,[status(thm)],[f1007,f855]) ).
fof(f2796,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf67(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf67(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf67(X1),nil)) ),
inference(paramodulation,[status(thm)],[f1007,f841]) ).
fof(f2797,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)],[f1007,f742]) ).
fof(f2798,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)],[f1007,f741]) ).
fof(f2799,plain,
! [X0,X1] :
( app(skaf67(X1),nil) = X0
| ~ ssList(skaf67(X1))
| ~ rearsegP(X0,app(skaf67(X1),nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf67(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1007,f670]) ).
fof(f2800,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)],[f1007,f501]) ).
fof(f2801,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)],[f1007,f404]) ).
fof(f2802,plain,
! [X0] :
( rearsegP(app(skaf67(X0),nil),nil)
| ~ ssList(skaf67(X0))
| ~ ssList(nil)
| ~ ssList(skaf67(X0)) ),
inference(paramodulation,[status(thm)],[f1007,f497]) ).
fof(f2803,plain,
! [X0,X1] :
( rearsegP(skaf67(X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf67(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1007,f350]) ).
fof(f2804,definition,
! [X0,X1,X2] :
( sQ263_spl
<=> ( ~ ssList(skaf67(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf67(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf67(X2))
| ~ rearsegP(X1,app(skaf67(X2),nil))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f2807,plain,
( ~ sQ14_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f2795,f2804,f581]) ).
fof(f2808,definition,
! [X0,X1,X2] :
( sQ264_spl
<=> ( ~ ssList(skaf67(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf67(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf67(X1),nil)) ) ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f2811,plain,
( ~ sQ14_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f2796,f2808,f581]) ).
fof(f2812,definition,
! [X0,X1,X2] :
( sQ265_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,[sQ265_spl])],[split_symbol_definition]) ).
fof(f2815,plain,
( ~ sQ14_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f2797,f2812,f581]) ).
fof(f2816,definition,
! [X0,X1,X2,X3] :
( sQ266_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,[sQ266_spl])],[split_symbol_definition]) ).
fof(f2819,plain,
( ~ sQ14_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f2798,f2816,f581]) ).
fof(f2820,definition,
! [X0,X1] :
( sQ267_spl
<=> ( app(skaf67(X1),nil) = X0
| ~ ssList(skaf67(X1))
| ~ rearsegP(X0,app(skaf67(X1),nil))
| ~ ssList(X0)
| ~ ssList(skaf67(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f2823,plain,
( ~ sQ14_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f2799,f2820,f581]) ).
fof(f2824,definition,
! [X0,X1] :
( sQ268_spl
<=> ( segmentP(app(app(skaf67(X1),nil),X0),nil)
| ~ ssList(app(skaf67(X1),X0))
| ~ ssList(skaf67(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f2827,plain,
( ~ sQ14_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f2800,f2824,f581]) ).
fof(f2828,definition,
! [X0,X1,X2] :
( sQ269_spl
<=> ( segmentP(app(skaf67(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf67(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f2831,plain,
( ~ sQ14_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f2801,f2828,f581]) ).
fof(f2832,definition,
! [X0] :
( sQ270_spl
<=> ( rearsegP(app(skaf67(X0),nil),nil)
| ~ ssList(skaf67(X0))
| ~ ssList(skaf67(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f2835,plain,
( ~ sQ14_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f2802,f2832,f581]) ).
fof(f2836,definition,
! [X0,X1] :
( sQ271_spl
<=> ( rearsegP(skaf67(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf67(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f2837,plain,
! [X0,X1] :
( ~ sQ271_spl
| rearsegP(skaf67(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf67(X1))
| ~ rearsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f2836]) ).
fof(f2839,plain,
( ~ sQ14_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f2803,f2836,f581]) ).
fof(f2860,plain,
! [X0,X1] :
( ~ sQ271_spl
| rearsegP(skaf67(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2837,f227]) ).
fof(f2861,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf68(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf68(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf68(X2))
| ~ rearsegP(X1,app(skaf68(X2),nil))
| ~ rearsegP(X0,X1) ),
inference(paramodulation,[status(thm)],[f1008,f855]) ).
fof(f2862,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf68(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf68(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf68(X1),nil)) ),
inference(paramodulation,[status(thm)],[f1008,f841]) ).
fof(f2863,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)],[f1008,f742]) ).
fof(f2864,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)],[f1008,f741]) ).
fof(f2865,plain,
! [X0,X1] :
( app(skaf68(X1),nil) = X0
| ~ ssList(skaf68(X1))
| ~ rearsegP(X0,app(skaf68(X1),nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf68(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1008,f670]) ).
fof(f2866,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)],[f1008,f501]) ).
fof(f2867,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)],[f1008,f404]) ).
fof(f2868,plain,
! [X0] :
( rearsegP(app(skaf68(X0),nil),nil)
| ~ ssList(skaf68(X0))
| ~ ssList(nil)
| ~ ssList(skaf68(X0)) ),
inference(paramodulation,[status(thm)],[f1008,f497]) ).
fof(f2869,plain,
! [X0,X1] :
( rearsegP(skaf68(X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf68(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1008,f350]) ).
fof(f2870,definition,
! [X0,X1,X2] :
( sQ272_spl
<=> ( ~ ssList(skaf68(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf68(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf68(X2))
| ~ rearsegP(X1,app(skaf68(X2),nil))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f2873,plain,
( ~ sQ14_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f2861,f2870,f581]) ).
fof(f2874,definition,
! [X0,X1,X2] :
( sQ273_spl
<=> ( ~ ssList(skaf68(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf68(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf68(X1),nil)) ) ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f2877,plain,
( ~ sQ14_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f2862,f2874,f581]) ).
fof(f2878,definition,
! [X0,X1,X2] :
( sQ274_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,[sQ274_spl])],[split_symbol_definition]) ).
fof(f2881,plain,
( ~ sQ14_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f2863,f2878,f581]) ).
fof(f2882,definition,
! [X0,X1,X2,X3] :
( sQ275_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,[sQ275_spl])],[split_symbol_definition]) ).
fof(f2885,plain,
( ~ sQ14_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f2864,f2882,f581]) ).
fof(f2886,definition,
! [X0,X1] :
( sQ276_spl
<=> ( app(skaf68(X1),nil) = X0
| ~ ssList(skaf68(X1))
| ~ rearsegP(X0,app(skaf68(X1),nil))
| ~ ssList(X0)
| ~ ssList(skaf68(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f2889,plain,
( ~ sQ14_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f2865,f2886,f581]) ).
fof(f2890,definition,
! [X0,X1] :
( sQ277_spl
<=> ( segmentP(app(app(skaf68(X1),nil),X0),nil)
| ~ ssList(app(skaf68(X1),X0))
| ~ ssList(skaf68(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f2893,plain,
( ~ sQ14_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f2866,f2890,f581]) ).
fof(f2894,definition,
! [X0,X1,X2] :
( sQ278_spl
<=> ( segmentP(app(skaf68(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf68(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f2897,plain,
( ~ sQ14_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f2867,f2894,f581]) ).
fof(f2898,definition,
! [X0] :
( sQ279_spl
<=> ( rearsegP(app(skaf68(X0),nil),nil)
| ~ ssList(skaf68(X0))
| ~ ssList(skaf68(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f2901,plain,
( ~ sQ14_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f2868,f2898,f581]) ).
fof(f2902,definition,
! [X0,X1] :
( sQ280_spl
<=> ( rearsegP(skaf68(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf68(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f2903,plain,
! [X0,X1] :
( ~ sQ280_spl
| rearsegP(skaf68(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf68(X1))
| ~ rearsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f2902]) ).
fof(f2905,plain,
( ~ sQ14_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f2869,f2902,f581]) ).
fof(f2926,plain,
! [X0,X1] :
( ~ sQ280_spl
| rearsegP(skaf68(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2903,f226]) ).
fof(f2927,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf71(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf71(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf71(X2))
| ~ rearsegP(X1,app(skaf71(X2),nil))
| ~ rearsegP(X0,X1) ),
inference(paramodulation,[status(thm)],[f1009,f855]) ).
fof(f2928,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf71(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf71(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf71(X1),nil)) ),
inference(paramodulation,[status(thm)],[f1009,f841]) ).
fof(f2929,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)],[f1009,f742]) ).
fof(f2930,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)],[f1009,f741]) ).
fof(f2931,plain,
! [X0,X1] :
( app(skaf71(X1),nil) = X0
| ~ ssList(skaf71(X1))
| ~ rearsegP(X0,app(skaf71(X1),nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf71(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1009,f670]) ).
fof(f2932,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)],[f1009,f501]) ).
fof(f2933,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)],[f1009,f404]) ).
fof(f2934,plain,
! [X0] :
( rearsegP(app(skaf71(X0),nil),nil)
| ~ ssList(skaf71(X0))
| ~ ssList(nil)
| ~ ssList(skaf71(X0)) ),
inference(paramodulation,[status(thm)],[f1009,f497]) ).
fof(f2935,plain,
! [X0,X1] :
( rearsegP(skaf71(X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf71(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1009,f350]) ).
fof(f2936,definition,
! [X0,X1,X2] :
( sQ281_spl
<=> ( ~ ssList(skaf71(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf71(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf71(X2))
| ~ rearsegP(X1,app(skaf71(X2),nil))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f2939,plain,
( ~ sQ14_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f2927,f2936,f581]) ).
fof(f2940,definition,
! [X0,X1,X2] :
( sQ282_spl
<=> ( ~ ssList(skaf71(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf71(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf71(X1),nil)) ) ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f2943,plain,
( ~ sQ14_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f2928,f2940,f581]) ).
fof(f2944,definition,
! [X0,X1,X2] :
( sQ283_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,[sQ283_spl])],[split_symbol_definition]) ).
fof(f2947,plain,
( ~ sQ14_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f2929,f2944,f581]) ).
fof(f2948,definition,
! [X0,X1,X2,X3] :
( sQ284_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,[sQ284_spl])],[split_symbol_definition]) ).
fof(f2951,plain,
( ~ sQ14_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f2930,f2948,f581]) ).
fof(f2952,definition,
! [X0,X1] :
( sQ285_spl
<=> ( app(skaf71(X1),nil) = X0
| ~ ssList(skaf71(X1))
| ~ rearsegP(X0,app(skaf71(X1),nil))
| ~ ssList(X0)
| ~ ssList(skaf71(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f2955,plain,
( ~ sQ14_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f2931,f2952,f581]) ).
fof(f2956,definition,
! [X0,X1] :
( sQ286_spl
<=> ( segmentP(app(app(skaf71(X1),nil),X0),nil)
| ~ ssList(app(skaf71(X1),X0))
| ~ ssList(skaf71(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f2959,plain,
( ~ sQ14_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f2932,f2956,f581]) ).
fof(f2960,definition,
! [X0,X1,X2] :
( sQ287_spl
<=> ( segmentP(app(skaf71(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf71(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f2963,plain,
( ~ sQ14_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f2933,f2960,f581]) ).
fof(f2964,definition,
! [X0] :
( sQ288_spl
<=> ( rearsegP(app(skaf71(X0),nil),nil)
| ~ ssList(skaf71(X0))
| ~ ssList(skaf71(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f2967,plain,
( ~ sQ14_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f2934,f2964,f581]) ).
fof(f2968,definition,
! [X0,X1] :
( sQ289_spl
<=> ( rearsegP(skaf71(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf71(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f2969,plain,
! [X0,X1] :
( ~ sQ289_spl
| rearsegP(skaf71(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf71(X1))
| ~ rearsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f2968]) ).
fof(f2971,plain,
( ~ sQ14_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f2935,f2968,f581]) ).
fof(f2992,plain,
! [X0,X1] :
( ~ sQ289_spl
| rearsegP(skaf71(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2969,f223]) ).
fof(f2993,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf72(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf72(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf72(X2))
| ~ rearsegP(X1,app(skaf72(X2),nil))
| ~ rearsegP(X0,X1) ),
inference(paramodulation,[status(thm)],[f1010,f855]) ).
fof(f2994,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf72(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf72(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf72(X1),nil)) ),
inference(paramodulation,[status(thm)],[f1010,f841]) ).
fof(f2995,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)],[f1010,f742]) ).
fof(f2996,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)],[f1010,f741]) ).
fof(f2997,plain,
! [X0,X1] :
( app(skaf72(X1),nil) = X0
| ~ ssList(skaf72(X1))
| ~ rearsegP(X0,app(skaf72(X1),nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf72(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1010,f670]) ).
fof(f2998,plain,
! [X0,X1] :
( segmentP(app(app(skaf72(X1),nil),X0),nil)
| ~ ssList(app(skaf72(X1),X0))
| ~ ssList(nil)
| ~ ssList(skaf72(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1010,f501]) ).
fof(f2999,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)],[f1010,f404]) ).
fof(f3000,plain,
! [X0] :
( rearsegP(app(skaf72(X0),nil),nil)
| ~ ssList(skaf72(X0))
| ~ ssList(nil)
| ~ ssList(skaf72(X0)) ),
inference(paramodulation,[status(thm)],[f1010,f497]) ).
fof(f3001,plain,
! [X0,X1] :
( rearsegP(skaf72(X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf72(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1010,f350]) ).
fof(f3002,definition,
! [X0,X1,X2] :
( sQ290_spl
<=> ( ~ ssList(skaf72(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf72(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf72(X2))
| ~ rearsegP(X1,app(skaf72(X2),nil))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f3005,plain,
( ~ sQ14_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f2993,f3002,f581]) ).
fof(f3006,definition,
! [X0,X1,X2] :
( sQ291_spl
<=> ( ~ ssList(skaf72(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf72(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf72(X1),nil)) ) ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f3009,plain,
( ~ sQ14_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f2994,f3006,f581]) ).
fof(f3010,definition,
! [X0,X1,X2] :
( sQ292_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,[sQ292_spl])],[split_symbol_definition]) ).
fof(f3013,plain,
( ~ sQ14_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f2995,f3010,f581]) ).
fof(f3014,definition,
! [X0,X1,X2,X3] :
( sQ293_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,[sQ293_spl])],[split_symbol_definition]) ).
fof(f3017,plain,
( ~ sQ14_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f2996,f3014,f581]) ).
fof(f3018,definition,
! [X0,X1] :
( sQ294_spl
<=> ( app(skaf72(X1),nil) = X0
| ~ ssList(skaf72(X1))
| ~ rearsegP(X0,app(skaf72(X1),nil))
| ~ ssList(X0)
| ~ ssList(skaf72(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f3021,plain,
( ~ sQ14_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f2997,f3018,f581]) ).
fof(f3022,definition,
! [X0,X1] :
( sQ295_spl
<=> ( segmentP(app(app(skaf72(X1),nil),X0),nil)
| ~ ssList(app(skaf72(X1),X0))
| ~ ssList(skaf72(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f3025,plain,
( ~ sQ14_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f2998,f3022,f581]) ).
fof(f3026,definition,
! [X0,X1,X2] :
( sQ296_spl
<=> ( segmentP(app(skaf72(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf72(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f3029,plain,
( ~ sQ14_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f2999,f3026,f581]) ).
fof(f3030,definition,
! [X0] :
( sQ297_spl
<=> ( rearsegP(app(skaf72(X0),nil),nil)
| ~ ssList(skaf72(X0))
| ~ ssList(skaf72(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f3033,plain,
( ~ sQ14_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f3000,f3030,f581]) ).
fof(f3034,definition,
! [X0,X1] :
( sQ298_spl
<=> ( rearsegP(skaf72(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf72(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f3035,plain,
! [X0,X1] :
( ~ sQ298_spl
| rearsegP(skaf72(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf72(X1))
| ~ rearsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f3034]) ).
fof(f3037,plain,
( ~ sQ14_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f3001,f3034,f581]) ).
fof(f3058,plain,
! [X0,X1] :
( ~ sQ298_spl
| rearsegP(skaf72(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3035,f222]) ).
fof(f3059,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf73(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf73(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf73(X2))
| ~ rearsegP(X1,app(skaf73(X2),nil))
| ~ rearsegP(X0,X1) ),
inference(paramodulation,[status(thm)],[f1011,f855]) ).
fof(f3060,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf73(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf73(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf73(X1),nil)) ),
inference(paramodulation,[status(thm)],[f1011,f841]) ).
fof(f3061,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)],[f1011,f742]) ).
fof(f3062,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)],[f1011,f741]) ).
fof(f3063,plain,
! [X0,X1] :
( app(skaf73(X1),nil) = X0
| ~ ssList(skaf73(X1))
| ~ rearsegP(X0,app(skaf73(X1),nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf73(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1011,f670]) ).
fof(f3064,plain,
! [X0,X1] :
( segmentP(app(app(skaf73(X1),nil),X0),nil)
| ~ ssList(app(skaf73(X1),X0))
| ~ ssList(nil)
| ~ ssList(skaf73(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1011,f501]) ).
fof(f3065,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)],[f1011,f404]) ).
fof(f3066,plain,
! [X0] :
( rearsegP(app(skaf73(X0),nil),nil)
| ~ ssList(skaf73(X0))
| ~ ssList(nil)
| ~ ssList(skaf73(X0)) ),
inference(paramodulation,[status(thm)],[f1011,f497]) ).
fof(f3067,plain,
! [X0,X1] :
( rearsegP(skaf73(X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf73(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1011,f350]) ).
fof(f3068,definition,
! [X0,X1,X2] :
( sQ299_spl
<=> ( ~ ssList(skaf73(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf73(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf73(X2))
| ~ rearsegP(X1,app(skaf73(X2),nil))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f3071,plain,
( ~ sQ14_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f3059,f3068,f581]) ).
fof(f3072,definition,
! [X0,X1,X2] :
( sQ300_spl
<=> ( ~ ssList(skaf73(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf73(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf73(X1),nil)) ) ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f3075,plain,
( ~ sQ14_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f3060,f3072,f581]) ).
fof(f3076,definition,
! [X0,X1,X2] :
( sQ301_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,[sQ301_spl])],[split_symbol_definition]) ).
fof(f3079,plain,
( ~ sQ14_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f3061,f3076,f581]) ).
fof(f3080,definition,
! [X0,X1,X2,X3] :
( sQ302_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,[sQ302_spl])],[split_symbol_definition]) ).
fof(f3083,plain,
( ~ sQ14_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f3062,f3080,f581]) ).
fof(f3084,definition,
! [X0,X1] :
( sQ303_spl
<=> ( app(skaf73(X1),nil) = X0
| ~ ssList(skaf73(X1))
| ~ rearsegP(X0,app(skaf73(X1),nil))
| ~ ssList(X0)
| ~ ssList(skaf73(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f3087,plain,
( ~ sQ14_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f3063,f3084,f581]) ).
fof(f3088,definition,
! [X0,X1] :
( sQ304_spl
<=> ( segmentP(app(app(skaf73(X1),nil),X0),nil)
| ~ ssList(app(skaf73(X1),X0))
| ~ ssList(skaf73(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f3091,plain,
( ~ sQ14_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f3064,f3088,f581]) ).
fof(f3092,definition,
! [X0,X1,X2] :
( sQ305_spl
<=> ( segmentP(app(skaf73(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf73(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f3095,plain,
( ~ sQ14_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f3065,f3092,f581]) ).
fof(f3096,definition,
! [X0] :
( sQ306_spl
<=> ( rearsegP(app(skaf73(X0),nil),nil)
| ~ ssList(skaf73(X0))
| ~ ssList(skaf73(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f3099,plain,
( ~ sQ14_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f3066,f3096,f581]) ).
fof(f3100,definition,
! [X0,X1] :
( sQ307_spl
<=> ( rearsegP(skaf73(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf73(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f3101,plain,
! [X0,X1] :
( ~ sQ307_spl
| rearsegP(skaf73(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf73(X1))
| ~ rearsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f3100]) ).
fof(f3103,plain,
( ~ sQ14_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f3067,f3100,f581]) ).
fof(f3124,plain,
! [X0,X1] :
( ~ sQ307_spl
| rearsegP(skaf73(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3101,f221]) ).
fof(f3125,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf75(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf75(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf75(X2))
| ~ rearsegP(X1,app(skaf75(X2),nil))
| ~ rearsegP(X0,X1) ),
inference(paramodulation,[status(thm)],[f1012,f855]) ).
fof(f3126,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf75(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf75(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf75(X1),nil)) ),
inference(paramodulation,[status(thm)],[f1012,f841]) ).
fof(f3127,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)],[f1012,f742]) ).
fof(f3128,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)],[f1012,f741]) ).
fof(f3129,plain,
! [X0,X1] :
( app(skaf75(X1),nil) = X0
| ~ ssList(skaf75(X1))
| ~ rearsegP(X0,app(skaf75(X1),nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf75(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1012,f670]) ).
fof(f3130,plain,
! [X0,X1] :
( segmentP(app(app(skaf75(X1),nil),X0),nil)
| ~ ssList(app(skaf75(X1),X0))
| ~ ssList(nil)
| ~ ssList(skaf75(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1012,f501]) ).
fof(f3131,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)],[f1012,f404]) ).
fof(f3132,plain,
! [X0] :
( rearsegP(app(skaf75(X0),nil),nil)
| ~ ssList(skaf75(X0))
| ~ ssList(nil)
| ~ ssList(skaf75(X0)) ),
inference(paramodulation,[status(thm)],[f1012,f497]) ).
fof(f3133,plain,
! [X0,X1] :
( rearsegP(skaf75(X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf75(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1012,f350]) ).
fof(f3134,definition,
! [X0,X1,X2] :
( sQ308_spl
<=> ( ~ ssList(skaf75(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf75(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf75(X2))
| ~ rearsegP(X1,app(skaf75(X2),nil))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f3137,plain,
( ~ sQ14_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f3125,f3134,f581]) ).
fof(f3138,definition,
! [X0,X1,X2] :
( sQ309_spl
<=> ( ~ ssList(skaf75(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf75(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf75(X1),nil)) ) ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f3141,plain,
( ~ sQ14_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f3126,f3138,f581]) ).
fof(f3142,definition,
! [X0,X1,X2] :
( sQ310_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,[sQ310_spl])],[split_symbol_definition]) ).
fof(f3145,plain,
( ~ sQ14_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f3127,f3142,f581]) ).
fof(f3146,definition,
! [X0,X1,X2,X3] :
( sQ311_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,[sQ311_spl])],[split_symbol_definition]) ).
fof(f3149,plain,
( ~ sQ14_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f3128,f3146,f581]) ).
fof(f3150,definition,
! [X0,X1] :
( sQ312_spl
<=> ( app(skaf75(X1),nil) = X0
| ~ ssList(skaf75(X1))
| ~ rearsegP(X0,app(skaf75(X1),nil))
| ~ ssList(X0)
| ~ ssList(skaf75(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f3153,plain,
( ~ sQ14_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f3129,f3150,f581]) ).
fof(f3154,definition,
! [X0,X1] :
( sQ313_spl
<=> ( segmentP(app(app(skaf75(X1),nil),X0),nil)
| ~ ssList(app(skaf75(X1),X0))
| ~ ssList(skaf75(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f3157,plain,
( ~ sQ14_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f3130,f3154,f581]) ).
fof(f3158,definition,
! [X0,X1,X2] :
( sQ314_spl
<=> ( segmentP(app(skaf75(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf75(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f3161,plain,
( ~ sQ14_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f3131,f3158,f581]) ).
fof(f3162,definition,
! [X0] :
( sQ315_spl
<=> ( rearsegP(app(skaf75(X0),nil),nil)
| ~ ssList(skaf75(X0))
| ~ ssList(skaf75(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f3165,plain,
( ~ sQ14_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f3132,f3162,f581]) ).
fof(f3166,definition,
! [X0,X1] :
( sQ316_spl
<=> ( rearsegP(skaf75(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf75(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f3167,plain,
! [X0,X1] :
( ~ sQ316_spl
| rearsegP(skaf75(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf75(X1))
| ~ rearsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f3166]) ).
fof(f3169,plain,
( ~ sQ14_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f3133,f3166,f581]) ).
fof(f3190,plain,
! [X0,X1] :
( ~ sQ316_spl
| rearsegP(skaf75(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3167,f219]) ).
fof(f3191,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf76(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf76(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf76(X2))
| ~ rearsegP(X1,app(skaf76(X2),nil))
| ~ rearsegP(X0,X1) ),
inference(paramodulation,[status(thm)],[f1013,f855]) ).
fof(f3192,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf76(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf76(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf76(X1),nil)) ),
inference(paramodulation,[status(thm)],[f1013,f841]) ).
fof(f3193,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)],[f1013,f742]) ).
fof(f3194,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)],[f1013,f741]) ).
fof(f3195,plain,
! [X0,X1] :
( app(skaf76(X1),nil) = X0
| ~ ssList(skaf76(X1))
| ~ rearsegP(X0,app(skaf76(X1),nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf76(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1013,f670]) ).
fof(f3196,plain,
! [X0,X1] :
( segmentP(app(app(skaf76(X1),nil),X0),nil)
| ~ ssList(app(skaf76(X1),X0))
| ~ ssList(nil)
| ~ ssList(skaf76(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1013,f501]) ).
fof(f3197,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)],[f1013,f404]) ).
fof(f3198,plain,
! [X0] :
( rearsegP(app(skaf76(X0),nil),nil)
| ~ ssList(skaf76(X0))
| ~ ssList(nil)
| ~ ssList(skaf76(X0)) ),
inference(paramodulation,[status(thm)],[f1013,f497]) ).
fof(f3199,plain,
! [X0,X1] :
( rearsegP(skaf76(X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf76(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1013,f350]) ).
fof(f3200,definition,
! [X0,X1,X2] :
( sQ317_spl
<=> ( ~ ssList(skaf76(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf76(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf76(X2))
| ~ rearsegP(X1,app(skaf76(X2),nil))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f3203,plain,
( ~ sQ14_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f3191,f3200,f581]) ).
fof(f3204,definition,
! [X0,X1,X2] :
( sQ318_spl
<=> ( ~ ssList(skaf76(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf76(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf76(X1),nil)) ) ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f3207,plain,
( ~ sQ14_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f3192,f3204,f581]) ).
fof(f3208,definition,
! [X0,X1,X2] :
( sQ319_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,[sQ319_spl])],[split_symbol_definition]) ).
fof(f3211,plain,
( ~ sQ14_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f3193,f3208,f581]) ).
fof(f3212,definition,
! [X0,X1,X2,X3] :
( sQ320_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,[sQ320_spl])],[split_symbol_definition]) ).
fof(f3215,plain,
( ~ sQ14_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f3194,f3212,f581]) ).
fof(f3216,definition,
! [X0,X1] :
( sQ321_spl
<=> ( app(skaf76(X1),nil) = X0
| ~ ssList(skaf76(X1))
| ~ rearsegP(X0,app(skaf76(X1),nil))
| ~ ssList(X0)
| ~ ssList(skaf76(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f3219,plain,
( ~ sQ14_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f3195,f3216,f581]) ).
fof(f3220,definition,
! [X0,X1] :
( sQ322_spl
<=> ( segmentP(app(app(skaf76(X1),nil),X0),nil)
| ~ ssList(app(skaf76(X1),X0))
| ~ ssList(skaf76(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f3223,plain,
( ~ sQ14_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f3196,f3220,f581]) ).
fof(f3224,definition,
! [X0,X1,X2] :
( sQ323_spl
<=> ( segmentP(app(skaf76(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf76(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f3227,plain,
( ~ sQ14_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f3197,f3224,f581]) ).
fof(f3228,definition,
! [X0] :
( sQ324_spl
<=> ( rearsegP(app(skaf76(X0),nil),nil)
| ~ ssList(skaf76(X0))
| ~ ssList(skaf76(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f3231,plain,
( ~ sQ14_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f3198,f3228,f581]) ).
fof(f3232,definition,
! [X0,X1] :
( sQ325_spl
<=> ( rearsegP(skaf76(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf76(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f3233,plain,
! [X0,X1] :
( ~ sQ325_spl
| rearsegP(skaf76(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf76(X1))
| ~ rearsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f3232]) ).
fof(f3235,plain,
( ~ sQ14_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f3199,f3232,f581]) ).
fof(f3256,plain,
! [X0,X1] :
( ~ sQ325_spl
| rearsegP(skaf76(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3233,f218]) ).
fof(f3257,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf77(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf77(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf77(X2))
| ~ rearsegP(X1,app(skaf77(X2),nil))
| ~ rearsegP(X0,X1) ),
inference(paramodulation,[status(thm)],[f1014,f855]) ).
fof(f3258,plain,
! [X0,X1,X2] :
( ~ ssList(nil)
| ~ ssList(skaf77(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf77(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf77(X1),nil)) ),
inference(paramodulation,[status(thm)],[f1014,f841]) ).
fof(f3259,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)],[f1014,f742]) ).
fof(f3260,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)],[f1014,f741]) ).
fof(f3261,plain,
! [X0,X1] :
( app(skaf77(X1),nil) = X0
| ~ ssList(skaf77(X1))
| ~ rearsegP(X0,app(skaf77(X1),nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf77(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1014,f670]) ).
fof(f3262,plain,
! [X0,X1] :
( segmentP(app(app(skaf77(X1),nil),X0),nil)
| ~ ssList(app(skaf77(X1),X0))
| ~ ssList(nil)
| ~ ssList(skaf77(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1014,f501]) ).
fof(f3263,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)],[f1014,f404]) ).
fof(f3264,plain,
! [X0] :
( rearsegP(app(skaf77(X0),nil),nil)
| ~ ssList(skaf77(X0))
| ~ ssList(nil)
| ~ ssList(skaf77(X0)) ),
inference(paramodulation,[status(thm)],[f1014,f497]) ).
fof(f3265,plain,
! [X0,X1] :
( rearsegP(skaf77(X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf77(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1014,f350]) ).
fof(f3266,definition,
! [X0,X1,X2] :
( sQ326_spl
<=> ( ~ ssList(skaf77(X2))
| ~ rearsegP(nil,X0)
| X0 = app(skaf77(X2),nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf77(X2))
| ~ rearsegP(X1,app(skaf77(X2),nil))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f3269,plain,
( ~ sQ14_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f3257,f3266,f581]) ).
fof(f3270,definition,
! [X0,X1,X2] :
( sQ327_spl
<=> ( ~ ssList(skaf77(X1))
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf77(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,app(skaf77(X1),nil)) ) ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f3273,plain,
( ~ sQ14_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f3258,f3270,f581]) ).
fof(f3274,definition,
! [X0,X1,X2] :
( sQ328_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,[sQ328_spl])],[split_symbol_definition]) ).
fof(f3277,plain,
( ~ sQ14_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f3259,f3274,f581]) ).
fof(f3278,definition,
! [X0,X1,X2,X3] :
( sQ329_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,[sQ329_spl])],[split_symbol_definition]) ).
fof(f3281,plain,
( ~ sQ14_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f3260,f3278,f581]) ).
fof(f3282,definition,
! [X0,X1] :
( sQ330_spl
<=> ( app(skaf77(X1),nil) = X0
| ~ ssList(skaf77(X1))
| ~ rearsegP(X0,app(skaf77(X1),nil))
| ~ ssList(X0)
| ~ ssList(skaf77(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).
fof(f3285,plain,
( ~ sQ14_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f3261,f3282,f581]) ).
fof(f3286,definition,
! [X0,X1] :
( sQ331_spl
<=> ( segmentP(app(app(skaf77(X1),nil),X0),nil)
| ~ ssList(app(skaf77(X1),X0))
| ~ ssList(skaf77(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition]) ).
fof(f3289,plain,
( ~ sQ14_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f3262,f3286,f581]) ).
fof(f3290,definition,
! [X0,X1,X2] :
( sQ332_spl
<=> ( segmentP(app(skaf77(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf77(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ332_spl])],[split_symbol_definition]) ).
fof(f3293,plain,
( ~ sQ14_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f3263,f3290,f581]) ).
fof(f3294,definition,
! [X0] :
( sQ333_spl
<=> ( rearsegP(app(skaf77(X0),nil),nil)
| ~ ssList(skaf77(X0))
| ~ ssList(skaf77(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition]) ).
fof(f3297,plain,
( ~ sQ14_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f3264,f3294,f581]) ).
fof(f3298,definition,
! [X0,X1] :
( sQ334_spl
<=> ( rearsegP(skaf77(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf77(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ334_spl])],[split_symbol_definition]) ).
fof(f3299,plain,
! [X0,X1] :
( ~ sQ334_spl
| rearsegP(skaf77(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf77(X1))
| ~ rearsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f3298]) ).
fof(f3301,plain,
( ~ sQ14_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f3265,f3298,f581]) ).
fof(f3322,plain,
! [X0,X1] :
( ~ sQ334_spl
| rearsegP(skaf77(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3299,f217]) ).
fof(f3325,plain,
! [X0,X1,X2] :
( app(X2,X0) = X1
| ~ rearsegP(X1,app(X2,X0))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f670,f285]) ).
fof(f3326,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f497,f285]) ).
fof(f3328,plain,
! [X0] :
( ssList(app(nil,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f285,f207]) ).
fof(f3329,plain,
! [X0] :
( ssList(app(sk3,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f285,f432]) ).
fof(f3357,plain,
! [X0] :
( ssList(app(sk4,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f285,f433]) ).
fof(f3361,plain,
! [X0,X1] :
( ssList(app(app(sk3,X0),X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3329,f285]) ).
fof(f3362,plain,
! [X0] :
( app(app(sk3,X0),nil) = app(sk3,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3329,f273]) ).
fof(f3363,plain,
! [X0] :
( app(nil,app(sk3,X0)) = app(sk3,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3329,f274]) ).
fof(f3366,plain,
! [X0,X1] :
( ssList(app(app(sk4,X0),X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3357,f285]) ).
fof(f3367,plain,
! [X0] :
( app(app(sk4,X0),nil) = app(sk4,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3357,f273]) ).
fof(f3368,plain,
! [X0] :
( app(nil,app(sk4,X0)) = app(sk4,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3357,f274]) ).
fof(f3372,plain,
! [X0,X1] :
( ~ sQ105_spl
| ~ ssList(X1)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(X1,sk4)
| sk4 = app(X0,X1)
| ~ ssList(app(X0,X1))
| ~ rearsegP(sk4,app(X0,X1)) ),
inference(resolution,[status(thm)],[f1365,f350]) ).
fof(f3373,plain,
! [X0,X1] :
( ~ sQ105_spl
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk4)
| ~ rearsegP(X1,sk4)
| ~ rearsegP(X0,X1)
| sk4 = X0
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(resolution,[status(thm)],[f1365,f376]) ).
fof(f3376,definition,
! [X0,X1] :
( sQ335_spl
<=> ( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,sk4)
| sk4 = app(X0,X1)
| ~ ssList(app(X0,X1))
| ~ rearsegP(sk4,app(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition]) ).
fof(f3379,plain,
( ~ sQ105_spl
| ~ sQ10_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f3372,f3376,f554,f1336]) ).
fof(f3380,definition,
! [X0,X1] :
( sQ336_spl
<=> ( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,sk4)
| ~ rearsegP(X0,X1)
| sk4 = X0
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition]) ).
fof(f3383,plain,
( ~ sQ105_spl
| ~ sQ10_spl
| sQ336_spl ),
inference(split_clause,[status(thm)],[f3373,f3380,f554,f1336]) ).
fof(f3387,plain,
! [X0,X1,X2] :
( ~ sQ80_spl
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ segmentP(X2,app(sk4,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1176,f3357]) ).
fof(f3389,plain,
! [X0,X1] :
( ~ sQ80_spl
| ~ ssList(nil)
| segmentP(X1,nil)
| ~ ssList(X1)
| ~ segmentP(X1,app(sk4,X0))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3387,f255]) ).
fof(f3391,definition,
! [X0,X1] :
( sQ337_spl
<=> ( segmentP(X1,nil)
| ~ ssList(X1)
| ~ segmentP(X1,app(sk4,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition]) ).
fof(f3395,plain,
( ~ sQ80_spl
| ~ sQ14_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f3389,f3391,f581,f1148]) ).
fof(f3397,plain,
! [X0,X1] :
( ssList(app(app(nil,X0),X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3328,f285]) ).
fof(f3406,plain,
! [X0] :
( ~ sQ105_spl
| sk4 = app(X0,sk4)
| ~ ssList(app(X0,sk4))
| ~ rearsegP(sk4,app(X0,sk4))
| ~ ssList(sk4)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3326,f1365]) ).
fof(f3414,plain,
! [X0,X1] :
( app(X0,X1) = X1
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ rearsegP(X1,app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3326,f340]) ).
fof(f3415,plain,
! [X0] :
( rearsegP(skaf77(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf77(X0)) ),
inference(paramodulation,[status(thm)],[f1014,f3326]) ).
fof(f3416,plain,
! [X0] :
( rearsegP(skaf76(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf76(X0)) ),
inference(paramodulation,[status(thm)],[f1013,f3326]) ).
fof(f3417,plain,
! [X0] :
( rearsegP(skaf75(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf75(X0)) ),
inference(paramodulation,[status(thm)],[f1012,f3326]) ).
fof(f3418,plain,
! [X0] :
( rearsegP(skaf73(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf73(X0)) ),
inference(paramodulation,[status(thm)],[f1011,f3326]) ).
fof(f3419,plain,
! [X0] :
( rearsegP(skaf72(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf72(X0)) ),
inference(paramodulation,[status(thm)],[f1010,f3326]) ).
fof(f3420,plain,
! [X0] :
( rearsegP(skaf71(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf71(X0)) ),
inference(paramodulation,[status(thm)],[f1009,f3326]) ).
fof(f3421,plain,
! [X0] :
( rearsegP(skaf68(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf68(X0)) ),
inference(paramodulation,[status(thm)],[f1008,f3326]) ).
fof(f3422,plain,
! [X0] :
( rearsegP(skaf67(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf67(X0)) ),
inference(paramodulation,[status(thm)],[f1007,f3326]) ).
fof(f3423,plain,
! [X0] :
( rearsegP(skaf66(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf66(X0)) ),
inference(paramodulation,[status(thm)],[f1006,f3326]) ).
fof(f3424,plain,
! [X0] :
( rearsegP(skaf63(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf63(X0)) ),
inference(paramodulation,[status(thm)],[f1005,f3326]) ).
fof(f3425,plain,
! [X0] :
( rearsegP(skaf62(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf62(X0)) ),
inference(paramodulation,[status(thm)],[f1003,f3326]) ).
fof(f3426,plain,
! [X0] :
( rearsegP(skaf61(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf61(X0)) ),
inference(paramodulation,[status(thm)],[f1002,f3326]) ).
fof(f3427,plain,
! [X0] :
( rearsegP(skaf58(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf58(X0)) ),
inference(paramodulation,[status(thm)],[f1001,f3326]) ).
fof(f3428,plain,
! [X0] :
( rearsegP(skaf57(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf57(X0)) ),
inference(paramodulation,[status(thm)],[f1000,f3326]) ).
fof(f3429,plain,
! [X0] :
( rearsegP(skaf56(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf56(X0)) ),
inference(paramodulation,[status(thm)],[f999,f3326]) ).
fof(f3430,plain,
! [X0] :
( rearsegP(skaf53(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf53(X0)) ),
inference(paramodulation,[status(thm)],[f998,f3326]) ).
fof(f3431,plain,
! [X0] :
( rearsegP(skaf52(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf52(X0)) ),
inference(paramodulation,[status(thm)],[f997,f3326]) ).
fof(f3432,plain,
! [X0] :
( rearsegP(skaf51(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf51(X0)) ),
inference(paramodulation,[status(thm)],[f996,f3326]) ).
fof(f3438,definition,
! [X0] :
( sQ338_spl
<=> ( sk4 = app(X0,sk4)
| ~ ssList(app(X0,sk4))
| ~ rearsegP(sk4,app(X0,sk4))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ338_spl])],[split_symbol_definition]) ).
fof(f3441,plain,
( ~ sQ105_spl
| ~ sQ10_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f3406,f3438,f554,f1336]) ).
fof(f3456,plain,
! [X0,X1] :
( app(X0,X1) = X1
| ~ ssList(app(X0,X1))
| ~ rearsegP(X1,app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f3414]) ).
fof(f3457,plain,
! [X0,X1] :
( app(X0,X1) = X1
| ~ rearsegP(X1,app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3456,f285]) ).
fof(f3458,definition,
! [X0] :
( sQ339_spl
<=> ( rearsegP(skaf77(X0),nil)
| ~ ssList(skaf77(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition]) ).
fof(f3461,plain,
( ~ sQ14_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f3415,f3458,f581]) ).
fof(f3462,definition,
! [X0] :
( sQ340_spl
<=> ( rearsegP(skaf76(X0),nil)
| ~ ssList(skaf76(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition]) ).
fof(f3465,plain,
( ~ sQ14_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f3416,f3462,f581]) ).
fof(f3466,definition,
! [X0] :
( sQ341_spl
<=> ( rearsegP(skaf75(X0),nil)
| ~ ssList(skaf75(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition]) ).
fof(f3469,plain,
( ~ sQ14_spl
| sQ341_spl ),
inference(split_clause,[status(thm)],[f3417,f3466,f581]) ).
fof(f3470,definition,
! [X0] :
( sQ342_spl
<=> ( rearsegP(skaf73(X0),nil)
| ~ ssList(skaf73(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).
fof(f3473,plain,
( ~ sQ14_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f3418,f3470,f581]) ).
fof(f3474,definition,
! [X0] :
( sQ343_spl
<=> ( rearsegP(skaf72(X0),nil)
| ~ ssList(skaf72(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f3477,plain,
( ~ sQ14_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f3419,f3474,f581]) ).
fof(f3478,definition,
! [X0] :
( sQ344_spl
<=> ( rearsegP(skaf71(X0),nil)
| ~ ssList(skaf71(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).
fof(f3481,plain,
( ~ sQ14_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f3420,f3478,f581]) ).
fof(f3482,definition,
! [X0] :
( sQ345_spl
<=> ( rearsegP(skaf68(X0),nil)
| ~ ssList(skaf68(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).
fof(f3485,plain,
( ~ sQ14_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f3421,f3482,f581]) ).
fof(f3486,definition,
! [X0] :
( sQ346_spl
<=> ( rearsegP(skaf67(X0),nil)
| ~ ssList(skaf67(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).
fof(f3489,plain,
( ~ sQ14_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f3422,f3486,f581]) ).
fof(f3490,definition,
! [X0] :
( sQ347_spl
<=> ( rearsegP(skaf66(X0),nil)
| ~ ssList(skaf66(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition]) ).
fof(f3493,plain,
( ~ sQ14_spl
| sQ347_spl ),
inference(split_clause,[status(thm)],[f3423,f3490,f581]) ).
fof(f3494,definition,
! [X0] :
( sQ348_spl
<=> ( rearsegP(skaf63(X0),nil)
| ~ ssList(skaf63(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).
fof(f3497,plain,
( ~ sQ14_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f3424,f3494,f581]) ).
fof(f3498,definition,
! [X0] :
( sQ349_spl
<=> ( rearsegP(skaf62(X0),nil)
| ~ ssList(skaf62(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition]) ).
fof(f3501,plain,
( ~ sQ14_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f3425,f3498,f581]) ).
fof(f3502,definition,
! [X0] :
( sQ350_spl
<=> ( rearsegP(skaf61(X0),nil)
| ~ ssList(skaf61(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ350_spl])],[split_symbol_definition]) ).
fof(f3505,plain,
( ~ sQ14_spl
| sQ350_spl ),
inference(split_clause,[status(thm)],[f3426,f3502,f581]) ).
fof(f3506,definition,
! [X0] :
( sQ351_spl
<=> ( rearsegP(skaf58(X0),nil)
| ~ ssList(skaf58(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition]) ).
fof(f3509,plain,
( ~ sQ14_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f3427,f3506,f581]) ).
fof(f3510,definition,
! [X0] :
( sQ352_spl
<=> ( rearsegP(skaf57(X0),nil)
| ~ ssList(skaf57(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).
fof(f3513,plain,
( ~ sQ14_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f3428,f3510,f581]) ).
fof(f3514,definition,
! [X0] :
( sQ353_spl
<=> ( rearsegP(skaf56(X0),nil)
| ~ ssList(skaf56(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition]) ).
fof(f3517,plain,
( ~ sQ14_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f3429,f3514,f581]) ).
fof(f3518,definition,
! [X0] :
( sQ354_spl
<=> ( rearsegP(skaf53(X0),nil)
| ~ ssList(skaf53(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ354_spl])],[split_symbol_definition]) ).
fof(f3521,plain,
( ~ sQ14_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f3430,f3518,f581]) ).
fof(f3522,definition,
! [X0] :
( sQ355_spl
<=> ( rearsegP(skaf52(X0),nil)
| ~ ssList(skaf52(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition]) ).
fof(f3525,plain,
( ~ sQ14_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f3431,f3522,f581]) ).
fof(f3526,definition,
! [X0] :
( sQ356_spl
<=> ( rearsegP(skaf51(X0),nil)
| ~ ssList(skaf51(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ356_spl])],[split_symbol_definition]) ).
fof(f3529,plain,
( ~ sQ14_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f3432,f3526,f581]) ).
fof(f3536,plain,
! [X0] :
( ~ sQ156_spl
| ~ ssList(nil)
| rearsegP(skaf56(X0),nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f2023,f257]) ).
fof(f3537,plain,
! [X0,X1,X2] :
( ~ sQ156_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf56(X1),X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2023,f376]) ).
fof(f3539,definition,
! [X0] :
( sQ357_spl
<=> rearsegP(skaf56(X0),nil) ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f3540,plain,
! [X0] :
( ~ sQ357_spl
| rearsegP(skaf56(X0),nil) ),
inference(component_clause,[status(thm)],[f3539]) ).
fof(f3543,plain,
( ~ sQ156_spl
| sQ357_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f3536,f581,f3539,f2006]) ).
fof(f3544,definition,
! [X0,X1,X2] :
( sQ358_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf56(X1),X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ358_spl])],[split_symbol_definition]) ).
fof(f3547,plain,
( ~ sQ156_spl
| ~ sQ14_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f3537,f3544,f581,f2006]) ).
fof(f3550,plain,
! [X0,X1,X2] :
( ~ sQ357_spl
| ~ ssList(skaf56(X2))
| ~ rearsegP(X1,skaf56(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f3540,f852]) ).
fof(f3551,plain,
! [X0] :
( ~ sQ357_spl
| ~ ssList(nil)
| ~ rearsegP(nil,skaf56(X0))
| nil = skaf56(X0)
| ~ ssList(nil)
| ~ ssList(skaf56(X0))
| ~ ssList(skaf56(X0))
| ~ rearsegP(nil,skaf56(X0)) ),
inference(resolution,[status(thm)],[f3540,f852]) ).
fof(f3552,plain,
! [X0,X1,X2] :
( ~ sQ357_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf56(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf56(X1)) ),
inference(resolution,[status(thm)],[f3540,f852]) ).
fof(f3554,plain,
! [X0,X1,X2] :
( ~ sQ357_spl
| ~ ssList(X2)
| ~ rearsegP(X2,skaf56(X1))
| ~ rearsegP(X0,X2)
| nil = skaf56(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf56(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f3540,f852]) ).
fof(f3555,plain,
! [X0,X1] :
( ~ sQ357_spl
| nil = skaf56(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf56(X1))
| ~ rearsegP(X0,skaf56(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f3540,f727]) ).
fof(f3556,plain,
! [X0,X1] :
( ~ sQ357_spl
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf56(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf56(X1)) ),
inference(resolution,[status(thm)],[f3540,f727]) ).
fof(f3557,plain,
! [X0] :
( ~ sQ357_spl
| skaf56(X0) = nil
| ~ ssList(skaf56(X0))
| ~ ssList(nil)
| ~ rearsegP(nil,skaf56(X0)) ),
inference(resolution,[status(thm)],[f3540,f340]) ).
fof(f3558,definition,
! [X0,X1,X2] :
( sQ359_spl
<=> ( ~ ssList(skaf56(X2))
| ~ rearsegP(X1,skaf56(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ359_spl])],[split_symbol_definition]) ).
fof(f3561,plain,
( ~ sQ357_spl
| ~ sQ14_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f3550,f3558,f581,f3539]) ).
fof(f3562,definition,
! [X0] :
( sQ360_spl
<=> ( ~ rearsegP(nil,skaf56(X0))
| nil = skaf56(X0)
| ~ ssList(skaf56(X0))
| ~ ssList(skaf56(X0))
| ~ rearsegP(nil,skaf56(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ360_spl])],[split_symbol_definition]) ).
fof(f3565,plain,
( ~ sQ357_spl
| ~ sQ14_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f3551,f3562,f581,f3539]) ).
fof(f3566,definition,
! [X0,X1,X2] :
( sQ361_spl
<=> ( ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf56(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf56(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ361_spl])],[split_symbol_definition]) ).
fof(f3569,plain,
( ~ sQ357_spl
| ~ sQ14_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f3552,f3566,f581,f3539]) ).
fof(f3571,definition,
! [X0,X1,X2] :
( sQ362_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,skaf56(X1))
| ~ rearsegP(X0,X2)
| nil = skaf56(X1)
| ~ ssList(X0)
| ~ ssList(skaf56(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ362_spl])],[split_symbol_definition]) ).
fof(f3574,plain,
( ~ sQ357_spl
| ~ sQ14_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f3554,f3571,f581,f3539]) ).
fof(f3575,definition,
! [X0,X1] :
( sQ363_spl
<=> ( nil = skaf56(X1)
| ~ ssList(X0)
| ~ ssList(skaf56(X1))
| ~ rearsegP(X0,skaf56(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ363_spl])],[split_symbol_definition]) ).
fof(f3578,plain,
( ~ sQ357_spl
| ~ sQ14_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f3555,f3575,f581,f3539]) ).
fof(f3579,definition,
! [X0,X1] :
( sQ364_spl
<=> ( X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf56(X1))
| ~ rearsegP(X0,skaf56(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ364_spl])],[split_symbol_definition]) ).
fof(f3582,plain,
( ~ sQ357_spl
| ~ sQ14_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f3556,f3579,f581,f3539]) ).
fof(f3583,definition,
! [X0] :
( sQ365_spl
<=> ( skaf56(X0) = nil
| ~ ssList(skaf56(X0))
| ~ rearsegP(nil,skaf56(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ365_spl])],[split_symbol_definition]) ).
fof(f3586,plain,
( ~ sQ357_spl
| ~ sQ14_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f3557,f3583,f581,f3539]) ).
fof(f3591,plain,
! [X0] :
( ~ sQ163_spl
| ~ ssList(nil)
| rearsegP(skaf57(X0),nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f2072,f257]) ).
fof(f3592,plain,
! [X0,X1,X2] :
( ~ sQ163_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf57(X1),X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2072,f376]) ).
fof(f3594,definition,
! [X0] :
( sQ366_spl
<=> rearsegP(skaf57(X0),nil) ),
introduced(definition,[new_symbols(definition,[sQ366_spl])],[split_symbol_definition]) ).
fof(f3595,plain,
! [X0] :
( ~ sQ366_spl
| rearsegP(skaf57(X0),nil) ),
inference(component_clause,[status(thm)],[f3594]) ).
fof(f3598,plain,
( ~ sQ163_spl
| sQ366_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f3591,f581,f3594,f2055]) ).
fof(f3599,definition,
! [X0,X1,X2] :
( sQ367_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf57(X1),X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition]) ).
fof(f3602,plain,
( ~ sQ163_spl
| ~ sQ14_spl
| sQ367_spl ),
inference(split_clause,[status(thm)],[f3592,f3599,f581,f2055]) ).
fof(f3605,plain,
! [X0,X1,X2] :
( ~ sQ366_spl
| ~ ssList(skaf57(X2))
| ~ rearsegP(X1,skaf57(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f3595,f852]) ).
fof(f3606,plain,
! [X0] :
( ~ sQ366_spl
| ~ ssList(nil)
| ~ rearsegP(nil,skaf57(X0))
| nil = skaf57(X0)
| ~ ssList(nil)
| ~ ssList(skaf57(X0))
| ~ ssList(skaf57(X0))
| ~ rearsegP(nil,skaf57(X0)) ),
inference(resolution,[status(thm)],[f3595,f852]) ).
fof(f3607,plain,
! [X0,X1,X2] :
( ~ sQ366_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf57(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf57(X1)) ),
inference(resolution,[status(thm)],[f3595,f852]) ).
fof(f3609,plain,
! [X0,X1,X2] :
( ~ sQ366_spl
| ~ ssList(X2)
| ~ rearsegP(X2,skaf57(X1))
| ~ rearsegP(X0,X2)
| nil = skaf57(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf57(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f3595,f852]) ).
fof(f3610,plain,
! [X0,X1] :
( ~ sQ366_spl
| nil = skaf57(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf57(X1))
| ~ rearsegP(X0,skaf57(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f3595,f727]) ).
fof(f3611,plain,
! [X0,X1] :
( ~ sQ366_spl
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf57(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf57(X1)) ),
inference(resolution,[status(thm)],[f3595,f727]) ).
fof(f3612,plain,
! [X0] :
( ~ sQ366_spl
| skaf57(X0) = nil
| ~ ssList(skaf57(X0))
| ~ ssList(nil)
| ~ rearsegP(nil,skaf57(X0)) ),
inference(resolution,[status(thm)],[f3595,f340]) ).
fof(f3613,definition,
! [X0,X1,X2] :
( sQ368_spl
<=> ( ~ ssList(skaf57(X2))
| ~ rearsegP(X1,skaf57(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ368_spl])],[split_symbol_definition]) ).
fof(f3616,plain,
( ~ sQ366_spl
| ~ sQ14_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f3605,f3613,f581,f3594]) ).
fof(f3617,definition,
! [X0] :
( sQ369_spl
<=> ( ~ rearsegP(nil,skaf57(X0))
| nil = skaf57(X0)
| ~ ssList(skaf57(X0))
| ~ ssList(skaf57(X0))
| ~ rearsegP(nil,skaf57(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ369_spl])],[split_symbol_definition]) ).
fof(f3620,plain,
( ~ sQ366_spl
| ~ sQ14_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f3606,f3617,f581,f3594]) ).
fof(f3621,definition,
! [X0,X1,X2] :
( sQ370_spl
<=> ( ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf57(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf57(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ370_spl])],[split_symbol_definition]) ).
fof(f3624,plain,
( ~ sQ366_spl
| ~ sQ14_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f3607,f3621,f581,f3594]) ).
fof(f3626,definition,
! [X0,X1,X2] :
( sQ371_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,skaf57(X1))
| ~ rearsegP(X0,X2)
| nil = skaf57(X1)
| ~ ssList(X0)
| ~ ssList(skaf57(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition]) ).
fof(f3629,plain,
( ~ sQ366_spl
| ~ sQ14_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f3609,f3626,f581,f3594]) ).
fof(f3630,definition,
! [X0,X1] :
( sQ372_spl
<=> ( nil = skaf57(X1)
| ~ ssList(X0)
| ~ ssList(skaf57(X1))
| ~ rearsegP(X0,skaf57(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ372_spl])],[split_symbol_definition]) ).
fof(f3633,plain,
( ~ sQ366_spl
| ~ sQ14_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f3610,f3630,f581,f3594]) ).
fof(f3634,definition,
! [X0,X1] :
( sQ373_spl
<=> ( X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf57(X1))
| ~ rearsegP(X0,skaf57(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition]) ).
fof(f3637,plain,
( ~ sQ366_spl
| ~ sQ14_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f3611,f3634,f581,f3594]) ).
fof(f3638,definition,
! [X0] :
( sQ374_spl
<=> ( skaf57(X0) = nil
| ~ ssList(skaf57(X0))
| ~ rearsegP(nil,skaf57(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition]) ).
fof(f3641,plain,
( ~ sQ366_spl
| ~ sQ14_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f3612,f3638,f581,f3594]) ).
fof(f3646,plain,
! [X0] :
( ~ sQ170_spl
| ~ ssList(nil)
| rearsegP(skaf58(X0),nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f2121,f257]) ).
fof(f3647,plain,
! [X0,X1,X2] :
( ~ sQ170_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf58(X1),X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2121,f376]) ).
fof(f3649,definition,
! [X0] :
( sQ375_spl
<=> rearsegP(skaf58(X0),nil) ),
introduced(definition,[new_symbols(definition,[sQ375_spl])],[split_symbol_definition]) ).
fof(f3650,plain,
! [X0] :
( ~ sQ375_spl
| rearsegP(skaf58(X0),nil) ),
inference(component_clause,[status(thm)],[f3649]) ).
fof(f3653,plain,
( ~ sQ170_spl
| sQ375_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f3646,f581,f3649,f2104]) ).
fof(f3654,definition,
! [X0,X1,X2] :
( sQ376_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf58(X1),X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ376_spl])],[split_symbol_definition]) ).
fof(f3657,plain,
( ~ sQ170_spl
| ~ sQ14_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f3647,f3654,f581,f2104]) ).
fof(f3660,plain,
! [X0,X1,X2] :
( ~ sQ375_spl
| ~ ssList(skaf58(X2))
| ~ rearsegP(X1,skaf58(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f3650,f852]) ).
fof(f3661,plain,
! [X0] :
( ~ sQ375_spl
| ~ ssList(nil)
| ~ rearsegP(nil,skaf58(X0))
| nil = skaf58(X0)
| ~ ssList(nil)
| ~ ssList(skaf58(X0))
| ~ ssList(skaf58(X0))
| ~ rearsegP(nil,skaf58(X0)) ),
inference(resolution,[status(thm)],[f3650,f852]) ).
fof(f3662,plain,
! [X0,X1,X2] :
( ~ sQ375_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf58(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf58(X1)) ),
inference(resolution,[status(thm)],[f3650,f852]) ).
fof(f3664,plain,
! [X0,X1,X2] :
( ~ sQ375_spl
| ~ ssList(X2)
| ~ rearsegP(X2,skaf58(X1))
| ~ rearsegP(X0,X2)
| nil = skaf58(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf58(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f3650,f852]) ).
fof(f3665,plain,
! [X0,X1] :
( ~ sQ375_spl
| nil = skaf58(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf58(X1))
| ~ rearsegP(X0,skaf58(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f3650,f727]) ).
fof(f3666,plain,
! [X0,X1] :
( ~ sQ375_spl
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf58(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf58(X1)) ),
inference(resolution,[status(thm)],[f3650,f727]) ).
fof(f3667,plain,
! [X0] :
( ~ sQ375_spl
| skaf58(X0) = nil
| ~ ssList(skaf58(X0))
| ~ ssList(nil)
| ~ rearsegP(nil,skaf58(X0)) ),
inference(resolution,[status(thm)],[f3650,f340]) ).
fof(f3668,definition,
! [X0,X1,X2] :
( sQ377_spl
<=> ( ~ ssList(skaf58(X2))
| ~ rearsegP(X1,skaf58(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ377_spl])],[split_symbol_definition]) ).
fof(f3671,plain,
( ~ sQ375_spl
| ~ sQ14_spl
| sQ377_spl ),
inference(split_clause,[status(thm)],[f3660,f3668,f581,f3649]) ).
fof(f3672,definition,
! [X0] :
( sQ378_spl
<=> ( ~ rearsegP(nil,skaf58(X0))
| nil = skaf58(X0)
| ~ ssList(skaf58(X0))
| ~ ssList(skaf58(X0))
| ~ rearsegP(nil,skaf58(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ378_spl])],[split_symbol_definition]) ).
fof(f3675,plain,
( ~ sQ375_spl
| ~ sQ14_spl
| sQ378_spl ),
inference(split_clause,[status(thm)],[f3661,f3672,f581,f3649]) ).
fof(f3676,definition,
! [X0,X1,X2] :
( sQ379_spl
<=> ( ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf58(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf58(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ379_spl])],[split_symbol_definition]) ).
fof(f3679,plain,
( ~ sQ375_spl
| ~ sQ14_spl
| sQ379_spl ),
inference(split_clause,[status(thm)],[f3662,f3676,f581,f3649]) ).
fof(f3681,definition,
! [X0,X1,X2] :
( sQ380_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,skaf58(X1))
| ~ rearsegP(X0,X2)
| nil = skaf58(X1)
| ~ ssList(X0)
| ~ ssList(skaf58(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ380_spl])],[split_symbol_definition]) ).
fof(f3684,plain,
( ~ sQ375_spl
| ~ sQ14_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f3664,f3681,f581,f3649]) ).
fof(f3685,definition,
! [X0,X1] :
( sQ381_spl
<=> ( nil = skaf58(X1)
| ~ ssList(X0)
| ~ ssList(skaf58(X1))
| ~ rearsegP(X0,skaf58(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ381_spl])],[split_symbol_definition]) ).
fof(f3688,plain,
( ~ sQ375_spl
| ~ sQ14_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f3665,f3685,f581,f3649]) ).
fof(f3689,definition,
! [X0,X1] :
( sQ382_spl
<=> ( X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf58(X1))
| ~ rearsegP(X0,skaf58(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ382_spl])],[split_symbol_definition]) ).
fof(f3692,plain,
( ~ sQ375_spl
| ~ sQ14_spl
| sQ382_spl ),
inference(split_clause,[status(thm)],[f3666,f3689,f581,f3649]) ).
fof(f3693,definition,
! [X0] :
( sQ383_spl
<=> ( skaf58(X0) = nil
| ~ ssList(skaf58(X0))
| ~ rearsegP(nil,skaf58(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ383_spl])],[split_symbol_definition]) ).
fof(f3696,plain,
( ~ sQ375_spl
| ~ sQ14_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f3667,f3693,f581,f3649]) ).
fof(f3700,plain,
! [X0,X1] :
( ~ sQ375_spl
| app(X0,skaf58(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf58(X1)))
| ~ ssList(skaf58(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3325,f3650]) ).
fof(f3701,plain,
! [X0,X1] :
( ~ sQ366_spl
| app(X0,skaf57(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf57(X1)))
| ~ ssList(skaf57(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3325,f3595]) ).
fof(f3702,plain,
! [X0,X1] :
( ~ sQ357_spl
| app(X0,skaf56(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf56(X1)))
| ~ ssList(skaf56(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3325,f3540]) ).
fof(f3703,plain,
! [X0,X1] :
( ~ sQ203_spl
| app(X0,skaf53(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf53(X1)))
| ~ ssList(skaf53(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3325,f2362]) ).
fof(f3704,plain,
! [X0,X1] :
( ~ sQ194_spl
| app(X0,skaf52(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf52(X1)))
| ~ ssList(skaf52(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3325,f2307]) ).
fof(f3705,plain,
! [X0,X1] :
( ~ sQ185_spl
| app(X0,skaf51(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf51(X1)))
| ~ ssList(skaf51(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3325,f2252]) ).
fof(f3706,plain,
! [X0] :
( ~ sQ15_spl
| app(X0,nil) = nil
| ~ rearsegP(nil,app(X0,nil))
| ~ ssList(nil)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3325,f585]) ).
fof(f3707,plain,
! [X0] :
( ~ sQ65_spl
| app(X0,sk3) = nil
| ~ rearsegP(nil,app(X0,sk3))
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3325,f1058]) ).
fof(f3708,plain,
! [X0] :
( ~ sQ95_spl
| app(X0,sk3) = sk3
| ~ rearsegP(sk3,app(X0,sk3))
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3325,f1275]) ).
fof(f3709,plain,
! [X0] :
( ~ sQ85_spl
| app(X0,sk4) = nil
| ~ rearsegP(nil,app(X0,sk4))
| ~ ssList(sk4)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3325,f1180]) ).
fof(f3710,plain,
! [X0] :
( ~ sQ110_spl
| app(X0,sk4) = sk4
| ~ rearsegP(sk4,app(X0,sk4))
| ~ ssList(sk4)
| ~ ssList(sk4)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3325,f1367]) ).
fof(f3714,plain,
! [X0,X1] :
( ~ ssList(X1)
| app(X0,X1) = nil
| ~ rearsegP(nil,app(X0,X1))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3325,f257]) ).
fof(f3717,definition,
! [X0,X1] :
( sQ384_spl
<=> ( app(X0,skaf58(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf58(X1)))
| ~ ssList(skaf58(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition]) ).
fof(f3720,plain,
( ~ sQ375_spl
| ~ sQ14_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f3700,f3717,f581,f3649]) ).
fof(f3721,definition,
! [X0,X1] :
( sQ385_spl
<=> ( app(X0,skaf57(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf57(X1)))
| ~ ssList(skaf57(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition]) ).
fof(f3724,plain,
( ~ sQ366_spl
| ~ sQ14_spl
| sQ385_spl ),
inference(split_clause,[status(thm)],[f3701,f3721,f581,f3594]) ).
fof(f3725,definition,
! [X0,X1] :
( sQ386_spl
<=> ( app(X0,skaf56(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf56(X1)))
| ~ ssList(skaf56(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ386_spl])],[split_symbol_definition]) ).
fof(f3728,plain,
( ~ sQ357_spl
| ~ sQ14_spl
| sQ386_spl ),
inference(split_clause,[status(thm)],[f3702,f3725,f581,f3539]) ).
fof(f3729,definition,
! [X0,X1] :
( sQ387_spl
<=> ( app(X0,skaf53(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf53(X1)))
| ~ ssList(skaf53(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ387_spl])],[split_symbol_definition]) ).
fof(f3732,plain,
( ~ sQ203_spl
| ~ sQ14_spl
| sQ387_spl ),
inference(split_clause,[status(thm)],[f3703,f3729,f581,f2361]) ).
fof(f3733,definition,
! [X0,X1] :
( sQ388_spl
<=> ( app(X0,skaf52(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf52(X1)))
| ~ ssList(skaf52(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ388_spl])],[split_symbol_definition]) ).
fof(f3736,plain,
( ~ sQ194_spl
| ~ sQ14_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f3704,f3733,f581,f2306]) ).
fof(f3737,definition,
! [X0,X1] :
( sQ389_spl
<=> ( app(X0,skaf51(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf51(X1)))
| ~ ssList(skaf51(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ389_spl])],[split_symbol_definition]) ).
fof(f3740,plain,
( ~ sQ185_spl
| ~ sQ14_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f3705,f3737,f581,f2251]) ).
fof(f3741,definition,
! [X0] :
( sQ390_spl
<=> ( app(X0,nil) = nil
| ~ rearsegP(nil,app(X0,nil))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ390_spl])],[split_symbol_definition]) ).
fof(f3744,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f3706,f3741,f581,f584]) ).
fof(f3745,definition,
! [X0] :
( sQ391_spl
<=> ( app(X0,sk3) = nil
| ~ rearsegP(nil,app(X0,sk3))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ391_spl])],[split_symbol_definition]) ).
fof(f3746,plain,
! [X0] :
( ~ sQ391_spl
| app(X0,sk3) = nil
| ~ rearsegP(nil,app(X0,sk3))
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f3745]) ).
fof(f3748,plain,
( ~ sQ65_spl
| ~ sQ12_spl
| ~ sQ14_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f3707,f3745,f581,f572,f1046]) ).
fof(f3749,definition,
! [X0] :
( sQ392_spl
<=> ( app(X0,sk3) = sk3
| ~ rearsegP(sk3,app(X0,sk3))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ392_spl])],[split_symbol_definition]) ).
fof(f3750,plain,
! [X0] :
( ~ sQ392_spl
| app(X0,sk3) = sk3
| ~ rearsegP(sk3,app(X0,sk3))
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f3749]) ).
fof(f3752,plain,
( ~ sQ95_spl
| ~ sQ12_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f3708,f3749,f572,f1263]) ).
fof(f3753,definition,
! [X0] :
( sQ393_spl
<=> ( app(X0,sk4) = nil
| ~ rearsegP(nil,app(X0,sk4))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ393_spl])],[split_symbol_definition]) ).
fof(f3754,plain,
! [X0] :
( ~ sQ393_spl
| app(X0,sk4) = nil
| ~ rearsegP(nil,app(X0,sk4))
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f3753]) ).
fof(f3756,plain,
( ~ sQ85_spl
| ~ sQ10_spl
| ~ sQ14_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f3709,f3753,f581,f554,f1168]) ).
fof(f3757,definition,
! [X0] :
( sQ394_spl
<=> ( app(X0,sk4) = sk4
| ~ rearsegP(sk4,app(X0,sk4))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ394_spl])],[split_symbol_definition]) ).
fof(f3758,plain,
! [X0] :
( ~ sQ394_spl
| app(X0,sk4) = sk4
| ~ rearsegP(sk4,app(X0,sk4))
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f3757]) ).
fof(f3760,plain,
( ~ sQ110_spl
| ~ sQ10_spl
| sQ394_spl ),
inference(split_clause,[status(thm)],[f3710,f3757,f554,f1355]) ).
fof(f3769,definition,
! [X0,X1] :
( sQ396_spl
<=> ( ~ ssList(X1)
| app(X0,X1) = nil
| ~ rearsegP(nil,app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ396_spl])],[split_symbol_definition]) ).
fof(f3772,plain,
( ~ sQ14_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f3714,f3769,f581]) ).
fof(f3784,plain,
! [X0] :
( app(skaf77(X0),nil) = nil
| ~ rearsegP(nil,skaf77(X0))
| ~ ssList(nil)
| ~ ssList(skaf77(X0)) ),
inference(paramodulation,[status(thm)],[f1014,f3457]) ).
fof(f3785,plain,
! [X0] :
( app(skaf76(X0),nil) = nil
| ~ rearsegP(nil,skaf76(X0))
| ~ ssList(nil)
| ~ ssList(skaf76(X0)) ),
inference(paramodulation,[status(thm)],[f1013,f3457]) ).
fof(f3786,plain,
! [X0] :
( app(skaf75(X0),nil) = nil
| ~ rearsegP(nil,skaf75(X0))
| ~ ssList(nil)
| ~ ssList(skaf75(X0)) ),
inference(paramodulation,[status(thm)],[f1012,f3457]) ).
fof(f3787,plain,
! [X0] :
( app(skaf73(X0),nil) = nil
| ~ rearsegP(nil,skaf73(X0))
| ~ ssList(nil)
| ~ ssList(skaf73(X0)) ),
inference(paramodulation,[status(thm)],[f1011,f3457]) ).
fof(f3788,plain,
! [X0] :
( app(skaf72(X0),nil) = nil
| ~ rearsegP(nil,skaf72(X0))
| ~ ssList(nil)
| ~ ssList(skaf72(X0)) ),
inference(paramodulation,[status(thm)],[f1010,f3457]) ).
fof(f3789,plain,
! [X0] :
( app(skaf71(X0),nil) = nil
| ~ rearsegP(nil,skaf71(X0))
| ~ ssList(nil)
| ~ ssList(skaf71(X0)) ),
inference(paramodulation,[status(thm)],[f1009,f3457]) ).
fof(f3790,plain,
! [X0] :
( app(skaf68(X0),nil) = nil
| ~ rearsegP(nil,skaf68(X0))
| ~ ssList(nil)
| ~ ssList(skaf68(X0)) ),
inference(paramodulation,[status(thm)],[f1008,f3457]) ).
fof(f3791,plain,
! [X0] :
( app(skaf67(X0),nil) = nil
| ~ rearsegP(nil,skaf67(X0))
| ~ ssList(nil)
| ~ ssList(skaf67(X0)) ),
inference(paramodulation,[status(thm)],[f1007,f3457]) ).
fof(f3792,plain,
! [X0] :
( app(skaf66(X0),nil) = nil
| ~ rearsegP(nil,skaf66(X0))
| ~ ssList(nil)
| ~ ssList(skaf66(X0)) ),
inference(paramodulation,[status(thm)],[f1006,f3457]) ).
fof(f3793,plain,
! [X0] :
( app(skaf63(X0),nil) = nil
| ~ rearsegP(nil,skaf63(X0))
| ~ ssList(nil)
| ~ ssList(skaf63(X0)) ),
inference(paramodulation,[status(thm)],[f1005,f3457]) ).
fof(f3794,plain,
! [X0] :
( app(skaf62(X0),nil) = nil
| ~ rearsegP(nil,skaf62(X0))
| ~ ssList(nil)
| ~ ssList(skaf62(X0)) ),
inference(paramodulation,[status(thm)],[f1003,f3457]) ).
fof(f3795,plain,
! [X0] :
( app(skaf61(X0),nil) = nil
| ~ rearsegP(nil,skaf61(X0))
| ~ ssList(nil)
| ~ ssList(skaf61(X0)) ),
inference(paramodulation,[status(thm)],[f1002,f3457]) ).
fof(f3796,plain,
! [X0] :
( app(skaf58(X0),nil) = nil
| ~ rearsegP(nil,skaf58(X0))
| ~ ssList(nil)
| ~ ssList(skaf58(X0)) ),
inference(paramodulation,[status(thm)],[f1001,f3457]) ).
fof(f3797,plain,
! [X0] :
( app(skaf57(X0),nil) = nil
| ~ rearsegP(nil,skaf57(X0))
| ~ ssList(nil)
| ~ ssList(skaf57(X0)) ),
inference(paramodulation,[status(thm)],[f1000,f3457]) ).
fof(f3798,plain,
! [X0] :
( app(skaf56(X0),nil) = nil
| ~ rearsegP(nil,skaf56(X0))
| ~ ssList(nil)
| ~ ssList(skaf56(X0)) ),
inference(paramodulation,[status(thm)],[f999,f3457]) ).
fof(f3799,plain,
! [X0] :
( app(skaf53(X0),nil) = nil
| ~ rearsegP(nil,skaf53(X0))
| ~ ssList(nil)
| ~ ssList(skaf53(X0)) ),
inference(paramodulation,[status(thm)],[f998,f3457]) ).
fof(f3800,plain,
! [X0] :
( app(skaf52(X0),nil) = nil
| ~ rearsegP(nil,skaf52(X0))
| ~ ssList(nil)
| ~ ssList(skaf52(X0)) ),
inference(paramodulation,[status(thm)],[f997,f3457]) ).
fof(f3801,plain,
! [X0] :
( app(skaf51(X0),nil) = nil
| ~ rearsegP(nil,skaf51(X0))
| ~ ssList(nil)
| ~ ssList(skaf51(X0)) ),
inference(paramodulation,[status(thm)],[f996,f3457]) ).
fof(f3804,plain,
( app(nil,nil) = nil
| ~ rearsegP(nil,nil)
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1004,f3457]) ).
fof(f3805,plain,
( app(nil,sk3) = sk3
| ~ rearsegP(sk3,sk3)
| ~ ssList(sk3)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1206,f3457]) ).
fof(f3806,plain,
( app(nil,sk4) = sk4
| ~ rearsegP(sk4,sk4)
| ~ ssList(sk4)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1235,f3457]) ).
fof(f3810,definition,
! [X0] :
( sQ397_spl
<=> ( app(skaf77(X0),nil) = nil
| ~ rearsegP(nil,skaf77(X0))
| ~ ssList(skaf77(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ397_spl])],[split_symbol_definition]) ).
fof(f3813,plain,
( ~ sQ14_spl
| sQ397_spl ),
inference(split_clause,[status(thm)],[f3784,f3810,f581]) ).
fof(f3814,definition,
! [X0] :
( sQ398_spl
<=> ( app(skaf76(X0),nil) = nil
| ~ rearsegP(nil,skaf76(X0))
| ~ ssList(skaf76(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ398_spl])],[split_symbol_definition]) ).
fof(f3817,plain,
( ~ sQ14_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f3785,f3814,f581]) ).
fof(f3818,definition,
! [X0] :
( sQ399_spl
<=> ( app(skaf75(X0),nil) = nil
| ~ rearsegP(nil,skaf75(X0))
| ~ ssList(skaf75(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ399_spl])],[split_symbol_definition]) ).
fof(f3821,plain,
( ~ sQ14_spl
| sQ399_spl ),
inference(split_clause,[status(thm)],[f3786,f3818,f581]) ).
fof(f3822,definition,
! [X0] :
( sQ400_spl
<=> ( app(skaf73(X0),nil) = nil
| ~ rearsegP(nil,skaf73(X0))
| ~ ssList(skaf73(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ400_spl])],[split_symbol_definition]) ).
fof(f3825,plain,
( ~ sQ14_spl
| sQ400_spl ),
inference(split_clause,[status(thm)],[f3787,f3822,f581]) ).
fof(f3826,definition,
! [X0] :
( sQ401_spl
<=> ( app(skaf72(X0),nil) = nil
| ~ rearsegP(nil,skaf72(X0))
| ~ ssList(skaf72(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ401_spl])],[split_symbol_definition]) ).
fof(f3829,plain,
( ~ sQ14_spl
| sQ401_spl ),
inference(split_clause,[status(thm)],[f3788,f3826,f581]) ).
fof(f3830,definition,
! [X0] :
( sQ402_spl
<=> ( app(skaf71(X0),nil) = nil
| ~ rearsegP(nil,skaf71(X0))
| ~ ssList(skaf71(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ402_spl])],[split_symbol_definition]) ).
fof(f3833,plain,
( ~ sQ14_spl
| sQ402_spl ),
inference(split_clause,[status(thm)],[f3789,f3830,f581]) ).
fof(f3834,definition,
! [X0] :
( sQ403_spl
<=> ( app(skaf68(X0),nil) = nil
| ~ rearsegP(nil,skaf68(X0))
| ~ ssList(skaf68(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ403_spl])],[split_symbol_definition]) ).
fof(f3837,plain,
( ~ sQ14_spl
| sQ403_spl ),
inference(split_clause,[status(thm)],[f3790,f3834,f581]) ).
fof(f3838,definition,
! [X0] :
( sQ404_spl
<=> ( app(skaf67(X0),nil) = nil
| ~ rearsegP(nil,skaf67(X0))
| ~ ssList(skaf67(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ404_spl])],[split_symbol_definition]) ).
fof(f3841,plain,
( ~ sQ14_spl
| sQ404_spl ),
inference(split_clause,[status(thm)],[f3791,f3838,f581]) ).
fof(f3842,definition,
! [X0] :
( sQ405_spl
<=> ( app(skaf66(X0),nil) = nil
| ~ rearsegP(nil,skaf66(X0))
| ~ ssList(skaf66(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ405_spl])],[split_symbol_definition]) ).
fof(f3845,plain,
( ~ sQ14_spl
| sQ405_spl ),
inference(split_clause,[status(thm)],[f3792,f3842,f581]) ).
fof(f3846,definition,
! [X0] :
( sQ406_spl
<=> ( app(skaf63(X0),nil) = nil
| ~ rearsegP(nil,skaf63(X0))
| ~ ssList(skaf63(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ406_spl])],[split_symbol_definition]) ).
fof(f3849,plain,
( ~ sQ14_spl
| sQ406_spl ),
inference(split_clause,[status(thm)],[f3793,f3846,f581]) ).
fof(f3850,definition,
! [X0] :
( sQ407_spl
<=> ( app(skaf62(X0),nil) = nil
| ~ rearsegP(nil,skaf62(X0))
| ~ ssList(skaf62(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ407_spl])],[split_symbol_definition]) ).
fof(f3853,plain,
( ~ sQ14_spl
| sQ407_spl ),
inference(split_clause,[status(thm)],[f3794,f3850,f581]) ).
fof(f3854,definition,
! [X0] :
( sQ408_spl
<=> ( app(skaf61(X0),nil) = nil
| ~ rearsegP(nil,skaf61(X0))
| ~ ssList(skaf61(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ408_spl])],[split_symbol_definition]) ).
fof(f3857,plain,
( ~ sQ14_spl
| sQ408_spl ),
inference(split_clause,[status(thm)],[f3795,f3854,f581]) ).
fof(f3858,definition,
! [X0] :
( sQ409_spl
<=> ( app(skaf58(X0),nil) = nil
| ~ rearsegP(nil,skaf58(X0))
| ~ ssList(skaf58(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ409_spl])],[split_symbol_definition]) ).
fof(f3861,plain,
( ~ sQ14_spl
| sQ409_spl ),
inference(split_clause,[status(thm)],[f3796,f3858,f581]) ).
fof(f3862,definition,
! [X0] :
( sQ410_spl
<=> ( app(skaf57(X0),nil) = nil
| ~ rearsegP(nil,skaf57(X0))
| ~ ssList(skaf57(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ410_spl])],[split_symbol_definition]) ).
fof(f3865,plain,
( ~ sQ14_spl
| sQ410_spl ),
inference(split_clause,[status(thm)],[f3797,f3862,f581]) ).
fof(f3866,definition,
! [X0] :
( sQ411_spl
<=> ( app(skaf56(X0),nil) = nil
| ~ rearsegP(nil,skaf56(X0))
| ~ ssList(skaf56(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ411_spl])],[split_symbol_definition]) ).
fof(f3869,plain,
( ~ sQ14_spl
| sQ411_spl ),
inference(split_clause,[status(thm)],[f3798,f3866,f581]) ).
fof(f3870,definition,
! [X0] :
( sQ412_spl
<=> ( app(skaf53(X0),nil) = nil
| ~ rearsegP(nil,skaf53(X0))
| ~ ssList(skaf53(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ412_spl])],[split_symbol_definition]) ).
fof(f3873,plain,
( ~ sQ14_spl
| sQ412_spl ),
inference(split_clause,[status(thm)],[f3799,f3870,f581]) ).
fof(f3874,definition,
! [X0] :
( sQ413_spl
<=> ( app(skaf52(X0),nil) = nil
| ~ rearsegP(nil,skaf52(X0))
| ~ ssList(skaf52(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ413_spl])],[split_symbol_definition]) ).
fof(f3877,plain,
( ~ sQ14_spl
| sQ413_spl ),
inference(split_clause,[status(thm)],[f3800,f3874,f581]) ).
fof(f3878,definition,
! [X0] :
( sQ414_spl
<=> ( app(skaf51(X0),nil) = nil
| ~ rearsegP(nil,skaf51(X0))
| ~ ssList(skaf51(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ414_spl])],[split_symbol_definition]) ).
fof(f3881,plain,
( ~ sQ14_spl
| sQ414_spl ),
inference(split_clause,[status(thm)],[f3801,f3878,f581]) ).
fof(f3890,definition,
( sQ417_spl
<=> app(nil,nil) = nil ),
introduced(definition,[new_symbols(definition,[sQ417_spl])],[split_symbol_definition]) ).
fof(f3893,plain,
( sQ417_spl
| ~ sQ15_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f3804,f581,f584,f3890]) ).
fof(f3894,definition,
( sQ418_spl
<=> app(nil,sk3) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ418_spl])],[split_symbol_definition]) ).
fof(f3897,plain,
( sQ418_spl
| ~ sQ97_spl
| ~ sQ12_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f3805,f581,f572,f1293,f3894]) ).
fof(f3898,definition,
( sQ419_spl
<=> app(nil,sk4) = sk4 ),
introduced(definition,[new_symbols(definition,[sQ419_spl])],[split_symbol_definition]) ).
fof(f3901,plain,
( sQ419_spl
| ~ sQ107_spl
| ~ sQ10_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f3806,f581,f554,f1343,f3898]) ).
fof(f3920,plain,
! [X0] :
( app(skaf80(X0),nil) = nil
| ~ rearsegP(nil,skaf80(X0))
| ~ ssList(nil)
| ~ ssList(skaf80(X0)) ),
inference(paramodulation,[status(thm)],[f1015,f3457]) ).
fof(f3921,plain,
! [X0] :
( rearsegP(skaf80(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf80(X0)) ),
inference(paramodulation,[status(thm)],[f1015,f3326]) ).
fof(f3922,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)],[f1015,f742]) ).
fof(f3923,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)],[f1015,f741]) ).
fof(f3924,plain,
! [X0,X1] :
( segmentP(app(app(skaf80(X1),nil),X0),nil)
| ~ ssList(app(skaf80(X1),X0))
| ~ ssList(nil)
| ~ ssList(skaf80(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1015,f501]) ).
fof(f3925,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)],[f1015,f404]) ).
fof(f3926,plain,
! [X0,X1] :
( rearsegP(skaf80(X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf80(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1015,f350]) ).
fof(f3927,definition,
! [X0] :
( sQ420_spl
<=> ( app(skaf80(X0),nil) = nil
| ~ rearsegP(nil,skaf80(X0))
| ~ ssList(skaf80(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ420_spl])],[split_symbol_definition]) ).
fof(f3930,plain,
( ~ sQ14_spl
| sQ420_spl ),
inference(split_clause,[status(thm)],[f3920,f3927,f581]) ).
fof(f3931,definition,
! [X0] :
( sQ421_spl
<=> ( rearsegP(skaf80(X0),nil)
| ~ ssList(skaf80(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ421_spl])],[split_symbol_definition]) ).
fof(f3934,plain,
( ~ sQ14_spl
| sQ421_spl ),
inference(split_clause,[status(thm)],[f3921,f3931,f581]) ).
fof(f3935,definition,
! [X0,X1,X2] :
( sQ422_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,[sQ422_spl])],[split_symbol_definition]) ).
fof(f3938,plain,
( ~ sQ14_spl
| sQ422_spl ),
inference(split_clause,[status(thm)],[f3922,f3935,f581]) ).
fof(f3939,definition,
! [X0,X1,X2,X3] :
( sQ423_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,[sQ423_spl])],[split_symbol_definition]) ).
fof(f3942,plain,
( ~ sQ14_spl
| sQ423_spl ),
inference(split_clause,[status(thm)],[f3923,f3939,f581]) ).
fof(f3943,definition,
! [X0,X1] :
( sQ424_spl
<=> ( segmentP(app(app(skaf80(X1),nil),X0),nil)
| ~ ssList(app(skaf80(X1),X0))
| ~ ssList(skaf80(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ424_spl])],[split_symbol_definition]) ).
fof(f3946,plain,
( ~ sQ14_spl
| sQ424_spl ),
inference(split_clause,[status(thm)],[f3924,f3943,f581]) ).
fof(f3947,definition,
! [X0,X1,X2] :
( sQ425_spl
<=> ( segmentP(app(skaf80(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf80(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ425_spl])],[split_symbol_definition]) ).
fof(f3950,plain,
( ~ sQ14_spl
| sQ425_spl ),
inference(split_clause,[status(thm)],[f3925,f3947,f581]) ).
fof(f3951,definition,
! [X0,X1] :
( sQ426_spl
<=> ( rearsegP(skaf80(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf80(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ426_spl])],[split_symbol_definition]) ).
fof(f3952,plain,
! [X0,X1] :
( ~ sQ426_spl
| rearsegP(skaf80(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf80(X1))
| ~ rearsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f3951]) ).
fof(f3954,plain,
( ~ sQ14_spl
| sQ426_spl ),
inference(split_clause,[status(thm)],[f3926,f3951,f581]) ).
fof(f3963,plain,
! [X0,X1] :
( ~ sQ426_spl
| rearsegP(skaf80(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3952,f214]) ).
fof(f3964,plain,
! [X0] :
( app(skaf81(X0),nil) = nil
| ~ rearsegP(nil,skaf81(X0))
| ~ ssList(nil)
| ~ ssList(skaf81(X0)) ),
inference(paramodulation,[status(thm)],[f1016,f3457]) ).
fof(f3965,plain,
! [X0] :
( rearsegP(skaf81(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf81(X0)) ),
inference(paramodulation,[status(thm)],[f1016,f3326]) ).
fof(f3966,plain,
! [X0,X1,X2] :
( app(app(skaf81(X2),nil),X1) = X0
| ~ ssList(app(skaf81(X2),X1))
| ~ segmentP(X0,app(app(skaf81(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf81(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1016,f742]) ).
fof(f3967,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf81(X2),X1))
| ~ segmentP(X3,app(app(skaf81(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf81(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1016,f741]) ).
fof(f3968,plain,
! [X0,X1] :
( segmentP(app(app(skaf81(X1),nil),X0),nil)
| ~ ssList(app(skaf81(X1),X0))
| ~ ssList(nil)
| ~ ssList(skaf81(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1016,f501]) ).
fof(f3969,plain,
! [X0,X1,X2] :
( segmentP(app(skaf81(X2),X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf81(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1016,f404]) ).
fof(f3970,plain,
! [X0,X1] :
( rearsegP(skaf81(X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf81(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1016,f350]) ).
fof(f3971,definition,
! [X0] :
( sQ427_spl
<=> ( app(skaf81(X0),nil) = nil
| ~ rearsegP(nil,skaf81(X0))
| ~ ssList(skaf81(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ427_spl])],[split_symbol_definition]) ).
fof(f3974,plain,
( ~ sQ14_spl
| sQ427_spl ),
inference(split_clause,[status(thm)],[f3964,f3971,f581]) ).
fof(f3975,definition,
! [X0] :
( sQ428_spl
<=> ( rearsegP(skaf81(X0),nil)
| ~ ssList(skaf81(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ428_spl])],[split_symbol_definition]) ).
fof(f3978,plain,
( ~ sQ14_spl
| sQ428_spl ),
inference(split_clause,[status(thm)],[f3965,f3975,f581]) ).
fof(f3979,definition,
! [X0,X1,X2] :
( sQ429_spl
<=> ( app(app(skaf81(X2),nil),X1) = X0
| ~ ssList(app(skaf81(X2),X1))
| ~ segmentP(X0,app(app(skaf81(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf81(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ429_spl])],[split_symbol_definition]) ).
fof(f3982,plain,
( ~ sQ14_spl
| sQ429_spl ),
inference(split_clause,[status(thm)],[f3966,f3979,f581]) ).
fof(f3983,definition,
! [X0,X1,X2,X3] :
( sQ430_spl
<=> ( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf81(X2),X1))
| ~ segmentP(X3,app(app(skaf81(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf81(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ430_spl])],[split_symbol_definition]) ).
fof(f3986,plain,
( ~ sQ14_spl
| sQ430_spl ),
inference(split_clause,[status(thm)],[f3967,f3983,f581]) ).
fof(f3987,definition,
! [X0,X1] :
( sQ431_spl
<=> ( segmentP(app(app(skaf81(X1),nil),X0),nil)
| ~ ssList(app(skaf81(X1),X0))
| ~ ssList(skaf81(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ431_spl])],[split_symbol_definition]) ).
fof(f3990,plain,
( ~ sQ14_spl
| sQ431_spl ),
inference(split_clause,[status(thm)],[f3968,f3987,f581]) ).
fof(f3991,definition,
! [X0,X1,X2] :
( sQ432_spl
<=> ( segmentP(app(skaf81(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf81(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ432_spl])],[split_symbol_definition]) ).
fof(f3994,plain,
( ~ sQ14_spl
| sQ432_spl ),
inference(split_clause,[status(thm)],[f3969,f3991,f581]) ).
fof(f3995,definition,
! [X0,X1] :
( sQ433_spl
<=> ( rearsegP(skaf81(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf81(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ433_spl])],[split_symbol_definition]) ).
fof(f3996,plain,
! [X0,X1] :
( ~ sQ433_spl
| rearsegP(skaf81(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf81(X1))
| ~ rearsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f3995]) ).
fof(f3998,plain,
( ~ sQ14_spl
| sQ433_spl ),
inference(split_clause,[status(thm)],[f3970,f3995,f581]) ).
fof(f4007,plain,
! [X0,X1] :
( ~ sQ433_spl
| rearsegP(skaf81(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3996,f213]) ).
fof(f4008,plain,
! [X0] :
( app(skaf82(X0),nil) = nil
| ~ rearsegP(nil,skaf82(X0))
| ~ ssList(nil)
| ~ ssList(skaf82(X0)) ),
inference(paramodulation,[status(thm)],[f1017,f3457]) ).
fof(f4009,plain,
! [X0] :
( rearsegP(skaf82(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf82(X0)) ),
inference(paramodulation,[status(thm)],[f1017,f3326]) ).
fof(f4010,plain,
! [X0,X1,X2] :
( app(app(skaf82(X2),nil),X1) = X0
| ~ ssList(app(skaf82(X2),X1))
| ~ segmentP(X0,app(app(skaf82(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf82(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1017,f742]) ).
fof(f4011,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf82(X2),X1))
| ~ segmentP(X3,app(app(skaf82(X2),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf82(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1017,f741]) ).
fof(f4012,plain,
! [X0,X1] :
( segmentP(app(app(skaf82(X1),nil),X0),nil)
| ~ ssList(app(skaf82(X1),X0))
| ~ ssList(nil)
| ~ ssList(skaf82(X1))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1017,f501]) ).
fof(f4013,plain,
! [X0,X1,X2] :
( segmentP(app(skaf82(X2),X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf82(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1017,f404]) ).
fof(f4014,plain,
! [X0,X1] :
( rearsegP(skaf82(X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf82(X1))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1017,f350]) ).
fof(f4015,definition,
! [X0] :
( sQ434_spl
<=> ( app(skaf82(X0),nil) = nil
| ~ rearsegP(nil,skaf82(X0))
| ~ ssList(skaf82(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ434_spl])],[split_symbol_definition]) ).
fof(f4018,plain,
( ~ sQ14_spl
| sQ434_spl ),
inference(split_clause,[status(thm)],[f4008,f4015,f581]) ).
fof(f4019,definition,
! [X0] :
( sQ435_spl
<=> ( rearsegP(skaf82(X0),nil)
| ~ ssList(skaf82(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ435_spl])],[split_symbol_definition]) ).
fof(f4022,plain,
( ~ sQ14_spl
| sQ435_spl ),
inference(split_clause,[status(thm)],[f4009,f4019,f581]) ).
fof(f4023,definition,
! [X0,X1,X2] :
( sQ436_spl
<=> ( app(app(skaf82(X2),nil),X1) = X0
| ~ ssList(app(skaf82(X2),X1))
| ~ segmentP(X0,app(app(skaf82(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf82(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ436_spl])],[split_symbol_definition]) ).
fof(f4026,plain,
( ~ sQ14_spl
| sQ436_spl ),
inference(split_clause,[status(thm)],[f4010,f4023,f581]) ).
fof(f4027,definition,
! [X0,X1,X2,X3] :
( sQ437_spl
<=> ( segmentP(X3,X0)
| ~ ssList(X3)
| ~ ssList(app(skaf82(X2),X1))
| ~ segmentP(X3,app(app(skaf82(X2),nil),X1))
| ~ ssList(X0)
| ~ ssList(skaf82(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ437_spl])],[split_symbol_definition]) ).
fof(f4030,plain,
( ~ sQ14_spl
| sQ437_spl ),
inference(split_clause,[status(thm)],[f4011,f4027,f581]) ).
fof(f4031,definition,
! [X0,X1] :
( sQ438_spl
<=> ( segmentP(app(app(skaf82(X1),nil),X0),nil)
| ~ ssList(app(skaf82(X1),X0))
| ~ ssList(skaf82(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ438_spl])],[split_symbol_definition]) ).
fof(f4034,plain,
( ~ sQ14_spl
| sQ438_spl ),
inference(split_clause,[status(thm)],[f4012,f4031,f581]) ).
fof(f4035,definition,
! [X0,X1,X2] :
( sQ439_spl
<=> ( segmentP(app(skaf82(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf82(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ439_spl])],[split_symbol_definition]) ).
fof(f4038,plain,
( ~ sQ14_spl
| sQ439_spl ),
inference(split_clause,[status(thm)],[f4013,f4035,f581]) ).
fof(f4039,definition,
! [X0,X1] :
( sQ440_spl
<=> ( rearsegP(skaf82(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf82(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ440_spl])],[split_symbol_definition]) ).
fof(f4040,plain,
! [X0,X1] :
( ~ sQ440_spl
| rearsegP(skaf82(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf82(X1))
| ~ rearsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f4039]) ).
fof(f4042,plain,
( ~ sQ14_spl
| sQ440_spl ),
inference(split_clause,[status(thm)],[f4014,f4039,f581]) ).
fof(f4051,plain,
! [X0,X1] :
( ~ sQ440_spl
| rearsegP(skaf82(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f4040,f212]) ).
fof(f4053,plain,
! [X0] :
( app(nil,skaf51(X0)) = skaf51(X0)
| ~ rearsegP(skaf51(X0),skaf51(X0))
| ~ ssList(skaf51(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1213,f3457]) ).
fof(f4054,plain,
! [X0] :
( rearsegP(skaf51(X0),skaf51(X0))
| ~ ssList(skaf51(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1213,f3326]) ).
fof(f4055,plain,
! [X0,X1,X2] :
( app(app(nil,skaf51(X0)),X2) = X1
| ~ ssList(app(skaf51(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf51(X0)),X2))
| ~ ssList(skaf51(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf51(X0),X1) ),
inference(paramodulation,[status(thm)],[f1213,f742]) ).
fof(f4056,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf51(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf51(X0)),X2))
| ~ ssList(skaf51(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf51(X0),X1) ),
inference(paramodulation,[status(thm)],[f1213,f741]) ).
fof(f4057,plain,
! [X0,X1] :
( segmentP(app(app(nil,skaf51(X1)),X0),skaf51(X1))
| ~ ssList(app(skaf51(X1),X0))
| ~ ssList(skaf51(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1213,f501]) ).
fof(f4058,plain,
! [X0,X1,X2] :
( segmentP(app(skaf51(X0),X2),X1)
| ~ ssList(skaf51(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf51(X0),X1) ),
inference(paramodulation,[status(thm)],[f1213,f404]) ).
fof(f4059,plain,
! [X0,X1] :
( rearsegP(skaf51(X0),X1)
| ~ ssList(skaf51(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(skaf51(X0),X1) ),
inference(paramodulation,[status(thm)],[f1213,f350]) ).
fof(f4060,definition,
! [X0] :
( sQ441_spl
<=> ( app(nil,skaf51(X0)) = skaf51(X0)
| ~ rearsegP(skaf51(X0),skaf51(X0))
| ~ ssList(skaf51(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ441_spl])],[split_symbol_definition]) ).
fof(f4063,plain,
( sQ441_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f4053,f581,f4060]) ).
fof(f4064,definition,
! [X0] :
( sQ442_spl
<=> ( rearsegP(skaf51(X0),skaf51(X0))
| ~ ssList(skaf51(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ442_spl])],[split_symbol_definition]) ).
fof(f4067,plain,
( sQ442_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f4054,f581,f4064]) ).
fof(f4068,definition,
! [X0,X1,X2] :
( sQ443_spl
<=> ( app(app(nil,skaf51(X0)),X2) = X1
| ~ ssList(app(skaf51(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf51(X0)),X2))
| ~ ssList(skaf51(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf51(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ443_spl])],[split_symbol_definition]) ).
fof(f4071,plain,
( ~ sQ14_spl
| sQ443_spl ),
inference(split_clause,[status(thm)],[f4055,f4068,f581]) ).
fof(f4072,definition,
! [X0,X1,X2,X3] :
( sQ444_spl
<=> ( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf51(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf51(X0)),X2))
| ~ ssList(skaf51(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf51(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ444_spl])],[split_symbol_definition]) ).
fof(f4075,plain,
( ~ sQ14_spl
| sQ444_spl ),
inference(split_clause,[status(thm)],[f4056,f4072,f581]) ).
fof(f4076,definition,
! [X0,X1] :
( sQ445_spl
<=> ( segmentP(app(app(nil,skaf51(X1)),X0),skaf51(X1))
| ~ ssList(app(skaf51(X1),X0))
| ~ ssList(skaf51(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ445_spl])],[split_symbol_definition]) ).
fof(f4079,plain,
( ~ sQ14_spl
| sQ445_spl ),
inference(split_clause,[status(thm)],[f4057,f4076,f581]) ).
fof(f4080,definition,
! [X0,X1,X2] :
( sQ446_spl
<=> ( segmentP(app(skaf51(X0),X2),X1)
| ~ ssList(skaf51(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf51(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ446_spl])],[split_symbol_definition]) ).
fof(f4083,plain,
( ~ sQ14_spl
| sQ446_spl ),
inference(split_clause,[status(thm)],[f4058,f4080,f581]) ).
fof(f4084,definition,
! [X0,X1] :
( sQ447_spl
<=> ( rearsegP(skaf51(X0),X1)
| ~ ssList(skaf51(X0))
| ~ ssList(X1)
| ~ rearsegP(skaf51(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ447_spl])],[split_symbol_definition]) ).
fof(f4087,plain,
( ~ sQ14_spl
| sQ447_spl ),
inference(split_clause,[status(thm)],[f4059,f4084,f581]) ).
fof(f4097,plain,
! [X0] :
( app(nil,skaf52(X0)) = skaf52(X0)
| ~ rearsegP(skaf52(X0),skaf52(X0))
| ~ ssList(skaf52(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1214,f3457]) ).
fof(f4098,plain,
! [X0] :
( rearsegP(skaf52(X0),skaf52(X0))
| ~ ssList(skaf52(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1214,f3326]) ).
fof(f4099,plain,
! [X0,X1,X2] :
( app(app(nil,skaf52(X0)),X2) = X1
| ~ ssList(app(skaf52(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf52(X0)),X2))
| ~ ssList(skaf52(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf52(X0),X1) ),
inference(paramodulation,[status(thm)],[f1214,f742]) ).
fof(f4100,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf52(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf52(X0)),X2))
| ~ ssList(skaf52(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf52(X0),X1) ),
inference(paramodulation,[status(thm)],[f1214,f741]) ).
fof(f4101,plain,
! [X0,X1] :
( segmentP(app(app(nil,skaf52(X1)),X0),skaf52(X1))
| ~ ssList(app(skaf52(X1),X0))
| ~ ssList(skaf52(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1214,f501]) ).
fof(f4102,plain,
! [X0,X1,X2] :
( segmentP(app(skaf52(X0),X2),X1)
| ~ ssList(skaf52(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf52(X0),X1) ),
inference(paramodulation,[status(thm)],[f1214,f404]) ).
fof(f4103,plain,
! [X0,X1] :
( rearsegP(skaf52(X0),X1)
| ~ ssList(skaf52(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(skaf52(X0),X1) ),
inference(paramodulation,[status(thm)],[f1214,f350]) ).
fof(f4104,definition,
! [X0] :
( sQ448_spl
<=> ( app(nil,skaf52(X0)) = skaf52(X0)
| ~ rearsegP(skaf52(X0),skaf52(X0))
| ~ ssList(skaf52(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ448_spl])],[split_symbol_definition]) ).
fof(f4107,plain,
( sQ448_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f4097,f581,f4104]) ).
fof(f4108,definition,
! [X0] :
( sQ449_spl
<=> ( rearsegP(skaf52(X0),skaf52(X0))
| ~ ssList(skaf52(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ449_spl])],[split_symbol_definition]) ).
fof(f4111,plain,
( sQ449_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f4098,f581,f4108]) ).
fof(f4112,definition,
! [X0,X1,X2] :
( sQ450_spl
<=> ( app(app(nil,skaf52(X0)),X2) = X1
| ~ ssList(app(skaf52(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf52(X0)),X2))
| ~ ssList(skaf52(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf52(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ450_spl])],[split_symbol_definition]) ).
fof(f4115,plain,
( ~ sQ14_spl
| sQ450_spl ),
inference(split_clause,[status(thm)],[f4099,f4112,f581]) ).
fof(f4116,definition,
! [X0,X1,X2,X3] :
( sQ451_spl
<=> ( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf52(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf52(X0)),X2))
| ~ ssList(skaf52(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf52(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ451_spl])],[split_symbol_definition]) ).
fof(f4119,plain,
( ~ sQ14_spl
| sQ451_spl ),
inference(split_clause,[status(thm)],[f4100,f4116,f581]) ).
fof(f4120,definition,
! [X0,X1] :
( sQ452_spl
<=> ( segmentP(app(app(nil,skaf52(X1)),X0),skaf52(X1))
| ~ ssList(app(skaf52(X1),X0))
| ~ ssList(skaf52(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ452_spl])],[split_symbol_definition]) ).
fof(f4123,plain,
( ~ sQ14_spl
| sQ452_spl ),
inference(split_clause,[status(thm)],[f4101,f4120,f581]) ).
fof(f4124,definition,
! [X0,X1,X2] :
( sQ453_spl
<=> ( segmentP(app(skaf52(X0),X2),X1)
| ~ ssList(skaf52(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf52(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ453_spl])],[split_symbol_definition]) ).
fof(f4127,plain,
( ~ sQ14_spl
| sQ453_spl ),
inference(split_clause,[status(thm)],[f4102,f4124,f581]) ).
fof(f4128,definition,
! [X0,X1] :
( sQ454_spl
<=> ( rearsegP(skaf52(X0),X1)
| ~ ssList(skaf52(X0))
| ~ ssList(X1)
| ~ rearsegP(skaf52(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ454_spl])],[split_symbol_definition]) ).
fof(f4131,plain,
( ~ sQ14_spl
| sQ454_spl ),
inference(split_clause,[status(thm)],[f4103,f4128,f581]) ).
fof(f4141,plain,
! [X0] :
( app(nil,skaf53(X0)) = skaf53(X0)
| ~ rearsegP(skaf53(X0),skaf53(X0))
| ~ ssList(skaf53(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1215,f3457]) ).
fof(f4142,plain,
! [X0] :
( rearsegP(skaf53(X0),skaf53(X0))
| ~ ssList(skaf53(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1215,f3326]) ).
fof(f4143,plain,
! [X0,X1,X2] :
( app(app(nil,skaf53(X0)),X2) = X1
| ~ ssList(app(skaf53(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf53(X0)),X2))
| ~ ssList(skaf53(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf53(X0),X1) ),
inference(paramodulation,[status(thm)],[f1215,f742]) ).
fof(f4144,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf53(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf53(X0)),X2))
| ~ ssList(skaf53(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf53(X0),X1) ),
inference(paramodulation,[status(thm)],[f1215,f741]) ).
fof(f4145,plain,
! [X0,X1] :
( segmentP(app(app(nil,skaf53(X1)),X0),skaf53(X1))
| ~ ssList(app(skaf53(X1),X0))
| ~ ssList(skaf53(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1215,f501]) ).
fof(f4146,plain,
! [X0,X1,X2] :
( segmentP(app(skaf53(X0),X2),X1)
| ~ ssList(skaf53(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf53(X0),X1) ),
inference(paramodulation,[status(thm)],[f1215,f404]) ).
fof(f4147,plain,
! [X0,X1] :
( rearsegP(skaf53(X0),X1)
| ~ ssList(skaf53(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(skaf53(X0),X1) ),
inference(paramodulation,[status(thm)],[f1215,f350]) ).
fof(f4148,definition,
! [X0] :
( sQ455_spl
<=> ( app(nil,skaf53(X0)) = skaf53(X0)
| ~ rearsegP(skaf53(X0),skaf53(X0))
| ~ ssList(skaf53(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ455_spl])],[split_symbol_definition]) ).
fof(f4151,plain,
( sQ455_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f4141,f581,f4148]) ).
fof(f4152,definition,
! [X0] :
( sQ456_spl
<=> ( rearsegP(skaf53(X0),skaf53(X0))
| ~ ssList(skaf53(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ456_spl])],[split_symbol_definition]) ).
fof(f4155,plain,
( sQ456_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f4142,f581,f4152]) ).
fof(f4156,definition,
! [X0,X1,X2] :
( sQ457_spl
<=> ( app(app(nil,skaf53(X0)),X2) = X1
| ~ ssList(app(skaf53(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf53(X0)),X2))
| ~ ssList(skaf53(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf53(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ457_spl])],[split_symbol_definition]) ).
fof(f4159,plain,
( ~ sQ14_spl
| sQ457_spl ),
inference(split_clause,[status(thm)],[f4143,f4156,f581]) ).
fof(f4160,definition,
! [X0,X1,X2,X3] :
( sQ458_spl
<=> ( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf53(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf53(X0)),X2))
| ~ ssList(skaf53(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf53(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ458_spl])],[split_symbol_definition]) ).
fof(f4163,plain,
( ~ sQ14_spl
| sQ458_spl ),
inference(split_clause,[status(thm)],[f4144,f4160,f581]) ).
fof(f4164,definition,
! [X0,X1] :
( sQ459_spl
<=> ( segmentP(app(app(nil,skaf53(X1)),X0),skaf53(X1))
| ~ ssList(app(skaf53(X1),X0))
| ~ ssList(skaf53(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ459_spl])],[split_symbol_definition]) ).
fof(f4167,plain,
( ~ sQ14_spl
| sQ459_spl ),
inference(split_clause,[status(thm)],[f4145,f4164,f581]) ).
fof(f4168,definition,
! [X0,X1,X2] :
( sQ460_spl
<=> ( segmentP(app(skaf53(X0),X2),X1)
| ~ ssList(skaf53(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf53(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ460_spl])],[split_symbol_definition]) ).
fof(f4171,plain,
( ~ sQ14_spl
| sQ460_spl ),
inference(split_clause,[status(thm)],[f4146,f4168,f581]) ).
fof(f4172,definition,
! [X0,X1] :
( sQ461_spl
<=> ( rearsegP(skaf53(X0),X1)
| ~ ssList(skaf53(X0))
| ~ ssList(X1)
| ~ rearsegP(skaf53(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ461_spl])],[split_symbol_definition]) ).
fof(f4175,plain,
( ~ sQ14_spl
| sQ461_spl ),
inference(split_clause,[status(thm)],[f4147,f4172,f581]) ).
fof(f4185,plain,
! [X0] :
( app(nil,skaf56(X0)) = skaf56(X0)
| ~ rearsegP(skaf56(X0),skaf56(X0))
| ~ ssList(skaf56(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1216,f3457]) ).
fof(f4186,plain,
! [X0] :
( rearsegP(skaf56(X0),skaf56(X0))
| ~ ssList(skaf56(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1216,f3326]) ).
fof(f4187,plain,
! [X0,X1,X2] :
( app(app(nil,skaf56(X0)),X2) = X1
| ~ ssList(app(skaf56(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf56(X0)),X2))
| ~ ssList(skaf56(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf56(X0),X1) ),
inference(paramodulation,[status(thm)],[f1216,f742]) ).
fof(f4188,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf56(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf56(X0)),X2))
| ~ ssList(skaf56(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf56(X0),X1) ),
inference(paramodulation,[status(thm)],[f1216,f741]) ).
fof(f4189,plain,
! [X0,X1] :
( segmentP(app(app(nil,skaf56(X1)),X0),skaf56(X1))
| ~ ssList(app(skaf56(X1),X0))
| ~ ssList(skaf56(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1216,f501]) ).
fof(f4190,plain,
! [X0,X1,X2] :
( segmentP(app(skaf56(X0),X2),X1)
| ~ ssList(skaf56(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf56(X0),X1) ),
inference(paramodulation,[status(thm)],[f1216,f404]) ).
fof(f4191,plain,
! [X0,X1] :
( rearsegP(skaf56(X0),X1)
| ~ ssList(skaf56(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(skaf56(X0),X1) ),
inference(paramodulation,[status(thm)],[f1216,f350]) ).
fof(f4192,definition,
! [X0] :
( sQ462_spl
<=> ( app(nil,skaf56(X0)) = skaf56(X0)
| ~ rearsegP(skaf56(X0),skaf56(X0))
| ~ ssList(skaf56(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ462_spl])],[split_symbol_definition]) ).
fof(f4195,plain,
( sQ462_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f4185,f581,f4192]) ).
fof(f4196,definition,
! [X0] :
( sQ463_spl
<=> ( rearsegP(skaf56(X0),skaf56(X0))
| ~ ssList(skaf56(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ463_spl])],[split_symbol_definition]) ).
fof(f4199,plain,
( sQ463_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f4186,f581,f4196]) ).
fof(f4200,definition,
! [X0,X1,X2] :
( sQ464_spl
<=> ( app(app(nil,skaf56(X0)),X2) = X1
| ~ ssList(app(skaf56(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf56(X0)),X2))
| ~ ssList(skaf56(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf56(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ464_spl])],[split_symbol_definition]) ).
fof(f4203,plain,
( ~ sQ14_spl
| sQ464_spl ),
inference(split_clause,[status(thm)],[f4187,f4200,f581]) ).
fof(f4204,definition,
! [X0,X1,X2,X3] :
( sQ465_spl
<=> ( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf56(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf56(X0)),X2))
| ~ ssList(skaf56(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf56(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ465_spl])],[split_symbol_definition]) ).
fof(f4207,plain,
( ~ sQ14_spl
| sQ465_spl ),
inference(split_clause,[status(thm)],[f4188,f4204,f581]) ).
fof(f4208,definition,
! [X0,X1] :
( sQ466_spl
<=> ( segmentP(app(app(nil,skaf56(X1)),X0),skaf56(X1))
| ~ ssList(app(skaf56(X1),X0))
| ~ ssList(skaf56(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ466_spl])],[split_symbol_definition]) ).
fof(f4211,plain,
( ~ sQ14_spl
| sQ466_spl ),
inference(split_clause,[status(thm)],[f4189,f4208,f581]) ).
fof(f4212,definition,
! [X0,X1,X2] :
( sQ467_spl
<=> ( segmentP(app(skaf56(X0),X2),X1)
| ~ ssList(skaf56(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf56(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ467_spl])],[split_symbol_definition]) ).
fof(f4215,plain,
( ~ sQ14_spl
| sQ467_spl ),
inference(split_clause,[status(thm)],[f4190,f4212,f581]) ).
fof(f4216,definition,
! [X0,X1] :
( sQ468_spl
<=> ( rearsegP(skaf56(X0),X1)
| ~ ssList(skaf56(X0))
| ~ ssList(X1)
| ~ rearsegP(skaf56(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ468_spl])],[split_symbol_definition]) ).
fof(f4219,plain,
( ~ sQ14_spl
| sQ468_spl ),
inference(split_clause,[status(thm)],[f4191,f4216,f581]) ).
fof(f4229,plain,
! [X0] :
( app(nil,skaf57(X0)) = skaf57(X0)
| ~ rearsegP(skaf57(X0),skaf57(X0))
| ~ ssList(skaf57(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1217,f3457]) ).
fof(f4230,plain,
! [X0] :
( rearsegP(skaf57(X0),skaf57(X0))
| ~ ssList(skaf57(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1217,f3326]) ).
fof(f4231,plain,
! [X0,X1,X2] :
( app(app(nil,skaf57(X0)),X2) = X1
| ~ ssList(app(skaf57(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf57(X0)),X2))
| ~ ssList(skaf57(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf57(X0),X1) ),
inference(paramodulation,[status(thm)],[f1217,f742]) ).
fof(f4232,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf57(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf57(X0)),X2))
| ~ ssList(skaf57(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf57(X0),X1) ),
inference(paramodulation,[status(thm)],[f1217,f741]) ).
fof(f4233,plain,
! [X0,X1] :
( segmentP(app(app(nil,skaf57(X1)),X0),skaf57(X1))
| ~ ssList(app(skaf57(X1),X0))
| ~ ssList(skaf57(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1217,f501]) ).
fof(f4234,plain,
! [X0,X1,X2] :
( segmentP(app(skaf57(X0),X2),X1)
| ~ ssList(skaf57(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf57(X0),X1) ),
inference(paramodulation,[status(thm)],[f1217,f404]) ).
fof(f4235,plain,
! [X0,X1] :
( rearsegP(skaf57(X0),X1)
| ~ ssList(skaf57(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(skaf57(X0),X1) ),
inference(paramodulation,[status(thm)],[f1217,f350]) ).
fof(f4236,definition,
! [X0] :
( sQ469_spl
<=> ( app(nil,skaf57(X0)) = skaf57(X0)
| ~ rearsegP(skaf57(X0),skaf57(X0))
| ~ ssList(skaf57(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ469_spl])],[split_symbol_definition]) ).
fof(f4239,plain,
( sQ469_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f4229,f581,f4236]) ).
fof(f4240,definition,
! [X0] :
( sQ470_spl
<=> ( rearsegP(skaf57(X0),skaf57(X0))
| ~ ssList(skaf57(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ470_spl])],[split_symbol_definition]) ).
fof(f4243,plain,
( sQ470_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f4230,f581,f4240]) ).
fof(f4244,definition,
! [X0,X1,X2] :
( sQ471_spl
<=> ( app(app(nil,skaf57(X0)),X2) = X1
| ~ ssList(app(skaf57(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf57(X0)),X2))
| ~ ssList(skaf57(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf57(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ471_spl])],[split_symbol_definition]) ).
fof(f4247,plain,
( ~ sQ14_spl
| sQ471_spl ),
inference(split_clause,[status(thm)],[f4231,f4244,f581]) ).
fof(f4248,definition,
! [X0,X1,X2,X3] :
( sQ472_spl
<=> ( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf57(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf57(X0)),X2))
| ~ ssList(skaf57(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf57(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ472_spl])],[split_symbol_definition]) ).
fof(f4251,plain,
( ~ sQ14_spl
| sQ472_spl ),
inference(split_clause,[status(thm)],[f4232,f4248,f581]) ).
fof(f4252,definition,
! [X0,X1] :
( sQ473_spl
<=> ( segmentP(app(app(nil,skaf57(X1)),X0),skaf57(X1))
| ~ ssList(app(skaf57(X1),X0))
| ~ ssList(skaf57(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ473_spl])],[split_symbol_definition]) ).
fof(f4255,plain,
( ~ sQ14_spl
| sQ473_spl ),
inference(split_clause,[status(thm)],[f4233,f4252,f581]) ).
fof(f4256,definition,
! [X0,X1,X2] :
( sQ474_spl
<=> ( segmentP(app(skaf57(X0),X2),X1)
| ~ ssList(skaf57(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf57(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ474_spl])],[split_symbol_definition]) ).
fof(f4259,plain,
( ~ sQ14_spl
| sQ474_spl ),
inference(split_clause,[status(thm)],[f4234,f4256,f581]) ).
fof(f4260,definition,
! [X0,X1] :
( sQ475_spl
<=> ( rearsegP(skaf57(X0),X1)
| ~ ssList(skaf57(X0))
| ~ ssList(X1)
| ~ rearsegP(skaf57(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ475_spl])],[split_symbol_definition]) ).
fof(f4263,plain,
( ~ sQ14_spl
| sQ475_spl ),
inference(split_clause,[status(thm)],[f4235,f4260,f581]) ).
fof(f4273,plain,
! [X0] :
( app(nil,skaf58(X0)) = skaf58(X0)
| ~ rearsegP(skaf58(X0),skaf58(X0))
| ~ ssList(skaf58(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1218,f3457]) ).
fof(f4274,plain,
! [X0] :
( rearsegP(skaf58(X0),skaf58(X0))
| ~ ssList(skaf58(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1218,f3326]) ).
fof(f4275,plain,
! [X0,X1,X2] :
( app(app(nil,skaf58(X0)),X2) = X1
| ~ ssList(app(skaf58(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf58(X0)),X2))
| ~ ssList(skaf58(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf58(X0),X1) ),
inference(paramodulation,[status(thm)],[f1218,f742]) ).
fof(f4276,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf58(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf58(X0)),X2))
| ~ ssList(skaf58(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf58(X0),X1) ),
inference(paramodulation,[status(thm)],[f1218,f741]) ).
fof(f4277,plain,
! [X0,X1] :
( segmentP(app(app(nil,skaf58(X1)),X0),skaf58(X1))
| ~ ssList(app(skaf58(X1),X0))
| ~ ssList(skaf58(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1218,f501]) ).
fof(f4278,plain,
! [X0,X1,X2] :
( segmentP(app(skaf58(X0),X2),X1)
| ~ ssList(skaf58(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf58(X0),X1) ),
inference(paramodulation,[status(thm)],[f1218,f404]) ).
fof(f4279,plain,
! [X0,X1] :
( rearsegP(skaf58(X0),X1)
| ~ ssList(skaf58(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(skaf58(X0),X1) ),
inference(paramodulation,[status(thm)],[f1218,f350]) ).
fof(f4280,definition,
! [X0] :
( sQ476_spl
<=> ( app(nil,skaf58(X0)) = skaf58(X0)
| ~ rearsegP(skaf58(X0),skaf58(X0))
| ~ ssList(skaf58(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ476_spl])],[split_symbol_definition]) ).
fof(f4283,plain,
( sQ476_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f4273,f581,f4280]) ).
fof(f4284,definition,
! [X0] :
( sQ477_spl
<=> ( rearsegP(skaf58(X0),skaf58(X0))
| ~ ssList(skaf58(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ477_spl])],[split_symbol_definition]) ).
fof(f4287,plain,
( sQ477_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f4274,f581,f4284]) ).
fof(f4288,definition,
! [X0,X1,X2] :
( sQ478_spl
<=> ( app(app(nil,skaf58(X0)),X2) = X1
| ~ ssList(app(skaf58(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf58(X0)),X2))
| ~ ssList(skaf58(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf58(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ478_spl])],[split_symbol_definition]) ).
fof(f4291,plain,
( ~ sQ14_spl
| sQ478_spl ),
inference(split_clause,[status(thm)],[f4275,f4288,f581]) ).
fof(f4292,definition,
! [X0,X1,X2,X3] :
( sQ479_spl
<=> ( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf58(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf58(X0)),X2))
| ~ ssList(skaf58(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf58(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ479_spl])],[split_symbol_definition]) ).
fof(f4295,plain,
( ~ sQ14_spl
| sQ479_spl ),
inference(split_clause,[status(thm)],[f4276,f4292,f581]) ).
fof(f4296,definition,
! [X0,X1] :
( sQ480_spl
<=> ( segmentP(app(app(nil,skaf58(X1)),X0),skaf58(X1))
| ~ ssList(app(skaf58(X1),X0))
| ~ ssList(skaf58(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ480_spl])],[split_symbol_definition]) ).
fof(f4299,plain,
( ~ sQ14_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f4277,f4296,f581]) ).
fof(f4300,definition,
! [X0,X1,X2] :
( sQ481_spl
<=> ( segmentP(app(skaf58(X0),X2),X1)
| ~ ssList(skaf58(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf58(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ481_spl])],[split_symbol_definition]) ).
fof(f4303,plain,
( ~ sQ14_spl
| sQ481_spl ),
inference(split_clause,[status(thm)],[f4278,f4300,f581]) ).
fof(f4304,definition,
! [X0,X1] :
( sQ482_spl
<=> ( rearsegP(skaf58(X0),X1)
| ~ ssList(skaf58(X0))
| ~ ssList(X1)
| ~ rearsegP(skaf58(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ482_spl])],[split_symbol_definition]) ).
fof(f4307,plain,
( ~ sQ14_spl
| sQ482_spl ),
inference(split_clause,[status(thm)],[f4279,f4304,f581]) ).
fof(f4317,plain,
! [X0] :
( app(nil,skaf61(X0)) = skaf61(X0)
| ~ rearsegP(skaf61(X0),skaf61(X0))
| ~ ssList(skaf61(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1219,f3457]) ).
fof(f4318,plain,
! [X0] :
( rearsegP(skaf61(X0),skaf61(X0))
| ~ ssList(skaf61(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1219,f3326]) ).
fof(f4319,plain,
! [X0,X1,X2] :
( app(app(nil,skaf61(X0)),X2) = X1
| ~ ssList(app(skaf61(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf61(X0)),X2))
| ~ ssList(skaf61(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf61(X0),X1) ),
inference(paramodulation,[status(thm)],[f1219,f742]) ).
fof(f4320,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf61(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf61(X0)),X2))
| ~ ssList(skaf61(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf61(X0),X1) ),
inference(paramodulation,[status(thm)],[f1219,f741]) ).
fof(f4321,plain,
! [X0,X1] :
( segmentP(app(app(nil,skaf61(X1)),X0),skaf61(X1))
| ~ ssList(app(skaf61(X1),X0))
| ~ ssList(skaf61(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1219,f501]) ).
fof(f4322,plain,
! [X0,X1,X2] :
( segmentP(app(skaf61(X0),X2),X1)
| ~ ssList(skaf61(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf61(X0),X1) ),
inference(paramodulation,[status(thm)],[f1219,f404]) ).
fof(f4323,plain,
! [X0,X1] :
( rearsegP(skaf61(X0),X1)
| ~ ssList(skaf61(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(skaf61(X0),X1) ),
inference(paramodulation,[status(thm)],[f1219,f350]) ).
fof(f4324,definition,
! [X0] :
( sQ483_spl
<=> ( app(nil,skaf61(X0)) = skaf61(X0)
| ~ rearsegP(skaf61(X0),skaf61(X0))
| ~ ssList(skaf61(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ483_spl])],[split_symbol_definition]) ).
fof(f4327,plain,
( sQ483_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f4317,f581,f4324]) ).
fof(f4328,definition,
! [X0] :
( sQ484_spl
<=> ( rearsegP(skaf61(X0),skaf61(X0))
| ~ ssList(skaf61(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ484_spl])],[split_symbol_definition]) ).
fof(f4331,plain,
( sQ484_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f4318,f581,f4328]) ).
fof(f4332,definition,
! [X0,X1,X2] :
( sQ485_spl
<=> ( app(app(nil,skaf61(X0)),X2) = X1
| ~ ssList(app(skaf61(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf61(X0)),X2))
| ~ ssList(skaf61(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf61(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ485_spl])],[split_symbol_definition]) ).
fof(f4335,plain,
( ~ sQ14_spl
| sQ485_spl ),
inference(split_clause,[status(thm)],[f4319,f4332,f581]) ).
fof(f4336,definition,
! [X0,X1,X2,X3] :
( sQ486_spl
<=> ( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf61(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf61(X0)),X2))
| ~ ssList(skaf61(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf61(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ486_spl])],[split_symbol_definition]) ).
fof(f4339,plain,
( ~ sQ14_spl
| sQ486_spl ),
inference(split_clause,[status(thm)],[f4320,f4336,f581]) ).
fof(f4340,definition,
! [X0,X1] :
( sQ487_spl
<=> ( segmentP(app(app(nil,skaf61(X1)),X0),skaf61(X1))
| ~ ssList(app(skaf61(X1),X0))
| ~ ssList(skaf61(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ487_spl])],[split_symbol_definition]) ).
fof(f4343,plain,
( ~ sQ14_spl
| sQ487_spl ),
inference(split_clause,[status(thm)],[f4321,f4340,f581]) ).
fof(f4344,definition,
! [X0,X1,X2] :
( sQ488_spl
<=> ( segmentP(app(skaf61(X0),X2),X1)
| ~ ssList(skaf61(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf61(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ488_spl])],[split_symbol_definition]) ).
fof(f4347,plain,
( ~ sQ14_spl
| sQ488_spl ),
inference(split_clause,[status(thm)],[f4322,f4344,f581]) ).
fof(f4348,definition,
! [X0,X1] :
( sQ489_spl
<=> ( rearsegP(skaf61(X0),X1)
| ~ ssList(skaf61(X0))
| ~ ssList(X1)
| ~ rearsegP(skaf61(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ489_spl])],[split_symbol_definition]) ).
fof(f4351,plain,
( ~ sQ14_spl
| sQ489_spl ),
inference(split_clause,[status(thm)],[f4323,f4348,f581]) ).
fof(f4361,plain,
! [X0] :
( app(nil,skaf62(X0)) = skaf62(X0)
| ~ rearsegP(skaf62(X0),skaf62(X0))
| ~ ssList(skaf62(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1220,f3457]) ).
fof(f4362,plain,
! [X0] :
( rearsegP(skaf62(X0),skaf62(X0))
| ~ ssList(skaf62(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1220,f3326]) ).
fof(f4363,plain,
! [X0,X1,X2] :
( app(app(nil,skaf62(X0)),X2) = X1
| ~ ssList(app(skaf62(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf62(X0)),X2))
| ~ ssList(skaf62(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf62(X0),X1) ),
inference(paramodulation,[status(thm)],[f1220,f742]) ).
fof(f4364,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf62(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf62(X0)),X2))
| ~ ssList(skaf62(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf62(X0),X1) ),
inference(paramodulation,[status(thm)],[f1220,f741]) ).
fof(f4365,plain,
! [X0,X1] :
( segmentP(app(app(nil,skaf62(X1)),X0),skaf62(X1))
| ~ ssList(app(skaf62(X1),X0))
| ~ ssList(skaf62(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1220,f501]) ).
fof(f4366,plain,
! [X0,X1,X2] :
( segmentP(app(skaf62(X0),X2),X1)
| ~ ssList(skaf62(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf62(X0),X1) ),
inference(paramodulation,[status(thm)],[f1220,f404]) ).
fof(f4367,plain,
! [X0,X1] :
( rearsegP(skaf62(X0),X1)
| ~ ssList(skaf62(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(skaf62(X0),X1) ),
inference(paramodulation,[status(thm)],[f1220,f350]) ).
fof(f4368,definition,
! [X0] :
( sQ490_spl
<=> ( app(nil,skaf62(X0)) = skaf62(X0)
| ~ rearsegP(skaf62(X0),skaf62(X0))
| ~ ssList(skaf62(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ490_spl])],[split_symbol_definition]) ).
fof(f4371,plain,
( sQ490_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f4361,f581,f4368]) ).
fof(f4372,definition,
! [X0] :
( sQ491_spl
<=> ( rearsegP(skaf62(X0),skaf62(X0))
| ~ ssList(skaf62(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ491_spl])],[split_symbol_definition]) ).
fof(f4375,plain,
( sQ491_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f4362,f581,f4372]) ).
fof(f4376,definition,
! [X0,X1,X2] :
( sQ492_spl
<=> ( app(app(nil,skaf62(X0)),X2) = X1
| ~ ssList(app(skaf62(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf62(X0)),X2))
| ~ ssList(skaf62(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf62(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ492_spl])],[split_symbol_definition]) ).
fof(f4379,plain,
( ~ sQ14_spl
| sQ492_spl ),
inference(split_clause,[status(thm)],[f4363,f4376,f581]) ).
fof(f4380,definition,
! [X0,X1,X2,X3] :
( sQ493_spl
<=> ( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf62(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf62(X0)),X2))
| ~ ssList(skaf62(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf62(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ493_spl])],[split_symbol_definition]) ).
fof(f4383,plain,
( ~ sQ14_spl
| sQ493_spl ),
inference(split_clause,[status(thm)],[f4364,f4380,f581]) ).
fof(f4384,definition,
! [X0,X1] :
( sQ494_spl
<=> ( segmentP(app(app(nil,skaf62(X1)),X0),skaf62(X1))
| ~ ssList(app(skaf62(X1),X0))
| ~ ssList(skaf62(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ494_spl])],[split_symbol_definition]) ).
fof(f4387,plain,
( ~ sQ14_spl
| sQ494_spl ),
inference(split_clause,[status(thm)],[f4365,f4384,f581]) ).
fof(f4388,definition,
! [X0,X1,X2] :
( sQ495_spl
<=> ( segmentP(app(skaf62(X0),X2),X1)
| ~ ssList(skaf62(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf62(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ495_spl])],[split_symbol_definition]) ).
fof(f4391,plain,
( ~ sQ14_spl
| sQ495_spl ),
inference(split_clause,[status(thm)],[f4366,f4388,f581]) ).
fof(f4392,definition,
! [X0,X1] :
( sQ496_spl
<=> ( rearsegP(skaf62(X0),X1)
| ~ ssList(skaf62(X0))
| ~ ssList(X1)
| ~ rearsegP(skaf62(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ496_spl])],[split_symbol_definition]) ).
fof(f4395,plain,
( ~ sQ14_spl
| sQ496_spl ),
inference(split_clause,[status(thm)],[f4367,f4392,f581]) ).
fof(f4405,plain,
! [X0] :
( app(nil,skaf63(X0)) = skaf63(X0)
| ~ rearsegP(skaf63(X0),skaf63(X0))
| ~ ssList(skaf63(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1222,f3457]) ).
fof(f4406,plain,
! [X0] :
( rearsegP(skaf63(X0),skaf63(X0))
| ~ ssList(skaf63(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1222,f3326]) ).
fof(f4407,plain,
! [X0,X1,X2] :
( app(app(nil,skaf63(X0)),X2) = X1
| ~ ssList(app(skaf63(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf63(X0)),X2))
| ~ ssList(skaf63(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf63(X0),X1) ),
inference(paramodulation,[status(thm)],[f1222,f742]) ).
fof(f4408,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf63(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf63(X0)),X2))
| ~ ssList(skaf63(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf63(X0),X1) ),
inference(paramodulation,[status(thm)],[f1222,f741]) ).
fof(f4409,plain,
! [X0,X1] :
( segmentP(app(app(nil,skaf63(X1)),X0),skaf63(X1))
| ~ ssList(app(skaf63(X1),X0))
| ~ ssList(skaf63(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1222,f501]) ).
fof(f4410,plain,
! [X0,X1,X2] :
( segmentP(app(skaf63(X0),X2),X1)
| ~ ssList(skaf63(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf63(X0),X1) ),
inference(paramodulation,[status(thm)],[f1222,f404]) ).
fof(f4411,plain,
! [X0,X1] :
( rearsegP(skaf63(X0),X1)
| ~ ssList(skaf63(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(skaf63(X0),X1) ),
inference(paramodulation,[status(thm)],[f1222,f350]) ).
fof(f4412,definition,
! [X0] :
( sQ497_spl
<=> ( app(nil,skaf63(X0)) = skaf63(X0)
| ~ rearsegP(skaf63(X0),skaf63(X0))
| ~ ssList(skaf63(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ497_spl])],[split_symbol_definition]) ).
fof(f4415,plain,
( sQ497_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f4405,f581,f4412]) ).
fof(f4416,definition,
! [X0] :
( sQ498_spl
<=> ( rearsegP(skaf63(X0),skaf63(X0))
| ~ ssList(skaf63(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ498_spl])],[split_symbol_definition]) ).
fof(f4419,plain,
( sQ498_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f4406,f581,f4416]) ).
fof(f4420,definition,
! [X0,X1,X2] :
( sQ499_spl
<=> ( app(app(nil,skaf63(X0)),X2) = X1
| ~ ssList(app(skaf63(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf63(X0)),X2))
| ~ ssList(skaf63(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf63(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ499_spl])],[split_symbol_definition]) ).
fof(f4423,plain,
( ~ sQ14_spl
| sQ499_spl ),
inference(split_clause,[status(thm)],[f4407,f4420,f581]) ).
fof(f4424,definition,
! [X0,X1,X2,X3] :
( sQ500_spl
<=> ( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf63(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf63(X0)),X2))
| ~ ssList(skaf63(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf63(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ500_spl])],[split_symbol_definition]) ).
fof(f4427,plain,
( ~ sQ14_spl
| sQ500_spl ),
inference(split_clause,[status(thm)],[f4408,f4424,f581]) ).
fof(f4428,definition,
! [X0,X1] :
( sQ501_spl
<=> ( segmentP(app(app(nil,skaf63(X1)),X0),skaf63(X1))
| ~ ssList(app(skaf63(X1),X0))
| ~ ssList(skaf63(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ501_spl])],[split_symbol_definition]) ).
fof(f4431,plain,
( ~ sQ14_spl
| sQ501_spl ),
inference(split_clause,[status(thm)],[f4409,f4428,f581]) ).
fof(f4432,definition,
! [X0,X1,X2] :
( sQ502_spl
<=> ( segmentP(app(skaf63(X0),X2),X1)
| ~ ssList(skaf63(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf63(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ502_spl])],[split_symbol_definition]) ).
fof(f4435,plain,
( ~ sQ14_spl
| sQ502_spl ),
inference(split_clause,[status(thm)],[f4410,f4432,f581]) ).
fof(f4436,definition,
! [X0,X1] :
( sQ503_spl
<=> ( rearsegP(skaf63(X0),X1)
| ~ ssList(skaf63(X0))
| ~ ssList(X1)
| ~ rearsegP(skaf63(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ503_spl])],[split_symbol_definition]) ).
fof(f4439,plain,
( ~ sQ14_spl
| sQ503_spl ),
inference(split_clause,[status(thm)],[f4411,f4436,f581]) ).
fof(f4448,plain,
! [X0,X1,X2] :
( app(app(sk3,X0),X1) = X2
| ~ segmentP(X2,app(app(sk3,X0),X1))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ segmentP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3361,f742]) ).
fof(f4449,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X2)
| ~ ssList(X3)
| ~ segmentP(X3,app(app(sk3,X0),X1))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ segmentP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3361,f741]) ).
fof(f4450,plain,
! [X0,X1] :
( segmentP(app(app(sk3,X0),X1),X0)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3361,f501]) ).
fof(f4455,definition,
! [X0,X1,X2] :
( sQ504_spl
<=> ( app(app(sk3,X0),X1) = X2
| ~ segmentP(X2,app(app(sk3,X0),X1))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ504_spl])],[split_symbol_definition]) ).
fof(f4458,plain,
( ~ sQ12_spl
| sQ504_spl ),
inference(split_clause,[status(thm)],[f4448,f4455,f572]) ).
fof(f4459,definition,
! [X0,X1,X2,X3] :
( sQ505_spl
<=> ( segmentP(X3,X2)
| ~ ssList(X3)
| ~ segmentP(X3,app(app(sk3,X0),X1))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ505_spl])],[split_symbol_definition]) ).
fof(f4462,plain,
( ~ sQ12_spl
| sQ505_spl ),
inference(split_clause,[status(thm)],[f4449,f4459,f572]) ).
fof(f4463,definition,
! [X0,X1] :
( sQ506_spl
<=> ( segmentP(app(app(sk3,X0),X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ506_spl])],[split_symbol_definition]) ).
fof(f4466,plain,
( ~ sQ12_spl
| sQ506_spl ),
inference(split_clause,[status(thm)],[f4450,f4463,f572]) ).
fof(f4467,definition,
! [X0] :
( sQ507_spl
<=> ( ssList(app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ507_spl])],[split_symbol_definition]) ).
fof(f4474,plain,
! [X0,X1,X2] :
( app(app(sk4,X0),X1) = X2
| ~ segmentP(X2,app(app(sk4,X0),X1))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ segmentP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3366,f742]) ).
fof(f4475,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X2)
| ~ ssList(X3)
| ~ segmentP(X3,app(app(sk4,X0),X1))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ segmentP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3366,f741]) ).
fof(f4476,plain,
! [X0,X1] :
( segmentP(app(app(sk4,X0),X1),X0)
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3366,f501]) ).
fof(f4481,definition,
! [X0,X1,X2] :
( sQ508_spl
<=> ( app(app(sk4,X0),X1) = X2
| ~ segmentP(X2,app(app(sk4,X0),X1))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ508_spl])],[split_symbol_definition]) ).
fof(f4484,plain,
( ~ sQ10_spl
| sQ508_spl ),
inference(split_clause,[status(thm)],[f4474,f4481,f554]) ).
fof(f4485,definition,
! [X0,X1,X2,X3] :
( sQ509_spl
<=> ( segmentP(X3,X2)
| ~ ssList(X3)
| ~ segmentP(X3,app(app(sk4,X0),X1))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ509_spl])],[split_symbol_definition]) ).
fof(f4488,plain,
( ~ sQ10_spl
| sQ509_spl ),
inference(split_clause,[status(thm)],[f4475,f4485,f554]) ).
fof(f4489,definition,
! [X0,X1] :
( sQ510_spl
<=> ( segmentP(app(app(sk4,X0),X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ510_spl])],[split_symbol_definition]) ).
fof(f4492,plain,
( ~ sQ10_spl
| sQ510_spl ),
inference(split_clause,[status(thm)],[f4476,f4489,f554]) ).
fof(f4493,definition,
! [X0] :
( sQ511_spl
<=> ( ssList(app(sk4,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ511_spl])],[split_symbol_definition]) ).
fof(f4501,plain,
! [X0] :
( ~ sQ84_spl
| ~ ssList(nil)
| segmentP(app(sk4,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1165,f255]) ).
fof(f4503,definition,
! [X0] :
( sQ512_spl
<=> ( segmentP(app(sk4,X0),nil)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ512_spl])],[split_symbol_definition]) ).
fof(f4504,plain,
! [X0] :
( ~ sQ512_spl
| segmentP(app(sk4,X0),nil)
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f4503]) ).
fof(f4507,plain,
( ~ sQ84_spl
| ~ sQ14_spl
| sQ512_spl ),
inference(split_clause,[status(thm)],[f4501,f4503,f581,f1164]) ).
fof(f4509,plain,
! [X0,X1] :
( ~ sQ512_spl
| segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(app(sk4,X0))
| ~ ssList(nil)
| ~ segmentP(X1,app(sk4,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f4504,f374]) ).
fof(f4510,plain,
! [X0] :
( ~ sQ512_spl
| app(sk4,X0) = nil
| ~ ssList(app(sk4,X0))
| ~ ssList(nil)
| ~ segmentP(nil,app(sk4,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f4504,f339]) ).
fof(f4512,definition,
! [X0,X1] :
( sQ513_spl
<=> ( segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(app(sk4,X0))
| ~ segmentP(X1,app(sk4,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ513_spl])],[split_symbol_definition]) ).
fof(f4515,plain,
( ~ sQ512_spl
| ~ sQ14_spl
| sQ513_spl ),
inference(split_clause,[status(thm)],[f4509,f4512,f581,f4503]) ).
fof(f4516,definition,
! [X0] :
( sQ514_spl
<=> ( app(sk4,X0) = nil
| ~ ssList(app(sk4,X0))
| ~ segmentP(nil,app(sk4,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ514_spl])],[split_symbol_definition]) ).
fof(f4519,plain,
( ~ sQ512_spl
| ~ sQ14_spl
| sQ514_spl ),
inference(split_clause,[status(thm)],[f4510,f4516,f581,f4503]) ).
fof(f4522,plain,
! [X0] :
( ~ sQ177_spl
| ~ ssList(nil)
| rearsegP(skaf61(X0),nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f2170,f257]) ).
fof(f4523,plain,
! [X0,X1,X2] :
( ~ sQ177_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf61(X1),X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2170,f376]) ).
fof(f4525,definition,
! [X0] :
( sQ515_spl
<=> rearsegP(skaf61(X0),nil) ),
introduced(definition,[new_symbols(definition,[sQ515_spl])],[split_symbol_definition]) ).
fof(f4526,plain,
! [X0] :
( ~ sQ515_spl
| rearsegP(skaf61(X0),nil) ),
inference(component_clause,[status(thm)],[f4525]) ).
fof(f4529,plain,
( ~ sQ177_spl
| sQ515_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f4522,f581,f4525,f2153]) ).
fof(f4530,definition,
! [X0,X1,X2] :
( sQ516_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf61(X1),X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ516_spl])],[split_symbol_definition]) ).
fof(f4533,plain,
( ~ sQ177_spl
| ~ sQ14_spl
| sQ516_spl ),
inference(split_clause,[status(thm)],[f4523,f4530,f581,f2153]) ).
fof(f4536,plain,
! [X0,X1] :
( ~ sQ515_spl
| app(X0,skaf61(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf61(X1)))
| ~ ssList(skaf61(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f4526,f3325]) ).
fof(f4537,plain,
! [X0,X1,X2] :
( ~ sQ515_spl
| ~ ssList(skaf61(X2))
| ~ rearsegP(X1,skaf61(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f4526,f852]) ).
fof(f4538,plain,
! [X0] :
( ~ sQ515_spl
| ~ ssList(nil)
| ~ rearsegP(nil,skaf61(X0))
| nil = skaf61(X0)
| ~ ssList(nil)
| ~ ssList(skaf61(X0))
| ~ ssList(skaf61(X0))
| ~ rearsegP(nil,skaf61(X0)) ),
inference(resolution,[status(thm)],[f4526,f852]) ).
fof(f4539,plain,
! [X0,X1,X2] :
( ~ sQ515_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf61(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf61(X1)) ),
inference(resolution,[status(thm)],[f4526,f852]) ).
fof(f4541,plain,
! [X0,X1,X2] :
( ~ sQ515_spl
| ~ ssList(X2)
| ~ rearsegP(X2,skaf61(X1))
| ~ rearsegP(X0,X2)
| nil = skaf61(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf61(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f4526,f852]) ).
fof(f4542,plain,
! [X0,X1] :
( ~ sQ515_spl
| nil = skaf61(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf61(X1))
| ~ rearsegP(X0,skaf61(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f4526,f727]) ).
fof(f4543,plain,
! [X0,X1] :
( ~ sQ515_spl
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf61(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf61(X1)) ),
inference(resolution,[status(thm)],[f4526,f727]) ).
fof(f4544,plain,
! [X0] :
( ~ sQ515_spl
| skaf61(X0) = nil
| ~ ssList(skaf61(X0))
| ~ ssList(nil)
| ~ rearsegP(nil,skaf61(X0)) ),
inference(resolution,[status(thm)],[f4526,f340]) ).
fof(f4545,definition,
! [X0,X1] :
( sQ517_spl
<=> ( app(X0,skaf61(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf61(X1)))
| ~ ssList(skaf61(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ517_spl])],[split_symbol_definition]) ).
fof(f4548,plain,
( ~ sQ515_spl
| ~ sQ14_spl
| sQ517_spl ),
inference(split_clause,[status(thm)],[f4536,f4545,f581,f4525]) ).
fof(f4549,definition,
! [X0,X1,X2] :
( sQ518_spl
<=> ( ~ ssList(skaf61(X2))
| ~ rearsegP(X1,skaf61(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ518_spl])],[split_symbol_definition]) ).
fof(f4552,plain,
( ~ sQ515_spl
| ~ sQ14_spl
| sQ518_spl ),
inference(split_clause,[status(thm)],[f4537,f4549,f581,f4525]) ).
fof(f4553,definition,
! [X0] :
( sQ519_spl
<=> ( ~ rearsegP(nil,skaf61(X0))
| nil = skaf61(X0)
| ~ ssList(skaf61(X0))
| ~ ssList(skaf61(X0))
| ~ rearsegP(nil,skaf61(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ519_spl])],[split_symbol_definition]) ).
fof(f4556,plain,
( ~ sQ515_spl
| ~ sQ14_spl
| sQ519_spl ),
inference(split_clause,[status(thm)],[f4538,f4553,f581,f4525]) ).
fof(f4557,definition,
! [X0,X1,X2] :
( sQ520_spl
<=> ( ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf61(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf61(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ520_spl])],[split_symbol_definition]) ).
fof(f4560,plain,
( ~ sQ515_spl
| ~ sQ14_spl
| sQ520_spl ),
inference(split_clause,[status(thm)],[f4539,f4557,f581,f4525]) ).
fof(f4562,definition,
! [X0,X1,X2] :
( sQ521_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,skaf61(X1))
| ~ rearsegP(X0,X2)
| nil = skaf61(X1)
| ~ ssList(X0)
| ~ ssList(skaf61(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ521_spl])],[split_symbol_definition]) ).
fof(f4565,plain,
( ~ sQ515_spl
| ~ sQ14_spl
| sQ521_spl ),
inference(split_clause,[status(thm)],[f4541,f4562,f581,f4525]) ).
fof(f4566,definition,
! [X0,X1] :
( sQ522_spl
<=> ( nil = skaf61(X1)
| ~ ssList(X0)
| ~ ssList(skaf61(X1))
| ~ rearsegP(X0,skaf61(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ522_spl])],[split_symbol_definition]) ).
fof(f4569,plain,
( ~ sQ515_spl
| ~ sQ14_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f4542,f4566,f581,f4525]) ).
fof(f4570,definition,
! [X0,X1] :
( sQ523_spl
<=> ( X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf61(X1))
| ~ rearsegP(X0,skaf61(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ523_spl])],[split_symbol_definition]) ).
fof(f4573,plain,
( ~ sQ515_spl
| ~ sQ14_spl
| sQ523_spl ),
inference(split_clause,[status(thm)],[f4543,f4570,f581,f4525]) ).
fof(f4574,definition,
! [X0] :
( sQ524_spl
<=> ( skaf61(X0) = nil
| ~ ssList(skaf61(X0))
| ~ rearsegP(nil,skaf61(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ524_spl])],[split_symbol_definition]) ).
fof(f4577,plain,
( ~ sQ515_spl
| ~ sQ14_spl
| sQ524_spl ),
inference(split_clause,[status(thm)],[f4544,f4574,f581,f4525]) ).
fof(f4583,plain,
! [X0] :
( ~ sQ244_spl
| ~ ssList(nil)
| rearsegP(skaf62(X0),nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f2662,f257]) ).
fof(f4584,plain,
! [X0,X1,X2] :
( ~ sQ244_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf62(X1),X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2662,f376]) ).
fof(f4586,definition,
! [X0] :
( sQ525_spl
<=> rearsegP(skaf62(X0),nil) ),
introduced(definition,[new_symbols(definition,[sQ525_spl])],[split_symbol_definition]) ).
fof(f4587,plain,
! [X0] :
( ~ sQ525_spl
| rearsegP(skaf62(X0),nil) ),
inference(component_clause,[status(thm)],[f4586]) ).
fof(f4590,plain,
( ~ sQ244_spl
| sQ525_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f4583,f581,f4586,f2638]) ).
fof(f4591,definition,
! [X0,X1,X2] :
( sQ526_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf62(X1),X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ526_spl])],[split_symbol_definition]) ).
fof(f4594,plain,
( ~ sQ244_spl
| ~ sQ14_spl
| sQ526_spl ),
inference(split_clause,[status(thm)],[f4584,f4591,f581,f2638]) ).
fof(f4597,plain,
! [X0,X1] :
( ~ sQ525_spl
| app(X0,skaf62(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf62(X1)))
| ~ ssList(skaf62(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f4587,f3325]) ).
fof(f4598,plain,
! [X0,X1,X2] :
( ~ sQ525_spl
| ~ ssList(skaf62(X2))
| ~ rearsegP(X1,skaf62(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f4587,f852]) ).
fof(f4599,plain,
! [X0] :
( ~ sQ525_spl
| ~ ssList(nil)
| ~ rearsegP(nil,skaf62(X0))
| nil = skaf62(X0)
| ~ ssList(nil)
| ~ ssList(skaf62(X0))
| ~ ssList(skaf62(X0))
| ~ rearsegP(nil,skaf62(X0)) ),
inference(resolution,[status(thm)],[f4587,f852]) ).
fof(f4600,plain,
! [X0,X1,X2] :
( ~ sQ525_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf62(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf62(X1)) ),
inference(resolution,[status(thm)],[f4587,f852]) ).
fof(f4602,plain,
! [X0,X1,X2] :
( ~ sQ525_spl
| ~ ssList(X2)
| ~ rearsegP(X2,skaf62(X1))
| ~ rearsegP(X0,X2)
| nil = skaf62(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf62(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f4587,f852]) ).
fof(f4603,plain,
! [X0,X1] :
( ~ sQ525_spl
| nil = skaf62(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf62(X1))
| ~ rearsegP(X0,skaf62(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f4587,f727]) ).
fof(f4604,plain,
! [X0,X1] :
( ~ sQ525_spl
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf62(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf62(X1)) ),
inference(resolution,[status(thm)],[f4587,f727]) ).
fof(f4605,plain,
! [X0] :
( ~ sQ525_spl
| skaf62(X0) = nil
| ~ ssList(skaf62(X0))
| ~ ssList(nil)
| ~ rearsegP(nil,skaf62(X0)) ),
inference(resolution,[status(thm)],[f4587,f340]) ).
fof(f4606,definition,
! [X0,X1] :
( sQ527_spl
<=> ( app(X0,skaf62(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf62(X1)))
| ~ ssList(skaf62(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ527_spl])],[split_symbol_definition]) ).
fof(f4609,plain,
( ~ sQ525_spl
| ~ sQ14_spl
| sQ527_spl ),
inference(split_clause,[status(thm)],[f4597,f4606,f581,f4586]) ).
fof(f4610,definition,
! [X0,X1,X2] :
( sQ528_spl
<=> ( ~ ssList(skaf62(X2))
| ~ rearsegP(X1,skaf62(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ528_spl])],[split_symbol_definition]) ).
fof(f4613,plain,
( ~ sQ525_spl
| ~ sQ14_spl
| sQ528_spl ),
inference(split_clause,[status(thm)],[f4598,f4610,f581,f4586]) ).
fof(f4614,definition,
! [X0] :
( sQ529_spl
<=> ( ~ rearsegP(nil,skaf62(X0))
| nil = skaf62(X0)
| ~ ssList(skaf62(X0))
| ~ ssList(skaf62(X0))
| ~ rearsegP(nil,skaf62(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ529_spl])],[split_symbol_definition]) ).
fof(f4617,plain,
( ~ sQ525_spl
| ~ sQ14_spl
| sQ529_spl ),
inference(split_clause,[status(thm)],[f4599,f4614,f581,f4586]) ).
fof(f4618,definition,
! [X0,X1,X2] :
( sQ530_spl
<=> ( ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf62(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf62(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ530_spl])],[split_symbol_definition]) ).
fof(f4621,plain,
( ~ sQ525_spl
| ~ sQ14_spl
| sQ530_spl ),
inference(split_clause,[status(thm)],[f4600,f4618,f581,f4586]) ).
fof(f4623,definition,
! [X0,X1,X2] :
( sQ531_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,skaf62(X1))
| ~ rearsegP(X0,X2)
| nil = skaf62(X1)
| ~ ssList(X0)
| ~ ssList(skaf62(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ531_spl])],[split_symbol_definition]) ).
fof(f4626,plain,
( ~ sQ525_spl
| ~ sQ14_spl
| sQ531_spl ),
inference(split_clause,[status(thm)],[f4602,f4623,f581,f4586]) ).
fof(f4627,definition,
! [X0,X1] :
( sQ532_spl
<=> ( nil = skaf62(X1)
| ~ ssList(X0)
| ~ ssList(skaf62(X1))
| ~ rearsegP(X0,skaf62(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ532_spl])],[split_symbol_definition]) ).
fof(f4630,plain,
( ~ sQ525_spl
| ~ sQ14_spl
| sQ532_spl ),
inference(split_clause,[status(thm)],[f4603,f4627,f581,f4586]) ).
fof(f4631,definition,
! [X0,X1] :
( sQ533_spl
<=> ( X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf62(X1))
| ~ rearsegP(X0,skaf62(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ533_spl])],[split_symbol_definition]) ).
fof(f4634,plain,
( ~ sQ525_spl
| ~ sQ14_spl
| sQ533_spl ),
inference(split_clause,[status(thm)],[f4604,f4631,f581,f4586]) ).
fof(f4635,definition,
! [X0] :
( sQ534_spl
<=> ( skaf62(X0) = nil
| ~ ssList(skaf62(X0))
| ~ rearsegP(nil,skaf62(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ534_spl])],[split_symbol_definition]) ).
fof(f4638,plain,
( ~ sQ525_spl
| ~ sQ14_spl
| sQ534_spl ),
inference(split_clause,[status(thm)],[f4605,f4635,f581,f4586]) ).
fof(f4644,plain,
! [X0] :
( ~ sQ253_spl
| ~ ssList(nil)
| rearsegP(skaf63(X0),nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f2728,f257]) ).
fof(f4645,plain,
! [X0,X1,X2] :
( ~ sQ253_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf63(X1),X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2728,f376]) ).
fof(f4647,definition,
! [X0] :
( sQ535_spl
<=> rearsegP(skaf63(X0),nil) ),
introduced(definition,[new_symbols(definition,[sQ535_spl])],[split_symbol_definition]) ).
fof(f4648,plain,
! [X0] :
( ~ sQ535_spl
| rearsegP(skaf63(X0),nil) ),
inference(component_clause,[status(thm)],[f4647]) ).
fof(f4651,plain,
( ~ sQ253_spl
| sQ535_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f4644,f581,f4647,f2704]) ).
fof(f4652,definition,
! [X0,X1,X2] :
( sQ536_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf63(X1),X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ536_spl])],[split_symbol_definition]) ).
fof(f4655,plain,
( ~ sQ253_spl
| ~ sQ14_spl
| sQ536_spl ),
inference(split_clause,[status(thm)],[f4645,f4652,f581,f2704]) ).
fof(f4658,plain,
! [X0,X1] :
( ~ sQ535_spl
| app(X0,skaf63(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf63(X1)))
| ~ ssList(skaf63(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f4648,f3325]) ).
fof(f4659,plain,
! [X0,X1,X2] :
( ~ sQ535_spl
| ~ ssList(skaf63(X2))
| ~ rearsegP(X1,skaf63(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f4648,f852]) ).
fof(f4660,plain,
! [X0] :
( ~ sQ535_spl
| ~ ssList(nil)
| ~ rearsegP(nil,skaf63(X0))
| nil = skaf63(X0)
| ~ ssList(nil)
| ~ ssList(skaf63(X0))
| ~ ssList(skaf63(X0))
| ~ rearsegP(nil,skaf63(X0)) ),
inference(resolution,[status(thm)],[f4648,f852]) ).
fof(f4661,plain,
! [X0,X1,X2] :
( ~ sQ535_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf63(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf63(X1)) ),
inference(resolution,[status(thm)],[f4648,f852]) ).
fof(f4663,plain,
! [X0,X1,X2] :
( ~ sQ535_spl
| ~ ssList(X2)
| ~ rearsegP(X2,skaf63(X1))
| ~ rearsegP(X0,X2)
| nil = skaf63(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf63(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f4648,f852]) ).
fof(f4664,plain,
! [X0,X1] :
( ~ sQ535_spl
| nil = skaf63(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf63(X1))
| ~ rearsegP(X0,skaf63(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f4648,f727]) ).
fof(f4665,plain,
! [X0,X1] :
( ~ sQ535_spl
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf63(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf63(X1)) ),
inference(resolution,[status(thm)],[f4648,f727]) ).
fof(f4666,plain,
! [X0] :
( ~ sQ535_spl
| skaf63(X0) = nil
| ~ ssList(skaf63(X0))
| ~ ssList(nil)
| ~ rearsegP(nil,skaf63(X0)) ),
inference(resolution,[status(thm)],[f4648,f340]) ).
fof(f4667,definition,
! [X0,X1] :
( sQ537_spl
<=> ( app(X0,skaf63(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf63(X1)))
| ~ ssList(skaf63(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ537_spl])],[split_symbol_definition]) ).
fof(f4670,plain,
( ~ sQ535_spl
| ~ sQ14_spl
| sQ537_spl ),
inference(split_clause,[status(thm)],[f4658,f4667,f581,f4647]) ).
fof(f4671,definition,
! [X0,X1,X2] :
( sQ538_spl
<=> ( ~ ssList(skaf63(X2))
| ~ rearsegP(X1,skaf63(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ538_spl])],[split_symbol_definition]) ).
fof(f4674,plain,
( ~ sQ535_spl
| ~ sQ14_spl
| sQ538_spl ),
inference(split_clause,[status(thm)],[f4659,f4671,f581,f4647]) ).
fof(f4675,definition,
! [X0] :
( sQ539_spl
<=> ( ~ rearsegP(nil,skaf63(X0))
| nil = skaf63(X0)
| ~ ssList(skaf63(X0))
| ~ ssList(skaf63(X0))
| ~ rearsegP(nil,skaf63(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ539_spl])],[split_symbol_definition]) ).
fof(f4678,plain,
( ~ sQ535_spl
| ~ sQ14_spl
| sQ539_spl ),
inference(split_clause,[status(thm)],[f4660,f4675,f581,f4647]) ).
fof(f4679,definition,
! [X0,X1,X2] :
( sQ540_spl
<=> ( ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf63(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf63(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ540_spl])],[split_symbol_definition]) ).
fof(f4682,plain,
( ~ sQ535_spl
| ~ sQ14_spl
| sQ540_spl ),
inference(split_clause,[status(thm)],[f4661,f4679,f581,f4647]) ).
fof(f4684,definition,
! [X0,X1,X2] :
( sQ541_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,skaf63(X1))
| ~ rearsegP(X0,X2)
| nil = skaf63(X1)
| ~ ssList(X0)
| ~ ssList(skaf63(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ541_spl])],[split_symbol_definition]) ).
fof(f4687,plain,
( ~ sQ535_spl
| ~ sQ14_spl
| sQ541_spl ),
inference(split_clause,[status(thm)],[f4663,f4684,f581,f4647]) ).
fof(f4688,definition,
! [X0,X1] :
( sQ542_spl
<=> ( nil = skaf63(X1)
| ~ ssList(X0)
| ~ ssList(skaf63(X1))
| ~ rearsegP(X0,skaf63(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ542_spl])],[split_symbol_definition]) ).
fof(f4691,plain,
( ~ sQ535_spl
| ~ sQ14_spl
| sQ542_spl ),
inference(split_clause,[status(thm)],[f4664,f4688,f581,f4647]) ).
fof(f4692,definition,
! [X0,X1] :
( sQ543_spl
<=> ( X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf63(X1))
| ~ rearsegP(X0,skaf63(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ543_spl])],[split_symbol_definition]) ).
fof(f4695,plain,
( ~ sQ535_spl
| ~ sQ14_spl
| sQ543_spl ),
inference(split_clause,[status(thm)],[f4665,f4692,f581,f4647]) ).
fof(f4696,definition,
! [X0] :
( sQ544_spl
<=> ( skaf63(X0) = nil
| ~ ssList(skaf63(X0))
| ~ rearsegP(nil,skaf63(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ544_spl])],[split_symbol_definition]) ).
fof(f4699,plain,
( ~ sQ535_spl
| ~ sQ14_spl
| sQ544_spl ),
inference(split_clause,[status(thm)],[f4666,f4696,f581,f4647]) ).
fof(f4705,plain,
! [X0] :
( ~ sQ262_spl
| ~ ssList(nil)
| rearsegP(skaf66(X0),nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f2794,f257]) ).
fof(f4706,plain,
! [X0,X1,X2] :
( ~ sQ262_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf66(X1),X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2794,f376]) ).
fof(f4708,definition,
! [X0] :
( sQ545_spl
<=> rearsegP(skaf66(X0),nil) ),
introduced(definition,[new_symbols(definition,[sQ545_spl])],[split_symbol_definition]) ).
fof(f4709,plain,
! [X0] :
( ~ sQ545_spl
| rearsegP(skaf66(X0),nil) ),
inference(component_clause,[status(thm)],[f4708]) ).
fof(f4712,plain,
( ~ sQ262_spl
| sQ545_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f4705,f581,f4708,f2770]) ).
fof(f4713,definition,
! [X0,X1,X2] :
( sQ546_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf66(X1),X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ546_spl])],[split_symbol_definition]) ).
fof(f4716,plain,
( ~ sQ262_spl
| ~ sQ14_spl
| sQ546_spl ),
inference(split_clause,[status(thm)],[f4706,f4713,f581,f2770]) ).
fof(f4720,plain,
! [X0,X1,X2] :
( ~ sQ535_spl
| ~ ssList(X2)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(skaf63(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf63(X1)) ),
inference(resolution,[status(thm)],[f861,f4648]) ).
fof(f4722,plain,
! [X0,X1,X2] :
( ~ sQ525_spl
| ~ ssList(X2)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(skaf62(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf62(X1)) ),
inference(resolution,[status(thm)],[f861,f4587]) ).
fof(f4724,plain,
! [X0,X1,X2] :
( ~ sQ515_spl
| ~ ssList(X2)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(skaf61(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf61(X1)) ),
inference(resolution,[status(thm)],[f861,f4526]) ).
fof(f4726,plain,
! [X0,X1,X2] :
( ~ sQ375_spl
| ~ ssList(X2)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(skaf58(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf58(X1)) ),
inference(resolution,[status(thm)],[f861,f3650]) ).
fof(f4728,plain,
! [X0,X1,X2] :
( ~ sQ366_spl
| ~ ssList(X2)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(skaf57(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf57(X1)) ),
inference(resolution,[status(thm)],[f861,f3595]) ).
fof(f4730,plain,
! [X0,X1,X2] :
( ~ sQ357_spl
| ~ ssList(X2)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(skaf56(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf56(X1)) ),
inference(resolution,[status(thm)],[f861,f3540]) ).
fof(f4732,plain,
! [X0,X1,X2] :
( ~ sQ203_spl
| ~ ssList(X2)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(skaf53(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf53(X1)) ),
inference(resolution,[status(thm)],[f861,f2362]) ).
fof(f4734,plain,
! [X0,X1,X2] :
( ~ sQ194_spl
| ~ ssList(X2)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(skaf52(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf52(X1)) ),
inference(resolution,[status(thm)],[f861,f2307]) ).
fof(f4736,plain,
! [X0,X1,X2] :
( ~ sQ185_spl
| ~ ssList(X2)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf51(X1)) ),
inference(resolution,[status(thm)],[f861,f2252]) ).
fof(f4738,plain,
! [X0,X1] :
( ~ sQ15_spl
| ~ ssList(X1)
| ~ rearsegP(X1,X0)
| ~ rearsegP(nil,X1)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ rearsegP(X0,nil) ),
inference(resolution,[status(thm)],[f861,f585]) ).
fof(f4740,plain,
! [X0,X1] :
( ~ sQ65_spl
| ~ ssList(X1)
| ~ rearsegP(X1,X0)
| ~ rearsegP(nil,X1)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ rearsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f861,f1058]) ).
fof(f4742,plain,
! [X0,X1] :
( ~ sQ95_spl
| ~ ssList(X1)
| ~ rearsegP(X1,X0)
| ~ rearsegP(sk3,X1)
| X0 = sk3
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ rearsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f861,f1275]) ).
fof(f4744,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ ssList(X1)
| ~ rearsegP(X1,X0)
| ~ rearsegP(nil,X1)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(nil)
| ~ rearsegP(X0,sk4) ),
inference(resolution,[status(thm)],[f861,f1180]) ).
fof(f4746,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ ssList(X1)
| ~ rearsegP(X1,X0)
| ~ rearsegP(sk4,X1)
| X0 = sk4
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(sk4)
| ~ rearsegP(X0,sk4) ),
inference(resolution,[status(thm)],[f861,f1367]) ).
fof(f4754,plain,
! [X0,X1,X2] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f861,f257]) ).
fof(f4759,plain,
! [X0,X1,X2] :
( ~ sQ535_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X0)
| X0 = skaf63(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf63(X2))
| ~ rearsegP(X1,skaf63(X2))
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f861,f4648]) ).
fof(f4760,plain,
! [X0,X1,X2] :
( ~ sQ525_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X0)
| X0 = skaf62(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf62(X2))
| ~ rearsegP(X1,skaf62(X2))
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f861,f4587]) ).
fof(f4761,plain,
! [X0,X1,X2] :
( ~ sQ515_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X0)
| X0 = skaf61(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf61(X2))
| ~ rearsegP(X1,skaf61(X2))
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f861,f4526]) ).
fof(f4762,plain,
! [X0,X1,X2] :
( ~ sQ375_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X0)
| X0 = skaf58(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf58(X2))
| ~ rearsegP(X1,skaf58(X2))
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f861,f3650]) ).
fof(f4763,plain,
! [X0,X1,X2] :
( ~ sQ366_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X0)
| X0 = skaf57(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf57(X2))
| ~ rearsegP(X1,skaf57(X2))
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f861,f3595]) ).
fof(f4764,plain,
! [X0,X1,X2] :
( ~ sQ357_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X0)
| X0 = skaf56(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf56(X2))
| ~ rearsegP(X1,skaf56(X2))
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f861,f3540]) ).
fof(f4765,plain,
! [X0,X1,X2] :
( ~ sQ203_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X0)
| X0 = skaf53(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf53(X2))
| ~ rearsegP(X1,skaf53(X2))
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f861,f2362]) ).
fof(f4766,plain,
! [X0,X1,X2] :
( ~ sQ194_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X0)
| X0 = skaf52(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf52(X2))
| ~ rearsegP(X1,skaf52(X2))
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f861,f2307]) ).
fof(f4767,plain,
! [X0,X1,X2] :
( ~ sQ185_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X0)
| X0 = skaf51(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf51(X2))
| ~ rearsegP(X1,skaf51(X2))
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f861,f2252]) ).
fof(f4770,plain,
! [X0,X1] :
( ~ sQ65_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X0)
| X0 = sk3
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk3)
| ~ rearsegP(X1,sk3)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f861,f1058]) ).
fof(f4773,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X0)
| X0 = sk4
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk4)
| ~ rearsegP(X1,sk4)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f861,f1180]) ).
fof(f4781,plain,
! [X0,X1,X2] :
( ~ ssList(X2)
| ~ ssList(nil)
| ~ rearsegP(nil,X0)
| X0 = X2
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f861,f257]) ).
fof(f4810,definition,
! [X0,X1,X2] :
( sQ548_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(skaf63(X1))
| ~ rearsegP(X0,skaf63(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ548_spl])],[split_symbol_definition]) ).
fof(f4813,plain,
( ~ sQ535_spl
| ~ sQ14_spl
| sQ548_spl ),
inference(split_clause,[status(thm)],[f4720,f4810,f581,f4647]) ).
fof(f4818,definition,
! [X0,X1,X2] :
( sQ550_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(skaf62(X1))
| ~ rearsegP(X0,skaf62(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ550_spl])],[split_symbol_definition]) ).
fof(f4821,plain,
( ~ sQ525_spl
| ~ sQ14_spl
| sQ550_spl ),
inference(split_clause,[status(thm)],[f4722,f4818,f581,f4586]) ).
fof(f4826,definition,
! [X0,X1,X2] :
( sQ552_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(skaf61(X1))
| ~ rearsegP(X0,skaf61(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ552_spl])],[split_symbol_definition]) ).
fof(f4829,plain,
( ~ sQ515_spl
| ~ sQ14_spl
| sQ552_spl ),
inference(split_clause,[status(thm)],[f4724,f4826,f581,f4525]) ).
fof(f4834,definition,
! [X0,X1,X2] :
( sQ554_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(skaf58(X1))
| ~ rearsegP(X0,skaf58(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ554_spl])],[split_symbol_definition]) ).
fof(f4837,plain,
( ~ sQ375_spl
| ~ sQ14_spl
| sQ554_spl ),
inference(split_clause,[status(thm)],[f4726,f4834,f581,f3649]) ).
fof(f4842,definition,
! [X0,X1,X2] :
( sQ556_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(skaf57(X1))
| ~ rearsegP(X0,skaf57(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ556_spl])],[split_symbol_definition]) ).
fof(f4845,plain,
( ~ sQ366_spl
| ~ sQ14_spl
| sQ556_spl ),
inference(split_clause,[status(thm)],[f4728,f4842,f581,f3594]) ).
fof(f4850,definition,
! [X0,X1,X2] :
( sQ558_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(skaf56(X1))
| ~ rearsegP(X0,skaf56(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ558_spl])],[split_symbol_definition]) ).
fof(f4853,plain,
( ~ sQ357_spl
| ~ sQ14_spl
| sQ558_spl ),
inference(split_clause,[status(thm)],[f4730,f4850,f581,f3539]) ).
fof(f4858,definition,
! [X0,X1,X2] :
( sQ560_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(skaf53(X1))
| ~ rearsegP(X0,skaf53(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ560_spl])],[split_symbol_definition]) ).
fof(f4861,plain,
( ~ sQ203_spl
| ~ sQ14_spl
| sQ560_spl ),
inference(split_clause,[status(thm)],[f4732,f4858,f581,f2361]) ).
fof(f4866,definition,
! [X0,X1,X2] :
( sQ562_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(skaf52(X1))
| ~ rearsegP(X0,skaf52(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ562_spl])],[split_symbol_definition]) ).
fof(f4869,plain,
( ~ sQ194_spl
| ~ sQ14_spl
| sQ562_spl ),
inference(split_clause,[status(thm)],[f4734,f4866,f581,f2306]) ).
fof(f4874,definition,
! [X0,X1,X2] :
( sQ564_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ~ rearsegP(X0,skaf51(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ564_spl])],[split_symbol_definition]) ).
fof(f4877,plain,
( ~ sQ185_spl
| ~ sQ14_spl
| sQ564_spl ),
inference(split_clause,[status(thm)],[f4736,f4874,f581,f2251]) ).
fof(f4879,definition,
! [X0,X1] :
( sQ565_spl
<=> ( ~ ssList(X1)
| ~ rearsegP(X1,X0)
| ~ rearsegP(nil,X1)
| X0 = nil
| ~ ssList(X0)
| ~ rearsegP(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[sQ565_spl])],[split_symbol_definition]) ).
fof(f4882,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| sQ565_spl ),
inference(split_clause,[status(thm)],[f4738,f4879,f581,f584]) ).
fof(f4884,definition,
! [X0,X1] :
( sQ566_spl
<=> ( ~ ssList(X1)
| ~ rearsegP(X1,X0)
| ~ rearsegP(nil,X1)
| X0 = nil
| ~ ssList(X0)
| ~ rearsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ566_spl])],[split_symbol_definition]) ).
fof(f4887,plain,
( ~ sQ65_spl
| ~ sQ12_spl
| ~ sQ14_spl
| sQ566_spl ),
inference(split_clause,[status(thm)],[f4740,f4884,f581,f572,f1046]) ).
fof(f4889,definition,
! [X0,X1] :
( sQ567_spl
<=> ( ~ ssList(X1)
| ~ rearsegP(X1,X0)
| ~ rearsegP(sk3,X1)
| X0 = sk3
| ~ ssList(X0)
| ~ rearsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ567_spl])],[split_symbol_definition]) ).
fof(f4892,plain,
( ~ sQ95_spl
| ~ sQ12_spl
| sQ567_spl ),
inference(split_clause,[status(thm)],[f4742,f4889,f572,f1263]) ).
fof(f4894,definition,
! [X0,X1] :
( sQ568_spl
<=> ( ~ ssList(X1)
| ~ rearsegP(X1,X0)
| ~ rearsegP(nil,X1)
| X0 = nil
| ~ ssList(X0)
| ~ rearsegP(X0,sk4) ) ),
introduced(definition,[new_symbols(definition,[sQ568_spl])],[split_symbol_definition]) ).
fof(f4897,plain,
( ~ sQ85_spl
| ~ sQ10_spl
| ~ sQ14_spl
| sQ568_spl ),
inference(split_clause,[status(thm)],[f4744,f4894,f581,f554,f1168]) ).
fof(f4899,definition,
! [X0,X1] :
( sQ569_spl
<=> ( ~ ssList(X1)
| ~ rearsegP(X1,X0)
| ~ rearsegP(sk4,X1)
| X0 = sk4
| ~ ssList(X0)
| ~ rearsegP(X0,sk4) ) ),
introduced(definition,[new_symbols(definition,[sQ569_spl])],[split_symbol_definition]) ).
fof(f4902,plain,
( ~ sQ110_spl
| ~ sQ10_spl
| sQ569_spl ),
inference(split_clause,[status(thm)],[f4746,f4899,f554,f1355]) ).
fof(f4913,definition,
! [X0,X1,X2] :
( sQ571_spl
<=> ( ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ571_spl])],[split_symbol_definition]) ).
fof(f4916,plain,
( ~ sQ14_spl
| sQ571_spl ),
inference(split_clause,[status(thm)],[f4754,f4913,f581]) ).
fof(f4919,definition,
! [X0,X1,X2] :
( sQ572_spl
<=> ( ~ rearsegP(nil,X0)
| X0 = skaf63(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf63(X2))
| ~ rearsegP(X1,skaf63(X2))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ572_spl])],[split_symbol_definition]) ).
fof(f4922,plain,
( ~ sQ535_spl
| ~ sQ14_spl
| sQ572_spl ),
inference(split_clause,[status(thm)],[f4759,f4919,f581,f4647]) ).
fof(f4923,definition,
! [X0,X1,X2] :
( sQ573_spl
<=> ( ~ rearsegP(nil,X0)
| X0 = skaf62(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf62(X2))
| ~ rearsegP(X1,skaf62(X2))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ573_spl])],[split_symbol_definition]) ).
fof(f4926,plain,
( ~ sQ525_spl
| ~ sQ14_spl
| sQ573_spl ),
inference(split_clause,[status(thm)],[f4760,f4923,f581,f4586]) ).
fof(f4927,definition,
! [X0,X1,X2] :
( sQ574_spl
<=> ( ~ rearsegP(nil,X0)
| X0 = skaf61(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf61(X2))
| ~ rearsegP(X1,skaf61(X2))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ574_spl])],[split_symbol_definition]) ).
fof(f4930,plain,
( ~ sQ515_spl
| ~ sQ14_spl
| sQ574_spl ),
inference(split_clause,[status(thm)],[f4761,f4927,f581,f4525]) ).
fof(f4931,definition,
! [X0,X1,X2] :
( sQ575_spl
<=> ( ~ rearsegP(nil,X0)
| X0 = skaf58(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf58(X2))
| ~ rearsegP(X1,skaf58(X2))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ575_spl])],[split_symbol_definition]) ).
fof(f4934,plain,
( ~ sQ375_spl
| ~ sQ14_spl
| sQ575_spl ),
inference(split_clause,[status(thm)],[f4762,f4931,f581,f3649]) ).
fof(f4935,definition,
! [X0,X1,X2] :
( sQ576_spl
<=> ( ~ rearsegP(nil,X0)
| X0 = skaf57(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf57(X2))
| ~ rearsegP(X1,skaf57(X2))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ576_spl])],[split_symbol_definition]) ).
fof(f4938,plain,
( ~ sQ366_spl
| ~ sQ14_spl
| sQ576_spl ),
inference(split_clause,[status(thm)],[f4763,f4935,f581,f3594]) ).
fof(f4939,definition,
! [X0,X1,X2] :
( sQ577_spl
<=> ( ~ rearsegP(nil,X0)
| X0 = skaf56(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf56(X2))
| ~ rearsegP(X1,skaf56(X2))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ577_spl])],[split_symbol_definition]) ).
fof(f4942,plain,
( ~ sQ357_spl
| ~ sQ14_spl
| sQ577_spl ),
inference(split_clause,[status(thm)],[f4764,f4939,f581,f3539]) ).
fof(f4943,definition,
! [X0,X1,X2] :
( sQ578_spl
<=> ( ~ rearsegP(nil,X0)
| X0 = skaf53(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf53(X2))
| ~ rearsegP(X1,skaf53(X2))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ578_spl])],[split_symbol_definition]) ).
fof(f4946,plain,
( ~ sQ203_spl
| ~ sQ14_spl
| sQ578_spl ),
inference(split_clause,[status(thm)],[f4765,f4943,f581,f2361]) ).
fof(f4947,definition,
! [X0,X1,X2] :
( sQ579_spl
<=> ( ~ rearsegP(nil,X0)
| X0 = skaf52(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf52(X2))
| ~ rearsegP(X1,skaf52(X2))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ579_spl])],[split_symbol_definition]) ).
fof(f4950,plain,
( ~ sQ194_spl
| ~ sQ14_spl
| sQ579_spl ),
inference(split_clause,[status(thm)],[f4766,f4947,f581,f2306]) ).
fof(f4951,definition,
! [X0,X1,X2] :
( sQ580_spl
<=> ( ~ rearsegP(nil,X0)
| X0 = skaf51(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf51(X2))
| ~ rearsegP(X1,skaf51(X2))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ580_spl])],[split_symbol_definition]) ).
fof(f4954,plain,
( ~ sQ185_spl
| ~ sQ14_spl
| sQ580_spl ),
inference(split_clause,[status(thm)],[f4767,f4951,f581,f2251]) ).
fof(f4957,definition,
! [X0,X1] :
( sQ581_spl
<=> ( ~ rearsegP(nil,X0)
| X0 = sk3
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,sk3)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ581_spl])],[split_symbol_definition]) ).
fof(f4960,plain,
( ~ sQ65_spl
| ~ sQ14_spl
| ~ sQ12_spl
| sQ581_spl ),
inference(split_clause,[status(thm)],[f4770,f4957,f572,f581,f1046]) ).
fof(f4963,definition,
! [X0,X1] :
( sQ582_spl
<=> ( ~ rearsegP(nil,X0)
| X0 = sk4
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,sk4)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ582_spl])],[split_symbol_definition]) ).
fof(f4966,plain,
( ~ sQ85_spl
| ~ sQ14_spl
| ~ sQ10_spl
| sQ582_spl ),
inference(split_clause,[status(thm)],[f4773,f4963,f554,f581,f1168]) ).
fof(f4978,definition,
! [X0,X1,X2] :
( sQ584_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(nil,X0)
| X0 = X2
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ584_spl])],[split_symbol_definition]) ).
fof(f4981,plain,
( ~ sQ14_spl
| sQ584_spl ),
inference(split_clause,[status(thm)],[f4781,f4978,f581]) ).
fof(f5017,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ segmentP(X2,app(nil,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1136,f3328]) ).
fof(f5019,plain,
! [X0,X1] :
( ~ sQ73_spl
| ~ ssList(nil)
| segmentP(X1,nil)
| ~ ssList(X1)
| ~ segmentP(X1,app(nil,X0))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f5017,f255]) ).
fof(f5021,definition,
! [X0,X1] :
( sQ585_spl
<=> ( segmentP(X1,nil)
| ~ ssList(X1)
| ~ segmentP(X1,app(nil,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ585_spl])],[split_symbol_definition]) ).
fof(f5025,plain,
( ~ sQ73_spl
| ~ sQ14_spl
| sQ585_spl ),
inference(split_clause,[status(thm)],[f5019,f5021,f581,f1108]) ).
fof(f5028,plain,
! [X0,X1,X2] :
( ~ sQ545_spl
| ~ ssList(skaf66(X2))
| ~ rearsegP(X1,skaf66(X2))
| nil = X1
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f4709,f861]) ).
fof(f5029,plain,
! [X0,X1,X2] :
( ~ sQ545_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X0)
| X0 = skaf66(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf66(X2))
| ~ rearsegP(X1,skaf66(X2))
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f4709,f861]) ).
fof(f5032,plain,
! [X0,X1] :
( ~ sQ545_spl
| app(X0,skaf66(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf66(X1)))
| ~ ssList(skaf66(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f4709,f3325]) ).
fof(f5033,plain,
! [X0,X1,X2] :
( ~ sQ545_spl
| ~ ssList(skaf66(X2))
| ~ rearsegP(X1,skaf66(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f4709,f852]) ).
fof(f5034,plain,
! [X0] :
( ~ sQ545_spl
| ~ ssList(nil)
| ~ rearsegP(nil,skaf66(X0))
| nil = skaf66(X0)
| ~ ssList(nil)
| ~ ssList(skaf66(X0))
| ~ ssList(skaf66(X0))
| ~ rearsegP(nil,skaf66(X0)) ),
inference(resolution,[status(thm)],[f4709,f852]) ).
fof(f5035,plain,
! [X0,X1,X2] :
( ~ sQ545_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf66(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf66(X1)) ),
inference(resolution,[status(thm)],[f4709,f852]) ).
fof(f5037,plain,
! [X0,X1,X2] :
( ~ sQ545_spl
| ~ ssList(X2)
| ~ rearsegP(X2,skaf66(X1))
| ~ rearsegP(X0,X2)
| nil = skaf66(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf66(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f4709,f852]) ).
fof(f5038,plain,
! [X0,X1] :
( ~ sQ545_spl
| nil = skaf66(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf66(X1))
| ~ rearsegP(X0,skaf66(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f4709,f727]) ).
fof(f5039,plain,
! [X0,X1] :
( ~ sQ545_spl
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf66(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf66(X1)) ),
inference(resolution,[status(thm)],[f4709,f727]) ).
fof(f5040,plain,
! [X0] :
( ~ sQ545_spl
| skaf66(X0) = nil
| ~ ssList(skaf66(X0))
| ~ ssList(nil)
| ~ rearsegP(nil,skaf66(X0)) ),
inference(resolution,[status(thm)],[f4709,f340]) ).
fof(f5045,definition,
! [X0,X1,X2] :
( sQ587_spl
<=> ( ~ ssList(skaf66(X2))
| ~ rearsegP(X1,skaf66(X2))
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ587_spl])],[split_symbol_definition]) ).
fof(f5048,plain,
( ~ sQ545_spl
| ~ sQ14_spl
| sQ587_spl ),
inference(split_clause,[status(thm)],[f5028,f5045,f581,f4708]) ).
fof(f5049,definition,
! [X0,X1,X2] :
( sQ588_spl
<=> ( ~ rearsegP(nil,X0)
| X0 = skaf66(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf66(X2))
| ~ rearsegP(X1,skaf66(X2))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ588_spl])],[split_symbol_definition]) ).
fof(f5052,plain,
( ~ sQ545_spl
| ~ sQ14_spl
| sQ588_spl ),
inference(split_clause,[status(thm)],[f5029,f5049,f581,f4708]) ).
fof(f5055,definition,
! [X0,X1] :
( sQ589_spl
<=> ( app(X0,skaf66(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf66(X1)))
| ~ ssList(skaf66(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ589_spl])],[split_symbol_definition]) ).
fof(f5058,plain,
( ~ sQ545_spl
| ~ sQ14_spl
| sQ589_spl ),
inference(split_clause,[status(thm)],[f5032,f5055,f581,f4708]) ).
fof(f5059,definition,
! [X0,X1,X2] :
( sQ590_spl
<=> ( ~ ssList(skaf66(X2))
| ~ rearsegP(X1,skaf66(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ590_spl])],[split_symbol_definition]) ).
fof(f5062,plain,
( ~ sQ545_spl
| ~ sQ14_spl
| sQ590_spl ),
inference(split_clause,[status(thm)],[f5033,f5059,f581,f4708]) ).
fof(f5063,definition,
! [X0] :
( sQ591_spl
<=> ( ~ rearsegP(nil,skaf66(X0))
| nil = skaf66(X0)
| ~ ssList(skaf66(X0))
| ~ ssList(skaf66(X0))
| ~ rearsegP(nil,skaf66(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ591_spl])],[split_symbol_definition]) ).
fof(f5066,plain,
( ~ sQ545_spl
| ~ sQ14_spl
| sQ591_spl ),
inference(split_clause,[status(thm)],[f5034,f5063,f581,f4708]) ).
fof(f5067,definition,
! [X0,X1,X2] :
( sQ592_spl
<=> ( ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf66(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf66(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ592_spl])],[split_symbol_definition]) ).
fof(f5070,plain,
( ~ sQ545_spl
| ~ sQ14_spl
| sQ592_spl ),
inference(split_clause,[status(thm)],[f5035,f5067,f581,f4708]) ).
fof(f5072,definition,
! [X0,X1,X2] :
( sQ593_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,skaf66(X1))
| ~ rearsegP(X0,X2)
| nil = skaf66(X1)
| ~ ssList(X0)
| ~ ssList(skaf66(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ593_spl])],[split_symbol_definition]) ).
fof(f5075,plain,
( ~ sQ545_spl
| ~ sQ14_spl
| sQ593_spl ),
inference(split_clause,[status(thm)],[f5037,f5072,f581,f4708]) ).
fof(f5076,definition,
! [X0,X1] :
( sQ594_spl
<=> ( nil = skaf66(X1)
| ~ ssList(X0)
| ~ ssList(skaf66(X1))
| ~ rearsegP(X0,skaf66(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ594_spl])],[split_symbol_definition]) ).
fof(f5079,plain,
( ~ sQ545_spl
| ~ sQ14_spl
| sQ594_spl ),
inference(split_clause,[status(thm)],[f5038,f5076,f581,f4708]) ).
fof(f5080,definition,
! [X0,X1] :
( sQ595_spl
<=> ( X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf66(X1))
| ~ rearsegP(X0,skaf66(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ595_spl])],[split_symbol_definition]) ).
fof(f5083,plain,
( ~ sQ545_spl
| ~ sQ14_spl
| sQ595_spl ),
inference(split_clause,[status(thm)],[f5039,f5080,f581,f4708]) ).
fof(f5084,definition,
! [X0] :
( sQ596_spl
<=> ( skaf66(X0) = nil
| ~ ssList(skaf66(X0))
| ~ rearsegP(nil,skaf66(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ596_spl])],[split_symbol_definition]) ).
fof(f5087,plain,
( ~ sQ545_spl
| ~ sQ14_spl
| sQ596_spl ),
inference(split_clause,[status(thm)],[f5040,f5084,f581,f4708]) ).
fof(f5094,plain,
! [X0] :
( app(nil,skaf66(X0)) = skaf66(X0)
| ~ rearsegP(skaf66(X0),skaf66(X0))
| ~ ssList(skaf66(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1223,f3457]) ).
fof(f5095,plain,
! [X0] :
( rearsegP(skaf66(X0),skaf66(X0))
| ~ ssList(skaf66(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1223,f3326]) ).
fof(f5096,plain,
! [X0,X1,X2] :
( app(app(nil,skaf66(X0)),X2) = X1
| ~ ssList(app(skaf66(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf66(X0)),X2))
| ~ ssList(skaf66(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf66(X0),X1) ),
inference(paramodulation,[status(thm)],[f1223,f742]) ).
fof(f5097,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf66(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf66(X0)),X2))
| ~ ssList(skaf66(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf66(X0),X1) ),
inference(paramodulation,[status(thm)],[f1223,f741]) ).
fof(f5098,plain,
! [X0,X1] :
( segmentP(app(app(nil,skaf66(X1)),X0),skaf66(X1))
| ~ ssList(app(skaf66(X1),X0))
| ~ ssList(skaf66(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1223,f501]) ).
fof(f5099,plain,
! [X0,X1,X2] :
( segmentP(app(skaf66(X0),X2),X1)
| ~ ssList(skaf66(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf66(X0),X1) ),
inference(paramodulation,[status(thm)],[f1223,f404]) ).
fof(f5100,plain,
! [X0,X1] :
( rearsegP(skaf66(X0),X1)
| ~ ssList(skaf66(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(skaf66(X0),X1) ),
inference(paramodulation,[status(thm)],[f1223,f350]) ).
fof(f5101,definition,
! [X0] :
( sQ597_spl
<=> ( app(nil,skaf66(X0)) = skaf66(X0)
| ~ rearsegP(skaf66(X0),skaf66(X0))
| ~ ssList(skaf66(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ597_spl])],[split_symbol_definition]) ).
fof(f5104,plain,
( sQ597_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5094,f581,f5101]) ).
fof(f5105,definition,
! [X0] :
( sQ598_spl
<=> ( rearsegP(skaf66(X0),skaf66(X0))
| ~ ssList(skaf66(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ598_spl])],[split_symbol_definition]) ).
fof(f5108,plain,
( sQ598_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5095,f581,f5105]) ).
fof(f5109,definition,
! [X0,X1,X2] :
( sQ599_spl
<=> ( app(app(nil,skaf66(X0)),X2) = X1
| ~ ssList(app(skaf66(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf66(X0)),X2))
| ~ ssList(skaf66(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf66(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ599_spl])],[split_symbol_definition]) ).
fof(f5112,plain,
( ~ sQ14_spl
| sQ599_spl ),
inference(split_clause,[status(thm)],[f5096,f5109,f581]) ).
fof(f5113,definition,
! [X0,X1,X2,X3] :
( sQ600_spl
<=> ( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf66(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf66(X0)),X2))
| ~ ssList(skaf66(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf66(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ600_spl])],[split_symbol_definition]) ).
fof(f5116,plain,
( ~ sQ14_spl
| sQ600_spl ),
inference(split_clause,[status(thm)],[f5097,f5113,f581]) ).
fof(f5117,definition,
! [X0,X1] :
( sQ601_spl
<=> ( segmentP(app(app(nil,skaf66(X1)),X0),skaf66(X1))
| ~ ssList(app(skaf66(X1),X0))
| ~ ssList(skaf66(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ601_spl])],[split_symbol_definition]) ).
fof(f5120,plain,
( ~ sQ14_spl
| sQ601_spl ),
inference(split_clause,[status(thm)],[f5098,f5117,f581]) ).
fof(f5121,definition,
! [X0,X1,X2] :
( sQ602_spl
<=> ( segmentP(app(skaf66(X0),X2),X1)
| ~ ssList(skaf66(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf66(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ602_spl])],[split_symbol_definition]) ).
fof(f5124,plain,
( ~ sQ14_spl
| sQ602_spl ),
inference(split_clause,[status(thm)],[f5099,f5121,f581]) ).
fof(f5125,definition,
! [X0,X1] :
( sQ603_spl
<=> ( rearsegP(skaf66(X0),X1)
| ~ ssList(skaf66(X0))
| ~ ssList(X1)
| ~ rearsegP(skaf66(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ603_spl])],[split_symbol_definition]) ).
fof(f5128,plain,
( ~ sQ14_spl
| sQ603_spl ),
inference(split_clause,[status(thm)],[f5100,f5125,f581]) ).
fof(f5138,plain,
! [X0] :
( app(nil,skaf67(X0)) = skaf67(X0)
| ~ rearsegP(skaf67(X0),skaf67(X0))
| ~ ssList(skaf67(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1224,f3457]) ).
fof(f5139,plain,
! [X0] :
( rearsegP(skaf67(X0),skaf67(X0))
| ~ ssList(skaf67(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1224,f3326]) ).
fof(f5140,plain,
! [X0,X1,X2] :
( app(app(nil,skaf67(X0)),X2) = X1
| ~ ssList(app(skaf67(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf67(X0)),X2))
| ~ ssList(skaf67(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf67(X0),X1) ),
inference(paramodulation,[status(thm)],[f1224,f742]) ).
fof(f5141,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf67(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf67(X0)),X2))
| ~ ssList(skaf67(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf67(X0),X1) ),
inference(paramodulation,[status(thm)],[f1224,f741]) ).
fof(f5142,plain,
! [X0,X1] :
( segmentP(app(app(nil,skaf67(X1)),X0),skaf67(X1))
| ~ ssList(app(skaf67(X1),X0))
| ~ ssList(skaf67(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1224,f501]) ).
fof(f5143,plain,
! [X0,X1,X2] :
( segmentP(app(skaf67(X0),X2),X1)
| ~ ssList(skaf67(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf67(X0),X1) ),
inference(paramodulation,[status(thm)],[f1224,f404]) ).
fof(f5144,plain,
! [X0,X1] :
( rearsegP(skaf67(X0),X1)
| ~ ssList(skaf67(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(skaf67(X0),X1) ),
inference(paramodulation,[status(thm)],[f1224,f350]) ).
fof(f5145,definition,
! [X0] :
( sQ604_spl
<=> ( app(nil,skaf67(X0)) = skaf67(X0)
| ~ rearsegP(skaf67(X0),skaf67(X0))
| ~ ssList(skaf67(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ604_spl])],[split_symbol_definition]) ).
fof(f5148,plain,
( sQ604_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5138,f581,f5145]) ).
fof(f5149,definition,
! [X0] :
( sQ605_spl
<=> ( rearsegP(skaf67(X0),skaf67(X0))
| ~ ssList(skaf67(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ605_spl])],[split_symbol_definition]) ).
fof(f5152,plain,
( sQ605_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5139,f581,f5149]) ).
fof(f5153,definition,
! [X0,X1,X2] :
( sQ606_spl
<=> ( app(app(nil,skaf67(X0)),X2) = X1
| ~ ssList(app(skaf67(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf67(X0)),X2))
| ~ ssList(skaf67(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf67(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ606_spl])],[split_symbol_definition]) ).
fof(f5156,plain,
( ~ sQ14_spl
| sQ606_spl ),
inference(split_clause,[status(thm)],[f5140,f5153,f581]) ).
fof(f5157,definition,
! [X0,X1,X2,X3] :
( sQ607_spl
<=> ( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf67(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf67(X0)),X2))
| ~ ssList(skaf67(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf67(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ607_spl])],[split_symbol_definition]) ).
fof(f5160,plain,
( ~ sQ14_spl
| sQ607_spl ),
inference(split_clause,[status(thm)],[f5141,f5157,f581]) ).
fof(f5161,definition,
! [X0,X1] :
( sQ608_spl
<=> ( segmentP(app(app(nil,skaf67(X1)),X0),skaf67(X1))
| ~ ssList(app(skaf67(X1),X0))
| ~ ssList(skaf67(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ608_spl])],[split_symbol_definition]) ).
fof(f5164,plain,
( ~ sQ14_spl
| sQ608_spl ),
inference(split_clause,[status(thm)],[f5142,f5161,f581]) ).
fof(f5165,definition,
! [X0,X1,X2] :
( sQ609_spl
<=> ( segmentP(app(skaf67(X0),X2),X1)
| ~ ssList(skaf67(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf67(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ609_spl])],[split_symbol_definition]) ).
fof(f5168,plain,
( ~ sQ14_spl
| sQ609_spl ),
inference(split_clause,[status(thm)],[f5143,f5165,f581]) ).
fof(f5169,definition,
! [X0,X1] :
( sQ610_spl
<=> ( rearsegP(skaf67(X0),X1)
| ~ ssList(skaf67(X0))
| ~ ssList(X1)
| ~ rearsegP(skaf67(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ610_spl])],[split_symbol_definition]) ).
fof(f5172,plain,
( ~ sQ14_spl
| sQ610_spl ),
inference(split_clause,[status(thm)],[f5144,f5169,f581]) ).
fof(f5182,plain,
! [X0] :
( app(nil,skaf68(X0)) = skaf68(X0)
| ~ rearsegP(skaf68(X0),skaf68(X0))
| ~ ssList(skaf68(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1225,f3457]) ).
fof(f5183,plain,
! [X0] :
( rearsegP(skaf68(X0),skaf68(X0))
| ~ ssList(skaf68(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1225,f3326]) ).
fof(f5184,plain,
! [X0,X1,X2] :
( app(app(nil,skaf68(X0)),X2) = X1
| ~ ssList(app(skaf68(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf68(X0)),X2))
| ~ ssList(skaf68(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf68(X0),X1) ),
inference(paramodulation,[status(thm)],[f1225,f742]) ).
fof(f5185,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf68(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf68(X0)),X2))
| ~ ssList(skaf68(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf68(X0),X1) ),
inference(paramodulation,[status(thm)],[f1225,f741]) ).
fof(f5186,plain,
! [X0,X1] :
( segmentP(app(app(nil,skaf68(X1)),X0),skaf68(X1))
| ~ ssList(app(skaf68(X1),X0))
| ~ ssList(skaf68(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1225,f501]) ).
fof(f5187,plain,
! [X0,X1,X2] :
( segmentP(app(skaf68(X0),X2),X1)
| ~ ssList(skaf68(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf68(X0),X1) ),
inference(paramodulation,[status(thm)],[f1225,f404]) ).
fof(f5188,plain,
! [X0,X1] :
( rearsegP(skaf68(X0),X1)
| ~ ssList(skaf68(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(skaf68(X0),X1) ),
inference(paramodulation,[status(thm)],[f1225,f350]) ).
fof(f5189,definition,
! [X0] :
( sQ611_spl
<=> ( app(nil,skaf68(X0)) = skaf68(X0)
| ~ rearsegP(skaf68(X0),skaf68(X0))
| ~ ssList(skaf68(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ611_spl])],[split_symbol_definition]) ).
fof(f5192,plain,
( sQ611_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5182,f581,f5189]) ).
fof(f5193,definition,
! [X0] :
( sQ612_spl
<=> ( rearsegP(skaf68(X0),skaf68(X0))
| ~ ssList(skaf68(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ612_spl])],[split_symbol_definition]) ).
fof(f5196,plain,
( sQ612_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5183,f581,f5193]) ).
fof(f5197,definition,
! [X0,X1,X2] :
( sQ613_spl
<=> ( app(app(nil,skaf68(X0)),X2) = X1
| ~ ssList(app(skaf68(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf68(X0)),X2))
| ~ ssList(skaf68(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf68(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ613_spl])],[split_symbol_definition]) ).
fof(f5200,plain,
( ~ sQ14_spl
| sQ613_spl ),
inference(split_clause,[status(thm)],[f5184,f5197,f581]) ).
fof(f5201,definition,
! [X0,X1,X2,X3] :
( sQ614_spl
<=> ( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf68(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf68(X0)),X2))
| ~ ssList(skaf68(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf68(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ614_spl])],[split_symbol_definition]) ).
fof(f5204,plain,
( ~ sQ14_spl
| sQ614_spl ),
inference(split_clause,[status(thm)],[f5185,f5201,f581]) ).
fof(f5205,definition,
! [X0,X1] :
( sQ615_spl
<=> ( segmentP(app(app(nil,skaf68(X1)),X0),skaf68(X1))
| ~ ssList(app(skaf68(X1),X0))
| ~ ssList(skaf68(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ615_spl])],[split_symbol_definition]) ).
fof(f5208,plain,
( ~ sQ14_spl
| sQ615_spl ),
inference(split_clause,[status(thm)],[f5186,f5205,f581]) ).
fof(f5209,definition,
! [X0,X1,X2] :
( sQ616_spl
<=> ( segmentP(app(skaf68(X0),X2),X1)
| ~ ssList(skaf68(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf68(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ616_spl])],[split_symbol_definition]) ).
fof(f5212,plain,
( ~ sQ14_spl
| sQ616_spl ),
inference(split_clause,[status(thm)],[f5187,f5209,f581]) ).
fof(f5213,definition,
! [X0,X1] :
( sQ617_spl
<=> ( rearsegP(skaf68(X0),X1)
| ~ ssList(skaf68(X0))
| ~ ssList(X1)
| ~ rearsegP(skaf68(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ617_spl])],[split_symbol_definition]) ).
fof(f5216,plain,
( ~ sQ14_spl
| sQ617_spl ),
inference(split_clause,[status(thm)],[f5188,f5213,f581]) ).
fof(f5226,plain,
! [X0] :
( app(nil,skaf71(X0)) = skaf71(X0)
| ~ rearsegP(skaf71(X0),skaf71(X0))
| ~ ssList(skaf71(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1226,f3457]) ).
fof(f5227,plain,
! [X0] :
( rearsegP(skaf71(X0),skaf71(X0))
| ~ ssList(skaf71(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1226,f3326]) ).
fof(f5228,plain,
! [X0,X1,X2] :
( app(app(nil,skaf71(X0)),X2) = X1
| ~ ssList(app(skaf71(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf71(X0)),X2))
| ~ ssList(skaf71(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf71(X0),X1) ),
inference(paramodulation,[status(thm)],[f1226,f742]) ).
fof(f5229,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf71(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf71(X0)),X2))
| ~ ssList(skaf71(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf71(X0),X1) ),
inference(paramodulation,[status(thm)],[f1226,f741]) ).
fof(f5230,plain,
! [X0,X1] :
( segmentP(app(app(nil,skaf71(X1)),X0),skaf71(X1))
| ~ ssList(app(skaf71(X1),X0))
| ~ ssList(skaf71(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1226,f501]) ).
fof(f5231,plain,
! [X0,X1,X2] :
( segmentP(app(skaf71(X0),X2),X1)
| ~ ssList(skaf71(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf71(X0),X1) ),
inference(paramodulation,[status(thm)],[f1226,f404]) ).
fof(f5232,plain,
! [X0,X1] :
( rearsegP(skaf71(X0),X1)
| ~ ssList(skaf71(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(skaf71(X0),X1) ),
inference(paramodulation,[status(thm)],[f1226,f350]) ).
fof(f5233,definition,
! [X0] :
( sQ618_spl
<=> ( app(nil,skaf71(X0)) = skaf71(X0)
| ~ rearsegP(skaf71(X0),skaf71(X0))
| ~ ssList(skaf71(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ618_spl])],[split_symbol_definition]) ).
fof(f5236,plain,
( sQ618_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5226,f581,f5233]) ).
fof(f5237,definition,
! [X0] :
( sQ619_spl
<=> ( rearsegP(skaf71(X0),skaf71(X0))
| ~ ssList(skaf71(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ619_spl])],[split_symbol_definition]) ).
fof(f5240,plain,
( sQ619_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5227,f581,f5237]) ).
fof(f5241,definition,
! [X0,X1,X2] :
( sQ620_spl
<=> ( app(app(nil,skaf71(X0)),X2) = X1
| ~ ssList(app(skaf71(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf71(X0)),X2))
| ~ ssList(skaf71(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf71(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ620_spl])],[split_symbol_definition]) ).
fof(f5244,plain,
( ~ sQ14_spl
| sQ620_spl ),
inference(split_clause,[status(thm)],[f5228,f5241,f581]) ).
fof(f5245,definition,
! [X0,X1,X2,X3] :
( sQ621_spl
<=> ( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf71(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf71(X0)),X2))
| ~ ssList(skaf71(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf71(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ621_spl])],[split_symbol_definition]) ).
fof(f5248,plain,
( ~ sQ14_spl
| sQ621_spl ),
inference(split_clause,[status(thm)],[f5229,f5245,f581]) ).
fof(f5249,definition,
! [X0,X1] :
( sQ622_spl
<=> ( segmentP(app(app(nil,skaf71(X1)),X0),skaf71(X1))
| ~ ssList(app(skaf71(X1),X0))
| ~ ssList(skaf71(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ622_spl])],[split_symbol_definition]) ).
fof(f5252,plain,
( ~ sQ14_spl
| sQ622_spl ),
inference(split_clause,[status(thm)],[f5230,f5249,f581]) ).
fof(f5253,definition,
! [X0,X1,X2] :
( sQ623_spl
<=> ( segmentP(app(skaf71(X0),X2),X1)
| ~ ssList(skaf71(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf71(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ623_spl])],[split_symbol_definition]) ).
fof(f5256,plain,
( ~ sQ14_spl
| sQ623_spl ),
inference(split_clause,[status(thm)],[f5231,f5253,f581]) ).
fof(f5257,definition,
! [X0,X1] :
( sQ624_spl
<=> ( rearsegP(skaf71(X0),X1)
| ~ ssList(skaf71(X0))
| ~ ssList(X1)
| ~ rearsegP(skaf71(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ624_spl])],[split_symbol_definition]) ).
fof(f5260,plain,
( ~ sQ14_spl
| sQ624_spl ),
inference(split_clause,[status(thm)],[f5232,f5257,f581]) ).
fof(f5270,plain,
! [X0] :
( app(nil,skaf72(X0)) = skaf72(X0)
| ~ rearsegP(skaf72(X0),skaf72(X0))
| ~ ssList(skaf72(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1227,f3457]) ).
fof(f5271,plain,
! [X0] :
( rearsegP(skaf72(X0),skaf72(X0))
| ~ ssList(skaf72(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1227,f3326]) ).
fof(f5272,plain,
! [X0,X1,X2] :
( app(app(nil,skaf72(X0)),X2) = X1
| ~ ssList(app(skaf72(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf72(X0)),X2))
| ~ ssList(skaf72(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf72(X0),X1) ),
inference(paramodulation,[status(thm)],[f1227,f742]) ).
fof(f5273,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf72(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf72(X0)),X2))
| ~ ssList(skaf72(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf72(X0),X1) ),
inference(paramodulation,[status(thm)],[f1227,f741]) ).
fof(f5274,plain,
! [X0,X1] :
( segmentP(app(app(nil,skaf72(X1)),X0),skaf72(X1))
| ~ ssList(app(skaf72(X1),X0))
| ~ ssList(skaf72(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1227,f501]) ).
fof(f5275,plain,
! [X0,X1,X2] :
( segmentP(app(skaf72(X0),X2),X1)
| ~ ssList(skaf72(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf72(X0),X1) ),
inference(paramodulation,[status(thm)],[f1227,f404]) ).
fof(f5276,plain,
! [X0,X1] :
( rearsegP(skaf72(X0),X1)
| ~ ssList(skaf72(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(skaf72(X0),X1) ),
inference(paramodulation,[status(thm)],[f1227,f350]) ).
fof(f5277,definition,
! [X0] :
( sQ625_spl
<=> ( app(nil,skaf72(X0)) = skaf72(X0)
| ~ rearsegP(skaf72(X0),skaf72(X0))
| ~ ssList(skaf72(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ625_spl])],[split_symbol_definition]) ).
fof(f5280,plain,
( sQ625_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5270,f581,f5277]) ).
fof(f5281,definition,
! [X0] :
( sQ626_spl
<=> ( rearsegP(skaf72(X0),skaf72(X0))
| ~ ssList(skaf72(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ626_spl])],[split_symbol_definition]) ).
fof(f5284,plain,
( sQ626_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5271,f581,f5281]) ).
fof(f5285,definition,
! [X0,X1,X2] :
( sQ627_spl
<=> ( app(app(nil,skaf72(X0)),X2) = X1
| ~ ssList(app(skaf72(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf72(X0)),X2))
| ~ ssList(skaf72(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf72(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ627_spl])],[split_symbol_definition]) ).
fof(f5288,plain,
( ~ sQ14_spl
| sQ627_spl ),
inference(split_clause,[status(thm)],[f5272,f5285,f581]) ).
fof(f5289,definition,
! [X0,X1,X2,X3] :
( sQ628_spl
<=> ( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf72(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf72(X0)),X2))
| ~ ssList(skaf72(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf72(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ628_spl])],[split_symbol_definition]) ).
fof(f5292,plain,
( ~ sQ14_spl
| sQ628_spl ),
inference(split_clause,[status(thm)],[f5273,f5289,f581]) ).
fof(f5293,definition,
! [X0,X1] :
( sQ629_spl
<=> ( segmentP(app(app(nil,skaf72(X1)),X0),skaf72(X1))
| ~ ssList(app(skaf72(X1),X0))
| ~ ssList(skaf72(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ629_spl])],[split_symbol_definition]) ).
fof(f5296,plain,
( ~ sQ14_spl
| sQ629_spl ),
inference(split_clause,[status(thm)],[f5274,f5293,f581]) ).
fof(f5297,definition,
! [X0,X1,X2] :
( sQ630_spl
<=> ( segmentP(app(skaf72(X0),X2),X1)
| ~ ssList(skaf72(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf72(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ630_spl])],[split_symbol_definition]) ).
fof(f5300,plain,
( ~ sQ14_spl
| sQ630_spl ),
inference(split_clause,[status(thm)],[f5275,f5297,f581]) ).
fof(f5301,definition,
! [X0,X1] :
( sQ631_spl
<=> ( rearsegP(skaf72(X0),X1)
| ~ ssList(skaf72(X0))
| ~ ssList(X1)
| ~ rearsegP(skaf72(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ631_spl])],[split_symbol_definition]) ).
fof(f5304,plain,
( ~ sQ14_spl
| sQ631_spl ),
inference(split_clause,[status(thm)],[f5276,f5301,f581]) ).
fof(f5314,plain,
! [X0] :
( app(nil,skaf73(X0)) = skaf73(X0)
| ~ rearsegP(skaf73(X0),skaf73(X0))
| ~ ssList(skaf73(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1228,f3457]) ).
fof(f5315,plain,
! [X0] :
( rearsegP(skaf73(X0),skaf73(X0))
| ~ ssList(skaf73(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1228,f3326]) ).
fof(f5316,plain,
! [X0,X1,X2] :
( app(app(nil,skaf73(X0)),X2) = X1
| ~ ssList(app(skaf73(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf73(X0)),X2))
| ~ ssList(skaf73(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf73(X0),X1) ),
inference(paramodulation,[status(thm)],[f1228,f742]) ).
fof(f5317,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf73(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf73(X0)),X2))
| ~ ssList(skaf73(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf73(X0),X1) ),
inference(paramodulation,[status(thm)],[f1228,f741]) ).
fof(f5318,plain,
! [X0,X1] :
( segmentP(app(app(nil,skaf73(X1)),X0),skaf73(X1))
| ~ ssList(app(skaf73(X1),X0))
| ~ ssList(skaf73(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1228,f501]) ).
fof(f5319,plain,
! [X0,X1,X2] :
( segmentP(app(skaf73(X0),X2),X1)
| ~ ssList(skaf73(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf73(X0),X1) ),
inference(paramodulation,[status(thm)],[f1228,f404]) ).
fof(f5320,plain,
! [X0,X1] :
( rearsegP(skaf73(X0),X1)
| ~ ssList(skaf73(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(skaf73(X0),X1) ),
inference(paramodulation,[status(thm)],[f1228,f350]) ).
fof(f5321,definition,
! [X0] :
( sQ632_spl
<=> ( app(nil,skaf73(X0)) = skaf73(X0)
| ~ rearsegP(skaf73(X0),skaf73(X0))
| ~ ssList(skaf73(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ632_spl])],[split_symbol_definition]) ).
fof(f5324,plain,
( sQ632_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5314,f581,f5321]) ).
fof(f5325,definition,
! [X0] :
( sQ633_spl
<=> ( rearsegP(skaf73(X0),skaf73(X0))
| ~ ssList(skaf73(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ633_spl])],[split_symbol_definition]) ).
fof(f5328,plain,
( sQ633_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5315,f581,f5325]) ).
fof(f5329,definition,
! [X0,X1,X2] :
( sQ634_spl
<=> ( app(app(nil,skaf73(X0)),X2) = X1
| ~ ssList(app(skaf73(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf73(X0)),X2))
| ~ ssList(skaf73(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf73(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ634_spl])],[split_symbol_definition]) ).
fof(f5332,plain,
( ~ sQ14_spl
| sQ634_spl ),
inference(split_clause,[status(thm)],[f5316,f5329,f581]) ).
fof(f5333,definition,
! [X0,X1,X2,X3] :
( sQ635_spl
<=> ( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf73(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf73(X0)),X2))
| ~ ssList(skaf73(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf73(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ635_spl])],[split_symbol_definition]) ).
fof(f5336,plain,
( ~ sQ14_spl
| sQ635_spl ),
inference(split_clause,[status(thm)],[f5317,f5333,f581]) ).
fof(f5337,definition,
! [X0,X1] :
( sQ636_spl
<=> ( segmentP(app(app(nil,skaf73(X1)),X0),skaf73(X1))
| ~ ssList(app(skaf73(X1),X0))
| ~ ssList(skaf73(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ636_spl])],[split_symbol_definition]) ).
fof(f5340,plain,
( ~ sQ14_spl
| sQ636_spl ),
inference(split_clause,[status(thm)],[f5318,f5337,f581]) ).
fof(f5341,definition,
! [X0,X1,X2] :
( sQ637_spl
<=> ( segmentP(app(skaf73(X0),X2),X1)
| ~ ssList(skaf73(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf73(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ637_spl])],[split_symbol_definition]) ).
fof(f5344,plain,
( ~ sQ14_spl
| sQ637_spl ),
inference(split_clause,[status(thm)],[f5319,f5341,f581]) ).
fof(f5345,definition,
! [X0,X1] :
( sQ638_spl
<=> ( rearsegP(skaf73(X0),X1)
| ~ ssList(skaf73(X0))
| ~ ssList(X1)
| ~ rearsegP(skaf73(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ638_spl])],[split_symbol_definition]) ).
fof(f5348,plain,
( ~ sQ14_spl
| sQ638_spl ),
inference(split_clause,[status(thm)],[f5320,f5345,f581]) ).
fof(f5358,plain,
! [X0] :
( app(nil,skaf75(X0)) = skaf75(X0)
| ~ rearsegP(skaf75(X0),skaf75(X0))
| ~ ssList(skaf75(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1229,f3457]) ).
fof(f5359,plain,
! [X0] :
( rearsegP(skaf75(X0),skaf75(X0))
| ~ ssList(skaf75(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1229,f3326]) ).
fof(f5360,plain,
! [X0,X1,X2] :
( app(app(nil,skaf75(X0)),X2) = X1
| ~ ssList(app(skaf75(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf75(X0)),X2))
| ~ ssList(skaf75(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf75(X0),X1) ),
inference(paramodulation,[status(thm)],[f1229,f742]) ).
fof(f5361,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf75(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf75(X0)),X2))
| ~ ssList(skaf75(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf75(X0),X1) ),
inference(paramodulation,[status(thm)],[f1229,f741]) ).
fof(f5362,plain,
! [X0,X1] :
( segmentP(app(app(nil,skaf75(X1)),X0),skaf75(X1))
| ~ ssList(app(skaf75(X1),X0))
| ~ ssList(skaf75(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1229,f501]) ).
fof(f5363,plain,
! [X0,X1,X2] :
( segmentP(app(skaf75(X0),X2),X1)
| ~ ssList(skaf75(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf75(X0),X1) ),
inference(paramodulation,[status(thm)],[f1229,f404]) ).
fof(f5364,plain,
! [X0,X1] :
( rearsegP(skaf75(X0),X1)
| ~ ssList(skaf75(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(skaf75(X0),X1) ),
inference(paramodulation,[status(thm)],[f1229,f350]) ).
fof(f5365,definition,
! [X0] :
( sQ639_spl
<=> ( app(nil,skaf75(X0)) = skaf75(X0)
| ~ rearsegP(skaf75(X0),skaf75(X0))
| ~ ssList(skaf75(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ639_spl])],[split_symbol_definition]) ).
fof(f5368,plain,
( sQ639_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5358,f581,f5365]) ).
fof(f5369,definition,
! [X0] :
( sQ640_spl
<=> ( rearsegP(skaf75(X0),skaf75(X0))
| ~ ssList(skaf75(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ640_spl])],[split_symbol_definition]) ).
fof(f5372,plain,
( sQ640_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5359,f581,f5369]) ).
fof(f5373,definition,
! [X0,X1,X2] :
( sQ641_spl
<=> ( app(app(nil,skaf75(X0)),X2) = X1
| ~ ssList(app(skaf75(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf75(X0)),X2))
| ~ ssList(skaf75(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf75(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ641_spl])],[split_symbol_definition]) ).
fof(f5376,plain,
( ~ sQ14_spl
| sQ641_spl ),
inference(split_clause,[status(thm)],[f5360,f5373,f581]) ).
fof(f5377,definition,
! [X0,X1,X2,X3] :
( sQ642_spl
<=> ( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf75(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf75(X0)),X2))
| ~ ssList(skaf75(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf75(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ642_spl])],[split_symbol_definition]) ).
fof(f5380,plain,
( ~ sQ14_spl
| sQ642_spl ),
inference(split_clause,[status(thm)],[f5361,f5377,f581]) ).
fof(f5381,definition,
! [X0,X1] :
( sQ643_spl
<=> ( segmentP(app(app(nil,skaf75(X1)),X0),skaf75(X1))
| ~ ssList(app(skaf75(X1),X0))
| ~ ssList(skaf75(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ643_spl])],[split_symbol_definition]) ).
fof(f5384,plain,
( ~ sQ14_spl
| sQ643_spl ),
inference(split_clause,[status(thm)],[f5362,f5381,f581]) ).
fof(f5385,definition,
! [X0,X1,X2] :
( sQ644_spl
<=> ( segmentP(app(skaf75(X0),X2),X1)
| ~ ssList(skaf75(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf75(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ644_spl])],[split_symbol_definition]) ).
fof(f5388,plain,
( ~ sQ14_spl
| sQ644_spl ),
inference(split_clause,[status(thm)],[f5363,f5385,f581]) ).
fof(f5389,definition,
! [X0,X1] :
( sQ645_spl
<=> ( rearsegP(skaf75(X0),X1)
| ~ ssList(skaf75(X0))
| ~ ssList(X1)
| ~ rearsegP(skaf75(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ645_spl])],[split_symbol_definition]) ).
fof(f5392,plain,
( ~ sQ14_spl
| sQ645_spl ),
inference(split_clause,[status(thm)],[f5364,f5389,f581]) ).
fof(f5402,plain,
! [X0] :
( app(nil,skaf76(X0)) = skaf76(X0)
| ~ rearsegP(skaf76(X0),skaf76(X0))
| ~ ssList(skaf76(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1230,f3457]) ).
fof(f5403,plain,
! [X0] :
( rearsegP(skaf76(X0),skaf76(X0))
| ~ ssList(skaf76(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1230,f3326]) ).
fof(f5404,plain,
! [X0,X1,X2] :
( app(app(nil,skaf76(X0)),X2) = X1
| ~ ssList(app(skaf76(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf76(X0)),X2))
| ~ ssList(skaf76(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf76(X0),X1) ),
inference(paramodulation,[status(thm)],[f1230,f742]) ).
fof(f5405,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf76(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf76(X0)),X2))
| ~ ssList(skaf76(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf76(X0),X1) ),
inference(paramodulation,[status(thm)],[f1230,f741]) ).
fof(f5406,plain,
! [X0,X1] :
( segmentP(app(app(nil,skaf76(X1)),X0),skaf76(X1))
| ~ ssList(app(skaf76(X1),X0))
| ~ ssList(skaf76(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1230,f501]) ).
fof(f5407,plain,
! [X0,X1,X2] :
( segmentP(app(skaf76(X0),X2),X1)
| ~ ssList(skaf76(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf76(X0),X1) ),
inference(paramodulation,[status(thm)],[f1230,f404]) ).
fof(f5408,plain,
! [X0,X1] :
( rearsegP(skaf76(X0),X1)
| ~ ssList(skaf76(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(skaf76(X0),X1) ),
inference(paramodulation,[status(thm)],[f1230,f350]) ).
fof(f5409,definition,
! [X0] :
( sQ646_spl
<=> ( app(nil,skaf76(X0)) = skaf76(X0)
| ~ rearsegP(skaf76(X0),skaf76(X0))
| ~ ssList(skaf76(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ646_spl])],[split_symbol_definition]) ).
fof(f5412,plain,
( sQ646_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5402,f581,f5409]) ).
fof(f5413,definition,
! [X0] :
( sQ647_spl
<=> ( rearsegP(skaf76(X0),skaf76(X0))
| ~ ssList(skaf76(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ647_spl])],[split_symbol_definition]) ).
fof(f5416,plain,
( sQ647_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5403,f581,f5413]) ).
fof(f5417,definition,
! [X0,X1,X2] :
( sQ648_spl
<=> ( app(app(nil,skaf76(X0)),X2) = X1
| ~ ssList(app(skaf76(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf76(X0)),X2))
| ~ ssList(skaf76(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf76(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ648_spl])],[split_symbol_definition]) ).
fof(f5420,plain,
( ~ sQ14_spl
| sQ648_spl ),
inference(split_clause,[status(thm)],[f5404,f5417,f581]) ).
fof(f5421,definition,
! [X0,X1,X2,X3] :
( sQ649_spl
<=> ( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf76(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf76(X0)),X2))
| ~ ssList(skaf76(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf76(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ649_spl])],[split_symbol_definition]) ).
fof(f5424,plain,
( ~ sQ14_spl
| sQ649_spl ),
inference(split_clause,[status(thm)],[f5405,f5421,f581]) ).
fof(f5425,definition,
! [X0,X1] :
( sQ650_spl
<=> ( segmentP(app(app(nil,skaf76(X1)),X0),skaf76(X1))
| ~ ssList(app(skaf76(X1),X0))
| ~ ssList(skaf76(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ650_spl])],[split_symbol_definition]) ).
fof(f5428,plain,
( ~ sQ14_spl
| sQ650_spl ),
inference(split_clause,[status(thm)],[f5406,f5425,f581]) ).
fof(f5429,definition,
! [X0,X1,X2] :
( sQ651_spl
<=> ( segmentP(app(skaf76(X0),X2),X1)
| ~ ssList(skaf76(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf76(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ651_spl])],[split_symbol_definition]) ).
fof(f5432,plain,
( ~ sQ14_spl
| sQ651_spl ),
inference(split_clause,[status(thm)],[f5407,f5429,f581]) ).
fof(f5433,definition,
! [X0,X1] :
( sQ652_spl
<=> ( rearsegP(skaf76(X0),X1)
| ~ ssList(skaf76(X0))
| ~ ssList(X1)
| ~ rearsegP(skaf76(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ652_spl])],[split_symbol_definition]) ).
fof(f5436,plain,
( ~ sQ14_spl
| sQ652_spl ),
inference(split_clause,[status(thm)],[f5408,f5433,f581]) ).
fof(f5446,plain,
! [X0] :
( app(nil,skaf77(X0)) = skaf77(X0)
| ~ rearsegP(skaf77(X0),skaf77(X0))
| ~ ssList(skaf77(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1231,f3457]) ).
fof(f5447,plain,
! [X0] :
( rearsegP(skaf77(X0),skaf77(X0))
| ~ ssList(skaf77(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1231,f3326]) ).
fof(f5448,plain,
! [X0,X1,X2] :
( app(app(nil,skaf77(X0)),X2) = X1
| ~ ssList(app(skaf77(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf77(X0)),X2))
| ~ ssList(skaf77(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf77(X0),X1) ),
inference(paramodulation,[status(thm)],[f1231,f742]) ).
fof(f5449,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf77(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf77(X0)),X2))
| ~ ssList(skaf77(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf77(X0),X1) ),
inference(paramodulation,[status(thm)],[f1231,f741]) ).
fof(f5450,plain,
! [X0,X1] :
( segmentP(app(app(nil,skaf77(X1)),X0),skaf77(X1))
| ~ ssList(app(skaf77(X1),X0))
| ~ ssList(skaf77(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1231,f501]) ).
fof(f5451,plain,
! [X0,X1,X2] :
( segmentP(app(skaf77(X0),X2),X1)
| ~ ssList(skaf77(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf77(X0),X1) ),
inference(paramodulation,[status(thm)],[f1231,f404]) ).
fof(f5452,plain,
! [X0,X1] :
( rearsegP(skaf77(X0),X1)
| ~ ssList(skaf77(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(skaf77(X0),X1) ),
inference(paramodulation,[status(thm)],[f1231,f350]) ).
fof(f5453,definition,
! [X0] :
( sQ653_spl
<=> ( app(nil,skaf77(X0)) = skaf77(X0)
| ~ rearsegP(skaf77(X0),skaf77(X0))
| ~ ssList(skaf77(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ653_spl])],[split_symbol_definition]) ).
fof(f5456,plain,
( sQ653_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5446,f581,f5453]) ).
fof(f5457,definition,
! [X0] :
( sQ654_spl
<=> ( rearsegP(skaf77(X0),skaf77(X0))
| ~ ssList(skaf77(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ654_spl])],[split_symbol_definition]) ).
fof(f5460,plain,
( sQ654_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5447,f581,f5457]) ).
fof(f5461,definition,
! [X0,X1,X2] :
( sQ655_spl
<=> ( app(app(nil,skaf77(X0)),X2) = X1
| ~ ssList(app(skaf77(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf77(X0)),X2))
| ~ ssList(skaf77(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf77(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ655_spl])],[split_symbol_definition]) ).
fof(f5464,plain,
( ~ sQ14_spl
| sQ655_spl ),
inference(split_clause,[status(thm)],[f5448,f5461,f581]) ).
fof(f5465,definition,
! [X0,X1,X2,X3] :
( sQ656_spl
<=> ( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf77(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf77(X0)),X2))
| ~ ssList(skaf77(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf77(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ656_spl])],[split_symbol_definition]) ).
fof(f5468,plain,
( ~ sQ14_spl
| sQ656_spl ),
inference(split_clause,[status(thm)],[f5449,f5465,f581]) ).
fof(f5469,definition,
! [X0,X1] :
( sQ657_spl
<=> ( segmentP(app(app(nil,skaf77(X1)),X0),skaf77(X1))
| ~ ssList(app(skaf77(X1),X0))
| ~ ssList(skaf77(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ657_spl])],[split_symbol_definition]) ).
fof(f5472,plain,
( ~ sQ14_spl
| sQ657_spl ),
inference(split_clause,[status(thm)],[f5450,f5469,f581]) ).
fof(f5473,definition,
! [X0,X1,X2] :
( sQ658_spl
<=> ( segmentP(app(skaf77(X0),X2),X1)
| ~ ssList(skaf77(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf77(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ658_spl])],[split_symbol_definition]) ).
fof(f5476,plain,
( ~ sQ14_spl
| sQ658_spl ),
inference(split_clause,[status(thm)],[f5451,f5473,f581]) ).
fof(f5477,definition,
! [X0,X1] :
( sQ659_spl
<=> ( rearsegP(skaf77(X0),X1)
| ~ ssList(skaf77(X0))
| ~ ssList(X1)
| ~ rearsegP(skaf77(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ659_spl])],[split_symbol_definition]) ).
fof(f5480,plain,
( ~ sQ14_spl
| sQ659_spl ),
inference(split_clause,[status(thm)],[f5452,f5477,f581]) ).
fof(f5490,plain,
! [X0] :
( app(nil,skaf80(X0)) = skaf80(X0)
| ~ rearsegP(skaf80(X0),skaf80(X0))
| ~ ssList(skaf80(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1232,f3457]) ).
fof(f5491,plain,
! [X0] :
( rearsegP(skaf80(X0),skaf80(X0))
| ~ ssList(skaf80(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1232,f3326]) ).
fof(f5492,plain,
! [X0,X1,X2] :
( app(app(nil,skaf80(X0)),X2) = X1
| ~ ssList(app(skaf80(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf80(X0)),X2))
| ~ ssList(skaf80(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf80(X0),X1) ),
inference(paramodulation,[status(thm)],[f1232,f742]) ).
fof(f5493,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf80(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf80(X0)),X2))
| ~ ssList(skaf80(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf80(X0),X1) ),
inference(paramodulation,[status(thm)],[f1232,f741]) ).
fof(f5494,plain,
! [X0,X1] :
( segmentP(app(app(nil,skaf80(X1)),X0),skaf80(X1))
| ~ ssList(app(skaf80(X1),X0))
| ~ ssList(skaf80(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1232,f501]) ).
fof(f5495,plain,
! [X0,X1,X2] :
( segmentP(app(skaf80(X0),X2),X1)
| ~ ssList(skaf80(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf80(X0),X1) ),
inference(paramodulation,[status(thm)],[f1232,f404]) ).
fof(f5496,plain,
! [X0,X1] :
( rearsegP(skaf80(X0),X1)
| ~ ssList(skaf80(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(skaf80(X0),X1) ),
inference(paramodulation,[status(thm)],[f1232,f350]) ).
fof(f5497,definition,
! [X0] :
( sQ660_spl
<=> ( app(nil,skaf80(X0)) = skaf80(X0)
| ~ rearsegP(skaf80(X0),skaf80(X0))
| ~ ssList(skaf80(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ660_spl])],[split_symbol_definition]) ).
fof(f5500,plain,
( sQ660_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5490,f581,f5497]) ).
fof(f5501,definition,
! [X0] :
( sQ661_spl
<=> ( rearsegP(skaf80(X0),skaf80(X0))
| ~ ssList(skaf80(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ661_spl])],[split_symbol_definition]) ).
fof(f5504,plain,
( sQ661_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5491,f581,f5501]) ).
fof(f5505,definition,
! [X0,X1,X2] :
( sQ662_spl
<=> ( app(app(nil,skaf80(X0)),X2) = X1
| ~ ssList(app(skaf80(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf80(X0)),X2))
| ~ ssList(skaf80(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf80(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ662_spl])],[split_symbol_definition]) ).
fof(f5508,plain,
( ~ sQ14_spl
| sQ662_spl ),
inference(split_clause,[status(thm)],[f5492,f5505,f581]) ).
fof(f5509,definition,
! [X0,X1,X2,X3] :
( sQ663_spl
<=> ( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf80(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf80(X0)),X2))
| ~ ssList(skaf80(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf80(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ663_spl])],[split_symbol_definition]) ).
fof(f5512,plain,
( ~ sQ14_spl
| sQ663_spl ),
inference(split_clause,[status(thm)],[f5493,f5509,f581]) ).
fof(f5513,definition,
! [X0,X1] :
( sQ664_spl
<=> ( segmentP(app(app(nil,skaf80(X1)),X0),skaf80(X1))
| ~ ssList(app(skaf80(X1),X0))
| ~ ssList(skaf80(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ664_spl])],[split_symbol_definition]) ).
fof(f5516,plain,
( ~ sQ14_spl
| sQ664_spl ),
inference(split_clause,[status(thm)],[f5494,f5513,f581]) ).
fof(f5517,definition,
! [X0,X1,X2] :
( sQ665_spl
<=> ( segmentP(app(skaf80(X0),X2),X1)
| ~ ssList(skaf80(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf80(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ665_spl])],[split_symbol_definition]) ).
fof(f5520,plain,
( ~ sQ14_spl
| sQ665_spl ),
inference(split_clause,[status(thm)],[f5495,f5517,f581]) ).
fof(f5521,definition,
! [X0,X1] :
( sQ666_spl
<=> ( rearsegP(skaf80(X0),X1)
| ~ ssList(skaf80(X0))
| ~ ssList(X1)
| ~ rearsegP(skaf80(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ666_spl])],[split_symbol_definition]) ).
fof(f5524,plain,
( ~ sQ14_spl
| sQ666_spl ),
inference(split_clause,[status(thm)],[f5496,f5521,f581]) ).
fof(f5534,plain,
! [X0] :
( app(nil,skaf81(X0)) = skaf81(X0)
| ~ rearsegP(skaf81(X0),skaf81(X0))
| ~ ssList(skaf81(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1233,f3457]) ).
fof(f5535,plain,
! [X0] :
( rearsegP(skaf81(X0),skaf81(X0))
| ~ ssList(skaf81(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1233,f3326]) ).
fof(f5536,plain,
! [X0,X1,X2] :
( app(app(nil,skaf81(X0)),X2) = X1
| ~ ssList(app(skaf81(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf81(X0)),X2))
| ~ ssList(skaf81(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf81(X0),X1) ),
inference(paramodulation,[status(thm)],[f1233,f742]) ).
fof(f5537,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf81(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf81(X0)),X2))
| ~ ssList(skaf81(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf81(X0),X1) ),
inference(paramodulation,[status(thm)],[f1233,f741]) ).
fof(f5538,plain,
! [X0,X1] :
( segmentP(app(app(nil,skaf81(X1)),X0),skaf81(X1))
| ~ ssList(app(skaf81(X1),X0))
| ~ ssList(skaf81(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1233,f501]) ).
fof(f5539,plain,
! [X0,X1,X2] :
( segmentP(app(skaf81(X0),X2),X1)
| ~ ssList(skaf81(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf81(X0),X1) ),
inference(paramodulation,[status(thm)],[f1233,f404]) ).
fof(f5540,plain,
! [X0,X1] :
( rearsegP(skaf81(X0),X1)
| ~ ssList(skaf81(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(skaf81(X0),X1) ),
inference(paramodulation,[status(thm)],[f1233,f350]) ).
fof(f5541,definition,
! [X0] :
( sQ667_spl
<=> ( app(nil,skaf81(X0)) = skaf81(X0)
| ~ rearsegP(skaf81(X0),skaf81(X0))
| ~ ssList(skaf81(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ667_spl])],[split_symbol_definition]) ).
fof(f5544,plain,
( sQ667_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5534,f581,f5541]) ).
fof(f5545,definition,
! [X0] :
( sQ668_spl
<=> ( rearsegP(skaf81(X0),skaf81(X0))
| ~ ssList(skaf81(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ668_spl])],[split_symbol_definition]) ).
fof(f5548,plain,
( sQ668_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5535,f581,f5545]) ).
fof(f5549,definition,
! [X0,X1,X2] :
( sQ669_spl
<=> ( app(app(nil,skaf81(X0)),X2) = X1
| ~ ssList(app(skaf81(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf81(X0)),X2))
| ~ ssList(skaf81(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf81(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ669_spl])],[split_symbol_definition]) ).
fof(f5552,plain,
( ~ sQ14_spl
| sQ669_spl ),
inference(split_clause,[status(thm)],[f5536,f5549,f581]) ).
fof(f5553,definition,
! [X0,X1,X2,X3] :
( sQ670_spl
<=> ( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf81(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf81(X0)),X2))
| ~ ssList(skaf81(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf81(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ670_spl])],[split_symbol_definition]) ).
fof(f5556,plain,
( ~ sQ14_spl
| sQ670_spl ),
inference(split_clause,[status(thm)],[f5537,f5553,f581]) ).
fof(f5557,definition,
! [X0,X1] :
( sQ671_spl
<=> ( segmentP(app(app(nil,skaf81(X1)),X0),skaf81(X1))
| ~ ssList(app(skaf81(X1),X0))
| ~ ssList(skaf81(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ671_spl])],[split_symbol_definition]) ).
fof(f5560,plain,
( ~ sQ14_spl
| sQ671_spl ),
inference(split_clause,[status(thm)],[f5538,f5557,f581]) ).
fof(f5561,definition,
! [X0,X1,X2] :
( sQ672_spl
<=> ( segmentP(app(skaf81(X0),X2),X1)
| ~ ssList(skaf81(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf81(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ672_spl])],[split_symbol_definition]) ).
fof(f5564,plain,
( ~ sQ14_spl
| sQ672_spl ),
inference(split_clause,[status(thm)],[f5539,f5561,f581]) ).
fof(f5565,definition,
! [X0,X1] :
( sQ673_spl
<=> ( rearsegP(skaf81(X0),X1)
| ~ ssList(skaf81(X0))
| ~ ssList(X1)
| ~ rearsegP(skaf81(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ673_spl])],[split_symbol_definition]) ).
fof(f5568,plain,
( ~ sQ14_spl
| sQ673_spl ),
inference(split_clause,[status(thm)],[f5540,f5565,f581]) ).
fof(f5577,plain,
( app(sk3,nil) = app(sk3,nil)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f989,f3362]) ).
fof(f5578,definition,
( sQ674_spl
<=> app(sk3,nil) = app(sk3,nil) ),
introduced(definition,[new_symbols(definition,[sQ674_spl])],[split_symbol_definition]) ).
fof(f5581,plain,
( sQ674_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5577,f581,f5578]) ).
fof(f5582,plain,
( app(nil,sk3) = app(sk3,nil)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f989,f3363]) ).
fof(f5583,definition,
( sQ675_spl
<=> app(nil,sk3) = app(sk3,nil) ),
introduced(definition,[new_symbols(definition,[sQ675_spl])],[split_symbol_definition]) ).
fof(f5586,plain,
( sQ675_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5582,f581,f5583]) ).
fof(f5588,plain,
( app(sk4,nil) = app(sk4,nil)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1018,f3367]) ).
fof(f5589,definition,
( sQ676_spl
<=> app(sk4,nil) = app(sk4,nil) ),
introduced(definition,[new_symbols(definition,[sQ676_spl])],[split_symbol_definition]) ).
fof(f5592,plain,
( sQ676_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5588,f581,f5589]) ).
fof(f5593,plain,
( app(nil,sk4) = app(sk4,nil)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1018,f3368]) ).
fof(f5594,definition,
( sQ677_spl
<=> app(nil,sk4) = app(sk4,nil) ),
introduced(definition,[new_symbols(definition,[sQ677_spl])],[split_symbol_definition]) ).
fof(f5597,plain,
( sQ677_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5593,f581,f5594]) ).
fof(f5599,plain,
! [X0,X1,X2] :
( ~ sQ90_spl
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ segmentP(X2,app(sk3,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1271,f3329]) ).
fof(f5602,plain,
! [X0,X1] :
( ~ sQ90_spl
| ~ ssList(sk3)
| segmentP(X1,sk3)
| ~ ssList(X1)
| ~ segmentP(X1,app(sk3,X0))
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f5599,f256]) ).
fof(f5603,definition,
! [X0,X1] :
( sQ678_spl
<=> ( segmentP(X1,nil)
| ~ ssList(X1)
| ~ segmentP(X1,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ678_spl])],[split_symbol_definition]) ).
fof(f5608,definition,
! [X0,X1] :
( sQ679_spl
<=> ( segmentP(X1,sk3)
| ~ ssList(X1)
| ~ segmentP(X1,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ679_spl])],[split_symbol_definition]) ).
fof(f5609,plain,
! [X0,X1] :
( ~ sQ679_spl
| segmentP(X1,sk3)
| ~ ssList(X1)
| ~ segmentP(X1,app(sk3,X0))
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f5608]) ).
fof(f5611,plain,
( ~ sQ90_spl
| ~ sQ12_spl
| sQ679_spl ),
inference(split_clause,[status(thm)],[f5602,f5608,f572,f1243]) ).
fof(f5613,plain,
! [X0] :
( ~ sQ271_spl
| ~ ssList(nil)
| rearsegP(skaf67(X0),nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f2860,f257]) ).
fof(f5614,plain,
! [X0,X1,X2] :
( ~ sQ271_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf67(X1),X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2860,f376]) ).
fof(f5616,definition,
! [X0] :
( sQ680_spl
<=> rearsegP(skaf67(X0),nil) ),
introduced(definition,[new_symbols(definition,[sQ680_spl])],[split_symbol_definition]) ).
fof(f5617,plain,
! [X0] :
( ~ sQ680_spl
| rearsegP(skaf67(X0),nil) ),
inference(component_clause,[status(thm)],[f5616]) ).
fof(f5620,plain,
( ~ sQ271_spl
| sQ680_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5613,f581,f5616,f2836]) ).
fof(f5621,definition,
! [X0,X1,X2] :
( sQ681_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf67(X1),X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ681_spl])],[split_symbol_definition]) ).
fof(f5624,plain,
( ~ sQ271_spl
| ~ sQ14_spl
| sQ681_spl ),
inference(split_clause,[status(thm)],[f5614,f5621,f581,f2836]) ).
fof(f5628,plain,
! [X0,X1,X2] :
( ~ sQ680_spl
| ~ ssList(skaf67(X2))
| ~ rearsegP(X1,skaf67(X2))
| nil = X1
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f5617,f861]) ).
fof(f5629,plain,
! [X0,X1,X2] :
( ~ sQ680_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X0)
| X0 = skaf67(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf67(X2))
| ~ rearsegP(X1,skaf67(X2))
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f5617,f861]) ).
fof(f5632,plain,
! [X0,X1] :
( ~ sQ680_spl
| app(X0,skaf67(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf67(X1)))
| ~ ssList(skaf67(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f5617,f3325]) ).
fof(f5633,plain,
! [X0,X1,X2] :
( ~ sQ680_spl
| ~ ssList(skaf67(X2))
| ~ rearsegP(X1,skaf67(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f5617,f852]) ).
fof(f5634,plain,
! [X0] :
( ~ sQ680_spl
| ~ ssList(nil)
| ~ rearsegP(nil,skaf67(X0))
| nil = skaf67(X0)
| ~ ssList(nil)
| ~ ssList(skaf67(X0))
| ~ ssList(skaf67(X0))
| ~ rearsegP(nil,skaf67(X0)) ),
inference(resolution,[status(thm)],[f5617,f852]) ).
fof(f5635,plain,
! [X0,X1,X2] :
( ~ sQ680_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf67(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf67(X1)) ),
inference(resolution,[status(thm)],[f5617,f852]) ).
fof(f5637,plain,
! [X0,X1,X2] :
( ~ sQ680_spl
| ~ ssList(X2)
| ~ rearsegP(X2,skaf67(X1))
| ~ rearsegP(X0,X2)
| nil = skaf67(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf67(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f5617,f852]) ).
fof(f5638,plain,
! [X0,X1] :
( ~ sQ680_spl
| nil = skaf67(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf67(X1))
| ~ rearsegP(X0,skaf67(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f5617,f727]) ).
fof(f5639,plain,
! [X0,X1] :
( ~ sQ680_spl
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf67(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf67(X1)) ),
inference(resolution,[status(thm)],[f5617,f727]) ).
fof(f5640,plain,
! [X0] :
( ~ sQ680_spl
| skaf67(X0) = nil
| ~ ssList(skaf67(X0))
| ~ ssList(nil)
| ~ rearsegP(nil,skaf67(X0)) ),
inference(resolution,[status(thm)],[f5617,f340]) ).
fof(f5645,definition,
! [X0,X1,X2] :
( sQ683_spl
<=> ( ~ ssList(skaf67(X2))
| ~ rearsegP(X1,skaf67(X2))
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ683_spl])],[split_symbol_definition]) ).
fof(f5648,plain,
( ~ sQ680_spl
| ~ sQ14_spl
| sQ683_spl ),
inference(split_clause,[status(thm)],[f5628,f5645,f581,f5616]) ).
fof(f5649,definition,
! [X0,X1,X2] :
( sQ684_spl
<=> ( ~ rearsegP(nil,X0)
| X0 = skaf67(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf67(X2))
| ~ rearsegP(X1,skaf67(X2))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ684_spl])],[split_symbol_definition]) ).
fof(f5652,plain,
( ~ sQ680_spl
| ~ sQ14_spl
| sQ684_spl ),
inference(split_clause,[status(thm)],[f5629,f5649,f581,f5616]) ).
fof(f5655,definition,
! [X0,X1] :
( sQ685_spl
<=> ( app(X0,skaf67(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf67(X1)))
| ~ ssList(skaf67(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ685_spl])],[split_symbol_definition]) ).
fof(f5658,plain,
( ~ sQ680_spl
| ~ sQ14_spl
| sQ685_spl ),
inference(split_clause,[status(thm)],[f5632,f5655,f581,f5616]) ).
fof(f5659,definition,
! [X0,X1,X2] :
( sQ686_spl
<=> ( ~ ssList(skaf67(X2))
| ~ rearsegP(X1,skaf67(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ686_spl])],[split_symbol_definition]) ).
fof(f5662,plain,
( ~ sQ680_spl
| ~ sQ14_spl
| sQ686_spl ),
inference(split_clause,[status(thm)],[f5633,f5659,f581,f5616]) ).
fof(f5663,definition,
! [X0] :
( sQ687_spl
<=> ( ~ rearsegP(nil,skaf67(X0))
| nil = skaf67(X0)
| ~ ssList(skaf67(X0))
| ~ ssList(skaf67(X0))
| ~ rearsegP(nil,skaf67(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ687_spl])],[split_symbol_definition]) ).
fof(f5666,plain,
( ~ sQ680_spl
| ~ sQ14_spl
| sQ687_spl ),
inference(split_clause,[status(thm)],[f5634,f5663,f581,f5616]) ).
fof(f5667,definition,
! [X0,X1,X2] :
( sQ688_spl
<=> ( ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf67(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf67(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ688_spl])],[split_symbol_definition]) ).
fof(f5670,plain,
( ~ sQ680_spl
| ~ sQ14_spl
| sQ688_spl ),
inference(split_clause,[status(thm)],[f5635,f5667,f581,f5616]) ).
fof(f5672,definition,
! [X0,X1,X2] :
( sQ689_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,skaf67(X1))
| ~ rearsegP(X0,X2)
| nil = skaf67(X1)
| ~ ssList(X0)
| ~ ssList(skaf67(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ689_spl])],[split_symbol_definition]) ).
fof(f5675,plain,
( ~ sQ680_spl
| ~ sQ14_spl
| sQ689_spl ),
inference(split_clause,[status(thm)],[f5637,f5672,f581,f5616]) ).
fof(f5676,definition,
! [X0,X1] :
( sQ690_spl
<=> ( nil = skaf67(X1)
| ~ ssList(X0)
| ~ ssList(skaf67(X1))
| ~ rearsegP(X0,skaf67(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ690_spl])],[split_symbol_definition]) ).
fof(f5679,plain,
( ~ sQ680_spl
| ~ sQ14_spl
| sQ690_spl ),
inference(split_clause,[status(thm)],[f5638,f5676,f581,f5616]) ).
fof(f5680,definition,
! [X0,X1] :
( sQ691_spl
<=> ( X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf67(X1))
| ~ rearsegP(X0,skaf67(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ691_spl])],[split_symbol_definition]) ).
fof(f5683,plain,
( ~ sQ680_spl
| ~ sQ14_spl
| sQ691_spl ),
inference(split_clause,[status(thm)],[f5639,f5680,f581,f5616]) ).
fof(f5684,definition,
! [X0] :
( sQ692_spl
<=> ( skaf67(X0) = nil
| ~ ssList(skaf67(X0))
| ~ rearsegP(nil,skaf67(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ692_spl])],[split_symbol_definition]) ).
fof(f5687,plain,
( ~ sQ680_spl
| ~ sQ14_spl
| sQ692_spl ),
inference(split_clause,[status(thm)],[f5640,f5684,f581,f5616]) ).
fof(f5694,plain,
! [X0] :
( ~ sQ280_spl
| ~ ssList(nil)
| rearsegP(skaf68(X0),nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f2926,f257]) ).
fof(f5695,plain,
! [X0,X1,X2] :
( ~ sQ280_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf68(X1),X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2926,f376]) ).
fof(f5697,definition,
! [X0] :
( sQ693_spl
<=> rearsegP(skaf68(X0),nil) ),
introduced(definition,[new_symbols(definition,[sQ693_spl])],[split_symbol_definition]) ).
fof(f5698,plain,
! [X0] :
( ~ sQ693_spl
| rearsegP(skaf68(X0),nil) ),
inference(component_clause,[status(thm)],[f5697]) ).
fof(f5701,plain,
( ~ sQ280_spl
| sQ693_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5694,f581,f5697,f2902]) ).
fof(f5702,definition,
! [X0,X1,X2] :
( sQ694_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf68(X1),X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ694_spl])],[split_symbol_definition]) ).
fof(f5705,plain,
( ~ sQ280_spl
| ~ sQ14_spl
| sQ694_spl ),
inference(split_clause,[status(thm)],[f5695,f5702,f581,f2902]) ).
fof(f5709,plain,
! [X0,X1,X2] :
( ~ sQ693_spl
| ~ ssList(skaf68(X2))
| ~ rearsegP(X1,skaf68(X2))
| nil = X1
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f5698,f861]) ).
fof(f5710,plain,
! [X0,X1,X2] :
( ~ sQ693_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X0)
| X0 = skaf68(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf68(X2))
| ~ rearsegP(X1,skaf68(X2))
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f5698,f861]) ).
fof(f5713,plain,
! [X0,X1] :
( ~ sQ693_spl
| app(X0,skaf68(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf68(X1)))
| ~ ssList(skaf68(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f5698,f3325]) ).
fof(f5714,plain,
! [X0,X1,X2] :
( ~ sQ693_spl
| ~ ssList(skaf68(X2))
| ~ rearsegP(X1,skaf68(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f5698,f852]) ).
fof(f5715,plain,
! [X0] :
( ~ sQ693_spl
| ~ ssList(nil)
| ~ rearsegP(nil,skaf68(X0))
| nil = skaf68(X0)
| ~ ssList(nil)
| ~ ssList(skaf68(X0))
| ~ ssList(skaf68(X0))
| ~ rearsegP(nil,skaf68(X0)) ),
inference(resolution,[status(thm)],[f5698,f852]) ).
fof(f5716,plain,
! [X0,X1,X2] :
( ~ sQ693_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf68(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf68(X1)) ),
inference(resolution,[status(thm)],[f5698,f852]) ).
fof(f5718,plain,
! [X0,X1,X2] :
( ~ sQ693_spl
| ~ ssList(X2)
| ~ rearsegP(X2,skaf68(X1))
| ~ rearsegP(X0,X2)
| nil = skaf68(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf68(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f5698,f852]) ).
fof(f5719,plain,
! [X0,X1] :
( ~ sQ693_spl
| nil = skaf68(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf68(X1))
| ~ rearsegP(X0,skaf68(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f5698,f727]) ).
fof(f5720,plain,
! [X0,X1] :
( ~ sQ693_spl
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf68(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf68(X1)) ),
inference(resolution,[status(thm)],[f5698,f727]) ).
fof(f5721,plain,
! [X0] :
( ~ sQ693_spl
| skaf68(X0) = nil
| ~ ssList(skaf68(X0))
| ~ ssList(nil)
| ~ rearsegP(nil,skaf68(X0)) ),
inference(resolution,[status(thm)],[f5698,f340]) ).
fof(f5726,definition,
! [X0,X1,X2] :
( sQ696_spl
<=> ( ~ ssList(skaf68(X2))
| ~ rearsegP(X1,skaf68(X2))
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ696_spl])],[split_symbol_definition]) ).
fof(f5729,plain,
( ~ sQ693_spl
| ~ sQ14_spl
| sQ696_spl ),
inference(split_clause,[status(thm)],[f5709,f5726,f581,f5697]) ).
fof(f5730,definition,
! [X0,X1,X2] :
( sQ697_spl
<=> ( ~ rearsegP(nil,X0)
| X0 = skaf68(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf68(X2))
| ~ rearsegP(X1,skaf68(X2))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ697_spl])],[split_symbol_definition]) ).
fof(f5733,plain,
( ~ sQ693_spl
| ~ sQ14_spl
| sQ697_spl ),
inference(split_clause,[status(thm)],[f5710,f5730,f581,f5697]) ).
fof(f5736,definition,
! [X0,X1] :
( sQ698_spl
<=> ( app(X0,skaf68(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf68(X1)))
| ~ ssList(skaf68(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ698_spl])],[split_symbol_definition]) ).
fof(f5739,plain,
( ~ sQ693_spl
| ~ sQ14_spl
| sQ698_spl ),
inference(split_clause,[status(thm)],[f5713,f5736,f581,f5697]) ).
fof(f5740,definition,
! [X0,X1,X2] :
( sQ699_spl
<=> ( ~ ssList(skaf68(X2))
| ~ rearsegP(X1,skaf68(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ699_spl])],[split_symbol_definition]) ).
fof(f5743,plain,
( ~ sQ693_spl
| ~ sQ14_spl
| sQ699_spl ),
inference(split_clause,[status(thm)],[f5714,f5740,f581,f5697]) ).
fof(f5744,definition,
! [X0] :
( sQ700_spl
<=> ( ~ rearsegP(nil,skaf68(X0))
| nil = skaf68(X0)
| ~ ssList(skaf68(X0))
| ~ ssList(skaf68(X0))
| ~ rearsegP(nil,skaf68(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ700_spl])],[split_symbol_definition]) ).
fof(f5747,plain,
( ~ sQ693_spl
| ~ sQ14_spl
| sQ700_spl ),
inference(split_clause,[status(thm)],[f5715,f5744,f581,f5697]) ).
fof(f5748,definition,
! [X0,X1,X2] :
( sQ701_spl
<=> ( ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf68(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf68(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ701_spl])],[split_symbol_definition]) ).
fof(f5751,plain,
( ~ sQ693_spl
| ~ sQ14_spl
| sQ701_spl ),
inference(split_clause,[status(thm)],[f5716,f5748,f581,f5697]) ).
fof(f5753,definition,
! [X0,X1,X2] :
( sQ702_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,skaf68(X1))
| ~ rearsegP(X0,X2)
| nil = skaf68(X1)
| ~ ssList(X0)
| ~ ssList(skaf68(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ702_spl])],[split_symbol_definition]) ).
fof(f5756,plain,
( ~ sQ693_spl
| ~ sQ14_spl
| sQ702_spl ),
inference(split_clause,[status(thm)],[f5718,f5753,f581,f5697]) ).
fof(f5757,definition,
! [X0,X1] :
( sQ703_spl
<=> ( nil = skaf68(X1)
| ~ ssList(X0)
| ~ ssList(skaf68(X1))
| ~ rearsegP(X0,skaf68(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ703_spl])],[split_symbol_definition]) ).
fof(f5760,plain,
( ~ sQ693_spl
| ~ sQ14_spl
| sQ703_spl ),
inference(split_clause,[status(thm)],[f5719,f5757,f581,f5697]) ).
fof(f5761,definition,
! [X0,X1] :
( sQ704_spl
<=> ( X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf68(X1))
| ~ rearsegP(X0,skaf68(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ704_spl])],[split_symbol_definition]) ).
fof(f5764,plain,
( ~ sQ693_spl
| ~ sQ14_spl
| sQ704_spl ),
inference(split_clause,[status(thm)],[f5720,f5761,f581,f5697]) ).
fof(f5765,definition,
! [X0] :
( sQ705_spl
<=> ( skaf68(X0) = nil
| ~ ssList(skaf68(X0))
| ~ rearsegP(nil,skaf68(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ705_spl])],[split_symbol_definition]) ).
fof(f5768,plain,
( ~ sQ693_spl
| ~ sQ14_spl
| sQ705_spl ),
inference(split_clause,[status(thm)],[f5721,f5765,f581,f5697]) ).
fof(f5775,plain,
! [X0] :
( ~ sQ289_spl
| ~ ssList(nil)
| rearsegP(skaf71(X0),nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f2992,f257]) ).
fof(f5776,plain,
! [X0,X1,X2] :
( ~ sQ289_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf71(X1),X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2992,f376]) ).
fof(f5778,definition,
! [X0] :
( sQ706_spl
<=> rearsegP(skaf71(X0),nil) ),
introduced(definition,[new_symbols(definition,[sQ706_spl])],[split_symbol_definition]) ).
fof(f5779,plain,
! [X0] :
( ~ sQ706_spl
| rearsegP(skaf71(X0),nil) ),
inference(component_clause,[status(thm)],[f5778]) ).
fof(f5782,plain,
( ~ sQ289_spl
| sQ706_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5775,f581,f5778,f2968]) ).
fof(f5783,definition,
! [X0,X1,X2] :
( sQ707_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf71(X1),X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ707_spl])],[split_symbol_definition]) ).
fof(f5786,plain,
( ~ sQ289_spl
| ~ sQ14_spl
| sQ707_spl ),
inference(split_clause,[status(thm)],[f5776,f5783,f581,f2968]) ).
fof(f5790,plain,
! [X0,X1,X2] :
( ~ sQ706_spl
| ~ ssList(skaf71(X2))
| ~ rearsegP(X1,skaf71(X2))
| nil = X1
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f5779,f861]) ).
fof(f5791,plain,
! [X0,X1,X2] :
( ~ sQ706_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X0)
| X0 = skaf71(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf71(X2))
| ~ rearsegP(X1,skaf71(X2))
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f5779,f861]) ).
fof(f5794,plain,
! [X0,X1] :
( ~ sQ706_spl
| app(X0,skaf71(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf71(X1)))
| ~ ssList(skaf71(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f5779,f3325]) ).
fof(f5795,plain,
! [X0,X1,X2] :
( ~ sQ706_spl
| ~ ssList(skaf71(X2))
| ~ rearsegP(X1,skaf71(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f5779,f852]) ).
fof(f5796,plain,
! [X0] :
( ~ sQ706_spl
| ~ ssList(nil)
| ~ rearsegP(nil,skaf71(X0))
| nil = skaf71(X0)
| ~ ssList(nil)
| ~ ssList(skaf71(X0))
| ~ ssList(skaf71(X0))
| ~ rearsegP(nil,skaf71(X0)) ),
inference(resolution,[status(thm)],[f5779,f852]) ).
fof(f5797,plain,
! [X0,X1,X2] :
( ~ sQ706_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf71(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf71(X1)) ),
inference(resolution,[status(thm)],[f5779,f852]) ).
fof(f5799,plain,
! [X0,X1,X2] :
( ~ sQ706_spl
| ~ ssList(X2)
| ~ rearsegP(X2,skaf71(X1))
| ~ rearsegP(X0,X2)
| nil = skaf71(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf71(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f5779,f852]) ).
fof(f5800,plain,
! [X0,X1] :
( ~ sQ706_spl
| nil = skaf71(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf71(X1))
| ~ rearsegP(X0,skaf71(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f5779,f727]) ).
fof(f5801,plain,
! [X0,X1] :
( ~ sQ706_spl
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf71(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf71(X1)) ),
inference(resolution,[status(thm)],[f5779,f727]) ).
fof(f5802,plain,
! [X0] :
( ~ sQ706_spl
| skaf71(X0) = nil
| ~ ssList(skaf71(X0))
| ~ ssList(nil)
| ~ rearsegP(nil,skaf71(X0)) ),
inference(resolution,[status(thm)],[f5779,f340]) ).
fof(f5807,definition,
! [X0,X1,X2] :
( sQ709_spl
<=> ( ~ ssList(skaf71(X2))
| ~ rearsegP(X1,skaf71(X2))
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ709_spl])],[split_symbol_definition]) ).
fof(f5810,plain,
( ~ sQ706_spl
| ~ sQ14_spl
| sQ709_spl ),
inference(split_clause,[status(thm)],[f5790,f5807,f581,f5778]) ).
fof(f5811,definition,
! [X0,X1,X2] :
( sQ710_spl
<=> ( ~ rearsegP(nil,X0)
| X0 = skaf71(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf71(X2))
| ~ rearsegP(X1,skaf71(X2))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ710_spl])],[split_symbol_definition]) ).
fof(f5814,plain,
( ~ sQ706_spl
| ~ sQ14_spl
| sQ710_spl ),
inference(split_clause,[status(thm)],[f5791,f5811,f581,f5778]) ).
fof(f5817,definition,
! [X0,X1] :
( sQ711_spl
<=> ( app(X0,skaf71(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf71(X1)))
| ~ ssList(skaf71(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ711_spl])],[split_symbol_definition]) ).
fof(f5820,plain,
( ~ sQ706_spl
| ~ sQ14_spl
| sQ711_spl ),
inference(split_clause,[status(thm)],[f5794,f5817,f581,f5778]) ).
fof(f5821,definition,
! [X0,X1,X2] :
( sQ712_spl
<=> ( ~ ssList(skaf71(X2))
| ~ rearsegP(X1,skaf71(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ712_spl])],[split_symbol_definition]) ).
fof(f5824,plain,
( ~ sQ706_spl
| ~ sQ14_spl
| sQ712_spl ),
inference(split_clause,[status(thm)],[f5795,f5821,f581,f5778]) ).
fof(f5825,definition,
! [X0] :
( sQ713_spl
<=> ( ~ rearsegP(nil,skaf71(X0))
| nil = skaf71(X0)
| ~ ssList(skaf71(X0))
| ~ ssList(skaf71(X0))
| ~ rearsegP(nil,skaf71(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ713_spl])],[split_symbol_definition]) ).
fof(f5828,plain,
( ~ sQ706_spl
| ~ sQ14_spl
| sQ713_spl ),
inference(split_clause,[status(thm)],[f5796,f5825,f581,f5778]) ).
fof(f5829,definition,
! [X0,X1,X2] :
( sQ714_spl
<=> ( ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf71(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf71(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ714_spl])],[split_symbol_definition]) ).
fof(f5832,plain,
( ~ sQ706_spl
| ~ sQ14_spl
| sQ714_spl ),
inference(split_clause,[status(thm)],[f5797,f5829,f581,f5778]) ).
fof(f5834,definition,
! [X0,X1,X2] :
( sQ715_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,skaf71(X1))
| ~ rearsegP(X0,X2)
| nil = skaf71(X1)
| ~ ssList(X0)
| ~ ssList(skaf71(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ715_spl])],[split_symbol_definition]) ).
fof(f5837,plain,
( ~ sQ706_spl
| ~ sQ14_spl
| sQ715_spl ),
inference(split_clause,[status(thm)],[f5799,f5834,f581,f5778]) ).
fof(f5838,definition,
! [X0,X1] :
( sQ716_spl
<=> ( nil = skaf71(X1)
| ~ ssList(X0)
| ~ ssList(skaf71(X1))
| ~ rearsegP(X0,skaf71(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ716_spl])],[split_symbol_definition]) ).
fof(f5841,plain,
( ~ sQ706_spl
| ~ sQ14_spl
| sQ716_spl ),
inference(split_clause,[status(thm)],[f5800,f5838,f581,f5778]) ).
fof(f5842,definition,
! [X0,X1] :
( sQ717_spl
<=> ( X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf71(X1))
| ~ rearsegP(X0,skaf71(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ717_spl])],[split_symbol_definition]) ).
fof(f5845,plain,
( ~ sQ706_spl
| ~ sQ14_spl
| sQ717_spl ),
inference(split_clause,[status(thm)],[f5801,f5842,f581,f5778]) ).
fof(f5846,definition,
! [X0] :
( sQ718_spl
<=> ( skaf71(X0) = nil
| ~ ssList(skaf71(X0))
| ~ rearsegP(nil,skaf71(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ718_spl])],[split_symbol_definition]) ).
fof(f5849,plain,
( ~ sQ706_spl
| ~ sQ14_spl
| sQ718_spl ),
inference(split_clause,[status(thm)],[f5802,f5846,f581,f5778]) ).
fof(f5856,plain,
! [X0] :
( ~ sQ298_spl
| ~ ssList(nil)
| rearsegP(skaf72(X0),nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f3058,f257]) ).
fof(f5857,plain,
! [X0,X1,X2] :
( ~ sQ298_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf72(X1),X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3058,f376]) ).
fof(f5859,definition,
! [X0] :
( sQ719_spl
<=> rearsegP(skaf72(X0),nil) ),
introduced(definition,[new_symbols(definition,[sQ719_spl])],[split_symbol_definition]) ).
fof(f5860,plain,
! [X0] :
( ~ sQ719_spl
| rearsegP(skaf72(X0),nil) ),
inference(component_clause,[status(thm)],[f5859]) ).
fof(f5863,plain,
( ~ sQ298_spl
| sQ719_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5856,f581,f5859,f3034]) ).
fof(f5864,definition,
! [X0,X1,X2] :
( sQ720_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf72(X1),X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ720_spl])],[split_symbol_definition]) ).
fof(f5867,plain,
( ~ sQ298_spl
| ~ sQ14_spl
| sQ720_spl ),
inference(split_clause,[status(thm)],[f5857,f5864,f581,f3034]) ).
fof(f5871,plain,
! [X0,X1,X2] :
( ~ sQ719_spl
| ~ ssList(skaf72(X2))
| ~ rearsegP(X1,skaf72(X2))
| nil = X1
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f5860,f861]) ).
fof(f5872,plain,
! [X0,X1,X2] :
( ~ sQ719_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X0)
| X0 = skaf72(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf72(X2))
| ~ rearsegP(X1,skaf72(X2))
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f5860,f861]) ).
fof(f5875,plain,
! [X0,X1] :
( ~ sQ719_spl
| app(X0,skaf72(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf72(X1)))
| ~ ssList(skaf72(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f5860,f3325]) ).
fof(f5876,plain,
! [X0,X1,X2] :
( ~ sQ719_spl
| ~ ssList(skaf72(X2))
| ~ rearsegP(X1,skaf72(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f5860,f852]) ).
fof(f5877,plain,
! [X0] :
( ~ sQ719_spl
| ~ ssList(nil)
| ~ rearsegP(nil,skaf72(X0))
| nil = skaf72(X0)
| ~ ssList(nil)
| ~ ssList(skaf72(X0))
| ~ ssList(skaf72(X0))
| ~ rearsegP(nil,skaf72(X0)) ),
inference(resolution,[status(thm)],[f5860,f852]) ).
fof(f5878,plain,
! [X0,X1,X2] :
( ~ sQ719_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf72(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf72(X1)) ),
inference(resolution,[status(thm)],[f5860,f852]) ).
fof(f5880,plain,
! [X0,X1,X2] :
( ~ sQ719_spl
| ~ ssList(X2)
| ~ rearsegP(X2,skaf72(X1))
| ~ rearsegP(X0,X2)
| nil = skaf72(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf72(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f5860,f852]) ).
fof(f5881,plain,
! [X0,X1] :
( ~ sQ719_spl
| nil = skaf72(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf72(X1))
| ~ rearsegP(X0,skaf72(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f5860,f727]) ).
fof(f5882,plain,
! [X0,X1] :
( ~ sQ719_spl
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf72(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf72(X1)) ),
inference(resolution,[status(thm)],[f5860,f727]) ).
fof(f5883,plain,
! [X0] :
( ~ sQ719_spl
| skaf72(X0) = nil
| ~ ssList(skaf72(X0))
| ~ ssList(nil)
| ~ rearsegP(nil,skaf72(X0)) ),
inference(resolution,[status(thm)],[f5860,f340]) ).
fof(f5888,definition,
! [X0,X1,X2] :
( sQ722_spl
<=> ( ~ ssList(skaf72(X2))
| ~ rearsegP(X1,skaf72(X2))
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ722_spl])],[split_symbol_definition]) ).
fof(f5891,plain,
( ~ sQ719_spl
| ~ sQ14_spl
| sQ722_spl ),
inference(split_clause,[status(thm)],[f5871,f5888,f581,f5859]) ).
fof(f5892,definition,
! [X0,X1,X2] :
( sQ723_spl
<=> ( ~ rearsegP(nil,X0)
| X0 = skaf72(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf72(X2))
| ~ rearsegP(X1,skaf72(X2))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ723_spl])],[split_symbol_definition]) ).
fof(f5895,plain,
( ~ sQ719_spl
| ~ sQ14_spl
| sQ723_spl ),
inference(split_clause,[status(thm)],[f5872,f5892,f581,f5859]) ).
fof(f5898,definition,
! [X0,X1] :
( sQ724_spl
<=> ( app(X0,skaf72(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf72(X1)))
| ~ ssList(skaf72(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ724_spl])],[split_symbol_definition]) ).
fof(f5901,plain,
( ~ sQ719_spl
| ~ sQ14_spl
| sQ724_spl ),
inference(split_clause,[status(thm)],[f5875,f5898,f581,f5859]) ).
fof(f5902,definition,
! [X0,X1,X2] :
( sQ725_spl
<=> ( ~ ssList(skaf72(X2))
| ~ rearsegP(X1,skaf72(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ725_spl])],[split_symbol_definition]) ).
fof(f5905,plain,
( ~ sQ719_spl
| ~ sQ14_spl
| sQ725_spl ),
inference(split_clause,[status(thm)],[f5876,f5902,f581,f5859]) ).
fof(f5906,definition,
! [X0] :
( sQ726_spl
<=> ( ~ rearsegP(nil,skaf72(X0))
| nil = skaf72(X0)
| ~ ssList(skaf72(X0))
| ~ ssList(skaf72(X0))
| ~ rearsegP(nil,skaf72(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ726_spl])],[split_symbol_definition]) ).
fof(f5909,plain,
( ~ sQ719_spl
| ~ sQ14_spl
| sQ726_spl ),
inference(split_clause,[status(thm)],[f5877,f5906,f581,f5859]) ).
fof(f5910,definition,
! [X0,X1,X2] :
( sQ727_spl
<=> ( ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf72(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf72(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ727_spl])],[split_symbol_definition]) ).
fof(f5913,plain,
( ~ sQ719_spl
| ~ sQ14_spl
| sQ727_spl ),
inference(split_clause,[status(thm)],[f5878,f5910,f581,f5859]) ).
fof(f5915,definition,
! [X0,X1,X2] :
( sQ728_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,skaf72(X1))
| ~ rearsegP(X0,X2)
| nil = skaf72(X1)
| ~ ssList(X0)
| ~ ssList(skaf72(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ728_spl])],[split_symbol_definition]) ).
fof(f5918,plain,
( ~ sQ719_spl
| ~ sQ14_spl
| sQ728_spl ),
inference(split_clause,[status(thm)],[f5880,f5915,f581,f5859]) ).
fof(f5919,definition,
! [X0,X1] :
( sQ729_spl
<=> ( nil = skaf72(X1)
| ~ ssList(X0)
| ~ ssList(skaf72(X1))
| ~ rearsegP(X0,skaf72(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ729_spl])],[split_symbol_definition]) ).
fof(f5922,plain,
( ~ sQ719_spl
| ~ sQ14_spl
| sQ729_spl ),
inference(split_clause,[status(thm)],[f5881,f5919,f581,f5859]) ).
fof(f5923,definition,
! [X0,X1] :
( sQ730_spl
<=> ( X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf72(X1))
| ~ rearsegP(X0,skaf72(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ730_spl])],[split_symbol_definition]) ).
fof(f5926,plain,
( ~ sQ719_spl
| ~ sQ14_spl
| sQ730_spl ),
inference(split_clause,[status(thm)],[f5882,f5923,f581,f5859]) ).
fof(f5927,definition,
! [X0] :
( sQ731_spl
<=> ( skaf72(X0) = nil
| ~ ssList(skaf72(X0))
| ~ rearsegP(nil,skaf72(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ731_spl])],[split_symbol_definition]) ).
fof(f5930,plain,
( ~ sQ719_spl
| ~ sQ14_spl
| sQ731_spl ),
inference(split_clause,[status(thm)],[f5883,f5927,f581,f5859]) ).
fof(f5937,plain,
! [X0] :
( ~ sQ77_spl
| ~ ssList(nil)
| segmentP(app(nil,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1125,f255]) ).
fof(f5939,definition,
! [X0] :
( sQ732_spl
<=> ( segmentP(app(nil,X0),nil)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ732_spl])],[split_symbol_definition]) ).
fof(f5940,plain,
! [X0] :
( ~ sQ732_spl
| segmentP(app(nil,X0),nil)
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f5939]) ).
fof(f5943,plain,
( ~ sQ77_spl
| ~ sQ14_spl
| sQ732_spl ),
inference(split_clause,[status(thm)],[f5937,f5939,f581,f1124]) ).
fof(f5945,plain,
! [X0] :
( ~ sQ93_spl
| segmentP(app(sk3,X0),sk3)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1274,f3329]) ).
fof(f5946,plain,
! [X0,X1] :
( ~ sQ93_spl
| segmentP(X1,sk3)
| ~ ssList(X1)
| ~ ssList(app(sk3,X0))
| ~ ssList(sk3)
| ~ segmentP(X1,app(sk3,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f5945,f374]) ).
fof(f5947,plain,
! [X0] :
( ~ sQ93_spl
| app(sk3,X0) = sk3
| ~ ssList(app(sk3,X0))
| ~ ssList(sk3)
| ~ segmentP(sk3,app(sk3,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f5945,f339]) ).
fof(f5948,plain,
( ~ sQ93_spl
| segmentP(sk3,sk3)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f989,f5945]) ).
fof(f5949,definition,
! [X0,X1] :
( sQ733_spl
<=> ( segmentP(X1,sk3)
| ~ ssList(X1)
| ~ ssList(app(sk3,X0))
| ~ segmentP(X1,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ733_spl])],[split_symbol_definition]) ).
fof(f5952,plain,
( ~ sQ93_spl
| ~ sQ12_spl
| sQ733_spl ),
inference(split_clause,[status(thm)],[f5946,f5949,f572,f1255]) ).
fof(f5953,definition,
! [X0] :
( sQ734_spl
<=> ( app(sk3,X0) = sk3
| ~ ssList(app(sk3,X0))
| ~ segmentP(sk3,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ734_spl])],[split_symbol_definition]) ).
fof(f5956,plain,
( ~ sQ93_spl
| ~ sQ12_spl
| sQ734_spl ),
inference(split_clause,[status(thm)],[f5947,f5953,f572,f1255]) ).
fof(f5957,definition,
( sQ735_spl
<=> segmentP(sk3,sk3) ),
introduced(definition,[new_symbols(definition,[sQ735_spl])],[split_symbol_definition]) ).
fof(f5958,plain,
( ~ sQ735_spl
| segmentP(sk3,sk3) ),
inference(component_clause,[status(thm)],[f5957]) ).
fof(f5960,plain,
( ~ sQ93_spl
| sQ735_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5948,f581,f5957,f1255]) ).
fof(f5966,plain,
( ~ sQ735_spl
| sk3 = sk3
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ segmentP(sk3,sk3) ),
inference(resolution,[status(thm)],[f5958,f339]) ).
fof(f5969,definition,
! [X0] :
( sQ736_spl
<=> ( segmentP(X0,sk3)
| ~ ssList(X0)
| ~ segmentP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ736_spl])],[split_symbol_definition]) ).
fof(f5973,plain,
( sQ98_spl
| ~ sQ12_spl
| ~ sQ735_spl ),
inference(split_clause,[status(thm)],[f5966,f5957,f572,f1296]) ).
fof(f5975,plain,
! [X0] :
( app(nil,skaf82(X0)) = skaf82(X0)
| ~ rearsegP(skaf82(X0),skaf82(X0))
| ~ ssList(skaf82(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1234,f3457]) ).
fof(f5976,plain,
! [X0] :
( rearsegP(skaf82(X0),skaf82(X0))
| ~ ssList(skaf82(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1234,f3326]) ).
fof(f5977,plain,
! [X0,X1,X2] :
( app(app(nil,skaf82(X0)),X2) = X1
| ~ ssList(app(skaf82(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf82(X0)),X2))
| ~ ssList(skaf82(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf82(X0),X1) ),
inference(paramodulation,[status(thm)],[f1234,f742]) ).
fof(f5978,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf82(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf82(X0)),X2))
| ~ ssList(skaf82(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf82(X0),X1) ),
inference(paramodulation,[status(thm)],[f1234,f741]) ).
fof(f5979,plain,
! [X0,X1] :
( segmentP(app(app(nil,skaf82(X1)),X0),skaf82(X1))
| ~ ssList(app(skaf82(X1),X0))
| ~ ssList(skaf82(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1234,f501]) ).
fof(f5980,plain,
! [X0,X1,X2] :
( segmentP(app(skaf82(X0),X2),X1)
| ~ ssList(skaf82(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ segmentP(skaf82(X0),X1) ),
inference(paramodulation,[status(thm)],[f1234,f404]) ).
fof(f5981,plain,
! [X0,X1] :
( rearsegP(skaf82(X0),X1)
| ~ ssList(skaf82(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(skaf82(X0),X1) ),
inference(paramodulation,[status(thm)],[f1234,f350]) ).
fof(f5982,definition,
! [X0] :
( sQ737_spl
<=> ( app(nil,skaf82(X0)) = skaf82(X0)
| ~ rearsegP(skaf82(X0),skaf82(X0))
| ~ ssList(skaf82(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ737_spl])],[split_symbol_definition]) ).
fof(f5985,plain,
( sQ737_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5975,f581,f5982]) ).
fof(f5986,definition,
! [X0] :
( sQ738_spl
<=> ( rearsegP(skaf82(X0),skaf82(X0))
| ~ ssList(skaf82(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ738_spl])],[split_symbol_definition]) ).
fof(f5989,plain,
( sQ738_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f5976,f581,f5986]) ).
fof(f5990,definition,
! [X0,X1,X2] :
( sQ739_spl
<=> ( app(app(nil,skaf82(X0)),X2) = X1
| ~ ssList(app(skaf82(X0),X2))
| ~ segmentP(X1,app(app(nil,skaf82(X0)),X2))
| ~ ssList(skaf82(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf82(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ739_spl])],[split_symbol_definition]) ).
fof(f5993,plain,
( ~ sQ14_spl
| sQ739_spl ),
inference(split_clause,[status(thm)],[f5977,f5990,f581]) ).
fof(f5994,definition,
! [X0,X1,X2,X3] :
( sQ740_spl
<=> ( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(skaf82(X0),X2))
| ~ segmentP(X3,app(app(nil,skaf82(X0)),X2))
| ~ ssList(skaf82(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf82(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ740_spl])],[split_symbol_definition]) ).
fof(f5997,plain,
( ~ sQ14_spl
| sQ740_spl ),
inference(split_clause,[status(thm)],[f5978,f5994,f581]) ).
fof(f5998,definition,
! [X0,X1] :
( sQ741_spl
<=> ( segmentP(app(app(nil,skaf82(X1)),X0),skaf82(X1))
| ~ ssList(app(skaf82(X1),X0))
| ~ ssList(skaf82(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ741_spl])],[split_symbol_definition]) ).
fof(f6001,plain,
( ~ sQ14_spl
| sQ741_spl ),
inference(split_clause,[status(thm)],[f5979,f5998,f581]) ).
fof(f6002,definition,
! [X0,X1,X2] :
( sQ742_spl
<=> ( segmentP(app(skaf82(X0),X2),X1)
| ~ ssList(skaf82(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf82(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ742_spl])],[split_symbol_definition]) ).
fof(f6005,plain,
( ~ sQ14_spl
| sQ742_spl ),
inference(split_clause,[status(thm)],[f5980,f6002,f581]) ).
fof(f6006,definition,
! [X0,X1] :
( sQ743_spl
<=> ( rearsegP(skaf82(X0),X1)
| ~ ssList(skaf82(X0))
| ~ ssList(X1)
| ~ rearsegP(skaf82(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ743_spl])],[split_symbol_definition]) ).
fof(f6009,plain,
( ~ sQ14_spl
| sQ743_spl ),
inference(split_clause,[status(thm)],[f5981,f6006,f581]) ).
fof(f6054,plain,
! [X0] :
( ~ sQ94_spl
| segmentP(sk3,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(sk3,X0) ),
inference(paramodulation,[status(thm)],[f989,f1260]) ).
fof(f6058,definition,
! [X0] :
( sQ744_spl
<=> ( segmentP(sk3,X0)
| ~ ssList(X0)
| ~ segmentP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ744_spl])],[split_symbol_definition]) ).
fof(f6061,plain,
( ~ sQ94_spl
| ~ sQ14_spl
| sQ744_spl ),
inference(split_clause,[status(thm)],[f6054,f6058,f581,f1259]) ).
fof(f6062,plain,
! [X0] :
( ~ sQ108_spl
| segmentP(app(sk4,X0),sk4)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1366,f3357]) ).
fof(f6063,plain,
! [X0,X1] :
( ~ sQ108_spl
| segmentP(X1,sk4)
| ~ ssList(X1)
| ~ ssList(app(sk4,X0))
| ~ ssList(sk4)
| ~ segmentP(X1,app(sk4,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f6062,f374]) ).
fof(f6064,plain,
! [X0] :
( ~ sQ108_spl
| app(sk4,X0) = sk4
| ~ ssList(app(sk4,X0))
| ~ ssList(sk4)
| ~ segmentP(sk4,app(sk4,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f6062,f339]) ).
fof(f6065,plain,
( ~ sQ108_spl
| segmentP(sk4,sk4)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1018,f6062]) ).
fof(f6066,definition,
! [X0,X1] :
( sQ745_spl
<=> ( segmentP(X1,sk4)
| ~ ssList(X1)
| ~ ssList(app(sk4,X0))
| ~ segmentP(X1,app(sk4,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ745_spl])],[split_symbol_definition]) ).
fof(f6069,plain,
( ~ sQ108_spl
| ~ sQ10_spl
| sQ745_spl ),
inference(split_clause,[status(thm)],[f6063,f6066,f554,f1347]) ).
fof(f6070,definition,
! [X0] :
( sQ746_spl
<=> ( app(sk4,X0) = sk4
| ~ ssList(app(sk4,X0))
| ~ segmentP(sk4,app(sk4,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ746_spl])],[split_symbol_definition]) ).
fof(f6073,plain,
( ~ sQ108_spl
| ~ sQ10_spl
| sQ746_spl ),
inference(split_clause,[status(thm)],[f6064,f6070,f554,f1347]) ).
fof(f6074,definition,
( sQ747_spl
<=> segmentP(sk4,sk4) ),
introduced(definition,[new_symbols(definition,[sQ747_spl])],[split_symbol_definition]) ).
fof(f6075,plain,
( ~ sQ747_spl
| segmentP(sk4,sk4) ),
inference(component_clause,[status(thm)],[f6074]) ).
fof(f6077,plain,
( ~ sQ108_spl
| sQ747_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f6065,f581,f6074,f1347]) ).
fof(f6080,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ segmentP(X2,app(sk4,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1363,f3357]) ).
fof(f6083,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ ssList(sk4)
| segmentP(X1,sk4)
| ~ ssList(X1)
| ~ segmentP(X1,app(sk4,X0))
| ~ ssList(sk4)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f6080,f256]) ).
fof(f6086,definition,
! [X0,X1] :
( sQ748_spl
<=> ( segmentP(X1,sk4)
| ~ ssList(X1)
| ~ segmentP(X1,app(sk4,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ748_spl])],[split_symbol_definition]) ).
fof(f6089,plain,
( ~ sQ104_spl
| ~ sQ10_spl
| sQ748_spl ),
inference(split_clause,[status(thm)],[f6083,f6086,f554,f1332]) ).
fof(f6091,plain,
! [X0] :
( ~ sQ747_spl
| segmentP(X0,sk4)
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(sk4)
| ~ segmentP(X0,sk4) ),
inference(resolution,[status(thm)],[f6075,f374]) ).
fof(f6092,plain,
( ~ sQ747_spl
| sk4 = sk4
| ~ ssList(sk4)
| ~ ssList(sk4)
| ~ segmentP(sk4,sk4) ),
inference(resolution,[status(thm)],[f6075,f339]) ).
fof(f6094,definition,
! [X0] :
( sQ749_spl
<=> ( segmentP(X0,sk4)
| ~ ssList(X0)
| ~ segmentP(X0,sk4) ) ),
introduced(definition,[new_symbols(definition,[sQ749_spl])],[split_symbol_definition]) ).
fof(f6097,plain,
( ~ sQ747_spl
| ~ sQ10_spl
| sQ749_spl ),
inference(split_clause,[status(thm)],[f6091,f6094,f554,f6074]) ).
fof(f6098,plain,
( sQ11_spl
| ~ sQ10_spl
| ~ sQ747_spl ),
inference(split_clause,[status(thm)],[f6092,f6074,f554,f557]) ).
fof(f6099,plain,
! [X0,X1] :
( ~ sQ732_spl
| segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(app(nil,X0))
| ~ ssList(nil)
| ~ segmentP(X1,app(nil,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f5940,f374]) ).
fof(f6100,plain,
! [X0] :
( ~ sQ732_spl
| app(nil,X0) = nil
| ~ ssList(app(nil,X0))
| ~ ssList(nil)
| ~ segmentP(nil,app(nil,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f5940,f339]) ).
fof(f6125,definition,
! [X0,X1] :
( sQ750_spl
<=> ( segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(app(nil,X0))
| ~ segmentP(X1,app(nil,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ750_spl])],[split_symbol_definition]) ).
fof(f6128,plain,
( ~ sQ732_spl
| ~ sQ14_spl
| sQ750_spl ),
inference(split_clause,[status(thm)],[f6099,f6125,f581,f5939]) ).
fof(f6129,definition,
! [X0] :
( sQ751_spl
<=> ( app(nil,X0) = nil
| ~ ssList(app(nil,X0))
| ~ segmentP(nil,app(nil,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ751_spl])],[split_symbol_definition]) ).
fof(f6132,plain,
( ~ sQ732_spl
| ~ sQ14_spl
| sQ751_spl ),
inference(split_clause,[status(thm)],[f6100,f6129,f581,f5939]) ).
fof(f6137,plain,
! [X0] :
( ~ sQ307_spl
| ~ ssList(nil)
| rearsegP(skaf73(X0),nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f3124,f257]) ).
fof(f6138,plain,
! [X0,X1,X2] :
( ~ sQ307_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf73(X1),X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3124,f376]) ).
fof(f6140,definition,
! [X0] :
( sQ752_spl
<=> rearsegP(skaf73(X0),nil) ),
introduced(definition,[new_symbols(definition,[sQ752_spl])],[split_symbol_definition]) ).
fof(f6141,plain,
! [X0] :
( ~ sQ752_spl
| rearsegP(skaf73(X0),nil) ),
inference(component_clause,[status(thm)],[f6140]) ).
fof(f6144,plain,
( ~ sQ307_spl
| sQ752_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f6137,f581,f6140,f3100]) ).
fof(f6145,definition,
! [X0,X1,X2] :
( sQ753_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf73(X1),X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ753_spl])],[split_symbol_definition]) ).
fof(f6148,plain,
( ~ sQ307_spl
| ~ sQ14_spl
| sQ753_spl ),
inference(split_clause,[status(thm)],[f6138,f6145,f581,f3100]) ).
fof(f6152,plain,
! [X0,X1,X2] :
( ~ sQ752_spl
| ~ ssList(skaf73(X2))
| ~ rearsegP(X1,skaf73(X2))
| nil = X1
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f6141,f861]) ).
fof(f6153,plain,
! [X0,X1,X2] :
( ~ sQ752_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X0)
| X0 = skaf73(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf73(X2))
| ~ rearsegP(X1,skaf73(X2))
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f6141,f861]) ).
fof(f6156,plain,
! [X0,X1] :
( ~ sQ752_spl
| app(X0,skaf73(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf73(X1)))
| ~ ssList(skaf73(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f6141,f3325]) ).
fof(f6157,plain,
! [X0,X1,X2] :
( ~ sQ752_spl
| ~ ssList(skaf73(X2))
| ~ rearsegP(X1,skaf73(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f6141,f852]) ).
fof(f6158,plain,
! [X0] :
( ~ sQ752_spl
| ~ ssList(nil)
| ~ rearsegP(nil,skaf73(X0))
| nil = skaf73(X0)
| ~ ssList(nil)
| ~ ssList(skaf73(X0))
| ~ ssList(skaf73(X0))
| ~ rearsegP(nil,skaf73(X0)) ),
inference(resolution,[status(thm)],[f6141,f852]) ).
fof(f6159,plain,
! [X0,X1,X2] :
( ~ sQ752_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf73(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf73(X1)) ),
inference(resolution,[status(thm)],[f6141,f852]) ).
fof(f6161,plain,
! [X0,X1,X2] :
( ~ sQ752_spl
| ~ ssList(X2)
| ~ rearsegP(X2,skaf73(X1))
| ~ rearsegP(X0,X2)
| nil = skaf73(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf73(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f6141,f852]) ).
fof(f6162,plain,
! [X0,X1] :
( ~ sQ752_spl
| nil = skaf73(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf73(X1))
| ~ rearsegP(X0,skaf73(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f6141,f727]) ).
fof(f6163,plain,
! [X0,X1] :
( ~ sQ752_spl
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf73(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf73(X1)) ),
inference(resolution,[status(thm)],[f6141,f727]) ).
fof(f6164,plain,
! [X0] :
( ~ sQ752_spl
| skaf73(X0) = nil
| ~ ssList(skaf73(X0))
| ~ ssList(nil)
| ~ rearsegP(nil,skaf73(X0)) ),
inference(resolution,[status(thm)],[f6141,f340]) ).
fof(f6169,definition,
! [X0,X1,X2] :
( sQ755_spl
<=> ( ~ ssList(skaf73(X2))
| ~ rearsegP(X1,skaf73(X2))
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ755_spl])],[split_symbol_definition]) ).
fof(f6172,plain,
( ~ sQ752_spl
| ~ sQ14_spl
| sQ755_spl ),
inference(split_clause,[status(thm)],[f6152,f6169,f581,f6140]) ).
fof(f6173,definition,
! [X0,X1,X2] :
( sQ756_spl
<=> ( ~ rearsegP(nil,X0)
| X0 = skaf73(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf73(X2))
| ~ rearsegP(X1,skaf73(X2))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ756_spl])],[split_symbol_definition]) ).
fof(f6176,plain,
( ~ sQ752_spl
| ~ sQ14_spl
| sQ756_spl ),
inference(split_clause,[status(thm)],[f6153,f6173,f581,f6140]) ).
fof(f6179,definition,
! [X0,X1] :
( sQ757_spl
<=> ( app(X0,skaf73(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf73(X1)))
| ~ ssList(skaf73(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ757_spl])],[split_symbol_definition]) ).
fof(f6182,plain,
( ~ sQ752_spl
| ~ sQ14_spl
| sQ757_spl ),
inference(split_clause,[status(thm)],[f6156,f6179,f581,f6140]) ).
fof(f6183,definition,
! [X0,X1,X2] :
( sQ758_spl
<=> ( ~ ssList(skaf73(X2))
| ~ rearsegP(X1,skaf73(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ758_spl])],[split_symbol_definition]) ).
fof(f6186,plain,
( ~ sQ752_spl
| ~ sQ14_spl
| sQ758_spl ),
inference(split_clause,[status(thm)],[f6157,f6183,f581,f6140]) ).
fof(f6187,definition,
! [X0] :
( sQ759_spl
<=> ( ~ rearsegP(nil,skaf73(X0))
| nil = skaf73(X0)
| ~ ssList(skaf73(X0))
| ~ ssList(skaf73(X0))
| ~ rearsegP(nil,skaf73(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ759_spl])],[split_symbol_definition]) ).
fof(f6190,plain,
( ~ sQ752_spl
| ~ sQ14_spl
| sQ759_spl ),
inference(split_clause,[status(thm)],[f6158,f6187,f581,f6140]) ).
fof(f6191,definition,
! [X0,X1,X2] :
( sQ760_spl
<=> ( ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf73(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf73(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ760_spl])],[split_symbol_definition]) ).
fof(f6194,plain,
( ~ sQ752_spl
| ~ sQ14_spl
| sQ760_spl ),
inference(split_clause,[status(thm)],[f6159,f6191,f581,f6140]) ).
fof(f6196,definition,
! [X0,X1,X2] :
( sQ761_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,skaf73(X1))
| ~ rearsegP(X0,X2)
| nil = skaf73(X1)
| ~ ssList(X0)
| ~ ssList(skaf73(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ761_spl])],[split_symbol_definition]) ).
fof(f6199,plain,
( ~ sQ752_spl
| ~ sQ14_spl
| sQ761_spl ),
inference(split_clause,[status(thm)],[f6161,f6196,f581,f6140]) ).
fof(f6200,definition,
! [X0,X1] :
( sQ762_spl
<=> ( nil = skaf73(X1)
| ~ ssList(X0)
| ~ ssList(skaf73(X1))
| ~ rearsegP(X0,skaf73(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ762_spl])],[split_symbol_definition]) ).
fof(f6203,plain,
( ~ sQ752_spl
| ~ sQ14_spl
| sQ762_spl ),
inference(split_clause,[status(thm)],[f6162,f6200,f581,f6140]) ).
fof(f6204,definition,
! [X0,X1] :
( sQ763_spl
<=> ( X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf73(X1))
| ~ rearsegP(X0,skaf73(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ763_spl])],[split_symbol_definition]) ).
fof(f6207,plain,
( ~ sQ752_spl
| ~ sQ14_spl
| sQ763_spl ),
inference(split_clause,[status(thm)],[f6163,f6204,f581,f6140]) ).
fof(f6208,definition,
! [X0] :
( sQ764_spl
<=> ( skaf73(X0) = nil
| ~ ssList(skaf73(X0))
| ~ rearsegP(nil,skaf73(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ764_spl])],[split_symbol_definition]) ).
fof(f6211,plain,
( ~ sQ752_spl
| ~ sQ14_spl
| sQ764_spl ),
inference(split_clause,[status(thm)],[f6164,f6208,f581,f6140]) ).
fof(f6218,plain,
! [X0] :
( ~ sQ316_spl
| ~ ssList(nil)
| rearsegP(skaf75(X0),nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f3190,f257]) ).
fof(f6219,plain,
! [X0,X1,X2] :
( ~ sQ316_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf75(X1),X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3190,f376]) ).
fof(f6221,definition,
! [X0] :
( sQ765_spl
<=> rearsegP(skaf75(X0),nil) ),
introduced(definition,[new_symbols(definition,[sQ765_spl])],[split_symbol_definition]) ).
fof(f6222,plain,
! [X0] :
( ~ sQ765_spl
| rearsegP(skaf75(X0),nil) ),
inference(component_clause,[status(thm)],[f6221]) ).
fof(f6225,plain,
( ~ sQ316_spl
| sQ765_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f6218,f581,f6221,f3166]) ).
fof(f6226,definition,
! [X0,X1,X2] :
( sQ766_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf75(X1),X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ766_spl])],[split_symbol_definition]) ).
fof(f6229,plain,
( ~ sQ316_spl
| ~ sQ14_spl
| sQ766_spl ),
inference(split_clause,[status(thm)],[f6219,f6226,f581,f3166]) ).
fof(f6233,plain,
! [X0,X1,X2] :
( ~ sQ765_spl
| ~ ssList(skaf75(X2))
| ~ rearsegP(X1,skaf75(X2))
| nil = X1
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f6222,f861]) ).
fof(f6234,plain,
! [X0,X1,X2] :
( ~ sQ765_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X0)
| X0 = skaf75(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf75(X2))
| ~ rearsegP(X1,skaf75(X2))
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f6222,f861]) ).
fof(f6237,plain,
! [X0,X1] :
( ~ sQ765_spl
| app(X0,skaf75(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf75(X1)))
| ~ ssList(skaf75(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f6222,f3325]) ).
fof(f6238,plain,
! [X0,X1,X2] :
( ~ sQ765_spl
| ~ ssList(skaf75(X2))
| ~ rearsegP(X1,skaf75(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f6222,f852]) ).
fof(f6239,plain,
! [X0] :
( ~ sQ765_spl
| ~ ssList(nil)
| ~ rearsegP(nil,skaf75(X0))
| nil = skaf75(X0)
| ~ ssList(nil)
| ~ ssList(skaf75(X0))
| ~ ssList(skaf75(X0))
| ~ rearsegP(nil,skaf75(X0)) ),
inference(resolution,[status(thm)],[f6222,f852]) ).
fof(f6240,plain,
! [X0,X1,X2] :
( ~ sQ765_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf75(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf75(X1)) ),
inference(resolution,[status(thm)],[f6222,f852]) ).
fof(f6242,plain,
! [X0,X1,X2] :
( ~ sQ765_spl
| ~ ssList(X2)
| ~ rearsegP(X2,skaf75(X1))
| ~ rearsegP(X0,X2)
| nil = skaf75(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf75(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f6222,f852]) ).
fof(f6243,plain,
! [X0,X1] :
( ~ sQ765_spl
| nil = skaf75(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf75(X1))
| ~ rearsegP(X0,skaf75(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f6222,f727]) ).
fof(f6244,plain,
! [X0,X1] :
( ~ sQ765_spl
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf75(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf75(X1)) ),
inference(resolution,[status(thm)],[f6222,f727]) ).
fof(f6245,plain,
! [X0] :
( ~ sQ765_spl
| skaf75(X0) = nil
| ~ ssList(skaf75(X0))
| ~ ssList(nil)
| ~ rearsegP(nil,skaf75(X0)) ),
inference(resolution,[status(thm)],[f6222,f340]) ).
fof(f6250,definition,
! [X0,X1,X2] :
( sQ768_spl
<=> ( ~ ssList(skaf75(X2))
| ~ rearsegP(X1,skaf75(X2))
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ768_spl])],[split_symbol_definition]) ).
fof(f6253,plain,
( ~ sQ765_spl
| ~ sQ14_spl
| sQ768_spl ),
inference(split_clause,[status(thm)],[f6233,f6250,f581,f6221]) ).
fof(f6254,definition,
! [X0,X1,X2] :
( sQ769_spl
<=> ( ~ rearsegP(nil,X0)
| X0 = skaf75(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf75(X2))
| ~ rearsegP(X1,skaf75(X2))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ769_spl])],[split_symbol_definition]) ).
fof(f6257,plain,
( ~ sQ765_spl
| ~ sQ14_spl
| sQ769_spl ),
inference(split_clause,[status(thm)],[f6234,f6254,f581,f6221]) ).
fof(f6260,definition,
! [X0,X1] :
( sQ770_spl
<=> ( app(X0,skaf75(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf75(X1)))
| ~ ssList(skaf75(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ770_spl])],[split_symbol_definition]) ).
fof(f6263,plain,
( ~ sQ765_spl
| ~ sQ14_spl
| sQ770_spl ),
inference(split_clause,[status(thm)],[f6237,f6260,f581,f6221]) ).
fof(f6264,definition,
! [X0,X1,X2] :
( sQ771_spl
<=> ( ~ ssList(skaf75(X2))
| ~ rearsegP(X1,skaf75(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ771_spl])],[split_symbol_definition]) ).
fof(f6267,plain,
( ~ sQ765_spl
| ~ sQ14_spl
| sQ771_spl ),
inference(split_clause,[status(thm)],[f6238,f6264,f581,f6221]) ).
fof(f6268,definition,
! [X0] :
( sQ772_spl
<=> ( ~ rearsegP(nil,skaf75(X0))
| nil = skaf75(X0)
| ~ ssList(skaf75(X0))
| ~ ssList(skaf75(X0))
| ~ rearsegP(nil,skaf75(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ772_spl])],[split_symbol_definition]) ).
fof(f6271,plain,
( ~ sQ765_spl
| ~ sQ14_spl
| sQ772_spl ),
inference(split_clause,[status(thm)],[f6239,f6268,f581,f6221]) ).
fof(f6272,definition,
! [X0,X1,X2] :
( sQ773_spl
<=> ( ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf75(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf75(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ773_spl])],[split_symbol_definition]) ).
fof(f6275,plain,
( ~ sQ765_spl
| ~ sQ14_spl
| sQ773_spl ),
inference(split_clause,[status(thm)],[f6240,f6272,f581,f6221]) ).
fof(f6277,definition,
! [X0,X1,X2] :
( sQ774_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,skaf75(X1))
| ~ rearsegP(X0,X2)
| nil = skaf75(X1)
| ~ ssList(X0)
| ~ ssList(skaf75(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ774_spl])],[split_symbol_definition]) ).
fof(f6280,plain,
( ~ sQ765_spl
| ~ sQ14_spl
| sQ774_spl ),
inference(split_clause,[status(thm)],[f6242,f6277,f581,f6221]) ).
fof(f6281,definition,
! [X0,X1] :
( sQ775_spl
<=> ( nil = skaf75(X1)
| ~ ssList(X0)
| ~ ssList(skaf75(X1))
| ~ rearsegP(X0,skaf75(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ775_spl])],[split_symbol_definition]) ).
fof(f6284,plain,
( ~ sQ765_spl
| ~ sQ14_spl
| sQ775_spl ),
inference(split_clause,[status(thm)],[f6243,f6281,f581,f6221]) ).
fof(f6285,definition,
! [X0,X1] :
( sQ776_spl
<=> ( X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf75(X1))
| ~ rearsegP(X0,skaf75(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ776_spl])],[split_symbol_definition]) ).
fof(f6288,plain,
( ~ sQ765_spl
| ~ sQ14_spl
| sQ776_spl ),
inference(split_clause,[status(thm)],[f6244,f6285,f581,f6221]) ).
fof(f6289,definition,
! [X0] :
( sQ777_spl
<=> ( skaf75(X0) = nil
| ~ ssList(skaf75(X0))
| ~ rearsegP(nil,skaf75(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ777_spl])],[split_symbol_definition]) ).
fof(f6292,plain,
( ~ sQ765_spl
| ~ sQ14_spl
| sQ777_spl ),
inference(split_clause,[status(thm)],[f6245,f6289,f581,f6221]) ).
fof(f6299,plain,
! [X0] :
( ~ sQ325_spl
| ~ ssList(nil)
| rearsegP(skaf76(X0),nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f3256,f257]) ).
fof(f6300,plain,
! [X0,X1,X2] :
( ~ sQ325_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf76(X1),X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3256,f376]) ).
fof(f6302,definition,
! [X0] :
( sQ778_spl
<=> rearsegP(skaf76(X0),nil) ),
introduced(definition,[new_symbols(definition,[sQ778_spl])],[split_symbol_definition]) ).
fof(f6303,plain,
! [X0] :
( ~ sQ778_spl
| rearsegP(skaf76(X0),nil) ),
inference(component_clause,[status(thm)],[f6302]) ).
fof(f6306,plain,
( ~ sQ325_spl
| sQ778_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f6299,f581,f6302,f3232]) ).
fof(f6307,definition,
! [X0,X1,X2] :
( sQ779_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf76(X1),X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ779_spl])],[split_symbol_definition]) ).
fof(f6310,plain,
( ~ sQ325_spl
| ~ sQ14_spl
| sQ779_spl ),
inference(split_clause,[status(thm)],[f6300,f6307,f581,f3232]) ).
fof(f6314,plain,
! [X0,X1,X2] :
( ~ sQ778_spl
| ~ ssList(skaf76(X2))
| ~ rearsegP(X1,skaf76(X2))
| nil = X1
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f6303,f861]) ).
fof(f6315,plain,
! [X0,X1,X2] :
( ~ sQ778_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X0)
| X0 = skaf76(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf76(X2))
| ~ rearsegP(X1,skaf76(X2))
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f6303,f861]) ).
fof(f6318,plain,
! [X0,X1] :
( ~ sQ778_spl
| app(X0,skaf76(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf76(X1)))
| ~ ssList(skaf76(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f6303,f3325]) ).
fof(f6319,plain,
! [X0,X1,X2] :
( ~ sQ778_spl
| ~ ssList(skaf76(X2))
| ~ rearsegP(X1,skaf76(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f6303,f852]) ).
fof(f6320,plain,
! [X0] :
( ~ sQ778_spl
| ~ ssList(nil)
| ~ rearsegP(nil,skaf76(X0))
| nil = skaf76(X0)
| ~ ssList(nil)
| ~ ssList(skaf76(X0))
| ~ ssList(skaf76(X0))
| ~ rearsegP(nil,skaf76(X0)) ),
inference(resolution,[status(thm)],[f6303,f852]) ).
fof(f6321,plain,
! [X0,X1,X2] :
( ~ sQ778_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf76(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf76(X1)) ),
inference(resolution,[status(thm)],[f6303,f852]) ).
fof(f6323,plain,
! [X0,X1,X2] :
( ~ sQ778_spl
| ~ ssList(X2)
| ~ rearsegP(X2,skaf76(X1))
| ~ rearsegP(X0,X2)
| nil = skaf76(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf76(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f6303,f852]) ).
fof(f6324,plain,
! [X0,X1] :
( ~ sQ778_spl
| nil = skaf76(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf76(X1))
| ~ rearsegP(X0,skaf76(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f6303,f727]) ).
fof(f6325,plain,
! [X0,X1] :
( ~ sQ778_spl
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf76(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf76(X1)) ),
inference(resolution,[status(thm)],[f6303,f727]) ).
fof(f6326,plain,
! [X0] :
( ~ sQ778_spl
| skaf76(X0) = nil
| ~ ssList(skaf76(X0))
| ~ ssList(nil)
| ~ rearsegP(nil,skaf76(X0)) ),
inference(resolution,[status(thm)],[f6303,f340]) ).
fof(f6331,definition,
! [X0,X1,X2] :
( sQ781_spl
<=> ( ~ ssList(skaf76(X2))
| ~ rearsegP(X1,skaf76(X2))
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ781_spl])],[split_symbol_definition]) ).
fof(f6334,plain,
( ~ sQ778_spl
| ~ sQ14_spl
| sQ781_spl ),
inference(split_clause,[status(thm)],[f6314,f6331,f581,f6302]) ).
fof(f6335,definition,
! [X0,X1,X2] :
( sQ782_spl
<=> ( ~ rearsegP(nil,X0)
| X0 = skaf76(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf76(X2))
| ~ rearsegP(X1,skaf76(X2))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ782_spl])],[split_symbol_definition]) ).
fof(f6338,plain,
( ~ sQ778_spl
| ~ sQ14_spl
| sQ782_spl ),
inference(split_clause,[status(thm)],[f6315,f6335,f581,f6302]) ).
fof(f6341,definition,
! [X0,X1] :
( sQ783_spl
<=> ( app(X0,skaf76(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf76(X1)))
| ~ ssList(skaf76(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ783_spl])],[split_symbol_definition]) ).
fof(f6344,plain,
( ~ sQ778_spl
| ~ sQ14_spl
| sQ783_spl ),
inference(split_clause,[status(thm)],[f6318,f6341,f581,f6302]) ).
fof(f6345,definition,
! [X0,X1,X2] :
( sQ784_spl
<=> ( ~ ssList(skaf76(X2))
| ~ rearsegP(X1,skaf76(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ784_spl])],[split_symbol_definition]) ).
fof(f6348,plain,
( ~ sQ778_spl
| ~ sQ14_spl
| sQ784_spl ),
inference(split_clause,[status(thm)],[f6319,f6345,f581,f6302]) ).
fof(f6349,definition,
! [X0] :
( sQ785_spl
<=> ( ~ rearsegP(nil,skaf76(X0))
| nil = skaf76(X0)
| ~ ssList(skaf76(X0))
| ~ ssList(skaf76(X0))
| ~ rearsegP(nil,skaf76(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ785_spl])],[split_symbol_definition]) ).
fof(f6352,plain,
( ~ sQ778_spl
| ~ sQ14_spl
| sQ785_spl ),
inference(split_clause,[status(thm)],[f6320,f6349,f581,f6302]) ).
fof(f6353,definition,
! [X0,X1,X2] :
( sQ786_spl
<=> ( ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf76(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf76(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ786_spl])],[split_symbol_definition]) ).
fof(f6356,plain,
( ~ sQ778_spl
| ~ sQ14_spl
| sQ786_spl ),
inference(split_clause,[status(thm)],[f6321,f6353,f581,f6302]) ).
fof(f6358,definition,
! [X0,X1,X2] :
( sQ787_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,skaf76(X1))
| ~ rearsegP(X0,X2)
| nil = skaf76(X1)
| ~ ssList(X0)
| ~ ssList(skaf76(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ787_spl])],[split_symbol_definition]) ).
fof(f6361,plain,
( ~ sQ778_spl
| ~ sQ14_spl
| sQ787_spl ),
inference(split_clause,[status(thm)],[f6323,f6358,f581,f6302]) ).
fof(f6362,definition,
! [X0,X1] :
( sQ788_spl
<=> ( nil = skaf76(X1)
| ~ ssList(X0)
| ~ ssList(skaf76(X1))
| ~ rearsegP(X0,skaf76(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ788_spl])],[split_symbol_definition]) ).
fof(f6365,plain,
( ~ sQ778_spl
| ~ sQ14_spl
| sQ788_spl ),
inference(split_clause,[status(thm)],[f6324,f6362,f581,f6302]) ).
fof(f6366,definition,
! [X0,X1] :
( sQ789_spl
<=> ( X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf76(X1))
| ~ rearsegP(X0,skaf76(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ789_spl])],[split_symbol_definition]) ).
fof(f6369,plain,
( ~ sQ778_spl
| ~ sQ14_spl
| sQ789_spl ),
inference(split_clause,[status(thm)],[f6325,f6366,f581,f6302]) ).
fof(f6370,definition,
! [X0] :
( sQ790_spl
<=> ( skaf76(X0) = nil
| ~ ssList(skaf76(X0))
| ~ rearsegP(nil,skaf76(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ790_spl])],[split_symbol_definition]) ).
fof(f6373,plain,
( ~ sQ778_spl
| ~ sQ14_spl
| sQ790_spl ),
inference(split_clause,[status(thm)],[f6326,f6370,f581,f6302]) ).
fof(f6381,plain,
! [X0] :
( ~ sQ109_spl
| segmentP(sk4,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(sk4,X0) ),
inference(paramodulation,[status(thm)],[f1018,f1352]) ).
fof(f6385,definition,
! [X0] :
( sQ791_spl
<=> ( segmentP(sk4,X0)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ791_spl])],[split_symbol_definition]) ).
fof(f6388,plain,
( ~ sQ109_spl
| ~ sQ14_spl
| sQ791_spl ),
inference(split_clause,[status(thm)],[f6381,f6385,f581,f1351]) ).
fof(f6389,plain,
! [X0,X1,X2] :
( ~ sQ60_spl
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ segmentP(X2,app(sk3,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1054,f3329]) ).
fof(f6391,plain,
! [X0,X1] :
( ~ sQ60_spl
| ~ ssList(nil)
| segmentP(X1,nil)
| ~ ssList(X1)
| ~ segmentP(X1,app(sk3,X0))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f6389,f255]) ).
fof(f6394,plain,
( ~ sQ60_spl
| ~ sQ14_spl
| sQ678_spl ),
inference(split_clause,[status(thm)],[f6391,f5603,f581,f1026]) ).
fof(f6448,plain,
! [X0] :
( ~ ssList(X0)
| cons(skac2,X0) != X0 ),
inference(resolution,[status(thm)],[f301,f209]) ).
fof(f6449,plain,
! [X0] :
( ~ ssList(X0)
| cons(skac3,X0) != X0 ),
inference(resolution,[status(thm)],[f301,f208]) ).
fof(f6450,plain,
! [X0,X1] :
( ~ sQ393_spl
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(app(X0,sk4))
| ~ rearsegP(X1,app(X0,sk4))
| ~ rearsegP(nil,X1)
| app(X0,sk4) = nil
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3754,f376]) ).
fof(f6452,definition,
! [X0,X1] :
( sQ792_spl
<=> ( ~ ssList(X1)
| ~ ssList(app(X0,sk4))
| ~ rearsegP(X1,app(X0,sk4))
| ~ rearsegP(nil,X1)
| app(X0,sk4) = nil
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ792_spl])],[split_symbol_definition]) ).
fof(f6455,plain,
( ~ sQ393_spl
| ~ sQ14_spl
| sQ792_spl ),
inference(split_clause,[status(thm)],[f6450,f6452,f581,f3753]) ).
fof(f6460,plain,
! [X0,X1] :
( ~ sQ394_spl
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(app(X0,sk4))
| ~ rearsegP(X1,app(X0,sk4))
| ~ rearsegP(sk4,X1)
| app(X0,sk4) = sk4
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3758,f376]) ).
fof(f6462,definition,
! [X0,X1] :
( sQ794_spl
<=> ( ~ ssList(X1)
| ~ ssList(app(X0,sk4))
| ~ rearsegP(X1,app(X0,sk4))
| ~ rearsegP(sk4,X1)
| app(X0,sk4) = sk4
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ794_spl])],[split_symbol_definition]) ).
fof(f6465,plain,
( ~ sQ394_spl
| ~ sQ10_spl
| sQ794_spl ),
inference(split_clause,[status(thm)],[f6460,f6462,f554,f3757]) ).
fof(f6467,plain,
! [X0,X1] :
( ~ sQ391_spl
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(app(X0,sk3))
| ~ rearsegP(X1,app(X0,sk3))
| ~ rearsegP(nil,X1)
| app(X0,sk3) = nil
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3746,f376]) ).
fof(f6469,definition,
! [X0,X1] :
( sQ795_spl
<=> ( ~ ssList(X1)
| ~ ssList(app(X0,sk3))
| ~ rearsegP(X1,app(X0,sk3))
| ~ rearsegP(nil,X1)
| app(X0,sk3) = nil
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ795_spl])],[split_symbol_definition]) ).
fof(f6472,plain,
( ~ sQ391_spl
| ~ sQ14_spl
| sQ795_spl ),
inference(split_clause,[status(thm)],[f6467,f6469,f581,f3745]) ).
fof(f6477,plain,
! [X0,X1] :
( ~ sQ392_spl
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ ssList(app(X0,sk3))
| ~ rearsegP(X1,app(X0,sk3))
| ~ rearsegP(sk3,X1)
| app(X0,sk3) = sk3
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3750,f376]) ).
fof(f6479,definition,
! [X0,X1] :
( sQ797_spl
<=> ( ~ ssList(X1)
| ~ ssList(app(X0,sk3))
| ~ rearsegP(X1,app(X0,sk3))
| ~ rearsegP(sk3,X1)
| app(X0,sk3) = sk3
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ797_spl])],[split_symbol_definition]) ).
fof(f6482,plain,
( ~ sQ392_spl
| ~ sQ12_spl
| sQ797_spl ),
inference(split_clause,[status(thm)],[f6477,f6479,f572,f3749]) ).
fof(f6484,plain,
! [X0,X1] :
( ~ sQ125_spl
| app(sk4,X1) = X0
| ~ segmentP(X0,app(sk4,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1749,f3357]) ).
fof(f6486,plain,
! [X0] :
( ~ sQ125_spl
| ~ ssList(nil)
| app(sk4,X0) = nil
| ~ segmentP(nil,app(sk4,X0))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f6484,f255]) ).
fof(f6488,definition,
! [X0] :
( sQ798_spl
<=> ( app(sk4,X0) = nil
| ~ segmentP(nil,app(sk4,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ798_spl])],[split_symbol_definition]) ).
fof(f6492,plain,
( ~ sQ125_spl
| ~ sQ14_spl
| sQ798_spl ),
inference(split_clause,[status(thm)],[f6486,f6488,f581,f1732]) ).
fof(f6495,plain,
! [X0] :
( ~ sQ334_spl
| ~ ssList(nil)
| rearsegP(skaf77(X0),nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f3322,f257]) ).
fof(f6496,plain,
! [X0,X1,X2] :
( ~ sQ334_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf77(X1),X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3322,f376]) ).
fof(f6498,definition,
! [X0] :
( sQ799_spl
<=> rearsegP(skaf77(X0),nil) ),
introduced(definition,[new_symbols(definition,[sQ799_spl])],[split_symbol_definition]) ).
fof(f6499,plain,
! [X0] :
( ~ sQ799_spl
| rearsegP(skaf77(X0),nil) ),
inference(component_clause,[status(thm)],[f6498]) ).
fof(f6502,plain,
( ~ sQ334_spl
| sQ799_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f6495,f581,f6498,f3298]) ).
fof(f6503,definition,
! [X0,X1,X2] :
( sQ800_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf77(X1),X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ800_spl])],[split_symbol_definition]) ).
fof(f6506,plain,
( ~ sQ334_spl
| ~ sQ14_spl
| sQ800_spl ),
inference(split_clause,[status(thm)],[f6496,f6503,f581,f3298]) ).
fof(f6510,plain,
! [X0,X1,X2] :
( ~ sQ799_spl
| ~ ssList(skaf77(X2))
| ~ rearsegP(X1,skaf77(X2))
| nil = X1
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f6499,f861]) ).
fof(f6511,plain,
! [X0,X1,X2] :
( ~ sQ799_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X0)
| X0 = skaf77(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf77(X2))
| ~ rearsegP(X1,skaf77(X2))
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f6499,f861]) ).
fof(f6514,plain,
! [X0,X1] :
( ~ sQ799_spl
| app(X0,skaf77(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf77(X1)))
| ~ ssList(skaf77(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f6499,f3325]) ).
fof(f6515,plain,
! [X0,X1,X2] :
( ~ sQ799_spl
| ~ ssList(skaf77(X2))
| ~ rearsegP(X1,skaf77(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f6499,f852]) ).
fof(f6516,plain,
! [X0] :
( ~ sQ799_spl
| ~ ssList(nil)
| ~ rearsegP(nil,skaf77(X0))
| nil = skaf77(X0)
| ~ ssList(nil)
| ~ ssList(skaf77(X0))
| ~ ssList(skaf77(X0))
| ~ rearsegP(nil,skaf77(X0)) ),
inference(resolution,[status(thm)],[f6499,f852]) ).
fof(f6517,plain,
! [X0,X1,X2] :
( ~ sQ799_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf77(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf77(X1)) ),
inference(resolution,[status(thm)],[f6499,f852]) ).
fof(f6519,plain,
! [X0,X1,X2] :
( ~ sQ799_spl
| ~ ssList(X2)
| ~ rearsegP(X2,skaf77(X1))
| ~ rearsegP(X0,X2)
| nil = skaf77(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf77(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f6499,f852]) ).
fof(f6520,plain,
! [X0,X1] :
( ~ sQ799_spl
| nil = skaf77(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf77(X1))
| ~ rearsegP(X0,skaf77(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f6499,f727]) ).
fof(f6521,plain,
! [X0,X1] :
( ~ sQ799_spl
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf77(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf77(X1)) ),
inference(resolution,[status(thm)],[f6499,f727]) ).
fof(f6522,plain,
! [X0] :
( ~ sQ799_spl
| skaf77(X0) = nil
| ~ ssList(skaf77(X0))
| ~ ssList(nil)
| ~ rearsegP(nil,skaf77(X0)) ),
inference(resolution,[status(thm)],[f6499,f340]) ).
fof(f6527,definition,
! [X0,X1,X2] :
( sQ802_spl
<=> ( ~ ssList(skaf77(X2))
| ~ rearsegP(X1,skaf77(X2))
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ802_spl])],[split_symbol_definition]) ).
fof(f6530,plain,
( ~ sQ799_spl
| ~ sQ14_spl
| sQ802_spl ),
inference(split_clause,[status(thm)],[f6510,f6527,f581,f6498]) ).
fof(f6531,definition,
! [X0,X1,X2] :
( sQ803_spl
<=> ( ~ rearsegP(nil,X0)
| X0 = skaf77(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf77(X2))
| ~ rearsegP(X1,skaf77(X2))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ803_spl])],[split_symbol_definition]) ).
fof(f6534,plain,
( ~ sQ799_spl
| ~ sQ14_spl
| sQ803_spl ),
inference(split_clause,[status(thm)],[f6511,f6531,f581,f6498]) ).
fof(f6537,definition,
! [X0,X1] :
( sQ804_spl
<=> ( app(X0,skaf77(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf77(X1)))
| ~ ssList(skaf77(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ804_spl])],[split_symbol_definition]) ).
fof(f6540,plain,
( ~ sQ799_spl
| ~ sQ14_spl
| sQ804_spl ),
inference(split_clause,[status(thm)],[f6514,f6537,f581,f6498]) ).
fof(f6541,definition,
! [X0,X1,X2] :
( sQ805_spl
<=> ( ~ ssList(skaf77(X2))
| ~ rearsegP(X1,skaf77(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ805_spl])],[split_symbol_definition]) ).
fof(f6544,plain,
( ~ sQ799_spl
| ~ sQ14_spl
| sQ805_spl ),
inference(split_clause,[status(thm)],[f6515,f6541,f581,f6498]) ).
fof(f6545,definition,
! [X0] :
( sQ806_spl
<=> ( ~ rearsegP(nil,skaf77(X0))
| nil = skaf77(X0)
| ~ ssList(skaf77(X0))
| ~ ssList(skaf77(X0))
| ~ rearsegP(nil,skaf77(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ806_spl])],[split_symbol_definition]) ).
fof(f6548,plain,
( ~ sQ799_spl
| ~ sQ14_spl
| sQ806_spl ),
inference(split_clause,[status(thm)],[f6516,f6545,f581,f6498]) ).
fof(f6549,definition,
! [X0,X1,X2] :
( sQ807_spl
<=> ( ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf77(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf77(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ807_spl])],[split_symbol_definition]) ).
fof(f6552,plain,
( ~ sQ799_spl
| ~ sQ14_spl
| sQ807_spl ),
inference(split_clause,[status(thm)],[f6517,f6549,f581,f6498]) ).
fof(f6554,definition,
! [X0,X1,X2] :
( sQ808_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,skaf77(X1))
| ~ rearsegP(X0,X2)
| nil = skaf77(X1)
| ~ ssList(X0)
| ~ ssList(skaf77(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ808_spl])],[split_symbol_definition]) ).
fof(f6557,plain,
( ~ sQ799_spl
| ~ sQ14_spl
| sQ808_spl ),
inference(split_clause,[status(thm)],[f6519,f6554,f581,f6498]) ).
fof(f6558,definition,
! [X0,X1] :
( sQ809_spl
<=> ( nil = skaf77(X1)
| ~ ssList(X0)
| ~ ssList(skaf77(X1))
| ~ rearsegP(X0,skaf77(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ809_spl])],[split_symbol_definition]) ).
fof(f6561,plain,
( ~ sQ799_spl
| ~ sQ14_spl
| sQ809_spl ),
inference(split_clause,[status(thm)],[f6520,f6558,f581,f6498]) ).
fof(f6562,definition,
! [X0,X1] :
( sQ810_spl
<=> ( X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf77(X1))
| ~ rearsegP(X0,skaf77(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ810_spl])],[split_symbol_definition]) ).
fof(f6565,plain,
( ~ sQ799_spl
| ~ sQ14_spl
| sQ810_spl ),
inference(split_clause,[status(thm)],[f6521,f6562,f581,f6498]) ).
fof(f6566,definition,
! [X0] :
( sQ811_spl
<=> ( skaf77(X0) = nil
| ~ ssList(skaf77(X0))
| ~ rearsegP(nil,skaf77(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ811_spl])],[split_symbol_definition]) ).
fof(f6569,plain,
( ~ sQ799_spl
| ~ sQ14_spl
| sQ811_spl ),
inference(split_clause,[status(thm)],[f6522,f6566,f581,f6498]) ).
fof(f6576,plain,
! [X0] :
( ~ sQ426_spl
| ~ ssList(nil)
| rearsegP(skaf80(X0),nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f3963,f257]) ).
fof(f6577,plain,
! [X0,X1,X2] :
( ~ sQ426_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf80(X1),X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3963,f376]) ).
fof(f6579,definition,
! [X0] :
( sQ812_spl
<=> rearsegP(skaf80(X0),nil) ),
introduced(definition,[new_symbols(definition,[sQ812_spl])],[split_symbol_definition]) ).
fof(f6580,plain,
! [X0] :
( ~ sQ812_spl
| rearsegP(skaf80(X0),nil) ),
inference(component_clause,[status(thm)],[f6579]) ).
fof(f6583,plain,
( ~ sQ426_spl
| sQ812_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f6576,f581,f6579,f3951]) ).
fof(f6584,definition,
! [X0,X1,X2] :
( sQ813_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf80(X1),X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ813_spl])],[split_symbol_definition]) ).
fof(f6587,plain,
( ~ sQ426_spl
| ~ sQ14_spl
| sQ813_spl ),
inference(split_clause,[status(thm)],[f6577,f6584,f581,f3951]) ).
fof(f6591,plain,
! [X0,X1,X2] :
( ~ sQ812_spl
| ~ ssList(skaf80(X2))
| ~ rearsegP(X1,skaf80(X2))
| nil = X1
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f6580,f861]) ).
fof(f6592,plain,
! [X0,X1,X2] :
( ~ sQ812_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X0)
| X0 = skaf80(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf80(X2))
| ~ rearsegP(X1,skaf80(X2))
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f6580,f861]) ).
fof(f6595,plain,
! [X0,X1] :
( ~ sQ812_spl
| app(X0,skaf80(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf80(X1)))
| ~ ssList(skaf80(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f6580,f3325]) ).
fof(f6596,plain,
! [X0,X1,X2] :
( ~ sQ812_spl
| ~ ssList(skaf80(X2))
| ~ rearsegP(X1,skaf80(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f6580,f852]) ).
fof(f6597,plain,
! [X0] :
( ~ sQ812_spl
| ~ ssList(nil)
| ~ rearsegP(nil,skaf80(X0))
| nil = skaf80(X0)
| ~ ssList(nil)
| ~ ssList(skaf80(X0))
| ~ ssList(skaf80(X0))
| ~ rearsegP(nil,skaf80(X0)) ),
inference(resolution,[status(thm)],[f6580,f852]) ).
fof(f6598,plain,
! [X0,X1,X2] :
( ~ sQ812_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf80(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf80(X1)) ),
inference(resolution,[status(thm)],[f6580,f852]) ).
fof(f6600,plain,
! [X0,X1,X2] :
( ~ sQ812_spl
| ~ ssList(X2)
| ~ rearsegP(X2,skaf80(X1))
| ~ rearsegP(X0,X2)
| nil = skaf80(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf80(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f6580,f852]) ).
fof(f6601,plain,
! [X0,X1] :
( ~ sQ812_spl
| nil = skaf80(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf80(X1))
| ~ rearsegP(X0,skaf80(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f6580,f727]) ).
fof(f6602,plain,
! [X0,X1] :
( ~ sQ812_spl
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf80(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf80(X1)) ),
inference(resolution,[status(thm)],[f6580,f727]) ).
fof(f6603,plain,
! [X0] :
( ~ sQ812_spl
| skaf80(X0) = nil
| ~ ssList(skaf80(X0))
| ~ ssList(nil)
| ~ rearsegP(nil,skaf80(X0)) ),
inference(resolution,[status(thm)],[f6580,f340]) ).
fof(f6608,definition,
! [X0,X1,X2] :
( sQ815_spl
<=> ( ~ ssList(skaf80(X2))
| ~ rearsegP(X1,skaf80(X2))
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ815_spl])],[split_symbol_definition]) ).
fof(f6611,plain,
( ~ sQ812_spl
| ~ sQ14_spl
| sQ815_spl ),
inference(split_clause,[status(thm)],[f6591,f6608,f581,f6579]) ).
fof(f6612,definition,
! [X0,X1,X2] :
( sQ816_spl
<=> ( ~ rearsegP(nil,X0)
| X0 = skaf80(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf80(X2))
| ~ rearsegP(X1,skaf80(X2))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ816_spl])],[split_symbol_definition]) ).
fof(f6615,plain,
( ~ sQ812_spl
| ~ sQ14_spl
| sQ816_spl ),
inference(split_clause,[status(thm)],[f6592,f6612,f581,f6579]) ).
fof(f6618,definition,
! [X0,X1] :
( sQ817_spl
<=> ( app(X0,skaf80(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf80(X1)))
| ~ ssList(skaf80(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ817_spl])],[split_symbol_definition]) ).
fof(f6621,plain,
( ~ sQ812_spl
| ~ sQ14_spl
| sQ817_spl ),
inference(split_clause,[status(thm)],[f6595,f6618,f581,f6579]) ).
fof(f6622,definition,
! [X0,X1,X2] :
( sQ818_spl
<=> ( ~ ssList(skaf80(X2))
| ~ rearsegP(X1,skaf80(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ818_spl])],[split_symbol_definition]) ).
fof(f6625,plain,
( ~ sQ812_spl
| ~ sQ14_spl
| sQ818_spl ),
inference(split_clause,[status(thm)],[f6596,f6622,f581,f6579]) ).
fof(f6626,definition,
! [X0] :
( sQ819_spl
<=> ( ~ rearsegP(nil,skaf80(X0))
| nil = skaf80(X0)
| ~ ssList(skaf80(X0))
| ~ ssList(skaf80(X0))
| ~ rearsegP(nil,skaf80(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ819_spl])],[split_symbol_definition]) ).
fof(f6629,plain,
( ~ sQ812_spl
| ~ sQ14_spl
| sQ819_spl ),
inference(split_clause,[status(thm)],[f6597,f6626,f581,f6579]) ).
fof(f6630,definition,
! [X0,X1,X2] :
( sQ820_spl
<=> ( ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf80(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf80(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ820_spl])],[split_symbol_definition]) ).
fof(f6633,plain,
( ~ sQ812_spl
| ~ sQ14_spl
| sQ820_spl ),
inference(split_clause,[status(thm)],[f6598,f6630,f581,f6579]) ).
fof(f6635,definition,
! [X0,X1,X2] :
( sQ821_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,skaf80(X1))
| ~ rearsegP(X0,X2)
| nil = skaf80(X1)
| ~ ssList(X0)
| ~ ssList(skaf80(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ821_spl])],[split_symbol_definition]) ).
fof(f6638,plain,
( ~ sQ812_spl
| ~ sQ14_spl
| sQ821_spl ),
inference(split_clause,[status(thm)],[f6600,f6635,f581,f6579]) ).
fof(f6639,definition,
! [X0,X1] :
( sQ822_spl
<=> ( nil = skaf80(X1)
| ~ ssList(X0)
| ~ ssList(skaf80(X1))
| ~ rearsegP(X0,skaf80(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ822_spl])],[split_symbol_definition]) ).
fof(f6642,plain,
( ~ sQ812_spl
| ~ sQ14_spl
| sQ822_spl ),
inference(split_clause,[status(thm)],[f6601,f6639,f581,f6579]) ).
fof(f6643,definition,
! [X0,X1] :
( sQ823_spl
<=> ( X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf80(X1))
| ~ rearsegP(X0,skaf80(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ823_spl])],[split_symbol_definition]) ).
fof(f6646,plain,
( ~ sQ812_spl
| ~ sQ14_spl
| sQ823_spl ),
inference(split_clause,[status(thm)],[f6602,f6643,f581,f6579]) ).
fof(f6647,definition,
! [X0] :
( sQ824_spl
<=> ( skaf80(X0) = nil
| ~ ssList(skaf80(X0))
| ~ rearsegP(nil,skaf80(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ824_spl])],[split_symbol_definition]) ).
fof(f6650,plain,
( ~ sQ812_spl
| ~ sQ14_spl
| sQ824_spl ),
inference(split_clause,[status(thm)],[f6603,f6647,f581,f6579]) ).
fof(f6657,plain,
! [X0] :
( ~ sQ433_spl
| ~ ssList(nil)
| rearsegP(skaf81(X0),nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f4007,f257]) ).
fof(f6658,plain,
! [X0,X1,X2] :
( ~ sQ433_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf81(X1),X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f4007,f376]) ).
fof(f6660,definition,
! [X0] :
( sQ825_spl
<=> rearsegP(skaf81(X0),nil) ),
introduced(definition,[new_symbols(definition,[sQ825_spl])],[split_symbol_definition]) ).
fof(f6661,plain,
! [X0] :
( ~ sQ825_spl
| rearsegP(skaf81(X0),nil) ),
inference(component_clause,[status(thm)],[f6660]) ).
fof(f6664,plain,
( ~ sQ433_spl
| sQ825_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f6657,f581,f6660,f3995]) ).
fof(f6665,definition,
! [X0,X1,X2] :
( sQ826_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf81(X1),X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ826_spl])],[split_symbol_definition]) ).
fof(f6668,plain,
( ~ sQ433_spl
| ~ sQ14_spl
| sQ826_spl ),
inference(split_clause,[status(thm)],[f6658,f6665,f581,f3995]) ).
fof(f6672,plain,
! [X0,X1,X2] :
( ~ sQ825_spl
| ~ ssList(skaf81(X2))
| ~ rearsegP(X1,skaf81(X2))
| nil = X1
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f6661,f861]) ).
fof(f6673,plain,
! [X0,X1,X2] :
( ~ sQ825_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X0)
| X0 = skaf81(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf81(X2))
| ~ rearsegP(X1,skaf81(X2))
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f6661,f861]) ).
fof(f6676,plain,
! [X0,X1] :
( ~ sQ825_spl
| app(X0,skaf81(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf81(X1)))
| ~ ssList(skaf81(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f6661,f3325]) ).
fof(f6677,plain,
! [X0,X1,X2] :
( ~ sQ825_spl
| ~ ssList(skaf81(X2))
| ~ rearsegP(X1,skaf81(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f6661,f852]) ).
fof(f6678,plain,
! [X0] :
( ~ sQ825_spl
| ~ ssList(nil)
| ~ rearsegP(nil,skaf81(X0))
| nil = skaf81(X0)
| ~ ssList(nil)
| ~ ssList(skaf81(X0))
| ~ ssList(skaf81(X0))
| ~ rearsegP(nil,skaf81(X0)) ),
inference(resolution,[status(thm)],[f6661,f852]) ).
fof(f6679,plain,
! [X0,X1,X2] :
( ~ sQ825_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf81(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf81(X1)) ),
inference(resolution,[status(thm)],[f6661,f852]) ).
fof(f6681,plain,
! [X0,X1,X2] :
( ~ sQ825_spl
| ~ ssList(X2)
| ~ rearsegP(X2,skaf81(X1))
| ~ rearsegP(X0,X2)
| nil = skaf81(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf81(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f6661,f852]) ).
fof(f6682,plain,
! [X0,X1] :
( ~ sQ825_spl
| nil = skaf81(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf81(X1))
| ~ rearsegP(X0,skaf81(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f6661,f727]) ).
fof(f6683,plain,
! [X0,X1] :
( ~ sQ825_spl
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf81(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf81(X1)) ),
inference(resolution,[status(thm)],[f6661,f727]) ).
fof(f6684,plain,
! [X0] :
( ~ sQ825_spl
| skaf81(X0) = nil
| ~ ssList(skaf81(X0))
| ~ ssList(nil)
| ~ rearsegP(nil,skaf81(X0)) ),
inference(resolution,[status(thm)],[f6661,f340]) ).
fof(f6689,definition,
! [X0,X1,X2] :
( sQ828_spl
<=> ( ~ ssList(skaf81(X2))
| ~ rearsegP(X1,skaf81(X2))
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ828_spl])],[split_symbol_definition]) ).
fof(f6692,plain,
( ~ sQ825_spl
| ~ sQ14_spl
| sQ828_spl ),
inference(split_clause,[status(thm)],[f6672,f6689,f581,f6660]) ).
fof(f6693,definition,
! [X0,X1,X2] :
( sQ829_spl
<=> ( ~ rearsegP(nil,X0)
| X0 = skaf81(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf81(X2))
| ~ rearsegP(X1,skaf81(X2))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ829_spl])],[split_symbol_definition]) ).
fof(f6696,plain,
( ~ sQ825_spl
| ~ sQ14_spl
| sQ829_spl ),
inference(split_clause,[status(thm)],[f6673,f6693,f581,f6660]) ).
fof(f6699,definition,
! [X0,X1] :
( sQ830_spl
<=> ( app(X0,skaf81(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf81(X1)))
| ~ ssList(skaf81(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ830_spl])],[split_symbol_definition]) ).
fof(f6702,plain,
( ~ sQ825_spl
| ~ sQ14_spl
| sQ830_spl ),
inference(split_clause,[status(thm)],[f6676,f6699,f581,f6660]) ).
fof(f6703,definition,
! [X0,X1,X2] :
( sQ831_spl
<=> ( ~ ssList(skaf81(X2))
| ~ rearsegP(X1,skaf81(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ831_spl])],[split_symbol_definition]) ).
fof(f6706,plain,
( ~ sQ825_spl
| ~ sQ14_spl
| sQ831_spl ),
inference(split_clause,[status(thm)],[f6677,f6703,f581,f6660]) ).
fof(f6707,definition,
! [X0] :
( sQ832_spl
<=> ( ~ rearsegP(nil,skaf81(X0))
| nil = skaf81(X0)
| ~ ssList(skaf81(X0))
| ~ ssList(skaf81(X0))
| ~ rearsegP(nil,skaf81(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ832_spl])],[split_symbol_definition]) ).
fof(f6710,plain,
( ~ sQ825_spl
| ~ sQ14_spl
| sQ832_spl ),
inference(split_clause,[status(thm)],[f6678,f6707,f581,f6660]) ).
fof(f6711,definition,
! [X0,X1,X2] :
( sQ833_spl
<=> ( ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf81(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf81(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ833_spl])],[split_symbol_definition]) ).
fof(f6714,plain,
( ~ sQ825_spl
| ~ sQ14_spl
| sQ833_spl ),
inference(split_clause,[status(thm)],[f6679,f6711,f581,f6660]) ).
fof(f6716,definition,
! [X0,X1,X2] :
( sQ834_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,skaf81(X1))
| ~ rearsegP(X0,X2)
| nil = skaf81(X1)
| ~ ssList(X0)
| ~ ssList(skaf81(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ834_spl])],[split_symbol_definition]) ).
fof(f6719,plain,
( ~ sQ825_spl
| ~ sQ14_spl
| sQ834_spl ),
inference(split_clause,[status(thm)],[f6681,f6716,f581,f6660]) ).
fof(f6720,definition,
! [X0,X1] :
( sQ835_spl
<=> ( nil = skaf81(X1)
| ~ ssList(X0)
| ~ ssList(skaf81(X1))
| ~ rearsegP(X0,skaf81(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ835_spl])],[split_symbol_definition]) ).
fof(f6723,plain,
( ~ sQ825_spl
| ~ sQ14_spl
| sQ835_spl ),
inference(split_clause,[status(thm)],[f6682,f6720,f581,f6660]) ).
fof(f6724,definition,
! [X0,X1] :
( sQ836_spl
<=> ( X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf81(X1))
| ~ rearsegP(X0,skaf81(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ836_spl])],[split_symbol_definition]) ).
fof(f6727,plain,
( ~ sQ825_spl
| ~ sQ14_spl
| sQ836_spl ),
inference(split_clause,[status(thm)],[f6683,f6724,f581,f6660]) ).
fof(f6728,definition,
! [X0] :
( sQ837_spl
<=> ( skaf81(X0) = nil
| ~ ssList(skaf81(X0))
| ~ rearsegP(nil,skaf81(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ837_spl])],[split_symbol_definition]) ).
fof(f6731,plain,
( ~ sQ825_spl
| ~ sQ14_spl
| sQ837_spl ),
inference(split_clause,[status(thm)],[f6684,f6728,f581,f6660]) ).
fof(f6738,plain,
! [X0] :
( ~ sQ440_spl
| ~ ssList(nil)
| rearsegP(skaf82(X0),nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f4051,f257]) ).
fof(f6739,plain,
! [X0,X1,X2] :
( ~ sQ440_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf82(X1),X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f4051,f376]) ).
fof(f6741,definition,
! [X0] :
( sQ838_spl
<=> rearsegP(skaf82(X0),nil) ),
introduced(definition,[new_symbols(definition,[sQ838_spl])],[split_symbol_definition]) ).
fof(f6742,plain,
! [X0] :
( ~ sQ838_spl
| rearsegP(skaf82(X0),nil) ),
inference(component_clause,[status(thm)],[f6741]) ).
fof(f6745,plain,
( ~ sQ440_spl
| sQ838_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f6738,f581,f6741,f4039]) ).
fof(f6746,definition,
! [X0,X1,X2] :
( sQ839_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| rearsegP(skaf82(X1),X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ839_spl])],[split_symbol_definition]) ).
fof(f6749,plain,
( ~ sQ440_spl
| ~ sQ14_spl
| sQ839_spl ),
inference(split_clause,[status(thm)],[f6739,f6746,f581,f4039]) ).
fof(f6753,plain,
! [X0,X1,X2] :
( ~ sQ838_spl
| ~ ssList(skaf82(X2))
| ~ rearsegP(X1,skaf82(X2))
| nil = X1
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f6742,f861]) ).
fof(f6754,plain,
! [X0,X1,X2] :
( ~ sQ838_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X0)
| X0 = skaf82(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf82(X2))
| ~ rearsegP(X1,skaf82(X2))
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f6742,f861]) ).
fof(f6757,plain,
! [X0,X1] :
( ~ sQ838_spl
| app(X0,skaf82(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf82(X1)))
| ~ ssList(skaf82(X1))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f6742,f3325]) ).
fof(f6758,plain,
! [X0,X1,X2] :
( ~ sQ838_spl
| ~ ssList(skaf82(X2))
| ~ rearsegP(X1,skaf82(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ rearsegP(X0,X1) ),
inference(resolution,[status(thm)],[f6742,f852]) ).
fof(f6759,plain,
! [X0] :
( ~ sQ838_spl
| ~ ssList(nil)
| ~ rearsegP(nil,skaf82(X0))
| nil = skaf82(X0)
| ~ ssList(nil)
| ~ ssList(skaf82(X0))
| ~ ssList(skaf82(X0))
| ~ rearsegP(nil,skaf82(X0)) ),
inference(resolution,[status(thm)],[f6742,f852]) ).
fof(f6760,plain,
! [X0,X1,X2] :
( ~ sQ838_spl
| ~ ssList(nil)
| ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf82(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf82(X1)) ),
inference(resolution,[status(thm)],[f6742,f852]) ).
fof(f6762,plain,
! [X0,X1,X2] :
( ~ sQ838_spl
| ~ ssList(X2)
| ~ rearsegP(X2,skaf82(X1))
| ~ rearsegP(X0,X2)
| nil = skaf82(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf82(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f6742,f852]) ).
fof(f6763,plain,
! [X0,X1] :
( ~ sQ838_spl
| nil = skaf82(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf82(X1))
| ~ rearsegP(X0,skaf82(X1))
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f6742,f727]) ).
fof(f6764,plain,
! [X0,X1] :
( ~ sQ838_spl
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf82(X1))
| ~ ssList(nil)
| ~ rearsegP(X0,skaf82(X1)) ),
inference(resolution,[status(thm)],[f6742,f727]) ).
fof(f6765,plain,
! [X0] :
( ~ sQ838_spl
| skaf82(X0) = nil
| ~ ssList(skaf82(X0))
| ~ ssList(nil)
| ~ rearsegP(nil,skaf82(X0)) ),
inference(resolution,[status(thm)],[f6742,f340]) ).
fof(f6770,definition,
! [X0,X1,X2] :
( sQ841_spl
<=> ( ~ ssList(skaf82(X2))
| ~ rearsegP(X1,skaf82(X2))
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ841_spl])],[split_symbol_definition]) ).
fof(f6773,plain,
( ~ sQ838_spl
| ~ sQ14_spl
| sQ841_spl ),
inference(split_clause,[status(thm)],[f6753,f6770,f581,f6741]) ).
fof(f6774,definition,
! [X0,X1,X2] :
( sQ842_spl
<=> ( ~ rearsegP(nil,X0)
| X0 = skaf82(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(skaf82(X2))
| ~ rearsegP(X1,skaf82(X2))
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ842_spl])],[split_symbol_definition]) ).
fof(f6777,plain,
( ~ sQ838_spl
| ~ sQ14_spl
| sQ842_spl ),
inference(split_clause,[status(thm)],[f6754,f6774,f581,f6741]) ).
fof(f6780,definition,
! [X0,X1] :
( sQ843_spl
<=> ( app(X0,skaf82(X1)) = nil
| ~ rearsegP(nil,app(X0,skaf82(X1)))
| ~ ssList(skaf82(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ843_spl])],[split_symbol_definition]) ).
fof(f6783,plain,
( ~ sQ838_spl
| ~ sQ14_spl
| sQ843_spl ),
inference(split_clause,[status(thm)],[f6757,f6780,f581,f6741]) ).
fof(f6784,definition,
! [X0,X1,X2] :
( sQ844_spl
<=> ( ~ ssList(skaf82(X2))
| ~ rearsegP(X1,skaf82(X2))
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ844_spl])],[split_symbol_definition]) ).
fof(f6787,plain,
( ~ sQ838_spl
| ~ sQ14_spl
| sQ844_spl ),
inference(split_clause,[status(thm)],[f6758,f6784,f581,f6741]) ).
fof(f6788,definition,
! [X0] :
( sQ845_spl
<=> ( ~ rearsegP(nil,skaf82(X0))
| nil = skaf82(X0)
| ~ ssList(skaf82(X0))
| ~ ssList(skaf82(X0))
| ~ rearsegP(nil,skaf82(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ845_spl])],[split_symbol_definition]) ).
fof(f6791,plain,
( ~ sQ838_spl
| ~ sQ14_spl
| sQ845_spl ),
inference(split_clause,[status(thm)],[f6759,f6788,f581,f6741]) ).
fof(f6792,definition,
! [X0,X1,X2] :
( sQ846_spl
<=> ( ~ rearsegP(nil,X2)
| X0 = X2
| ~ rearsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(skaf82(X1))
| ~ ssList(X2)
| ~ rearsegP(X0,skaf82(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ846_spl])],[split_symbol_definition]) ).
fof(f6795,plain,
( ~ sQ838_spl
| ~ sQ14_spl
| sQ846_spl ),
inference(split_clause,[status(thm)],[f6760,f6792,f581,f6741]) ).
fof(f6797,definition,
! [X0,X1,X2] :
( sQ847_spl
<=> ( ~ ssList(X2)
| ~ rearsegP(X2,skaf82(X1))
| ~ rearsegP(X0,X2)
| nil = skaf82(X1)
| ~ ssList(X0)
| ~ ssList(skaf82(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ847_spl])],[split_symbol_definition]) ).
fof(f6800,plain,
( ~ sQ838_spl
| ~ sQ14_spl
| sQ847_spl ),
inference(split_clause,[status(thm)],[f6762,f6797,f581,f6741]) ).
fof(f6801,definition,
! [X0,X1] :
( sQ848_spl
<=> ( nil = skaf82(X1)
| ~ ssList(X0)
| ~ ssList(skaf82(X1))
| ~ rearsegP(X0,skaf82(X1))
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ848_spl])],[split_symbol_definition]) ).
fof(f6804,plain,
( ~ sQ838_spl
| ~ sQ14_spl
| sQ848_spl ),
inference(split_clause,[status(thm)],[f6763,f6801,f581,f6741]) ).
fof(f6805,definition,
! [X0,X1] :
( sQ849_spl
<=> ( X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(skaf82(X1))
| ~ rearsegP(X0,skaf82(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ849_spl])],[split_symbol_definition]) ).
fof(f6808,plain,
( ~ sQ838_spl
| ~ sQ14_spl
| sQ849_spl ),
inference(split_clause,[status(thm)],[f6764,f6805,f581,f6741]) ).
fof(f6809,definition,
! [X0] :
( sQ850_spl
<=> ( skaf82(X0) = nil
| ~ ssList(skaf82(X0))
| ~ rearsegP(nil,skaf82(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ850_spl])],[split_symbol_definition]) ).
fof(f6812,plain,
( ~ sQ838_spl
| ~ sQ14_spl
| sQ850_spl ),
inference(split_clause,[status(thm)],[f6765,f6809,f581,f6741]) ).
fof(f6826,plain,
! [X0,X1] :
( ~ sQ128_spl
| app(sk4,X1) = X0
| ~ segmentP(X0,app(sk4,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1751,f3357]) ).
fof(f6830,plain,
! [X0] :
( ~ sQ128_spl
| ~ ssList(sk4)
| app(sk4,X0) = sk4
| ~ segmentP(sk4,app(sk4,X0))
| ~ ssList(sk4)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f6826,f256]) ).
fof(f6831,definition,
! [X0] :
( sQ851_spl
<=> ( app(sk4,X0) = sk4
| ~ segmentP(sk4,app(sk4,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ851_spl])],[split_symbol_definition]) ).
fof(f6837,plain,
( ~ sQ128_spl
| ~ sQ10_spl
| sQ851_spl ),
inference(split_clause,[status(thm)],[f6830,f6831,f554,f1744]) ).
fof(f6841,plain,
! [X0] :
( ~ ssList(X0)
| cons(skac2,app(sk4,X0)) != app(sk4,X0) ),
inference(resolution,[status(thm)],[f6448,f3357]) ).
fof(f6842,plain,
! [X0] :
( ~ ssList(X0)
| cons(skac2,app(sk3,X0)) != app(sk3,X0) ),
inference(resolution,[status(thm)],[f6448,f3329]) ).
fof(f6878,plain,
! [X0] :
( ~ ssList(X0)
| cons(skac3,app(sk4,X0)) != app(sk4,X0) ),
inference(resolution,[status(thm)],[f6449,f3357]) ).
fof(f6879,plain,
! [X0] :
( ~ ssList(X0)
| cons(skac3,app(sk3,X0)) != app(sk3,X0) ),
inference(resolution,[status(thm)],[f6449,f3329]) ).
fof(f6978,plain,
( ~ ssList(nil)
| cons(skac2,sk4) != app(sk4,nil) ),
inference(paramodulation,[status(thm)],[f1018,f6841]) ).
fof(f6979,definition,
( sQ859_spl
<=> cons(skac2,sk4) = app(sk4,nil) ),
introduced(definition,[new_symbols(definition,[sQ859_spl])],[split_symbol_definition]) ).
fof(f6982,plain,
( ~ sQ14_spl
| ~ sQ859_spl ),
inference(split_clause,[status(thm)],[f6978,f6979,f581]) ).
fof(f6984,plain,
( ~ ssList(nil)
| cons(skac2,sk3) != app(sk3,nil) ),
inference(paramodulation,[status(thm)],[f989,f6842]) ).
fof(f6985,definition,
( sQ860_spl
<=> cons(skac2,sk3) = app(sk3,nil) ),
introduced(definition,[new_symbols(definition,[sQ860_spl])],[split_symbol_definition]) ).
fof(f6988,plain,
( ~ sQ14_spl
| ~ sQ860_spl ),
inference(split_clause,[status(thm)],[f6984,f6985,f581]) ).
fof(f6990,plain,
! [X0,X1] :
( ~ sQ124_spl
| app(sk3,X1) = X0
| ~ segmentP(X0,app(sk3,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1753,f3329]) ).
fof(f6992,plain,
! [X0] :
( ~ sQ124_spl
| ~ ssList(nil)
| app(sk3,X0) = nil
| ~ segmentP(nil,app(sk3,X0))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f6990,f255]) ).
fof(f6994,definition,
! [X0] :
( sQ861_spl
<=> ( app(sk3,X0) = nil
| ~ segmentP(nil,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ861_spl])],[split_symbol_definition]) ).
fof(f6998,plain,
( ~ sQ124_spl
| ~ sQ14_spl
| sQ861_spl ),
inference(split_clause,[status(thm)],[f6992,f6994,f581,f1728]) ).
fof(f7000,plain,
! [X0,X1,X2] :
( app(app(nil,X0),X1) = X2
| ~ segmentP(X2,app(app(nil,X0),X1))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ segmentP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3397,f742]) ).
fof(f7001,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X2)
| ~ ssList(X3)
| ~ segmentP(X3,app(app(nil,X0),X1))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ segmentP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3397,f741]) ).
fof(f7002,plain,
! [X0,X1] :
( segmentP(app(app(nil,X0),X1),X0)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3397,f501]) ).
fof(f7030,plain,
! [X0] :
( ssList(app(nil,X0))
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1004,f3397]) ).
fof(f7031,plain,
! [X0] :
( ssList(app(sk3,X0))
| ~ ssList(X0)
| ~ ssList(sk3) ),
inference(paramodulation,[status(thm)],[f1206,f3397]) ).
fof(f7032,plain,
! [X0] :
( ssList(app(sk4,X0))
| ~ ssList(X0)
| ~ ssList(sk4) ),
inference(paramodulation,[status(thm)],[f1235,f3397]) ).
fof(f7033,definition,
! [X0,X1,X2] :
( sQ862_spl
<=> ( app(app(nil,X0),X1) = X2
| ~ segmentP(X2,app(app(nil,X0),X1))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ862_spl])],[split_symbol_definition]) ).
fof(f7036,plain,
( ~ sQ14_spl
| sQ862_spl ),
inference(split_clause,[status(thm)],[f7000,f7033,f581]) ).
fof(f7037,definition,
! [X0,X1,X2,X3] :
( sQ863_spl
<=> ( segmentP(X3,X2)
| ~ ssList(X3)
| ~ segmentP(X3,app(app(nil,X0),X1))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ863_spl])],[split_symbol_definition]) ).
fof(f7040,plain,
( ~ sQ14_spl
| sQ863_spl ),
inference(split_clause,[status(thm)],[f7001,f7037,f581]) ).
fof(f7041,definition,
! [X0,X1] :
( sQ864_spl
<=> ( segmentP(app(app(nil,X0),X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ864_spl])],[split_symbol_definition]) ).
fof(f7044,plain,
( ~ sQ14_spl
| sQ864_spl ),
inference(split_clause,[status(thm)],[f7002,f7041,f581]) ).
fof(f7045,definition,
! [X0] :
( sQ865_spl
<=> ( ssList(app(nil,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ865_spl])],[split_symbol_definition]) ).
fof(f7048,plain,
( sQ865_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f7030,f581,f7045]) ).
fof(f7049,plain,
( sQ507_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f7031,f572,f4467]) ).
fof(f7050,plain,
( sQ511_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f7032,f554,f4493]) ).
fof(f7055,plain,
! [X0] :
( ~ sQ55_spl
| ~ ssList(nil)
| X0 = nil
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f985,f257]) ).
fof(f7056,plain,
! [X0,X1,X2] :
( ~ sQ55_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| X1 = X0
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f985,f376]) ).
fof(f7059,plain,
( ~ sQ55_spl
| sQ37_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f7055,f581,f796,f957]) ).
fof(f7060,definition,
! [X0,X1,X2] :
( sQ866_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| X1 = X0
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ866_spl])],[split_symbol_definition]) ).
fof(f7063,plain,
( ~ sQ55_spl
| ~ sQ14_spl
| sQ866_spl ),
inference(split_clause,[status(thm)],[f7056,f7060,f581,f957]) ).
fof(f7274,plain,
! [X0,X1] :
( ~ sQ127_spl
| app(sk3,X1) = X0
| ~ segmentP(X0,app(sk3,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1755,f3329]) ).
fof(f7278,plain,
! [X0] :
( ~ sQ127_spl
| ~ ssList(sk3)
| app(sk3,X0) = sk3
| ~ segmentP(sk3,app(sk3,X0))
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f7274,f256]) ).
fof(f7279,definition,
! [X0] :
( sQ867_spl
<=> ( app(sk3,X0) = sk3
| ~ segmentP(sk3,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ867_spl])],[split_symbol_definition]) ).
fof(f7285,plain,
( ~ sQ127_spl
| ~ sQ12_spl
| sQ867_spl ),
inference(split_clause,[status(thm)],[f7278,f7279,f572,f1740]) ).
fof(f7286,plain,
! [X0,X1] :
( ~ sQ126_spl
| app(nil,X1) = X0
| ~ segmentP(X0,app(nil,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1757,f3328]) ).
fof(f7288,plain,
! [X0] :
( ~ sQ126_spl
| ~ ssList(nil)
| app(nil,X0) = nil
| ~ segmentP(nil,app(nil,X0))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f7286,f255]) ).
fof(f7290,definition,
! [X0] :
( sQ868_spl
<=> ( app(nil,X0) = nil
| ~ segmentP(nil,app(nil,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ868_spl])],[split_symbol_definition]) ).
fof(f7294,plain,
( ~ sQ126_spl
| ~ sQ14_spl
| sQ868_spl ),
inference(split_clause,[status(thm)],[f7288,f7290,f581,f1736]) ).
fof(f7298,plain,
( ~ ssList(nil)
| cons(skac3,sk4) != app(sk4,nil) ),
inference(paramodulation,[status(thm)],[f1018,f6878]) ).
fof(f7299,definition,
( sQ869_spl
<=> cons(skac3,sk4) = app(sk4,nil) ),
introduced(definition,[new_symbols(definition,[sQ869_spl])],[split_symbol_definition]) ).
fof(f7302,plain,
( ~ sQ14_spl
| ~ sQ869_spl ),
inference(split_clause,[status(thm)],[f7298,f7299,f581]) ).
fof(f7304,plain,
( ~ ssList(nil)
| cons(skac3,sk3) != app(sk3,nil) ),
inference(paramodulation,[status(thm)],[f989,f6879]) ).
fof(f7305,definition,
( sQ870_spl
<=> cons(skac3,sk3) = app(sk3,nil) ),
introduced(definition,[new_symbols(definition,[sQ870_spl])],[split_symbol_definition]) ).
fof(f7308,plain,
( ~ sQ14_spl
| ~ sQ870_spl ),
inference(split_clause,[status(thm)],[f7304,f7305,f581]) ).
fof(f7320,plain,
! [X0,X1] :
( ~ sQ109_spl
| ~ sQ679_spl
| ~ ssList(app(sk3,X0))
| ~ ssList(X1)
| ~ segmentP(sk4,app(sk3,X0))
| segmentP(app(sk4,X1),sk3)
| ~ ssList(app(sk4,X1))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f5609,f1352]) ).
fof(f7321,plain,
! [X0,X1] :
( ~ sQ94_spl
| ~ sQ679_spl
| ~ ssList(app(sk3,X0))
| ~ ssList(X1)
| ~ segmentP(sk3,app(sk3,X0))
| segmentP(app(sk3,X1),sk3)
| ~ ssList(app(sk3,X1))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f5609,f1260]) ).
fof(f7326,plain,
! [X0] :
( ~ sQ679_spl
| segmentP(X0,sk3)
| ~ ssList(X0)
| ~ segmentP(X0,sk3)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f989,f5609]) ).
fof(f7327,definition,
! [X0] :
( sQ873_spl
<=> ( ~ ssList(app(sk3,X0))
| ~ segmentP(sk4,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ873_spl])],[split_symbol_definition]) ).
fof(f7328,plain,
! [X0] :
( ~ sQ873_spl
| ~ ssList(app(sk3,X0))
| ~ segmentP(sk4,app(sk3,X0))
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f7327]) ).
fof(f7330,definition,
! [X1] :
( sQ874_spl
<=> ( ~ ssList(X1)
| segmentP(app(sk4,X1),sk3)
| ~ ssList(app(sk4,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ874_spl])],[split_symbol_definition]) ).
fof(f7331,plain,
! [X0] :
( ~ sQ874_spl
| ~ ssList(X0)
| segmentP(app(sk4,X0),sk3)
| ~ ssList(app(sk4,X0)) ),
inference(component_clause,[status(thm)],[f7330]) ).
fof(f7333,plain,
( ~ sQ109_spl
| ~ sQ679_spl
| sQ874_spl
| sQ873_spl ),
inference(split_clause,[status(thm)],[f7320,f7327,f7330,f5608,f1351]) ).
fof(f7334,definition,
! [X0] :
( sQ875_spl
<=> ( ~ ssList(app(sk3,X0))
| ~ segmentP(sk3,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ875_spl])],[split_symbol_definition]) ).
fof(f7335,plain,
! [X0] :
( ~ sQ875_spl
| ~ ssList(app(sk3,X0))
| ~ segmentP(sk3,app(sk3,X0))
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f7334]) ).
fof(f7337,definition,
! [X1] :
( sQ876_spl
<=> ( ~ ssList(X1)
| segmentP(app(sk3,X1),sk3)
| ~ ssList(app(sk3,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ876_spl])],[split_symbol_definition]) ).
fof(f7340,plain,
( ~ sQ94_spl
| ~ sQ679_spl
| sQ876_spl
| sQ875_spl ),
inference(split_clause,[status(thm)],[f7321,f7334,f7337,f5608,f1259]) ).
fof(f7345,plain,
( ~ sQ679_spl
| sQ736_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f7326,f581,f5969,f5608]) ).
fof(f7346,plain,
! [X0] :
( ~ sQ875_spl
| ~ segmentP(sk3,app(sk3,X0))
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f7335,f3329]) ).
fof(f7347,plain,
! [X0] :
( ~ sQ873_spl
| ~ segmentP(sk4,app(sk3,X0))
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f7328,f3329]) ).
fof(f7366,plain,
! [X0,X1] :
( ~ sQ129_spl
| app(skaf51(X1),nil) = X0
| ~ ssList(skaf51(X1))
| ~ segmentP(X0,app(skaf51(X1),nil))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f996,f1865]) ).
fof(f7367,definition,
! [X0,X1] :
( sQ879_spl
<=> ( app(skaf51(X1),nil) = X0
| ~ ssList(skaf51(X1))
| ~ segmentP(X0,app(skaf51(X1),nil))
| ~ ssList(X0)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ879_spl])],[split_symbol_definition]) ).
fof(f7370,plain,
( ~ sQ129_spl
| ~ sQ14_spl
| sQ879_spl ),
inference(split_clause,[status(thm)],[f7366,f7367,f581,f1835]) ).
fof(f7374,plain,
! [X0,X1,X2] :
( ~ sQ130_spl
| segmentP(X1,X0)
| ~ ssList(X1)
| ~ ssList(skaf51(X2))
| ~ segmentP(X1,app(skaf51(X2),nil))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f996,f1867]) ).
fof(f7375,definition,
! [X0,X1,X2] :
( sQ880_spl
<=> ( segmentP(X1,X0)
| ~ ssList(X1)
| ~ ssList(skaf51(X2))
| ~ segmentP(X1,app(skaf51(X2),nil))
| ~ ssList(X0)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ880_spl])],[split_symbol_definition]) ).
fof(f7378,plain,
( ~ sQ130_spl
| ~ sQ14_spl
| sQ880_spl ),
inference(split_clause,[status(thm)],[f7374,f7375,f581,f1839]) ).
fof(f7471,plain,
( ~ sQ875_spl
| ~ segmentP(sk3,sk3)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f989,f7346]) ).
fof(f7472,plain,
( ~ sQ875_spl
| ~ sQ735_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f7471,f581,f5957,f7334]) ).
fof(f7473,plain,
( ~ sQ873_spl
| ~ segmentP(sk4,sk3)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f989,f7347]) ).
fof(f7474,plain,
( ~ sQ873_spl
| ~ sQ20_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f7473,f581,f643,f7327]) ).
fof(f7475,plain,
! [X0] :
( ~ sQ874_spl
| ~ ssList(X0)
| segmentP(app(sk4,X0),sk3) ),
inference(forward_subsumption_resolution,[status(thm)],[f7331,f3357]) ).
fof(f7493,plain,
! [X0] :
( ~ sQ131_spl
| ~ ssList(nil)
| skaf51(X0) = nil
| ~ rearsegP(nil,skaf51(X0))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f1871,f257]) ).
fof(f7494,plain,
! [X0,X1,X2] :
( ~ sQ131_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| skaf51(X1) = X0
| ~ rearsegP(X0,skaf51(X1))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1871,f376]) ).
fof(f7496,definition,
! [X0] :
( sQ888_spl
<=> ( skaf51(X0) = nil
| ~ rearsegP(nil,skaf51(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ888_spl])],[split_symbol_definition]) ).
fof(f7497,plain,
! [X0] :
( ~ sQ888_spl
| skaf51(X0) = nil
| ~ rearsegP(nil,skaf51(X0)) ),
inference(component_clause,[status(thm)],[f7496]) ).
fof(f7500,plain,
( ~ sQ131_spl
| sQ888_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f7493,f581,f7496,f1843]) ).
fof(f7501,definition,
! [X0,X1,X2] :
( sQ889_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| skaf51(X1) = X0
| ~ rearsegP(X0,skaf51(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ889_spl])],[split_symbol_definition]) ).
fof(f7504,plain,
( ~ sQ131_spl
| ~ sQ14_spl
| sQ889_spl ),
inference(split_clause,[status(thm)],[f7494,f7501,f581,f1843]) ).
fof(f7508,plain,
! [X0,X1] :
( ~ sQ133_spl
| ~ ssList(nil)
| segmentP(app(skaf51(X1),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1873,f255]) ).
fof(f7510,definition,
! [X0,X1] :
( sQ890_spl
<=> ( segmentP(app(skaf51(X1),X0),nil)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ890_spl])],[split_symbol_definition]) ).
fof(f7511,plain,
! [X0,X1] :
( ~ sQ890_spl
| segmentP(app(skaf51(X1),X0),nil)
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f7510]) ).
fof(f7514,plain,
( ~ sQ133_spl
| ~ sQ14_spl
| sQ890_spl ),
inference(split_clause,[status(thm)],[f7508,f7510,f581,f1851]) ).
fof(f7516,plain,
! [X0,X1] :
( ~ sQ874_spl
| segmentP(X1,sk3)
| ~ ssList(X1)
| ~ ssList(app(sk4,X0))
| ~ ssList(sk3)
| ~ segmentP(X1,app(sk4,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f7475,f374]) ).
fof(f7517,plain,
! [X0] :
( ~ sQ874_spl
| app(sk4,X0) = sk3
| ~ ssList(app(sk4,X0))
| ~ ssList(sk3)
| ~ segmentP(sk3,app(sk4,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f7475,f339]) ).
fof(f7518,plain,
( ~ sQ874_spl
| ~ ssList(nil)
| segmentP(sk4,sk3) ),
inference(paramodulation,[status(thm)],[f1018,f7475]) ).
fof(f7519,definition,
! [X0,X1] :
( sQ891_spl
<=> ( segmentP(X1,sk3)
| ~ ssList(X1)
| ~ ssList(app(sk4,X0))
| ~ segmentP(X1,app(sk4,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ891_spl])],[split_symbol_definition]) ).
fof(f7522,plain,
( ~ sQ874_spl
| ~ sQ12_spl
| sQ891_spl ),
inference(split_clause,[status(thm)],[f7516,f7519,f572,f7330]) ).
fof(f7523,definition,
! [X0] :
( sQ892_spl
<=> ( app(sk4,X0) = sk3
| ~ ssList(app(sk4,X0))
| ~ segmentP(sk3,app(sk4,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ892_spl])],[split_symbol_definition]) ).
fof(f7526,plain,
( ~ sQ874_spl
| ~ sQ12_spl
| sQ892_spl ),
inference(split_clause,[status(thm)],[f7517,f7523,f572,f7330]) ).
fof(f7527,plain,
( ~ sQ874_spl
| ~ sQ14_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f7518,f643,f581,f7330]) ).
fof(f7587,plain,
! [X0,X1] :
( ~ sQ888_spl
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf51(X0))
| ~ rearsegP(X1,skaf51(X0))
| ~ rearsegP(nil,X1)
| skaf51(X0) = nil ),
inference(resolution,[status(thm)],[f7497,f376]) ).
fof(f7588,plain,
( ~ sQ888_spl
| ~ sQ14_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f7587,f2287,f581,f7496]) ).
fof(f7589,plain,
! [X0,X1,X2] :
( ~ sQ890_spl
| segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(app(skaf51(X2),X0))
| ~ ssList(nil)
| ~ segmentP(X1,app(skaf51(X2),X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f7511,f374]) ).
fof(f7590,plain,
! [X0,X1] :
( ~ sQ890_spl
| app(skaf51(X1),X0) = nil
| ~ ssList(app(skaf51(X1),X0))
| ~ ssList(nil)
| ~ segmentP(nil,app(skaf51(X1),X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f7511,f339]) ).
fof(f7591,plain,
! [X0] :
( ~ sQ890_spl
| segmentP(skaf51(X0),nil)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f996,f7511]) ).
fof(f7592,definition,
! [X0,X1,X2] :
( sQ895_spl
<=> ( segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(app(skaf51(X2),X0))
| ~ segmentP(X1,app(skaf51(X2),X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ895_spl])],[split_symbol_definition]) ).
fof(f7595,plain,
( ~ sQ890_spl
| ~ sQ14_spl
| sQ895_spl ),
inference(split_clause,[status(thm)],[f7589,f7592,f581,f7510]) ).
fof(f7596,definition,
! [X0,X1] :
( sQ896_spl
<=> ( app(skaf51(X1),X0) = nil
| ~ ssList(app(skaf51(X1),X0))
| ~ segmentP(nil,app(skaf51(X1),X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ896_spl])],[split_symbol_definition]) ).
fof(f7599,plain,
( ~ sQ890_spl
| ~ sQ14_spl
| sQ896_spl ),
inference(split_clause,[status(thm)],[f7590,f7596,f581,f7510]) ).
fof(f7600,definition,
! [X0] :
( sQ897_spl
<=> segmentP(skaf51(X0),nil) ),
introduced(definition,[new_symbols(definition,[sQ897_spl])],[split_symbol_definition]) ).
fof(f7601,plain,
! [X0] :
( ~ sQ897_spl
| segmentP(skaf51(X0),nil) ),
inference(component_clause,[status(thm)],[f7600]) ).
fof(f7603,plain,
( ~ sQ890_spl
| sQ897_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f7591,f581,f7600,f7510]) ).
fof(f7604,plain,
! [X0,X1] :
( ~ sQ897_spl
| segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ~ ssList(nil)
| ~ segmentP(X0,skaf51(X1)) ),
inference(resolution,[status(thm)],[f7601,f374]) ).
fof(f7605,plain,
! [X0] :
( ~ sQ897_spl
| skaf51(X0) = nil
| ~ ssList(skaf51(X0))
| ~ ssList(nil)
| ~ segmentP(nil,skaf51(X0)) ),
inference(resolution,[status(thm)],[f7601,f339]) ).
fof(f7606,definition,
! [X0,X1] :
( sQ898_spl
<=> ( segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ~ segmentP(X0,skaf51(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ898_spl])],[split_symbol_definition]) ).
fof(f7609,plain,
( ~ sQ897_spl
| ~ sQ14_spl
| sQ898_spl ),
inference(split_clause,[status(thm)],[f7604,f7606,f581,f7600]) ).
fof(f7610,definition,
! [X0] :
( sQ899_spl
<=> ( skaf51(X0) = nil
| ~ ssList(skaf51(X0))
| ~ segmentP(nil,skaf51(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ899_spl])],[split_symbol_definition]) ).
fof(f7613,plain,
( ~ sQ897_spl
| ~ sQ14_spl
| sQ899_spl ),
inference(split_clause,[status(thm)],[f7605,f7610,f581,f7600]) ).
fof(f7614,plain,
! [X0,X1] :
( ~ sQ136_spl
| app(skaf52(X1),nil) = X0
| ~ ssList(skaf52(X1))
| ~ segmentP(X0,app(skaf52(X1),nil))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f997,f1914]) ).
fof(f7615,definition,
! [X0,X1] :
( sQ900_spl
<=> ( app(skaf52(X1),nil) = X0
| ~ ssList(skaf52(X1))
| ~ segmentP(X0,app(skaf52(X1),nil))
| ~ ssList(X0)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ900_spl])],[split_symbol_definition]) ).
fof(f7618,plain,
( ~ sQ136_spl
| ~ sQ14_spl
| sQ900_spl ),
inference(split_clause,[status(thm)],[f7614,f7615,f581,f1884]) ).
fof(f7622,plain,
! [X0,X1,X2] :
( ~ sQ137_spl
| segmentP(X1,X0)
| ~ ssList(X1)
| ~ ssList(skaf52(X2))
| ~ segmentP(X1,app(skaf52(X2),nil))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f997,f1916]) ).
fof(f7623,definition,
! [X0,X1,X2] :
( sQ901_spl
<=> ( segmentP(X1,X0)
| ~ ssList(X1)
| ~ ssList(skaf52(X2))
| ~ segmentP(X1,app(skaf52(X2),nil))
| ~ ssList(X0)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ901_spl])],[split_symbol_definition]) ).
fof(f7626,plain,
( ~ sQ137_spl
| ~ sQ14_spl
| sQ901_spl ),
inference(split_clause,[status(thm)],[f7622,f7623,f581,f1888]) ).
fof(f7667,plain,
! [X0] :
( ~ ssList(nil)
| ~ ssItem(X0)
| singletonP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[f492,f286]) ).
fof(f7668,definition,
! [X0] :
( sQ902_spl
<=> ( ~ ssItem(X0)
| singletonP(cons(X0,nil))
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ902_spl])],[split_symbol_definition]) ).
fof(f7671,plain,
( ~ sQ14_spl
| sQ902_spl ),
inference(split_clause,[status(thm)],[f7667,f7668,f581]) ).
fof(f7956,plain,
! [X0] :
( ~ sQ138_spl
| ~ ssList(nil)
| skaf52(X0) = nil
| ~ rearsegP(nil,skaf52(X0))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f1920,f257]) ).
fof(f7957,plain,
! [X0,X1,X2] :
( ~ sQ138_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| skaf52(X1) = X0
| ~ rearsegP(X0,skaf52(X1))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1920,f376]) ).
fof(f7959,definition,
! [X0] :
( sQ908_spl
<=> ( skaf52(X0) = nil
| ~ rearsegP(nil,skaf52(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ908_spl])],[split_symbol_definition]) ).
fof(f7960,plain,
! [X0] :
( ~ sQ908_spl
| skaf52(X0) = nil
| ~ rearsegP(nil,skaf52(X0)) ),
inference(component_clause,[status(thm)],[f7959]) ).
fof(f7963,plain,
( ~ sQ138_spl
| sQ908_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f7956,f581,f7959,f1892]) ).
fof(f7964,definition,
! [X0,X1,X2] :
( sQ909_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| skaf52(X1) = X0
| ~ rearsegP(X0,skaf52(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ909_spl])],[split_symbol_definition]) ).
fof(f7967,plain,
( ~ sQ138_spl
| ~ sQ14_spl
| sQ909_spl ),
inference(split_clause,[status(thm)],[f7957,f7964,f581,f1892]) ).
fof(f7971,plain,
! [X0,X1] :
( ~ sQ140_spl
| ~ ssList(nil)
| segmentP(app(skaf52(X1),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1922,f255]) ).
fof(f7973,definition,
! [X0,X1] :
( sQ910_spl
<=> ( segmentP(app(skaf52(X1),X0),nil)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ910_spl])],[split_symbol_definition]) ).
fof(f7977,plain,
( ~ sQ140_spl
| ~ sQ14_spl
| sQ910_spl ),
inference(split_clause,[status(thm)],[f7971,f7973,f581,f1900]) ).
fof(f8040,plain,
! [X0,X1] :
( ~ sQ143_spl
| app(skaf53(X1),nil) = X0
| ~ ssList(skaf53(X1))
| ~ segmentP(X0,app(skaf53(X1),nil))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f998,f1963]) ).
fof(f8041,definition,
! [X0,X1] :
( sQ916_spl
<=> ( app(skaf53(X1),nil) = X0
| ~ ssList(skaf53(X1))
| ~ segmentP(X0,app(skaf53(X1),nil))
| ~ ssList(X0)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ916_spl])],[split_symbol_definition]) ).
fof(f8044,plain,
( ~ sQ143_spl
| ~ sQ14_spl
| sQ916_spl ),
inference(split_clause,[status(thm)],[f8040,f8041,f581,f1933]) ).
fof(f8089,plain,
! [X0] :
( ~ ssList(X0)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(nil)
| ~ frontsegP(nil,X0) ),
inference(resolution,[status(thm)],[f341,f259]) ).
fof(f8091,definition,
! [X0] :
( sQ917_spl
<=> ( ~ ssList(X0)
| X0 = nil
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ917_spl])],[split_symbol_definition]) ).
fof(f8094,plain,
( ~ sQ14_spl
| sQ917_spl ),
inference(split_clause,[status(thm)],[f8089,f8091,f581]) ).
fof(f8140,plain,
! [X0,X1,X2] :
( ~ sQ144_spl
| segmentP(X1,X0)
| ~ ssList(X1)
| ~ ssList(skaf53(X2))
| ~ segmentP(X1,app(skaf53(X2),nil))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f998,f1965]) ).
fof(f8141,definition,
! [X0,X1,X2] :
( sQ918_spl
<=> ( segmentP(X1,X0)
| ~ ssList(X1)
| ~ ssList(skaf53(X2))
| ~ segmentP(X1,app(skaf53(X2),nil))
| ~ ssList(X0)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ918_spl])],[split_symbol_definition]) ).
fof(f8144,plain,
( ~ sQ144_spl
| ~ sQ14_spl
| sQ918_spl ),
inference(split_clause,[status(thm)],[f8140,f8141,f581,f1937]) ).
fof(f8148,plain,
! [X0] :
( ~ sQ145_spl
| ~ ssList(nil)
| skaf53(X0) = nil
| ~ rearsegP(nil,skaf53(X0))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f1969,f257]) ).
fof(f8149,plain,
! [X0,X1,X2] :
( ~ sQ145_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| skaf53(X1) = X0
| ~ rearsegP(X0,skaf53(X1))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1969,f376]) ).
fof(f8151,definition,
! [X0] :
( sQ919_spl
<=> ( skaf53(X0) = nil
| ~ rearsegP(nil,skaf53(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ919_spl])],[split_symbol_definition]) ).
fof(f8152,plain,
! [X0] :
( ~ sQ919_spl
| skaf53(X0) = nil
| ~ rearsegP(nil,skaf53(X0)) ),
inference(component_clause,[status(thm)],[f8151]) ).
fof(f8155,plain,
( ~ sQ145_spl
| sQ919_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8148,f581,f8151,f1941]) ).
fof(f8156,definition,
! [X0,X1,X2] :
( sQ920_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ rearsegP(nil,X2)
| skaf53(X1) = X0
| ~ rearsegP(X0,skaf53(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ920_spl])],[split_symbol_definition]) ).
fof(f8159,plain,
( ~ sQ145_spl
| ~ sQ14_spl
| sQ920_spl ),
inference(split_clause,[status(thm)],[f8149,f8156,f581,f1941]) ).
fof(f8276,plain,
! [X0] :
( ~ sQ838_spl
| app(skaf46(skaf82(X0),nil),nil) = skaf82(X0)
| ~ ssList(skaf82(X0))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f343,f6742]) ).
fof(f8277,plain,
! [X0] :
( ~ sQ825_spl
| app(skaf46(skaf81(X0),nil),nil) = skaf81(X0)
| ~ ssList(skaf81(X0))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f343,f6661]) ).
fof(f8278,plain,
! [X0] :
( ~ sQ812_spl
| app(skaf46(skaf80(X0),nil),nil) = skaf80(X0)
| ~ ssList(skaf80(X0))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f343,f6580]) ).
fof(f8279,plain,
! [X0] :
( ~ sQ799_spl
| app(skaf46(skaf77(X0),nil),nil) = skaf77(X0)
| ~ ssList(skaf77(X0))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f343,f6499]) ).
fof(f8280,plain,
! [X0] :
( ~ sQ778_spl
| app(skaf46(skaf76(X0),nil),nil) = skaf76(X0)
| ~ ssList(skaf76(X0))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f343,f6303]) ).
fof(f8281,plain,
! [X0] :
( ~ sQ765_spl
| app(skaf46(skaf75(X0),nil),nil) = skaf75(X0)
| ~ ssList(skaf75(X0))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f343,f6222]) ).
fof(f8282,plain,
! [X0] :
( ~ sQ752_spl
| app(skaf46(skaf73(X0),nil),nil) = skaf73(X0)
| ~ ssList(skaf73(X0))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f343,f6141]) ).
fof(f8283,plain,
! [X0] :
( ~ sQ719_spl
| app(skaf46(skaf72(X0),nil),nil) = skaf72(X0)
| ~ ssList(skaf72(X0))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f343,f5860]) ).
fof(f8284,plain,
! [X0] :
( ~ sQ706_spl
| app(skaf46(skaf71(X0),nil),nil) = skaf71(X0)
| ~ ssList(skaf71(X0))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f343,f5779]) ).
fof(f8285,plain,
! [X0] :
( ~ sQ693_spl
| app(skaf46(skaf68(X0),nil),nil) = skaf68(X0)
| ~ ssList(skaf68(X0))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f343,f5698]) ).
fof(f8286,plain,
! [X0] :
( ~ sQ680_spl
| app(skaf46(skaf67(X0),nil),nil) = skaf67(X0)
| ~ ssList(skaf67(X0))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f343,f5617]) ).
fof(f8287,plain,
! [X0] :
( ~ sQ545_spl
| app(skaf46(skaf66(X0),nil),nil) = skaf66(X0)
| ~ ssList(skaf66(X0))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f343,f4709]) ).
fof(f8288,plain,
! [X0] :
( ~ sQ535_spl
| app(skaf46(skaf63(X0),nil),nil) = skaf63(X0)
| ~ ssList(skaf63(X0))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f343,f4648]) ).
fof(f8289,plain,
! [X0] :
( ~ sQ525_spl
| app(skaf46(skaf62(X0),nil),nil) = skaf62(X0)
| ~ ssList(skaf62(X0))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f343,f4587]) ).
fof(f8290,plain,
! [X0] :
( ~ sQ515_spl
| app(skaf46(skaf61(X0),nil),nil) = skaf61(X0)
| ~ ssList(skaf61(X0))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f343,f4526]) ).
fof(f8291,plain,
! [X0] :
( ~ sQ375_spl
| app(skaf46(skaf58(X0),nil),nil) = skaf58(X0)
| ~ ssList(skaf58(X0))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f343,f3650]) ).
fof(f8292,plain,
! [X0] :
( ~ sQ366_spl
| app(skaf46(skaf57(X0),nil),nil) = skaf57(X0)
| ~ ssList(skaf57(X0))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f343,f3595]) ).
fof(f8293,plain,
! [X0] :
( ~ sQ357_spl
| app(skaf46(skaf56(X0),nil),nil) = skaf56(X0)
| ~ ssList(skaf56(X0))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f343,f3540]) ).
fof(f8294,plain,
! [X0] :
( ~ sQ203_spl
| app(skaf46(skaf53(X0),nil),nil) = skaf53(X0)
| ~ ssList(skaf53(X0))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f343,f2362]) ).
fof(f8295,plain,
! [X0] :
( ~ sQ194_spl
| app(skaf46(skaf52(X0),nil),nil) = skaf52(X0)
| ~ ssList(skaf52(X0))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f343,f2307]) ).
fof(f8296,plain,
! [X0] :
( ~ sQ185_spl
| app(skaf46(skaf51(X0),nil),nil) = skaf51(X0)
| ~ ssList(skaf51(X0))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f343,f2252]) ).
fof(f8297,plain,
( ~ sQ15_spl
| app(skaf46(nil,nil),nil) = nil
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f343,f585]) ).
fof(f8298,plain,
( ~ sQ65_spl
| app(skaf46(sk3,nil),nil) = sk3
| ~ ssList(sk3)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f343,f1058]) ).
fof(f8299,plain,
( ~ sQ95_spl
| app(skaf46(sk3,sk3),sk3) = sk3
| ~ ssList(sk3)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f343,f1275]) ).
fof(f8300,plain,
( ~ sQ85_spl
| app(skaf46(sk4,nil),nil) = sk4
| ~ ssList(sk4)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f343,f1180]) ).
fof(f8301,plain,
( ~ sQ110_spl
| app(skaf46(sk4,sk4),sk4) = sk4
| ~ ssList(sk4)
| ~ ssList(sk4) ),
inference(resolution,[status(thm)],[f343,f1367]) ).
fof(f8302,plain,
( ~ sQ8_spl
| app(skaf46(sk4,sk3),sk3) = sk4
| ~ ssList(sk4)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f343,f475]) ).
fof(f8304,plain,
! [X0,X1,X2] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X2,X0)
| app(skaf46(app(X1,X2),X0),X0) = app(X1,X2)
| ~ ssList(app(X1,X2))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f343,f350]) ).
fof(f8305,plain,
! [X0] :
( ~ ssList(X0)
| app(skaf46(X0,nil),nil) = X0
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f343,f257]) ).
fof(f8308,definition,
! [X0] :
( sQ921_spl
<=> ( app(skaf46(skaf82(X0),nil),nil) = skaf82(X0)
| ~ ssList(skaf82(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ921_spl])],[split_symbol_definition]) ).
fof(f8311,plain,
( ~ sQ838_spl
| sQ921_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8276,f581,f8308,f6741]) ).
fof(f8312,definition,
! [X0] :
( sQ922_spl
<=> ( app(skaf46(skaf81(X0),nil),nil) = skaf81(X0)
| ~ ssList(skaf81(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ922_spl])],[split_symbol_definition]) ).
fof(f8315,plain,
( ~ sQ825_spl
| sQ922_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8277,f581,f8312,f6660]) ).
fof(f8316,definition,
! [X0] :
( sQ923_spl
<=> ( app(skaf46(skaf80(X0),nil),nil) = skaf80(X0)
| ~ ssList(skaf80(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ923_spl])],[split_symbol_definition]) ).
fof(f8319,plain,
( ~ sQ812_spl
| sQ923_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8278,f581,f8316,f6579]) ).
fof(f8320,definition,
! [X0] :
( sQ924_spl
<=> ( app(skaf46(skaf77(X0),nil),nil) = skaf77(X0)
| ~ ssList(skaf77(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ924_spl])],[split_symbol_definition]) ).
fof(f8323,plain,
( ~ sQ799_spl
| sQ924_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8279,f581,f8320,f6498]) ).
fof(f8324,definition,
! [X0] :
( sQ925_spl
<=> ( app(skaf46(skaf76(X0),nil),nil) = skaf76(X0)
| ~ ssList(skaf76(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ925_spl])],[split_symbol_definition]) ).
fof(f8327,plain,
( ~ sQ778_spl
| sQ925_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8280,f581,f8324,f6302]) ).
fof(f8328,definition,
! [X0] :
( sQ926_spl
<=> ( app(skaf46(skaf75(X0),nil),nil) = skaf75(X0)
| ~ ssList(skaf75(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ926_spl])],[split_symbol_definition]) ).
fof(f8331,plain,
( ~ sQ765_spl
| sQ926_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8281,f581,f8328,f6221]) ).
fof(f8332,definition,
! [X0] :
( sQ927_spl
<=> ( app(skaf46(skaf73(X0),nil),nil) = skaf73(X0)
| ~ ssList(skaf73(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ927_spl])],[split_symbol_definition]) ).
fof(f8335,plain,
( ~ sQ752_spl
| sQ927_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8282,f581,f8332,f6140]) ).
fof(f8336,definition,
! [X0] :
( sQ928_spl
<=> ( app(skaf46(skaf72(X0),nil),nil) = skaf72(X0)
| ~ ssList(skaf72(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ928_spl])],[split_symbol_definition]) ).
fof(f8339,plain,
( ~ sQ719_spl
| sQ928_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8283,f581,f8336,f5859]) ).
fof(f8340,definition,
! [X0] :
( sQ929_spl
<=> ( app(skaf46(skaf71(X0),nil),nil) = skaf71(X0)
| ~ ssList(skaf71(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ929_spl])],[split_symbol_definition]) ).
fof(f8343,plain,
( ~ sQ706_spl
| sQ929_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8284,f581,f8340,f5778]) ).
fof(f8344,definition,
! [X0] :
( sQ930_spl
<=> ( app(skaf46(skaf68(X0),nil),nil) = skaf68(X0)
| ~ ssList(skaf68(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ930_spl])],[split_symbol_definition]) ).
fof(f8347,plain,
( ~ sQ693_spl
| sQ930_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8285,f581,f8344,f5697]) ).
fof(f8348,definition,
! [X0] :
( sQ931_spl
<=> ( app(skaf46(skaf67(X0),nil),nil) = skaf67(X0)
| ~ ssList(skaf67(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ931_spl])],[split_symbol_definition]) ).
fof(f8351,plain,
( ~ sQ680_spl
| sQ931_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8286,f581,f8348,f5616]) ).
fof(f8352,definition,
! [X0] :
( sQ932_spl
<=> ( app(skaf46(skaf66(X0),nil),nil) = skaf66(X0)
| ~ ssList(skaf66(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ932_spl])],[split_symbol_definition]) ).
fof(f8355,plain,
( ~ sQ545_spl
| sQ932_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8287,f581,f8352,f4708]) ).
fof(f8356,definition,
! [X0] :
( sQ933_spl
<=> ( app(skaf46(skaf63(X0),nil),nil) = skaf63(X0)
| ~ ssList(skaf63(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ933_spl])],[split_symbol_definition]) ).
fof(f8359,plain,
( ~ sQ535_spl
| sQ933_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8288,f581,f8356,f4647]) ).
fof(f8360,definition,
! [X0] :
( sQ934_spl
<=> ( app(skaf46(skaf62(X0),nil),nil) = skaf62(X0)
| ~ ssList(skaf62(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ934_spl])],[split_symbol_definition]) ).
fof(f8363,plain,
( ~ sQ525_spl
| sQ934_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8289,f581,f8360,f4586]) ).
fof(f8364,definition,
! [X0] :
( sQ935_spl
<=> ( app(skaf46(skaf61(X0),nil),nil) = skaf61(X0)
| ~ ssList(skaf61(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ935_spl])],[split_symbol_definition]) ).
fof(f8367,plain,
( ~ sQ515_spl
| sQ935_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8290,f581,f8364,f4525]) ).
fof(f8368,definition,
! [X0] :
( sQ936_spl
<=> ( app(skaf46(skaf58(X0),nil),nil) = skaf58(X0)
| ~ ssList(skaf58(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ936_spl])],[split_symbol_definition]) ).
fof(f8371,plain,
( ~ sQ375_spl
| sQ936_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8291,f581,f8368,f3649]) ).
fof(f8372,definition,
! [X0] :
( sQ937_spl
<=> ( app(skaf46(skaf57(X0),nil),nil) = skaf57(X0)
| ~ ssList(skaf57(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ937_spl])],[split_symbol_definition]) ).
fof(f8375,plain,
( ~ sQ366_spl
| sQ937_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8292,f581,f8372,f3594]) ).
fof(f8376,definition,
! [X0] :
( sQ938_spl
<=> ( app(skaf46(skaf56(X0),nil),nil) = skaf56(X0)
| ~ ssList(skaf56(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ938_spl])],[split_symbol_definition]) ).
fof(f8379,plain,
( ~ sQ357_spl
| sQ938_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8293,f581,f8376,f3539]) ).
fof(f8380,definition,
! [X0] :
( sQ939_spl
<=> ( app(skaf46(skaf53(X0),nil),nil) = skaf53(X0)
| ~ ssList(skaf53(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ939_spl])],[split_symbol_definition]) ).
fof(f8383,plain,
( ~ sQ203_spl
| sQ939_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8294,f581,f8380,f2361]) ).
fof(f8384,definition,
! [X0] :
( sQ940_spl
<=> ( app(skaf46(skaf52(X0),nil),nil) = skaf52(X0)
| ~ ssList(skaf52(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ940_spl])],[split_symbol_definition]) ).
fof(f8387,plain,
( ~ sQ194_spl
| sQ940_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8295,f581,f8384,f2306]) ).
fof(f8388,definition,
! [X0] :
( sQ941_spl
<=> ( app(skaf46(skaf51(X0),nil),nil) = skaf51(X0)
| ~ ssList(skaf51(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ941_spl])],[split_symbol_definition]) ).
fof(f8391,plain,
( ~ sQ185_spl
| sQ941_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8296,f581,f8388,f2251]) ).
fof(f8392,definition,
( sQ942_spl
<=> app(skaf46(nil,nil),nil) = nil ),
introduced(definition,[new_symbols(definition,[sQ942_spl])],[split_symbol_definition]) ).
fof(f8393,plain,
( ~ sQ942_spl
| app(skaf46(nil,nil),nil) = nil ),
inference(component_clause,[status(thm)],[f8392]) ).
fof(f8395,plain,
( ~ sQ15_spl
| sQ942_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8297,f581,f8392,f584]) ).
fof(f8396,definition,
( sQ943_spl
<=> app(skaf46(sk3,nil),nil) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ943_spl])],[split_symbol_definition]) ).
fof(f8397,plain,
( ~ sQ943_spl
| app(skaf46(sk3,nil),nil) = sk3 ),
inference(component_clause,[status(thm)],[f8396]) ).
fof(f8399,plain,
( ~ sQ65_spl
| sQ943_spl
| ~ sQ12_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8298,f581,f572,f8396,f1046]) ).
fof(f8400,definition,
( sQ944_spl
<=> app(skaf46(sk3,sk3),sk3) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ944_spl])],[split_symbol_definition]) ).
fof(f8401,plain,
( ~ sQ944_spl
| app(skaf46(sk3,sk3),sk3) = sk3 ),
inference(component_clause,[status(thm)],[f8400]) ).
fof(f8403,plain,
( ~ sQ95_spl
| sQ944_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f8299,f572,f8400,f1263]) ).
fof(f8404,definition,
( sQ945_spl
<=> app(skaf46(sk4,nil),nil) = sk4 ),
introduced(definition,[new_symbols(definition,[sQ945_spl])],[split_symbol_definition]) ).
fof(f8405,plain,
( ~ sQ945_spl
| app(skaf46(sk4,nil),nil) = sk4 ),
inference(component_clause,[status(thm)],[f8404]) ).
fof(f8407,plain,
( ~ sQ85_spl
| sQ945_spl
| ~ sQ10_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8300,f581,f554,f8404,f1168]) ).
fof(f8408,definition,
( sQ946_spl
<=> app(skaf46(sk4,sk4),sk4) = sk4 ),
introduced(definition,[new_symbols(definition,[sQ946_spl])],[split_symbol_definition]) ).
fof(f8409,plain,
( ~ sQ946_spl
| app(skaf46(sk4,sk4),sk4) = sk4 ),
inference(component_clause,[status(thm)],[f8408]) ).
fof(f8411,plain,
( ~ sQ110_spl
| sQ946_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f8301,f554,f8408,f1355]) ).
fof(f8412,definition,
( sQ947_spl
<=> app(skaf46(sk4,sk3),sk3) = sk4 ),
introduced(definition,[new_symbols(definition,[sQ947_spl])],[split_symbol_definition]) ).
fof(f8413,plain,
( ~ sQ947_spl
| app(skaf46(sk4,sk3),sk3) = sk4 ),
inference(component_clause,[status(thm)],[f8412]) ).
fof(f8415,plain,
( ~ sQ8_spl
| sQ947_spl
| ~ sQ10_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f8302,f572,f554,f8412,f474]) ).
fof(f8418,plain,
! [X0,X1,X2] :
( ~ ssList(X2)
| ~ ssList(X1)
| ~ rearsegP(X2,X0)
| app(skaf46(app(X1,X2),X0),X0) = app(X1,X2)
| ~ ssList(app(X1,X2))
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f8304]) ).
fof(f8419,plain,
! [X0,X1,X2] :
( ~ ssList(X2)
| ~ ssList(X1)
| ~ rearsegP(X2,X0)
| app(skaf46(app(X1,X2),X0),X0) = app(X1,X2)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f8418,f285]) ).
fof(f8420,definition,
! [X0] :
( sQ948_spl
<=> ( ~ ssList(X0)
| app(skaf46(X0,nil),nil) = X0
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ948_spl])],[split_symbol_definition]) ).
fof(f8423,plain,
( sQ948_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8305,f581,f8420]) ).
fof(f8448,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,skaf45(X0,nil)) = X0
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f344,f259]) ).
fof(f8450,definition,
! [X0] :
( sQ949_spl
<=> ( ~ ssList(X0)
| app(nil,skaf45(X0,nil)) = X0
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ949_spl])],[split_symbol_definition]) ).
fof(f8453,plain,
( sQ949_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8448,f581,f8450]) ).
fof(f8528,plain,
! [X0] :
( ~ sQ947_spl
| segmentP(app(app(skaf46(sk4,sk3),sk3),X0),sk3)
| ~ ssList(app(sk4,X0))
| ~ ssList(sk3)
| ~ ssList(skaf46(sk4,sk3))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f8413,f501]) ).
fof(f8531,definition,
( sQ955_spl
<=> ssList(skaf46(sk4,sk3)) ),
introduced(definition,[new_symbols(definition,[sQ955_spl])],[split_symbol_definition]) ).
fof(f8533,plain,
( sQ955_spl
| ~ ssList(skaf46(sk4,sk3)) ),
inference(component_clause,[status(thm)],[f8531]) ).
fof(f8549,definition,
! [X0] :
( sQ959_spl
<=> ( segmentP(app(app(skaf46(sk4,sk3),sk3),X0),sk3)
| ~ ssList(app(sk4,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ959_spl])],[split_symbol_definition]) ).
fof(f8550,plain,
! [X0] :
( ~ sQ959_spl
| segmentP(app(app(skaf46(sk4,sk3),sk3),X0),sk3)
| ~ ssList(app(sk4,X0))
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f8549]) ).
fof(f8552,plain,
( ~ sQ947_spl
| ~ sQ12_spl
| ~ sQ955_spl
| sQ959_spl ),
inference(split_clause,[status(thm)],[f8528,f8549,f8531,f572,f8412]) ).
fof(f8561,plain,
( sQ955_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8533,f249]) ).
fof(f8562,plain,
sQ955_spl,
inference(contradiction_clause,[status(thm)],[f8561]) ).
fof(f8568,plain,
! [X0] :
( ~ sQ959_spl
| ~ sQ947_spl
| segmentP(app(sk4,X0),sk3)
| ~ ssList(app(sk4,X0))
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f8413,f8550]) ).
fof(f8569,plain,
! [X0] :
( ~ sQ959_spl
| ~ sQ947_spl
| segmentP(app(sk4,X0),sk3)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f8568,f3357]) ).
fof(f8608,plain,
! [X0,X1] :
( ~ sQ908_spl
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf52(X0))
| ~ rearsegP(X1,skaf52(X0))
| ~ rearsegP(nil,X1)
| skaf52(X0) = nil ),
inference(resolution,[status(thm)],[f7960,f376]) ).
fof(f8609,plain,
( ~ sQ908_spl
| ~ sQ14_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f8608,f2342,f581,f7959]) ).
fof(f8610,plain,
! [X0,X1] :
( ~ sQ919_spl
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf53(X0))
| ~ rearsegP(X1,skaf53(X0))
| ~ rearsegP(nil,X1)
| skaf53(X0) = nil ),
inference(resolution,[status(thm)],[f8152,f376]) ).
fof(f8611,plain,
( ~ sQ919_spl
| ~ sQ14_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f8610,f2582,f581,f8151]) ).
fof(f8613,plain,
( ~ sQ945_spl
| rearsegP(sk4,nil)
| ~ ssList(nil)
| ~ ssList(skaf46(sk4,nil)) ),
inference(paramodulation,[status(thm)],[f8405,f3326]) ).
fof(f8614,plain,
! [X0,X1] :
( ~ sQ945_spl
| app(app(skaf46(sk4,nil),nil),X1) = X0
| ~ ssList(app(sk4,X1))
| ~ segmentP(X0,app(app(skaf46(sk4,nil),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf46(sk4,nil))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f8405,f742]) ).
fof(f8615,plain,
! [X0,X1,X2] :
( ~ sQ945_spl
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(sk4,X1))
| ~ segmentP(X2,app(app(skaf46(sk4,nil),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf46(sk4,nil))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f8405,f741]) ).
fof(f8616,plain,
! [X0] :
( ~ sQ945_spl
| segmentP(app(app(skaf46(sk4,nil),nil),X0),nil)
| ~ ssList(app(sk4,X0))
| ~ ssList(nil)
| ~ ssList(skaf46(sk4,nil))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f8405,f501]) ).
fof(f8618,plain,
! [X0] :
( ~ sQ945_spl
| rearsegP(sk4,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf46(sk4,nil))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f8405,f350]) ).
fof(f8619,definition,
( sQ962_spl
<=> ssList(skaf46(sk4,nil)) ),
introduced(definition,[new_symbols(definition,[sQ962_spl])],[split_symbol_definition]) ).
fof(f8621,plain,
( sQ962_spl
| ~ ssList(skaf46(sk4,nil)) ),
inference(component_clause,[status(thm)],[f8619]) ).
fof(f8626,plain,
( ~ sQ945_spl
| sQ120_spl
| ~ sQ14_spl
| ~ sQ962_spl ),
inference(split_clause,[status(thm)],[f8613,f8619,f581,f1445,f8404]) ).
fof(f8627,definition,
! [X0,X1] :
( sQ964_spl
<=> ( app(app(skaf46(sk4,nil),nil),X1) = X0
| ~ ssList(app(sk4,X1))
| ~ segmentP(X0,app(app(skaf46(sk4,nil),nil),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ964_spl])],[split_symbol_definition]) ).
fof(f8630,plain,
( ~ sQ945_spl
| ~ sQ14_spl
| ~ sQ962_spl
| sQ964_spl ),
inference(split_clause,[status(thm)],[f8614,f8627,f8619,f581,f8404]) ).
fof(f8631,definition,
! [X0,X1,X2] :
( sQ965_spl
<=> ( segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(sk4,X1))
| ~ segmentP(X2,app(app(skaf46(sk4,nil),nil),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ965_spl])],[split_symbol_definition]) ).
fof(f8634,plain,
( ~ sQ945_spl
| ~ sQ14_spl
| ~ sQ962_spl
| sQ965_spl ),
inference(split_clause,[status(thm)],[f8615,f8631,f8619,f581,f8404]) ).
fof(f8635,definition,
! [X0] :
( sQ966_spl
<=> ( segmentP(app(app(skaf46(sk4,nil),nil),X0),nil)
| ~ ssList(app(sk4,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ966_spl])],[split_symbol_definition]) ).
fof(f8638,plain,
( ~ sQ945_spl
| ~ sQ14_spl
| ~ sQ962_spl
| sQ966_spl ),
inference(split_clause,[status(thm)],[f8616,f8635,f8619,f581,f8404]) ).
fof(f8640,plain,
( ~ sQ945_spl
| ~ sQ14_spl
| ~ sQ962_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f8618,f1172,f8619,f581,f8404]) ).
fof(f8641,plain,
( sQ962_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8621,f249]) ).
fof(f8642,plain,
sQ962_spl,
inference(contradiction_clause,[status(thm)],[f8641]) ).
fof(f8653,plain,
! [X0,X1] :
( ~ sQ946_spl
| app(app(skaf46(sk4,sk4),sk4),X1) = X0
| ~ ssList(app(sk4,X1))
| ~ segmentP(X0,app(app(skaf46(sk4,sk4),sk4),X1))
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(sk4,sk4))
| ~ ssList(X1)
| ~ segmentP(sk4,X0) ),
inference(paramodulation,[status(thm)],[f8409,f742]) ).
fof(f8654,plain,
! [X0,X1,X2] :
( ~ sQ946_spl
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(sk4,X1))
| ~ segmentP(X2,app(app(skaf46(sk4,sk4),sk4),X1))
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(sk4,sk4))
| ~ ssList(X1)
| ~ segmentP(sk4,X0) ),
inference(paramodulation,[status(thm)],[f8409,f741]) ).
fof(f8655,plain,
! [X0] :
( ~ sQ946_spl
| segmentP(app(app(skaf46(sk4,sk4),sk4),X0),sk4)
| ~ ssList(app(sk4,X0))
| ~ ssList(sk4)
| ~ ssList(skaf46(sk4,sk4))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f8409,f501]) ).
fof(f8657,plain,
! [X0] :
( ~ sQ946_spl
| rearsegP(sk4,X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(sk4,sk4))
| ~ rearsegP(sk4,X0) ),
inference(paramodulation,[status(thm)],[f8409,f350]) ).
fof(f8658,definition,
( sQ967_spl
<=> ssList(skaf46(sk4,sk4)) ),
introduced(definition,[new_symbols(definition,[sQ967_spl])],[split_symbol_definition]) ).
fof(f8660,plain,
( sQ967_spl
| ~ ssList(skaf46(sk4,sk4)) ),
inference(component_clause,[status(thm)],[f8658]) ).
fof(f8669,definition,
! [X0,X1] :
( sQ969_spl
<=> ( app(app(skaf46(sk4,sk4),sk4),X1) = X0
| ~ ssList(app(sk4,X1))
| ~ segmentP(X0,app(app(skaf46(sk4,sk4),sk4),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ969_spl])],[split_symbol_definition]) ).
fof(f8672,plain,
( ~ sQ946_spl
| ~ sQ10_spl
| ~ sQ967_spl
| sQ969_spl ),
inference(split_clause,[status(thm)],[f8653,f8669,f8658,f554,f8408]) ).
fof(f8673,definition,
! [X0,X1,X2] :
( sQ970_spl
<=> ( segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(sk4,X1))
| ~ segmentP(X2,app(app(skaf46(sk4,sk4),sk4),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ970_spl])],[split_symbol_definition]) ).
fof(f8676,plain,
( ~ sQ946_spl
| ~ sQ10_spl
| ~ sQ967_spl
| sQ970_spl ),
inference(split_clause,[status(thm)],[f8654,f8673,f8658,f554,f8408]) ).
fof(f8677,definition,
! [X0] :
( sQ971_spl
<=> ( segmentP(app(app(skaf46(sk4,sk4),sk4),X0),sk4)
| ~ ssList(app(sk4,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ971_spl])],[split_symbol_definition]) ).
fof(f8680,plain,
( ~ sQ946_spl
| ~ sQ10_spl
| ~ sQ967_spl
| sQ971_spl ),
inference(split_clause,[status(thm)],[f8655,f8677,f8658,f554,f8408]) ).
fof(f8682,plain,
( ~ sQ946_spl
| ~ sQ10_spl
| ~ sQ967_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f8657,f1359,f8658,f554,f8408]) ).
fof(f8683,plain,
( sQ967_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8660,f249]) ).
fof(f8684,plain,
sQ967_spl,
inference(contradiction_clause,[status(thm)],[f8683]) ).
fof(f8690,plain,
( ~ sQ943_spl
| rearsegP(sk3,nil)
| ~ ssList(nil)
| ~ ssList(skaf46(sk3,nil)) ),
inference(paramodulation,[status(thm)],[f8397,f3326]) ).
fof(f8691,plain,
! [X0,X1] :
( ~ sQ943_spl
| app(app(skaf46(sk3,nil),nil),X1) = X0
| ~ ssList(app(sk3,X1))
| ~ segmentP(X0,app(app(skaf46(sk3,nil),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf46(sk3,nil))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f8397,f742]) ).
fof(f8692,plain,
! [X0,X1,X2] :
( ~ sQ943_spl
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(sk3,X1))
| ~ segmentP(X2,app(app(skaf46(sk3,nil),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf46(sk3,nil))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f8397,f741]) ).
fof(f8693,plain,
! [X0] :
( ~ sQ943_spl
| segmentP(app(app(skaf46(sk3,nil),nil),X0),nil)
| ~ ssList(app(sk3,X0))
| ~ ssList(nil)
| ~ ssList(skaf46(sk3,nil))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f8397,f501]) ).
fof(f8695,plain,
! [X0] :
( ~ sQ943_spl
| rearsegP(sk3,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf46(sk3,nil))
| ~ rearsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f8397,f350]) ).
fof(f8696,definition,
( sQ972_spl
<=> ssList(skaf46(sk3,nil)) ),
introduced(definition,[new_symbols(definition,[sQ972_spl])],[split_symbol_definition]) ).
fof(f8698,plain,
( sQ972_spl
| ~ ssList(skaf46(sk3,nil)) ),
inference(component_clause,[status(thm)],[f8696]) ).
fof(f8703,plain,
( ~ sQ943_spl
| sQ117_spl
| ~ sQ14_spl
| ~ sQ972_spl ),
inference(split_clause,[status(thm)],[f8690,f8696,f581,f1418,f8396]) ).
fof(f8704,definition,
! [X0,X1] :
( sQ974_spl
<=> ( app(app(skaf46(sk3,nil),nil),X1) = X0
| ~ ssList(app(sk3,X1))
| ~ segmentP(X0,app(app(skaf46(sk3,nil),nil),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ974_spl])],[split_symbol_definition]) ).
fof(f8707,plain,
( ~ sQ943_spl
| ~ sQ14_spl
| ~ sQ972_spl
| sQ974_spl ),
inference(split_clause,[status(thm)],[f8691,f8704,f8696,f581,f8396]) ).
fof(f8708,definition,
! [X0,X1,X2] :
( sQ975_spl
<=> ( segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(sk3,X1))
| ~ segmentP(X2,app(app(skaf46(sk3,nil),nil),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ975_spl])],[split_symbol_definition]) ).
fof(f8711,plain,
( ~ sQ943_spl
| ~ sQ14_spl
| ~ sQ972_spl
| sQ975_spl ),
inference(split_clause,[status(thm)],[f8692,f8708,f8696,f581,f8396]) ).
fof(f8712,definition,
! [X0] :
( sQ976_spl
<=> ( segmentP(app(app(skaf46(sk3,nil),nil),X0),nil)
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ976_spl])],[split_symbol_definition]) ).
fof(f8715,plain,
( ~ sQ943_spl
| ~ sQ14_spl
| ~ sQ972_spl
| sQ976_spl ),
inference(split_clause,[status(thm)],[f8693,f8712,f8696,f581,f8396]) ).
fof(f8717,plain,
( ~ sQ943_spl
| ~ sQ14_spl
| ~ sQ972_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f8695,f1050,f8696,f581,f8396]) ).
fof(f8718,plain,
( sQ972_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8698,f249]) ).
fof(f8719,plain,
sQ972_spl,
inference(contradiction_clause,[status(thm)],[f8718]) ).
fof(f8728,plain,
( ~ sQ944_spl
| rearsegP(sk3,sk3)
| ~ ssList(sk3)
| ~ ssList(skaf46(sk3,sk3)) ),
inference(paramodulation,[status(thm)],[f8401,f3326]) ).
fof(f8729,plain,
! [X0,X1] :
( ~ sQ944_spl
| app(app(skaf46(sk3,sk3),sk3),X1) = X0
| ~ ssList(app(sk3,X1))
| ~ segmentP(X0,app(app(skaf46(sk3,sk3),sk3),X1))
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(skaf46(sk3,sk3))
| ~ ssList(X1)
| ~ segmentP(sk3,X0) ),
inference(paramodulation,[status(thm)],[f8401,f742]) ).
fof(f8730,plain,
! [X0,X1,X2] :
( ~ sQ944_spl
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(sk3,X1))
| ~ segmentP(X2,app(app(skaf46(sk3,sk3),sk3),X1))
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(skaf46(sk3,sk3))
| ~ ssList(X1)
| ~ segmentP(sk3,X0) ),
inference(paramodulation,[status(thm)],[f8401,f741]) ).
fof(f8731,plain,
! [X0] :
( ~ sQ944_spl
| segmentP(app(app(skaf46(sk3,sk3),sk3),X0),sk3)
| ~ ssList(app(sk3,X0))
| ~ ssList(sk3)
| ~ ssList(skaf46(sk3,sk3))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f8401,f501]) ).
fof(f8733,plain,
! [X0] :
( ~ sQ944_spl
| rearsegP(sk3,X0)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(skaf46(sk3,sk3))
| ~ rearsegP(sk3,X0) ),
inference(paramodulation,[status(thm)],[f8401,f350]) ).
fof(f8734,definition,
( sQ977_spl
<=> ssList(skaf46(sk3,sk3)) ),
introduced(definition,[new_symbols(definition,[sQ977_spl])],[split_symbol_definition]) ).
fof(f8736,plain,
( sQ977_spl
| ~ ssList(skaf46(sk3,sk3)) ),
inference(component_clause,[status(thm)],[f8734]) ).
fof(f8740,plain,
( ~ sQ944_spl
| sQ97_spl
| ~ sQ12_spl
| ~ sQ977_spl ),
inference(split_clause,[status(thm)],[f8728,f8734,f572,f1293,f8400]) ).
fof(f8741,definition,
! [X0,X1] :
( sQ978_spl
<=> ( app(app(skaf46(sk3,sk3),sk3),X1) = X0
| ~ ssList(app(sk3,X1))
| ~ segmentP(X0,app(app(skaf46(sk3,sk3),sk3),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ978_spl])],[split_symbol_definition]) ).
fof(f8744,plain,
( ~ sQ944_spl
| ~ sQ12_spl
| ~ sQ977_spl
| sQ978_spl ),
inference(split_clause,[status(thm)],[f8729,f8741,f8734,f572,f8400]) ).
fof(f8745,definition,
! [X0,X1,X2] :
( sQ979_spl
<=> ( segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(sk3,X1))
| ~ segmentP(X2,app(app(skaf46(sk3,sk3),sk3),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ979_spl])],[split_symbol_definition]) ).
fof(f8748,plain,
( ~ sQ944_spl
| ~ sQ12_spl
| ~ sQ977_spl
| sQ979_spl ),
inference(split_clause,[status(thm)],[f8730,f8745,f8734,f572,f8400]) ).
fof(f8749,definition,
! [X0] :
( sQ980_spl
<=> ( segmentP(app(app(skaf46(sk3,sk3),sk3),X0),sk3)
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ980_spl])],[split_symbol_definition]) ).
fof(f8752,plain,
( ~ sQ944_spl
| ~ sQ12_spl
| ~ sQ977_spl
| sQ980_spl ),
inference(split_clause,[status(thm)],[f8731,f8749,f8734,f572,f8400]) ).
fof(f8754,plain,
( ~ sQ944_spl
| ~ sQ12_spl
| ~ sQ977_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f8733,f1267,f8734,f572,f8400]) ).
fof(f8755,plain,
( sQ977_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8736,f249]) ).
fof(f8756,plain,
sQ977_spl,
inference(contradiction_clause,[status(thm)],[f8755]) ).
fof(f8763,plain,
! [X0,X1] :
( ~ sQ942_spl
| app(app(skaf46(nil,nil),nil),X1) = X0
| ~ ssList(app(nil,X1))
| ~ segmentP(X0,app(app(skaf46(nil,nil),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf46(nil,nil))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f8393,f742]) ).
fof(f8764,plain,
! [X0,X1,X2] :
( ~ sQ942_spl
| segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(nil,X1))
| ~ segmentP(X2,app(app(skaf46(nil,nil),nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf46(nil,nil))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f8393,f741]) ).
fof(f8765,plain,
! [X0] :
( ~ sQ942_spl
| segmentP(app(app(skaf46(nil,nil),nil),X0),nil)
| ~ ssList(app(nil,X0))
| ~ ssList(nil)
| ~ ssList(skaf46(nil,nil))
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f8393,f501]) ).
fof(f8768,definition,
( sQ981_spl
<=> ssList(skaf46(nil,nil)) ),
introduced(definition,[new_symbols(definition,[sQ981_spl])],[split_symbol_definition]) ).
fof(f8770,plain,
( sQ981_spl
| ~ ssList(skaf46(nil,nil)) ),
inference(component_clause,[status(thm)],[f8768]) ).
fof(f8773,definition,
! [X0,X1] :
( sQ982_spl
<=> ( app(app(skaf46(nil,nil),nil),X1) = X0
| ~ ssList(app(nil,X1))
| ~ segmentP(X0,app(app(skaf46(nil,nil),nil),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ982_spl])],[split_symbol_definition]) ).
fof(f8776,plain,
( ~ sQ942_spl
| ~ sQ14_spl
| ~ sQ981_spl
| sQ982_spl ),
inference(split_clause,[status(thm)],[f8763,f8773,f8768,f581,f8392]) ).
fof(f8777,definition,
! [X0,X1,X2] :
( sQ983_spl
<=> ( segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(nil,X1))
| ~ segmentP(X2,app(app(skaf46(nil,nil),nil),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ983_spl])],[split_symbol_definition]) ).
fof(f8780,plain,
( ~ sQ942_spl
| ~ sQ14_spl
| ~ sQ981_spl
| sQ983_spl ),
inference(split_clause,[status(thm)],[f8764,f8777,f8768,f581,f8392]) ).
fof(f8781,definition,
! [X0] :
( sQ984_spl
<=> ( segmentP(app(app(skaf46(nil,nil),nil),X0),nil)
| ~ ssList(app(nil,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ984_spl])],[split_symbol_definition]) ).
fof(f8784,plain,
( ~ sQ942_spl
| ~ sQ14_spl
| ~ sQ981_spl
| sQ984_spl ),
inference(split_clause,[status(thm)],[f8765,f8781,f8768,f581,f8392]) ).
fof(f8787,plain,
( sQ981_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8770,f249]) ).
fof(f8788,plain,
sQ981_spl,
inference(contradiction_clause,[status(thm)],[f8787]) ).
fof(f8831,plain,
! [X0,X1] :
( ~ sQ838_spl
| ~ ssList(skaf82(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf82(X1)),nil),nil) = app(X0,skaf82(X1))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f8419,f6742]) ).
fof(f8832,plain,
! [X0,X1] :
( ~ sQ825_spl
| ~ ssList(skaf81(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf81(X1)),nil),nil) = app(X0,skaf81(X1))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f8419,f6661]) ).
fof(f8833,plain,
! [X0,X1] :
( ~ sQ812_spl
| ~ ssList(skaf80(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf80(X1)),nil),nil) = app(X0,skaf80(X1))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f8419,f6580]) ).
fof(f8834,plain,
! [X0,X1] :
( ~ sQ799_spl
| ~ ssList(skaf77(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf77(X1)),nil),nil) = app(X0,skaf77(X1))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f8419,f6499]) ).
fof(f8835,plain,
! [X0,X1] :
( ~ sQ778_spl
| ~ ssList(skaf76(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf76(X1)),nil),nil) = app(X0,skaf76(X1))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f8419,f6303]) ).
fof(f8836,plain,
! [X0,X1] :
( ~ sQ765_spl
| ~ ssList(skaf75(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf75(X1)),nil),nil) = app(X0,skaf75(X1))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f8419,f6222]) ).
fof(f8837,plain,
! [X0,X1] :
( ~ sQ752_spl
| ~ ssList(skaf73(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf73(X1)),nil),nil) = app(X0,skaf73(X1))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f8419,f6141]) ).
fof(f8838,plain,
! [X0,X1] :
( ~ sQ719_spl
| ~ ssList(skaf72(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf72(X1)),nil),nil) = app(X0,skaf72(X1))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f8419,f5860]) ).
fof(f8839,plain,
! [X0,X1] :
( ~ sQ706_spl
| ~ ssList(skaf71(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf71(X1)),nil),nil) = app(X0,skaf71(X1))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f8419,f5779]) ).
fof(f8840,plain,
! [X0,X1] :
( ~ sQ693_spl
| ~ ssList(skaf68(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf68(X1)),nil),nil) = app(X0,skaf68(X1))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f8419,f5698]) ).
fof(f8841,plain,
! [X0,X1] :
( ~ sQ680_spl
| ~ ssList(skaf67(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf67(X1)),nil),nil) = app(X0,skaf67(X1))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f8419,f5617]) ).
fof(f8842,plain,
! [X0,X1] :
( ~ sQ545_spl
| ~ ssList(skaf66(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf66(X1)),nil),nil) = app(X0,skaf66(X1))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f8419,f4709]) ).
fof(f8843,plain,
! [X0,X1] :
( ~ sQ535_spl
| ~ ssList(skaf63(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf63(X1)),nil),nil) = app(X0,skaf63(X1))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f8419,f4648]) ).
fof(f8844,plain,
! [X0,X1] :
( ~ sQ525_spl
| ~ ssList(skaf62(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf62(X1)),nil),nil) = app(X0,skaf62(X1))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f8419,f4587]) ).
fof(f8845,plain,
! [X0,X1] :
( ~ sQ515_spl
| ~ ssList(skaf61(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf61(X1)),nil),nil) = app(X0,skaf61(X1))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f8419,f4526]) ).
fof(f8846,plain,
! [X0,X1] :
( ~ sQ375_spl
| ~ ssList(skaf58(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf58(X1)),nil),nil) = app(X0,skaf58(X1))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f8419,f3650]) ).
fof(f8847,plain,
! [X0,X1] :
( ~ sQ366_spl
| ~ ssList(skaf57(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf57(X1)),nil),nil) = app(X0,skaf57(X1))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f8419,f3595]) ).
fof(f8848,plain,
! [X0,X1] :
( ~ sQ357_spl
| ~ ssList(skaf56(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf56(X1)),nil),nil) = app(X0,skaf56(X1))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f8419,f3540]) ).
fof(f8849,plain,
! [X0,X1] :
( ~ sQ203_spl
| ~ ssList(skaf53(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf53(X1)),nil),nil) = app(X0,skaf53(X1))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f8419,f2362]) ).
fof(f8850,plain,
! [X0,X1] :
( ~ sQ194_spl
| ~ ssList(skaf52(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf52(X1)),nil),nil) = app(X0,skaf52(X1))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f8419,f2307]) ).
fof(f8851,plain,
! [X0,X1] :
( ~ sQ185_spl
| ~ ssList(skaf51(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf51(X1)),nil),nil) = app(X0,skaf51(X1))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f8419,f2252]) ).
fof(f8852,plain,
! [X0] :
( ~ sQ15_spl
| ~ ssList(nil)
| ~ ssList(X0)
| app(skaf46(app(X0,nil),nil),nil) = app(X0,nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f8419,f585]) ).
fof(f8853,plain,
! [X0] :
( ~ sQ65_spl
| ~ ssList(sk3)
| ~ ssList(X0)
| app(skaf46(app(X0,sk3),nil),nil) = app(X0,sk3)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f8419,f1058]) ).
fof(f8854,plain,
! [X0] :
( ~ sQ95_spl
| ~ ssList(sk3)
| ~ ssList(X0)
| app(skaf46(app(X0,sk3),sk3),sk3) = app(X0,sk3)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f8419,f1275]) ).
fof(f8855,plain,
! [X0] :
( ~ sQ85_spl
| ~ ssList(sk4)
| ~ ssList(X0)
| app(skaf46(app(X0,sk4),nil),nil) = app(X0,sk4)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f8419,f1180]) ).
fof(f8856,plain,
! [X0] :
( ~ sQ110_spl
| ~ ssList(sk4)
| ~ ssList(X0)
| app(skaf46(app(X0,sk4),sk4),sk4) = app(X0,sk4)
| ~ ssList(sk4) ),
inference(resolution,[status(thm)],[f8419,f1367]) ).
fof(f8860,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(skaf46(app(X0,X1),nil),nil) = app(X0,X1)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f8419,f257]) ).
fof(f8863,definition,
! [X0,X1] :
( sQ985_spl
<=> ( ~ ssList(skaf82(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf82(X1)),nil),nil) = app(X0,skaf82(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ985_spl])],[split_symbol_definition]) ).
fof(f8866,plain,
( ~ sQ838_spl
| sQ985_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8831,f581,f8863,f6741]) ).
fof(f8867,definition,
! [X0,X1] :
( sQ986_spl
<=> ( ~ ssList(skaf81(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf81(X1)),nil),nil) = app(X0,skaf81(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ986_spl])],[split_symbol_definition]) ).
fof(f8870,plain,
( ~ sQ825_spl
| sQ986_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8832,f581,f8867,f6660]) ).
fof(f8871,definition,
! [X0,X1] :
( sQ987_spl
<=> ( ~ ssList(skaf80(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf80(X1)),nil),nil) = app(X0,skaf80(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ987_spl])],[split_symbol_definition]) ).
fof(f8874,plain,
( ~ sQ812_spl
| sQ987_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8833,f581,f8871,f6579]) ).
fof(f8875,definition,
! [X0,X1] :
( sQ988_spl
<=> ( ~ ssList(skaf77(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf77(X1)),nil),nil) = app(X0,skaf77(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ988_spl])],[split_symbol_definition]) ).
fof(f8878,plain,
( ~ sQ799_spl
| sQ988_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8834,f581,f8875,f6498]) ).
fof(f8879,definition,
! [X0,X1] :
( sQ989_spl
<=> ( ~ ssList(skaf76(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf76(X1)),nil),nil) = app(X0,skaf76(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ989_spl])],[split_symbol_definition]) ).
fof(f8882,plain,
( ~ sQ778_spl
| sQ989_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8835,f581,f8879,f6302]) ).
fof(f8883,definition,
! [X0,X1] :
( sQ990_spl
<=> ( ~ ssList(skaf75(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf75(X1)),nil),nil) = app(X0,skaf75(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ990_spl])],[split_symbol_definition]) ).
fof(f8886,plain,
( ~ sQ765_spl
| sQ990_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8836,f581,f8883,f6221]) ).
fof(f8887,definition,
! [X0,X1] :
( sQ991_spl
<=> ( ~ ssList(skaf73(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf73(X1)),nil),nil) = app(X0,skaf73(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ991_spl])],[split_symbol_definition]) ).
fof(f8890,plain,
( ~ sQ752_spl
| sQ991_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8837,f581,f8887,f6140]) ).
fof(f8891,definition,
! [X0,X1] :
( sQ992_spl
<=> ( ~ ssList(skaf72(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf72(X1)),nil),nil) = app(X0,skaf72(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ992_spl])],[split_symbol_definition]) ).
fof(f8894,plain,
( ~ sQ719_spl
| sQ992_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8838,f581,f8891,f5859]) ).
fof(f8895,definition,
! [X0,X1] :
( sQ993_spl
<=> ( ~ ssList(skaf71(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf71(X1)),nil),nil) = app(X0,skaf71(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ993_spl])],[split_symbol_definition]) ).
fof(f8898,plain,
( ~ sQ706_spl
| sQ993_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8839,f581,f8895,f5778]) ).
fof(f8899,definition,
! [X0,X1] :
( sQ994_spl
<=> ( ~ ssList(skaf68(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf68(X1)),nil),nil) = app(X0,skaf68(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ994_spl])],[split_symbol_definition]) ).
fof(f8902,plain,
( ~ sQ693_spl
| sQ994_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8840,f581,f8899,f5697]) ).
fof(f8903,definition,
! [X0,X1] :
( sQ995_spl
<=> ( ~ ssList(skaf67(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf67(X1)),nil),nil) = app(X0,skaf67(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ995_spl])],[split_symbol_definition]) ).
fof(f8906,plain,
( ~ sQ680_spl
| sQ995_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8841,f581,f8903,f5616]) ).
fof(f8907,definition,
! [X0,X1] :
( sQ996_spl
<=> ( ~ ssList(skaf66(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf66(X1)),nil),nil) = app(X0,skaf66(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ996_spl])],[split_symbol_definition]) ).
fof(f8910,plain,
( ~ sQ545_spl
| sQ996_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8842,f581,f8907,f4708]) ).
fof(f8911,definition,
! [X0,X1] :
( sQ997_spl
<=> ( ~ ssList(skaf63(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf63(X1)),nil),nil) = app(X0,skaf63(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ997_spl])],[split_symbol_definition]) ).
fof(f8914,plain,
( ~ sQ535_spl
| sQ997_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8843,f581,f8911,f4647]) ).
fof(f8915,definition,
! [X0,X1] :
( sQ998_spl
<=> ( ~ ssList(skaf62(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf62(X1)),nil),nil) = app(X0,skaf62(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ998_spl])],[split_symbol_definition]) ).
fof(f8918,plain,
( ~ sQ525_spl
| sQ998_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8844,f581,f8915,f4586]) ).
fof(f8919,definition,
! [X0,X1] :
( sQ999_spl
<=> ( ~ ssList(skaf61(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf61(X1)),nil),nil) = app(X0,skaf61(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ999_spl])],[split_symbol_definition]) ).
fof(f8922,plain,
( ~ sQ515_spl
| sQ999_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8845,f581,f8919,f4525]) ).
fof(f8923,definition,
! [X0,X1] :
( sQ1000_spl
<=> ( ~ ssList(skaf58(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf58(X1)),nil),nil) = app(X0,skaf58(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ1000_spl])],[split_symbol_definition]) ).
fof(f8926,plain,
( ~ sQ375_spl
| sQ1000_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8846,f581,f8923,f3649]) ).
fof(f8927,definition,
! [X0,X1] :
( sQ1001_spl
<=> ( ~ ssList(skaf57(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf57(X1)),nil),nil) = app(X0,skaf57(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ1001_spl])],[split_symbol_definition]) ).
fof(f8930,plain,
( ~ sQ366_spl
| sQ1001_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8847,f581,f8927,f3594]) ).
fof(f8931,definition,
! [X0,X1] :
( sQ1002_spl
<=> ( ~ ssList(skaf56(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf56(X1)),nil),nil) = app(X0,skaf56(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ1002_spl])],[split_symbol_definition]) ).
fof(f8934,plain,
( ~ sQ357_spl
| sQ1002_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8848,f581,f8931,f3539]) ).
fof(f8935,definition,
! [X0,X1] :
( sQ1003_spl
<=> ( ~ ssList(skaf53(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf53(X1)),nil),nil) = app(X0,skaf53(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ1003_spl])],[split_symbol_definition]) ).
fof(f8938,plain,
( ~ sQ203_spl
| sQ1003_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8849,f581,f8935,f2361]) ).
fof(f8939,definition,
! [X0,X1] :
( sQ1004_spl
<=> ( ~ ssList(skaf52(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf52(X1)),nil),nil) = app(X0,skaf52(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ1004_spl])],[split_symbol_definition]) ).
fof(f8942,plain,
( ~ sQ194_spl
| sQ1004_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8850,f581,f8939,f2306]) ).
fof(f8943,definition,
! [X0,X1] :
( sQ1005_spl
<=> ( ~ ssList(skaf51(X1))
| ~ ssList(X0)
| app(skaf46(app(X0,skaf51(X1)),nil),nil) = app(X0,skaf51(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ1005_spl])],[split_symbol_definition]) ).
fof(f8946,plain,
( ~ sQ185_spl
| sQ1005_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8851,f581,f8943,f2251]) ).
fof(f8947,definition,
! [X0] :
( sQ1006_spl
<=> ( ~ ssList(X0)
| app(skaf46(app(X0,nil),nil),nil) = app(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[sQ1006_spl])],[split_symbol_definition]) ).
fof(f8950,plain,
( ~ sQ15_spl
| sQ1006_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8852,f581,f8947,f584]) ).
fof(f8951,definition,
! [X0] :
( sQ1007_spl
<=> ( ~ ssList(X0)
| app(skaf46(app(X0,sk3),nil),nil) = app(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ1007_spl])],[split_symbol_definition]) ).
fof(f8954,plain,
( ~ sQ65_spl
| ~ sQ12_spl
| sQ1007_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8853,f581,f8951,f572,f1046]) ).
fof(f8955,definition,
! [X0] :
( sQ1008_spl
<=> ( ~ ssList(X0)
| app(skaf46(app(X0,sk3),sk3),sk3) = app(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ1008_spl])],[split_symbol_definition]) ).
fof(f8958,plain,
( ~ sQ95_spl
| sQ1008_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f8854,f572,f8955,f1263]) ).
fof(f8959,definition,
! [X0] :
( sQ1009_spl
<=> ( ~ ssList(X0)
| app(skaf46(app(X0,sk4),nil),nil) = app(X0,sk4) ) ),
introduced(definition,[new_symbols(definition,[sQ1009_spl])],[split_symbol_definition]) ).
fof(f8962,plain,
( ~ sQ85_spl
| ~ sQ10_spl
| sQ1009_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8855,f581,f8959,f554,f1168]) ).
fof(f8963,definition,
! [X0] :
( sQ1010_spl
<=> ( ~ ssList(X0)
| app(skaf46(app(X0,sk4),sk4),sk4) = app(X0,sk4) ) ),
introduced(definition,[new_symbols(definition,[sQ1010_spl])],[split_symbol_definition]) ).
fof(f8966,plain,
( ~ sQ110_spl
| sQ1010_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f8856,f554,f8963,f1355]) ).
fof(f8975,definition,
! [X0,X1] :
( sQ1012_spl
<=> ( ~ ssList(X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(skaf46(app(X0,X1),nil),nil) = app(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ1012_spl])],[split_symbol_definition]) ).
fof(f8978,plain,
( sQ1012_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f8860,f581,f8975]) ).
fof(f9135,plain,
! [X0,X1] :
( ~ ssList(X1)
| frontsegP(app(X1,X0),nil)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f351,f259]) ).
fof(f9137,definition,
! [X0,X1] :
( sQ1013_spl
<=> ( ~ ssList(X1)
| frontsegP(app(X1,X0),nil)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1013_spl])],[split_symbol_definition]) ).
fof(f9140,plain,
( ~ sQ14_spl
| sQ1013_spl ),
inference(split_clause,[status(thm)],[f9135,f9137,f581]) ).
fof(f9145,plain,
( ~ sQ959_spl
| ~ sQ947_spl
| segmentP(sk4,sk3)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1018,f8569]) ).
fof(f9148,plain,
( ~ sQ959_spl
| ~ sQ947_spl
| sQ20_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f9145,f581,f643,f8412,f8549]) ).
fof(f9149,plain,
$false,
inference(sat_refutation,[status(thm)],[f461,f465,f473,f481,f482,f543,f563,f578,f587,f591,f600,f603,f621,f640,f646,f648,f650,f655,f689,f706,f710,f714,f722,f804,f842,f851,f871,f875,f948,f960,f961,f965,f978,f982,f1029,f1033,f1041,f1045,f1049,f1076,f1080,f1084,f1097,f1100,f1111,f1115,f1123,f1127,f1131,f1135,f1151,f1155,f1163,f1167,f1171,f1192,f1197,f1204,f1246,f1250,f1258,f1262,f1266,f1303,f1308,f1323,f1335,f1339,f1350,f1354,f1358,f1390,f1395,f1410,f1413,f1426,f1438,f1453,f1460,f1473,f1532,f1731,f1735,f1739,f1743,f1747,f1838,f1842,f1846,f1850,f1854,f1858,f1862,f1887,f1891,f1895,f1899,f1903,f1907,f1911,f1936,f1940,f1944,f1948,f1952,f1956,f1960,f1985,f1989,f1993,f1997,f2001,f2005,f2009,f2034,f2038,f2042,f2046,f2050,f2054,f2058,f2083,f2087,f2091,f2095,f2099,f2103,f2107,f2132,f2136,f2140,f2144,f2148,f2152,f2156,f2218,f2226,f2230,f2234,f2242,f2255,f2259,f2273,f2277,f2281,f2286,f2294,f2298,f2310,f2314,f2328,f2332,f2336,f2341,f2349,f2353,f2365,f2369,f2387,f2391,f2395,f2399,f2403,f2407,f2411,f2415,f2419,f2423,f2427,f2431,f2474,f2478,f2482,f2486,f2490,f2494,f2498,f2502,f2506,f2510,f2514,f2518,f2568,f2572,f2576,f2581,f2589,f2593,f2609,f2613,f2617,f2621,f2625,f2629,f2633,f2637,f2641,f2675,f2679,f2683,f2687,f2691,f2695,f2699,f2703,f2707,f2741,f2745,f2749,f2753,f2757,f2761,f2765,f2769,f2773,f2807,f2811,f2815,f2819,f2823,f2827,f2831,f2835,f2839,f2873,f2877,f2881,f2885,f2889,f2893,f2897,f2901,f2905,f2939,f2943,f2947,f2951,f2955,f2959,f2963,f2967,f2971,f3005,f3009,f3013,f3017,f3021,f3025,f3029,f3033,f3037,f3071,f3075,f3079,f3083,f3087,f3091,f3095,f3099,f3103,f3137,f3141,f3145,f3149,f3153,f3157,f3161,f3165,f3169,f3203,f3207,f3211,f3215,f3219,f3223,f3227,f3231,f3235,f3269,f3273,f3277,f3281,f3285,f3289,f3293,f3297,f3301,f3379,f3383,f3395,f3441,f3461,f3465,f3469,f3473,f3477,f3481,f3485,f3489,f3493,f3497,f3501,f3505,f3509,f3513,f3517,f3521,f3525,f3529,f3543,f3547,f3561,f3565,f3569,f3574,f3578,f3582,f3586,f3598,f3602,f3616,f3620,f3624,f3629,f3633,f3637,f3641,f3653,f3657,f3671,f3675,f3679,f3684,f3688,f3692,f3696,f3720,f3724,f3728,f3732,f3736,f3740,f3744,f3748,f3752,f3756,f3760,f3772,f3813,f3817,f3821,f3825,f3829,f3833,f3837,f3841,f3845,f3849,f3853,f3857,f3861,f3865,f3869,f3873,f3877,f3881,f3893,f3897,f3901,f3930,f3934,f3938,f3942,f3946,f3950,f3954,f3974,f3978,f3982,f3986,f3990,f3994,f3998,f4018,f4022,f4026,f4030,f4034,f4038,f4042,f4063,f4067,f4071,f4075,f4079,f4083,f4087,f4107,f4111,f4115,f4119,f4123,f4127,f4131,f4151,f4155,f4159,f4163,f4167,f4171,f4175,f4195,f4199,f4203,f4207,f4211,f4215,f4219,f4239,f4243,f4247,f4251,f4255,f4259,f4263,f4283,f4287,f4291,f4295,f4299,f4303,f4307,f4327,f4331,f4335,f4339,f4343,f4347,f4351,f4371,f4375,f4379,f4383,f4387,f4391,f4395,f4415,f4419,f4423,f4427,f4431,f4435,f4439,f4458,f4462,f4466,f4484,f4488,f4492,f4507,f4515,f4519,f4529,f4533,f4548,f4552,f4556,f4560,f4565,f4569,f4573,f4577,f4590,f4594,f4609,f4613,f4617,f4621,f4626,f4630,f4634,f4638,f4651,f4655,f4670,f4674,f4678,f4682,f4687,f4691,f4695,f4699,f4712,f4716,f4813,f4821,f4829,f4837,f4845,f4853,f4861,f4869,f4877,f4882,f4887,f4892,f4897,f4902,f4916,f4922,f4926,f4930,f4934,f4938,f4942,f4946,f4950,f4954,f4960,f4966,f4981,f5025,f5048,f5052,f5058,f5062,f5066,f5070,f5075,f5079,f5083,f5087,f5104,f5108,f5112,f5116,f5120,f5124,f5128,f5148,f5152,f5156,f5160,f5164,f5168,f5172,f5192,f5196,f5200,f5204,f5208,f5212,f5216,f5236,f5240,f5244,f5248,f5252,f5256,f5260,f5280,f5284,f5288,f5292,f5296,f5300,f5304,f5324,f5328,f5332,f5336,f5340,f5344,f5348,f5368,f5372,f5376,f5380,f5384,f5388,f5392,f5412,f5416,f5420,f5424,f5428,f5432,f5436,f5456,f5460,f5464,f5468,f5472,f5476,f5480,f5500,f5504,f5508,f5512,f5516,f5520,f5524,f5544,f5548,f5552,f5556,f5560,f5564,f5568,f5581,f5586,f5592,f5597,f5611,f5620,f5624,f5648,f5652,f5658,f5662,f5666,f5670,f5675,f5679,f5683,f5687,f5701,f5705,f5729,f5733,f5739,f5743,f5747,f5751,f5756,f5760,f5764,f5768,f5782,f5786,f5810,f5814,f5820,f5824,f5828,f5832,f5837,f5841,f5845,f5849,f5863,f5867,f5891,f5895,f5901,f5905,f5909,f5913,f5918,f5922,f5926,f5930,f5943,f5952,f5956,f5960,f5973,f5985,f5989,f5993,f5997,f6001,f6005,f6009,f6061,f6069,f6073,f6077,f6089,f6097,f6098,f6128,f6132,f6144,f6148,f6172,f6176,f6182,f6186,f6190,f6194,f6199,f6203,f6207,f6211,f6225,f6229,f6253,f6257,f6263,f6267,f6271,f6275,f6280,f6284,f6288,f6292,f6306,f6310,f6334,f6338,f6344,f6348,f6352,f6356,f6361,f6365,f6369,f6373,f6388,f6394,f6455,f6465,f6472,f6482,f6492,f6502,f6506,f6530,f6534,f6540,f6544,f6548,f6552,f6557,f6561,f6565,f6569,f6583,f6587,f6611,f6615,f6621,f6625,f6629,f6633,f6638,f6642,f6646,f6650,f6664,f6668,f6692,f6696,f6702,f6706,f6710,f6714,f6719,f6723,f6727,f6731,f6745,f6749,f6773,f6777,f6783,f6787,f6791,f6795,f6800,f6804,f6808,f6812,f6837,f6982,f6988,f6998,f7036,f7040,f7044,f7048,f7049,f7050,f7059,f7063,f7285,f7294,f7302,f7308,f7333,f7340,f7345,f7370,f7378,f7472,f7474,f7500,f7504,f7514,f7522,f7526,f7527,f7588,f7595,f7599,f7603,f7609,f7613,f7618,f7626,f7671,f7963,f7967,f7977,f8044,f8094,f8144,f8155,f8159,f8311,f8315,f8319,f8323,f8327,f8331,f8335,f8339,f8343,f8347,f8351,f8355,f8359,f8363,f8367,f8371,f8375,f8379,f8383,f8387,f8391,f8395,f8399,f8403,f8407,f8411,f8415,f8423,f8453,f8552,f8562,f8609,f8611,f8626,f8630,f8634,f8638,f8640,f8642,f8672,f8676,f8680,f8682,f8684,f8703,f8707,f8711,f8715,f8717,f8719,f8740,f8744,f8748,f8752,f8754,f8756,f8776,f8780,f8784,f8788,f8866,f8870,f8874,f8878,f8882,f8886,f8890,f8894,f8898,f8902,f8906,f8910,f8914,f8918,f8922,f8926,f8930,f8934,f8938,f8942,f8946,f8950,f8954,f8958,f8962,f8966,f8978,f9140,f9148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC058-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.41 % Computer : n008.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Mon Sep 21 07:52:53 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 10.62/1.92 % Refutation found
% 10.62/1.92 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 10.62/1.92 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 8.87/2.00 % Elapsed time: 1.567444 seconds
% 8.87/2.00 % CPU time: 11.522452 seconds
% 8.87/2.00 % Total memory used: 188.318 MB
% 8.87/2.00 % Net memory used: 180.848 MB
%------------------------------------------------------------------------------