%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC057-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 0.27s 0.85s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 492
% Syntax : Number of formulae : 1554 ( 101 unt; 430 def)
% Number of atoms : 6328 ( 420 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 9072 (4298 ~;4344 |; 0 &)
% ( 430 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 438 ( 436 usr; 431 prp; 0-2 aty)
% Number of functors : 35 ( 35 usr; 7 con; 0-2 aty)
% Number of variables : 1741 (1741 !; 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(f12,axiom,
! [U] : ssItem(skaf83(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [U] : ssList(skaf82(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(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(f46,axiom,
! [U] : ssItem(skaf49(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,axiom,
! [U,V] : ssList(skaf45(U,V)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [U] :
( segmentP(U,nil)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,axiom,
! [U] :
( segmentP(U,U)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,axiom,
! [U] :
( rearsegP(U,nil)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,axiom,
! [U] :
( frontsegP(U,nil)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f73,axiom,
! [U] :
( app(U,nil) = U
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,axiom,
! [U] :
( app(nil,U) = U
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f80,axiom,
! [U] :
( nil = U
| ~ ssList(U)
| ~ segmentP(nil,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f84,axiom,
! [U] :
( nil = U
| ~ ssList(U)
| ~ frontsegP(nil,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f85,axiom,
! [U,V] :
( ssList(app(V,U))
| ~ ssList(V)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f115,axiom,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| ~ neq(U,V)
| U != V ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f123,axiom,
! [U,V] :
( hd(app(V,U)) = hd(V)
| nil = V
| ~ ssList(V)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f127,axiom,
! [U,V] :
( V = U
| ~ ssList(V)
| ~ ssList(U)
| ~ segmentP(V,U)
| ~ segmentP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f128,axiom,
! [U,V] :
( V = U
| ~ ssList(V)
| ~ ssList(U)
| ~ rearsegP(V,U)
| ~ rearsegP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f129,axiom,
! [U,V] :
( V = U
| ~ ssList(V)
| ~ ssList(U)
| ~ frontsegP(V,U)
| ~ frontsegP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f131,axiom,
! [U,V] :
( app(skaf46(U,V),V) = U
| ~ ssList(U)
| ~ ssList(V)
| ~ rearsegP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f132,axiom,
! [U,V] :
( app(V,skaf45(U,V)) = U
| ~ ssList(U)
| ~ ssList(V)
| ~ frontsegP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f136,axiom,
! [U,V,W] :
( rearsegP(app(W,U),V)
| ~ ssList(U)
| ~ ssList(V)
| ~ ssList(W)
| ~ rearsegP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f137,axiom,
! [U,V,W] :
( frontsegP(app(U,W),V)
| ~ ssList(U)
| ~ ssList(V)
| ~ ssList(W)
| ~ frontsegP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f143,axiom,
! [U,V,W] :
( rearsegP(W,V)
| ~ ssList(W)
| ~ ssList(V)
| ~ ssList(U)
| app(U,V) != W ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f144,axiom,
! [U,V,W] :
( frontsegP(W,U)
| ~ ssList(W)
| ~ ssList(U)
| ~ ssList(V)
| app(U,V) != W ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f152,axiom,
! [U,V,W] :
( segmentP(U,W)
| ~ ssList(U)
| ~ ssList(V)
| ~ ssList(W)
| ~ segmentP(V,W)
| ~ segmentP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f154,axiom,
! [U,V,W] :
( frontsegP(U,W)
| ~ ssList(U)
| ~ ssList(V)
| ~ ssList(W)
| ~ frontsegP(V,W)
| ~ frontsegP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f172,axiom,
! [U,V,W,X] :
( segmentP(app(app(X,U),W),V)
| ~ ssList(U)
| ~ ssList(V)
| ~ ssList(X)
| ~ ssList(W)
| ~ segmentP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f173,axiom,
! [U,V,W,X] :
( segmentP(X,V)
| ~ ssList(X)
| ~ ssList(V)
| ~ ssList(U)
| ~ ssList(W)
| app(app(U,V),W) != X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f174,axiom,
! [U,V,W,X] :
( frontsegP(V,X)
| ~ ssItem(U)
| ~ ssItem(W)
| ~ ssList(V)
| ~ ssList(X)
| ~ frontsegP(cons(U,V),cons(W,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f178,axiom,
! [U,V,W,X] :
( frontsegP(cons(W,U),cons(X,V))
| ~ ssItem(W)
| ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(V)
| W != X
| ~ frontsegP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f187,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f188,negated_conjecture,
ssList(sk3),
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(f197,negated_conjecture,
( frontsegP(sk4,sk3)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f199,negated_conjecture,
( frontsegP(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(f211,plain,
! [X0] : ssItem(skaf83(X0)),
inference(cnf_transformation,[status(thm)],[f12]) ).
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(f245,plain,
! [X0] : ssItem(skaf49(X0)),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f250,plain,
! [X0,X1] : ssList(skaf45(X0,X1)),
inference(cnf_transformation,[status(thm)],[f51]) ).
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(f280,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f284,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(cnf_transformation,[status(thm)],[f84]) ).
fof(f285,plain,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
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(f333,plain,
! [X0,X1] :
( hd(app(X1,X0)) = hd(X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
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(f359,plain,
! [U,W] :
( frontsegP(W,U)
| ~ ssList(W)
| ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| app(U,V) != W ) ),
inference(miniscoping,[status(thm)],[f144]) ).
fof(f360,plain,
! [X0,X1,X2] :
( frontsegP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != X2 ),
inference(cnf_transformation,[status(thm)],[f359]) ).
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(f377,plain,
! [U,W] :
( frontsegP(U,W)
| ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| ~ ssList(W)
| ~ frontsegP(V,W)
| ~ frontsegP(U,V) ) ),
inference(miniscoping,[status(thm)],[f154]) ).
fof(f378,plain,
! [X0,X1,X2] :
( frontsegP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f377]) ).
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(f407,plain,
! [V,X] :
( frontsegP(V,X)
| ! [U] :
( ~ ssItem(U)
| ! [W] :
( ~ ssItem(W)
| ~ ssList(V)
| ~ ssList(X)
| ~ frontsegP(cons(U,V),cons(W,X)) ) ) ),
inference(miniscoping,[status(thm)],[f174]) ).
fof(f408,plain,
! [X0,X1,X2,X3] :
( frontsegP(X1,X3)
| ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f407]) ).
fof(f415,plain,
! [X0,X1,X2,X3] :
( frontsegP(cons(X2,X0),cons(X3,X1))
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ ssList(X0)
| ~ ssList(X1)
| X2 != X3
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f431,plain,
ssList(sk2),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f432,plain,
ssList(sk3),
inference(cnf_transformation,[status(thm)],[f188]) ).
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(f441,plain,
( frontsegP(sk4,sk3)
| nil = sk4 ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f443,plain,
( frontsegP(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(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
<=> frontsegP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f475,plain,
( ~ sQ8_spl
| frontsegP(sk4,sk3) ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,plain,
( sQ8_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f441,f467,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(f482,plain,
( sQ8_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f443,f478,f474]) ).
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(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(f498,plain,
! [X0,X1] :
( frontsegP(app(X1,X0),X1)
| ~ ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f360]) ).
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(f503,plain,
! [X0,X1,X3] :
( frontsegP(cons(X3,X0),cons(X3,X1))
| ~ ssItem(X3)
| ~ ssItem(X3)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f415]) ).
fof(f504,plain,
! [X0,X1,X2] :
( frontsegP(cons(X2,X0),cons(X2,X1))
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f503]) ).
fof(f514,plain,
( ~ sQ9_spl
| sk1 = nil ),
inference(backward_demodulation,[status(thm)],[f479,f435]) ).
fof(f516,plain,
( ~ sQ6_spl
| sk2 = nil ),
inference(backward_demodulation,[status(thm)],[f468,f434]) ).
fof(f518,plain,
( ~ sQ9_spl
| sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f514,f464]) ).
fof(f519,plain,
( ~ sQ9_spl
| sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f518]) ).
fof(f520,plain,
( ~ ssList(nil)
| nil = nil
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f280,f255]) ).
fof(f522,definition,
( sQ10_spl
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f524,plain,
( sQ10_spl
| ~ ssList(nil) ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f525,definition,
( sQ11_spl
<=> nil = nil ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f528,plain,
( sQ11_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f520,f522,f525]) ).
fof(f530,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f524,f207]) ).
fof(f531,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f530]) ).
fof(f546,definition,
( sQ12_spl
<=> segmentP(nil,nil) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f547,plain,
( ~ sQ12_spl
| segmentP(nil,nil) ),
inference(component_clause,[status(thm)],[f546]) ).
fof(f548,plain,
( sQ12_spl
| ~ segmentP(nil,nil) ),
inference(component_clause,[status(thm)],[f546]) ).
fof(f552,plain,
( ~ sQ8_spl
| ~ sQ2_spl
| frontsegP(nil,sk3) ),
inference(backward_demodulation,[status(thm)],[f553,f475]) ).
fof(f553,plain,
( ~ sQ2_spl
| nil = sk4 ),
inference(forward_demodulation,[status(thm)],[f452,f434]) ).
fof(f558,plain,
( ~ sQ8_spl
| ~ sQ2_spl
| nil = sk3
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f552,f284]) ).
fof(f559,definition,
( sQ13_spl
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f561,plain,
( sQ13_spl
| ~ ssList(sk3) ),
inference(component_clause,[status(thm)],[f559]) ).
fof(f562,plain,
( ~ sQ8_spl
| ~ sQ2_spl
| sQ9_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f558,f559,f478,f451,f474]) ).
fof(f563,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| neq(nil,nil) ),
inference(forward_demodulation,[status(thm)],[f452,f455]) ).
fof(f564,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f561,f432]) ).
fof(f565,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f564]) ).
fof(f571,plain,
! [X0] :
( ~ ssList(X0)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(nil,X0) ),
inference(resolution,[status(thm)],[f339,f255]) ).
fof(f573,definition,
! [X0] :
( sQ14_spl
<=> ( ~ ssList(X0)
| X0 = nil
| ~ ssList(X0)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f576,plain,
( ~ sQ10_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f571,f573,f522]) ).
fof(f578,plain,
! [X0] :
( ~ ssList(X0)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(nil)
| ~ frontsegP(nil,X0) ),
inference(resolution,[status(thm)],[f341,f259]) ).
fof(f580,definition,
! [X0] :
( sQ15_spl
<=> ( ~ ssList(X0)
| X0 = nil
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f583,plain,
( ~ sQ10_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f578,f580,f522]) ).
fof(f586,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f563,f491]) ).
fof(f587,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f586,f522,f451,f454]) ).
fof(f588,plain,
( ~ sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f516,f451,f467]) ).
fof(f590,plain,
! [X0,X1,X2] :
( app(X0,X2) = X1
| ~ ssList(app(X0,X2))
| ~ ssList(X1)
| ~ frontsegP(X1,app(X0,X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f351,f341]) ).
fof(f591,plain,
! [X0,X1,X2] :
( app(X0,X2) = X1
| ~ ssList(app(X0,X2))
| ~ frontsegP(X1,app(X0,X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f590]) ).
fof(f599,definition,
( sQ17_spl
<=> ssList(sk2) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f601,plain,
( sQ17_spl
| ~ ssList(sk2) ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f607,plain,
( sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f601,f431]) ).
fof(f608,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f607]) ).
fof(f610,plain,
! [X0,X1] :
( ~ ssList(X1)
| segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ segmentP(X0,X1) ),
inference(resolution,[status(thm)],[f374,f255]) ).
fof(f611,plain,
! [X0,X1,X2,X3] :
( ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(X3,X2)
| ~ segmentP(X1,X3)
| segmentP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X0,X1) ),
inference(resolution,[status(thm)],[f374,f374]) ).
fof(f613,plain,
! [X0,X1] :
( nil = X1
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| ~ segmentP(nil,X0) ),
inference(resolution,[status(thm)],[f374,f280]) ).
fof(f615,plain,
! [X0,X1,X2] :
( X0 = X2
| ~ ssList(X0)
| ~ ssList(X2)
| ~ segmentP(X2,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1) ),
inference(resolution,[status(thm)],[f374,f339]) ).
fof(f616,definition,
! [X0,X1] :
( sQ19_spl
<=> ( ~ ssList(X1)
| segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f619,plain,
( ~ sQ10_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f610,f616,f522]) ).
fof(f620,plain,
! [X0,X1,X2,X3] :
( ~ ssList(X3)
| ~ segmentP(X3,X2)
| ~ segmentP(X1,X3)
| segmentP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f611]) ).
fof(f621,definition,
! [X0,X1] :
( sQ20_spl
<=> ( nil = X1
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f622,plain,
! [X0,X1] :
( ~ sQ20_spl
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| ~ segmentP(nil,X0) ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f624,plain,
( ~ sQ10_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f613,f621,f522]) ).
fof(f626,plain,
! [X0,X1,X2] :
( X0 = X2
| ~ segmentP(X2,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f615]) ).
fof(f628,plain,
! [X0,X1] :
( ~ sQ20_spl
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| ~ segmentP(nil,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f622]) ).
fof(f629,plain,
! [X0,X1] :
( nil = X1
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ frontsegP(nil,X0) ),
inference(resolution,[status(thm)],[f378,f284]) ).
fof(f630,plain,
! [X0,X1,X2] :
( X0 = X2
| ~ ssList(X0)
| ~ ssList(X2)
| ~ frontsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f378,f341]) ).
fof(f631,definition,
! [X0,X1] :
( sQ21_spl
<=> ( nil = X1
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ frontsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f632,plain,
! [X0,X1] :
( ~ sQ21_spl
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ frontsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f631]) ).
fof(f634,plain,
( ~ sQ10_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f629,f631,f522]) ).
fof(f635,plain,
! [X0,X1,X2] :
( X0 = X2
| ~ frontsegP(X2,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f630]) ).
fof(f636,plain,
! [X0,X1] :
( ~ sQ21_spl
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ frontsegP(nil,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f632]) ).
fof(f637,plain,
( ~ sQ8_spl
| frontsegP(sk2,sk3) ),
inference(forward_demodulation,[status(thm)],[f434,f475]) ).
fof(f656,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(f657,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(f658,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)],[f656]) ).
fof(f659,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)],[f657]) ).
fof(f661,definition,
( sQ25_spl
<=> frontsegP(sk2,sk2) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f664,definition,
( sQ26_spl
<=> sk2 = sk2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f671,definition,
( sQ27_spl
<=> segmentP(sk2,sk2) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f672,plain,
( ~ sQ27_spl
| segmentP(sk2,sk2) ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f673,plain,
( sQ27_spl
| ~ segmentP(sk2,sk2) ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f690,plain,
! [X0] :
( ~ sQ4_spl
| ~ segmentP(sk3,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(backward_demodulation,[status(thm)],[f435,f459]) ).
fof(f696,plain,
( sQ12_spl
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f548,f255]) ).
fof(f699,plain,
( sQ12_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f696,f522,f546]) ).
fof(f700,definition,
! [X0] :
( sQ32_spl
<=> ( ~ ssList(X0)
| ~ segmentP(X0,nil)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f701,plain,
! [X0] :
( ~ sQ32_spl
| ~ ssList(X0)
| ~ segmentP(X0,nil)
| ~ segmentP(nil,X0) ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f705,plain,
! [X0] :
( ~ sQ32_spl
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f701,f255]) ).
fof(f711,plain,
! [X0,X1,X2] :
( frontsegP(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f504,f408]) ).
fof(f720,definition,
! [X0,X1] :
( sQ35_spl
<=> ( frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f723,definition,
! [X2] :
( sQ36_spl
<=> ( ~ ssItem(X2)
| ~ ssItem(X2)
| ~ ssItem(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f724,plain,
! [X0] :
( ~ sQ36_spl
| ~ ssItem(X0)
| ~ ssItem(X0)
| ~ ssItem(X0) ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f726,plain,
( sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f711,f720,f723]) ).
fof(f728,plain,
! [X0] :
( ~ sQ36_spl
| ~ ssItem(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f724]) ).
fof(f731,plain,
( ~ sQ4_spl
| ~ ssList(sk3)
| ~ segmentP(sk2,sk3)
| ~ neq(sk3,nil)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f690,f256]) ).
fof(f732,definition,
( sQ37_spl
<=> segmentP(sk2,nil) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f733,plain,
( ~ sQ37_spl
| segmentP(sk2,nil) ),
inference(component_clause,[status(thm)],[f732]) ).
fof(f740,definition,
( sQ39_spl
<=> segmentP(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f743,plain,
( ~ sQ4_spl
| ~ sQ39_spl
| ~ sQ7_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f731,f559,f470,f740,f458]) ).
fof(f745,plain,
( ~ sQ36_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f245,f728]) ).
fof(f761,plain,
~ sQ36_spl,
inference(contradiction_clause,[status(thm)],[f745]) ).
fof(f763,plain,
( sQ27_spl
| ~ ssList(sk2) ),
inference(resolution,[status(thm)],[f673,f256]) ).
fof(f768,plain,
( sQ27_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f763,f599,f671]) ).
fof(f790,definition,
! [X0] :
( sQ43_spl
<=> ( segmentP(X0,nil)
| ~ ssList(X0)
| ~ segmentP(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f826,plain,
! [X0] :
( ~ sQ27_spl
| segmentP(X0,sk2)
| ~ ssList(X0)
| ~ ssList(sk2)
| ~ ssList(sk2)
| ~ segmentP(X0,sk2) ),
inference(resolution,[status(thm)],[f672,f374]) ).
fof(f828,definition,
! [X0] :
( sQ46_spl
<=> ( segmentP(X0,sk2)
| ~ ssList(X0)
| ~ segmentP(X0,sk2) ) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f831,plain,
( ~ sQ27_spl
| ~ sQ17_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f826,f828,f599,f671]) ).
fof(f842,plain,
! [X0] :
( ~ sQ37_spl
| segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(sk2)
| ~ ssList(nil)
| ~ segmentP(X0,sk2) ),
inference(resolution,[status(thm)],[f733,f374]) ).
fof(f844,definition,
! [X0] :
( sQ48_spl
<=> ( segmentP(X0,nil)
| ~ ssList(X0)
| ~ segmentP(X0,sk2) ) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f847,plain,
( ~ sQ37_spl
| ~ sQ17_spl
| ~ sQ10_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f842,f844,f522,f599,f732]) ).
fof(f912,plain,
! [X0,X1] :
( ~ ssList(X1)
| frontsegP(X0,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f378,f259]) ).
fof(f913,plain,
! [X0,X1,X2,X3] :
( ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ frontsegP(X3,X2)
| ~ frontsegP(X1,X3)
| frontsegP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f378,f378]) ).
fof(f924,definition,
! [X0,X1] :
( sQ59_spl
<=> ( ~ ssList(X1)
| frontsegP(X0,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f927,plain,
( ~ sQ10_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f912,f924,f522]) ).
fof(f928,plain,
! [X0,X1,X2,X3] :
( ~ ssList(X3)
| ~ frontsegP(X3,X2)
| ~ frontsegP(X1,X3)
| frontsegP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f913]) ).
fof(f988,plain,
! [X0,X1,X2,X3] :
( frontsegP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(X0,X2))
| ~ ssList(X1)
| ~ frontsegP(X3,app(X0,X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f351,f378]) ).
fof(f993,plain,
! [X0,X1,X2,X3] :
( frontsegP(X3,X1)
| ~ ssList(X3)
| ~ ssList(app(X0,X2))
| ~ frontsegP(X3,app(X0,X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f988]) ).
fof(f1031,plain,
! [X0] :
( ~ sQ20_spl
| ~ ssList(nil)
| nil = X0
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(resolution,[status(thm)],[f628,f255]) ).
fof(f1032,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ segmentP(X2,X0)
| ~ segmentP(nil,X2)
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1) ),
inference(resolution,[status(thm)],[f628,f374]) ).
fof(f1034,definition,
! [X0] :
( sQ71_spl
<=> ( nil = X0
| ~ ssList(X0)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f1038,plain,
( ~ sQ20_spl
| ~ sQ10_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f1031,f1034,f522,f621]) ).
fof(f1039,definition,
! [X0,X1,X2] :
( sQ72_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ segmentP(X2,X0)
| ~ segmentP(nil,X2)
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1042,plain,
( ~ sQ20_spl
| ~ sQ10_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f1032,f1039,f522,f621]) ).
fof(f1045,plain,
! [X0] :
( ~ sQ21_spl
| ~ ssList(nil)
| nil = X0
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(resolution,[status(thm)],[f636,f259]) ).
fof(f1046,plain,
! [X0,X1,X2] :
( ~ sQ21_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ frontsegP(X2,X0)
| ~ frontsegP(nil,X2)
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f636,f378]) ).
fof(f1048,definition,
! [X0] :
( sQ73_spl
<=> ( nil = X0
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f1051,plain,
( ~ sQ21_spl
| ~ sQ10_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f1045,f1048,f522,f631]) ).
fof(f1052,definition,
! [X0,X1,X2] :
( sQ74_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ frontsegP(X2,X0)
| ~ frontsegP(nil,X2)
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f1055,plain,
( ~ sQ21_spl
| ~ sQ10_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f1046,f1052,f522,f631]) ).
fof(f1072,plain,
! [X0] : app(skaf51(X0),nil) = skaf51(X0),
inference(resolution,[status(thm)],[f273,f243]) ).
fof(f1073,plain,
! [X0] : app(skaf52(X0),nil) = skaf52(X0),
inference(resolution,[status(thm)],[f273,f242]) ).
fof(f1074,plain,
app(sk3,nil) = sk3,
inference(resolution,[status(thm)],[f273,f432]) ).
fof(f1075,plain,
! [X0] : app(skaf53(X0),nil) = skaf53(X0),
inference(resolution,[status(thm)],[f273,f241]) ).
fof(f1076,plain,
! [X0] : app(skaf56(X0),nil) = skaf56(X0),
inference(resolution,[status(thm)],[f273,f238]) ).
fof(f1077,plain,
! [X0] : app(skaf57(X0),nil) = skaf57(X0),
inference(resolution,[status(thm)],[f273,f237]) ).
fof(f1078,plain,
! [X0] : app(skaf58(X0),nil) = skaf58(X0),
inference(resolution,[status(thm)],[f273,f236]) ).
fof(f1079,plain,
! [X0] : app(skaf61(X0),nil) = skaf61(X0),
inference(resolution,[status(thm)],[f273,f233]) ).
fof(f1080,plain,
! [X0] : app(skaf62(X0),nil) = skaf62(X0),
inference(resolution,[status(thm)],[f273,f232]) ).
fof(f1081,plain,
! [X0] : app(skaf63(X0),nil) = skaf63(X0),
inference(resolution,[status(thm)],[f273,f231]) ).
fof(f1082,plain,
app(sk2,nil) = sk2,
inference(resolution,[status(thm)],[f273,f431]) ).
fof(f1083,plain,
! [X0] : app(skaf66(X0),nil) = skaf66(X0),
inference(resolution,[status(thm)],[f273,f228]) ).
fof(f1084,plain,
! [X0] : app(skaf67(X0),nil) = skaf67(X0),
inference(resolution,[status(thm)],[f273,f227]) ).
fof(f1085,plain,
! [X0] : app(skaf68(X0),nil) = skaf68(X0),
inference(resolution,[status(thm)],[f273,f226]) ).
fof(f1086,plain,
! [X0] : app(skaf71(X0),nil) = skaf71(X0),
inference(resolution,[status(thm)],[f273,f223]) ).
fof(f1087,plain,
! [X0] : app(skaf72(X0),nil) = skaf72(X0),
inference(resolution,[status(thm)],[f273,f222]) ).
fof(f1088,plain,
! [X0] : app(skaf73(X0),nil) = skaf73(X0),
inference(resolution,[status(thm)],[f273,f221]) ).
fof(f1089,plain,
! [X0] : app(skaf75(X0),nil) = skaf75(X0),
inference(resolution,[status(thm)],[f273,f219]) ).
fof(f1090,plain,
! [X0] : app(skaf76(X0),nil) = skaf76(X0),
inference(resolution,[status(thm)],[f273,f218]) ).
fof(f1091,plain,
! [X0] : app(skaf77(X0),nil) = skaf77(X0),
inference(resolution,[status(thm)],[f273,f217]) ).
fof(f1092,plain,
! [X0] : app(skaf80(X0),nil) = skaf80(X0),
inference(resolution,[status(thm)],[f273,f214]) ).
fof(f1093,plain,
! [X0] : app(skaf81(X0),nil) = skaf81(X0),
inference(resolution,[status(thm)],[f273,f213]) ).
fof(f1094,plain,
! [X0] : app(skaf82(X0),nil) = skaf82(X0),
inference(resolution,[status(thm)],[f273,f212]) ).
fof(f1095,plain,
app(nil,nil) = nil,
inference(resolution,[status(thm)],[f273,f207]) ).
fof(f1096,plain,
( frontsegP(app(sk3,nil),sk3)
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1074,f498]) ).
fof(f1097,plain,
! [X0] :
( frontsegP(sk3,X0)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ frontsegP(sk3,X0) ),
inference(paramodulation,[status(thm)],[f1074,f351]) ).
fof(f1098,plain,
! [X0] :
( segmentP(app(app(sk3,nil),X0),nil)
| ~ ssList(app(sk3,X0))
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1074,f501]) ).
fof(f1099,plain,
! [X0,X1] :
( segmentP(app(sk3,X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1074,f404]) ).
fof(f1100,definition,
( sQ75_spl
<=> frontsegP(app(sk3,nil),sk3) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1101,plain,
( ~ sQ75_spl
| frontsegP(app(sk3,nil),sk3) ),
inference(component_clause,[status(thm)],[f1100]) ).
fof(f1103,plain,
( sQ75_spl
| ~ sQ13_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1096,f522,f559,f1100]) ).
fof(f1104,definition,
! [X0] :
( sQ76_spl
<=> ( frontsegP(sk3,X0)
| ~ ssList(X0)
| ~ frontsegP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1107,plain,
( ~ sQ13_spl
| ~ sQ10_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f1097,f1104,f522,f559]) ).
fof(f1108,definition,
! [X0] :
( sQ77_spl
<=> ( segmentP(app(app(sk3,nil),X0),nil)
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f1111,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f1098,f1108,f559,f522]) ).
fof(f1112,definition,
! [X0,X1] :
( sQ78_spl
<=> ( segmentP(app(sk3,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f1113,plain,
! [X0,X1] :
( ~ sQ78_spl
| segmentP(app(sk3,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(component_clause,[status(thm)],[f1112]) ).
fof(f1115,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f1099,f1112,f559,f522]) ).
fof(f1116,plain,
( ~ sQ75_spl
| frontsegP(sk3,sk3) ),
inference(forward_demodulation,[status(thm)],[f1074,f1101]) ).
fof(f1118,plain,
( frontsegP(app(sk2,nil),sk2)
| ~ ssList(sk2)
| ~ ssList(sk2)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1082,f498]) ).
fof(f1119,plain,
! [X0] :
( frontsegP(sk2,X0)
| ~ ssList(sk2)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ frontsegP(sk2,X0) ),
inference(paramodulation,[status(thm)],[f1082,f351]) ).
fof(f1120,plain,
! [X0] :
( segmentP(app(app(sk2,nil),X0),nil)
| ~ ssList(app(sk2,X0))
| ~ ssList(nil)
| ~ ssList(sk2)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1082,f501]) ).
fof(f1121,plain,
! [X0,X1] :
( segmentP(app(sk2,X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sk2)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1082,f404]) ).
fof(f1122,definition,
( sQ79_spl
<=> frontsegP(app(sk2,nil),sk2) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1123,plain,
( ~ sQ79_spl
| frontsegP(app(sk2,nil),sk2) ),
inference(component_clause,[status(thm)],[f1122]) ).
fof(f1125,plain,
( sQ79_spl
| ~ sQ17_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1118,f522,f599,f1122]) ).
fof(f1126,definition,
! [X0] :
( sQ80_spl
<=> ( frontsegP(sk2,X0)
| ~ ssList(X0)
| ~ frontsegP(sk2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f1129,plain,
( ~ sQ17_spl
| ~ sQ10_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f1119,f1126,f522,f599]) ).
fof(f1130,definition,
! [X0] :
( sQ81_spl
<=> ( segmentP(app(app(sk2,nil),X0),nil)
| ~ ssList(app(sk2,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1133,plain,
( ~ sQ10_spl
| ~ sQ17_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f1120,f1130,f599,f522]) ).
fof(f1134,definition,
! [X0,X1] :
( sQ82_spl
<=> ( segmentP(app(sk2,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1135,plain,
! [X0,X1] :
( ~ sQ82_spl
| segmentP(app(sk2,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(component_clause,[status(thm)],[f1134]) ).
fof(f1137,plain,
( ~ sQ10_spl
| ~ sQ17_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f1121,f1134,f599,f522]) ).
fof(f1138,plain,
( ~ sQ79_spl
| frontsegP(sk2,sk2) ),
inference(forward_demodulation,[status(thm)],[f1082,f1123]) ).
fof(f1141,plain,
( ~ sQ75_spl
| sk3 = sk3
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ frontsegP(sk3,sk3) ),
inference(resolution,[status(thm)],[f1116,f341]) ).
fof(f1142,plain,
! [X0] :
( ~ sQ75_spl
| frontsegP(X0,sk3)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ frontsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f1116,f378]) ).
fof(f1144,definition,
( sQ83_spl
<=> frontsegP(sk3,sk3) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1146,plain,
( sQ83_spl
| ~ frontsegP(sk3,sk3) ),
inference(component_clause,[status(thm)],[f1144]) ).
fof(f1147,definition,
( sQ84_spl
<=> sk3 = sk3 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f1150,plain,
( ~ sQ75_spl
| sQ84_spl
| ~ sQ13_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f1141,f1144,f559,f1147,f1100]) ).
fof(f1151,definition,
! [X0] :
( sQ85_spl
<=> ( frontsegP(X0,sk3)
| ~ ssList(X0)
| ~ frontsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1154,plain,
( ~ sQ75_spl
| ~ sQ13_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f1142,f1151,f559,f1100]) ).
fof(f1155,plain,
( sQ83_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1146,f1116]) ).
fof(f1156,plain,
( sQ83_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f1155]) ).
fof(f1159,plain,
( ~ sQ79_spl
| sk2 = sk2
| ~ ssList(sk2)
| ~ ssList(sk2)
| ~ frontsegP(sk2,sk2) ),
inference(resolution,[status(thm)],[f1138,f341]) ).
fof(f1160,plain,
! [X0] :
( ~ sQ79_spl
| frontsegP(X0,sk2)
| ~ ssList(X0)
| ~ ssList(sk2)
| ~ ssList(sk2)
| ~ frontsegP(X0,sk2) ),
inference(resolution,[status(thm)],[f1138,f378]) ).
fof(f1163,plain,
( ~ sQ79_spl
| sQ26_spl
| ~ sQ17_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1159,f661,f599,f664,f1122]) ).
fof(f1164,definition,
! [X0] :
( sQ86_spl
<=> ( frontsegP(X0,sk2)
| ~ ssList(X0)
| ~ frontsegP(X0,sk2) ) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1167,plain,
( ~ sQ79_spl
| ~ sQ17_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f1160,f1164,f599,f1122]) ).
fof(f1168,plain,
! [X0,X1] :
( ~ sQ37_spl
| ~ ssList(nil)
| ~ segmentP(nil,X1)
| segmentP(X0,X1)
| ~ ssList(X0)
| ~ ssList(sk2)
| ~ ssList(X1)
| ~ segmentP(X0,sk2) ),
inference(resolution,[status(thm)],[f620,f733]) ).
fof(f1170,plain,
! [X0,X1] :
( ~ sQ27_spl
| ~ ssList(sk2)
| ~ segmentP(sk2,X1)
| segmentP(X0,X1)
| ~ ssList(X0)
| ~ ssList(sk2)
| ~ ssList(X1)
| ~ segmentP(X0,sk2) ),
inference(resolution,[status(thm)],[f620,f672]) ).
fof(f1172,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ ssList(nil)
| ~ segmentP(nil,X1)
| segmentP(X0,X1)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ segmentP(X0,nil) ),
inference(resolution,[status(thm)],[f620,f547]) ).
fof(f1175,plain,
! [X0] :
( ~ ssList(nil)
| ~ ssList(nil)
| segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ segmentP(X0,nil) ),
inference(resolution,[status(thm)],[f620,f255]) ).
fof(f1176,plain,
! [X0,X1,X2] :
( ~ ssList(X1)
| ~ ssList(nil)
| ~ segmentP(nil,X2)
| segmentP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X0,X1) ),
inference(resolution,[status(thm)],[f620,f255]) ).
fof(f1181,plain,
! [X0,X1] :
( ~ sQ37_spl
| ~ ssList(sk2)
| ~ segmentP(X1,sk2)
| segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ segmentP(X0,X1) ),
inference(resolution,[status(thm)],[f620,f733]) ).
fof(f1182,plain,
! [X0,X1] :
( ~ sQ27_spl
| ~ ssList(sk2)
| ~ segmentP(X1,sk2)
| segmentP(X0,sk2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk2)
| ~ segmentP(X0,X1) ),
inference(resolution,[status(thm)],[f620,f672]) ).
fof(f1183,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ ssList(nil)
| ~ segmentP(X1,nil)
| segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ segmentP(X0,X1) ),
inference(resolution,[status(thm)],[f620,f547]) ).
fof(f1185,plain,
! [X0,X1,X2] :
( ~ ssList(X2)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ segmentP(X0,X1) ),
inference(resolution,[status(thm)],[f620,f255]) ).
fof(f1188,definition,
! [X0,X1] :
( sQ87_spl
<=> ( ~ segmentP(nil,X1)
| segmentP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,sk2) ) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1191,plain,
( ~ sQ37_spl
| ~ sQ10_spl
| ~ sQ17_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f1168,f1188,f599,f522,f732]) ).
fof(f1193,definition,
! [X0,X1] :
( sQ88_spl
<=> ( ~ segmentP(sk2,X1)
| segmentP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,sk2) ) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1194,plain,
! [X0,X1] :
( ~ sQ88_spl
| ~ segmentP(sk2,X1)
| segmentP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,sk2) ),
inference(component_clause,[status(thm)],[f1193]) ).
fof(f1196,plain,
( ~ sQ27_spl
| ~ sQ17_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f1170,f1193,f599,f671]) ).
fof(f1198,definition,
! [X0,X1] :
( sQ89_spl
<=> ( ~ segmentP(nil,X1)
| segmentP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1199,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ segmentP(nil,X1)
| segmentP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,nil) ),
inference(component_clause,[status(thm)],[f1198]) ).
fof(f1201,plain,
( ~ sQ12_spl
| ~ sQ10_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f1172,f1198,f522,f546]) ).
fof(f1203,plain,
( ~ sQ10_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f1175,f790,f522]) ).
fof(f1204,definition,
! [X0,X1,X2] :
( sQ90_spl
<=> ( ~ ssList(X1)
| ~ segmentP(nil,X2)
| segmentP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1207,plain,
( ~ sQ10_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f1176,f1204,f522]) ).
fof(f1210,definition,
! [X0,X1] :
( sQ91_spl
<=> ( ~ segmentP(X1,sk2)
| segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1213,plain,
( ~ sQ37_spl
| ~ sQ17_spl
| ~ sQ10_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f1181,f1210,f522,f599,f732]) ).
fof(f1214,definition,
! [X0,X1] :
( sQ92_spl
<=> ( ~ segmentP(X1,sk2)
| segmentP(X0,sk2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1215,plain,
! [X0,X1] :
( ~ sQ92_spl
| ~ segmentP(X1,sk2)
| segmentP(X0,sk2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1) ),
inference(component_clause,[status(thm)],[f1214]) ).
fof(f1217,plain,
( ~ sQ27_spl
| ~ sQ17_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f1182,f1214,f599,f671]) ).
fof(f1218,definition,
! [X0,X1] :
( sQ93_spl
<=> ( ~ segmentP(X1,nil)
| segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1221,plain,
( ~ sQ12_spl
| ~ sQ10_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f1183,f1218,f522,f546]) ).
fof(f1223,definition,
! [X0,X1,X2] :
( sQ94_spl
<=> ( ~ ssList(X2)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1226,plain,
( ~ sQ10_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f1185,f1223,f522]) ).
fof(f1229,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ segmentP(nil,X0)
| segmentP(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1199,f255]) ).
fof(f1232,plain,
( frontsegP(app(nil,nil),nil)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1095,f498]) ).
fof(f1233,plain,
! [X0] :
( frontsegP(nil,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ frontsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1095,f351]) ).
fof(f1234,plain,
! [X0] :
( segmentP(app(app(nil,nil),X0),nil)
| ~ ssList(app(nil,X0))
| ~ ssList(nil)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1095,f501]) ).
fof(f1235,plain,
! [X0,X1] :
( segmentP(app(nil,X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1095,f404]) ).
fof(f1236,definition,
( sQ95_spl
<=> frontsegP(app(nil,nil),nil) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1237,plain,
( ~ sQ95_spl
| frontsegP(app(nil,nil),nil) ),
inference(component_clause,[status(thm)],[f1236]) ).
fof(f1239,plain,
( sQ95_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1232,f522,f1236]) ).
fof(f1240,definition,
! [X0] :
( sQ96_spl
<=> ( frontsegP(nil,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1243,plain,
( ~ sQ10_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f1233,f1240,f522]) ).
fof(f1244,definition,
! [X0] :
( sQ97_spl
<=> ( segmentP(app(app(nil,nil),X0),nil)
| ~ ssList(app(nil,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1247,plain,
( ~ sQ10_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f1234,f1244,f522]) ).
fof(f1248,definition,
! [X0,X1] :
( sQ98_spl
<=> ( segmentP(app(nil,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1249,plain,
! [X0,X1] :
( ~ sQ98_spl
| segmentP(app(nil,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(component_clause,[status(thm)],[f1248]) ).
fof(f1251,plain,
( ~ sQ10_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f1235,f1248,f522]) ).
fof(f1252,plain,
( ~ sQ95_spl
| frontsegP(nil,nil) ),
inference(forward_demodulation,[status(thm)],[f1095,f1237]) ).
fof(f1260,plain,
! [X0] : app(nil,skaf51(X0)) = skaf51(X0),
inference(resolution,[status(thm)],[f274,f243]) ).
fof(f1262,plain,
app(nil,sk3) = sk3,
inference(resolution,[status(thm)],[f274,f432]) ).
fof(f1270,plain,
app(nil,sk2) = sk2,
inference(resolution,[status(thm)],[f274,f431]) ).
fof(f1287,plain,
( frontsegP(app(nil,sk3),nil)
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ ssList(sk3) ),
inference(paramodulation,[status(thm)],[f1262,f498]) ).
fof(f1288,plain,
! [X0] :
( frontsegP(sk3,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ frontsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1262,f351]) ).
fof(f1289,plain,
! [X0] :
( segmentP(app(app(nil,sk3),X0),sk3)
| ~ ssList(app(sk3,X0))
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1262,f501]) ).
fof(f1290,plain,
! [X0,X1] :
( segmentP(app(sk3,X1),X0)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ segmentP(sk3,X0) ),
inference(paramodulation,[status(thm)],[f1262,f404]) ).
fof(f1291,definition,
( sQ99_spl
<=> frontsegP(app(nil,sk3),nil) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1292,plain,
( ~ sQ99_spl
| frontsegP(app(nil,sk3),nil) ),
inference(component_clause,[status(thm)],[f1291]) ).
fof(f1294,plain,
( sQ99_spl
| ~ sQ10_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1287,f559,f522,f1291]) ).
fof(f1295,definition,
! [X0] :
( sQ100_spl
<=> ( frontsegP(sk3,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1296,plain,
! [X0] :
( ~ sQ100_spl
| frontsegP(sk3,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f1295]) ).
fof(f1298,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f1288,f1295,f559,f522]) ).
fof(f1299,definition,
! [X0] :
( sQ101_spl
<=> ( segmentP(app(app(nil,sk3),X0),sk3)
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1300,plain,
! [X0] :
( ~ sQ101_spl
| segmentP(app(app(nil,sk3),X0),sk3)
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f1299]) ).
fof(f1302,plain,
( ~ sQ13_spl
| ~ sQ10_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f1289,f1299,f522,f559]) ).
fof(f1303,definition,
! [X0,X1] :
( sQ102_spl
<=> ( segmentP(app(sk3,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1304,plain,
! [X0,X1] :
( ~ sQ102_spl
| segmentP(app(sk3,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk3,X0) ),
inference(component_clause,[status(thm)],[f1303]) ).
fof(f1306,plain,
( ~ sQ13_spl
| ~ sQ10_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f1290,f1303,f522,f559]) ).
fof(f1307,plain,
( ~ sQ99_spl
| frontsegP(sk3,nil) ),
inference(forward_demodulation,[status(thm)],[f1262,f1292]) ).
fof(f1308,plain,
! [X0] :
( ~ sQ101_spl
| segmentP(app(sk3,X0),sk3)
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f1262,f1300]) ).
fof(f1309,plain,
( frontsegP(app(nil,sk2),nil)
| ~ ssList(sk2)
| ~ ssList(nil)
| ~ ssList(sk2) ),
inference(paramodulation,[status(thm)],[f1270,f498]) ).
fof(f1310,plain,
! [X0] :
( frontsegP(sk2,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sk2)
| ~ frontsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1270,f351]) ).
fof(f1311,plain,
! [X0] :
( segmentP(app(app(nil,sk2),X0),sk2)
| ~ ssList(app(sk2,X0))
| ~ ssList(sk2)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f1270,f501]) ).
fof(f1312,plain,
! [X0,X1] :
( segmentP(app(sk2,X1),X0)
| ~ ssList(sk2)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ segmentP(sk2,X0) ),
inference(paramodulation,[status(thm)],[f1270,f404]) ).
fof(f1313,definition,
( sQ103_spl
<=> frontsegP(app(nil,sk2),nil) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1314,plain,
( ~ sQ103_spl
| frontsegP(app(nil,sk2),nil) ),
inference(component_clause,[status(thm)],[f1313]) ).
fof(f1316,plain,
( sQ103_spl
| ~ sQ10_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1309,f599,f522,f1313]) ).
fof(f1317,definition,
! [X0] :
( sQ104_spl
<=> ( frontsegP(sk2,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1318,plain,
! [X0] :
( ~ sQ104_spl
| frontsegP(sk2,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(component_clause,[status(thm)],[f1317]) ).
fof(f1320,plain,
( ~ sQ10_spl
| ~ sQ17_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f1310,f1317,f599,f522]) ).
fof(f1321,definition,
! [X0] :
( sQ105_spl
<=> ( segmentP(app(app(nil,sk2),X0),sk2)
| ~ ssList(app(sk2,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1324,plain,
( ~ sQ17_spl
| ~ sQ10_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f1311,f1321,f522,f599]) ).
fof(f1325,definition,
! [X0,X1] :
( sQ106_spl
<=> ( segmentP(app(sk2,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1328,plain,
( ~ sQ17_spl
| ~ sQ10_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f1312,f1325,f522,f599]) ).
fof(f1329,plain,
( ~ sQ103_spl
| frontsegP(sk2,nil) ),
inference(forward_demodulation,[status(thm)],[f1270,f1314]) ).
fof(f1339,definition,
( sQ107_spl
<=> frontsegP(nil,nil) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1343,definition,
! [X0] :
( sQ108_spl
<=> ( frontsegP(X0,nil)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1349,plain,
! [X0] :
( ~ sQ99_spl
| frontsegP(X0,nil)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ frontsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f1307,f378]) ).
fof(f1355,definition,
! [X0] :
( sQ110_spl
<=> ( frontsegP(X0,nil)
| ~ ssList(X0)
| ~ frontsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1358,plain,
( ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ10_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f1349,f1355,f522,f559,f1291]) ).
fof(f1359,plain,
! [X0] :
( ~ sQ37_spl
| X0 = nil
| ~ segmentP(nil,X0)
| ~ ssList(X0)
| ~ ssList(sk2)
| ~ ssList(nil)
| ~ segmentP(X0,sk2) ),
inference(resolution,[status(thm)],[f626,f733]) ).
fof(f1361,plain,
! [X0] :
( ~ sQ27_spl
| X0 = sk2
| ~ segmentP(sk2,X0)
| ~ ssList(X0)
| ~ ssList(sk2)
| ~ ssList(sk2)
| ~ segmentP(X0,sk2) ),
inference(resolution,[status(thm)],[f626,f672]) ).
fof(f1363,plain,
! [X0] :
( ~ sQ12_spl
| X0 = nil
| ~ segmentP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ segmentP(X0,nil) ),
inference(resolution,[status(thm)],[f626,f547]) ).
fof(f1367,plain,
! [X0,X1] :
( ~ ssList(X1)
| X0 = nil
| ~ segmentP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ segmentP(X0,X1) ),
inference(resolution,[status(thm)],[f626,f255]) ).
fof(f1379,definition,
! [X0] :
( sQ111_spl
<=> ( X0 = nil
| ~ segmentP(nil,X0)
| ~ ssList(X0)
| ~ segmentP(X0,sk2) ) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1382,plain,
( ~ sQ37_spl
| ~ sQ17_spl
| ~ sQ10_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f1359,f1379,f522,f599,f732]) ).
fof(f1384,definition,
! [X0] :
( sQ112_spl
<=> ( X0 = sk2
| ~ segmentP(sk2,X0)
| ~ ssList(X0)
| ~ segmentP(X0,sk2) ) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1385,plain,
! [X0] :
( ~ sQ112_spl
| X0 = sk2
| ~ segmentP(sk2,X0)
| ~ ssList(X0)
| ~ segmentP(X0,sk2) ),
inference(component_clause,[status(thm)],[f1384]) ).
fof(f1387,plain,
( ~ sQ27_spl
| ~ sQ17_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f1361,f1384,f599,f671]) ).
fof(f1389,definition,
! [X0] :
( sQ113_spl
<=> ( X0 = nil
| ~ segmentP(nil,X0)
| ~ ssList(X0)
| ~ segmentP(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1392,plain,
( ~ sQ12_spl
| ~ sQ10_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f1363,f1389,f522,f546]) ).
fof(f1395,definition,
! [X0,X1] :
( sQ114_spl
<=> ( ~ ssList(X1)
| X0 = nil
| ~ segmentP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1398,plain,
( ~ sQ10_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f1367,f1395,f522]) ).
fof(f1409,plain,
! [X0] :
( ~ sQ95_spl
| X0 = nil
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ frontsegP(X0,nil) ),
inference(resolution,[status(thm)],[f635,f1252]) ).
fof(f1410,plain,
! [X0] :
( ~ sQ99_spl
| X0 = nil
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ frontsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f635,f1307]) ).
fof(f1412,plain,
! [X0] :
( ~ sQ75_spl
| X0 = sk3
| ~ frontsegP(sk3,X0)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ frontsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f635,f1116]) ).
fof(f1418,plain,
! [X0] :
( ~ sQ79_spl
| X0 = sk2
| ~ frontsegP(sk2,X0)
| ~ ssList(X0)
| ~ ssList(sk2)
| ~ ssList(sk2)
| ~ frontsegP(X0,sk2) ),
inference(resolution,[status(thm)],[f635,f1138]) ).
fof(f1421,plain,
! [X0,X1] :
( ~ ssList(X1)
| X0 = nil
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f635,f259]) ).
fof(f1437,definition,
! [X0] :
( sQ115_spl
<=> ( X0 = nil
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1440,plain,
( ~ sQ95_spl
| ~ sQ10_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f1409,f1437,f522,f1236]) ).
fof(f1441,definition,
! [X0] :
( sQ116_spl
<=> ( X0 = nil
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ frontsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1444,plain,
( ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ10_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f1410,f1441,f522,f559,f1291]) ).
fof(f1446,definition,
! [X0] :
( sQ117_spl
<=> ( X0 = sk3
| ~ frontsegP(sk3,X0)
| ~ ssList(X0)
| ~ frontsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1447,plain,
! [X0] :
( ~ sQ117_spl
| X0 = sk3
| ~ frontsegP(sk3,X0)
| ~ ssList(X0)
| ~ frontsegP(X0,sk3) ),
inference(component_clause,[status(thm)],[f1446]) ).
fof(f1449,plain,
( ~ sQ75_spl
| ~ sQ13_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f1412,f1446,f559,f1100]) ).
fof(f1452,definition,
! [X0] :
( sQ118_spl
<=> ( X0 = sk2
| ~ frontsegP(sk2,X0)
| ~ ssList(X0)
| ~ frontsegP(X0,sk2) ) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1453,plain,
! [X0] :
( ~ sQ118_spl
| X0 = sk2
| ~ frontsegP(sk2,X0)
| ~ ssList(X0)
| ~ frontsegP(X0,sk2) ),
inference(component_clause,[status(thm)],[f1452]) ).
fof(f1455,plain,
( ~ sQ79_spl
| ~ sQ17_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f1418,f1452,f599,f1122]) ).
fof(f1461,definition,
! [X0,X1] :
( sQ120_spl
<=> ( ~ ssList(X1)
| X0 = nil
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1464,plain,
( ~ sQ10_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f1421,f1461,f522]) ).
fof(f1489,plain,
! [X0] :
( ~ sQ103_spl
| X0 = nil
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(sk2)
| ~ ssList(nil)
| ~ frontsegP(X0,sk2) ),
inference(resolution,[status(thm)],[f1329,f635]) ).
fof(f1491,plain,
! [X0] :
( ~ sQ103_spl
| frontsegP(X0,nil)
| ~ ssList(X0)
| ~ ssList(sk2)
| ~ ssList(nil)
| ~ frontsegP(X0,sk2) ),
inference(resolution,[status(thm)],[f1329,f378]) ).
fof(f1493,definition,
! [X0] :
( sQ125_spl
<=> ( X0 = nil
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ frontsegP(X0,sk2) ) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1496,plain,
( ~ sQ103_spl
| ~ sQ17_spl
| ~ sQ10_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f1489,f1493,f522,f599,f1313]) ).
fof(f1498,definition,
! [X0] :
( sQ126_spl
<=> ( frontsegP(X0,nil)
| ~ ssList(X0)
| ~ frontsegP(X0,sk2) ) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1501,plain,
( ~ sQ103_spl
| ~ sQ17_spl
| ~ sQ10_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f1491,f1498,f522,f599,f1313]) ).
fof(f1509,plain,
( ~ sQ100_spl
| ~ ssList(nil)
| frontsegP(sk3,nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f1296,f259]) ).
fof(f1510,plain,
! [X0,X1] :
( ~ sQ100_spl
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(nil,X1)
| frontsegP(sk3,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1296,f378]) ).
fof(f1512,definition,
( sQ127_spl
<=> frontsegP(sk3,nil) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1516,plain,
( ~ sQ100_spl
| sQ127_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1509,f522,f1512,f1295]) ).
fof(f1517,definition,
! [X0,X1] :
( sQ128_spl
<=> ( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(nil,X1)
| frontsegP(sk3,X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1520,plain,
( ~ sQ100_spl
| ~ sQ10_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f1510,f1517,f522,f1295]) ).
fof(f1542,plain,
( ~ sQ104_spl
| ~ ssList(nil)
| frontsegP(sk2,nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f1318,f259]) ).
fof(f1543,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(nil,X1)
| frontsegP(sk2,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1318,f378]) ).
fof(f1545,definition,
( sQ132_spl
<=> frontsegP(sk2,nil) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1549,plain,
( ~ sQ104_spl
| sQ132_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1542,f522,f1545,f1317]) ).
fof(f1550,definition,
! [X0,X1] :
( sQ133_spl
<=> ( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(nil,X1)
| frontsegP(sk2,X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1553,plain,
( ~ sQ104_spl
| ~ sQ10_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f1543,f1550,f522,f1317]) ).
fof(f1568,plain,
! [X0,X1,X2] :
( segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(sk2,X1))
| ~ segmentP(X2,app(app(nil,sk2),X1))
| ~ ssList(sk2)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ segmentP(sk2,X0) ),
inference(paramodulation,[status(thm)],[f1270,f658]) ).
fof(f1569,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)],[f1262,f658]) ).
fof(f1570,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)],[f1095,f658]) ).
fof(f1571,plain,
! [X0,X1,X2] :
( segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(sk2,X1))
| ~ segmentP(X2,app(app(sk2,nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sk2)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1082,f658]) ).
fof(f1572,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)],[f1074,f658]) ).
fof(f1573,definition,
! [X0,X1,X2] :
( sQ135_spl
<=> ( segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(sk2,X1))
| ~ segmentP(X2,app(app(nil,sk2),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1576,plain,
( ~ sQ17_spl
| ~ sQ10_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f1568,f1573,f522,f599]) ).
fof(f1577,definition,
! [X0,X1,X2] :
( sQ136_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,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1580,plain,
( ~ sQ13_spl
| ~ sQ10_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1569,f1577,f522,f559]) ).
fof(f1581,definition,
! [X0,X1,X2] :
( sQ137_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,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1584,plain,
( ~ sQ10_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f1570,f1581,f522]) ).
fof(f1585,definition,
! [X0,X1,X2] :
( sQ138_spl
<=> ( segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(app(sk2,X1))
| ~ segmentP(X2,app(app(sk2,nil),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1588,plain,
( ~ sQ10_spl
| ~ sQ17_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f1571,f1585,f599,f522]) ).
fof(f1589,definition,
! [X0,X1,X2] :
( sQ139_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,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1592,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f1572,f1589,f559,f522]) ).
fof(f1598,plain,
! [X0,X1] :
( app(app(nil,sk2),X1) = X0
| ~ ssList(app(sk2,X1))
| ~ segmentP(X0,app(app(nil,sk2),X1))
| ~ ssList(sk2)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ segmentP(sk2,X0) ),
inference(paramodulation,[status(thm)],[f1270,f659]) ).
fof(f1599,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)],[f1262,f659]) ).
fof(f1600,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)],[f1095,f659]) ).
fof(f1601,plain,
! [X0,X1] :
( app(app(sk2,nil),X1) = X0
| ~ ssList(app(sk2,X1))
| ~ segmentP(X0,app(app(sk2,nil),X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sk2)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1082,f659]) ).
fof(f1602,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)],[f1074,f659]) ).
fof(f1603,definition,
! [X0,X1] :
( sQ140_spl
<=> ( app(app(nil,sk2),X1) = X0
| ~ ssList(app(sk2,X1))
| ~ segmentP(X0,app(app(nil,sk2),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(sk2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1606,plain,
( ~ sQ17_spl
| ~ sQ10_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1598,f1603,f522,f599]) ).
fof(f1607,definition,
! [X0,X1] :
( sQ141_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,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1610,plain,
( ~ sQ13_spl
| ~ sQ10_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f1599,f1607,f522,f559]) ).
fof(f1611,definition,
! [X0,X1] :
( sQ142_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,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1614,plain,
( ~ sQ10_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f1600,f1611,f522]) ).
fof(f1615,definition,
! [X0,X1] :
( sQ143_spl
<=> ( app(app(sk2,nil),X1) = X0
| ~ ssList(app(sk2,X1))
| ~ segmentP(X0,app(app(sk2,nil),X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1618,plain,
( ~ sQ10_spl
| ~ sQ17_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f1601,f1615,f599,f522]) ).
fof(f1619,definition,
! [X0,X1] :
( sQ144_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,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1622,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1602,f1619,f559,f522]) ).
fof(f1633,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)],[f1072,f659]) ).
fof(f1634,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)],[f1072,f658]) ).
fof(f1635,plain,
! [X0] :
( frontsegP(app(skaf51(X0),nil),skaf51(X0))
| ~ ssList(skaf51(X0))
| ~ ssList(skaf51(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1072,f498]) ).
fof(f1636,plain,
! [X0,X1] :
( frontsegP(skaf51(X0),X1)
| ~ ssList(skaf51(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf51(X0),X1) ),
inference(paramodulation,[status(thm)],[f1072,f351]) ).
fof(f1637,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)],[f1072,f501]) ).
fof(f1638,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)],[f1072,f404]) ).
fof(f1639,definition,
! [X0,X1,X2] :
( sQ145_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,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1642,plain,
( ~ sQ10_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f1633,f1639,f522]) ).
fof(f1643,definition,
! [X0,X1,X2,X3] :
( sQ146_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,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1646,plain,
( ~ sQ10_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f1634,f1643,f522]) ).
fof(f1647,definition,
! [X0] :
( sQ147_spl
<=> ( frontsegP(app(skaf51(X0),nil),skaf51(X0))
| ~ ssList(skaf51(X0))
| ~ ssList(skaf51(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1650,plain,
( sQ147_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1635,f522,f1647]) ).
fof(f1651,definition,
! [X0,X1] :
( sQ148_spl
<=> ( frontsegP(skaf51(X0),X1)
| ~ ssList(skaf51(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf51(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1654,plain,
( ~ sQ10_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f1636,f1651,f522]) ).
fof(f1655,definition,
! [X0,X1] :
( sQ149_spl
<=> ( segmentP(app(app(skaf51(X1),nil),X0),nil)
| ~ ssList(app(skaf51(X1),X0))
| ~ ssList(skaf51(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1658,plain,
( ~ sQ10_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f1637,f1655,f522]) ).
fof(f1659,definition,
! [X0,X1,X2] :
( sQ150_spl
<=> ( segmentP(app(skaf51(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf51(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1662,plain,
( ~ sQ10_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f1638,f1659,f522]) ).
fof(f1672,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)],[f1073,f659]) ).
fof(f1673,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)],[f1073,f658]) ).
fof(f1674,plain,
! [X0] :
( frontsegP(app(skaf52(X0),nil),skaf52(X0))
| ~ ssList(skaf52(X0))
| ~ ssList(skaf52(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1073,f498]) ).
fof(f1675,plain,
! [X0,X1] :
( frontsegP(skaf52(X0),X1)
| ~ ssList(skaf52(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf52(X0),X1) ),
inference(paramodulation,[status(thm)],[f1073,f351]) ).
fof(f1676,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)],[f1073,f501]) ).
fof(f1677,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)],[f1073,f404]) ).
fof(f1678,definition,
! [X0,X1,X2] :
( sQ151_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,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1681,plain,
( ~ sQ10_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f1672,f1678,f522]) ).
fof(f1682,definition,
! [X0,X1,X2,X3] :
( sQ152_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,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1685,plain,
( ~ sQ10_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1673,f1682,f522]) ).
fof(f1686,definition,
! [X0] :
( sQ153_spl
<=> ( frontsegP(app(skaf52(X0),nil),skaf52(X0))
| ~ ssList(skaf52(X0))
| ~ ssList(skaf52(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1689,plain,
( sQ153_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1674,f522,f1686]) ).
fof(f1690,definition,
! [X0,X1] :
( sQ154_spl
<=> ( frontsegP(skaf52(X0),X1)
| ~ ssList(skaf52(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf52(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1693,plain,
( ~ sQ10_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f1675,f1690,f522]) ).
fof(f1694,definition,
! [X0,X1] :
( sQ155_spl
<=> ( segmentP(app(app(skaf52(X1),nil),X0),nil)
| ~ ssList(app(skaf52(X1),X0))
| ~ ssList(skaf52(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1697,plain,
( ~ sQ10_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f1676,f1694,f522]) ).
fof(f1698,definition,
! [X0,X1,X2] :
( sQ156_spl
<=> ( segmentP(app(skaf52(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf52(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1701,plain,
( ~ sQ10_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f1677,f1698,f522]) ).
fof(f1711,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)],[f1075,f659]) ).
fof(f1712,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)],[f1075,f658]) ).
fof(f1713,plain,
! [X0] :
( frontsegP(app(skaf53(X0),nil),skaf53(X0))
| ~ ssList(skaf53(X0))
| ~ ssList(skaf53(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1075,f498]) ).
fof(f1714,plain,
! [X0,X1] :
( frontsegP(skaf53(X0),X1)
| ~ ssList(skaf53(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf53(X0),X1) ),
inference(paramodulation,[status(thm)],[f1075,f351]) ).
fof(f1715,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)],[f1075,f501]) ).
fof(f1716,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)],[f1075,f404]) ).
fof(f1717,definition,
! [X0,X1,X2] :
( sQ157_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,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1720,plain,
( ~ sQ10_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f1711,f1717,f522]) ).
fof(f1721,definition,
! [X0,X1,X2,X3] :
( sQ158_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,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1724,plain,
( ~ sQ10_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f1712,f1721,f522]) ).
fof(f1725,definition,
! [X0] :
( sQ159_spl
<=> ( frontsegP(app(skaf53(X0),nil),skaf53(X0))
| ~ ssList(skaf53(X0))
| ~ ssList(skaf53(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1728,plain,
( sQ159_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1713,f522,f1725]) ).
fof(f1729,definition,
! [X0,X1] :
( sQ160_spl
<=> ( frontsegP(skaf53(X0),X1)
| ~ ssList(skaf53(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf53(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1732,plain,
( ~ sQ10_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f1714,f1729,f522]) ).
fof(f1733,definition,
! [X0,X1] :
( sQ161_spl
<=> ( segmentP(app(app(skaf53(X1),nil),X0),nil)
| ~ ssList(app(skaf53(X1),X0))
| ~ ssList(skaf53(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1736,plain,
( ~ sQ10_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f1715,f1733,f522]) ).
fof(f1737,definition,
! [X0,X1,X2] :
( sQ162_spl
<=> ( segmentP(app(skaf53(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf53(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1740,plain,
( ~ sQ10_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f1716,f1737,f522]) ).
fof(f1751,plain,
! [X0,X1] :
( frontsegP(app(X1,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f498,f285]) ).
fof(f1757,plain,
! [X0] :
( ssList(skaf53(X0))
| ~ ssList(skaf53(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1075,f285]) ).
fof(f1758,plain,
! [X0] :
( ssList(skaf52(X0))
| ~ ssList(skaf52(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1073,f285]) ).
fof(f1759,plain,
! [X0] :
( ssList(skaf51(X0))
| ~ ssList(skaf51(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1072,f285]) ).
fof(f1771,definition,
! [X0] :
( sQ163_spl
<=> ( ssList(skaf53(X0))
| ~ ssList(skaf53(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1774,plain,
( sQ163_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1757,f522,f1771]) ).
fof(f1775,definition,
! [X0] :
( sQ164_spl
<=> ( ssList(skaf52(X0))
| ~ ssList(skaf52(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1778,plain,
( sQ164_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1758,f522,f1775]) ).
fof(f1779,definition,
! [X0] :
( sQ165_spl
<=> ( ssList(skaf51(X0))
| ~ ssList(skaf51(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1782,plain,
( sQ165_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1759,f522,f1779]) ).
fof(f1791,plain,
! [X0] :
( ~ sQ89_spl
| ~ ssList(nil)
| segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f1229,f255]) ).
fof(f1792,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ segmentP(X2,X0)
| ~ segmentP(nil,X2)
| segmentP(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1229,f374]) ).
fof(f1794,definition,
! [X0] :
( sQ166_spl
<=> ( segmentP(X0,nil)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1798,plain,
( ~ sQ89_spl
| sQ166_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1791,f522,f1794,f1198]) ).
fof(f1799,definition,
! [X0,X1,X2] :
( sQ167_spl
<=> ( ~ ssList(X2)
| ~ ssList(X0)
| ~ segmentP(X2,X0)
| ~ segmentP(nil,X2)
| segmentP(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1802,plain,
( ~ sQ89_spl
| ~ sQ10_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f1792,f1799,f522,f1198]) ).
fof(f1806,plain,
! [X0] :
( ~ sQ78_spl
| ~ ssList(nil)
| segmentP(app(sk3,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1113,f255]) ).
fof(f1807,plain,
! [X0,X1,X2] :
( ~ sQ78_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(X2,X1)
| ~ segmentP(nil,X2)
| segmentP(app(sk3,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1113,f374]) ).
fof(f1809,definition,
! [X0] :
( sQ168_spl
<=> ( segmentP(app(sk3,X0),nil)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1810,plain,
! [X0] :
( ~ sQ168_spl
| segmentP(app(sk3,X0),nil)
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f1809]) ).
fof(f1813,plain,
( ~ sQ78_spl
| ~ sQ10_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f1806,f1809,f522,f1112]) ).
fof(f1814,definition,
! [X0,X1,X2] :
( sQ169_spl
<=> ( ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(X2,X1)
| ~ segmentP(nil,X2)
| segmentP(app(sk3,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1817,plain,
( ~ sQ78_spl
| ~ sQ10_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f1807,f1814,f522,f1112]) ).
fof(f1820,plain,
! [X0,X1] :
( ~ sQ168_spl
| nil = app(sk3,X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(app(sk3,X0))
| ~ segmentP(X1,app(sk3,X0))
| ~ segmentP(nil,X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1810,f626]) ).
fof(f1821,plain,
! [X0,X1] :
( ~ sQ168_spl
| X1 = nil
| ~ segmentP(nil,X1)
| ~ ssList(X1)
| ~ ssList(app(sk3,X0))
| ~ ssList(nil)
| ~ segmentP(X1,app(sk3,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1810,f626]) ).
fof(f1822,plain,
! [X0,X1,X2] :
( ~ sQ168_spl
| ~ ssList(app(sk3,X0))
| ~ segmentP(X2,app(sk3,X0))
| segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(nil)
| ~ segmentP(X1,X2)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1810,f620]) ).
fof(f1823,plain,
! [X0,X1,X2] :
( ~ sQ168_spl
| ~ ssList(nil)
| ~ segmentP(nil,X2)
| segmentP(X1,X2)
| ~ ssList(X1)
| ~ ssList(app(sk3,X0))
| ~ ssList(X2)
| ~ segmentP(X1,app(sk3,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1810,f620]) ).
fof(f1824,plain,
! [X0,X1] :
( ~ sQ168_spl
| segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(app(sk3,X0))
| ~ ssList(nil)
| ~ segmentP(X1,app(sk3,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1810,f374]) ).
fof(f1825,plain,
! [X0] :
( ~ sQ168_spl
| app(sk3,X0) = nil
| ~ ssList(app(sk3,X0))
| ~ ssList(nil)
| ~ segmentP(nil,app(sk3,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1810,f339]) ).
fof(f1826,plain,
( ~ sQ168_spl
| segmentP(sk3,nil)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1074,f1810]) ).
fof(f1827,definition,
! [X0,X1] :
( sQ170_spl
<=> ( nil = app(sk3,X0)
| ~ ssList(X1)
| ~ ssList(app(sk3,X0))
| ~ segmentP(X1,app(sk3,X0))
| ~ segmentP(nil,X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1830,plain,
( ~ sQ168_spl
| ~ sQ10_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f1820,f1827,f522,f1809]) ).
fof(f1831,definition,
! [X0,X1] :
( sQ171_spl
<=> ( X1 = nil
| ~ segmentP(nil,X1)
| ~ ssList(X1)
| ~ ssList(app(sk3,X0))
| ~ segmentP(X1,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1834,plain,
( ~ sQ168_spl
| ~ sQ10_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f1821,f1831,f522,f1809]) ).
fof(f1835,definition,
! [X0,X1,X2] :
( sQ172_spl
<=> ( ~ ssList(app(sk3,X0))
| ~ segmentP(X2,app(sk3,X0))
| segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1838,plain,
( ~ sQ168_spl
| ~ sQ10_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f1822,f1835,f522,f1809]) ).
fof(f1839,definition,
! [X0,X1,X2] :
( sQ173_spl
<=> ( ~ segmentP(nil,X2)
| segmentP(X1,X2)
| ~ ssList(X1)
| ~ ssList(app(sk3,X0))
| ~ ssList(X2)
| ~ segmentP(X1,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1842,plain,
( ~ sQ168_spl
| ~ sQ10_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f1823,f1839,f522,f1809]) ).
fof(f1843,definition,
! [X0,X1] :
( sQ174_spl
<=> ( segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(app(sk3,X0))
| ~ segmentP(X1,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1846,plain,
( ~ sQ168_spl
| ~ sQ10_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1824,f1843,f522,f1809]) ).
fof(f1847,definition,
! [X0] :
( sQ175_spl
<=> ( app(sk3,X0) = nil
| ~ ssList(app(sk3,X0))
| ~ segmentP(nil,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1850,plain,
( ~ sQ168_spl
| ~ sQ10_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1825,f1847,f522,f1809]) ).
fof(f1851,definition,
( sQ176_spl
<=> segmentP(sk3,nil) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1852,plain,
( ~ sQ176_spl
| segmentP(sk3,nil) ),
inference(component_clause,[status(thm)],[f1851]) ).
fof(f1854,plain,
( ~ sQ168_spl
| sQ176_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1826,f522,f1851,f1809]) ).
fof(f1860,plain,
! [X0] :
( ~ sQ176_spl
| X0 = nil
| ~ segmentP(nil,X0)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ segmentP(X0,sk3) ),
inference(resolution,[status(thm)],[f1852,f626]) ).
fof(f1861,plain,
! [X0,X1] :
( ~ sQ176_spl
| ~ ssList(sk3)
| ~ segmentP(X1,sk3)
| segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ segmentP(X0,X1) ),
inference(resolution,[status(thm)],[f1852,f620]) ).
fof(f1862,plain,
! [X0,X1] :
( ~ sQ176_spl
| ~ ssList(nil)
| ~ segmentP(nil,X1)
| segmentP(X0,X1)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ segmentP(X0,sk3) ),
inference(resolution,[status(thm)],[f1852,f620]) ).
fof(f1863,plain,
! [X0] :
( ~ sQ176_spl
| segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ segmentP(X0,sk3) ),
inference(resolution,[status(thm)],[f1852,f374]) ).
fof(f1873,definition,
! [X0] :
( sQ178_spl
<=> ( X0 = nil
| ~ segmentP(nil,X0)
| ~ ssList(X0)
| ~ segmentP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1876,plain,
( ~ sQ176_spl
| ~ sQ13_spl
| ~ sQ10_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f1860,f1873,f522,f559,f1851]) ).
fof(f1877,definition,
! [X0,X1] :
( sQ179_spl
<=> ( ~ segmentP(X1,sk3)
| segmentP(X0,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1880,plain,
( ~ sQ176_spl
| ~ sQ13_spl
| ~ sQ10_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f1861,f1877,f522,f559,f1851]) ).
fof(f1881,definition,
! [X0,X1] :
( sQ180_spl
<=> ( ~ segmentP(nil,X1)
| segmentP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1884,plain,
( ~ sQ176_spl
| ~ sQ10_spl
| ~ sQ13_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1862,f1881,f559,f522,f1851]) ).
fof(f1885,definition,
! [X0] :
( sQ181_spl
<=> ( segmentP(X0,nil)
| ~ ssList(X0)
| ~ segmentP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1888,plain,
( ~ sQ176_spl
| ~ sQ13_spl
| ~ sQ10_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f1863,f1885,f522,f559,f1851]) ).
fof(f1897,plain,
! [X0,X1] :
( app(X1,X0) = X1
| ~ ssList(app(X1,X0))
| ~ ssList(X1)
| ~ frontsegP(X1,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1751,f341]) ).
fof(f1899,plain,
! [X0] :
( frontsegP(skaf53(X0),skaf53(X0))
| ~ ssList(skaf53(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1075,f1751]) ).
fof(f1900,plain,
! [X0] :
( frontsegP(skaf52(X0),skaf52(X0))
| ~ ssList(skaf52(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1073,f1751]) ).
fof(f1901,plain,
! [X0] :
( frontsegP(skaf51(X0),skaf51(X0))
| ~ ssList(skaf51(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1072,f1751]) ).
fof(f1904,plain,
( frontsegP(nil,nil)
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1095,f1751]) ).
fof(f1905,plain,
( frontsegP(sk2,sk2)
| ~ ssList(sk2)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1082,f1751]) ).
fof(f1916,plain,
! [X0,X1] :
( app(X1,X0) = X1
| ~ ssList(app(X1,X0))
| ~ frontsegP(X1,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1897]) ).
fof(f1917,plain,
! [X0,X1] :
( app(X1,X0) = X1
| ~ frontsegP(X1,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1916,f285]) ).
fof(f1920,definition,
! [X0] :
( sQ184_spl
<=> ( frontsegP(skaf53(X0),skaf53(X0))
| ~ ssList(skaf53(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1923,plain,
( sQ184_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1899,f522,f1920]) ).
fof(f1924,definition,
! [X0] :
( sQ185_spl
<=> ( frontsegP(skaf52(X0),skaf52(X0))
| ~ ssList(skaf52(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1927,plain,
( sQ185_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1900,f522,f1924]) ).
fof(f1928,definition,
! [X0] :
( sQ186_spl
<=> ( frontsegP(skaf51(X0),skaf51(X0))
| ~ ssList(skaf51(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1931,plain,
( sQ186_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1901,f522,f1928]) ).
fof(f1934,plain,
( sQ107_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1904,f522,f1339]) ).
fof(f1935,plain,
( sQ25_spl
| ~ sQ17_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1905,f522,f599,f661]) ).
fof(f1942,plain,
! [X0] :
( frontsegP(skaf56(X0),skaf56(X0))
| ~ ssList(skaf56(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1076,f1751]) ).
fof(f1943,plain,
! [X0] :
( ssList(skaf56(X0))
| ~ ssList(skaf56(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1076,f285]) ).
fof(f1944,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)],[f1076,f659]) ).
fof(f1945,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)],[f1076,f658]) ).
fof(f1946,plain,
! [X0,X1] :
( frontsegP(skaf56(X0),X1)
| ~ ssList(skaf56(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf56(X0),X1) ),
inference(paramodulation,[status(thm)],[f1076,f351]) ).
fof(f1947,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)],[f1076,f501]) ).
fof(f1948,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)],[f1076,f404]) ).
fof(f1949,definition,
! [X0] :
( sQ187_spl
<=> ( frontsegP(skaf56(X0),skaf56(X0))
| ~ ssList(skaf56(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1952,plain,
( sQ187_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1942,f522,f1949]) ).
fof(f1953,definition,
! [X0] :
( sQ188_spl
<=> ( ssList(skaf56(X0))
| ~ ssList(skaf56(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1956,plain,
( sQ188_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1943,f522,f1953]) ).
fof(f1957,definition,
! [X0,X1,X2] :
( sQ189_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,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1960,plain,
( ~ sQ10_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f1944,f1957,f522]) ).
fof(f1961,definition,
! [X0,X1,X2,X3] :
( sQ190_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,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1964,plain,
( ~ sQ10_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1945,f1961,f522]) ).
fof(f1965,definition,
! [X0,X1] :
( sQ191_spl
<=> ( frontsegP(skaf56(X0),X1)
| ~ ssList(skaf56(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf56(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1968,plain,
( ~ sQ10_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f1946,f1965,f522]) ).
fof(f1969,definition,
! [X0,X1] :
( sQ192_spl
<=> ( segmentP(app(app(skaf56(X1),nil),X0),nil)
| ~ ssList(app(skaf56(X1),X0))
| ~ ssList(skaf56(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1972,plain,
( ~ sQ10_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f1947,f1969,f522]) ).
fof(f1973,definition,
! [X0,X1,X2] :
( sQ193_spl
<=> ( segmentP(app(skaf56(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf56(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1976,plain,
( ~ sQ10_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f1948,f1973,f522]) ).
fof(f1983,plain,
! [X0] :
( frontsegP(skaf57(X0),skaf57(X0))
| ~ ssList(skaf57(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1077,f1751]) ).
fof(f1984,plain,
! [X0] :
( ssList(skaf57(X0))
| ~ ssList(skaf57(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1077,f285]) ).
fof(f1985,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)],[f1077,f659]) ).
fof(f1986,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)],[f1077,f658]) ).
fof(f1987,plain,
! [X0,X1] :
( frontsegP(skaf57(X0),X1)
| ~ ssList(skaf57(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf57(X0),X1) ),
inference(paramodulation,[status(thm)],[f1077,f351]) ).
fof(f1988,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)],[f1077,f501]) ).
fof(f1989,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)],[f1077,f404]) ).
fof(f1990,definition,
! [X0] :
( sQ194_spl
<=> ( frontsegP(skaf57(X0),skaf57(X0))
| ~ ssList(skaf57(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1993,plain,
( sQ194_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1983,f522,f1990]) ).
fof(f1994,definition,
! [X0] :
( sQ195_spl
<=> ( ssList(skaf57(X0))
| ~ ssList(skaf57(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1997,plain,
( sQ195_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1984,f522,f1994]) ).
fof(f1998,definition,
! [X0,X1,X2] :
( sQ196_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,[sQ196_spl])],[split_symbol_definition]) ).
fof(f2001,plain,
( ~ sQ10_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f1985,f1998,f522]) ).
fof(f2002,definition,
! [X0,X1,X2,X3] :
( sQ197_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,[sQ197_spl])],[split_symbol_definition]) ).
fof(f2005,plain,
( ~ sQ10_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f1986,f2002,f522]) ).
fof(f2006,definition,
! [X0,X1] :
( sQ198_spl
<=> ( frontsegP(skaf57(X0),X1)
| ~ ssList(skaf57(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf57(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f2009,plain,
( ~ sQ10_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f1987,f2006,f522]) ).
fof(f2010,definition,
! [X0,X1] :
( sQ199_spl
<=> ( segmentP(app(app(skaf57(X1),nil),X0),nil)
| ~ ssList(app(skaf57(X1),X0))
| ~ ssList(skaf57(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f2013,plain,
( ~ sQ10_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f1988,f2010,f522]) ).
fof(f2014,definition,
! [X0,X1,X2] :
( sQ200_spl
<=> ( segmentP(app(skaf57(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf57(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f2017,plain,
( ~ sQ10_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1989,f2014,f522]) ).
fof(f2038,plain,
! [X0] :
( ~ sQ82_spl
| ~ ssList(nil)
| segmentP(app(sk2,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1135,f255]) ).
fof(f2039,plain,
! [X0,X1,X2] :
( ~ sQ82_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(X2,X1)
| ~ segmentP(nil,X2)
| segmentP(app(sk2,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1135,f374]) ).
fof(f2041,definition,
! [X0] :
( sQ203_spl
<=> ( segmentP(app(sk2,X0),nil)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f2042,plain,
! [X0] :
( ~ sQ203_spl
| segmentP(app(sk2,X0),nil)
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f2041]) ).
fof(f2045,plain,
( ~ sQ82_spl
| ~ sQ10_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f2038,f2041,f522,f1134]) ).
fof(f2046,definition,
! [X0,X1,X2] :
( sQ204_spl
<=> ( ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(X2,X1)
| ~ segmentP(nil,X2)
| segmentP(app(sk2,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f2049,plain,
( ~ sQ82_spl
| ~ sQ10_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f2039,f2046,f522,f1134]) ).
fof(f2052,plain,
! [X0,X1] :
( ~ sQ203_spl
| nil = app(sk2,X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(app(sk2,X0))
| ~ segmentP(X1,app(sk2,X0))
| ~ segmentP(nil,X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2042,f626]) ).
fof(f2053,plain,
! [X0,X1] :
( ~ sQ203_spl
| X1 = nil
| ~ segmentP(nil,X1)
| ~ ssList(X1)
| ~ ssList(app(sk2,X0))
| ~ ssList(nil)
| ~ segmentP(X1,app(sk2,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2042,f626]) ).
fof(f2054,plain,
! [X0,X1,X2] :
( ~ sQ203_spl
| ~ ssList(app(sk2,X0))
| ~ segmentP(X2,app(sk2,X0))
| segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(nil)
| ~ segmentP(X1,X2)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2042,f620]) ).
fof(f2055,plain,
! [X0,X1,X2] :
( ~ sQ203_spl
| ~ ssList(nil)
| ~ segmentP(nil,X2)
| segmentP(X1,X2)
| ~ ssList(X1)
| ~ ssList(app(sk2,X0))
| ~ ssList(X2)
| ~ segmentP(X1,app(sk2,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2042,f620]) ).
fof(f2056,plain,
! [X0,X1] :
( ~ sQ203_spl
| segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(app(sk2,X0))
| ~ ssList(nil)
| ~ segmentP(X1,app(sk2,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2042,f374]) ).
fof(f2057,plain,
! [X0] :
( ~ sQ203_spl
| app(sk2,X0) = nil
| ~ ssList(app(sk2,X0))
| ~ ssList(nil)
| ~ segmentP(nil,app(sk2,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2042,f339]) ).
fof(f2058,plain,
( ~ sQ203_spl
| segmentP(sk2,nil)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1082,f2042]) ).
fof(f2059,definition,
! [X0,X1] :
( sQ205_spl
<=> ( nil = app(sk2,X0)
| ~ ssList(X1)
| ~ ssList(app(sk2,X0))
| ~ segmentP(X1,app(sk2,X0))
| ~ segmentP(nil,X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f2062,plain,
( ~ sQ203_spl
| ~ sQ10_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f2052,f2059,f522,f2041]) ).
fof(f2063,definition,
! [X0,X1] :
( sQ206_spl
<=> ( X1 = nil
| ~ segmentP(nil,X1)
| ~ ssList(X1)
| ~ ssList(app(sk2,X0))
| ~ segmentP(X1,app(sk2,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f2066,plain,
( ~ sQ203_spl
| ~ sQ10_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f2053,f2063,f522,f2041]) ).
fof(f2067,definition,
! [X0,X1,X2] :
( sQ207_spl
<=> ( ~ ssList(app(sk2,X0))
| ~ segmentP(X2,app(sk2,X0))
| segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f2070,plain,
( ~ sQ203_spl
| ~ sQ10_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f2054,f2067,f522,f2041]) ).
fof(f2071,definition,
! [X0,X1,X2] :
( sQ208_spl
<=> ( ~ segmentP(nil,X2)
| segmentP(X1,X2)
| ~ ssList(X1)
| ~ ssList(app(sk2,X0))
| ~ ssList(X2)
| ~ segmentP(X1,app(sk2,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f2074,plain,
( ~ sQ203_spl
| ~ sQ10_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f2055,f2071,f522,f2041]) ).
fof(f2075,definition,
! [X0,X1] :
( sQ209_spl
<=> ( segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(app(sk2,X0))
| ~ segmentP(X1,app(sk2,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f2078,plain,
( ~ sQ203_spl
| ~ sQ10_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f2056,f2075,f522,f2041]) ).
fof(f2079,definition,
! [X0] :
( sQ210_spl
<=> ( app(sk2,X0) = nil
| ~ ssList(app(sk2,X0))
| ~ segmentP(nil,app(sk2,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f2082,plain,
( ~ sQ203_spl
| ~ sQ10_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f2057,f2079,f522,f2041]) ).
fof(f2083,plain,
( ~ sQ203_spl
| sQ37_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2058,f522,f732,f2041]) ).
fof(f2085,plain,
! [X0,X1,X2] :
( ~ sQ112_spl
| ~ ssList(X1)
| ~ ssList(sk2)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ segmentP(X1,sk2)
| app(app(X0,X1),X2) = sk2
| ~ segmentP(sk2,app(app(X0,X1),X2))
| ~ ssList(app(app(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f1385,f404]) ).
fof(f2086,plain,
! [X0,X1] :
( ~ sQ112_spl
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk2)
| ~ segmentP(X1,sk2)
| ~ segmentP(X0,X1)
| X0 = sk2
| ~ segmentP(sk2,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1385,f374]) ).
fof(f2089,definition,
! [X0,X1,X2] :
( sQ211_spl
<=> ( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ segmentP(X1,sk2)
| app(app(X0,X1),X2) = sk2
| ~ segmentP(sk2,app(app(X0,X1),X2))
| ~ ssList(app(app(X0,X1),X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f2092,plain,
( ~ sQ112_spl
| ~ sQ17_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f2085,f2089,f599,f1384]) ).
fof(f2093,definition,
! [X0,X1] :
( sQ212_spl
<=> ( ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X1,sk2)
| ~ segmentP(X0,X1)
| X0 = sk2
| ~ segmentP(sk2,X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f2096,plain,
( ~ sQ112_spl
| ~ sQ17_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f2086,f2093,f599,f1384]) ).
fof(f2105,plain,
! [X0] :
( frontsegP(skaf58(X0),skaf58(X0))
| ~ ssList(skaf58(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1078,f1751]) ).
fof(f2106,plain,
! [X0] :
( ssList(skaf58(X0))
| ~ ssList(skaf58(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1078,f285]) ).
fof(f2107,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)],[f1078,f659]) ).
fof(f2108,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)],[f1078,f658]) ).
fof(f2109,plain,
! [X0,X1] :
( frontsegP(skaf58(X0),X1)
| ~ ssList(skaf58(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf58(X0),X1) ),
inference(paramodulation,[status(thm)],[f1078,f351]) ).
fof(f2110,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)],[f1078,f501]) ).
fof(f2111,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)],[f1078,f404]) ).
fof(f2112,definition,
! [X0] :
( sQ213_spl
<=> ( frontsegP(skaf58(X0),skaf58(X0))
| ~ ssList(skaf58(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f2115,plain,
( sQ213_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2105,f522,f2112]) ).
fof(f2116,definition,
! [X0] :
( sQ214_spl
<=> ( ssList(skaf58(X0))
| ~ ssList(skaf58(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f2119,plain,
( sQ214_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2106,f522,f2116]) ).
fof(f2120,definition,
! [X0,X1,X2] :
( sQ215_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,[sQ215_spl])],[split_symbol_definition]) ).
fof(f2123,plain,
( ~ sQ10_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f2107,f2120,f522]) ).
fof(f2124,definition,
! [X0,X1,X2,X3] :
( sQ216_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,[sQ216_spl])],[split_symbol_definition]) ).
fof(f2127,plain,
( ~ sQ10_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f2108,f2124,f522]) ).
fof(f2128,definition,
! [X0,X1] :
( sQ217_spl
<=> ( frontsegP(skaf58(X0),X1)
| ~ ssList(skaf58(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf58(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f2131,plain,
( ~ sQ10_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f2109,f2128,f522]) ).
fof(f2132,definition,
! [X0,X1] :
( sQ218_spl
<=> ( segmentP(app(app(skaf58(X1),nil),X0),nil)
| ~ ssList(app(skaf58(X1),X0))
| ~ ssList(skaf58(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f2135,plain,
( ~ sQ10_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f2110,f2132,f522]) ).
fof(f2136,definition,
! [X0,X1,X2] :
( sQ219_spl
<=> ( segmentP(app(skaf58(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf58(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f2139,plain,
( ~ sQ10_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f2111,f2136,f522]) ).
fof(f2146,plain,
! [X0] :
( frontsegP(skaf61(X0),skaf61(X0))
| ~ ssList(skaf61(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1079,f1751]) ).
fof(f2147,plain,
! [X0] :
( ssList(skaf61(X0))
| ~ ssList(skaf61(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1079,f285]) ).
fof(f2148,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)],[f1079,f659]) ).
fof(f2149,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)],[f1079,f658]) ).
fof(f2150,plain,
! [X0,X1] :
( frontsegP(skaf61(X0),X1)
| ~ ssList(skaf61(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf61(X0),X1) ),
inference(paramodulation,[status(thm)],[f1079,f351]) ).
fof(f2151,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)],[f1079,f501]) ).
fof(f2152,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)],[f1079,f404]) ).
fof(f2153,definition,
! [X0] :
( sQ220_spl
<=> ( frontsegP(skaf61(X0),skaf61(X0))
| ~ ssList(skaf61(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f2156,plain,
( sQ220_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2146,f522,f2153]) ).
fof(f2157,definition,
! [X0] :
( sQ221_spl
<=> ( ssList(skaf61(X0))
| ~ ssList(skaf61(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f2160,plain,
( sQ221_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2147,f522,f2157]) ).
fof(f2161,definition,
! [X0,X1,X2] :
( sQ222_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,[sQ222_spl])],[split_symbol_definition]) ).
fof(f2164,plain,
( ~ sQ10_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f2148,f2161,f522]) ).
fof(f2165,definition,
! [X0,X1,X2,X3] :
( sQ223_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,[sQ223_spl])],[split_symbol_definition]) ).
fof(f2168,plain,
( ~ sQ10_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f2149,f2165,f522]) ).
fof(f2169,definition,
! [X0,X1] :
( sQ224_spl
<=> ( frontsegP(skaf61(X0),X1)
| ~ ssList(skaf61(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf61(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f2172,plain,
( ~ sQ10_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f2150,f2169,f522]) ).
fof(f2173,definition,
! [X0,X1] :
( sQ225_spl
<=> ( segmentP(app(app(skaf61(X1),nil),X0),nil)
| ~ ssList(app(skaf61(X1),X0))
| ~ ssList(skaf61(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f2176,plain,
( ~ sQ10_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f2151,f2173,f522]) ).
fof(f2177,definition,
! [X0,X1,X2] :
( sQ226_spl
<=> ( segmentP(app(skaf61(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf61(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f2180,plain,
( ~ sQ10_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f2152,f2177,f522]) ).
fof(f2187,plain,
! [X0] :
( frontsegP(skaf62(X0),skaf62(X0))
| ~ ssList(skaf62(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1080,f1751]) ).
fof(f2188,plain,
! [X0] :
( ssList(skaf62(X0))
| ~ ssList(skaf62(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1080,f285]) ).
fof(f2189,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)],[f1080,f659]) ).
fof(f2190,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)],[f1080,f658]) ).
fof(f2191,plain,
! [X0,X1] :
( frontsegP(skaf62(X0),X1)
| ~ ssList(skaf62(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf62(X0),X1) ),
inference(paramodulation,[status(thm)],[f1080,f351]) ).
fof(f2192,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)],[f1080,f501]) ).
fof(f2193,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)],[f1080,f404]) ).
fof(f2194,definition,
! [X0] :
( sQ227_spl
<=> ( frontsegP(skaf62(X0),skaf62(X0))
| ~ ssList(skaf62(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f2197,plain,
( sQ227_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2187,f522,f2194]) ).
fof(f2198,definition,
! [X0] :
( sQ228_spl
<=> ( ssList(skaf62(X0))
| ~ ssList(skaf62(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f2201,plain,
( sQ228_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2188,f522,f2198]) ).
fof(f2202,definition,
! [X0,X1,X2] :
( sQ229_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,[sQ229_spl])],[split_symbol_definition]) ).
fof(f2205,plain,
( ~ sQ10_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f2189,f2202,f522]) ).
fof(f2206,definition,
! [X0,X1,X2,X3] :
( sQ230_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,[sQ230_spl])],[split_symbol_definition]) ).
fof(f2209,plain,
( ~ sQ10_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f2190,f2206,f522]) ).
fof(f2210,definition,
! [X0,X1] :
( sQ231_spl
<=> ( frontsegP(skaf62(X0),X1)
| ~ ssList(skaf62(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf62(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f2213,plain,
( ~ sQ10_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f2191,f2210,f522]) ).
fof(f2214,definition,
! [X0,X1] :
( sQ232_spl
<=> ( segmentP(app(app(skaf62(X1),nil),X0),nil)
| ~ ssList(app(skaf62(X1),X0))
| ~ ssList(skaf62(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f2217,plain,
( ~ sQ10_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f2192,f2214,f522]) ).
fof(f2218,definition,
! [X0,X1,X2] :
( sQ233_spl
<=> ( segmentP(app(skaf62(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf62(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f2221,plain,
( ~ sQ10_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f2193,f2218,f522]) ).
fof(f2231,plain,
! [X0,X1] :
( ~ sQ117_spl
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(sk3,X1)
| X0 = sk3
| ~ ssList(X0)
| ~ frontsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f1447,f378]) ).
fof(f2236,definition,
! [X0,X1] :
( sQ234_spl
<=> ( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(sk3,X1)
| X0 = sk3
| ~ ssList(X0)
| ~ frontsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f2239,plain,
( ~ sQ117_spl
| ~ sQ13_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f2231,f2236,f559,f1446]) ).
fof(f2243,plain,
! [X0,X1,X2,X3] :
( ~ sQ88_spl
| ~ ssList(X2)
| ~ ssList(sk2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X2,sk2)
| ~ segmentP(sk2,X0)
| segmentP(app(app(X1,X2),X3),X0)
| ~ ssList(app(app(X1,X2),X3))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1194,f404]) ).
fof(f2244,plain,
! [X0,X1,X2] :
( ~ sQ88_spl
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(sk2)
| ~ segmentP(X2,sk2)
| ~ segmentP(X1,X2)
| ~ segmentP(sk2,X0)
| segmentP(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1194,f374]) ).
fof(f2245,plain,
! [X0] :
( ~ sQ88_spl
| ~ ssList(sk2)
| ~ segmentP(sk2,X0)
| segmentP(sk2,X0)
| ~ ssList(sk2)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1194,f256]) ).
fof(f2246,definition,
! [X0] :
( sQ235_spl
<=> ( ~ segmentP(sk2,X0)
| segmentP(sk2,X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f2250,definition,
! [X0,X1,X2,X3] :
( sQ236_spl
<=> ( ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X2,sk2)
| ~ segmentP(sk2,X0)
| segmentP(app(app(X1,X2),X3),X0)
| ~ ssList(app(app(X1,X2),X3))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f2253,plain,
( ~ sQ88_spl
| ~ sQ17_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f2243,f2250,f599,f1193]) ).
fof(f2254,definition,
! [X0,X1,X2] :
( sQ237_spl
<=> ( ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X2,sk2)
| ~ segmentP(X1,X2)
| ~ segmentP(sk2,X0)
| segmentP(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f2257,plain,
( ~ sQ88_spl
| ~ sQ17_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f2244,f2254,f599,f1193]) ).
fof(f2258,plain,
( ~ sQ88_spl
| ~ sQ17_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f2245,f2246,f599,f1193]) ).
fof(f2260,plain,
! [X0] :
( ~ sQ118_spl
| ~ ssList(sk2)
| ~ ssList(X0)
| app(sk2,X0) = sk2
| ~ frontsegP(sk2,app(sk2,X0))
| ~ ssList(app(sk2,X0)) ),
inference(resolution,[status(thm)],[f1453,f1751]) ).
fof(f2261,plain,
! [X0,X1] :
( ~ sQ118_spl
| ~ ssList(X0)
| ~ ssList(sk2)
| ~ ssList(X1)
| ~ frontsegP(X0,sk2)
| app(X0,X1) = sk2
| ~ frontsegP(sk2,app(X0,X1))
| ~ ssList(app(X0,X1)) ),
inference(resolution,[status(thm)],[f1453,f351]) ).
fof(f2263,plain,
! [X0,X1] :
( ~ sQ118_spl
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk2)
| ~ frontsegP(X1,sk2)
| ~ frontsegP(X0,X1)
| X0 = sk2
| ~ frontsegP(sk2,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1453,f378]) ).
fof(f2265,definition,
! [X0] :
( sQ238_spl
<=> ( ~ ssList(X0)
| app(sk2,X0) = sk2
| ~ frontsegP(sk2,app(sk2,X0))
| ~ ssList(app(sk2,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f2268,plain,
( ~ sQ118_spl
| ~ sQ17_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f2260,f2265,f599,f1452]) ).
fof(f2269,definition,
! [X0,X1] :
( sQ239_spl
<=> ( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,sk2)
| app(X0,X1) = sk2
| ~ frontsegP(sk2,app(X0,X1))
| ~ ssList(app(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f2272,plain,
( ~ sQ118_spl
| ~ sQ17_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f2261,f2269,f599,f1452]) ).
fof(f2274,definition,
! [X0,X1] :
( sQ240_spl
<=> ( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,sk2)
| ~ frontsegP(X0,X1)
| X0 = sk2
| ~ frontsegP(sk2,X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f2277,plain,
( ~ sQ118_spl
| ~ sQ17_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f2263,f2274,f599,f1452]) ).
fof(f2283,plain,
! [X0] :
( app(skaf62(X0),nil) = skaf62(X0)
| ~ frontsegP(skaf62(X0),skaf62(X0))
| ~ ssList(skaf62(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1080,f1917]) ).
fof(f2284,plain,
! [X0] :
( app(skaf61(X0),nil) = skaf61(X0)
| ~ frontsegP(skaf61(X0),skaf61(X0))
| ~ ssList(skaf61(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1079,f1917]) ).
fof(f2285,plain,
! [X0] :
( app(skaf58(X0),nil) = skaf58(X0)
| ~ frontsegP(skaf58(X0),skaf58(X0))
| ~ ssList(skaf58(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1078,f1917]) ).
fof(f2286,plain,
! [X0] :
( app(skaf57(X0),nil) = skaf57(X0)
| ~ frontsegP(skaf57(X0),skaf57(X0))
| ~ ssList(skaf57(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1077,f1917]) ).
fof(f2287,plain,
! [X0] :
( app(skaf56(X0),nil) = skaf56(X0)
| ~ frontsegP(skaf56(X0),skaf56(X0))
| ~ ssList(skaf56(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1076,f1917]) ).
fof(f2288,plain,
! [X0] :
( app(skaf53(X0),nil) = skaf53(X0)
| ~ frontsegP(skaf53(X0),skaf53(X0))
| ~ ssList(skaf53(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1075,f1917]) ).
fof(f2289,plain,
! [X0] :
( app(skaf52(X0),nil) = skaf52(X0)
| ~ frontsegP(skaf52(X0),skaf52(X0))
| ~ ssList(skaf52(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1073,f1917]) ).
fof(f2290,plain,
! [X0] :
( app(skaf51(X0),nil) = skaf51(X0)
| ~ frontsegP(skaf51(X0),skaf51(X0))
| ~ ssList(skaf51(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1072,f1917]) ).
fof(f2293,plain,
( app(nil,nil) = nil
| ~ frontsegP(nil,nil)
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1095,f1917]) ).
fof(f2294,plain,
( app(sk2,nil) = sk2
| ~ frontsegP(sk2,sk2)
| ~ ssList(sk2)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1082,f1917]) ).
fof(f2295,plain,
( app(sk3,nil) = sk3
| ~ frontsegP(sk3,sk3)
| ~ ssList(sk3)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1074,f1917]) ).
fof(f2299,definition,
! [X0] :
( sQ241_spl
<=> ( app(skaf62(X0),nil) = skaf62(X0)
| ~ frontsegP(skaf62(X0),skaf62(X0))
| ~ ssList(skaf62(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f2302,plain,
( sQ241_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2283,f522,f2299]) ).
fof(f2303,definition,
! [X0] :
( sQ242_spl
<=> ( app(skaf61(X0),nil) = skaf61(X0)
| ~ frontsegP(skaf61(X0),skaf61(X0))
| ~ ssList(skaf61(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f2306,plain,
( sQ242_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2284,f522,f2303]) ).
fof(f2307,definition,
! [X0] :
( sQ243_spl
<=> ( app(skaf58(X0),nil) = skaf58(X0)
| ~ frontsegP(skaf58(X0),skaf58(X0))
| ~ ssList(skaf58(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f2310,plain,
( sQ243_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2285,f522,f2307]) ).
fof(f2311,definition,
! [X0] :
( sQ244_spl
<=> ( app(skaf57(X0),nil) = skaf57(X0)
| ~ frontsegP(skaf57(X0),skaf57(X0))
| ~ ssList(skaf57(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f2314,plain,
( sQ244_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2286,f522,f2311]) ).
fof(f2315,definition,
! [X0] :
( sQ245_spl
<=> ( app(skaf56(X0),nil) = skaf56(X0)
| ~ frontsegP(skaf56(X0),skaf56(X0))
| ~ ssList(skaf56(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f2318,plain,
( sQ245_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2287,f522,f2315]) ).
fof(f2319,definition,
! [X0] :
( sQ246_spl
<=> ( app(skaf53(X0),nil) = skaf53(X0)
| ~ frontsegP(skaf53(X0),skaf53(X0))
| ~ ssList(skaf53(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f2322,plain,
( sQ246_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2288,f522,f2319]) ).
fof(f2323,definition,
! [X0] :
( sQ247_spl
<=> ( app(skaf52(X0),nil) = skaf52(X0)
| ~ frontsegP(skaf52(X0),skaf52(X0))
| ~ ssList(skaf52(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f2326,plain,
( sQ247_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2289,f522,f2323]) ).
fof(f2327,definition,
! [X0] :
( sQ248_spl
<=> ( app(skaf51(X0),nil) = skaf51(X0)
| ~ frontsegP(skaf51(X0),skaf51(X0))
| ~ ssList(skaf51(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f2330,plain,
( sQ248_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2290,f522,f2327]) ).
fof(f2339,definition,
( sQ251_spl
<=> app(nil,nil) = nil ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f2342,plain,
( sQ251_spl
| ~ sQ107_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2293,f522,f1339,f2339]) ).
fof(f2343,definition,
( sQ252_spl
<=> app(sk2,nil) = sk2 ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f2346,plain,
( sQ252_spl
| ~ sQ25_spl
| ~ sQ17_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2294,f522,f599,f661,f2343]) ).
fof(f2347,definition,
( sQ253_spl
<=> app(sk3,nil) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f2350,plain,
( sQ253_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2295,f522,f559,f1144,f2347]) ).
fof(f2359,plain,
! [X0] :
( app(skaf63(X0),nil) = skaf63(X0)
| ~ frontsegP(skaf63(X0),skaf63(X0))
| ~ ssList(skaf63(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1081,f1917]) ).
fof(f2360,plain,
! [X0] :
( frontsegP(skaf63(X0),skaf63(X0))
| ~ ssList(skaf63(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1081,f1751]) ).
fof(f2361,plain,
! [X0] :
( ssList(skaf63(X0))
| ~ ssList(skaf63(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1081,f285]) ).
fof(f2362,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)],[f1081,f659]) ).
fof(f2363,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)],[f1081,f658]) ).
fof(f2364,plain,
! [X0,X1] :
( frontsegP(skaf63(X0),X1)
| ~ ssList(skaf63(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf63(X0),X1) ),
inference(paramodulation,[status(thm)],[f1081,f351]) ).
fof(f2365,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)],[f1081,f501]) ).
fof(f2366,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)],[f1081,f404]) ).
fof(f2367,definition,
! [X0] :
( sQ255_spl
<=> ( app(skaf63(X0),nil) = skaf63(X0)
| ~ frontsegP(skaf63(X0),skaf63(X0))
| ~ ssList(skaf63(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f2370,plain,
( sQ255_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2359,f522,f2367]) ).
fof(f2371,definition,
! [X0] :
( sQ256_spl
<=> ( frontsegP(skaf63(X0),skaf63(X0))
| ~ ssList(skaf63(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f2374,plain,
( sQ256_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2360,f522,f2371]) ).
fof(f2375,definition,
! [X0] :
( sQ257_spl
<=> ( ssList(skaf63(X0))
| ~ ssList(skaf63(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f2378,plain,
( sQ257_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2361,f522,f2375]) ).
fof(f2379,definition,
! [X0,X1,X2] :
( sQ258_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,[sQ258_spl])],[split_symbol_definition]) ).
fof(f2382,plain,
( ~ sQ10_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f2362,f2379,f522]) ).
fof(f2383,definition,
! [X0,X1,X2,X3] :
( sQ259_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,[sQ259_spl])],[split_symbol_definition]) ).
fof(f2386,plain,
( ~ sQ10_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f2363,f2383,f522]) ).
fof(f2387,definition,
! [X0,X1] :
( sQ260_spl
<=> ( frontsegP(skaf63(X0),X1)
| ~ ssList(skaf63(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf63(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f2390,plain,
( ~ sQ10_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f2364,f2387,f522]) ).
fof(f2391,definition,
! [X0,X1] :
( sQ261_spl
<=> ( segmentP(app(app(skaf63(X1),nil),X0),nil)
| ~ ssList(app(skaf63(X1),X0))
| ~ ssList(skaf63(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f2394,plain,
( ~ sQ10_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f2365,f2391,f522]) ).
fof(f2395,definition,
! [X0,X1,X2] :
( sQ262_spl
<=> ( segmentP(app(skaf63(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf63(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f2398,plain,
( ~ sQ10_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f2366,f2395,f522]) ).
fof(f2405,plain,
! [X0] :
( app(skaf66(X0),nil) = skaf66(X0)
| ~ frontsegP(skaf66(X0),skaf66(X0))
| ~ ssList(skaf66(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1083,f1917]) ).
fof(f2406,plain,
! [X0] :
( frontsegP(skaf66(X0),skaf66(X0))
| ~ ssList(skaf66(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1083,f1751]) ).
fof(f2407,plain,
! [X0] :
( ssList(skaf66(X0))
| ~ ssList(skaf66(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1083,f285]) ).
fof(f2408,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)],[f1083,f659]) ).
fof(f2409,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)],[f1083,f658]) ).
fof(f2410,plain,
! [X0,X1] :
( frontsegP(skaf66(X0),X1)
| ~ ssList(skaf66(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf66(X0),X1) ),
inference(paramodulation,[status(thm)],[f1083,f351]) ).
fof(f2411,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)],[f1083,f501]) ).
fof(f2412,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)],[f1083,f404]) ).
fof(f2413,definition,
! [X0] :
( sQ263_spl
<=> ( app(skaf66(X0),nil) = skaf66(X0)
| ~ frontsegP(skaf66(X0),skaf66(X0))
| ~ ssList(skaf66(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f2416,plain,
( sQ263_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2405,f522,f2413]) ).
fof(f2417,definition,
! [X0] :
( sQ264_spl
<=> ( frontsegP(skaf66(X0),skaf66(X0))
| ~ ssList(skaf66(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f2420,plain,
( sQ264_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2406,f522,f2417]) ).
fof(f2421,definition,
! [X0] :
( sQ265_spl
<=> ( ssList(skaf66(X0))
| ~ ssList(skaf66(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f2424,plain,
( sQ265_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2407,f522,f2421]) ).
fof(f2425,definition,
! [X0,X1,X2] :
( sQ266_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,[sQ266_spl])],[split_symbol_definition]) ).
fof(f2428,plain,
( ~ sQ10_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f2408,f2425,f522]) ).
fof(f2429,definition,
! [X0,X1,X2,X3] :
( sQ267_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,[sQ267_spl])],[split_symbol_definition]) ).
fof(f2432,plain,
( ~ sQ10_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f2409,f2429,f522]) ).
fof(f2433,definition,
! [X0,X1] :
( sQ268_spl
<=> ( frontsegP(skaf66(X0),X1)
| ~ ssList(skaf66(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf66(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f2436,plain,
( ~ sQ10_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f2410,f2433,f522]) ).
fof(f2437,definition,
! [X0,X1] :
( sQ269_spl
<=> ( segmentP(app(app(skaf66(X1),nil),X0),nil)
| ~ ssList(app(skaf66(X1),X0))
| ~ ssList(skaf66(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f2440,plain,
( ~ sQ10_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f2411,f2437,f522]) ).
fof(f2441,definition,
! [X0,X1,X2] :
( sQ270_spl
<=> ( segmentP(app(skaf66(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf66(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f2444,plain,
( ~ sQ10_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f2412,f2441,f522]) ).
fof(f2451,plain,
! [X0] :
( app(skaf67(X0),nil) = skaf67(X0)
| ~ frontsegP(skaf67(X0),skaf67(X0))
| ~ ssList(skaf67(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1084,f1917]) ).
fof(f2452,plain,
! [X0] :
( frontsegP(skaf67(X0),skaf67(X0))
| ~ ssList(skaf67(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1084,f1751]) ).
fof(f2453,plain,
! [X0] :
( ssList(skaf67(X0))
| ~ ssList(skaf67(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1084,f285]) ).
fof(f2454,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)],[f1084,f659]) ).
fof(f2455,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)],[f1084,f658]) ).
fof(f2456,plain,
! [X0,X1] :
( frontsegP(skaf67(X0),X1)
| ~ ssList(skaf67(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf67(X0),X1) ),
inference(paramodulation,[status(thm)],[f1084,f351]) ).
fof(f2457,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)],[f1084,f501]) ).
fof(f2458,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)],[f1084,f404]) ).
fof(f2459,definition,
! [X0] :
( sQ271_spl
<=> ( app(skaf67(X0),nil) = skaf67(X0)
| ~ frontsegP(skaf67(X0),skaf67(X0))
| ~ ssList(skaf67(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f2462,plain,
( sQ271_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2451,f522,f2459]) ).
fof(f2463,definition,
! [X0] :
( sQ272_spl
<=> ( frontsegP(skaf67(X0),skaf67(X0))
| ~ ssList(skaf67(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f2466,plain,
( sQ272_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2452,f522,f2463]) ).
fof(f2467,definition,
! [X0] :
( sQ273_spl
<=> ( ssList(skaf67(X0))
| ~ ssList(skaf67(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f2470,plain,
( sQ273_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2453,f522,f2467]) ).
fof(f2471,definition,
! [X0,X1,X2] :
( sQ274_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,[sQ274_spl])],[split_symbol_definition]) ).
fof(f2474,plain,
( ~ sQ10_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f2454,f2471,f522]) ).
fof(f2475,definition,
! [X0,X1,X2,X3] :
( sQ275_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,[sQ275_spl])],[split_symbol_definition]) ).
fof(f2478,plain,
( ~ sQ10_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f2455,f2475,f522]) ).
fof(f2479,definition,
! [X0,X1] :
( sQ276_spl
<=> ( frontsegP(skaf67(X0),X1)
| ~ ssList(skaf67(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf67(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f2482,plain,
( ~ sQ10_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f2456,f2479,f522]) ).
fof(f2483,definition,
! [X0,X1] :
( sQ277_spl
<=> ( segmentP(app(app(skaf67(X1),nil),X0),nil)
| ~ ssList(app(skaf67(X1),X0))
| ~ ssList(skaf67(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f2486,plain,
( ~ sQ10_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f2457,f2483,f522]) ).
fof(f2487,definition,
! [X0,X1,X2] :
( sQ278_spl
<=> ( segmentP(app(skaf67(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf67(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f2490,plain,
( ~ sQ10_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f2458,f2487,f522]) ).
fof(f2515,plain,
! [X0] :
( ~ sQ101_spl
| ~ ssList(sk3)
| ~ ssList(X0)
| segmentP(app(sk3,X0),sk3)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1308,f285]) ).
fof(f2516,plain,
( ~ sQ101_spl
| segmentP(app(sk3,nil),sk3)
| ~ ssList(sk3)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1074,f1308]) ).
fof(f2517,definition,
! [X0] :
( sQ279_spl
<=> ( ~ ssList(X0)
| segmentP(app(sk3,X0),sk3)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f2518,plain,
! [X0] :
( ~ sQ279_spl
| ~ ssList(X0)
| segmentP(app(sk3,X0),sk3)
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f2517]) ).
fof(f2520,plain,
( ~ sQ101_spl
| ~ sQ13_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f2515,f2517,f559,f1299]) ).
fof(f2521,definition,
( sQ280_spl
<=> segmentP(app(sk3,nil),sk3) ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f2522,plain,
( ~ sQ280_spl
| segmentP(app(sk3,nil),sk3) ),
inference(component_clause,[status(thm)],[f2521]) ).
fof(f2524,plain,
( ~ sQ101_spl
| sQ280_spl
| ~ sQ13_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2516,f522,f559,f2521,f1299]) ).
fof(f2525,plain,
! [X0] :
( ~ sQ279_spl
| segmentP(app(sk3,X0),sk3)
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2518]) ).
fof(f2526,plain,
( ~ sQ280_spl
| segmentP(sk3,sk3) ),
inference(forward_demodulation,[status(thm)],[f1074,f2522]) ).
fof(f2528,plain,
! [X0,X1,X2,X3] :
( ~ sQ92_spl
| ~ ssList(X2)
| ~ ssList(sk2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X2,sk2)
| segmentP(X0,sk2)
| ~ ssList(X0)
| ~ ssList(app(app(X1,X2),X3))
| ~ segmentP(X0,app(app(X1,X2),X3)) ),
inference(resolution,[status(thm)],[f1215,f404]) ).
fof(f2529,plain,
! [X0,X1,X2] :
( ~ sQ92_spl
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(sk2)
| ~ segmentP(X2,sk2)
| ~ segmentP(X1,X2)
| segmentP(X0,sk2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1) ),
inference(resolution,[status(thm)],[f1215,f374]) ).
fof(f2532,definition,
! [X0,X1,X2,X3] :
( sQ281_spl
<=> ( ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X2,sk2)
| segmentP(X0,sk2)
| ~ ssList(X0)
| ~ ssList(app(app(X1,X2),X3))
| ~ segmentP(X0,app(app(X1,X2),X3)) ) ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f2535,plain,
( ~ sQ92_spl
| ~ sQ17_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f2528,f2532,f599,f1214]) ).
fof(f2536,definition,
! [X0,X1,X2] :
( sQ282_spl
<=> ( ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X2,sk2)
| ~ segmentP(X1,X2)
| segmentP(X0,sk2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f2539,plain,
( ~ sQ92_spl
| ~ sQ17_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f2529,f2536,f599,f1214]) ).
fof(f2551,plain,
! [X0] :
( ~ sQ280_spl
| X0 = sk3
| ~ segmentP(sk3,X0)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ segmentP(X0,sk3) ),
inference(resolution,[status(thm)],[f2526,f626]) ).
fof(f2552,plain,
! [X0] :
( ~ sQ280_spl
| ~ ssList(sk3)
| segmentP(X0,sk3)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ segmentP(X0,sk3) ),
inference(resolution,[status(thm)],[f2526,f620]) ).
fof(f2553,plain,
! [X0,X1] :
( ~ sQ280_spl
| ~ ssList(sk3)
| ~ segmentP(X1,sk3)
| segmentP(X0,sk3)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk3)
| ~ segmentP(X0,X1) ),
inference(resolution,[status(thm)],[f2526,f620]) ).
fof(f2555,plain,
! [X0,X1] :
( ~ sQ280_spl
| ~ ssList(sk3)
| ~ segmentP(sk3,X1)
| segmentP(X0,X1)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ segmentP(X0,sk3) ),
inference(resolution,[status(thm)],[f2526,f620]) ).
fof(f2564,definition,
( sQ283_spl
<=> segmentP(sk3,sk3) ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f2570,definition,
! [X0] :
( sQ284_spl
<=> ( X0 = sk3
| ~ segmentP(sk3,X0)
| ~ ssList(X0)
| ~ segmentP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f2571,plain,
! [X0] :
( ~ sQ284_spl
| X0 = sk3
| ~ segmentP(sk3,X0)
| ~ ssList(X0)
| ~ segmentP(X0,sk3) ),
inference(component_clause,[status(thm)],[f2570]) ).
fof(f2573,plain,
( ~ sQ280_spl
| ~ sQ13_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f2551,f2570,f559,f2521]) ).
fof(f2574,definition,
! [X0] :
( sQ285_spl
<=> ( segmentP(X0,sk3)
| ~ ssList(X0)
| ~ segmentP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f2577,plain,
( ~ sQ280_spl
| ~ sQ13_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f2552,f2574,f559,f2521]) ).
fof(f2578,definition,
! [X0,X1] :
( sQ286_spl
<=> ( ~ segmentP(X1,sk3)
| segmentP(X0,sk3)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f2581,plain,
( ~ sQ280_spl
| ~ sQ13_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f2553,f2578,f559,f2521]) ).
fof(f2583,definition,
! [X0,X1] :
( sQ287_spl
<=> ( ~ segmentP(sk3,X1)
| segmentP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f2586,plain,
( ~ sQ280_spl
| ~ sQ13_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f2555,f2583,f559,f2521]) ).
fof(f2591,plain,
! [X0,X1] :
( ~ sQ279_spl
| sk3 = app(sk3,X0)
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ ssList(app(sk3,X0))
| ~ segmentP(X1,app(sk3,X0))
| ~ segmentP(sk3,X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2525,f626]) ).
fof(f2592,plain,
! [X0,X1] :
( ~ sQ279_spl
| X1 = sk3
| ~ segmentP(sk3,X1)
| ~ ssList(X1)
| ~ ssList(app(sk3,X0))
| ~ ssList(sk3)
| ~ segmentP(X1,app(sk3,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2525,f626]) ).
fof(f2593,plain,
! [X0,X1,X2] :
( ~ sQ279_spl
| ~ ssList(app(sk3,X0))
| ~ segmentP(X2,app(sk3,X0))
| segmentP(X1,sk3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(sk3)
| ~ segmentP(X1,X2)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2525,f620]) ).
fof(f2594,plain,
! [X0,X1,X2] :
( ~ sQ279_spl
| ~ ssList(sk3)
| ~ segmentP(sk3,X2)
| segmentP(X1,X2)
| ~ ssList(X1)
| ~ ssList(app(sk3,X0))
| ~ ssList(X2)
| ~ segmentP(X1,app(sk3,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2525,f620]) ).
fof(f2595,plain,
! [X0,X1] :
( ~ sQ279_spl
| segmentP(X1,sk3)
| ~ ssList(X1)
| ~ ssList(app(sk3,X0))
| ~ ssList(sk3)
| ~ segmentP(X1,app(sk3,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2525,f374]) ).
fof(f2596,plain,
! [X0] :
( ~ sQ279_spl
| app(sk3,X0) = sk3
| ~ ssList(app(sk3,X0))
| ~ ssList(sk3)
| ~ segmentP(sk3,app(sk3,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2525,f339]) ).
fof(f2597,plain,
( ~ sQ279_spl
| segmentP(sk3,sk3)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1074,f2525]) ).
fof(f2598,definition,
! [X0,X1] :
( sQ288_spl
<=> ( sk3 = app(sk3,X0)
| ~ ssList(X1)
| ~ ssList(app(sk3,X0))
| ~ segmentP(X1,app(sk3,X0))
| ~ segmentP(sk3,X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f2601,plain,
( ~ sQ279_spl
| ~ sQ13_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f2591,f2598,f559,f2517]) ).
fof(f2602,definition,
! [X0,X1] :
( sQ289_spl
<=> ( X1 = sk3
| ~ segmentP(sk3,X1)
| ~ ssList(X1)
| ~ ssList(app(sk3,X0))
| ~ segmentP(X1,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f2605,plain,
( ~ sQ279_spl
| ~ sQ13_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f2592,f2602,f559,f2517]) ).
fof(f2606,definition,
! [X0,X1,X2] :
( sQ290_spl
<=> ( ~ ssList(app(sk3,X0))
| ~ segmentP(X2,app(sk3,X0))
| segmentP(X1,sk3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f2609,plain,
( ~ sQ279_spl
| ~ sQ13_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f2593,f2606,f559,f2517]) ).
fof(f2610,definition,
! [X0,X1,X2] :
( sQ291_spl
<=> ( ~ segmentP(sk3,X2)
| segmentP(X1,X2)
| ~ ssList(X1)
| ~ ssList(app(sk3,X0))
| ~ ssList(X2)
| ~ segmentP(X1,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f2613,plain,
( ~ sQ279_spl
| ~ sQ13_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f2594,f2610,f559,f2517]) ).
fof(f2614,definition,
! [X0,X1] :
( sQ292_spl
<=> ( segmentP(X1,sk3)
| ~ ssList(X1)
| ~ ssList(app(sk3,X0))
| ~ segmentP(X1,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f2617,plain,
( ~ sQ279_spl
| ~ sQ13_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f2595,f2614,f559,f2517]) ).
fof(f2618,definition,
! [X0] :
( sQ293_spl
<=> ( app(sk3,X0) = sk3
| ~ ssList(app(sk3,X0))
| ~ segmentP(sk3,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f2621,plain,
( ~ sQ279_spl
| ~ sQ13_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f2596,f2618,f559,f2517]) ).
fof(f2622,plain,
( ~ sQ279_spl
| sQ283_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2597,f522,f2564,f2517]) ).
fof(f2626,definition,
( sQ294_spl
<=> ssItem(skac2) ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f2628,plain,
( sQ294_spl
| ~ ssItem(skac2) ),
inference(component_clause,[status(thm)],[f2626]) ).
fof(f2638,plain,
( sQ294_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2628,f209]) ).
fof(f2639,plain,
sQ294_spl,
inference(contradiction_clause,[status(thm)],[f2638]) ).
fof(f2643,definition,
( sQ297_spl
<=> ssItem(skac3) ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f2645,plain,
( sQ297_spl
| ~ ssItem(skac3) ),
inference(component_clause,[status(thm)],[f2643]) ).
fof(f2655,plain,
( sQ297_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2645,f208]) ).
fof(f2656,plain,
sQ297_spl,
inference(contradiction_clause,[status(thm)],[f2655]) ).
fof(f2657,plain,
! [X0] :
( app(skaf68(X0),nil) = skaf68(X0)
| ~ frontsegP(skaf68(X0),skaf68(X0))
| ~ ssList(skaf68(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1085,f1917]) ).
fof(f2658,plain,
! [X0] :
( frontsegP(skaf68(X0),skaf68(X0))
| ~ ssList(skaf68(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1085,f1751]) ).
fof(f2659,plain,
! [X0] :
( ssList(skaf68(X0))
| ~ ssList(skaf68(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1085,f285]) ).
fof(f2660,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)],[f1085,f659]) ).
fof(f2661,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)],[f1085,f658]) ).
fof(f2662,plain,
! [X0,X1] :
( frontsegP(skaf68(X0),X1)
| ~ ssList(skaf68(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf68(X0),X1) ),
inference(paramodulation,[status(thm)],[f1085,f351]) ).
fof(f2663,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)],[f1085,f501]) ).
fof(f2664,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)],[f1085,f404]) ).
fof(f2665,definition,
! [X0] :
( sQ300_spl
<=> ( app(skaf68(X0),nil) = skaf68(X0)
| ~ frontsegP(skaf68(X0),skaf68(X0))
| ~ ssList(skaf68(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f2668,plain,
( sQ300_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2657,f522,f2665]) ).
fof(f2669,definition,
! [X0] :
( sQ301_spl
<=> ( frontsegP(skaf68(X0),skaf68(X0))
| ~ ssList(skaf68(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f2672,plain,
( sQ301_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2658,f522,f2669]) ).
fof(f2673,definition,
! [X0] :
( sQ302_spl
<=> ( ssList(skaf68(X0))
| ~ ssList(skaf68(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f2676,plain,
( sQ302_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2659,f522,f2673]) ).
fof(f2677,definition,
! [X0,X1,X2] :
( sQ303_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,[sQ303_spl])],[split_symbol_definition]) ).
fof(f2680,plain,
( ~ sQ10_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f2660,f2677,f522]) ).
fof(f2681,definition,
! [X0,X1,X2,X3] :
( sQ304_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,[sQ304_spl])],[split_symbol_definition]) ).
fof(f2684,plain,
( ~ sQ10_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f2661,f2681,f522]) ).
fof(f2685,definition,
! [X0,X1] :
( sQ305_spl
<=> ( frontsegP(skaf68(X0),X1)
| ~ ssList(skaf68(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf68(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f2688,plain,
( ~ sQ10_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f2662,f2685,f522]) ).
fof(f2689,definition,
! [X0,X1] :
( sQ306_spl
<=> ( segmentP(app(app(skaf68(X1),nil),X0),nil)
| ~ ssList(app(skaf68(X1),X0))
| ~ ssList(skaf68(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f2692,plain,
( ~ sQ10_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f2663,f2689,f522]) ).
fof(f2693,definition,
! [X0,X1,X2] :
( sQ307_spl
<=> ( segmentP(app(skaf68(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf68(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f2696,plain,
( ~ sQ10_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f2664,f2693,f522]) ).
fof(f2703,plain,
! [X0] :
( app(skaf71(X0),nil) = skaf71(X0)
| ~ frontsegP(skaf71(X0),skaf71(X0))
| ~ ssList(skaf71(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1086,f1917]) ).
fof(f2704,plain,
! [X0] :
( frontsegP(skaf71(X0),skaf71(X0))
| ~ ssList(skaf71(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1086,f1751]) ).
fof(f2705,plain,
! [X0] :
( ssList(skaf71(X0))
| ~ ssList(skaf71(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1086,f285]) ).
fof(f2706,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)],[f1086,f659]) ).
fof(f2707,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)],[f1086,f658]) ).
fof(f2708,plain,
! [X0,X1] :
( frontsegP(skaf71(X0),X1)
| ~ ssList(skaf71(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf71(X0),X1) ),
inference(paramodulation,[status(thm)],[f1086,f351]) ).
fof(f2709,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)],[f1086,f501]) ).
fof(f2710,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)],[f1086,f404]) ).
fof(f2711,definition,
! [X0] :
( sQ308_spl
<=> ( app(skaf71(X0),nil) = skaf71(X0)
| ~ frontsegP(skaf71(X0),skaf71(X0))
| ~ ssList(skaf71(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f2714,plain,
( sQ308_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2703,f522,f2711]) ).
fof(f2715,definition,
! [X0] :
( sQ309_spl
<=> ( frontsegP(skaf71(X0),skaf71(X0))
| ~ ssList(skaf71(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f2718,plain,
( sQ309_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2704,f522,f2715]) ).
fof(f2719,definition,
! [X0] :
( sQ310_spl
<=> ( ssList(skaf71(X0))
| ~ ssList(skaf71(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f2722,plain,
( sQ310_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2705,f522,f2719]) ).
fof(f2723,definition,
! [X0,X1,X2] :
( sQ311_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,[sQ311_spl])],[split_symbol_definition]) ).
fof(f2726,plain,
( ~ sQ10_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f2706,f2723,f522]) ).
fof(f2727,definition,
! [X0,X1,X2,X3] :
( sQ312_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,[sQ312_spl])],[split_symbol_definition]) ).
fof(f2730,plain,
( ~ sQ10_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f2707,f2727,f522]) ).
fof(f2731,definition,
! [X0,X1] :
( sQ313_spl
<=> ( frontsegP(skaf71(X0),X1)
| ~ ssList(skaf71(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf71(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f2734,plain,
( ~ sQ10_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f2708,f2731,f522]) ).
fof(f2735,definition,
! [X0,X1] :
( sQ314_spl
<=> ( segmentP(app(app(skaf71(X1),nil),X0),nil)
| ~ ssList(app(skaf71(X1),X0))
| ~ ssList(skaf71(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f2738,plain,
( ~ sQ10_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f2709,f2735,f522]) ).
fof(f2739,definition,
! [X0,X1,X2] :
( sQ315_spl
<=> ( segmentP(app(skaf71(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf71(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f2742,plain,
( ~ sQ10_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f2710,f2739,f522]) ).
fof(f2749,plain,
! [X0] :
( app(skaf72(X0),nil) = skaf72(X0)
| ~ frontsegP(skaf72(X0),skaf72(X0))
| ~ ssList(skaf72(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1087,f1917]) ).
fof(f2750,plain,
! [X0] :
( frontsegP(skaf72(X0),skaf72(X0))
| ~ ssList(skaf72(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1087,f1751]) ).
fof(f2751,plain,
! [X0] :
( ssList(skaf72(X0))
| ~ ssList(skaf72(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1087,f285]) ).
fof(f2752,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)],[f1087,f659]) ).
fof(f2753,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)],[f1087,f658]) ).
fof(f2754,plain,
! [X0,X1] :
( frontsegP(skaf72(X0),X1)
| ~ ssList(skaf72(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf72(X0),X1) ),
inference(paramodulation,[status(thm)],[f1087,f351]) ).
fof(f2755,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)],[f1087,f501]) ).
fof(f2756,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)],[f1087,f404]) ).
fof(f2757,definition,
! [X0] :
( sQ316_spl
<=> ( app(skaf72(X0),nil) = skaf72(X0)
| ~ frontsegP(skaf72(X0),skaf72(X0))
| ~ ssList(skaf72(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f2760,plain,
( sQ316_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2749,f522,f2757]) ).
fof(f2761,definition,
! [X0] :
( sQ317_spl
<=> ( frontsegP(skaf72(X0),skaf72(X0))
| ~ ssList(skaf72(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f2764,plain,
( sQ317_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2750,f522,f2761]) ).
fof(f2765,definition,
! [X0] :
( sQ318_spl
<=> ( ssList(skaf72(X0))
| ~ ssList(skaf72(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f2768,plain,
( sQ318_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2751,f522,f2765]) ).
fof(f2769,definition,
! [X0,X1,X2] :
( sQ319_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,[sQ319_spl])],[split_symbol_definition]) ).
fof(f2772,plain,
( ~ sQ10_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f2752,f2769,f522]) ).
fof(f2773,definition,
! [X0,X1,X2,X3] :
( sQ320_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,[sQ320_spl])],[split_symbol_definition]) ).
fof(f2776,plain,
( ~ sQ10_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f2753,f2773,f522]) ).
fof(f2777,definition,
! [X0,X1] :
( sQ321_spl
<=> ( frontsegP(skaf72(X0),X1)
| ~ ssList(skaf72(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf72(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f2780,plain,
( ~ sQ10_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f2754,f2777,f522]) ).
fof(f2781,definition,
! [X0,X1] :
( sQ322_spl
<=> ( segmentP(app(app(skaf72(X1),nil),X0),nil)
| ~ ssList(app(skaf72(X1),X0))
| ~ ssList(skaf72(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f2784,plain,
( ~ sQ10_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f2755,f2781,f522]) ).
fof(f2785,definition,
! [X0,X1,X2] :
( sQ323_spl
<=> ( segmentP(app(skaf72(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf72(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f2788,plain,
( ~ sQ10_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f2756,f2785,f522]) ).
fof(f2852,plain,
! [X0,X1] :
( ~ sQ284_spl
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(sk3,X1)
| X0 = sk3
| ~ ssList(X0)
| ~ segmentP(X0,sk3) ),
inference(resolution,[status(thm)],[f2571,f374]) ).
fof(f2857,definition,
! [X0,X1] :
( sQ324_spl
<=> ( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(sk3,X1)
| X0 = sk3
| ~ ssList(X0)
| ~ segmentP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f2860,plain,
( ~ sQ284_spl
| ~ sQ13_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f2852,f2857,f559,f2570]) ).
fof(f2864,plain,
! [X0] :
( ~ sQ98_spl
| ~ ssList(nil)
| segmentP(app(nil,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1249,f255]) ).
fof(f2865,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(X2,X1)
| ~ segmentP(nil,X2)
| segmentP(app(nil,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1249,f374]) ).
fof(f2867,definition,
! [X0] :
( sQ325_spl
<=> ( segmentP(app(nil,X0),nil)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f2868,plain,
! [X0] :
( ~ sQ325_spl
| segmentP(app(nil,X0),nil)
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f2867]) ).
fof(f2871,plain,
( ~ sQ98_spl
| ~ sQ10_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f2864,f2867,f522,f1248]) ).
fof(f2872,definition,
! [X0,X1,X2] :
( sQ326_spl
<=> ( ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(X2,X1)
| ~ segmentP(nil,X2)
| segmentP(app(nil,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f2875,plain,
( ~ sQ98_spl
| ~ sQ10_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f2865,f2872,f522,f1248]) ).
fof(f2878,plain,
! [X0,X1] :
( ~ sQ325_spl
| nil = app(nil,X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(app(nil,X0))
| ~ segmentP(X1,app(nil,X0))
| ~ segmentP(nil,X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2868,f626]) ).
fof(f2879,plain,
! [X0,X1] :
( ~ sQ325_spl
| X1 = nil
| ~ segmentP(nil,X1)
| ~ ssList(X1)
| ~ ssList(app(nil,X0))
| ~ ssList(nil)
| ~ segmentP(X1,app(nil,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2868,f626]) ).
fof(f2880,plain,
! [X0,X1,X2] :
( ~ sQ325_spl
| ~ ssList(app(nil,X0))
| ~ segmentP(X2,app(nil,X0))
| segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(nil)
| ~ segmentP(X1,X2)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2868,f620]) ).
fof(f2881,plain,
! [X0,X1,X2] :
( ~ sQ325_spl
| ~ ssList(nil)
| ~ segmentP(nil,X2)
| segmentP(X1,X2)
| ~ ssList(X1)
| ~ ssList(app(nil,X0))
| ~ ssList(X2)
| ~ segmentP(X1,app(nil,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2868,f620]) ).
fof(f2882,plain,
! [X0,X1] :
( ~ sQ325_spl
| segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(app(nil,X0))
| ~ ssList(nil)
| ~ segmentP(X1,app(nil,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2868,f374]) ).
fof(f2883,plain,
! [X0] :
( ~ sQ325_spl
| app(nil,X0) = nil
| ~ ssList(app(nil,X0))
| ~ ssList(nil)
| ~ segmentP(nil,app(nil,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f2868,f339]) ).
fof(f2887,definition,
! [X0,X1] :
( sQ327_spl
<=> ( nil = app(nil,X0)
| ~ ssList(X1)
| ~ ssList(app(nil,X0))
| ~ segmentP(X1,app(nil,X0))
| ~ segmentP(nil,X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f2890,plain,
( ~ sQ325_spl
| ~ sQ10_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f2878,f2887,f522,f2867]) ).
fof(f2891,definition,
! [X0,X1] :
( sQ328_spl
<=> ( X1 = nil
| ~ segmentP(nil,X1)
| ~ ssList(X1)
| ~ ssList(app(nil,X0))
| ~ segmentP(X1,app(nil,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f2894,plain,
( ~ sQ325_spl
| ~ sQ10_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f2879,f2891,f522,f2867]) ).
fof(f2895,definition,
! [X0,X1,X2] :
( sQ329_spl
<=> ( ~ ssList(app(nil,X0))
| ~ segmentP(X2,app(nil,X0))
| segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f2898,plain,
( ~ sQ325_spl
| ~ sQ10_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f2880,f2895,f522,f2867]) ).
fof(f2899,definition,
! [X0,X1,X2] :
( sQ330_spl
<=> ( ~ segmentP(nil,X2)
| segmentP(X1,X2)
| ~ ssList(X1)
| ~ ssList(app(nil,X0))
| ~ ssList(X2)
| ~ segmentP(X1,app(nil,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).
fof(f2902,plain,
( ~ sQ325_spl
| ~ sQ10_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f2881,f2899,f522,f2867]) ).
fof(f2903,definition,
! [X0,X1] :
( sQ331_spl
<=> ( segmentP(X1,nil)
| ~ ssList(X1)
| ~ ssList(app(nil,X0))
| ~ segmentP(X1,app(nil,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition]) ).
fof(f2906,plain,
( ~ sQ325_spl
| ~ sQ10_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f2882,f2903,f522,f2867]) ).
fof(f2907,definition,
! [X0] :
( sQ332_spl
<=> ( app(nil,X0) = nil
| ~ ssList(app(nil,X0))
| ~ segmentP(nil,app(nil,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ332_spl])],[split_symbol_definition]) ).
fof(f2910,plain,
( ~ sQ325_spl
| ~ sQ10_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f2883,f2907,f522,f2867]) ).
fof(f3206,plain,
! [X0,X1,X2] :
( ~ sQ102_spl
| ~ ssList(sk3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(X2,X1)
| ~ segmentP(sk3,X2)
| segmentP(app(sk3,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1304,f374]) ).
fof(f3207,plain,
! [X0] :
( ~ sQ102_spl
| ~ ssList(sk3)
| segmentP(app(sk3,X0),sk3)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f1304,f256]) ).
fof(f3208,definition,
! [X0] :
( sQ373_spl
<=> ( segmentP(app(sk3,X0),sk3)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition]) ).
fof(f3214,definition,
! [X0,X1,X2] :
( sQ374_spl
<=> ( ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(X2,X1)
| ~ segmentP(sk3,X2)
| segmentP(app(sk3,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition]) ).
fof(f3217,plain,
( ~ sQ102_spl
| ~ sQ13_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f3206,f3214,f559,f1303]) ).
fof(f3218,plain,
( ~ sQ102_spl
| ~ sQ13_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f3207,f3208,f559,f1303]) ).
fof(f3393,definition,
( sQ391_spl
<=> ssList(skaf82(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ391_spl])],[split_symbol_definition]) ).
fof(f3395,plain,
( sQ391_spl
| ~ ssList(skaf82(sk3)) ),
inference(component_clause,[status(thm)],[f3393]) ).
fof(f3396,definition,
( sQ392_spl
<=> ssItem(skaf83(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ392_spl])],[split_symbol_definition]) ).
fof(f3398,plain,
( sQ392_spl
| ~ ssItem(skaf83(sk3)) ),
inference(component_clause,[status(thm)],[f3396]) ).
fof(f3457,plain,
( sQ392_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3398,f211]) ).
fof(f3458,plain,
sQ392_spl,
inference(contradiction_clause,[status(thm)],[f3457]) ).
fof(f3459,plain,
( sQ391_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3395,f212]) ).
fof(f3460,plain,
sQ391_spl,
inference(contradiction_clause,[status(thm)],[f3459]) ).
fof(f3477,plain,
! [X0,X1,X2] :
( app(X0,X2) = X1
| ~ frontsegP(X1,app(X0,X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f591,f285]) ).
fof(f3478,plain,
! [X0] :
( ~ sQ95_spl
| app(nil,X0) = nil
| ~ frontsegP(nil,app(nil,X0))
| ~ ssList(nil)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3477,f1252]) ).
fof(f3479,plain,
! [X0] :
( ~ sQ99_spl
| app(sk3,X0) = nil
| ~ frontsegP(nil,app(sk3,X0))
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3477,f1307]) ).
fof(f3480,plain,
! [X0] :
( ~ sQ75_spl
| app(sk3,X0) = sk3
| ~ frontsegP(sk3,app(sk3,X0))
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3477,f1116]) ).
fof(f3484,plain,
! [X0] :
( ~ sQ103_spl
| app(sk2,X0) = nil
| ~ frontsegP(nil,app(sk2,X0))
| ~ ssList(sk2)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3477,f1329]) ).
fof(f3485,plain,
! [X0] :
( ~ sQ79_spl
| app(sk2,X0) = sk2
| ~ frontsegP(sk2,app(sk2,X0))
| ~ ssList(sk2)
| ~ ssList(sk2)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3477,f1138]) ).
fof(f3487,plain,
! [X0,X1] :
( ~ ssList(X1)
| app(X1,X0) = nil
| ~ frontsegP(nil,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f3477,f259]) ).
fof(f3490,definition,
! [X0] :
( sQ407_spl
<=> ( app(nil,X0) = nil
| ~ frontsegP(nil,app(nil,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ407_spl])],[split_symbol_definition]) ).
fof(f3493,plain,
( ~ sQ95_spl
| ~ sQ10_spl
| sQ407_spl ),
inference(split_clause,[status(thm)],[f3478,f3490,f522,f1236]) ).
fof(f3494,definition,
! [X0] :
( sQ408_spl
<=> ( app(sk3,X0) = nil
| ~ frontsegP(nil,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ408_spl])],[split_symbol_definition]) ).
fof(f3497,plain,
( ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ10_spl
| sQ408_spl ),
inference(split_clause,[status(thm)],[f3479,f3494,f522,f559,f1291]) ).
fof(f3498,definition,
! [X0] :
( sQ409_spl
<=> ( app(sk3,X0) = sk3
| ~ frontsegP(sk3,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ409_spl])],[split_symbol_definition]) ).
fof(f3501,plain,
( ~ sQ75_spl
| ~ sQ13_spl
| sQ409_spl ),
inference(split_clause,[status(thm)],[f3480,f3498,f559,f1100]) ).
fof(f3507,definition,
! [X0] :
( sQ410_spl
<=> ( app(sk2,X0) = nil
| ~ frontsegP(nil,app(sk2,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ410_spl])],[split_symbol_definition]) ).
fof(f3510,plain,
( ~ sQ103_spl
| ~ sQ17_spl
| ~ sQ10_spl
| sQ410_spl ),
inference(split_clause,[status(thm)],[f3484,f3507,f522,f599,f1313]) ).
fof(f3511,definition,
! [X0] :
( sQ411_spl
<=> ( app(sk2,X0) = sk2
| ~ frontsegP(sk2,app(sk2,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ411_spl])],[split_symbol_definition]) ).
fof(f3514,plain,
( ~ sQ79_spl
| ~ sQ17_spl
| sQ411_spl ),
inference(split_clause,[status(thm)],[f3485,f3511,f599,f1122]) ).
fof(f3519,definition,
! [X0,X1] :
( sQ413_spl
<=> ( ~ ssList(X1)
| app(X1,X0) = nil
| ~ frontsegP(nil,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ413_spl])],[split_symbol_definition]) ).
fof(f3522,plain,
( ~ sQ10_spl
| sQ413_spl ),
inference(split_clause,[status(thm)],[f3487,f3519,f522]) ).
fof(f3598,definition,
( sQ416_spl
<=> ssList(skaf82(sk2)) ),
introduced(definition,[new_symbols(definition,[sQ416_spl])],[split_symbol_definition]) ).
fof(f3600,plain,
( sQ416_spl
| ~ ssList(skaf82(sk2)) ),
inference(component_clause,[status(thm)],[f3598]) ).
fof(f3601,definition,
( sQ417_spl
<=> ssItem(skaf83(sk2)) ),
introduced(definition,[new_symbols(definition,[sQ417_spl])],[split_symbol_definition]) ).
fof(f3603,plain,
( sQ417_spl
| ~ ssItem(skaf83(sk2)) ),
inference(component_clause,[status(thm)],[f3601]) ).
fof(f3666,plain,
( sQ417_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3603,f211]) ).
fof(f3667,plain,
sQ417_spl,
inference(contradiction_clause,[status(thm)],[f3666]) ).
fof(f3668,plain,
( sQ416_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3600,f212]) ).
fof(f3669,plain,
sQ416_spl,
inference(contradiction_clause,[status(thm)],[f3668]) ).
fof(f3676,plain,
! [X0,X1] :
( ~ sQ95_spl
| ~ ssList(nil)
| ~ frontsegP(nil,X1)
| frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(X0,nil) ),
inference(resolution,[status(thm)],[f928,f1252]) ).
fof(f3677,plain,
! [X0,X1] :
( ~ sQ99_spl
| ~ ssList(nil)
| ~ frontsegP(nil,X1)
| frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ frontsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f928,f1307]) ).
fof(f3679,plain,
! [X0,X1] :
( ~ sQ75_spl
| ~ ssList(sk3)
| ~ frontsegP(sk3,X1)
| frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ frontsegP(X0,sk3) ),
inference(resolution,[status(thm)],[f928,f1116]) ).
fof(f3685,plain,
! [X0,X1] :
( ~ sQ103_spl
| ~ ssList(nil)
| ~ frontsegP(nil,X1)
| frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(sk2)
| ~ ssList(X1)
| ~ frontsegP(X0,sk2) ),
inference(resolution,[status(thm)],[f928,f1329]) ).
fof(f3687,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ ssList(sk2)
| ~ frontsegP(sk2,X1)
| frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(sk2)
| ~ ssList(X1)
| ~ frontsegP(X0,sk2) ),
inference(resolution,[status(thm)],[f928,f1138]) ).
fof(f3689,plain,
! [X0] :
( ~ ssList(nil)
| ~ ssList(nil)
| frontsegP(X0,nil)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ frontsegP(X0,nil) ),
inference(resolution,[status(thm)],[f928,f259]) ).
fof(f3690,plain,
! [X0,X1,X2] :
( ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(nil,X2)
| frontsegP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f928,f259]) ).
fof(f3695,plain,
! [X0,X1] :
( ~ sQ95_spl
| ~ ssList(nil)
| ~ frontsegP(X1,nil)
| frontsegP(X0,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f928,f1252]) ).
fof(f3696,plain,
! [X0,X1] :
( ~ sQ99_spl
| ~ ssList(sk3)
| ~ frontsegP(X1,sk3)
| frontsegP(X0,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f928,f1307]) ).
fof(f3697,plain,
! [X0,X1] :
( ~ sQ75_spl
| ~ ssList(sk3)
| ~ frontsegP(X1,sk3)
| frontsegP(X0,sk3)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk3)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f928,f1116]) ).
fof(f3701,plain,
! [X0,X1] :
( ~ sQ103_spl
| ~ ssList(sk2)
| ~ frontsegP(X1,sk2)
| frontsegP(X0,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f928,f1329]) ).
fof(f3702,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ ssList(sk2)
| ~ frontsegP(X1,sk2)
| frontsegP(X0,sk2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk2)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f928,f1138]) ).
fof(f3704,plain,
! [X0,X1,X2] :
( ~ ssList(X2)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| frontsegP(X0,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(X0,X1) ),
inference(resolution,[status(thm)],[f928,f259]) ).
fof(f3708,definition,
! [X0,X1] :
( sQ433_spl
<=> ( ~ frontsegP(nil,X1)
| frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[sQ433_spl])],[split_symbol_definition]) ).
fof(f3711,plain,
( ~ sQ95_spl
| ~ sQ10_spl
| sQ433_spl ),
inference(split_clause,[status(thm)],[f3676,f3708,f522,f1236]) ).
fof(f3712,definition,
! [X0,X1] :
( sQ434_spl
<=> ( ~ frontsegP(nil,X1)
| frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ434_spl])],[split_symbol_definition]) ).
fof(f3715,plain,
( ~ sQ99_spl
| ~ sQ10_spl
| ~ sQ13_spl
| sQ434_spl ),
inference(split_clause,[status(thm)],[f3677,f3712,f559,f522,f1291]) ).
fof(f3717,definition,
! [X0,X1] :
( sQ435_spl
<=> ( ~ frontsegP(sk3,X1)
| frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ435_spl])],[split_symbol_definition]) ).
fof(f3720,plain,
( ~ sQ75_spl
| ~ sQ13_spl
| sQ435_spl ),
inference(split_clause,[status(thm)],[f3679,f3717,f559,f1100]) ).
fof(f3726,definition,
! [X0,X1] :
( sQ436_spl
<=> ( ~ frontsegP(nil,X1)
| frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,sk2) ) ),
introduced(definition,[new_symbols(definition,[sQ436_spl])],[split_symbol_definition]) ).
fof(f3729,plain,
( ~ sQ103_spl
| ~ sQ10_spl
| ~ sQ17_spl
| sQ436_spl ),
inference(split_clause,[status(thm)],[f3685,f3726,f599,f522,f1313]) ).
fof(f3731,definition,
! [X0,X1] :
( sQ437_spl
<=> ( ~ frontsegP(sk2,X1)
| frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,sk2) ) ),
introduced(definition,[new_symbols(definition,[sQ437_spl])],[split_symbol_definition]) ).
fof(f3734,plain,
( ~ sQ79_spl
| ~ sQ17_spl
| sQ437_spl ),
inference(split_clause,[status(thm)],[f3687,f3731,f599,f1122]) ).
fof(f3739,plain,
( ~ sQ10_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f3689,f1343,f522]) ).
fof(f3740,definition,
! [X0,X1,X2] :
( sQ439_spl
<=> ( ~ ssList(X1)
| ~ frontsegP(nil,X2)
| frontsegP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ439_spl])],[split_symbol_definition]) ).
fof(f3743,plain,
( ~ sQ10_spl
| sQ439_spl ),
inference(split_clause,[status(thm)],[f3690,f3740,f522]) ).
fof(f3746,definition,
! [X0,X1] :
( sQ440_spl
<=> ( ~ frontsegP(X1,nil)
| frontsegP(X0,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ440_spl])],[split_symbol_definition]) ).
fof(f3749,plain,
( ~ sQ95_spl
| ~ sQ10_spl
| sQ440_spl ),
inference(split_clause,[status(thm)],[f3695,f3746,f522,f1236]) ).
fof(f3750,definition,
! [X0,X1] :
( sQ441_spl
<=> ( ~ frontsegP(X1,sk3)
| frontsegP(X0,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ441_spl])],[split_symbol_definition]) ).
fof(f3753,plain,
( ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ10_spl
| sQ441_spl ),
inference(split_clause,[status(thm)],[f3696,f3750,f522,f559,f1291]) ).
fof(f3754,definition,
! [X0,X1] :
( sQ442_spl
<=> ( ~ frontsegP(X1,sk3)
| frontsegP(X0,sk3)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ442_spl])],[split_symbol_definition]) ).
fof(f3757,plain,
( ~ sQ75_spl
| ~ sQ13_spl
| sQ442_spl ),
inference(split_clause,[status(thm)],[f3697,f3754,f559,f1100]) ).
fof(f3763,definition,
! [X0,X1] :
( sQ443_spl
<=> ( ~ frontsegP(X1,sk2)
| frontsegP(X0,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ443_spl])],[split_symbol_definition]) ).
fof(f3766,plain,
( ~ sQ103_spl
| ~ sQ17_spl
| ~ sQ10_spl
| sQ443_spl ),
inference(split_clause,[status(thm)],[f3701,f3763,f522,f599,f1313]) ).
fof(f3767,definition,
! [X0,X1] :
( sQ444_spl
<=> ( ~ frontsegP(X1,sk2)
| frontsegP(X0,sk2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ444_spl])],[split_symbol_definition]) ).
fof(f3770,plain,
( ~ sQ79_spl
| ~ sQ17_spl
| sQ444_spl ),
inference(split_clause,[status(thm)],[f3702,f3767,f599,f1122]) ).
fof(f3775,definition,
! [X0,X1,X2] :
( sQ446_spl
<=> ( ~ ssList(X2)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| frontsegP(X0,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ446_spl])],[split_symbol_definition]) ).
fof(f3778,plain,
( ~ sQ10_spl
| sQ446_spl ),
inference(split_clause,[status(thm)],[f3704,f3775,f522]) ).
fof(f3784,plain,
! [X0] :
( app(skaf73(X0),nil) = skaf73(X0)
| ~ frontsegP(skaf73(X0),skaf73(X0))
| ~ ssList(skaf73(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1088,f1917]) ).
fof(f3785,plain,
! [X0] :
( frontsegP(skaf73(X0),skaf73(X0))
| ~ ssList(skaf73(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1088,f1751]) ).
fof(f3786,plain,
! [X0] :
( ssList(skaf73(X0))
| ~ ssList(skaf73(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1088,f285]) ).
fof(f3787,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)],[f1088,f659]) ).
fof(f3788,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)],[f1088,f658]) ).
fof(f3789,plain,
! [X0,X1] :
( frontsegP(skaf73(X0),X1)
| ~ ssList(skaf73(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf73(X0),X1) ),
inference(paramodulation,[status(thm)],[f1088,f351]) ).
fof(f3790,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)],[f1088,f501]) ).
fof(f3791,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)],[f1088,f404]) ).
fof(f3792,definition,
! [X0] :
( sQ447_spl
<=> ( app(skaf73(X0),nil) = skaf73(X0)
| ~ frontsegP(skaf73(X0),skaf73(X0))
| ~ ssList(skaf73(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ447_spl])],[split_symbol_definition]) ).
fof(f3795,plain,
( sQ447_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f3784,f522,f3792]) ).
fof(f3796,definition,
! [X0] :
( sQ448_spl
<=> ( frontsegP(skaf73(X0),skaf73(X0))
| ~ ssList(skaf73(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ448_spl])],[split_symbol_definition]) ).
fof(f3799,plain,
( sQ448_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f3785,f522,f3796]) ).
fof(f3800,definition,
! [X0] :
( sQ449_spl
<=> ( ssList(skaf73(X0))
| ~ ssList(skaf73(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ449_spl])],[split_symbol_definition]) ).
fof(f3803,plain,
( sQ449_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f3786,f522,f3800]) ).
fof(f3804,definition,
! [X0,X1,X2] :
( sQ450_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,[sQ450_spl])],[split_symbol_definition]) ).
fof(f3807,plain,
( ~ sQ10_spl
| sQ450_spl ),
inference(split_clause,[status(thm)],[f3787,f3804,f522]) ).
fof(f3808,definition,
! [X0,X1,X2,X3] :
( sQ451_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,[sQ451_spl])],[split_symbol_definition]) ).
fof(f3811,plain,
( ~ sQ10_spl
| sQ451_spl ),
inference(split_clause,[status(thm)],[f3788,f3808,f522]) ).
fof(f3812,definition,
! [X0,X1] :
( sQ452_spl
<=> ( frontsegP(skaf73(X0),X1)
| ~ ssList(skaf73(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf73(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ452_spl])],[split_symbol_definition]) ).
fof(f3815,plain,
( ~ sQ10_spl
| sQ452_spl ),
inference(split_clause,[status(thm)],[f3789,f3812,f522]) ).
fof(f3816,definition,
! [X0,X1] :
( sQ453_spl
<=> ( segmentP(app(app(skaf73(X1),nil),X0),nil)
| ~ ssList(app(skaf73(X1),X0))
| ~ ssList(skaf73(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ453_spl])],[split_symbol_definition]) ).
fof(f3819,plain,
( ~ sQ10_spl
| sQ453_spl ),
inference(split_clause,[status(thm)],[f3790,f3816,f522]) ).
fof(f3820,definition,
! [X0,X1,X2] :
( sQ454_spl
<=> ( segmentP(app(skaf73(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf73(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ454_spl])],[split_symbol_definition]) ).
fof(f3823,plain,
( ~ sQ10_spl
| sQ454_spl ),
inference(split_clause,[status(thm)],[f3791,f3820,f522]) ).
fof(f3830,plain,
! [X0] :
( app(skaf75(X0),nil) = skaf75(X0)
| ~ frontsegP(skaf75(X0),skaf75(X0))
| ~ ssList(skaf75(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1089,f1917]) ).
fof(f3831,plain,
! [X0] :
( frontsegP(skaf75(X0),skaf75(X0))
| ~ ssList(skaf75(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1089,f1751]) ).
fof(f3832,plain,
! [X0] :
( ssList(skaf75(X0))
| ~ ssList(skaf75(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1089,f285]) ).
fof(f3833,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)],[f1089,f659]) ).
fof(f3834,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)],[f1089,f658]) ).
fof(f3835,plain,
! [X0,X1] :
( frontsegP(skaf75(X0),X1)
| ~ ssList(skaf75(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf75(X0),X1) ),
inference(paramodulation,[status(thm)],[f1089,f351]) ).
fof(f3836,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)],[f1089,f501]) ).
fof(f3837,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)],[f1089,f404]) ).
fof(f3838,definition,
! [X0] :
( sQ455_spl
<=> ( app(skaf75(X0),nil) = skaf75(X0)
| ~ frontsegP(skaf75(X0),skaf75(X0))
| ~ ssList(skaf75(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ455_spl])],[split_symbol_definition]) ).
fof(f3841,plain,
( sQ455_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f3830,f522,f3838]) ).
fof(f3842,definition,
! [X0] :
( sQ456_spl
<=> ( frontsegP(skaf75(X0),skaf75(X0))
| ~ ssList(skaf75(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ456_spl])],[split_symbol_definition]) ).
fof(f3845,plain,
( sQ456_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f3831,f522,f3842]) ).
fof(f3846,definition,
! [X0] :
( sQ457_spl
<=> ( ssList(skaf75(X0))
| ~ ssList(skaf75(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ457_spl])],[split_symbol_definition]) ).
fof(f3849,plain,
( sQ457_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f3832,f522,f3846]) ).
fof(f3850,definition,
! [X0,X1,X2] :
( sQ458_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,[sQ458_spl])],[split_symbol_definition]) ).
fof(f3853,plain,
( ~ sQ10_spl
| sQ458_spl ),
inference(split_clause,[status(thm)],[f3833,f3850,f522]) ).
fof(f3854,definition,
! [X0,X1,X2,X3] :
( sQ459_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,[sQ459_spl])],[split_symbol_definition]) ).
fof(f3857,plain,
( ~ sQ10_spl
| sQ459_spl ),
inference(split_clause,[status(thm)],[f3834,f3854,f522]) ).
fof(f3858,definition,
! [X0,X1] :
( sQ460_spl
<=> ( frontsegP(skaf75(X0),X1)
| ~ ssList(skaf75(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf75(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ460_spl])],[split_symbol_definition]) ).
fof(f3861,plain,
( ~ sQ10_spl
| sQ460_spl ),
inference(split_clause,[status(thm)],[f3835,f3858,f522]) ).
fof(f3862,definition,
! [X0,X1] :
( sQ461_spl
<=> ( segmentP(app(app(skaf75(X1),nil),X0),nil)
| ~ ssList(app(skaf75(X1),X0))
| ~ ssList(skaf75(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ461_spl])],[split_symbol_definition]) ).
fof(f3865,plain,
( ~ sQ10_spl
| sQ461_spl ),
inference(split_clause,[status(thm)],[f3836,f3862,f522]) ).
fof(f3866,definition,
! [X0,X1,X2] :
( sQ462_spl
<=> ( segmentP(app(skaf75(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf75(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ462_spl])],[split_symbol_definition]) ).
fof(f3869,plain,
( ~ sQ10_spl
| sQ462_spl ),
inference(split_clause,[status(thm)],[f3837,f3866,f522]) ).
fof(f3876,plain,
! [X0] :
( app(skaf76(X0),nil) = skaf76(X0)
| ~ frontsegP(skaf76(X0),skaf76(X0))
| ~ ssList(skaf76(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1090,f1917]) ).
fof(f3877,plain,
! [X0] :
( frontsegP(skaf76(X0),skaf76(X0))
| ~ ssList(skaf76(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1090,f1751]) ).
fof(f3878,plain,
! [X0] :
( ssList(skaf76(X0))
| ~ ssList(skaf76(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1090,f285]) ).
fof(f3879,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)],[f1090,f659]) ).
fof(f3880,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)],[f1090,f658]) ).
fof(f3881,plain,
! [X0,X1] :
( frontsegP(skaf76(X0),X1)
| ~ ssList(skaf76(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf76(X0),X1) ),
inference(paramodulation,[status(thm)],[f1090,f351]) ).
fof(f3882,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)],[f1090,f501]) ).
fof(f3883,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)],[f1090,f404]) ).
fof(f3884,definition,
! [X0] :
( sQ463_spl
<=> ( app(skaf76(X0),nil) = skaf76(X0)
| ~ frontsegP(skaf76(X0),skaf76(X0))
| ~ ssList(skaf76(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ463_spl])],[split_symbol_definition]) ).
fof(f3887,plain,
( sQ463_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f3876,f522,f3884]) ).
fof(f3888,definition,
! [X0] :
( sQ464_spl
<=> ( frontsegP(skaf76(X0),skaf76(X0))
| ~ ssList(skaf76(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ464_spl])],[split_symbol_definition]) ).
fof(f3891,plain,
( sQ464_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f3877,f522,f3888]) ).
fof(f3892,definition,
! [X0] :
( sQ465_spl
<=> ( ssList(skaf76(X0))
| ~ ssList(skaf76(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ465_spl])],[split_symbol_definition]) ).
fof(f3895,plain,
( sQ465_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f3878,f522,f3892]) ).
fof(f3896,definition,
! [X0,X1,X2] :
( sQ466_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,[sQ466_spl])],[split_symbol_definition]) ).
fof(f3899,plain,
( ~ sQ10_spl
| sQ466_spl ),
inference(split_clause,[status(thm)],[f3879,f3896,f522]) ).
fof(f3900,definition,
! [X0,X1,X2,X3] :
( sQ467_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,[sQ467_spl])],[split_symbol_definition]) ).
fof(f3903,plain,
( ~ sQ10_spl
| sQ467_spl ),
inference(split_clause,[status(thm)],[f3880,f3900,f522]) ).
fof(f3904,definition,
! [X0,X1] :
( sQ468_spl
<=> ( frontsegP(skaf76(X0),X1)
| ~ ssList(skaf76(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf76(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ468_spl])],[split_symbol_definition]) ).
fof(f3907,plain,
( ~ sQ10_spl
| sQ468_spl ),
inference(split_clause,[status(thm)],[f3881,f3904,f522]) ).
fof(f3908,definition,
! [X0,X1] :
( sQ469_spl
<=> ( segmentP(app(app(skaf76(X1),nil),X0),nil)
| ~ ssList(app(skaf76(X1),X0))
| ~ ssList(skaf76(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ469_spl])],[split_symbol_definition]) ).
fof(f3911,plain,
( ~ sQ10_spl
| sQ469_spl ),
inference(split_clause,[status(thm)],[f3882,f3908,f522]) ).
fof(f3912,definition,
! [X0,X1,X2] :
( sQ470_spl
<=> ( segmentP(app(skaf76(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf76(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ470_spl])],[split_symbol_definition]) ).
fof(f3915,plain,
( ~ sQ10_spl
| sQ470_spl ),
inference(split_clause,[status(thm)],[f3883,f3912,f522]) ).
fof(f4283,plain,
! [X0,X1,X2,X3] :
( frontsegP(X3,X1)
| ~ ssList(X3)
| ~ frontsegP(X3,app(X0,X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f993,f285]) ).
fof(f4284,plain,
! [X0,X1] :
( ~ sQ95_spl
| frontsegP(X1,nil)
| ~ ssList(X1)
| ~ frontsegP(X1,app(nil,X0))
| ~ ssList(nil)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f4283,f1252]) ).
fof(f4285,plain,
! [X0,X1] :
( ~ sQ99_spl
| frontsegP(X1,nil)
| ~ ssList(X1)
| ~ frontsegP(X1,app(sk3,X0))
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f4283,f1307]) ).
fof(f4286,plain,
! [X0,X1] :
( ~ sQ75_spl
| frontsegP(X1,sk3)
| ~ ssList(X1)
| ~ frontsegP(X1,app(sk3,X0))
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f4283,f1116]) ).
fof(f4290,plain,
! [X0,X1] :
( ~ sQ103_spl
| frontsegP(X1,nil)
| ~ ssList(X1)
| ~ frontsegP(X1,app(sk2,X0))
| ~ ssList(sk2)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f4283,f1329]) ).
fof(f4291,plain,
! [X0,X1] :
( ~ sQ79_spl
| frontsegP(X1,sk2)
| ~ ssList(X1)
| ~ frontsegP(X1,app(sk2,X0))
| ~ ssList(sk2)
| ~ ssList(sk2)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f4283,f1138]) ).
fof(f4293,plain,
! [X0,X1,X2] :
( ~ ssList(X1)
| frontsegP(X2,nil)
| ~ ssList(X2)
| ~ frontsegP(X2,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f4283,f259]) ).
fof(f4296,definition,
! [X0,X1] :
( sQ510_spl
<=> ( frontsegP(X1,nil)
| ~ ssList(X1)
| ~ frontsegP(X1,app(nil,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ510_spl])],[split_symbol_definition]) ).
fof(f4299,plain,
( ~ sQ95_spl
| ~ sQ10_spl
| sQ510_spl ),
inference(split_clause,[status(thm)],[f4284,f4296,f522,f1236]) ).
fof(f4300,definition,
! [X0,X1] :
( sQ511_spl
<=> ( frontsegP(X1,nil)
| ~ ssList(X1)
| ~ frontsegP(X1,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ511_spl])],[split_symbol_definition]) ).
fof(f4303,plain,
( ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ10_spl
| sQ511_spl ),
inference(split_clause,[status(thm)],[f4285,f4300,f522,f559,f1291]) ).
fof(f4304,definition,
! [X0,X1] :
( sQ512_spl
<=> ( frontsegP(X1,sk3)
| ~ ssList(X1)
| ~ frontsegP(X1,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ512_spl])],[split_symbol_definition]) ).
fof(f4307,plain,
( ~ sQ75_spl
| ~ sQ13_spl
| sQ512_spl ),
inference(split_clause,[status(thm)],[f4286,f4304,f559,f1100]) ).
fof(f4313,definition,
! [X0,X1] :
( sQ513_spl
<=> ( frontsegP(X1,nil)
| ~ ssList(X1)
| ~ frontsegP(X1,app(sk2,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ513_spl])],[split_symbol_definition]) ).
fof(f4316,plain,
( ~ sQ103_spl
| ~ sQ17_spl
| ~ sQ10_spl
| sQ513_spl ),
inference(split_clause,[status(thm)],[f4290,f4313,f522,f599,f1313]) ).
fof(f4317,definition,
! [X0,X1] :
( sQ514_spl
<=> ( frontsegP(X1,sk2)
| ~ ssList(X1)
| ~ frontsegP(X1,app(sk2,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ514_spl])],[split_symbol_definition]) ).
fof(f4320,plain,
( ~ sQ79_spl
| ~ sQ17_spl
| sQ514_spl ),
inference(split_clause,[status(thm)],[f4291,f4317,f599,f1122]) ).
fof(f4325,definition,
! [X0,X1,X2] :
( sQ516_spl
<=> ( ~ ssList(X1)
| frontsegP(X2,nil)
| ~ ssList(X2)
| ~ frontsegP(X2,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ516_spl])],[split_symbol_definition]) ).
fof(f4328,plain,
( ~ sQ10_spl
| sQ516_spl ),
inference(split_clause,[status(thm)],[f4293,f4325,f522]) ).
fof(f4336,plain,
! [X0] :
( app(skaf77(X0),nil) = skaf77(X0)
| ~ frontsegP(skaf77(X0),skaf77(X0))
| ~ ssList(skaf77(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1091,f1917]) ).
fof(f4337,plain,
! [X0] :
( frontsegP(skaf77(X0),skaf77(X0))
| ~ ssList(skaf77(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1091,f1751]) ).
fof(f4338,plain,
! [X0] :
( ssList(skaf77(X0))
| ~ ssList(skaf77(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1091,f285]) ).
fof(f4339,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)],[f1091,f659]) ).
fof(f4340,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)],[f1091,f658]) ).
fof(f4341,plain,
! [X0,X1] :
( frontsegP(skaf77(X0),X1)
| ~ ssList(skaf77(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf77(X0),X1) ),
inference(paramodulation,[status(thm)],[f1091,f351]) ).
fof(f4342,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)],[f1091,f501]) ).
fof(f4343,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)],[f1091,f404]) ).
fof(f4344,definition,
! [X0] :
( sQ517_spl
<=> ( app(skaf77(X0),nil) = skaf77(X0)
| ~ frontsegP(skaf77(X0),skaf77(X0))
| ~ ssList(skaf77(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ517_spl])],[split_symbol_definition]) ).
fof(f4347,plain,
( sQ517_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4336,f522,f4344]) ).
fof(f4348,definition,
! [X0] :
( sQ518_spl
<=> ( frontsegP(skaf77(X0),skaf77(X0))
| ~ ssList(skaf77(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ518_spl])],[split_symbol_definition]) ).
fof(f4351,plain,
( sQ518_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4337,f522,f4348]) ).
fof(f4352,definition,
! [X0] :
( sQ519_spl
<=> ( ssList(skaf77(X0))
| ~ ssList(skaf77(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ519_spl])],[split_symbol_definition]) ).
fof(f4355,plain,
( sQ519_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4338,f522,f4352]) ).
fof(f4356,definition,
! [X0,X1,X2] :
( sQ520_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,[sQ520_spl])],[split_symbol_definition]) ).
fof(f4359,plain,
( ~ sQ10_spl
| sQ520_spl ),
inference(split_clause,[status(thm)],[f4339,f4356,f522]) ).
fof(f4360,definition,
! [X0,X1,X2,X3] :
( sQ521_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,[sQ521_spl])],[split_symbol_definition]) ).
fof(f4363,plain,
( ~ sQ10_spl
| sQ521_spl ),
inference(split_clause,[status(thm)],[f4340,f4360,f522]) ).
fof(f4364,definition,
! [X0,X1] :
( sQ522_spl
<=> ( frontsegP(skaf77(X0),X1)
| ~ ssList(skaf77(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf77(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ522_spl])],[split_symbol_definition]) ).
fof(f4367,plain,
( ~ sQ10_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f4341,f4364,f522]) ).
fof(f4368,definition,
! [X0,X1] :
( sQ523_spl
<=> ( segmentP(app(app(skaf77(X1),nil),X0),nil)
| ~ ssList(app(skaf77(X1),X0))
| ~ ssList(skaf77(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ523_spl])],[split_symbol_definition]) ).
fof(f4371,plain,
( ~ sQ10_spl
| sQ523_spl ),
inference(split_clause,[status(thm)],[f4342,f4368,f522]) ).
fof(f4372,definition,
! [X0,X1,X2] :
( sQ524_spl
<=> ( segmentP(app(skaf77(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf77(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ524_spl])],[split_symbol_definition]) ).
fof(f4375,plain,
( ~ sQ10_spl
| sQ524_spl ),
inference(split_clause,[status(thm)],[f4343,f4372,f522]) ).
fof(f4382,plain,
! [X0] :
( app(skaf80(X0),nil) = skaf80(X0)
| ~ frontsegP(skaf80(X0),skaf80(X0))
| ~ ssList(skaf80(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1092,f1917]) ).
fof(f4383,plain,
! [X0] :
( frontsegP(skaf80(X0),skaf80(X0))
| ~ ssList(skaf80(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1092,f1751]) ).
fof(f4384,plain,
! [X0] :
( ssList(skaf80(X0))
| ~ ssList(skaf80(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1092,f285]) ).
fof(f4385,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)],[f1092,f659]) ).
fof(f4386,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)],[f1092,f658]) ).
fof(f4387,plain,
! [X0,X1] :
( frontsegP(skaf80(X0),X1)
| ~ ssList(skaf80(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf80(X0),X1) ),
inference(paramodulation,[status(thm)],[f1092,f351]) ).
fof(f4388,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)],[f1092,f501]) ).
fof(f4389,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)],[f1092,f404]) ).
fof(f4390,definition,
! [X0] :
( sQ525_spl
<=> ( app(skaf80(X0),nil) = skaf80(X0)
| ~ frontsegP(skaf80(X0),skaf80(X0))
| ~ ssList(skaf80(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ525_spl])],[split_symbol_definition]) ).
fof(f4393,plain,
( sQ525_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4382,f522,f4390]) ).
fof(f4394,definition,
! [X0] :
( sQ526_spl
<=> ( frontsegP(skaf80(X0),skaf80(X0))
| ~ ssList(skaf80(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ526_spl])],[split_symbol_definition]) ).
fof(f4397,plain,
( sQ526_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4383,f522,f4394]) ).
fof(f4398,definition,
! [X0] :
( sQ527_spl
<=> ( ssList(skaf80(X0))
| ~ ssList(skaf80(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ527_spl])],[split_symbol_definition]) ).
fof(f4401,plain,
( sQ527_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4384,f522,f4398]) ).
fof(f4402,definition,
! [X0,X1,X2] :
( sQ528_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,[sQ528_spl])],[split_symbol_definition]) ).
fof(f4405,plain,
( ~ sQ10_spl
| sQ528_spl ),
inference(split_clause,[status(thm)],[f4385,f4402,f522]) ).
fof(f4406,definition,
! [X0,X1,X2,X3] :
( sQ529_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,[sQ529_spl])],[split_symbol_definition]) ).
fof(f4409,plain,
( ~ sQ10_spl
| sQ529_spl ),
inference(split_clause,[status(thm)],[f4386,f4406,f522]) ).
fof(f4410,definition,
! [X0,X1] :
( sQ530_spl
<=> ( frontsegP(skaf80(X0),X1)
| ~ ssList(skaf80(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf80(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ530_spl])],[split_symbol_definition]) ).
fof(f4413,plain,
( ~ sQ10_spl
| sQ530_spl ),
inference(split_clause,[status(thm)],[f4387,f4410,f522]) ).
fof(f4414,definition,
! [X0,X1] :
( sQ531_spl
<=> ( segmentP(app(app(skaf80(X1),nil),X0),nil)
| ~ ssList(app(skaf80(X1),X0))
| ~ ssList(skaf80(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ531_spl])],[split_symbol_definition]) ).
fof(f4417,plain,
( ~ sQ10_spl
| sQ531_spl ),
inference(split_clause,[status(thm)],[f4388,f4414,f522]) ).
fof(f4418,definition,
! [X0,X1,X2] :
( sQ532_spl
<=> ( segmentP(app(skaf80(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf80(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ532_spl])],[split_symbol_definition]) ).
fof(f4421,plain,
( ~ sQ10_spl
| sQ532_spl ),
inference(split_clause,[status(thm)],[f4389,f4418,f522]) ).
fof(f4428,plain,
! [X0] :
( hd(skaf80(X0)) = hd(skaf80(X0))
| nil = skaf80(X0)
| ~ ssList(skaf80(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1092,f333]) ).
fof(f4429,plain,
! [X0] :
( hd(skaf77(X0)) = hd(skaf77(X0))
| nil = skaf77(X0)
| ~ ssList(skaf77(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1091,f333]) ).
fof(f4430,plain,
! [X0] :
( hd(skaf76(X0)) = hd(skaf76(X0))
| nil = skaf76(X0)
| ~ ssList(skaf76(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1090,f333]) ).
fof(f4431,plain,
! [X0] :
( hd(skaf75(X0)) = hd(skaf75(X0))
| nil = skaf75(X0)
| ~ ssList(skaf75(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1089,f333]) ).
fof(f4432,plain,
! [X0] :
( hd(skaf73(X0)) = hd(skaf73(X0))
| nil = skaf73(X0)
| ~ ssList(skaf73(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1088,f333]) ).
fof(f4433,plain,
! [X0] :
( hd(skaf72(X0)) = hd(skaf72(X0))
| nil = skaf72(X0)
| ~ ssList(skaf72(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1087,f333]) ).
fof(f4434,plain,
! [X0] :
( hd(skaf71(X0)) = hd(skaf71(X0))
| nil = skaf71(X0)
| ~ ssList(skaf71(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1086,f333]) ).
fof(f4435,plain,
! [X0] :
( hd(skaf68(X0)) = hd(skaf68(X0))
| nil = skaf68(X0)
| ~ ssList(skaf68(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1085,f333]) ).
fof(f4436,plain,
! [X0] :
( hd(skaf67(X0)) = hd(skaf67(X0))
| nil = skaf67(X0)
| ~ ssList(skaf67(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1084,f333]) ).
fof(f4437,plain,
! [X0] :
( hd(skaf66(X0)) = hd(skaf66(X0))
| nil = skaf66(X0)
| ~ ssList(skaf66(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1083,f333]) ).
fof(f4438,plain,
! [X0] :
( hd(skaf63(X0)) = hd(skaf63(X0))
| nil = skaf63(X0)
| ~ ssList(skaf63(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1081,f333]) ).
fof(f4439,plain,
! [X0] :
( hd(skaf62(X0)) = hd(skaf62(X0))
| nil = skaf62(X0)
| ~ ssList(skaf62(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1080,f333]) ).
fof(f4440,plain,
! [X0] :
( hd(skaf61(X0)) = hd(skaf61(X0))
| nil = skaf61(X0)
| ~ ssList(skaf61(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1079,f333]) ).
fof(f4441,plain,
! [X0] :
( hd(skaf58(X0)) = hd(skaf58(X0))
| nil = skaf58(X0)
| ~ ssList(skaf58(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1078,f333]) ).
fof(f4442,plain,
! [X0] :
( hd(skaf57(X0)) = hd(skaf57(X0))
| nil = skaf57(X0)
| ~ ssList(skaf57(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1077,f333]) ).
fof(f4443,plain,
! [X0] :
( hd(skaf56(X0)) = hd(skaf56(X0))
| nil = skaf56(X0)
| ~ ssList(skaf56(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1076,f333]) ).
fof(f4444,plain,
! [X0] :
( hd(skaf53(X0)) = hd(skaf53(X0))
| nil = skaf53(X0)
| ~ ssList(skaf53(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1075,f333]) ).
fof(f4445,plain,
! [X0] :
( hd(skaf52(X0)) = hd(skaf52(X0))
| nil = skaf52(X0)
| ~ ssList(skaf52(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1073,f333]) ).
fof(f4446,plain,
! [X0] :
( hd(skaf51(X0)) = hd(skaf51(X0))
| nil = skaf51(X0)
| ~ ssList(skaf51(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1072,f333]) ).
fof(f4452,definition,
! [X0] :
( sQ533_spl
<=> ( hd(skaf80(X0)) = hd(skaf80(X0))
| nil = skaf80(X0)
| ~ ssList(skaf80(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ533_spl])],[split_symbol_definition]) ).
fof(f4455,plain,
( sQ533_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4428,f522,f4452]) ).
fof(f4456,definition,
! [X0] :
( sQ534_spl
<=> ( hd(skaf77(X0)) = hd(skaf77(X0))
| nil = skaf77(X0)
| ~ ssList(skaf77(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ534_spl])],[split_symbol_definition]) ).
fof(f4459,plain,
( sQ534_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4429,f522,f4456]) ).
fof(f4460,definition,
! [X0] :
( sQ535_spl
<=> ( hd(skaf76(X0)) = hd(skaf76(X0))
| nil = skaf76(X0)
| ~ ssList(skaf76(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ535_spl])],[split_symbol_definition]) ).
fof(f4463,plain,
( sQ535_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4430,f522,f4460]) ).
fof(f4464,definition,
! [X0] :
( sQ536_spl
<=> ( hd(skaf75(X0)) = hd(skaf75(X0))
| nil = skaf75(X0)
| ~ ssList(skaf75(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ536_spl])],[split_symbol_definition]) ).
fof(f4467,plain,
( sQ536_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4431,f522,f4464]) ).
fof(f4468,definition,
! [X0] :
( sQ537_spl
<=> ( hd(skaf73(X0)) = hd(skaf73(X0))
| nil = skaf73(X0)
| ~ ssList(skaf73(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ537_spl])],[split_symbol_definition]) ).
fof(f4471,plain,
( sQ537_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4432,f522,f4468]) ).
fof(f4472,definition,
! [X0] :
( sQ538_spl
<=> ( hd(skaf72(X0)) = hd(skaf72(X0))
| nil = skaf72(X0)
| ~ ssList(skaf72(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ538_spl])],[split_symbol_definition]) ).
fof(f4475,plain,
( sQ538_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4433,f522,f4472]) ).
fof(f4476,definition,
! [X0] :
( sQ539_spl
<=> ( hd(skaf71(X0)) = hd(skaf71(X0))
| nil = skaf71(X0)
| ~ ssList(skaf71(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ539_spl])],[split_symbol_definition]) ).
fof(f4479,plain,
( sQ539_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4434,f522,f4476]) ).
fof(f4480,definition,
! [X0] :
( sQ540_spl
<=> ( hd(skaf68(X0)) = hd(skaf68(X0))
| nil = skaf68(X0)
| ~ ssList(skaf68(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ540_spl])],[split_symbol_definition]) ).
fof(f4483,plain,
( sQ540_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4435,f522,f4480]) ).
fof(f4484,definition,
! [X0] :
( sQ541_spl
<=> ( hd(skaf67(X0)) = hd(skaf67(X0))
| nil = skaf67(X0)
| ~ ssList(skaf67(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ541_spl])],[split_symbol_definition]) ).
fof(f4487,plain,
( sQ541_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4436,f522,f4484]) ).
fof(f4488,definition,
! [X0] :
( sQ542_spl
<=> ( hd(skaf66(X0)) = hd(skaf66(X0))
| nil = skaf66(X0)
| ~ ssList(skaf66(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ542_spl])],[split_symbol_definition]) ).
fof(f4491,plain,
( sQ542_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4437,f522,f4488]) ).
fof(f4492,definition,
! [X0] :
( sQ543_spl
<=> ( hd(skaf63(X0)) = hd(skaf63(X0))
| nil = skaf63(X0)
| ~ ssList(skaf63(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ543_spl])],[split_symbol_definition]) ).
fof(f4495,plain,
( sQ543_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4438,f522,f4492]) ).
fof(f4496,definition,
! [X0] :
( sQ544_spl
<=> ( hd(skaf62(X0)) = hd(skaf62(X0))
| nil = skaf62(X0)
| ~ ssList(skaf62(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ544_spl])],[split_symbol_definition]) ).
fof(f4499,plain,
( sQ544_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4439,f522,f4496]) ).
fof(f4500,definition,
! [X0] :
( sQ545_spl
<=> ( hd(skaf61(X0)) = hd(skaf61(X0))
| nil = skaf61(X0)
| ~ ssList(skaf61(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ545_spl])],[split_symbol_definition]) ).
fof(f4503,plain,
( sQ545_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4440,f522,f4500]) ).
fof(f4504,definition,
! [X0] :
( sQ546_spl
<=> ( hd(skaf58(X0)) = hd(skaf58(X0))
| nil = skaf58(X0)
| ~ ssList(skaf58(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ546_spl])],[split_symbol_definition]) ).
fof(f4507,plain,
( sQ546_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4441,f522,f4504]) ).
fof(f4508,definition,
! [X0] :
( sQ547_spl
<=> ( hd(skaf57(X0)) = hd(skaf57(X0))
| nil = skaf57(X0)
| ~ ssList(skaf57(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ547_spl])],[split_symbol_definition]) ).
fof(f4511,plain,
( sQ547_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4442,f522,f4508]) ).
fof(f4512,definition,
! [X0] :
( sQ548_spl
<=> ( hd(skaf56(X0)) = hd(skaf56(X0))
| nil = skaf56(X0)
| ~ ssList(skaf56(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ548_spl])],[split_symbol_definition]) ).
fof(f4515,plain,
( sQ548_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4443,f522,f4512]) ).
fof(f4516,definition,
! [X0] :
( sQ549_spl
<=> ( hd(skaf53(X0)) = hd(skaf53(X0))
| nil = skaf53(X0)
| ~ ssList(skaf53(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ549_spl])],[split_symbol_definition]) ).
fof(f4519,plain,
( sQ549_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4444,f522,f4516]) ).
fof(f4520,definition,
! [X0] :
( sQ550_spl
<=> ( hd(skaf52(X0)) = hd(skaf52(X0))
| nil = skaf52(X0)
| ~ ssList(skaf52(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ550_spl])],[split_symbol_definition]) ).
fof(f4523,plain,
( sQ550_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4445,f522,f4520]) ).
fof(f4524,definition,
! [X0] :
( sQ551_spl
<=> ( hd(skaf51(X0)) = hd(skaf51(X0))
| nil = skaf51(X0)
| ~ ssList(skaf51(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ551_spl])],[split_symbol_definition]) ).
fof(f4527,plain,
( sQ551_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4446,f522,f4524]) ).
fof(f4591,plain,
! [X0] :
( hd(skaf81(X0)) = hd(skaf81(X0))
| nil = skaf81(X0)
| ~ ssList(skaf81(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1093,f333]) ).
fof(f4592,plain,
! [X0] :
( app(skaf81(X0),nil) = skaf81(X0)
| ~ frontsegP(skaf81(X0),skaf81(X0))
| ~ ssList(skaf81(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1093,f1917]) ).
fof(f4593,plain,
! [X0] :
( frontsegP(skaf81(X0),skaf81(X0))
| ~ ssList(skaf81(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1093,f1751]) ).
fof(f4594,plain,
! [X0] :
( ssList(skaf81(X0))
| ~ ssList(skaf81(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1093,f285]) ).
fof(f4595,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)],[f1093,f659]) ).
fof(f4596,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)],[f1093,f658]) ).
fof(f4597,plain,
! [X0,X1] :
( frontsegP(skaf81(X0),X1)
| ~ ssList(skaf81(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf81(X0),X1) ),
inference(paramodulation,[status(thm)],[f1093,f351]) ).
fof(f4598,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)],[f1093,f501]) ).
fof(f4599,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)],[f1093,f404]) ).
fof(f4600,definition,
! [X0] :
( sQ559_spl
<=> ( hd(skaf81(X0)) = hd(skaf81(X0))
| nil = skaf81(X0)
| ~ ssList(skaf81(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ559_spl])],[split_symbol_definition]) ).
fof(f4603,plain,
( sQ559_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4591,f522,f4600]) ).
fof(f4604,definition,
! [X0] :
( sQ560_spl
<=> ( app(skaf81(X0),nil) = skaf81(X0)
| ~ frontsegP(skaf81(X0),skaf81(X0))
| ~ ssList(skaf81(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ560_spl])],[split_symbol_definition]) ).
fof(f4607,plain,
( sQ560_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4592,f522,f4604]) ).
fof(f4608,definition,
! [X0] :
( sQ561_spl
<=> ( frontsegP(skaf81(X0),skaf81(X0))
| ~ ssList(skaf81(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ561_spl])],[split_symbol_definition]) ).
fof(f4611,plain,
( sQ561_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4593,f522,f4608]) ).
fof(f4612,definition,
! [X0] :
( sQ562_spl
<=> ( ssList(skaf81(X0))
| ~ ssList(skaf81(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ562_spl])],[split_symbol_definition]) ).
fof(f4615,plain,
( sQ562_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4594,f522,f4612]) ).
fof(f4616,definition,
! [X0,X1,X2] :
( sQ563_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,[sQ563_spl])],[split_symbol_definition]) ).
fof(f4619,plain,
( ~ sQ10_spl
| sQ563_spl ),
inference(split_clause,[status(thm)],[f4595,f4616,f522]) ).
fof(f4620,definition,
! [X0,X1,X2,X3] :
( sQ564_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,[sQ564_spl])],[split_symbol_definition]) ).
fof(f4623,plain,
( ~ sQ10_spl
| sQ564_spl ),
inference(split_clause,[status(thm)],[f4596,f4620,f522]) ).
fof(f4624,definition,
! [X0,X1] :
( sQ565_spl
<=> ( frontsegP(skaf81(X0),X1)
| ~ ssList(skaf81(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf81(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ565_spl])],[split_symbol_definition]) ).
fof(f4627,plain,
( ~ sQ10_spl
| sQ565_spl ),
inference(split_clause,[status(thm)],[f4597,f4624,f522]) ).
fof(f4628,definition,
! [X0,X1] :
( sQ566_spl
<=> ( segmentP(app(app(skaf81(X1),nil),X0),nil)
| ~ ssList(app(skaf81(X1),X0))
| ~ ssList(skaf81(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ566_spl])],[split_symbol_definition]) ).
fof(f4631,plain,
( ~ sQ10_spl
| sQ566_spl ),
inference(split_clause,[status(thm)],[f4598,f4628,f522]) ).
fof(f4632,definition,
! [X0,X1,X2] :
( sQ567_spl
<=> ( segmentP(app(skaf81(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf81(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ567_spl])],[split_symbol_definition]) ).
fof(f4635,plain,
( ~ sQ10_spl
| sQ567_spl ),
inference(split_clause,[status(thm)],[f4599,f4632,f522]) ).
fof(f4642,plain,
! [X0] :
( hd(skaf82(X0)) = hd(skaf82(X0))
| nil = skaf82(X0)
| ~ ssList(skaf82(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1094,f333]) ).
fof(f4643,plain,
! [X0] :
( app(skaf82(X0),nil) = skaf82(X0)
| ~ frontsegP(skaf82(X0),skaf82(X0))
| ~ ssList(skaf82(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1094,f1917]) ).
fof(f4644,plain,
! [X0] :
( frontsegP(skaf82(X0),skaf82(X0))
| ~ ssList(skaf82(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1094,f1751]) ).
fof(f4645,plain,
! [X0] :
( ssList(skaf82(X0))
| ~ ssList(skaf82(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1094,f285]) ).
fof(f4646,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)],[f1094,f659]) ).
fof(f4647,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)],[f1094,f658]) ).
fof(f4648,plain,
! [X0,X1] :
( frontsegP(skaf82(X0),X1)
| ~ ssList(skaf82(X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(skaf82(X0),X1) ),
inference(paramodulation,[status(thm)],[f1094,f351]) ).
fof(f4649,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)],[f1094,f501]) ).
fof(f4650,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)],[f1094,f404]) ).
fof(f4651,definition,
! [X0] :
( sQ568_spl
<=> ( hd(skaf82(X0)) = hd(skaf82(X0))
| nil = skaf82(X0)
| ~ ssList(skaf82(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ568_spl])],[split_symbol_definition]) ).
fof(f4654,plain,
( sQ568_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4642,f522,f4651]) ).
fof(f4655,definition,
! [X0] :
( sQ569_spl
<=> ( app(skaf82(X0),nil) = skaf82(X0)
| ~ frontsegP(skaf82(X0),skaf82(X0))
| ~ ssList(skaf82(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ569_spl])],[split_symbol_definition]) ).
fof(f4658,plain,
( sQ569_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4643,f522,f4655]) ).
fof(f4659,definition,
! [X0] :
( sQ570_spl
<=> ( frontsegP(skaf82(X0),skaf82(X0))
| ~ ssList(skaf82(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ570_spl])],[split_symbol_definition]) ).
fof(f4662,plain,
( sQ570_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4644,f522,f4659]) ).
fof(f4663,definition,
! [X0] :
( sQ571_spl
<=> ( ssList(skaf82(X0))
| ~ ssList(skaf82(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ571_spl])],[split_symbol_definition]) ).
fof(f4666,plain,
( sQ571_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4645,f522,f4663]) ).
fof(f4667,definition,
! [X0,X1,X2] :
( sQ572_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,[sQ572_spl])],[split_symbol_definition]) ).
fof(f4670,plain,
( ~ sQ10_spl
| sQ572_spl ),
inference(split_clause,[status(thm)],[f4646,f4667,f522]) ).
fof(f4671,definition,
! [X0,X1,X2,X3] :
( sQ573_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,[sQ573_spl])],[split_symbol_definition]) ).
fof(f4674,plain,
( ~ sQ10_spl
| sQ573_spl ),
inference(split_clause,[status(thm)],[f4647,f4671,f522]) ).
fof(f4675,definition,
! [X0,X1] :
( sQ574_spl
<=> ( frontsegP(skaf82(X0),X1)
| ~ ssList(skaf82(X0))
| ~ ssList(X1)
| ~ frontsegP(skaf82(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ574_spl])],[split_symbol_definition]) ).
fof(f4678,plain,
( ~ sQ10_spl
| sQ574_spl ),
inference(split_clause,[status(thm)],[f4648,f4675,f522]) ).
fof(f4679,definition,
! [X0,X1] :
( sQ575_spl
<=> ( segmentP(app(app(skaf82(X1),nil),X0),nil)
| ~ ssList(app(skaf82(X1),X0))
| ~ ssList(skaf82(X1))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ575_spl])],[split_symbol_definition]) ).
fof(f4682,plain,
( ~ sQ10_spl
| sQ575_spl ),
inference(split_clause,[status(thm)],[f4649,f4679,f522]) ).
fof(f4683,definition,
! [X0,X1,X2] :
( sQ576_spl
<=> ( segmentP(app(skaf82(X2),X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf82(X2))
| ~ ssList(X1)
| ~ segmentP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ576_spl])],[split_symbol_definition]) ).
fof(f4686,plain,
( ~ sQ10_spl
| sQ576_spl ),
inference(split_clause,[status(thm)],[f4650,f4683,f522]) ).
fof(f4695,plain,
! [X0] :
( app(nil,skaf51(X0)) = nil
| ~ frontsegP(nil,skaf51(X0))
| ~ ssList(nil)
| ~ ssList(skaf51(X0)) ),
inference(paramodulation,[status(thm)],[f1260,f1917]) ).
fof(f4696,plain,
! [X0] :
( frontsegP(skaf51(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf51(X0)) ),
inference(paramodulation,[status(thm)],[f1260,f1751]) ).
fof(f4698,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)],[f1260,f659]) ).
fof(f4699,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)],[f1260,f658]) ).
fof(f4700,plain,
! [X0,X1] :
( frontsegP(skaf51(X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ~ frontsegP(nil,X0) ),
inference(paramodulation,[status(thm)],[f1260,f351]) ).
fof(f4701,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)],[f1260,f501]) ).
fof(f4702,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)],[f1260,f404]) ).
fof(f4707,definition,
! [X0] :
( sQ578_spl
<=> ( app(nil,skaf51(X0)) = nil
| ~ frontsegP(nil,skaf51(X0))
| ~ ssList(skaf51(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ578_spl])],[split_symbol_definition]) ).
fof(f4710,plain,
( ~ sQ10_spl
| sQ578_spl ),
inference(split_clause,[status(thm)],[f4695,f4707,f522]) ).
fof(f4711,definition,
! [X0] :
( sQ579_spl
<=> ( frontsegP(skaf51(X0),nil)
| ~ ssList(skaf51(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ579_spl])],[split_symbol_definition]) ).
fof(f4714,plain,
( ~ sQ10_spl
| sQ579_spl ),
inference(split_clause,[status(thm)],[f4696,f4711,f522]) ).
fof(f4716,definition,
! [X0,X1,X2] :
( sQ580_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,[sQ580_spl])],[split_symbol_definition]) ).
fof(f4719,plain,
( ~ sQ10_spl
| sQ580_spl ),
inference(split_clause,[status(thm)],[f4698,f4716,f522]) ).
fof(f4720,definition,
! [X0,X1,X2,X3] :
( sQ581_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,[sQ581_spl])],[split_symbol_definition]) ).
fof(f4723,plain,
( ~ sQ10_spl
| sQ581_spl ),
inference(split_clause,[status(thm)],[f4699,f4720,f522]) ).
fof(f4724,definition,
! [X0,X1] :
( sQ582_spl
<=> ( frontsegP(skaf51(X1),X0)
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ~ frontsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ582_spl])],[split_symbol_definition]) ).
fof(f4727,plain,
( ~ sQ10_spl
| sQ582_spl ),
inference(split_clause,[status(thm)],[f4700,f4724,f522]) ).
fof(f4728,definition,
! [X0,X1] :
( sQ583_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,[sQ583_spl])],[split_symbol_definition]) ).
fof(f4731,plain,
( ~ sQ10_spl
| sQ583_spl ),
inference(split_clause,[status(thm)],[f4701,f4728,f522]) ).
fof(f4732,definition,
! [X0,X1,X2] :
( sQ584_spl
<=> ( segmentP(app(skaf51(X0),X2),X1)
| ~ ssList(skaf51(X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(skaf51(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ584_spl])],[split_symbol_definition]) ).
fof(f4735,plain,
( ~ sQ10_spl
| sQ584_spl ),
inference(split_clause,[status(thm)],[f4702,f4732,f522]) ).
fof(f4749,plain,
! [X0] :
( ~ ssList(X0)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(nil)
| ~ rearsegP(nil,X0) ),
inference(resolution,[status(thm)],[f340,f257]) ).
fof(f4751,definition,
! [X0] :
( sQ585_spl
<=> ( ~ ssList(X0)
| X0 = nil
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ585_spl])],[split_symbol_definition]) ).
fof(f4754,plain,
( ~ sQ10_spl
| sQ585_spl ),
inference(split_clause,[status(thm)],[f4749,f4751,f522]) ).
fof(f4861,plain,
! [X0] :
( ~ ssList(X0)
| app(skaf46(X0,nil),nil) = X0
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f343,f257]) ).
fof(f4863,definition,
! [X0] :
( sQ592_spl
<=> ( ~ ssList(X0)
| app(skaf46(X0,nil),nil) = X0
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ592_spl])],[split_symbol_definition]) ).
fof(f4866,plain,
( sQ592_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4861,f522,f4863]) ).
fof(f4869,plain,
( ~ sQ95_spl
| app(nil,skaf45(nil,nil)) = nil
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f344,f1252]) ).
fof(f4870,plain,
( ~ sQ99_spl
| app(nil,skaf45(sk3,nil)) = sk3
| ~ ssList(sk3)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f344,f1307]) ).
fof(f4871,plain,
( ~ sQ75_spl
| app(sk3,skaf45(sk3,sk3)) = sk3
| ~ ssList(sk3)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f344,f1116]) ).
fof(f4875,plain,
( ~ sQ103_spl
| app(nil,skaf45(sk2,nil)) = sk2
| ~ ssList(sk2)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f344,f1329]) ).
fof(f4876,plain,
( ~ sQ79_spl
| app(sk2,skaf45(sk2,sk2)) = sk2
| ~ ssList(sk2)
| ~ ssList(sk2) ),
inference(resolution,[status(thm)],[f344,f1138]) ).
fof(f4877,plain,
( ~ sQ8_spl
| app(sk3,skaf45(sk2,sk3)) = sk2
| ~ ssList(sk2)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f344,f637]) ).
fof(f4878,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,skaf45(X0,nil)) = X0
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f344,f259]) ).
fof(f4881,definition,
( sQ593_spl
<=> app(nil,skaf45(nil,nil)) = nil ),
introduced(definition,[new_symbols(definition,[sQ593_spl])],[split_symbol_definition]) ).
fof(f4884,plain,
( ~ sQ95_spl
| sQ593_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4869,f522,f4881,f1236]) ).
fof(f4885,definition,
( sQ594_spl
<=> app(nil,skaf45(sk3,nil)) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ594_spl])],[split_symbol_definition]) ).
fof(f4888,plain,
( ~ sQ99_spl
| sQ594_spl
| ~ sQ13_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4870,f522,f559,f4885,f1291]) ).
fof(f4889,definition,
( sQ595_spl
<=> app(sk3,skaf45(sk3,sk3)) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ595_spl])],[split_symbol_definition]) ).
fof(f4892,plain,
( ~ sQ75_spl
| sQ595_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f4871,f559,f4889,f1100]) ).
fof(f4898,definition,
( sQ596_spl
<=> app(nil,skaf45(sk2,nil)) = sk2 ),
introduced(definition,[new_symbols(definition,[sQ596_spl])],[split_symbol_definition]) ).
fof(f4901,plain,
( ~ sQ103_spl
| sQ596_spl
| ~ sQ17_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4875,f522,f599,f4898,f1313]) ).
fof(f4902,definition,
( sQ597_spl
<=> app(sk2,skaf45(sk2,sk2)) = sk2 ),
introduced(definition,[new_symbols(definition,[sQ597_spl])],[split_symbol_definition]) ).
fof(f4905,plain,
( ~ sQ79_spl
| sQ597_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4876,f599,f4902,f1122]) ).
fof(f4906,definition,
( sQ598_spl
<=> app(sk3,skaf45(sk2,sk3)) = sk2 ),
introduced(definition,[new_symbols(definition,[sQ598_spl])],[split_symbol_definition]) ).
fof(f4907,plain,
( ~ sQ598_spl
| app(sk3,skaf45(sk2,sk3)) = sk2 ),
inference(component_clause,[status(thm)],[f4906]) ).
fof(f4909,plain,
( ~ sQ8_spl
| sQ598_spl
| ~ sQ17_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f4877,f559,f599,f4906,f474]) ).
fof(f4910,definition,
! [X0] :
( sQ599_spl
<=> ( ~ ssList(X0)
| app(nil,skaf45(X0,nil)) = X0
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ599_spl])],[split_symbol_definition]) ).
fof(f4913,plain,
( sQ599_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4878,f522,f4910]) ).
fof(f5082,plain,
! [X0,X1] :
( ~ ssList(X1)
| rearsegP(app(X0,X1),nil)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f350,f257]) ).
fof(f5084,definition,
! [X0,X1] :
( sQ618_spl
<=> ( ~ ssList(X1)
| rearsegP(app(X0,X1),nil)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ618_spl])],[split_symbol_definition]) ).
fof(f5087,plain,
( ~ sQ10_spl
| sQ618_spl ),
inference(split_clause,[status(thm)],[f5082,f5084,f522]) ).
fof(f5195,plain,
( ~ sQ32_spl
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f705,f255]) ).
fof(f5199,plain,
( ~ sQ32_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f5195,f522,f700]) ).
fof(f5414,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f497,f285]) ).
fof(f5418,plain,
! [X0] :
( rearsegP(skaf82(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf82(X0)) ),
inference(paramodulation,[status(thm)],[f1094,f5414]) ).
fof(f5419,plain,
! [X0] :
( rearsegP(skaf81(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf81(X0)) ),
inference(paramodulation,[status(thm)],[f1093,f5414]) ).
fof(f5420,plain,
! [X0] :
( rearsegP(skaf80(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf80(X0)) ),
inference(paramodulation,[status(thm)],[f1092,f5414]) ).
fof(f5421,plain,
! [X0] :
( rearsegP(skaf77(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf77(X0)) ),
inference(paramodulation,[status(thm)],[f1091,f5414]) ).
fof(f5422,plain,
! [X0] :
( rearsegP(skaf76(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf76(X0)) ),
inference(paramodulation,[status(thm)],[f1090,f5414]) ).
fof(f5423,plain,
! [X0] :
( rearsegP(skaf75(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf75(X0)) ),
inference(paramodulation,[status(thm)],[f1089,f5414]) ).
fof(f5424,plain,
! [X0] :
( rearsegP(skaf73(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf73(X0)) ),
inference(paramodulation,[status(thm)],[f1088,f5414]) ).
fof(f5425,plain,
! [X0] :
( rearsegP(skaf72(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf72(X0)) ),
inference(paramodulation,[status(thm)],[f1087,f5414]) ).
fof(f5426,plain,
! [X0] :
( rearsegP(skaf71(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf71(X0)) ),
inference(paramodulation,[status(thm)],[f1086,f5414]) ).
fof(f5427,plain,
! [X0] :
( rearsegP(skaf68(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf68(X0)) ),
inference(paramodulation,[status(thm)],[f1085,f5414]) ).
fof(f5428,plain,
! [X0] :
( rearsegP(skaf67(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf67(X0)) ),
inference(paramodulation,[status(thm)],[f1084,f5414]) ).
fof(f5429,plain,
! [X0] :
( rearsegP(skaf66(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf66(X0)) ),
inference(paramodulation,[status(thm)],[f1083,f5414]) ).
fof(f5430,plain,
! [X0] :
( rearsegP(skaf63(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf63(X0)) ),
inference(paramodulation,[status(thm)],[f1081,f5414]) ).
fof(f5431,plain,
! [X0] :
( rearsegP(skaf62(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf62(X0)) ),
inference(paramodulation,[status(thm)],[f1080,f5414]) ).
fof(f5432,plain,
! [X0] :
( rearsegP(skaf61(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf61(X0)) ),
inference(paramodulation,[status(thm)],[f1079,f5414]) ).
fof(f5433,plain,
! [X0] :
( rearsegP(skaf58(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf58(X0)) ),
inference(paramodulation,[status(thm)],[f1078,f5414]) ).
fof(f5434,plain,
! [X0] :
( rearsegP(skaf57(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf57(X0)) ),
inference(paramodulation,[status(thm)],[f1077,f5414]) ).
fof(f5435,plain,
! [X0] :
( rearsegP(skaf56(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf56(X0)) ),
inference(paramodulation,[status(thm)],[f1076,f5414]) ).
fof(f5436,plain,
! [X0] :
( rearsegP(skaf53(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf53(X0)) ),
inference(paramodulation,[status(thm)],[f1075,f5414]) ).
fof(f5437,plain,
! [X0] :
( rearsegP(skaf52(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf52(X0)) ),
inference(paramodulation,[status(thm)],[f1073,f5414]) ).
fof(f5438,plain,
! [X0] :
( rearsegP(skaf51(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf51(X0)) ),
inference(paramodulation,[status(thm)],[f1072,f5414]) ).
fof(f5439,plain,
! [X0] :
( rearsegP(skaf51(X0),skaf51(X0))
| ~ ssList(skaf51(X0))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1260,f5414]) ).
fof(f5440,plain,
( rearsegP(sk2,sk2)
| ~ ssList(sk2)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1270,f5414]) ).
fof(f5441,plain,
( rearsegP(sk3,sk3)
| ~ ssList(sk3)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1262,f5414]) ).
fof(f5442,plain,
( rearsegP(nil,nil)
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f1095,f5414]) ).
fof(f5443,plain,
( rearsegP(sk2,nil)
| ~ ssList(nil)
| ~ ssList(sk2) ),
inference(paramodulation,[status(thm)],[f1082,f5414]) ).
fof(f5444,plain,
( rearsegP(sk3,nil)
| ~ ssList(nil)
| ~ ssList(sk3) ),
inference(paramodulation,[status(thm)],[f1074,f5414]) ).
fof(f5451,definition,
! [X0] :
( sQ654_spl
<=> ( rearsegP(skaf82(X0),nil)
| ~ ssList(skaf82(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ654_spl])],[split_symbol_definition]) ).
fof(f5454,plain,
( ~ sQ10_spl
| sQ654_spl ),
inference(split_clause,[status(thm)],[f5418,f5451,f522]) ).
fof(f5455,definition,
! [X0] :
( sQ655_spl
<=> ( rearsegP(skaf81(X0),nil)
| ~ ssList(skaf81(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ655_spl])],[split_symbol_definition]) ).
fof(f5458,plain,
( ~ sQ10_spl
| sQ655_spl ),
inference(split_clause,[status(thm)],[f5419,f5455,f522]) ).
fof(f5459,definition,
! [X0] :
( sQ656_spl
<=> ( rearsegP(skaf80(X0),nil)
| ~ ssList(skaf80(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ656_spl])],[split_symbol_definition]) ).
fof(f5462,plain,
( ~ sQ10_spl
| sQ656_spl ),
inference(split_clause,[status(thm)],[f5420,f5459,f522]) ).
fof(f5463,definition,
! [X0] :
( sQ657_spl
<=> ( rearsegP(skaf77(X0),nil)
| ~ ssList(skaf77(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ657_spl])],[split_symbol_definition]) ).
fof(f5466,plain,
( ~ sQ10_spl
| sQ657_spl ),
inference(split_clause,[status(thm)],[f5421,f5463,f522]) ).
fof(f5467,definition,
! [X0] :
( sQ658_spl
<=> ( rearsegP(skaf76(X0),nil)
| ~ ssList(skaf76(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ658_spl])],[split_symbol_definition]) ).
fof(f5470,plain,
( ~ sQ10_spl
| sQ658_spl ),
inference(split_clause,[status(thm)],[f5422,f5467,f522]) ).
fof(f5471,definition,
! [X0] :
( sQ659_spl
<=> ( rearsegP(skaf75(X0),nil)
| ~ ssList(skaf75(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ659_spl])],[split_symbol_definition]) ).
fof(f5474,plain,
( ~ sQ10_spl
| sQ659_spl ),
inference(split_clause,[status(thm)],[f5423,f5471,f522]) ).
fof(f5475,definition,
! [X0] :
( sQ660_spl
<=> ( rearsegP(skaf73(X0),nil)
| ~ ssList(skaf73(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ660_spl])],[split_symbol_definition]) ).
fof(f5478,plain,
( ~ sQ10_spl
| sQ660_spl ),
inference(split_clause,[status(thm)],[f5424,f5475,f522]) ).
fof(f5479,definition,
! [X0] :
( sQ661_spl
<=> ( rearsegP(skaf72(X0),nil)
| ~ ssList(skaf72(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ661_spl])],[split_symbol_definition]) ).
fof(f5482,plain,
( ~ sQ10_spl
| sQ661_spl ),
inference(split_clause,[status(thm)],[f5425,f5479,f522]) ).
fof(f5483,definition,
! [X0] :
( sQ662_spl
<=> ( rearsegP(skaf71(X0),nil)
| ~ ssList(skaf71(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ662_spl])],[split_symbol_definition]) ).
fof(f5486,plain,
( ~ sQ10_spl
| sQ662_spl ),
inference(split_clause,[status(thm)],[f5426,f5483,f522]) ).
fof(f5487,definition,
! [X0] :
( sQ663_spl
<=> ( rearsegP(skaf68(X0),nil)
| ~ ssList(skaf68(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ663_spl])],[split_symbol_definition]) ).
fof(f5490,plain,
( ~ sQ10_spl
| sQ663_spl ),
inference(split_clause,[status(thm)],[f5427,f5487,f522]) ).
fof(f5491,definition,
! [X0] :
( sQ664_spl
<=> ( rearsegP(skaf67(X0),nil)
| ~ ssList(skaf67(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ664_spl])],[split_symbol_definition]) ).
fof(f5494,plain,
( ~ sQ10_spl
| sQ664_spl ),
inference(split_clause,[status(thm)],[f5428,f5491,f522]) ).
fof(f5495,definition,
! [X0] :
( sQ665_spl
<=> ( rearsegP(skaf66(X0),nil)
| ~ ssList(skaf66(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ665_spl])],[split_symbol_definition]) ).
fof(f5498,plain,
( ~ sQ10_spl
| sQ665_spl ),
inference(split_clause,[status(thm)],[f5429,f5495,f522]) ).
fof(f5499,definition,
! [X0] :
( sQ666_spl
<=> ( rearsegP(skaf63(X0),nil)
| ~ ssList(skaf63(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ666_spl])],[split_symbol_definition]) ).
fof(f5502,plain,
( ~ sQ10_spl
| sQ666_spl ),
inference(split_clause,[status(thm)],[f5430,f5499,f522]) ).
fof(f5503,definition,
! [X0] :
( sQ667_spl
<=> ( rearsegP(skaf62(X0),nil)
| ~ ssList(skaf62(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ667_spl])],[split_symbol_definition]) ).
fof(f5506,plain,
( ~ sQ10_spl
| sQ667_spl ),
inference(split_clause,[status(thm)],[f5431,f5503,f522]) ).
fof(f5507,definition,
! [X0] :
( sQ668_spl
<=> ( rearsegP(skaf61(X0),nil)
| ~ ssList(skaf61(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ668_spl])],[split_symbol_definition]) ).
fof(f5510,plain,
( ~ sQ10_spl
| sQ668_spl ),
inference(split_clause,[status(thm)],[f5432,f5507,f522]) ).
fof(f5511,definition,
! [X0] :
( sQ669_spl
<=> ( rearsegP(skaf58(X0),nil)
| ~ ssList(skaf58(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ669_spl])],[split_symbol_definition]) ).
fof(f5514,plain,
( ~ sQ10_spl
| sQ669_spl ),
inference(split_clause,[status(thm)],[f5433,f5511,f522]) ).
fof(f5515,definition,
! [X0] :
( sQ670_spl
<=> ( rearsegP(skaf57(X0),nil)
| ~ ssList(skaf57(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ670_spl])],[split_symbol_definition]) ).
fof(f5518,plain,
( ~ sQ10_spl
| sQ670_spl ),
inference(split_clause,[status(thm)],[f5434,f5515,f522]) ).
fof(f5519,definition,
! [X0] :
( sQ671_spl
<=> ( rearsegP(skaf56(X0),nil)
| ~ ssList(skaf56(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ671_spl])],[split_symbol_definition]) ).
fof(f5522,plain,
( ~ sQ10_spl
| sQ671_spl ),
inference(split_clause,[status(thm)],[f5435,f5519,f522]) ).
fof(f5523,definition,
! [X0] :
( sQ672_spl
<=> ( rearsegP(skaf53(X0),nil)
| ~ ssList(skaf53(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ672_spl])],[split_symbol_definition]) ).
fof(f5526,plain,
( ~ sQ10_spl
| sQ672_spl ),
inference(split_clause,[status(thm)],[f5436,f5523,f522]) ).
fof(f5527,definition,
! [X0] :
( sQ673_spl
<=> ( rearsegP(skaf52(X0),nil)
| ~ ssList(skaf52(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ673_spl])],[split_symbol_definition]) ).
fof(f5530,plain,
( ~ sQ10_spl
| sQ673_spl ),
inference(split_clause,[status(thm)],[f5437,f5527,f522]) ).
fof(f5531,definition,
! [X0] :
( sQ674_spl
<=> ( rearsegP(skaf51(X0),nil)
| ~ ssList(skaf51(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ674_spl])],[split_symbol_definition]) ).
fof(f5534,plain,
( ~ sQ10_spl
| sQ674_spl ),
inference(split_clause,[status(thm)],[f5438,f5531,f522]) ).
fof(f5535,definition,
! [X0] :
( sQ675_spl
<=> ( rearsegP(skaf51(X0),skaf51(X0))
| ~ ssList(skaf51(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ675_spl])],[split_symbol_definition]) ).
fof(f5538,plain,
( sQ675_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f5439,f522,f5535]) ).
fof(f5539,definition,
( sQ676_spl
<=> rearsegP(sk2,sk2) ),
introduced(definition,[new_symbols(definition,[sQ676_spl])],[split_symbol_definition]) ).
fof(f5540,plain,
( ~ sQ676_spl
| rearsegP(sk2,sk2) ),
inference(component_clause,[status(thm)],[f5539]) ).
fof(f5542,plain,
( sQ676_spl
| ~ sQ17_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f5440,f522,f599,f5539]) ).
fof(f5543,definition,
( sQ677_spl
<=> rearsegP(sk3,sk3) ),
introduced(definition,[new_symbols(definition,[sQ677_spl])],[split_symbol_definition]) ).
fof(f5544,plain,
( ~ sQ677_spl
| rearsegP(sk3,sk3) ),
inference(component_clause,[status(thm)],[f5543]) ).
fof(f5546,plain,
( sQ677_spl
| ~ sQ13_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f5441,f522,f559,f5543]) ).
fof(f5547,definition,
( sQ678_spl
<=> rearsegP(nil,nil) ),
introduced(definition,[new_symbols(definition,[sQ678_spl])],[split_symbol_definition]) ).
fof(f5548,plain,
( ~ sQ678_spl
| rearsegP(nil,nil) ),
inference(component_clause,[status(thm)],[f5547]) ).
fof(f5550,plain,
( sQ678_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f5442,f522,f5547]) ).
fof(f5551,definition,
( sQ679_spl
<=> rearsegP(sk2,nil) ),
introduced(definition,[new_symbols(definition,[sQ679_spl])],[split_symbol_definition]) ).
fof(f5552,plain,
( ~ sQ679_spl
| rearsegP(sk2,nil) ),
inference(component_clause,[status(thm)],[f5551]) ).
fof(f5554,plain,
( sQ679_spl
| ~ sQ10_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f5443,f599,f522,f5551]) ).
fof(f5555,definition,
( sQ680_spl
<=> rearsegP(sk3,nil) ),
introduced(definition,[new_symbols(definition,[sQ680_spl])],[split_symbol_definition]) ).
fof(f5558,plain,
( sQ680_spl
| ~ sQ10_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f5444,f559,f522,f5555]) ).
fof(f5610,plain,
! [X0] :
( ~ sQ676_spl
| rearsegP(app(X0,sk2),sk2)
| ~ ssList(sk2)
| ~ ssList(sk2)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f5540,f350]) ).
fof(f5611,plain,
( ~ sQ676_spl
| app(skaf46(sk2,sk2),sk2) = sk2
| ~ ssList(sk2)
| ~ ssList(sk2) ),
inference(resolution,[status(thm)],[f5540,f343]) ).
fof(f5613,definition,
! [X0] :
( sQ690_spl
<=> ( rearsegP(app(X0,sk2),sk2)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ690_spl])],[split_symbol_definition]) ).
fof(f5616,plain,
( ~ sQ676_spl
| ~ sQ17_spl
| sQ690_spl ),
inference(split_clause,[status(thm)],[f5610,f5613,f599,f5539]) ).
fof(f5617,definition,
( sQ691_spl
<=> app(skaf46(sk2,sk2),sk2) = sk2 ),
introduced(definition,[new_symbols(definition,[sQ691_spl])],[split_symbol_definition]) ).
fof(f5620,plain,
( ~ sQ676_spl
| sQ691_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f5611,f599,f5617,f5539]) ).
fof(f5622,plain,
! [X0] :
( ~ sQ677_spl
| rearsegP(app(X0,sk3),sk3)
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f5544,f350]) ).
fof(f5623,plain,
( ~ sQ677_spl
| app(skaf46(sk3,sk3),sk3) = sk3
| ~ ssList(sk3)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f5544,f343]) ).
fof(f5625,definition,
! [X0] :
( sQ692_spl
<=> ( rearsegP(app(X0,sk3),sk3)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ692_spl])],[split_symbol_definition]) ).
fof(f5628,plain,
( ~ sQ677_spl
| ~ sQ13_spl
| sQ692_spl ),
inference(split_clause,[status(thm)],[f5622,f5625,f559,f5543]) ).
fof(f5629,definition,
( sQ693_spl
<=> app(skaf46(sk3,sk3),sk3) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ693_spl])],[split_symbol_definition]) ).
fof(f5632,plain,
( ~ sQ677_spl
| sQ693_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f5623,f559,f5629,f5543]) ).
fof(f5635,plain,
! [X0] :
( ~ sQ678_spl
| rearsegP(app(X0,nil),nil)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f5548,f350]) ).
fof(f5636,plain,
( ~ sQ678_spl
| app(skaf46(nil,nil),nil) = nil
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f5548,f343]) ).
fof(f5639,definition,
! [X0] :
( sQ694_spl
<=> ( rearsegP(app(X0,nil),nil)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ694_spl])],[split_symbol_definition]) ).
fof(f5642,plain,
( ~ sQ678_spl
| ~ sQ10_spl
| sQ694_spl ),
inference(split_clause,[status(thm)],[f5635,f5639,f522,f5547]) ).
fof(f5643,definition,
( sQ695_spl
<=> app(skaf46(nil,nil),nil) = nil ),
introduced(definition,[new_symbols(definition,[sQ695_spl])],[split_symbol_definition]) ).
fof(f5646,plain,
( ~ sQ678_spl
| sQ695_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f5636,f522,f5643,f5547]) ).
fof(f5648,plain,
! [X0] :
( ~ sQ679_spl
| rearsegP(app(X0,sk2),nil)
| ~ ssList(sk2)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f5552,f350]) ).
fof(f5649,plain,
( ~ sQ679_spl
| app(skaf46(sk2,nil),nil) = sk2
| ~ ssList(sk2)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f5552,f343]) ).
fof(f5651,definition,
! [X0] :
( sQ696_spl
<=> ( rearsegP(app(X0,sk2),nil)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ696_spl])],[split_symbol_definition]) ).
fof(f5654,plain,
( ~ sQ679_spl
| ~ sQ17_spl
| ~ sQ10_spl
| sQ696_spl ),
inference(split_clause,[status(thm)],[f5648,f5651,f522,f599,f5551]) ).
fof(f5655,definition,
( sQ697_spl
<=> app(skaf46(sk2,nil),nil) = sk2 ),
introduced(definition,[new_symbols(definition,[sQ697_spl])],[split_symbol_definition]) ).
fof(f5658,plain,
( ~ sQ679_spl
| sQ697_spl
| ~ sQ17_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f5649,f522,f599,f5655,f5551]) ).
fof(f5663,plain,
( ~ sQ598_spl
| ~ sQ279_spl
| segmentP(sk2,sk3)
| ~ ssList(skaf45(sk2,sk3)) ),
inference(paramodulation,[status(thm)],[f4907,f2525]) ).
fof(f5675,definition,
( sQ699_spl
<=> ssList(skaf45(sk2,sk3)) ),
introduced(definition,[new_symbols(definition,[sQ699_spl])],[split_symbol_definition]) ).
fof(f5677,plain,
( sQ699_spl
| ~ ssList(skaf45(sk2,sk3)) ),
inference(component_clause,[status(thm)],[f5675]) ).
fof(f5678,plain,
( ~ sQ598_spl
| ~ sQ279_spl
| sQ39_spl
| ~ sQ699_spl ),
inference(split_clause,[status(thm)],[f5663,f5675,f740,f2517,f4906]) ).
fof(f5714,plain,
( sQ699_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5677,f250]) ).
fof(f5715,plain,
sQ699_spl,
inference(contradiction_clause,[status(thm)],[f5714]) ).
fof(f5716,plain,
$false,
inference(sat_refutation,[status(thm)],[f461,f465,f473,f477,f482,f519,f528,f531,f562,f565,f576,f583,f587,f588,f608,f619,f624,f634,f699,f726,f743,f761,f768,f831,f847,f927,f1038,f1042,f1051,f1055,f1103,f1107,f1111,f1115,f1125,f1129,f1133,f1137,f1150,f1154,f1156,f1163,f1167,f1191,f1196,f1201,f1203,f1207,f1213,f1217,f1221,f1226,f1239,f1243,f1247,f1251,f1294,f1298,f1302,f1306,f1316,f1320,f1324,f1328,f1358,f1382,f1387,f1392,f1398,f1440,f1444,f1449,f1455,f1464,f1496,f1501,f1516,f1520,f1549,f1553,f1576,f1580,f1584,f1588,f1592,f1606,f1610,f1614,f1618,f1622,f1642,f1646,f1650,f1654,f1658,f1662,f1681,f1685,f1689,f1693,f1697,f1701,f1720,f1724,f1728,f1732,f1736,f1740,f1774,f1778,f1782,f1798,f1802,f1813,f1817,f1830,f1834,f1838,f1842,f1846,f1850,f1854,f1876,f1880,f1884,f1888,f1923,f1927,f1931,f1934,f1935,f1952,f1956,f1960,f1964,f1968,f1972,f1976,f1993,f1997,f2001,f2005,f2009,f2013,f2017,f2045,f2049,f2062,f2066,f2070,f2074,f2078,f2082,f2083,f2092,f2096,f2115,f2119,f2123,f2127,f2131,f2135,f2139,f2156,f2160,f2164,f2168,f2172,f2176,f2180,f2197,f2201,f2205,f2209,f2213,f2217,f2221,f2239,f2253,f2257,f2258,f2268,f2272,f2277,f2302,f2306,f2310,f2314,f2318,f2322,f2326,f2330,f2342,f2346,f2350,f2370,f2374,f2378,f2382,f2386,f2390,f2394,f2398,f2416,f2420,f2424,f2428,f2432,f2436,f2440,f2444,f2462,f2466,f2470,f2474,f2478,f2482,f2486,f2490,f2520,f2524,f2535,f2539,f2573,f2577,f2581,f2586,f2601,f2605,f2609,f2613,f2617,f2621,f2622,f2639,f2656,f2668,f2672,f2676,f2680,f2684,f2688,f2692,f2696,f2714,f2718,f2722,f2726,f2730,f2734,f2738,f2742,f2760,f2764,f2768,f2772,f2776,f2780,f2784,f2788,f2860,f2871,f2875,f2890,f2894,f2898,f2902,f2906,f2910,f3217,f3218,f3458,f3460,f3493,f3497,f3501,f3510,f3514,f3522,f3667,f3669,f3711,f3715,f3720,f3729,f3734,f3739,f3743,f3749,f3753,f3757,f3766,f3770,f3778,f3795,f3799,f3803,f3807,f3811,f3815,f3819,f3823,f3841,f3845,f3849,f3853,f3857,f3861,f3865,f3869,f3887,f3891,f3895,f3899,f3903,f3907,f3911,f3915,f4299,f4303,f4307,f4316,f4320,f4328,f4347,f4351,f4355,f4359,f4363,f4367,f4371,f4375,f4393,f4397,f4401,f4405,f4409,f4413,f4417,f4421,f4455,f4459,f4463,f4467,f4471,f4475,f4479,f4483,f4487,f4491,f4495,f4499,f4503,f4507,f4511,f4515,f4519,f4523,f4527,f4603,f4607,f4611,f4615,f4619,f4623,f4627,f4631,f4635,f4654,f4658,f4662,f4666,f4670,f4674,f4678,f4682,f4686,f4710,f4714,f4719,f4723,f4727,f4731,f4735,f4754,f4866,f4884,f4888,f4892,f4901,f4905,f4909,f4913,f5087,f5199,f5454,f5458,f5462,f5466,f5470,f5474,f5478,f5482,f5486,f5490,f5494,f5498,f5502,f5506,f5510,f5514,f5518,f5522,f5526,f5530,f5534,f5538,f5542,f5546,f5550,f5554,f5558,f5616,f5620,f5628,f5632,f5642,f5646,f5654,f5658,f5678,f5715]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC057-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n018.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Mon Sep 21 07:54:13 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 0.27/0.85 % Refutation found
% 0.27/0.85 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.27/0.85 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.27/0.91 % Elapsed time: 0.459231 seconds
% 0.27/0.91 % CPU time: 3.072595 seconds
% 0.27/0.91 % Total memory used: 137.031 MB
% 0.27/0.91 % Net memory used: 134.260 MB
%------------------------------------------------------------------------------