%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU272+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 02:19:59 PM UTC 2026
% Result : Theorem 25.99s 3.79s
% Output : CNFRefutation 14.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 530
% Syntax : Number of formulae : 1865 ( 20 unt; 521 def)
% Number of atoms : 10468 (4308 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 12053 (3450 ~;7944 |; 123 &)
% ( 526 <=>; 9 =>; 0 <=; 1 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 528 ( 526 usr; 521 prp; 0-4 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-4 aty)
% Number of variables : 2153 (2097 !; 56 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A,B] :
( ordinal(B)
=> ? [C] :
! [D] :
( in(D,C)
<=> ( ? [E] :
( in(E,A)
& D = E
& ordinal(E) )
& in(D,succ(B)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A,B] :
( ordinal(B)
=> ? [C] :
! [D] :
( in(D,C)
<=> ( ? [E] :
( in(E,A)
& D = E
& ordinal(E) )
& in(D,succ(B)) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f4,axiom,
! [A] :
( ( epsilon_connected(A)
& epsilon_transitive(A) )
=> ordinal(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
? [A] :
( ordinal(A)
& epsilon_connected(A)
& epsilon_transitive(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] :
( empty(A)
=> ( ordinal(A)
& epsilon_connected(A)
& epsilon_transitive(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
? [A] :
( ordinal(A)
& epsilon_connected(A)
& epsilon_transitive(A)
& ~ empty(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
? [A] : empty(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B] :
( in(A,B)
=> ~ in(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A] :
( ordinal(A)
=> ( ordinal(succ(A))
& epsilon_connected(succ(A))
& epsilon_transitive(succ(A))
& ~ empty(succ(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [A,B] :
( ordinal(B)
=> ( ! [C,D,E] :
( ( ? [G] :
( in(G,A)
& E = G
& ordinal(G) )
& C = E
& ? [F] :
( in(F,A)
& D = F
& ordinal(F) )
& C = D )
=> D = E )
=> ? [C] :
! [D] :
( in(D,C)
<=> ? [E] :
( ? [H] :
( in(H,A)
& D = H
& ordinal(H) )
& E = D
& in(E,succ(B)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,plain,
? [A,B] :
( ! [C] :
? [D] :
( in(D,C)
<~> ( ? [E] :
( in(E,A)
& D = E
& ordinal(E) )
& in(D,succ(B)) ) )
& ordinal(B) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f17,plain,
? [A,B] :
( ! [C] :
? [D] :
( ( ! [E] :
( ~ in(E,A)
| D != E
| ~ ordinal(E) )
| ~ in(D,succ(B))
| ~ in(D,C) )
& ( ( ? [E] :
( in(E,A)
& D = E
& ordinal(E) )
& in(D,succ(B)) )
| in(D,C) ) )
& ordinal(B) ),
inference(NNF_transformation,[status(thm)],[f16]) ).
fof(f18,plain,
? [B] :
( ? [A] :
! [C] :
? [D] :
( ( ! [E] :
( ~ in(E,A)
| D != E
| ~ ordinal(E) )
| ~ in(D,succ(B))
| ~ in(D,C) )
& ( ( ? [E] :
( in(E,A)
& D = E
& ordinal(E) )
& in(D,succ(B)) )
| in(D,C) ) )
& ordinal(B) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f19,plain,
( ! [C] :
( ( ! [E] :
( ~ in(E,sK1_skl)
| sK2_skl(C) != E
| ~ ordinal(E) )
| ~ in(sK2_skl(C),succ(sK0_skl))
| ~ in(sK2_skl(C),C) )
& ( ( in(sK3_skl(C),sK1_skl)
& sK2_skl(C) = sK3_skl(C)
& ordinal(sK3_skl(C))
& in(sK2_skl(C),succ(sK0_skl)) )
| in(sK2_skl(C),C) ) )
& ordinal(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(B,sK0_skl),skolemize(A,sK1_skl),skolemize(D,sK2_skl(C)),skolemize(E,sK3_skl(C))],[f18]) ).
fof(f20,plain,
ordinal(sK0_skl),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f21,plain,
! [X0] :
( in(sK2_skl(X0),succ(sK0_skl))
| in(sK2_skl(X0),X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f22,plain,
! [X0] :
( ordinal(sK3_skl(X0))
| in(sK2_skl(X0),X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f23,plain,
! [X0] :
( sK2_skl(X0) = sK3_skl(X0)
| in(sK2_skl(X0),X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f24,plain,
! [X0] :
( in(sK3_skl(X0),sK1_skl)
| in(sK2_skl(X0),X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f25,plain,
! [X0,X1] :
( ~ in(X1,sK1_skl)
| sK2_skl(X0) != X1
| ~ ordinal(X1)
| ~ in(sK2_skl(X0),succ(sK0_skl))
| ~ in(sK2_skl(X0),X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f28,plain,
! [A] :
( ordinal(A)
| ~ epsilon_connected(A)
| ~ epsilon_transitive(A) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f29,plain,
! [X0] :
( ordinal(X0)
| ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f30,plain,
( ordinal(sK4_skl)
& epsilon_connected(sK4_skl)
& epsilon_transitive(sK4_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(A,sK4_skl)],[f5]) ).
fof(f31,plain,
epsilon_transitive(sK4_skl),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f32,plain,
epsilon_connected(sK4_skl),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f33,plain,
ordinal(sK4_skl),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f34,plain,
! [A] :
( ( ordinal(A)
& epsilon_connected(A)
& epsilon_transitive(A) )
| ~ empty(A) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f35,plain,
! [X0] :
( epsilon_transitive(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f36,plain,
! [X0] :
( epsilon_connected(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f37,plain,
! [X0] :
( ordinal(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f38,plain,
( ordinal(sK5_skl)
& epsilon_connected(sK5_skl)
& epsilon_transitive(sK5_skl)
& ~ empty(sK5_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(A,sK5_skl)],[f7]) ).
fof(f40,plain,
epsilon_transitive(sK5_skl),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f41,plain,
epsilon_connected(sK5_skl),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f42,plain,
ordinal(sK5_skl),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f43,plain,
empty(sK6_skl),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(A,sK6_skl)],[f8]) ).
fof(f44,plain,
empty(sK6_skl),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f47,plain,
! [A,B] :
( ~ in(B,A)
| ~ in(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f48,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f53,plain,
! [A] :
( ( ordinal(succ(A))
& epsilon_connected(succ(A))
& epsilon_transitive(succ(A))
& ~ empty(succ(A)) )
| ~ ordinal(A) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f57,plain,
! [X0] :
( ordinal(succ(X0))
| ~ ordinal(X0) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f58,plain,
! [A,B] :
( ? [C] :
! [D] :
( in(D,C)
<=> ? [E] :
( ? [H] :
( in(H,A)
& D = H
& ordinal(H) )
& E = D
& in(E,succ(B)) ) )
| ? [C,D,E] :
( D != E
& ? [G] :
( in(G,A)
& E = G
& ordinal(G) )
& C = E
& ? [F] :
( in(F,A)
& D = F
& ordinal(F) )
& C = D )
| ~ ordinal(B) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f59,definition,
! [A,C,D,E] :
( sP0_prd(E,D,C,A)
<=> ( D != E
& ? [G] :
( in(G,A)
& E = G
& ordinal(G) )
& C = E
& ? [F] :
( in(F,A)
& D = F
& ordinal(F) )
& C = D ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f60,plain,
! [A,B] :
( ? [C] :
! [D] :
( in(D,C)
<=> ? [E] :
( ? [H] :
( in(H,A)
& D = H
& ordinal(H) )
& E = D
& in(E,succ(B)) ) )
| ? [C,D,E] : sP0_prd(E,D,C,A)
| ~ ordinal(B) ),
inference(formula_renaming,[status(thm)],[f58,f59]) ).
fof(f61,plain,
! [A,B] :
( ? [C] :
! [D] :
( ( ! [E] :
( ! [H] :
( ~ in(H,A)
| D != H
| ~ ordinal(H) )
| E != D
| ~ in(E,succ(B)) )
| in(D,C) )
& ( ? [E] :
( ? [H] :
( in(H,A)
& D = H
& ordinal(H) )
& E = D
& in(E,succ(B)) )
| ~ in(D,C) ) )
| ? [C,D,E] : sP0_prd(E,D,C,A)
| ~ ordinal(B) ),
inference(NNF_transformation,[status(thm)],[f60]) ).
fof(f62,plain,
! [B] :
( ! [A] :
( ? [C] :
( ! [D] :
( ! [H] :
( ~ in(H,A)
| D != H
| ~ ordinal(H) )
| ! [E] :
( E != D
| ~ in(E,succ(B)) )
| in(D,C) )
& ! [D] :
( ( ? [H] :
( in(H,A)
& D = H
& ordinal(H) )
& ? [E] :
( E = D
& in(E,succ(B)) ) )
| ~ in(D,C) ) )
| ? [C,D,E] : sP0_prd(E,D,C,A) )
| ~ ordinal(B) ),
inference(miniscoping,[status(thm)],[f61]) ).
fof(f63,plain,
! [B] :
( ! [A] :
( ( ! [D] :
( ! [H] :
( ~ in(H,A)
| D != H
| ~ ordinal(H) )
| ! [E] :
( E != D
| ~ in(E,succ(B)) )
| in(D,sK11_skl(A,B)) )
& ! [D] :
( ( in(sK13_skl(D,A,B),A)
& D = sK13_skl(D,A,B)
& ordinal(sK13_skl(D,A,B))
& sK12_skl(D,A,B) = D
& in(sK12_skl(D,A,B),succ(B)) )
| ~ in(D,sK11_skl(A,B)) ) )
| sP0_prd(sK10_skl(A,B),sK9_skl(A,B),sK8_skl(A,B),A) )
| ~ ordinal(B) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl,sK10_skl,sK11_skl,sK12_skl,sK13_skl]),skolemize(C,sK8_skl(A,B)),skolemize(D,sK9_skl(A,B)),skolemize(E,sK10_skl(A,B)),skolemize(C,sK11_skl(A,B)),skolemize(E,sK12_skl(D,A,B)),skolemize(H,sK13_skl(D,A,B))],[f62]) ).
fof(f64,plain,
! [X0,X1,X2] :
( in(sK12_skl(X2,X1,X0),succ(X0))
| ~ in(X2,sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f65,plain,
! [X0,X1,X2] :
( sK12_skl(X2,X1,X0) = X2
| ~ in(X2,sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ordinal(sK13_skl(X2,X1,X0))
| ~ in(X2,sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f67,plain,
! [X0,X1,X2] :
( X2 = sK13_skl(X2,X1,X0)
| ~ in(X2,sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f68,plain,
! [X0,X1,X2] :
( in(sK13_skl(X2,X1,X0),X1)
| ~ in(X2,sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f69,plain,
! [X0,X1,X2,X3,X4] :
( ~ in(X4,X1)
| X2 != X4
| ~ ordinal(X4)
| X3 != X2
| ~ in(X3,succ(X0))
| in(X2,sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f70,plain,
! [A,C,D,E] :
( ( D = E
| ! [G] :
( ~ in(G,A)
| E != G
| ~ ordinal(G) )
| C != E
| ! [F] :
( ~ in(F,A)
| D != F
| ~ ordinal(F) )
| C != D
| sP0_prd(E,D,C,A) )
& ( ( D != E
& ? [G] :
( in(G,A)
& E = G
& ordinal(G) )
& C = E
& ? [F] :
( in(F,A)
& D = F
& ordinal(F) )
& C = D )
| ~ sP0_prd(E,D,C,A) ) ),
inference(NNF_transformation,[status(thm)],[f59]) ).
fof(f71,plain,
( ! [A,C,D,E] :
( D = E
| ! [G] :
( ~ in(G,A)
| E != G
| ~ ordinal(G) )
| C != E
| ! [F] :
( ~ in(F,A)
| D != F
| ~ ordinal(F) )
| C != D
| sP0_prd(E,D,C,A) )
& ! [A,C,D,E] :
( ( D != E
& ? [G] :
( in(G,A)
& E = G
& ordinal(G) )
& C = E
& ? [F] :
( in(F,A)
& D = F
& ordinal(F) )
& C = D )
| ~ sP0_prd(E,D,C,A) ) ),
inference(miniscoping,[status(thm)],[f70]) ).
fof(f72,plain,
( ! [A,C,D,E] :
( D = E
| ! [G] :
( ~ in(G,A)
| E != G
| ~ ordinal(G) )
| C != E
| ! [F] :
( ~ in(F,A)
| D != F
| ~ ordinal(F) )
| C != D
| sP0_prd(E,D,C,A) )
& ! [A,C,D,E] :
( ( D != E
& in(sK15_skl(E,D,C,A),A)
& E = sK15_skl(E,D,C,A)
& ordinal(sK15_skl(E,D,C,A))
& C = E
& in(sK14_skl(E,D,C,A),A)
& D = sK14_skl(E,D,C,A)
& ordinal(sK14_skl(E,D,C,A))
& C = D )
| ~ sP0_prd(E,D,C,A) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl,sK15_skl]),skolemize(F,sK14_skl(E,D,C,A)),skolemize(G,sK15_skl(E,D,C,A))],[f71]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( X2 = X1
| ~ sP0_prd(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f75,plain,
! [X0,X1,X2,X3] :
( X1 = sK14_skl(X0,X1,X2,X3)
| ~ sP0_prd(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( in(sK14_skl(X0,X1,X2,X3),X3)
| ~ sP0_prd(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f77,plain,
! [X0,X1,X2,X3] :
( X2 = X0
| ~ sP0_prd(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f78,plain,
! [X0,X1,X2,X3] :
( ordinal(sK15_skl(X0,X1,X2,X3))
| ~ sP0_prd(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f79,plain,
! [X0,X1,X2,X3] :
( X0 = sK15_skl(X0,X1,X2,X3)
| ~ sP0_prd(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f80,plain,
! [X0,X1,X2,X3] :
( in(sK15_skl(X0,X1,X2,X3),X3)
| ~ sP0_prd(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f81,plain,
! [X0,X1,X2,X3] :
( X1 != X0
| ~ sP0_prd(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f83,plain,
! [X0] :
( ~ in(sK2_skl(X0),sK1_skl)
| ~ ordinal(sK2_skl(X0))
| ~ in(sK2_skl(X0),succ(sK0_skl))
| ~ in(sK2_skl(X0),X0) ),
inference(destructive_equality_resolution,[status(thm)],[f25]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ~ in(X2,X1)
| ~ ordinal(X2)
| ~ in(X2,succ(X0))
| in(X2,sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f69]) ).
fof(f85,plain,
! [X0,X1,X2] : ~ sP0_prd(X0,X0,X1,X2),
inference(destructive_equality_resolution,[status(thm)],[f81]) ).
fof(f89,plain,
( ordinal(sK4_skl)
| ~ epsilon_connected(sK4_skl) ),
inference(resolution,[status(thm)],[f31,f29]) ).
fof(f90,definition,
( sQ0_spl
<=> epsilon_connected(sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f92,plain,
( sQ0_spl
| ~ epsilon_connected(sK4_skl) ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f93,definition,
( sQ1_spl
<=> ordinal(sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f96,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f89,f90,f93]) ).
fof(f97,plain,
( ordinal(sK5_skl)
| ~ epsilon_connected(sK5_skl) ),
inference(resolution,[status(thm)],[f40,f29]) ).
fof(f98,definition,
( sQ2_spl
<=> epsilon_connected(sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f100,plain,
( sQ2_spl
| ~ epsilon_connected(sK5_skl) ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f101,definition,
( sQ3_spl
<=> ordinal(sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f104,plain,
( sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f97,f98,f101]) ).
fof(f106,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f92,f32]) ).
fof(f107,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f106]) ).
fof(f108,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f100,f41]) ).
fof(f109,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f108]) ).
fof(f110,plain,
epsilon_transitive(sK6_skl),
inference(resolution,[status(thm)],[f35,f44]) ).
fof(f112,plain,
( ordinal(sK6_skl)
| ~ epsilon_connected(sK6_skl) ),
inference(resolution,[status(thm)],[f110,f29]) ).
fof(f113,definition,
( sQ4_spl
<=> epsilon_connected(sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f115,plain,
( sQ4_spl
| ~ epsilon_connected(sK6_skl) ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f116,definition,
( sQ5_spl
<=> ordinal(sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f117,plain,
( ~ sQ5_spl
| ordinal(sK6_skl) ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f119,plain,
( sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f112,f113,f116]) ).
fof(f120,plain,
( sQ4_spl
| ~ empty(sK6_skl) ),
inference(resolution,[status(thm)],[f115,f36]) ).
fof(f121,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f120,f44]) ).
fof(f122,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f121]) ).
fof(f125,plain,
! [X0,X1,X2] :
( ~ in(succ(X0),sK12_skl(X2,X1,X0))
| ~ in(X2,sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f64,f48]) ).
fof(f126,plain,
! [X0,X1] :
( sK2_skl(sK11_skl(X1,X0)) = sK3_skl(sK11_skl(X1,X0))
| sK12_skl(sK2_skl(sK11_skl(X1,X0)),X1,X0) = sK2_skl(sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f65,f23]) ).
fof(f127,plain,
! [X0,X1] :
( sK2_skl(sK11_skl(X1,X0)) = sK3_skl(sK11_skl(X1,X0))
| sK2_skl(sK11_skl(X1,X0)) = sK13_skl(sK2_skl(sK11_skl(X1,X0)),X1,X0)
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f67,f23]) ).
fof(f128,plain,
! [X0,X1] :
( sK2_skl(sK11_skl(X1,X0)) = sK3_skl(sK11_skl(X1,X0))
| in(sK13_skl(sK2_skl(sK11_skl(X1,X0)),X1,X0),X1)
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f68,f23]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ in(X2,sK11_skl(X3,X0))
| sP0_prd(sK10_skl(X3,X0),sK9_skl(X3,X0),sK8_skl(X3,X0),X3)
| ~ ordinal(X0)
| ~ in(sK12_skl(X2,X3,X0),X1)
| ~ ordinal(sK12_skl(X2,X3,X0))
| in(sK12_skl(X2,X3,X0),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f84,f64]) ).
fof(f130,plain,
! [X0,X1] :
( in(sK2_skl(X1),X1)
| ~ in(sK2_skl(X1),X0)
| ~ ordinal(sK2_skl(X1))
| in(sK2_skl(X1),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0)
| ~ ordinal(sK0_skl) ),
inference(resolution,[status(thm)],[f84,f21]) ).
fof(f132,plain,
! [X0,X1,X2,X3] :
( ~ in(X2,sK11_skl(X3,X0))
| sP0_prd(sK10_skl(X3,X0),sK9_skl(X3,X0),sK8_skl(X3,X0),X3)
| ~ in(sK12_skl(X2,X3,X0),X1)
| ~ ordinal(sK12_skl(X2,X3,X0))
| in(sK12_skl(X2,X3,X0),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f129]) ).
fof(f133,definition,
( sQ6_spl
<=> ordinal(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f135,plain,
( sQ6_spl
| ~ ordinal(sK0_skl) ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,definition,
! [X0,X1] :
( sQ7_spl
<=> ( in(sK2_skl(X1),X1)
| ~ in(sK2_skl(X1),X0)
| ~ ordinal(sK2_skl(X1))
| in(sK2_skl(X1),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f137,plain,
! [X0,X1] :
( ~ sQ7_spl
| in(sK2_skl(X1),X1)
| ~ in(sK2_skl(X1),X0)
| ~ ordinal(sK2_skl(X1))
| in(sK2_skl(X1),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f139,plain,
( sQ7_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f130,f133,f136]) ).
fof(f140,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f135,f20]) ).
fof(f141,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f140]) ).
fof(f142,plain,
! [X0,X1,X2] :
( ~ in(sK13_skl(sK2_skl(sK11_skl(succ(X1),X0)),succ(X1),X0),X2)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X1),X0)),succ(X1),X0))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X1),X0)),succ(X1),X0),sK11_skl(X2,X1))
| sP0_prd(sK10_skl(X2,X1),sK9_skl(X2,X1),sK8_skl(X2,X1),X2)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(succ(X1),X0)) = sK3_skl(sK11_skl(succ(X1),X0))
| sP0_prd(sK10_skl(succ(X1),X0),sK9_skl(succ(X1),X0),sK8_skl(succ(X1),X0),succ(X1))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f128,f84]) ).
fof(f143,plain,
! [X0,X1,X2] :
( in(sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0),X1,X2),X1)
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| sP0_prd(sK10_skl(sK11_skl(X1,X2),X0),sK9_skl(sK11_skl(X1,X2),X0),sK8_skl(sK11_skl(X1,X2),X0),sK11_skl(X1,X2))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f128,f68]) ).
fof(f144,plain,
! [X0,X1,X2] :
( sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0) = sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0),X1,X2)
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| sP0_prd(sK10_skl(sK11_skl(X1,X2),X0),sK9_skl(sK11_skl(X1,X2),X0),sK8_skl(sK11_skl(X1,X2),X0),sK11_skl(X1,X2))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f128,f67]) ).
fof(f145,plain,
! [X0,X1,X2] :
( sK12_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0),X1,X2) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0)
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| sP0_prd(sK10_skl(sK11_skl(X1,X2),X0),sK9_skl(sK11_skl(X1,X2),X0),sK8_skl(sK11_skl(X1,X2),X0),sK11_skl(X1,X2))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f128,f65]) ).
fof(f146,plain,
! [X0,X1] :
( ~ in(X1,sK13_skl(sK2_skl(sK11_skl(X1,X0)),X1,X0))
| sK2_skl(sK11_skl(X1,X0)) = sK3_skl(sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f128,f48]) ).
fof(f147,plain,
! [X0,X1] :
( in(sK15_skl(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1),X1)
| sK2_skl(sK11_skl(X1,X0)) = sK3_skl(sK11_skl(X1,X0))
| sK12_skl(sK2_skl(sK11_skl(X1,X0)),X1,X0) = sK2_skl(sK11_skl(X1,X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f126,f80]) ).
fof(f148,plain,
! [X0,X1] :
( in(sK14_skl(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1),X1)
| sK2_skl(sK11_skl(X1,X0)) = sK3_skl(sK11_skl(X1,X0))
| sK12_skl(sK2_skl(sK11_skl(X1,X0)),X1,X0) = sK2_skl(sK11_skl(X1,X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f126,f76]) ).
fof(f149,plain,
! [X0,X1] :
( sK10_skl(X1,X0) = sK15_skl(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| sK2_skl(sK11_skl(X1,X0)) = sK3_skl(sK11_skl(X1,X0))
| sK12_skl(sK2_skl(sK11_skl(X1,X0)),X1,X0) = sK2_skl(sK11_skl(X1,X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f126,f79]) ).
fof(f150,plain,
! [X0,X1] :
( sK9_skl(X1,X0) = sK14_skl(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| sK2_skl(sK11_skl(X1,X0)) = sK3_skl(sK11_skl(X1,X0))
| sK12_skl(sK2_skl(sK11_skl(X1,X0)),X1,X0) = sK2_skl(sK11_skl(X1,X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f126,f75]) ).
fof(f151,plain,
! [X0,X1] :
( sK8_skl(X1,X0) = sK10_skl(X1,X0)
| sK2_skl(sK11_skl(X1,X0)) = sK3_skl(sK11_skl(X1,X0))
| sK12_skl(sK2_skl(sK11_skl(X1,X0)),X1,X0) = sK2_skl(sK11_skl(X1,X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f126,f77]) ).
fof(f152,plain,
! [X0,X1] :
( sK8_skl(X1,X0) = sK9_skl(X1,X0)
| sK2_skl(sK11_skl(X1,X0)) = sK3_skl(sK11_skl(X1,X0))
| sK12_skl(sK2_skl(sK11_skl(X1,X0)),X1,X0) = sK2_skl(sK11_skl(X1,X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f126,f73]) ).
fof(f153,plain,
! [X0,X1] :
( in(sK15_skl(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1),X1)
| sK2_skl(sK11_skl(X1,X0)) = sK3_skl(sK11_skl(X1,X0))
| sK2_skl(sK11_skl(X1,X0)) = sK13_skl(sK2_skl(sK11_skl(X1,X0)),X1,X0)
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f127,f80]) ).
fof(f154,plain,
! [X0,X1] :
( in(sK14_skl(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1),X1)
| sK2_skl(sK11_skl(X1,X0)) = sK3_skl(sK11_skl(X1,X0))
| sK2_skl(sK11_skl(X1,X0)) = sK13_skl(sK2_skl(sK11_skl(X1,X0)),X1,X0)
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f127,f76]) ).
fof(f155,plain,
! [X0,X1] :
( sK10_skl(X1,X0) = sK15_skl(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| sK2_skl(sK11_skl(X1,X0)) = sK3_skl(sK11_skl(X1,X0))
| sK2_skl(sK11_skl(X1,X0)) = sK13_skl(sK2_skl(sK11_skl(X1,X0)),X1,X0)
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f127,f79]) ).
fof(f156,plain,
! [X0,X1] :
( sK9_skl(X1,X0) = sK14_skl(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| sK2_skl(sK11_skl(X1,X0)) = sK3_skl(sK11_skl(X1,X0))
| sK2_skl(sK11_skl(X1,X0)) = sK13_skl(sK2_skl(sK11_skl(X1,X0)),X1,X0)
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f127,f75]) ).
fof(f157,plain,
! [X0,X1] :
( sK8_skl(X1,X0) = sK10_skl(X1,X0)
| sK2_skl(sK11_skl(X1,X0)) = sK3_skl(sK11_skl(X1,X0))
| sK2_skl(sK11_skl(X1,X0)) = sK13_skl(sK2_skl(sK11_skl(X1,X0)),X1,X0)
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f127,f77]) ).
fof(f158,plain,
! [X0,X1] :
( sK8_skl(X1,X0) = sK9_skl(X1,X0)
| sK2_skl(sK11_skl(X1,X0)) = sK3_skl(sK11_skl(X1,X0))
| sK2_skl(sK11_skl(X1,X0)) = sK13_skl(sK2_skl(sK11_skl(X1,X0)),X1,X0)
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f127,f73]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
( ~ empty(sK12_skl(X2,X3,X0))
| ~ in(X2,sK11_skl(X3,X0))
| sP0_prd(sK10_skl(X3,X0),sK9_skl(X3,X0),sK8_skl(X3,X0),X3)
| ~ in(sK12_skl(X2,X3,X0),X1)
| in(sK12_skl(X2,X3,X0),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f132,f37]) ).
fof(f160,plain,
! [X0,X1,X2,X3] :
( ~ in(X1,sK11_skl(X2,X3))
| sP0_prd(sK10_skl(X2,X3),sK9_skl(X2,X3),sK8_skl(X2,X3),X2)
| ~ ordinal(X3)
| sK8_skl(X0,sK13_skl(X1,X2,X3)) = sK9_skl(X0,sK13_skl(X1,X2,X3))
| sK2_skl(sK11_skl(X0,sK13_skl(X1,X2,X3))) = sK3_skl(sK11_skl(X0,sK13_skl(X1,X2,X3)))
| sK2_skl(sK11_skl(X0,sK13_skl(X1,X2,X3))) = sK13_skl(sK2_skl(sK11_skl(X0,sK13_skl(X1,X2,X3))),X0,sK13_skl(X1,X2,X3)) ),
inference(resolution,[status(thm)],[f158,f66]) ).
fof(f161,plain,
! [X0,X1,X2,X3,X4] :
( ~ sP0_prd(X1,X2,X3,X4)
| sK8_skl(X0,sK15_skl(X1,X2,X3,X4)) = sK9_skl(X0,sK15_skl(X1,X2,X3,X4))
| sK2_skl(sK11_skl(X0,sK15_skl(X1,X2,X3,X4))) = sK3_skl(sK11_skl(X0,sK15_skl(X1,X2,X3,X4)))
| sK2_skl(sK11_skl(X0,sK15_skl(X1,X2,X3,X4))) = sK13_skl(sK2_skl(sK11_skl(X0,sK15_skl(X1,X2,X3,X4))),X0,sK15_skl(X1,X2,X3,X4)) ),
inference(resolution,[status(thm)],[f158,f78]) ).
fof(f163,plain,
! [X0] :
( ~ sQ5_spl
| sK8_skl(X0,sK6_skl) = sK9_skl(X0,sK6_skl)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) ),
inference(resolution,[status(thm)],[f158,f117]) ).
fof(f164,plain,
! [X0] :
( sK8_skl(X0,sK5_skl) = sK9_skl(X0,sK5_skl)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) ),
inference(resolution,[status(thm)],[f158,f42]) ).
fof(f165,plain,
! [X0] :
( sK8_skl(X0,sK4_skl) = sK9_skl(X0,sK4_skl)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) ),
inference(resolution,[status(thm)],[f158,f33]) ).
fof(f166,plain,
! [X0,X1] :
( ~ ordinal(X1)
| sK8_skl(X0,succ(X1)) = sK9_skl(X0,succ(X1))
| sK2_skl(sK11_skl(X0,succ(X1))) = sK3_skl(sK11_skl(X0,succ(X1)))
| sK2_skl(sK11_skl(X0,succ(X1))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(X1))),X0,succ(X1)) ),
inference(resolution,[status(thm)],[f158,f57]) ).
fof(f168,plain,
! [X0] :
( sK8_skl(X0,sK0_skl) = sK9_skl(X0,sK0_skl)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) ),
inference(resolution,[status(thm)],[f158,f20]) ).
fof(f172,plain,
! [X0] :
( ~ sQ5_spl
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| sK9_skl(X0,sK6_skl) = sK10_skl(X0,sK6_skl)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f163,f157]) ).
fof(f173,plain,
! [X0] :
( ~ sQ5_spl
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| sK9_skl(X0,sK6_skl) = sK9_skl(X0,sK6_skl)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) = sK2_skl(sK11_skl(X0,sK6_skl))
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f163,f152]) ).
fof(f174,plain,
! [X0] :
( ~ sQ5_spl
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| sK9_skl(X0,sK6_skl) = sK10_skl(X0,sK6_skl)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) = sK2_skl(sK11_skl(X0,sK6_skl))
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f163,f151]) ).
fof(f175,plain,
! [X0] :
( ~ sQ5_spl
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| sP0_prd(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),X0)
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f163,f127]) ).
fof(f176,plain,
! [X0] :
( ~ sQ5_spl
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) = sK2_skl(sK11_skl(X0,sK6_skl))
| sP0_prd(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),X0)
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f163,f126]) ).
fof(f177,definition,
! [X0] :
( sQ8_spl
<=> ( sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| sK9_skl(X0,sK6_skl) = sK10_skl(X0,sK6_skl)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f178,plain,
! [X0] :
( ~ sQ8_spl
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| sK9_skl(X0,sK6_skl) = sK10_skl(X0,sK6_skl)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,plain,
( sQ8_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f172,f116,f177]) ).
fof(f181,definition,
! [X0] :
( sQ9_spl
<=> ( sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| sK9_skl(X0,sK6_skl) = sK9_skl(X0,sK6_skl)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) = sK2_skl(sK11_skl(X0,sK6_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f184,plain,
( sQ9_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f173,f116,f181]) ).
fof(f185,definition,
! [X0] :
( sQ10_spl
<=> ( sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| sK9_skl(X0,sK6_skl) = sK10_skl(X0,sK6_skl)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) = sK2_skl(sK11_skl(X0,sK6_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f188,plain,
( sQ10_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f174,f116,f185]) ).
fof(f189,definition,
! [X0] :
( sQ11_spl
<=> ( sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| sP0_prd(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f192,plain,
( sQ11_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f175,f116,f189]) ).
fof(f193,definition,
! [X0] :
( sQ12_spl
<=> ( sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) = sK2_skl(sK11_skl(X0,sK6_skl))
| sP0_prd(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f196,plain,
( sQ12_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f176,f116,f193]) ).
fof(f197,plain,
! [X0] :
( ~ sQ8_spl
| sK9_skl(X0,sK6_skl) = sK10_skl(X0,sK6_skl)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f178]) ).
fof(f201,plain,
! [X0] :
( sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| sK9_skl(X0,sK5_skl) = sK10_skl(X0,sK5_skl)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f164,f157]) ).
fof(f202,plain,
! [X0] :
( sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| sK9_skl(X0,sK5_skl) = sK9_skl(X0,sK5_skl)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) = sK2_skl(sK11_skl(X0,sK5_skl))
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f164,f152]) ).
fof(f203,plain,
! [X0] :
( sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| sK9_skl(X0,sK5_skl) = sK10_skl(X0,sK5_skl)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) = sK2_skl(sK11_skl(X0,sK5_skl))
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f164,f151]) ).
fof(f204,plain,
! [X0] :
( sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| sP0_prd(sK10_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),X0)
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f164,f127]) ).
fof(f205,plain,
! [X0] :
( sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) = sK2_skl(sK11_skl(X0,sK5_skl))
| sP0_prd(sK10_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),X0)
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f164,f126]) ).
fof(f206,definition,
! [X0] :
( sQ13_spl
<=> ( sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| sK9_skl(X0,sK5_skl) = sK10_skl(X0,sK5_skl)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f207,plain,
! [X0] :
( ~ sQ13_spl
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| sK9_skl(X0,sK5_skl) = sK10_skl(X0,sK5_skl)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,plain,
( sQ13_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f201,f101,f206]) ).
fof(f210,definition,
! [X0] :
( sQ14_spl
<=> ( sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| sK9_skl(X0,sK5_skl) = sK9_skl(X0,sK5_skl)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) = sK2_skl(sK11_skl(X0,sK5_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( sQ14_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f202,f101,f210]) ).
fof(f214,definition,
! [X0] :
( sQ15_spl
<=> ( sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| sK9_skl(X0,sK5_skl) = sK10_skl(X0,sK5_skl)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) = sK2_skl(sK11_skl(X0,sK5_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f217,plain,
( sQ15_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f203,f101,f214]) ).
fof(f218,definition,
! [X0] :
( sQ16_spl
<=> ( sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| sP0_prd(sK10_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f221,plain,
( sQ16_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f204,f101,f218]) ).
fof(f222,definition,
! [X0] :
( sQ17_spl
<=> ( sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) = sK2_skl(sK11_skl(X0,sK5_skl))
| sP0_prd(sK10_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f225,plain,
( sQ17_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f205,f101,f222]) ).
fof(f226,plain,
! [X0] :
( ~ sQ13_spl
| sK9_skl(X0,sK5_skl) = sK10_skl(X0,sK5_skl)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f207]) ).
fof(f230,plain,
! [X0] :
( sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| sK9_skl(X0,sK4_skl) = sK10_skl(X0,sK4_skl)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f165,f157]) ).
fof(f231,plain,
! [X0] :
( sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| sK9_skl(X0,sK4_skl) = sK9_skl(X0,sK4_skl)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) = sK2_skl(sK11_skl(X0,sK4_skl))
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f165,f152]) ).
fof(f232,plain,
! [X0] :
( sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| sK9_skl(X0,sK4_skl) = sK10_skl(X0,sK4_skl)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) = sK2_skl(sK11_skl(X0,sK4_skl))
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f165,f151]) ).
fof(f233,plain,
! [X0] :
( sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| sP0_prd(sK10_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),X0)
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f165,f127]) ).
fof(f234,plain,
! [X0] :
( sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) = sK2_skl(sK11_skl(X0,sK4_skl))
| sP0_prd(sK10_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),X0)
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f165,f126]) ).
fof(f235,definition,
! [X0] :
( sQ18_spl
<=> ( sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| sK9_skl(X0,sK4_skl) = sK10_skl(X0,sK4_skl)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f236,plain,
! [X0] :
( ~ sQ18_spl
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| sK9_skl(X0,sK4_skl) = sK10_skl(X0,sK4_skl)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,plain,
( sQ18_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f230,f93,f235]) ).
fof(f239,definition,
! [X0] :
( sQ19_spl
<=> ( sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| sK9_skl(X0,sK4_skl) = sK9_skl(X0,sK4_skl)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) = sK2_skl(sK11_skl(X0,sK4_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( sQ19_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f231,f93,f239]) ).
fof(f243,definition,
! [X0] :
( sQ20_spl
<=> ( sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| sK9_skl(X0,sK4_skl) = sK10_skl(X0,sK4_skl)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) = sK2_skl(sK11_skl(X0,sK4_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f246,plain,
( sQ20_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f232,f93,f243]) ).
fof(f247,definition,
! [X0] :
( sQ21_spl
<=> ( sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| sP0_prd(sK10_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( sQ21_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f233,f93,f247]) ).
fof(f251,definition,
! [X0] :
( sQ22_spl
<=> ( sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) = sK2_skl(sK11_skl(X0,sK4_skl))
| sP0_prd(sK10_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f254,plain,
( sQ22_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f234,f93,f251]) ).
fof(f255,plain,
! [X0] :
( ~ sQ18_spl
| sK9_skl(X0,sK4_skl) = sK10_skl(X0,sK4_skl)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f236]) ).
fof(f259,plain,
! [X0] :
( sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| sK9_skl(X0,sK0_skl) = sK10_skl(X0,sK0_skl)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f168,f157]) ).
fof(f260,plain,
! [X0] :
( sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| sK9_skl(X0,sK0_skl) = sK9_skl(X0,sK0_skl)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) = sK2_skl(sK11_skl(X0,sK0_skl))
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f168,f152]) ).
fof(f261,plain,
! [X0] :
( sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| sK9_skl(X0,sK0_skl) = sK10_skl(X0,sK0_skl)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) = sK2_skl(sK11_skl(X0,sK0_skl))
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f168,f151]) ).
fof(f262,plain,
! [X0] :
( sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),X0)
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f168,f127]) ).
fof(f263,plain,
! [X0] :
( sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) = sK2_skl(sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),X0)
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f168,f126]) ).
fof(f264,definition,
! [X0] :
( sQ23_spl
<=> ( sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| sK9_skl(X0,sK0_skl) = sK10_skl(X0,sK0_skl)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f265,plain,
! [X0] :
( ~ sQ23_spl
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| sK9_skl(X0,sK0_skl) = sK10_skl(X0,sK0_skl)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,plain,
( sQ23_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f259,f133,f264]) ).
fof(f268,definition,
! [X0] :
( sQ24_spl
<=> ( sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| sK9_skl(X0,sK0_skl) = sK9_skl(X0,sK0_skl)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) = sK2_skl(sK11_skl(X0,sK0_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f271,plain,
( sQ24_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f260,f133,f268]) ).
fof(f272,definition,
! [X0] :
( sQ25_spl
<=> ( sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| sK9_skl(X0,sK0_skl) = sK10_skl(X0,sK0_skl)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) = sK2_skl(sK11_skl(X0,sK0_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f275,plain,
( sQ25_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f261,f133,f272]) ).
fof(f276,definition,
! [X0] :
( sQ26_spl
<=> ( sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( sQ26_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f262,f133,f276]) ).
fof(f280,definition,
! [X0] :
( sQ27_spl
<=> ( sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) = sK2_skl(sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( sQ27_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f263,f133,f280]) ).
fof(f284,plain,
! [X0] :
( ~ sQ23_spl
| sK9_skl(X0,sK0_skl) = sK10_skl(X0,sK0_skl)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f265]) ).
fof(f288,plain,
! [X0] :
( ~ sQ8_spl
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| sP0_prd(sK10_skl(X0,sK6_skl),sK10_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0)
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f197,f127]) ).
fof(f289,plain,
! [X0] :
( ~ sQ8_spl
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) = sK2_skl(sK11_skl(X0,sK6_skl))
| sP0_prd(sK10_skl(X0,sK6_skl),sK10_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0)
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f197,f126]) ).
fof(f290,definition,
! [X0] :
( sQ28_spl
<=> ( sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| sP0_prd(sK10_skl(X0,sK6_skl),sK10_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f291,plain,
! [X0] :
( ~ sQ28_spl
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| sP0_prd(sK10_skl(X0,sK6_skl),sK10_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0) ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,plain,
( ~ sQ8_spl
| sQ28_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f288,f116,f290,f177]) ).
fof(f294,definition,
! [X0] :
( sQ29_spl
<=> ( sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) = sK2_skl(sK11_skl(X0,sK6_skl))
| sP0_prd(sK10_skl(X0,sK6_skl),sK10_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f297,plain,
( ~ sQ8_spl
| sQ29_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f289,f116,f294,f177]) ).
fof(f298,plain,
! [X0] :
( ~ sQ28_spl
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| sP0_prd(sK10_skl(X0,sK6_skl),sK10_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0) ),
inference(duplicate_literals_removal,[status(thm)],[f291]) ).
fof(f299,plain,
! [X0] :
( ~ sQ28_spl
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f298,f85]) ).
fof(f302,plain,
! [X0] :
( ~ sQ28_spl
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sP0_prd(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0)
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f299,f146]) ).
fof(f303,plain,
! [X0] :
( ~ sQ28_spl
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| in(sK13_skl(sK3_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl),X0)
| sP0_prd(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0)
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f299,f128]) ).
fof(f308,plain,
! [X0] :
( ~ sQ28_spl
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| in(sK3_skl(sK11_skl(X0,sK6_skl)),succ(sK0_skl))
| in(sK2_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl)) ),
inference(paramodulation,[status(thm)],[f299,f21]) ).
fof(f311,definition,
! [X0] :
( sQ30_spl
<=> ( sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sP0_prd(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f314,plain,
( ~ sQ28_spl
| sQ30_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f302,f116,f311,f290]) ).
fof(f315,definition,
! [X0] :
( sQ31_spl
<=> ( sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| in(sK13_skl(sK3_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl),X0)
| sP0_prd(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( ~ sQ28_spl
| sQ31_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f303,f116,f315,f290]) ).
fof(f320,plain,
! [X0,X1] :
( ~ sQ28_spl
| ~ sQ7_spl
| sK2_skl(sK11_skl(X1,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl)
| in(sK2_skl(sK11_skl(X1,sK6_skl)),sK11_skl(X1,sK6_skl))
| ~ in(sK2_skl(sK11_skl(X1,sK6_skl)),X0)
| ~ ordinal(sK3_skl(sK11_skl(X1,sK6_skl)))
| in(sK2_skl(sK11_skl(X1,sK6_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(paramodulation,[status(thm)],[f299,f137]) ).
fof(f321,plain,
! [X0,X1] :
( ~ sQ28_spl
| ~ sQ7_spl
| sK2_skl(sK11_skl(X1,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl)
| in(sK2_skl(sK11_skl(X1,sK6_skl)),sK11_skl(X1,sK6_skl))
| ~ in(sK2_skl(sK11_skl(X1,sK6_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK6_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f320,f22]) ).
fof(f322,plain,
! [X0,X1] :
( sK2_skl(sK11_skl(succ(X1),X0)) = sK3_skl(sK11_skl(succ(X1),X0))
| sP0_prd(sK10_skl(succ(X1),X0),sK9_skl(succ(X1),X0),sK8_skl(succ(X1),X0),succ(X1))
| ~ ordinal(X0)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X1),X0)),succ(X1),X0))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X1),X0)),succ(X1),X0),sK11_skl(succ(X1),X1))
| sP0_prd(sK10_skl(succ(X1),X1),sK9_skl(succ(X1),X1),sK8_skl(succ(X1),X1),succ(X1))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(succ(X1),X0)) = sK3_skl(sK11_skl(succ(X1),X0))
| sP0_prd(sK10_skl(succ(X1),X0),sK9_skl(succ(X1),X0),sK8_skl(succ(X1),X0),succ(X1))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f142,f128]) ).
fof(f323,plain,
! [X0,X1] :
( ~ sQ28_spl
| sK2_skl(sK11_skl(succ(X0),sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(succ(X0),sK6_skl)),succ(X0),sK6_skl)
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),sK6_skl)),succ(X0),sK6_skl),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),sK6_skl)),succ(X0),sK6_skl))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),sK6_skl)),succ(X0),sK6_skl),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK6_skl)) = sK3_skl(sK11_skl(succ(X0),sK6_skl))
| sP0_prd(sK10_skl(succ(X0),sK6_skl),sK9_skl(succ(X0),sK6_skl),sK8_skl(succ(X0),sK6_skl),succ(X0))
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f299,f142]) ).
fof(f324,plain,
! [X0,X1] :
( ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X1),X0)),succ(X1),X0))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X1),X0)),succ(X1),X0),sK11_skl(succ(X1),X1))
| sP0_prd(sK10_skl(succ(X1),X1),sK9_skl(succ(X1),X1),sK8_skl(succ(X1),X1),succ(X1))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(succ(X1),X0)) = sK3_skl(sK11_skl(succ(X1),X0))
| sP0_prd(sK10_skl(succ(X1),X0),sK9_skl(succ(X1),X0),sK8_skl(succ(X1),X0),succ(X1))
| ~ ordinal(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f322]) ).
fof(f325,definition,
! [X0,X1] :
( sQ32_spl
<=> ( sK2_skl(sK11_skl(succ(X0),sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(succ(X0),sK6_skl)),succ(X0),sK6_skl)
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),sK6_skl)),succ(X0),sK6_skl),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),sK6_skl)),succ(X0),sK6_skl))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),sK6_skl)),succ(X0),sK6_skl),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK6_skl)) = sK3_skl(sK11_skl(succ(X0),sK6_skl))
| sP0_prd(sK10_skl(succ(X0),sK6_skl),sK9_skl(succ(X0),sK6_skl),sK8_skl(succ(X0),sK6_skl),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( ~ sQ28_spl
| sQ32_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f323,f116,f325,f290]) ).
fof(f331,plain,
! [X0] :
( ~ sQ13_spl
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| sP0_prd(sK10_skl(X0,sK5_skl),sK10_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0)
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f226,f127]) ).
fof(f332,plain,
! [X0] :
( ~ sQ13_spl
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) = sK2_skl(sK11_skl(X0,sK5_skl))
| sP0_prd(sK10_skl(X0,sK5_skl),sK10_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0)
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f226,f126]) ).
fof(f333,definition,
! [X0] :
( sQ33_spl
<=> ( sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| sP0_prd(sK10_skl(X0,sK5_skl),sK10_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f334,plain,
! [X0] :
( ~ sQ33_spl
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| sP0_prd(sK10_skl(X0,sK5_skl),sK10_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0) ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,plain,
( ~ sQ13_spl
| sQ33_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f331,f101,f333,f206]) ).
fof(f337,definition,
! [X0] :
( sQ34_spl
<=> ( sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) = sK2_skl(sK11_skl(X0,sK5_skl))
| sP0_prd(sK10_skl(X0,sK5_skl),sK10_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f340,plain,
( ~ sQ13_spl
| sQ34_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f332,f101,f337,f206]) ).
fof(f341,plain,
! [X0] :
( ~ sQ33_spl
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| sP0_prd(sK10_skl(X0,sK5_skl),sK10_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0) ),
inference(duplicate_literals_removal,[status(thm)],[f334]) ).
fof(f342,plain,
! [X0] :
( ~ sQ33_spl
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f341,f85]) ).
fof(f345,plain,
! [X0,X1] :
( ~ sQ33_spl
| sK2_skl(sK11_skl(succ(X0),sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(succ(X0),sK5_skl)),succ(X0),sK5_skl)
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),sK5_skl)),succ(X0),sK5_skl),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),sK5_skl)),succ(X0),sK5_skl))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),sK5_skl)),succ(X0),sK5_skl),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK5_skl)) = sK3_skl(sK11_skl(succ(X0),sK5_skl))
| sP0_prd(sK10_skl(succ(X0),sK5_skl),sK9_skl(succ(X0),sK5_skl),sK8_skl(succ(X0),sK5_skl),succ(X0))
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f342,f142]) ).
fof(f346,plain,
! [X0] :
( ~ sQ33_spl
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sP0_prd(sK10_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0)
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f342,f146]) ).
fof(f347,plain,
! [X0] :
( ~ sQ33_spl
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| in(sK13_skl(sK3_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl),X0)
| sP0_prd(sK10_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0)
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f342,f128]) ).
fof(f348,plain,
! [X0,X1] :
( ~ sQ33_spl
| ~ sQ7_spl
| sK2_skl(sK11_skl(X1,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl)
| in(sK2_skl(sK11_skl(X1,sK5_skl)),sK11_skl(X1,sK5_skl))
| ~ in(sK2_skl(sK11_skl(X1,sK5_skl)),X0)
| ~ ordinal(sK3_skl(sK11_skl(X1,sK5_skl)))
| in(sK2_skl(sK11_skl(X1,sK5_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(paramodulation,[status(thm)],[f342,f137]) ).
fof(f353,plain,
! [X0] :
( ~ sQ33_spl
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| in(sK3_skl(sK11_skl(X0,sK5_skl)),succ(sK0_skl))
| in(sK2_skl(sK11_skl(X0,sK5_skl)),sK11_skl(X0,sK5_skl)) ),
inference(paramodulation,[status(thm)],[f342,f21]) ).
fof(f356,definition,
! [X0,X1] :
( sQ35_spl
<=> ( sK2_skl(sK11_skl(succ(X0),sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(succ(X0),sK5_skl)),succ(X0),sK5_skl)
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),sK5_skl)),succ(X0),sK5_skl),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),sK5_skl)),succ(X0),sK5_skl))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),sK5_skl)),succ(X0),sK5_skl),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK5_skl)) = sK3_skl(sK11_skl(succ(X0),sK5_skl))
| sP0_prd(sK10_skl(succ(X0),sK5_skl),sK9_skl(succ(X0),sK5_skl),sK8_skl(succ(X0),sK5_skl),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f359,plain,
( ~ sQ33_spl
| sQ35_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f345,f101,f356,f333]) ).
fof(f360,definition,
! [X0] :
( sQ36_spl
<=> ( sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sP0_prd(sK10_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f363,plain,
( ~ sQ33_spl
| sQ36_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f346,f101,f360,f333]) ).
fof(f364,definition,
! [X0] :
( sQ37_spl
<=> ( sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| in(sK13_skl(sK3_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl),X0)
| sP0_prd(sK10_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( ~ sQ33_spl
| sQ37_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f347,f101,f364,f333]) ).
fof(f368,plain,
! [X0,X1] :
( ~ sQ33_spl
| ~ sQ7_spl
| sK2_skl(sK11_skl(X1,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl)
| in(sK2_skl(sK11_skl(X1,sK5_skl)),sK11_skl(X1,sK5_skl))
| ~ in(sK2_skl(sK11_skl(X1,sK5_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK5_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f348,f22]) ).
fof(f371,plain,
! [X0] :
( ~ sQ18_spl
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| sP0_prd(sK10_skl(X0,sK4_skl),sK10_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0)
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f255,f127]) ).
fof(f372,plain,
! [X0] :
( ~ sQ18_spl
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) = sK2_skl(sK11_skl(X0,sK4_skl))
| sP0_prd(sK10_skl(X0,sK4_skl),sK10_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0)
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f255,f126]) ).
fof(f373,definition,
! [X0] :
( sQ38_spl
<=> ( sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| sP0_prd(sK10_skl(X0,sK4_skl),sK10_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f374,plain,
! [X0] :
( ~ sQ38_spl
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| sP0_prd(sK10_skl(X0,sK4_skl),sK10_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0) ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f376,plain,
( ~ sQ18_spl
| sQ38_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f371,f93,f373,f235]) ).
fof(f377,definition,
! [X0] :
( sQ39_spl
<=> ( sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) = sK2_skl(sK11_skl(X0,sK4_skl))
| sP0_prd(sK10_skl(X0,sK4_skl),sK10_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( ~ sQ18_spl
| sQ39_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f372,f93,f377,f235]) ).
fof(f381,plain,
! [X0] :
( ~ sQ38_spl
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| sP0_prd(sK10_skl(X0,sK4_skl),sK10_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0) ),
inference(duplicate_literals_removal,[status(thm)],[f374]) ).
fof(f382,plain,
! [X0] :
( ~ sQ38_spl
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f381,f85]) ).
fof(f385,plain,
! [X0,X1] :
( ~ sQ38_spl
| sK2_skl(sK11_skl(succ(X0),sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(succ(X0),sK4_skl)),succ(X0),sK4_skl)
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),sK4_skl)),succ(X0),sK4_skl),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),sK4_skl)),succ(X0),sK4_skl))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),sK4_skl)),succ(X0),sK4_skl),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK4_skl)) = sK3_skl(sK11_skl(succ(X0),sK4_skl))
| sP0_prd(sK10_skl(succ(X0),sK4_skl),sK9_skl(succ(X0),sK4_skl),sK8_skl(succ(X0),sK4_skl),succ(X0))
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f382,f142]) ).
fof(f386,plain,
! [X0] :
( ~ sQ38_spl
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sP0_prd(sK10_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0)
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f382,f146]) ).
fof(f387,plain,
! [X0] :
( ~ sQ38_spl
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| in(sK13_skl(sK3_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl),X0)
| sP0_prd(sK10_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0)
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f382,f128]) ).
fof(f388,plain,
! [X0,X1] :
( ~ sQ38_spl
| ~ sQ7_spl
| sK2_skl(sK11_skl(X1,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl)
| in(sK2_skl(sK11_skl(X1,sK4_skl)),sK11_skl(X1,sK4_skl))
| ~ in(sK2_skl(sK11_skl(X1,sK4_skl)),X0)
| ~ ordinal(sK3_skl(sK11_skl(X1,sK4_skl)))
| in(sK2_skl(sK11_skl(X1,sK4_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(paramodulation,[status(thm)],[f382,f137]) ).
fof(f393,plain,
! [X0] :
( ~ sQ38_spl
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| in(sK3_skl(sK11_skl(X0,sK4_skl)),succ(sK0_skl))
| in(sK2_skl(sK11_skl(X0,sK4_skl)),sK11_skl(X0,sK4_skl)) ),
inference(paramodulation,[status(thm)],[f382,f21]) ).
fof(f396,definition,
! [X0,X1] :
( sQ40_spl
<=> ( sK2_skl(sK11_skl(succ(X0),sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(succ(X0),sK4_skl)),succ(X0),sK4_skl)
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),sK4_skl)),succ(X0),sK4_skl),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),sK4_skl)),succ(X0),sK4_skl))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),sK4_skl)),succ(X0),sK4_skl),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK4_skl)) = sK3_skl(sK11_skl(succ(X0),sK4_skl))
| sP0_prd(sK10_skl(succ(X0),sK4_skl),sK9_skl(succ(X0),sK4_skl),sK8_skl(succ(X0),sK4_skl),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( ~ sQ38_spl
| sQ40_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f385,f93,f396,f373]) ).
fof(f400,definition,
! [X0] :
( sQ41_spl
<=> ( sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sP0_prd(sK10_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f403,plain,
( ~ sQ38_spl
| sQ41_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f386,f93,f400,f373]) ).
fof(f404,definition,
! [X0] :
( sQ42_spl
<=> ( sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| in(sK13_skl(sK3_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl),X0)
| sP0_prd(sK10_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f407,plain,
( ~ sQ38_spl
| sQ42_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f387,f93,f404,f373]) ).
fof(f408,plain,
! [X0,X1] :
( ~ sQ38_spl
| ~ sQ7_spl
| sK2_skl(sK11_skl(X1,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl)
| in(sK2_skl(sK11_skl(X1,sK4_skl)),sK11_skl(X1,sK4_skl))
| ~ in(sK2_skl(sK11_skl(X1,sK4_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK4_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f388,f22]) ).
fof(f411,plain,
! [X0] :
( ~ sQ23_spl
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| sP0_prd(sK10_skl(X0,sK0_skl),sK10_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0)
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f284,f127]) ).
fof(f412,plain,
! [X0] :
( ~ sQ23_spl
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) = sK2_skl(sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK10_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0)
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f284,f126]) ).
fof(f413,definition,
! [X0] :
( sQ43_spl
<=> ( sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| sP0_prd(sK10_skl(X0,sK0_skl),sK10_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f414,plain,
! [X0] :
( ~ sQ43_spl
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| sP0_prd(sK10_skl(X0,sK0_skl),sK10_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f416,plain,
( ~ sQ23_spl
| sQ43_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f411,f133,f413,f264]) ).
fof(f417,definition,
! [X0] :
( sQ44_spl
<=> ( sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) = sK2_skl(sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK10_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f420,plain,
( ~ sQ23_spl
| sQ44_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f412,f133,f417,f264]) ).
fof(f421,plain,
! [X0] :
( ~ sQ43_spl
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| sP0_prd(sK10_skl(X0,sK0_skl),sK10_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(duplicate_literals_removal,[status(thm)],[f414]) ).
fof(f422,plain,
! [X0] :
( ~ sQ43_spl
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f421,f85]) ).
fof(f425,plain,
! [X0,X1] :
( ~ sQ43_spl
| sK2_skl(sK11_skl(succ(X0),sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(succ(X0),sK0_skl)),succ(X0),sK0_skl)
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),sK0_skl)),succ(X0),sK0_skl),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),sK0_skl)),succ(X0),sK0_skl))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),sK0_skl)),succ(X0),sK0_skl),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK0_skl)) = sK3_skl(sK11_skl(succ(X0),sK0_skl))
| sP0_prd(sK10_skl(succ(X0),sK0_skl),sK9_skl(succ(X0),sK0_skl),sK8_skl(succ(X0),sK0_skl),succ(X0))
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f422,f142]) ).
fof(f426,plain,
! [X0] :
( ~ sQ43_spl
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0)
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f422,f146]) ).
fof(f427,plain,
! [X0] :
( ~ sQ43_spl
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| in(sK13_skl(sK3_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl),X0)
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0)
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f422,f128]) ).
fof(f428,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ7_spl
| sK2_skl(sK11_skl(X1,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl)
| in(sK2_skl(sK11_skl(X1,sK0_skl)),sK11_skl(X1,sK0_skl))
| ~ in(sK2_skl(sK11_skl(X1,sK0_skl)),X0)
| ~ ordinal(sK3_skl(sK11_skl(X1,sK0_skl)))
| in(sK2_skl(sK11_skl(X1,sK0_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(paramodulation,[status(thm)],[f422,f137]) ).
fof(f433,plain,
! [X0] :
( ~ sQ43_spl
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| in(sK3_skl(sK11_skl(X0,sK0_skl)),succ(sK0_skl))
| in(sK2_skl(sK11_skl(X0,sK0_skl)),sK11_skl(X0,sK0_skl)) ),
inference(paramodulation,[status(thm)],[f422,f21]) ).
fof(f435,plain,
! [X0] :
( ~ sQ43_spl
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| sK3_skl(sK11_skl(X0,sK0_skl)) != sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) ),
inference(equality_factoring,[status(thm)],[f422]) ).
fof(f436,definition,
! [X0,X1] :
( sQ45_spl
<=> ( sK2_skl(sK11_skl(succ(X0),sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(succ(X0),sK0_skl)),succ(X0),sK0_skl)
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),sK0_skl)),succ(X0),sK0_skl),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),sK0_skl)),succ(X0),sK0_skl))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),sK0_skl)),succ(X0),sK0_skl),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK0_skl)) = sK3_skl(sK11_skl(succ(X0),sK0_skl))
| sP0_prd(sK10_skl(succ(X0),sK0_skl),sK9_skl(succ(X0),sK0_skl),sK8_skl(succ(X0),sK0_skl),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f439,plain,
( ~ sQ43_spl
| sQ45_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f425,f133,f436,f413]) ).
fof(f440,definition,
! [X0] :
( sQ46_spl
<=> ( sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f443,plain,
( ~ sQ43_spl
| sQ46_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f426,f133,f440,f413]) ).
fof(f444,definition,
! [X0] :
( sQ47_spl
<=> ( sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| in(sK13_skl(sK3_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl),X0)
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( ~ sQ43_spl
| sQ47_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f427,f133,f444,f413]) ).
fof(f448,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ7_spl
| sK2_skl(sK11_skl(X1,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl)
| in(sK2_skl(sK11_skl(X1,sK0_skl)),sK11_skl(X1,sK0_skl))
| ~ in(sK2_skl(sK11_skl(X1,sK0_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK0_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f428,f22]) ).
fof(f453,plain,
! [X0,X1,X2] :
( sK8_skl(sK11_skl(X1,X2),X0) = sK10_skl(sK11_skl(X1,X2),X0)
| in(sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0),X1,X2),X1)
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f143,f77]) ).
fof(f454,plain,
! [X0,X1,X2] :
( sK8_skl(sK11_skl(X1,X2),X0) = sK9_skl(sK11_skl(X1,X2),X0)
| in(sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0),X1,X2),X1)
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f143,f73]) ).
fof(f456,plain,
! [X0,X1,X2] :
( in(sK14_skl(sK10_skl(sK11_skl(X1,X2),X0),sK9_skl(sK11_skl(X1,X2),X0),sK8_skl(sK11_skl(X1,X2),X0),sK11_skl(X1,X2)),sK11_skl(X1,X2))
| sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0) = sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0),X1,X2)
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f144,f76]) ).
fof(f457,plain,
! [X0,X1,X2] :
( sK10_skl(sK11_skl(X1,X2),X0) = sK15_skl(sK10_skl(sK11_skl(X1,X2),X0),sK9_skl(sK11_skl(X1,X2),X0),sK8_skl(sK11_skl(X1,X2),X0),sK11_skl(X1,X2))
| sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0) = sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0),X1,X2)
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f144,f79]) ).
fof(f458,plain,
! [X0,X1,X2] :
( sK9_skl(sK11_skl(X1,X2),X0) = sK14_skl(sK10_skl(sK11_skl(X1,X2),X0),sK9_skl(sK11_skl(X1,X2),X0),sK8_skl(sK11_skl(X1,X2),X0),sK11_skl(X1,X2))
| sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0) = sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0),X1,X2)
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f144,f75]) ).
fof(f459,plain,
! [X0,X1,X2] :
( sK8_skl(sK11_skl(X1,X2),X0) = sK10_skl(sK11_skl(X1,X2),X0)
| sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0) = sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0),X1,X2)
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f144,f77]) ).
fof(f460,plain,
! [X0,X1,X2] :
( sK8_skl(sK11_skl(X1,X2),X0) = sK9_skl(sK11_skl(X1,X2),X0)
| sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0) = sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0),X1,X2)
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f144,f73]) ).
fof(f462,plain,
! [X0,X1,X2] :
( in(sK14_skl(sK10_skl(sK11_skl(X1,X2),X0),sK9_skl(sK11_skl(X1,X2),X0),sK8_skl(sK11_skl(X1,X2),X0),sK11_skl(X1,X2)),sK11_skl(X1,X2))
| sK12_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0),X1,X2) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0)
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f145,f76]) ).
fof(f463,plain,
! [X0,X1,X2] :
( sK10_skl(sK11_skl(X1,X2),X0) = sK15_skl(sK10_skl(sK11_skl(X1,X2),X0),sK9_skl(sK11_skl(X1,X2),X0),sK8_skl(sK11_skl(X1,X2),X0),sK11_skl(X1,X2))
| sK12_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0),X1,X2) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0)
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f145,f79]) ).
fof(f464,plain,
! [X0,X1,X2] :
( sK9_skl(sK11_skl(X1,X2),X0) = sK14_skl(sK10_skl(sK11_skl(X1,X2),X0),sK9_skl(sK11_skl(X1,X2),X0),sK8_skl(sK11_skl(X1,X2),X0),sK11_skl(X1,X2))
| sK12_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0),X1,X2) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0)
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f145,f75]) ).
fof(f465,plain,
! [X0,X1,X2] :
( sK8_skl(sK11_skl(X1,X2),X0) = sK10_skl(sK11_skl(X1,X2),X0)
| sK12_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0),X1,X2) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0)
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f145,f77]) ).
fof(f466,plain,
! [X0,X1,X2] :
( sK8_skl(sK11_skl(X1,X2),X0) = sK9_skl(sK11_skl(X1,X2),X0)
| sK12_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0),X1,X2) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0)
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f145,f73]) ).
fof(f475,plain,
! [X0,X1,X2] :
( sK15_skl(sK10_skl(sK11_skl(X1,X2),X0),sK9_skl(sK11_skl(X1,X2),X0),sK8_skl(sK11_skl(X1,X2),X0),sK11_skl(X1,X2)) = sK13_skl(sK15_skl(sK10_skl(sK11_skl(X1,X2),X0),sK9_skl(sK11_skl(X1,X2),X0),sK8_skl(sK11_skl(X1,X2),X0),sK11_skl(X1,X2)),X1,X2)
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0) = sK2_skl(sK11_skl(sK11_skl(X1,X2),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f147,f67]) ).
fof(f476,plain,
! [X0,X1,X2] :
( sK12_skl(sK15_skl(sK10_skl(sK11_skl(X1,X2),X0),sK9_skl(sK11_skl(X1,X2),X0),sK8_skl(sK11_skl(X1,X2),X0),sK11_skl(X1,X2)),X1,X2) = sK15_skl(sK10_skl(sK11_skl(X1,X2),X0),sK9_skl(sK11_skl(X1,X2),X0),sK8_skl(sK11_skl(X1,X2),X0),sK11_skl(X1,X2))
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0) = sK2_skl(sK11_skl(sK11_skl(X1,X2),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f147,f65]) ).
fof(f478,plain,
! [X0,X1] :
( ~ sQ28_spl
| ~ in(sK3_skl(sK11_skl(X0,sK6_skl)),X1)
| ~ ordinal(sK3_skl(sK11_skl(X0,sK6_skl)))
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X1,sK0_skl))
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| in(sK2_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl)) ),
inference(resolution,[status(thm)],[f308,f84]) ).
fof(f480,definition,
! [X0,X1] :
( sQ48_spl
<=> ( ~ in(sK3_skl(sK11_skl(X0,sK6_skl)),X1)
| ~ ordinal(sK3_skl(sK11_skl(X0,sK6_skl)))
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X1,sK0_skl))
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| in(sK2_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f481,plain,
! [X0,X1] :
( ~ sQ48_spl
| ~ in(sK3_skl(sK11_skl(X0,sK6_skl)),X1)
| ~ ordinal(sK3_skl(sK11_skl(X0,sK6_skl)))
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X1,sK0_skl))
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| in(sK2_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl)) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,plain,
( ~ sQ28_spl
| ~ sQ6_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f478,f480,f133,f290]) ).
fof(f484,plain,
! [X0,X1] :
( ~ sQ48_spl
| ~ in(sK3_skl(sK11_skl(X0,sK6_skl)),X1)
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X1,sK0_skl))
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| in(sK2_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f481,f22]) ).
fof(f485,plain,
! [X0,X1] :
( ~ sQ33_spl
| ~ in(sK3_skl(sK11_skl(X0,sK5_skl)),X1)
| ~ ordinal(sK3_skl(sK11_skl(X0,sK5_skl)))
| in(sK3_skl(sK11_skl(X0,sK5_skl)),sK11_skl(X1,sK0_skl))
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| in(sK2_skl(sK11_skl(X0,sK5_skl)),sK11_skl(X0,sK5_skl)) ),
inference(resolution,[status(thm)],[f353,f84]) ).
fof(f487,definition,
! [X0,X1] :
( sQ49_spl
<=> ( ~ in(sK3_skl(sK11_skl(X0,sK5_skl)),X1)
| ~ ordinal(sK3_skl(sK11_skl(X0,sK5_skl)))
| in(sK3_skl(sK11_skl(X0,sK5_skl)),sK11_skl(X1,sK0_skl))
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| in(sK2_skl(sK11_skl(X0,sK5_skl)),sK11_skl(X0,sK5_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f490,plain,
( ~ sQ33_spl
| ~ sQ6_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f485,f487,f133,f333]) ).
fof(f492,plain,
! [X0,X1] :
( ~ sQ38_spl
| ~ in(sK3_skl(sK11_skl(X0,sK4_skl)),X1)
| ~ ordinal(sK3_skl(sK11_skl(X0,sK4_skl)))
| in(sK3_skl(sK11_skl(X0,sK4_skl)),sK11_skl(X1,sK0_skl))
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| in(sK2_skl(sK11_skl(X0,sK4_skl)),sK11_skl(X0,sK4_skl)) ),
inference(resolution,[status(thm)],[f393,f84]) ).
fof(f494,definition,
! [X0,X1] :
( sQ50_spl
<=> ( ~ in(sK3_skl(sK11_skl(X0,sK4_skl)),X1)
| ~ ordinal(sK3_skl(sK11_skl(X0,sK4_skl)))
| in(sK3_skl(sK11_skl(X0,sK4_skl)),sK11_skl(X1,sK0_skl))
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| in(sK2_skl(sK11_skl(X0,sK4_skl)),sK11_skl(X0,sK4_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f497,plain,
( ~ sQ38_spl
| ~ sQ6_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f492,f494,f133,f373]) ).
fof(f499,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ in(sK3_skl(sK11_skl(X0,sK0_skl)),X1)
| ~ ordinal(sK3_skl(sK11_skl(X0,sK0_skl)))
| in(sK3_skl(sK11_skl(X0,sK0_skl)),sK11_skl(X1,sK0_skl))
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| in(sK2_skl(sK11_skl(X0,sK0_skl)),sK11_skl(X0,sK0_skl)) ),
inference(resolution,[status(thm)],[f433,f84]) ).
fof(f501,definition,
! [X0,X1] :
( sQ51_spl
<=> ( ~ in(sK3_skl(sK11_skl(X0,sK0_skl)),X1)
| ~ ordinal(sK3_skl(sK11_skl(X0,sK0_skl)))
| in(sK3_skl(sK11_skl(X0,sK0_skl)),sK11_skl(X1,sK0_skl))
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| in(sK2_skl(sK11_skl(X0,sK0_skl)),sK11_skl(X0,sK0_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( ~ sQ43_spl
| ~ sQ6_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f499,f501,f133,f413]) ).
fof(f506,plain,
! [X0,X1,X2] :
( ~ in(sK14_skl(sK10_skl(succ(X1),X0),sK9_skl(succ(X1),X0),sK8_skl(succ(X1),X0),succ(X1)),X2)
| ~ ordinal(sK14_skl(sK10_skl(succ(X1),X0),sK9_skl(succ(X1),X0),sK8_skl(succ(X1),X0),succ(X1)))
| in(sK14_skl(sK10_skl(succ(X1),X0),sK9_skl(succ(X1),X0),sK8_skl(succ(X1),X0),succ(X1)),sK11_skl(X2,X1))
| sP0_prd(sK10_skl(X2,X1),sK9_skl(X2,X1),sK8_skl(X2,X1),X2)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(succ(X1),X0)) = sK3_skl(sK11_skl(succ(X1),X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X1),X0)),succ(X1),X0) = sK2_skl(sK11_skl(succ(X1),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f148,f84]) ).
fof(f507,plain,
! [X0,X1,X2] :
( in(sK13_skl(sK14_skl(sK10_skl(sK11_skl(X1,X2),X0),sK9_skl(sK11_skl(X1,X2),X0),sK8_skl(sK11_skl(X1,X2),X0),sK11_skl(X1,X2)),X1,X2),X1)
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0) = sK2_skl(sK11_skl(sK11_skl(X1,X2),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f148,f68]) ).
fof(f508,plain,
! [X0,X1,X2] :
( sK14_skl(sK10_skl(sK11_skl(X1,X2),X0),sK9_skl(sK11_skl(X1,X2),X0),sK8_skl(sK11_skl(X1,X2),X0),sK11_skl(X1,X2)) = sK13_skl(sK14_skl(sK10_skl(sK11_skl(X1,X2),X0),sK9_skl(sK11_skl(X1,X2),X0),sK8_skl(sK11_skl(X1,X2),X0),sK11_skl(X1,X2)),X1,X2)
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0) = sK2_skl(sK11_skl(sK11_skl(X1,X2),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f148,f67]) ).
fof(f509,plain,
! [X0,X1,X2] :
( sK12_skl(sK14_skl(sK10_skl(sK11_skl(X1,X2),X0),sK9_skl(sK11_skl(X1,X2),X0),sK8_skl(sK11_skl(X1,X2),X0),sK11_skl(X1,X2)),X1,X2) = sK14_skl(sK10_skl(sK11_skl(X1,X2),X0),sK9_skl(sK11_skl(X1,X2),X0),sK8_skl(sK11_skl(X1,X2),X0),sK11_skl(X1,X2))
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0) = sK2_skl(sK11_skl(sK11_skl(X1,X2),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f148,f65]) ).
fof(f510,plain,
! [X0,X1] :
( ~ in(X1,sK14_skl(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1))
| sK2_skl(sK11_skl(X1,X0)) = sK3_skl(sK11_skl(X1,X0))
| sK12_skl(sK2_skl(sK11_skl(X1,X0)),X1,X0) = sK2_skl(sK11_skl(X1,X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f148,f48]) ).
fof(f511,plain,
! [X0,X1,X2,X3] :
( ~ in(X1,sK11_skl(X2,X3))
| sP0_prd(sK10_skl(X2,X3),sK9_skl(X2,X3),sK8_skl(X2,X3),X2)
| ~ ordinal(X3)
| sK10_skl(X0,sK13_skl(X1,X2,X3)) = sK15_skl(sK10_skl(X0,sK13_skl(X1,X2,X3)),sK9_skl(X0,sK13_skl(X1,X2,X3)),sK8_skl(X0,sK13_skl(X1,X2,X3)),X0)
| sK2_skl(sK11_skl(X0,sK13_skl(X1,X2,X3))) = sK3_skl(sK11_skl(X0,sK13_skl(X1,X2,X3)))
| sK12_skl(sK2_skl(sK11_skl(X0,sK13_skl(X1,X2,X3))),X0,sK13_skl(X1,X2,X3)) = sK2_skl(sK11_skl(X0,sK13_skl(X1,X2,X3))) ),
inference(resolution,[status(thm)],[f149,f66]) ).
fof(f514,plain,
! [X0] :
( ~ sQ5_spl
| sK10_skl(X0,sK6_skl) = sK15_skl(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) = sK2_skl(sK11_skl(X0,sK6_skl)) ),
inference(resolution,[status(thm)],[f149,f117]) ).
fof(f515,plain,
! [X0] :
( sK10_skl(X0,sK5_skl) = sK15_skl(sK10_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) = sK2_skl(sK11_skl(X0,sK5_skl)) ),
inference(resolution,[status(thm)],[f149,f42]) ).
fof(f516,plain,
! [X0] :
( sK10_skl(X0,sK4_skl) = sK15_skl(sK10_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) = sK2_skl(sK11_skl(X0,sK4_skl)) ),
inference(resolution,[status(thm)],[f149,f33]) ).
fof(f519,plain,
! [X0] :
( sK10_skl(X0,sK0_skl) = sK15_skl(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) = sK2_skl(sK11_skl(X0,sK0_skl)) ),
inference(resolution,[status(thm)],[f149,f20]) ).
fof(f521,plain,
! [X0,X1,X2,X3] :
( ~ in(X1,sK11_skl(X2,X3))
| sP0_prd(sK10_skl(X2,X3),sK9_skl(X2,X3),sK8_skl(X2,X3),X2)
| ~ ordinal(X3)
| sK9_skl(X0,sK13_skl(X1,X2,X3)) = sK14_skl(sK10_skl(X0,sK13_skl(X1,X2,X3)),sK9_skl(X0,sK13_skl(X1,X2,X3)),sK8_skl(X0,sK13_skl(X1,X2,X3)),X0)
| sK2_skl(sK11_skl(X0,sK13_skl(X1,X2,X3))) = sK3_skl(sK11_skl(X0,sK13_skl(X1,X2,X3)))
| sK12_skl(sK2_skl(sK11_skl(X0,sK13_skl(X1,X2,X3))),X0,sK13_skl(X1,X2,X3)) = sK2_skl(sK11_skl(X0,sK13_skl(X1,X2,X3))) ),
inference(resolution,[status(thm)],[f150,f66]) ).
fof(f524,plain,
! [X0] :
( ~ sQ5_spl
| sK9_skl(X0,sK6_skl) = sK14_skl(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) = sK2_skl(sK11_skl(X0,sK6_skl)) ),
inference(resolution,[status(thm)],[f150,f117]) ).
fof(f525,plain,
! [X0] :
( sK9_skl(X0,sK5_skl) = sK14_skl(sK10_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) = sK2_skl(sK11_skl(X0,sK5_skl)) ),
inference(resolution,[status(thm)],[f150,f42]) ).
fof(f526,plain,
! [X0] :
( sK9_skl(X0,sK4_skl) = sK14_skl(sK10_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) = sK2_skl(sK11_skl(X0,sK4_skl)) ),
inference(resolution,[status(thm)],[f150,f33]) ).
fof(f529,plain,
! [X0] :
( sK9_skl(X0,sK0_skl) = sK14_skl(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) = sK2_skl(sK11_skl(X0,sK0_skl)) ),
inference(resolution,[status(thm)],[f150,f20]) ).
fof(f533,plain,
! [X0,X1,X2] :
( sK15_skl(sK10_skl(sK11_skl(X1,X2),X0),sK9_skl(sK11_skl(X1,X2),X0),sK8_skl(sK11_skl(X1,X2),X0),sK11_skl(X1,X2)) = sK13_skl(sK15_skl(sK10_skl(sK11_skl(X1,X2),X0),sK9_skl(sK11_skl(X1,X2),X0),sK8_skl(sK11_skl(X1,X2),X0),sK11_skl(X1,X2)),X1,X2)
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0)
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f153,f67]) ).
fof(f534,plain,
! [X0,X1,X2] :
( sK12_skl(sK15_skl(sK10_skl(sK11_skl(X1,X2),X0),sK9_skl(sK11_skl(X1,X2),X0),sK8_skl(sK11_skl(X1,X2),X0),sK11_skl(X1,X2)),X1,X2) = sK15_skl(sK10_skl(sK11_skl(X1,X2),X0),sK9_skl(sK11_skl(X1,X2),X0),sK8_skl(sK11_skl(X1,X2),X0),sK11_skl(X1,X2))
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0)
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f153,f65]) ).
fof(f536,plain,
! [X0,X1,X2] :
( ~ in(sK14_skl(sK10_skl(succ(X1),X0),sK9_skl(succ(X1),X0),sK8_skl(succ(X1),X0),succ(X1)),X2)
| ~ ordinal(sK14_skl(sK10_skl(succ(X1),X0),sK9_skl(succ(X1),X0),sK8_skl(succ(X1),X0),succ(X1)))
| in(sK14_skl(sK10_skl(succ(X1),X0),sK9_skl(succ(X1),X0),sK8_skl(succ(X1),X0),succ(X1)),sK11_skl(X2,X1))
| sP0_prd(sK10_skl(X2,X1),sK9_skl(X2,X1),sK8_skl(X2,X1),X2)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(succ(X1),X0)) = sK3_skl(sK11_skl(succ(X1),X0))
| sK2_skl(sK11_skl(succ(X1),X0)) = sK13_skl(sK2_skl(sK11_skl(succ(X1),X0)),succ(X1),X0)
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f154,f84]) ).
fof(f537,plain,
! [X0,X1,X2] :
( in(sK13_skl(sK14_skl(sK10_skl(sK11_skl(X1,X2),X0),sK9_skl(sK11_skl(X1,X2),X0),sK8_skl(sK11_skl(X1,X2),X0),sK11_skl(X1,X2)),X1,X2),X1)
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0)
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f154,f68]) ).
fof(f538,plain,
! [X0,X1,X2] :
( sK14_skl(sK10_skl(sK11_skl(X1,X2),X0),sK9_skl(sK11_skl(X1,X2),X0),sK8_skl(sK11_skl(X1,X2),X0),sK11_skl(X1,X2)) = sK13_skl(sK14_skl(sK10_skl(sK11_skl(X1,X2),X0),sK9_skl(sK11_skl(X1,X2),X0),sK8_skl(sK11_skl(X1,X2),X0),sK11_skl(X1,X2)),X1,X2)
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0)
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f154,f67]) ).
fof(f539,plain,
! [X0,X1,X2] :
( sK12_skl(sK14_skl(sK10_skl(sK11_skl(X1,X2),X0),sK9_skl(sK11_skl(X1,X2),X0),sK8_skl(sK11_skl(X1,X2),X0),sK11_skl(X1,X2)),X1,X2) = sK14_skl(sK10_skl(sK11_skl(X1,X2),X0),sK9_skl(sK11_skl(X1,X2),X0),sK8_skl(sK11_skl(X1,X2),X0),sK11_skl(X1,X2))
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0)
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f154,f65]) ).
fof(f540,plain,
! [X0,X1] :
( ~ in(X1,sK14_skl(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1))
| sK2_skl(sK11_skl(X1,X0)) = sK3_skl(sK11_skl(X1,X0))
| sK2_skl(sK11_skl(X1,X0)) = sK13_skl(sK2_skl(sK11_skl(X1,X0)),X1,X0)
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f154,f48]) ).
fof(f541,plain,
! [X0,X1,X2,X3] :
( ~ in(X1,sK11_skl(X2,X3))
| sP0_prd(sK10_skl(X2,X3),sK9_skl(X2,X3),sK8_skl(X2,X3),X2)
| ~ ordinal(X3)
| sK10_skl(X0,sK13_skl(X1,X2,X3)) = sK15_skl(sK10_skl(X0,sK13_skl(X1,X2,X3)),sK9_skl(X0,sK13_skl(X1,X2,X3)),sK8_skl(X0,sK13_skl(X1,X2,X3)),X0)
| sK2_skl(sK11_skl(X0,sK13_skl(X1,X2,X3))) = sK3_skl(sK11_skl(X0,sK13_skl(X1,X2,X3)))
| sK2_skl(sK11_skl(X0,sK13_skl(X1,X2,X3))) = sK13_skl(sK2_skl(sK11_skl(X0,sK13_skl(X1,X2,X3))),X0,sK13_skl(X1,X2,X3)) ),
inference(resolution,[status(thm)],[f155,f66]) ).
fof(f551,plain,
! [X0,X1,X2,X3] :
( ~ in(X1,sK11_skl(X2,X3))
| sP0_prd(sK10_skl(X2,X3),sK9_skl(X2,X3),sK8_skl(X2,X3),X2)
| ~ ordinal(X3)
| sK9_skl(X0,sK13_skl(X1,X2,X3)) = sK14_skl(sK10_skl(X0,sK13_skl(X1,X2,X3)),sK9_skl(X0,sK13_skl(X1,X2,X3)),sK8_skl(X0,sK13_skl(X1,X2,X3)),X0)
| sK2_skl(sK11_skl(X0,sK13_skl(X1,X2,X3))) = sK3_skl(sK11_skl(X0,sK13_skl(X1,X2,X3)))
| sK2_skl(sK11_skl(X0,sK13_skl(X1,X2,X3))) = sK13_skl(sK2_skl(sK11_skl(X0,sK13_skl(X1,X2,X3))),X0,sK13_skl(X1,X2,X3)) ),
inference(resolution,[status(thm)],[f156,f66]) ).
fof(f565,plain,
! [X0,X1,X2,X3] :
( sK2_skl(sK11_skl(sK11_skl(X1,X2),X3)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X3))
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X3)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X3)),sK11_skl(X1,X2),X3)
| ~ ordinal(X3)
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK8_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)),X1,X2)) = sK9_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)),X1,X2))
| sK2_skl(sK11_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)),X1,X2))) = sK3_skl(sK11_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)),X1,X2)))
| sK2_skl(sK11_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)),X1,X2))) = sK13_skl(sK2_skl(sK11_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)),X1,X2))),X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)),X1,X2)) ),
inference(resolution,[status(thm)],[f160,f154]) ).
fof(f566,plain,
! [X0,X1,X2,X3] :
( sK2_skl(sK11_skl(sK11_skl(X1,X2),X3)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X3))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X3)),sK11_skl(X1,X2),X3) = sK2_skl(sK11_skl(sK11_skl(X1,X2),X3))
| ~ ordinal(X3)
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK8_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)),X1,X2)) = sK9_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)),X1,X2))
| sK2_skl(sK11_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)),X1,X2))) = sK3_skl(sK11_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)),X1,X2)))
| sK2_skl(sK11_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)),X1,X2))) = sK13_skl(sK2_skl(sK11_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)),X1,X2))),X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)),X1,X2)) ),
inference(resolution,[status(thm)],[f160,f148]) ).
fof(f567,plain,
! [X0,X1,X2,X3] :
( sK2_skl(sK11_skl(sK11_skl(X1,X2),X3)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X3))
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X3)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X3)),sK11_skl(X1,X2),X3)
| ~ ordinal(X3)
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK8_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)),X1,X2)) = sK9_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)),X1,X2))
| sK2_skl(sK11_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)),X1,X2))) = sK3_skl(sK11_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)),X1,X2)))
| sK2_skl(sK11_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)),X1,X2))) = sK13_skl(sK2_skl(sK11_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)),X1,X2))),X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)),X1,X2)) ),
inference(resolution,[status(thm)],[f160,f153]) ).
fof(f568,plain,
! [X0,X1,X2,X3] :
( sK2_skl(sK11_skl(sK11_skl(X1,X2),X3)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X3))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X3)),sK11_skl(X1,X2),X3) = sK2_skl(sK11_skl(sK11_skl(X1,X2),X3))
| ~ ordinal(X3)
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK8_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)),X1,X2)) = sK9_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)),X1,X2))
| sK2_skl(sK11_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)),X1,X2))) = sK3_skl(sK11_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)),X1,X2)))
| sK2_skl(sK11_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)),X1,X2))) = sK13_skl(sK2_skl(sK11_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)),X1,X2))),X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)),X1,X2)) ),
inference(resolution,[status(thm)],[f160,f147]) ).
fof(f571,plain,
! [X0,X1,X2,X3] :
( sK12_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X3)),sK11_skl(X1,X2),X3),X1,X2) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X3)),sK11_skl(X1,X2),X3)
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X3)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X3))
| ~ ordinal(X3)
| sK8_skl(X0,sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2))) = sK9_skl(X0,sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)))
| sK2_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)))) = sK3_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2))))
| sK2_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)))) = sK13_skl(sK2_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)))),X0,sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2))) ),
inference(resolution,[status(thm)],[f161,f145]) ).
fof(f572,plain,
! [X0,X1,X2,X3] :
( sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X3)),sK11_skl(X1,X2),X3) = sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X3)),sK11_skl(X1,X2),X3),X1,X2)
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X3)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X3))
| ~ ordinal(X3)
| sK8_skl(X0,sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2))) = sK9_skl(X0,sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)))
| sK2_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)))) = sK3_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2))))
| sK2_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)))) = sK13_skl(sK2_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)))),X0,sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2))) ),
inference(resolution,[status(thm)],[f161,f144]) ).
fof(f573,plain,
! [X0,X1,X2,X3] :
( in(sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X3)),sK11_skl(X1,X2),X3),X1,X2),X1)
| sP0_prd(sK10_skl(X1,X2),sK9_skl(X1,X2),sK8_skl(X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X3)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X3))
| ~ ordinal(X3)
| sK8_skl(X0,sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2))) = sK9_skl(X0,sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)))
| sK2_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)))) = sK3_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2))))
| sK2_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)))) = sK13_skl(sK2_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2)))),X0,sK15_skl(sK10_skl(sK11_skl(X1,X2),X3),sK9_skl(sK11_skl(X1,X2),X3),sK8_skl(sK11_skl(X1,X2),X3),sK11_skl(X1,X2))) ),
inference(resolution,[status(thm)],[f161,f143]) ).
fof(f576,plain,
! [X0,X1,X2,X3] :
( ~ in(X1,sK11_skl(X2,X3))
| sP0_prd(sK10_skl(X2,X3),sK9_skl(X2,X3),sK8_skl(X2,X3),X2)
| ~ ordinal(X3)
| sK8_skl(X0,succ(sK13_skl(X1,X2,X3))) = sK9_skl(X0,succ(sK13_skl(X1,X2,X3)))
| sK2_skl(sK11_skl(X0,succ(sK13_skl(X1,X2,X3)))) = sK3_skl(sK11_skl(X0,succ(sK13_skl(X1,X2,X3))))
| sK2_skl(sK11_skl(X0,succ(sK13_skl(X1,X2,X3)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK13_skl(X1,X2,X3)))),X0,succ(sK13_skl(X1,X2,X3))) ),
inference(resolution,[status(thm)],[f166,f66]) ).
fof(f579,plain,
! [X0] :
( ~ sQ5_spl
| sK8_skl(X0,succ(sK6_skl)) = sK9_skl(X0,succ(sK6_skl))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK3_skl(sK11_skl(X0,succ(sK6_skl)))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)) ),
inference(resolution,[status(thm)],[f166,f117]) ).
fof(f580,plain,
! [X0] :
( sK8_skl(X0,succ(sK5_skl)) = sK9_skl(X0,succ(sK5_skl))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK3_skl(sK11_skl(X0,succ(sK5_skl)))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)) ),
inference(resolution,[status(thm)],[f166,f42]) ).
fof(f581,plain,
! [X0] :
( sK8_skl(X0,succ(sK4_skl)) = sK9_skl(X0,succ(sK4_skl))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK3_skl(sK11_skl(X0,succ(sK4_skl)))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)) ),
inference(resolution,[status(thm)],[f166,f33]) ).
fof(f582,plain,
! [X0,X1] :
( ~ ordinal(X1)
| sK8_skl(X0,succ(succ(X1))) = sK9_skl(X0,succ(succ(X1)))
| sK2_skl(sK11_skl(X0,succ(succ(X1)))) = sK3_skl(sK11_skl(X0,succ(succ(X1))))
| sK2_skl(sK11_skl(X0,succ(succ(X1)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(X1)))),X0,succ(succ(X1))) ),
inference(resolution,[status(thm)],[f166,f57]) ).
fof(f584,plain,
! [X0] :
( sK8_skl(X0,succ(sK0_skl)) = sK9_skl(X0,succ(sK0_skl))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK3_skl(sK11_skl(X0,succ(sK0_skl)))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)) ),
inference(resolution,[status(thm)],[f166,f20]) ).
fof(f598,plain,
! [X0,X1] :
( ~ sQ5_spl
| sK10_skl(X1,sK6_skl) = sK15_skl(sK10_skl(X1,sK6_skl),sK9_skl(X1,sK6_skl),sK8_skl(X1,sK6_skl),X1)
| sK2_skl(sK11_skl(X1,sK6_skl)) = sK3_skl(sK11_skl(X1,sK6_skl))
| ~ empty(sK2_skl(sK11_skl(X1,sK6_skl)))
| ~ in(sK2_skl(sK11_skl(X1,sK6_skl)),sK11_skl(X1,sK6_skl))
| sP0_prd(sK10_skl(X1,sK6_skl),sK9_skl(X1,sK6_skl),sK8_skl(X1,sK6_skl),X1)
| ~ in(sK12_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl),X0)
| in(sK12_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl),sK11_skl(X0,sK6_skl))
| sP0_prd(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0)
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f514,f159]) ).
fof(f599,plain,
! [X0,X1] :
( ~ sQ5_spl
| sK10_skl(X1,sK6_skl) = sK15_skl(sK10_skl(X1,sK6_skl),sK9_skl(X1,sK6_skl),sK8_skl(X1,sK6_skl),X1)
| sK2_skl(sK11_skl(X1,sK6_skl)) = sK3_skl(sK11_skl(X1,sK6_skl))
| ~ in(sK2_skl(sK11_skl(X1,sK6_skl)),sK11_skl(X1,sK6_skl))
| sP0_prd(sK10_skl(X1,sK6_skl),sK9_skl(X1,sK6_skl),sK8_skl(X1,sK6_skl),X1)
| ~ in(sK12_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl),X0)
| ~ ordinal(sK2_skl(sK11_skl(X1,sK6_skl)))
| in(sK12_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl),sK11_skl(X0,sK6_skl))
| sP0_prd(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0)
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f514,f132]) ).
fof(f600,plain,
! [X0] :
( ~ sQ5_spl
| sK10_skl(X0,sK6_skl) = sK15_skl(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| ~ in(succ(sK6_skl),sK2_skl(sK11_skl(X0,sK6_skl)))
| ~ in(sK2_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl))
| sP0_prd(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0)
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f514,f125]) ).
fof(f601,plain,
! [X0] :
( ~ sQ5_spl
| sK10_skl(X0,sK6_skl) = sK15_skl(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| in(sK2_skl(sK11_skl(X0,sK6_skl)),succ(sK6_skl))
| ~ in(sK2_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl))
| sP0_prd(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0)
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f514,f64]) ).
fof(f602,definition,
! [X0,X1] :
( sQ52_spl
<=> ( sK10_skl(X1,sK6_skl) = sK15_skl(sK10_skl(X1,sK6_skl),sK9_skl(X1,sK6_skl),sK8_skl(X1,sK6_skl),X1)
| sK2_skl(sK11_skl(X1,sK6_skl)) = sK3_skl(sK11_skl(X1,sK6_skl))
| ~ empty(sK2_skl(sK11_skl(X1,sK6_skl)))
| ~ in(sK2_skl(sK11_skl(X1,sK6_skl)),sK11_skl(X1,sK6_skl))
| sP0_prd(sK10_skl(X1,sK6_skl),sK9_skl(X1,sK6_skl),sK8_skl(X1,sK6_skl),X1)
| ~ in(sK12_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl),X0)
| in(sK12_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl),sK11_skl(X0,sK6_skl))
| sP0_prd(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f605,plain,
( sQ52_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f598,f116,f602]) ).
fof(f606,definition,
! [X0,X1] :
( sQ53_spl
<=> ( sK10_skl(X1,sK6_skl) = sK15_skl(sK10_skl(X1,sK6_skl),sK9_skl(X1,sK6_skl),sK8_skl(X1,sK6_skl),X1)
| sK2_skl(sK11_skl(X1,sK6_skl)) = sK3_skl(sK11_skl(X1,sK6_skl))
| ~ in(sK2_skl(sK11_skl(X1,sK6_skl)),sK11_skl(X1,sK6_skl))
| sP0_prd(sK10_skl(X1,sK6_skl),sK9_skl(X1,sK6_skl),sK8_skl(X1,sK6_skl),X1)
| ~ in(sK12_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl),X0)
| ~ ordinal(sK2_skl(sK11_skl(X1,sK6_skl)))
| in(sK12_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl),sK11_skl(X0,sK6_skl))
| sP0_prd(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f609,plain,
( sQ53_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f599,f116,f606]) ).
fof(f610,definition,
! [X0] :
( sQ54_spl
<=> ( sK10_skl(X0,sK6_skl) = sK15_skl(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| ~ in(succ(sK6_skl),sK2_skl(sK11_skl(X0,sK6_skl)))
| ~ in(sK2_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl))
| sP0_prd(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f613,plain,
( sQ54_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f600,f116,f610]) ).
fof(f614,definition,
! [X0] :
( sQ55_spl
<=> ( sK10_skl(X0,sK6_skl) = sK15_skl(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| in(sK2_skl(sK11_skl(X0,sK6_skl)),succ(sK6_skl))
| ~ in(sK2_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl))
| sP0_prd(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f615,plain,
! [X0] :
( ~ sQ55_spl
| sK10_skl(X0,sK6_skl) = sK15_skl(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| in(sK2_skl(sK11_skl(X0,sK6_skl)),succ(sK6_skl))
| ~ in(sK2_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl))
| sP0_prd(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0) ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,plain,
( sQ55_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f601,f116,f614]) ).
fof(f621,plain,
! [X0] :
( ~ sQ55_spl
| sK10_skl(X0,sK6_skl) = sK15_skl(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| in(sK2_skl(sK11_skl(X0,sK6_skl)),succ(sK6_skl))
| ~ in(sK2_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f615,f79]) ).
fof(f629,plain,
! [X0] :
( ~ sQ43_spl
| sK2_skl(sK11_skl(succ(X0),sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(succ(X0),sK0_skl)),succ(X0),sK0_skl)
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),sK0_skl)),succ(X0),sK0_skl))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),sK0_skl)),succ(X0),sK0_skl),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK0_skl)) = sK3_skl(sK11_skl(succ(X0),sK0_skl))
| sP0_prd(sK10_skl(succ(X0),sK0_skl),sK9_skl(succ(X0),sK0_skl),sK8_skl(succ(X0),sK0_skl),succ(X0))
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f422,f324]) ).
fof(f630,plain,
! [X0] :
( ~ sQ38_spl
| sK2_skl(sK11_skl(succ(X0),sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(succ(X0),sK4_skl)),succ(X0),sK4_skl)
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),sK4_skl)),succ(X0),sK4_skl))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),sK4_skl)),succ(X0),sK4_skl),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK4_skl)) = sK3_skl(sK11_skl(succ(X0),sK4_skl))
| sP0_prd(sK10_skl(succ(X0),sK4_skl),sK9_skl(succ(X0),sK4_skl),sK8_skl(succ(X0),sK4_skl),succ(X0))
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f382,f324]) ).
fof(f631,plain,
! [X0] :
( ~ sQ33_spl
| sK2_skl(sK11_skl(succ(X0),sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(succ(X0),sK5_skl)),succ(X0),sK5_skl)
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),sK5_skl)),succ(X0),sK5_skl))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),sK5_skl)),succ(X0),sK5_skl),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK5_skl)) = sK3_skl(sK11_skl(succ(X0),sK5_skl))
| sP0_prd(sK10_skl(succ(X0),sK5_skl),sK9_skl(succ(X0),sK5_skl),sK8_skl(succ(X0),sK5_skl),succ(X0))
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f342,f324]) ).
fof(f632,plain,
! [X0] :
( ~ sQ28_spl
| sK2_skl(sK11_skl(succ(X0),sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(succ(X0),sK6_skl)),succ(X0),sK6_skl)
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),sK6_skl)),succ(X0),sK6_skl))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),sK6_skl)),succ(X0),sK6_skl),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK6_skl)) = sK3_skl(sK11_skl(succ(X0),sK6_skl))
| sP0_prd(sK10_skl(succ(X0),sK6_skl),sK9_skl(succ(X0),sK6_skl),sK8_skl(succ(X0),sK6_skl),succ(X0))
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f299,f324]) ).
fof(f635,definition,
! [X0] :
( sQ56_spl
<=> ( sK2_skl(sK11_skl(succ(X0),sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(succ(X0),sK0_skl)),succ(X0),sK0_skl)
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),sK0_skl)),succ(X0),sK0_skl))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),sK0_skl)),succ(X0),sK0_skl),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK0_skl)) = sK3_skl(sK11_skl(succ(X0),sK0_skl))
| sP0_prd(sK10_skl(succ(X0),sK0_skl),sK9_skl(succ(X0),sK0_skl),sK8_skl(succ(X0),sK0_skl),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f638,plain,
( ~ sQ43_spl
| sQ56_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f629,f133,f635,f413]) ).
fof(f639,definition,
! [X0] :
( sQ57_spl
<=> ( sK2_skl(sK11_skl(succ(X0),sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(succ(X0),sK4_skl)),succ(X0),sK4_skl)
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),sK4_skl)),succ(X0),sK4_skl))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),sK4_skl)),succ(X0),sK4_skl),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK4_skl)) = sK3_skl(sK11_skl(succ(X0),sK4_skl))
| sP0_prd(sK10_skl(succ(X0),sK4_skl),sK9_skl(succ(X0),sK4_skl),sK8_skl(succ(X0),sK4_skl),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f642,plain,
( ~ sQ38_spl
| sQ57_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f630,f93,f639,f373]) ).
fof(f643,definition,
! [X0] :
( sQ58_spl
<=> ( sK2_skl(sK11_skl(succ(X0),sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(succ(X0),sK5_skl)),succ(X0),sK5_skl)
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),sK5_skl)),succ(X0),sK5_skl))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),sK5_skl)),succ(X0),sK5_skl),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK5_skl)) = sK3_skl(sK11_skl(succ(X0),sK5_skl))
| sP0_prd(sK10_skl(succ(X0),sK5_skl),sK9_skl(succ(X0),sK5_skl),sK8_skl(succ(X0),sK5_skl),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f646,plain,
( ~ sQ33_spl
| sQ58_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f631,f101,f643,f333]) ).
fof(f647,definition,
! [X0] :
( sQ59_spl
<=> ( sK2_skl(sK11_skl(succ(X0),sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(succ(X0),sK6_skl)),succ(X0),sK6_skl)
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),sK6_skl)),succ(X0),sK6_skl))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),sK6_skl)),succ(X0),sK6_skl),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK6_skl)) = sK3_skl(sK11_skl(succ(X0),sK6_skl))
| sP0_prd(sK10_skl(succ(X0),sK6_skl),sK9_skl(succ(X0),sK6_skl),sK8_skl(succ(X0),sK6_skl),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f650,plain,
( ~ sQ28_spl
| sQ59_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f632,f116,f647,f290]) ).
fof(f652,plain,
! [X0,X1] :
( sK10_skl(X1,sK5_skl) = sK15_skl(sK10_skl(X1,sK5_skl),sK9_skl(X1,sK5_skl),sK8_skl(X1,sK5_skl),X1)
| sK2_skl(sK11_skl(X1,sK5_skl)) = sK3_skl(sK11_skl(X1,sK5_skl))
| ~ empty(sK2_skl(sK11_skl(X1,sK5_skl)))
| ~ in(sK2_skl(sK11_skl(X1,sK5_skl)),sK11_skl(X1,sK5_skl))
| sP0_prd(sK10_skl(X1,sK5_skl),sK9_skl(X1,sK5_skl),sK8_skl(X1,sK5_skl),X1)
| ~ in(sK12_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl),X0)
| in(sK12_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl),sK11_skl(X0,sK5_skl))
| sP0_prd(sK10_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0)
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f515,f159]) ).
fof(f653,plain,
! [X0,X1] :
( sK10_skl(X1,sK5_skl) = sK15_skl(sK10_skl(X1,sK5_skl),sK9_skl(X1,sK5_skl),sK8_skl(X1,sK5_skl),X1)
| sK2_skl(sK11_skl(X1,sK5_skl)) = sK3_skl(sK11_skl(X1,sK5_skl))
| ~ in(sK2_skl(sK11_skl(X1,sK5_skl)),sK11_skl(X1,sK5_skl))
| sP0_prd(sK10_skl(X1,sK5_skl),sK9_skl(X1,sK5_skl),sK8_skl(X1,sK5_skl),X1)
| ~ in(sK12_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl),X0)
| ~ ordinal(sK2_skl(sK11_skl(X1,sK5_skl)))
| in(sK12_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl),sK11_skl(X0,sK5_skl))
| sP0_prd(sK10_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0)
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f515,f132]) ).
fof(f654,plain,
! [X0] :
( sK10_skl(X0,sK5_skl) = sK15_skl(sK10_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| ~ in(succ(sK5_skl),sK2_skl(sK11_skl(X0,sK5_skl)))
| ~ in(sK2_skl(sK11_skl(X0,sK5_skl)),sK11_skl(X0,sK5_skl))
| sP0_prd(sK10_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0)
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f515,f125]) ).
fof(f655,plain,
! [X0] :
( sK10_skl(X0,sK5_skl) = sK15_skl(sK10_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| in(sK2_skl(sK11_skl(X0,sK5_skl)),succ(sK5_skl))
| ~ in(sK2_skl(sK11_skl(X0,sK5_skl)),sK11_skl(X0,sK5_skl))
| sP0_prd(sK10_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0)
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f515,f64]) ).
fof(f656,definition,
! [X0,X1] :
( sQ60_spl
<=> ( sK10_skl(X1,sK5_skl) = sK15_skl(sK10_skl(X1,sK5_skl),sK9_skl(X1,sK5_skl),sK8_skl(X1,sK5_skl),X1)
| sK2_skl(sK11_skl(X1,sK5_skl)) = sK3_skl(sK11_skl(X1,sK5_skl))
| ~ empty(sK2_skl(sK11_skl(X1,sK5_skl)))
| ~ in(sK2_skl(sK11_skl(X1,sK5_skl)),sK11_skl(X1,sK5_skl))
| sP0_prd(sK10_skl(X1,sK5_skl),sK9_skl(X1,sK5_skl),sK8_skl(X1,sK5_skl),X1)
| ~ in(sK12_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl),X0)
| in(sK12_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl),sK11_skl(X0,sK5_skl))
| sP0_prd(sK10_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f659,plain,
( sQ60_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f652,f101,f656]) ).
fof(f660,definition,
! [X0,X1] :
( sQ61_spl
<=> ( sK10_skl(X1,sK5_skl) = sK15_skl(sK10_skl(X1,sK5_skl),sK9_skl(X1,sK5_skl),sK8_skl(X1,sK5_skl),X1)
| sK2_skl(sK11_skl(X1,sK5_skl)) = sK3_skl(sK11_skl(X1,sK5_skl))
| ~ in(sK2_skl(sK11_skl(X1,sK5_skl)),sK11_skl(X1,sK5_skl))
| sP0_prd(sK10_skl(X1,sK5_skl),sK9_skl(X1,sK5_skl),sK8_skl(X1,sK5_skl),X1)
| ~ in(sK12_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl),X0)
| ~ ordinal(sK2_skl(sK11_skl(X1,sK5_skl)))
| in(sK12_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl),sK11_skl(X0,sK5_skl))
| sP0_prd(sK10_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f663,plain,
( sQ61_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f653,f101,f660]) ).
fof(f664,definition,
! [X0] :
( sQ62_spl
<=> ( sK10_skl(X0,sK5_skl) = sK15_skl(sK10_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| ~ in(succ(sK5_skl),sK2_skl(sK11_skl(X0,sK5_skl)))
| ~ in(sK2_skl(sK11_skl(X0,sK5_skl)),sK11_skl(X0,sK5_skl))
| sP0_prd(sK10_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f667,plain,
( sQ62_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f654,f101,f664]) ).
fof(f668,definition,
! [X0] :
( sQ63_spl
<=> ( sK10_skl(X0,sK5_skl) = sK15_skl(sK10_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| in(sK2_skl(sK11_skl(X0,sK5_skl)),succ(sK5_skl))
| ~ in(sK2_skl(sK11_skl(X0,sK5_skl)),sK11_skl(X0,sK5_skl))
| sP0_prd(sK10_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f669,plain,
! [X0] :
( ~ sQ63_spl
| sK10_skl(X0,sK5_skl) = sK15_skl(sK10_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| in(sK2_skl(sK11_skl(X0,sK5_skl)),succ(sK5_skl))
| ~ in(sK2_skl(sK11_skl(X0,sK5_skl)),sK11_skl(X0,sK5_skl))
| sP0_prd(sK10_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0) ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f671,plain,
( sQ63_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f655,f101,f668]) ).
fof(f675,plain,
! [X0] :
( ~ sQ63_spl
| sK10_skl(X0,sK5_skl) = sK15_skl(sK10_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| in(sK2_skl(sK11_skl(X0,sK5_skl)),succ(sK5_skl))
| ~ in(sK2_skl(sK11_skl(X0,sK5_skl)),sK11_skl(X0,sK5_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f669,f79]) ).
fof(f677,plain,
! [X0,X1] :
( sK10_skl(X1,sK4_skl) = sK15_skl(sK10_skl(X1,sK4_skl),sK9_skl(X1,sK4_skl),sK8_skl(X1,sK4_skl),X1)
| sK2_skl(sK11_skl(X1,sK4_skl)) = sK3_skl(sK11_skl(X1,sK4_skl))
| ~ empty(sK2_skl(sK11_skl(X1,sK4_skl)))
| ~ in(sK2_skl(sK11_skl(X1,sK4_skl)),sK11_skl(X1,sK4_skl))
| sP0_prd(sK10_skl(X1,sK4_skl),sK9_skl(X1,sK4_skl),sK8_skl(X1,sK4_skl),X1)
| ~ in(sK12_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl),X0)
| in(sK12_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl),sK11_skl(X0,sK4_skl))
| sP0_prd(sK10_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0)
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f516,f159]) ).
fof(f678,plain,
! [X0,X1] :
( sK10_skl(X1,sK4_skl) = sK15_skl(sK10_skl(X1,sK4_skl),sK9_skl(X1,sK4_skl),sK8_skl(X1,sK4_skl),X1)
| sK2_skl(sK11_skl(X1,sK4_skl)) = sK3_skl(sK11_skl(X1,sK4_skl))
| ~ in(sK2_skl(sK11_skl(X1,sK4_skl)),sK11_skl(X1,sK4_skl))
| sP0_prd(sK10_skl(X1,sK4_skl),sK9_skl(X1,sK4_skl),sK8_skl(X1,sK4_skl),X1)
| ~ in(sK12_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl),X0)
| ~ ordinal(sK2_skl(sK11_skl(X1,sK4_skl)))
| in(sK12_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl),sK11_skl(X0,sK4_skl))
| sP0_prd(sK10_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0)
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f516,f132]) ).
fof(f679,plain,
! [X0] :
( sK10_skl(X0,sK4_skl) = sK15_skl(sK10_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| ~ in(succ(sK4_skl),sK2_skl(sK11_skl(X0,sK4_skl)))
| ~ in(sK2_skl(sK11_skl(X0,sK4_skl)),sK11_skl(X0,sK4_skl))
| sP0_prd(sK10_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0)
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f516,f125]) ).
fof(f680,plain,
! [X0] :
( sK10_skl(X0,sK4_skl) = sK15_skl(sK10_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| in(sK2_skl(sK11_skl(X0,sK4_skl)),succ(sK4_skl))
| ~ in(sK2_skl(sK11_skl(X0,sK4_skl)),sK11_skl(X0,sK4_skl))
| sP0_prd(sK10_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0)
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f516,f64]) ).
fof(f681,definition,
! [X0,X1] :
( sQ64_spl
<=> ( sK10_skl(X1,sK4_skl) = sK15_skl(sK10_skl(X1,sK4_skl),sK9_skl(X1,sK4_skl),sK8_skl(X1,sK4_skl),X1)
| sK2_skl(sK11_skl(X1,sK4_skl)) = sK3_skl(sK11_skl(X1,sK4_skl))
| ~ empty(sK2_skl(sK11_skl(X1,sK4_skl)))
| ~ in(sK2_skl(sK11_skl(X1,sK4_skl)),sK11_skl(X1,sK4_skl))
| sP0_prd(sK10_skl(X1,sK4_skl),sK9_skl(X1,sK4_skl),sK8_skl(X1,sK4_skl),X1)
| ~ in(sK12_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl),X0)
| in(sK12_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl),sK11_skl(X0,sK4_skl))
| sP0_prd(sK10_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f684,plain,
( sQ64_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f677,f93,f681]) ).
fof(f685,definition,
! [X0,X1] :
( sQ65_spl
<=> ( sK10_skl(X1,sK4_skl) = sK15_skl(sK10_skl(X1,sK4_skl),sK9_skl(X1,sK4_skl),sK8_skl(X1,sK4_skl),X1)
| sK2_skl(sK11_skl(X1,sK4_skl)) = sK3_skl(sK11_skl(X1,sK4_skl))
| ~ in(sK2_skl(sK11_skl(X1,sK4_skl)),sK11_skl(X1,sK4_skl))
| sP0_prd(sK10_skl(X1,sK4_skl),sK9_skl(X1,sK4_skl),sK8_skl(X1,sK4_skl),X1)
| ~ in(sK12_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl),X0)
| ~ ordinal(sK2_skl(sK11_skl(X1,sK4_skl)))
| in(sK12_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl),sK11_skl(X0,sK4_skl))
| sP0_prd(sK10_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f688,plain,
( sQ65_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f678,f93,f685]) ).
fof(f689,definition,
! [X0] :
( sQ66_spl
<=> ( sK10_skl(X0,sK4_skl) = sK15_skl(sK10_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| ~ in(succ(sK4_skl),sK2_skl(sK11_skl(X0,sK4_skl)))
| ~ in(sK2_skl(sK11_skl(X0,sK4_skl)),sK11_skl(X0,sK4_skl))
| sP0_prd(sK10_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f692,plain,
( sQ66_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f679,f93,f689]) ).
fof(f693,definition,
! [X0] :
( sQ67_spl
<=> ( sK10_skl(X0,sK4_skl) = sK15_skl(sK10_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| in(sK2_skl(sK11_skl(X0,sK4_skl)),succ(sK4_skl))
| ~ in(sK2_skl(sK11_skl(X0,sK4_skl)),sK11_skl(X0,sK4_skl))
| sP0_prd(sK10_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f694,plain,
! [X0] :
( ~ sQ67_spl
| sK10_skl(X0,sK4_skl) = sK15_skl(sK10_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| in(sK2_skl(sK11_skl(X0,sK4_skl)),succ(sK4_skl))
| ~ in(sK2_skl(sK11_skl(X0,sK4_skl)),sK11_skl(X0,sK4_skl))
| sP0_prd(sK10_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0) ),
inference(component_clause,[status(thm)],[f693]) ).
fof(f696,plain,
( sQ67_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f680,f93,f693]) ).
fof(f700,plain,
! [X0] :
( ~ sQ67_spl
| sK10_skl(X0,sK4_skl) = sK15_skl(sK10_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| in(sK2_skl(sK11_skl(X0,sK4_skl)),succ(sK4_skl))
| ~ in(sK2_skl(sK11_skl(X0,sK4_skl)),sK11_skl(X0,sK4_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f694,f79]) ).
fof(f702,plain,
! [X0,X1] :
( sK10_skl(X1,sK0_skl) = sK15_skl(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| sK2_skl(sK11_skl(X1,sK0_skl)) = sK3_skl(sK11_skl(X1,sK0_skl))
| ~ empty(sK2_skl(sK11_skl(X1,sK0_skl)))
| ~ in(sK2_skl(sK11_skl(X1,sK0_skl)),sK11_skl(X1,sK0_skl))
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| ~ in(sK12_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl),X0)
| in(sK12_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0)
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f519,f159]) ).
fof(f703,plain,
! [X0,X1] :
( sK10_skl(X1,sK0_skl) = sK15_skl(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| sK2_skl(sK11_skl(X1,sK0_skl)) = sK3_skl(sK11_skl(X1,sK0_skl))
| ~ in(sK2_skl(sK11_skl(X1,sK0_skl)),sK11_skl(X1,sK0_skl))
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| ~ in(sK12_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl),X0)
| ~ ordinal(sK2_skl(sK11_skl(X1,sK0_skl)))
| in(sK12_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0)
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f519,f132]) ).
fof(f704,plain,
! [X0] :
( sK10_skl(X0,sK0_skl) = sK15_skl(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| ~ in(succ(sK0_skl),sK2_skl(sK11_skl(X0,sK0_skl)))
| ~ in(sK2_skl(sK11_skl(X0,sK0_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0)
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f519,f125]) ).
fof(f705,plain,
! [X0] :
( sK10_skl(X0,sK0_skl) = sK15_skl(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| in(sK2_skl(sK11_skl(X0,sK0_skl)),succ(sK0_skl))
| ~ in(sK2_skl(sK11_skl(X0,sK0_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0)
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f519,f64]) ).
fof(f706,definition,
! [X0,X1] :
( sQ68_spl
<=> ( sK10_skl(X1,sK0_skl) = sK15_skl(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| sK2_skl(sK11_skl(X1,sK0_skl)) = sK3_skl(sK11_skl(X1,sK0_skl))
| ~ empty(sK2_skl(sK11_skl(X1,sK0_skl)))
| ~ in(sK2_skl(sK11_skl(X1,sK0_skl)),sK11_skl(X1,sK0_skl))
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| ~ in(sK12_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl),X0)
| in(sK12_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f709,plain,
( sQ68_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f702,f133,f706]) ).
fof(f710,definition,
! [X0,X1] :
( sQ69_spl
<=> ( sK10_skl(X1,sK0_skl) = sK15_skl(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| sK2_skl(sK11_skl(X1,sK0_skl)) = sK3_skl(sK11_skl(X1,sK0_skl))
| ~ in(sK2_skl(sK11_skl(X1,sK0_skl)),sK11_skl(X1,sK0_skl))
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| ~ in(sK12_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl),X0)
| ~ ordinal(sK2_skl(sK11_skl(X1,sK0_skl)))
| in(sK12_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f713,plain,
( sQ69_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f703,f133,f710]) ).
fof(f714,definition,
! [X0] :
( sQ70_spl
<=> ( sK10_skl(X0,sK0_skl) = sK15_skl(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| ~ in(succ(sK0_skl),sK2_skl(sK11_skl(X0,sK0_skl)))
| ~ in(sK2_skl(sK11_skl(X0,sK0_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f717,plain,
( sQ70_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f704,f133,f714]) ).
fof(f718,definition,
! [X0] :
( sQ71_spl
<=> ( sK10_skl(X0,sK0_skl) = sK15_skl(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| in(sK2_skl(sK11_skl(X0,sK0_skl)),succ(sK0_skl))
| ~ in(sK2_skl(sK11_skl(X0,sK0_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f719,plain,
! [X0] :
( ~ sQ71_spl
| sK10_skl(X0,sK0_skl) = sK15_skl(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| in(sK2_skl(sK11_skl(X0,sK0_skl)),succ(sK0_skl))
| ~ in(sK2_skl(sK11_skl(X0,sK0_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(component_clause,[status(thm)],[f718]) ).
fof(f721,plain,
( sQ71_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f705,f133,f718]) ).
fof(f725,plain,
! [X0] :
( ~ sQ71_spl
| sK10_skl(X0,sK0_skl) = sK15_skl(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| in(sK2_skl(sK11_skl(X0,sK0_skl)),succ(sK0_skl))
| ~ in(sK2_skl(sK11_skl(X0,sK0_skl)),sK11_skl(X0,sK0_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f719,f79]) ).
fof(f726,plain,
! [X0] :
( ~ sQ5_spl
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) = sK2_skl(sK11_skl(X0,sK6_skl))
| ~ in(X0,sK9_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f524,f540]) ).
fof(f727,plain,
! [X0] :
( ~ sQ5_spl
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) = sK2_skl(sK11_skl(X0,sK6_skl))
| ~ in(X0,sK9_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) = sK2_skl(sK11_skl(X0,sK6_skl))
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f524,f510]) ).
fof(f728,plain,
! [X0] :
( ~ sQ5_spl
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) = sK2_skl(sK11_skl(X0,sK6_skl))
| in(sK9_skl(X0,sK6_skl),X0)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f524,f154]) ).
fof(f729,plain,
! [X0] :
( ~ sQ5_spl
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) = sK2_skl(sK11_skl(X0,sK6_skl))
| in(sK9_skl(X0,sK6_skl),X0)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) = sK2_skl(sK11_skl(X0,sK6_skl))
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f524,f148]) ).
fof(f731,definition,
! [X0] :
( sQ72_spl
<=> ( sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) = sK2_skl(sK11_skl(X0,sK6_skl))
| ~ in(X0,sK9_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f734,plain,
( sQ72_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f726,f116,f731]) ).
fof(f735,definition,
! [X0] :
( sQ73_spl
<=> ( sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) = sK2_skl(sK11_skl(X0,sK6_skl))
| ~ in(X0,sK9_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) = sK2_skl(sK11_skl(X0,sK6_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f738,plain,
( sQ73_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f727,f116,f735]) ).
fof(f739,definition,
! [X0] :
( sQ74_spl
<=> ( sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) = sK2_skl(sK11_skl(X0,sK6_skl))
| in(sK9_skl(X0,sK6_skl),X0)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f742,plain,
( sQ74_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f728,f116,f739]) ).
fof(f743,definition,
! [X0] :
( sQ75_spl
<=> ( sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) = sK2_skl(sK11_skl(X0,sK6_skl))
| in(sK9_skl(X0,sK6_skl),X0)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) = sK2_skl(sK11_skl(X0,sK6_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f746,plain,
( sQ75_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f729,f116,f743]) ).
fof(f757,plain,
! [X0] :
( sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) = sK2_skl(sK11_skl(X0,sK5_skl))
| ~ in(X0,sK9_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f525,f540]) ).
fof(f758,plain,
! [X0] :
( sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) = sK2_skl(sK11_skl(X0,sK5_skl))
| ~ in(X0,sK9_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) = sK2_skl(sK11_skl(X0,sK5_skl))
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f525,f510]) ).
fof(f759,plain,
! [X0] :
( sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) = sK2_skl(sK11_skl(X0,sK5_skl))
| in(sK9_skl(X0,sK5_skl),X0)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl)
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f525,f154]) ).
fof(f760,plain,
! [X0] :
( sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) = sK2_skl(sK11_skl(X0,sK5_skl))
| in(sK9_skl(X0,sK5_skl),X0)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) = sK2_skl(sK11_skl(X0,sK5_skl))
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f525,f148]) ).
fof(f762,definition,
! [X0] :
( sQ76_spl
<=> ( sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) = sK2_skl(sK11_skl(X0,sK5_skl))
| ~ in(X0,sK9_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f765,plain,
( sQ76_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f757,f101,f762]) ).
fof(f766,definition,
! [X0] :
( sQ77_spl
<=> ( sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) = sK2_skl(sK11_skl(X0,sK5_skl))
| ~ in(X0,sK9_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) = sK2_skl(sK11_skl(X0,sK5_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f769,plain,
( sQ77_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f758,f101,f766]) ).
fof(f770,definition,
! [X0] :
( sQ78_spl
<=> ( sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) = sK2_skl(sK11_skl(X0,sK5_skl))
| in(sK9_skl(X0,sK5_skl),X0)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f773,plain,
( sQ78_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f759,f101,f770]) ).
fof(f774,definition,
! [X0] :
( sQ79_spl
<=> ( sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) = sK2_skl(sK11_skl(X0,sK5_skl))
| in(sK9_skl(X0,sK5_skl),X0)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK5_skl)),X0,sK5_skl) = sK2_skl(sK11_skl(X0,sK5_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f777,plain,
( sQ79_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f760,f101,f774]) ).
fof(f788,plain,
! [X0] :
( sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) = sK2_skl(sK11_skl(X0,sK4_skl))
| ~ in(X0,sK9_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f526,f540]) ).
fof(f789,plain,
! [X0] :
( sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) = sK2_skl(sK11_skl(X0,sK4_skl))
| ~ in(X0,sK9_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) = sK2_skl(sK11_skl(X0,sK4_skl))
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f526,f510]) ).
fof(f790,plain,
! [X0] :
( sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) = sK2_skl(sK11_skl(X0,sK4_skl))
| in(sK9_skl(X0,sK4_skl),X0)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl)
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f526,f154]) ).
fof(f791,plain,
! [X0] :
( sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) = sK2_skl(sK11_skl(X0,sK4_skl))
| in(sK9_skl(X0,sK4_skl),X0)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) = sK2_skl(sK11_skl(X0,sK4_skl))
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f526,f148]) ).
fof(f793,definition,
! [X0] :
( sQ80_spl
<=> ( sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) = sK2_skl(sK11_skl(X0,sK4_skl))
| ~ in(X0,sK9_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f796,plain,
( sQ80_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f788,f93,f793]) ).
fof(f797,definition,
! [X0] :
( sQ81_spl
<=> ( sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) = sK2_skl(sK11_skl(X0,sK4_skl))
| ~ in(X0,sK9_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) = sK2_skl(sK11_skl(X0,sK4_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f800,plain,
( sQ81_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f789,f93,f797]) ).
fof(f801,definition,
! [X0] :
( sQ82_spl
<=> ( sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) = sK2_skl(sK11_skl(X0,sK4_skl))
| in(sK9_skl(X0,sK4_skl),X0)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f804,plain,
( sQ82_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f790,f93,f801]) ).
fof(f805,definition,
! [X0] :
( sQ83_spl
<=> ( sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) = sK2_skl(sK11_skl(X0,sK4_skl))
| in(sK9_skl(X0,sK4_skl),X0)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK4_skl)),X0,sK4_skl) = sK2_skl(sK11_skl(X0,sK4_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f808,plain,
( sQ83_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f791,f93,f805]) ).
fof(f848,plain,
! [X0] :
( sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) = sK2_skl(sK11_skl(X0,sK0_skl))
| ~ in(X0,sK9_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f529,f540]) ).
fof(f849,plain,
! [X0] :
( sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) = sK2_skl(sK11_skl(X0,sK0_skl))
| ~ in(X0,sK9_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) = sK2_skl(sK11_skl(X0,sK0_skl))
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f529,f510]) ).
fof(f850,plain,
! [X0] :
( sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) = sK2_skl(sK11_skl(X0,sK0_skl))
| in(sK9_skl(X0,sK0_skl),X0)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl)
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f529,f154]) ).
fof(f851,plain,
! [X0] :
( sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) = sK2_skl(sK11_skl(X0,sK0_skl))
| in(sK9_skl(X0,sK0_skl),X0)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) = sK2_skl(sK11_skl(X0,sK0_skl))
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f529,f148]) ).
fof(f853,definition,
! [X0] :
( sQ84_spl
<=> ( sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) = sK2_skl(sK11_skl(X0,sK0_skl))
| ~ in(X0,sK9_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f856,plain,
( sQ84_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f848,f133,f853]) ).
fof(f857,definition,
! [X0] :
( sQ85_spl
<=> ( sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) = sK2_skl(sK11_skl(X0,sK0_skl))
| ~ in(X0,sK9_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) = sK2_skl(sK11_skl(X0,sK0_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f860,plain,
( sQ85_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f849,f133,f857]) ).
fof(f861,definition,
! [X0] :
( sQ86_spl
<=> ( sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) = sK2_skl(sK11_skl(X0,sK0_skl))
| in(sK9_skl(X0,sK0_skl),X0)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f864,plain,
( sQ86_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f850,f133,f861]) ).
fof(f865,definition,
! [X0] :
( sQ87_spl
<=> ( sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) = sK2_skl(sK11_skl(X0,sK0_skl))
| in(sK9_skl(X0,sK0_skl),X0)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(X0,sK0_skl)),X0,sK0_skl) = sK2_skl(sK11_skl(X0,sK0_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f868,plain,
( sQ87_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f851,f133,f865]) ).
fof(f893,plain,
! [X0] :
( ~ sQ5_spl
| sK8_skl(succ(X0),succ(sK6_skl)) = sK9_skl(succ(X0),succ(sK6_skl))
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK6_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f579,f324]) ).
fof(f894,plain,
! [X0,X1] :
( ~ sQ5_spl
| sK8_skl(succ(X0),succ(sK6_skl)) = sK9_skl(succ(X0),succ(sK6_skl))
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK6_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f579,f142]) ).
fof(f895,plain,
! [X0] :
( ~ sQ5_spl
| sK8_skl(X0,succ(sK6_skl)) = sK9_skl(X0,succ(sK6_skl))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK3_skl(sK11_skl(X0,succ(sK6_skl)))
| sP0_prd(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f579,f146]) ).
fof(f896,plain,
! [X0] :
( ~ sQ5_spl
| sK8_skl(X0,succ(sK6_skl)) = sK9_skl(X0,succ(sK6_skl))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK3_skl(sK11_skl(X0,succ(sK6_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f579,f128]) ).
fof(f905,plain,
! [X0] :
( ~ sQ5_spl
| sK8_skl(X0,succ(sK6_skl)) = sK9_skl(X0,succ(sK6_skl))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl))
| in(sK3_skl(sK11_skl(X0,succ(sK6_skl))),succ(sK0_skl))
| in(sK2_skl(sK11_skl(X0,succ(sK6_skl))),sK11_skl(X0,succ(sK6_skl))) ),
inference(paramodulation,[status(thm)],[f579,f21]) ).
fof(f908,definition,
( sQ88_spl
<=> ordinal(succ(sK6_skl)) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f909,plain,
( ~ sQ88_spl
| ordinal(succ(sK6_skl)) ),
inference(component_clause,[status(thm)],[f908]) ).
fof(f910,plain,
( sQ88_spl
| ~ ordinal(succ(sK6_skl)) ),
inference(component_clause,[status(thm)],[f908]) ).
fof(f911,definition,
! [X0] :
( sQ89_spl
<=> ( sK8_skl(succ(X0),succ(sK6_skl)) = sK9_skl(succ(X0),succ(sK6_skl))
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK6_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f914,plain,
( ~ sQ5_spl
| sQ89_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f893,f908,f911,f116]) ).
fof(f915,definition,
! [X0,X1] :
( sQ90_spl
<=> ( sK8_skl(succ(X0),succ(sK6_skl)) = sK9_skl(succ(X0),succ(sK6_skl))
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK6_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f918,plain,
( ~ sQ5_spl
| sQ90_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f894,f908,f915,f116]) ).
fof(f919,definition,
! [X0] :
( sQ91_spl
<=> ( sK8_skl(X0,succ(sK6_skl)) = sK9_skl(X0,succ(sK6_skl))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK3_skl(sK11_skl(X0,succ(sK6_skl)))
| sP0_prd(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f922,plain,
( ~ sQ5_spl
| sQ91_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f895,f908,f919,f116]) ).
fof(f923,definition,
! [X0] :
( sQ92_spl
<=> ( sK8_skl(X0,succ(sK6_skl)) = sK9_skl(X0,succ(sK6_skl))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK3_skl(sK11_skl(X0,succ(sK6_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f926,plain,
( ~ sQ5_spl
| sQ92_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f896,f908,f923,f116]) ).
fof(f928,plain,
( sQ88_spl
| ~ ordinal(sK6_skl) ),
inference(resolution,[status(thm)],[f910,f57]) ).
fof(f930,plain,
( sQ88_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f928,f117]) ).
fof(f931,plain,
( sQ88_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f930]) ).
fof(f935,plain,
! [X0] :
( ~ sQ88_spl
| sK8_skl(X0,succ(succ(sK6_skl))) = sK9_skl(X0,succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK6_skl)))) = sK3_skl(sK11_skl(X0,succ(succ(sK6_skl))))
| sK2_skl(sK11_skl(X0,succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK6_skl)))),X0,succ(succ(sK6_skl))) ),
inference(resolution,[status(thm)],[f909,f166]) ).
fof(f936,plain,
! [X0] :
( ~ sQ88_spl
| sK9_skl(X0,succ(sK6_skl)) = sK14_skl(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK3_skl(sK11_skl(X0,succ(sK6_skl)))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)) ),
inference(resolution,[status(thm)],[f909,f156]) ).
fof(f937,plain,
! [X0] :
( ~ sQ88_spl
| sK10_skl(X0,succ(sK6_skl)) = sK15_skl(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK3_skl(sK11_skl(X0,succ(sK6_skl)))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)) ),
inference(resolution,[status(thm)],[f909,f155]) ).
fof(f938,plain,
! [X0] :
( ~ sQ88_spl
| sK9_skl(X0,succ(sK6_skl)) = sK14_skl(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK3_skl(sK11_skl(X0,succ(sK6_skl)))
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)) = sK2_skl(sK11_skl(X0,succ(sK6_skl))) ),
inference(resolution,[status(thm)],[f909,f150]) ).
fof(f939,plain,
! [X0] :
( ~ sQ88_spl
| sK10_skl(X0,succ(sK6_skl)) = sK15_skl(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK3_skl(sK11_skl(X0,succ(sK6_skl)))
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)) = sK2_skl(sK11_skl(X0,succ(sK6_skl))) ),
inference(resolution,[status(thm)],[f909,f149]) ).
fof(f941,plain,
! [X0] :
( sK8_skl(succ(X0),succ(sK5_skl)) = sK9_skl(succ(X0),succ(sK5_skl))
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK5_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f580,f324]) ).
fof(f942,plain,
! [X0,X1] :
( sK8_skl(succ(X0),succ(sK5_skl)) = sK9_skl(succ(X0),succ(sK5_skl))
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK5_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f580,f142]) ).
fof(f943,plain,
! [X0] :
( sK8_skl(X0,succ(sK5_skl)) = sK9_skl(X0,succ(sK5_skl))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK3_skl(sK11_skl(X0,succ(sK5_skl)))
| sP0_prd(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f580,f146]) ).
fof(f944,plain,
! [X0] :
( sK8_skl(X0,succ(sK5_skl)) = sK9_skl(X0,succ(sK5_skl))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK3_skl(sK11_skl(X0,succ(sK5_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f580,f128]) ).
fof(f953,plain,
! [X0] :
( sK8_skl(X0,succ(sK5_skl)) = sK9_skl(X0,succ(sK5_skl))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl))
| in(sK3_skl(sK11_skl(X0,succ(sK5_skl))),succ(sK0_skl))
| in(sK2_skl(sK11_skl(X0,succ(sK5_skl))),sK11_skl(X0,succ(sK5_skl))) ),
inference(paramodulation,[status(thm)],[f580,f21]) ).
fof(f956,definition,
( sQ93_spl
<=> ordinal(succ(sK5_skl)) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f957,plain,
( ~ sQ93_spl
| ordinal(succ(sK5_skl)) ),
inference(component_clause,[status(thm)],[f956]) ).
fof(f958,plain,
( sQ93_spl
| ~ ordinal(succ(sK5_skl)) ),
inference(component_clause,[status(thm)],[f956]) ).
fof(f959,definition,
! [X0] :
( sQ94_spl
<=> ( sK8_skl(succ(X0),succ(sK5_skl)) = sK9_skl(succ(X0),succ(sK5_skl))
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK5_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f962,plain,
( sQ94_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f941,f956,f959]) ).
fof(f963,definition,
! [X0,X1] :
( sQ95_spl
<=> ( sK8_skl(succ(X0),succ(sK5_skl)) = sK9_skl(succ(X0),succ(sK5_skl))
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK5_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f966,plain,
( sQ95_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f942,f956,f963]) ).
fof(f967,definition,
! [X0] :
( sQ96_spl
<=> ( sK8_skl(X0,succ(sK5_skl)) = sK9_skl(X0,succ(sK5_skl))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK3_skl(sK11_skl(X0,succ(sK5_skl)))
| sP0_prd(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f970,plain,
( sQ96_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f943,f956,f967]) ).
fof(f971,definition,
! [X0] :
( sQ97_spl
<=> ( sK8_skl(X0,succ(sK5_skl)) = sK9_skl(X0,succ(sK5_skl))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK3_skl(sK11_skl(X0,succ(sK5_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f974,plain,
( sQ97_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f944,f956,f971]) ).
fof(f976,plain,
( sQ93_spl
| ~ ordinal(sK5_skl) ),
inference(resolution,[status(thm)],[f958,f57]) ).
fof(f978,plain,
( sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f976,f42]) ).
fof(f979,plain,
sQ93_spl,
inference(contradiction_clause,[status(thm)],[f978]) ).
fof(f983,plain,
! [X0] :
( ~ sQ93_spl
| sK8_skl(X0,succ(succ(sK5_skl))) = sK9_skl(X0,succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK5_skl)))) = sK3_skl(sK11_skl(X0,succ(succ(sK5_skl))))
| sK2_skl(sK11_skl(X0,succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK5_skl)))),X0,succ(succ(sK5_skl))) ),
inference(resolution,[status(thm)],[f957,f166]) ).
fof(f984,plain,
! [X0] :
( ~ sQ93_spl
| sK9_skl(X0,succ(sK5_skl)) = sK14_skl(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK3_skl(sK11_skl(X0,succ(sK5_skl)))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)) ),
inference(resolution,[status(thm)],[f957,f156]) ).
fof(f985,plain,
! [X0] :
( ~ sQ93_spl
| sK10_skl(X0,succ(sK5_skl)) = sK15_skl(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK3_skl(sK11_skl(X0,succ(sK5_skl)))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)) ),
inference(resolution,[status(thm)],[f957,f155]) ).
fof(f986,plain,
! [X0] :
( ~ sQ93_spl
| sK9_skl(X0,succ(sK5_skl)) = sK14_skl(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK3_skl(sK11_skl(X0,succ(sK5_skl)))
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)) = sK2_skl(sK11_skl(X0,succ(sK5_skl))) ),
inference(resolution,[status(thm)],[f957,f150]) ).
fof(f987,plain,
! [X0] :
( ~ sQ93_spl
| sK10_skl(X0,succ(sK5_skl)) = sK15_skl(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK3_skl(sK11_skl(X0,succ(sK5_skl)))
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)) = sK2_skl(sK11_skl(X0,succ(sK5_skl))) ),
inference(resolution,[status(thm)],[f957,f149]) ).
fof(f995,plain,
! [X0,X1,X2] :
( sK8_skl(X1,X2) = sK10_skl(X1,X2)
| sK8_skl(sK11_skl(X1,X2),X0) = sK10_skl(sK11_skl(X1,X2),X0)
| in(sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0),X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f453,f77]) ).
fof(f996,plain,
! [X0,X1,X2] :
( sK8_skl(X1,X2) = sK9_skl(X1,X2)
| sK8_skl(sK11_skl(X1,X2),X0) = sK10_skl(sK11_skl(X1,X2),X0)
| in(sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0),X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f453,f73]) ).
fof(f1003,plain,
! [X0,X1,X2] :
( sK8_skl(X1,X2) = sK10_skl(X1,X2)
| sK8_skl(sK11_skl(X1,X2),X0) = sK9_skl(sK11_skl(X1,X2),X0)
| in(sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0),X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f454,f77]) ).
fof(f1004,plain,
! [X0,X1,X2] :
( sK8_skl(X1,X2) = sK9_skl(X1,X2)
| sK8_skl(sK11_skl(X1,X2),X0) = sK9_skl(sK11_skl(X1,X2),X0)
| in(sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0),X1,X2),X1)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f454,f73]) ).
fof(f1005,plain,
! [X0] :
( sK8_skl(succ(X0),succ(sK4_skl)) = sK9_skl(succ(X0),succ(sK4_skl))
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK4_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f581,f324]) ).
fof(f1006,plain,
! [X0,X1] :
( sK8_skl(succ(X0),succ(sK4_skl)) = sK9_skl(succ(X0),succ(sK4_skl))
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK4_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f581,f142]) ).
fof(f1007,plain,
! [X0] :
( sK8_skl(X0,succ(sK4_skl)) = sK9_skl(X0,succ(sK4_skl))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK3_skl(sK11_skl(X0,succ(sK4_skl)))
| sP0_prd(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f581,f146]) ).
fof(f1008,plain,
! [X0] :
( sK8_skl(X0,succ(sK4_skl)) = sK9_skl(X0,succ(sK4_skl))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK3_skl(sK11_skl(X0,succ(sK4_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f581,f128]) ).
fof(f1017,plain,
! [X0] :
( sK8_skl(X0,succ(sK4_skl)) = sK9_skl(X0,succ(sK4_skl))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl))
| in(sK3_skl(sK11_skl(X0,succ(sK4_skl))),succ(sK0_skl))
| in(sK2_skl(sK11_skl(X0,succ(sK4_skl))),sK11_skl(X0,succ(sK4_skl))) ),
inference(paramodulation,[status(thm)],[f581,f21]) ).
fof(f1020,definition,
( sQ98_spl
<=> ordinal(succ(sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1021,plain,
( ~ sQ98_spl
| ordinal(succ(sK4_skl)) ),
inference(component_clause,[status(thm)],[f1020]) ).
fof(f1022,plain,
( sQ98_spl
| ~ ordinal(succ(sK4_skl)) ),
inference(component_clause,[status(thm)],[f1020]) ).
fof(f1023,definition,
! [X0] :
( sQ99_spl
<=> ( sK8_skl(succ(X0),succ(sK4_skl)) = sK9_skl(succ(X0),succ(sK4_skl))
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK4_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1026,plain,
( sQ99_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f1005,f1020,f1023]) ).
fof(f1027,definition,
! [X0,X1] :
( sQ100_spl
<=> ( sK8_skl(succ(X0),succ(sK4_skl)) = sK9_skl(succ(X0),succ(sK4_skl))
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK4_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1030,plain,
( sQ100_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f1006,f1020,f1027]) ).
fof(f1031,definition,
! [X0] :
( sQ101_spl
<=> ( sK8_skl(X0,succ(sK4_skl)) = sK9_skl(X0,succ(sK4_skl))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK3_skl(sK11_skl(X0,succ(sK4_skl)))
| sP0_prd(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1034,plain,
( sQ101_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f1007,f1020,f1031]) ).
fof(f1035,definition,
! [X0] :
( sQ102_spl
<=> ( sK8_skl(X0,succ(sK4_skl)) = sK9_skl(X0,succ(sK4_skl))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK3_skl(sK11_skl(X0,succ(sK4_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1038,plain,
( sQ102_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f1008,f1020,f1035]) ).
fof(f1040,plain,
( sQ98_spl
| ~ ordinal(sK4_skl) ),
inference(resolution,[status(thm)],[f1022,f57]) ).
fof(f1042,plain,
( sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1040,f33]) ).
fof(f1043,plain,
sQ98_spl,
inference(contradiction_clause,[status(thm)],[f1042]) ).
fof(f1047,plain,
! [X0] :
( ~ sQ98_spl
| sK8_skl(X0,succ(succ(sK4_skl))) = sK9_skl(X0,succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK4_skl)))) = sK3_skl(sK11_skl(X0,succ(succ(sK4_skl))))
| sK2_skl(sK11_skl(X0,succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK4_skl)))),X0,succ(succ(sK4_skl))) ),
inference(resolution,[status(thm)],[f1021,f166]) ).
fof(f1048,plain,
! [X0] :
( ~ sQ98_spl
| sK9_skl(X0,succ(sK4_skl)) = sK14_skl(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK3_skl(sK11_skl(X0,succ(sK4_skl)))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)) ),
inference(resolution,[status(thm)],[f1021,f156]) ).
fof(f1049,plain,
! [X0] :
( ~ sQ98_spl
| sK10_skl(X0,succ(sK4_skl)) = sK15_skl(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK3_skl(sK11_skl(X0,succ(sK4_skl)))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)) ),
inference(resolution,[status(thm)],[f1021,f155]) ).
fof(f1050,plain,
! [X0] :
( ~ sQ98_spl
| sK9_skl(X0,succ(sK4_skl)) = sK14_skl(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK3_skl(sK11_skl(X0,succ(sK4_skl)))
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)) = sK2_skl(sK11_skl(X0,succ(sK4_skl))) ),
inference(resolution,[status(thm)],[f1021,f150]) ).
fof(f1051,plain,
! [X0] :
( ~ sQ98_spl
| sK10_skl(X0,succ(sK4_skl)) = sK15_skl(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK3_skl(sK11_skl(X0,succ(sK4_skl)))
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)) = sK2_skl(sK11_skl(X0,succ(sK4_skl))) ),
inference(resolution,[status(thm)],[f1021,f149]) ).
fof(f1053,plain,
! [X0] :
( sK8_skl(succ(X0),succ(sK0_skl)) = sK9_skl(succ(X0),succ(sK0_skl))
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK0_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f584,f324]) ).
fof(f1054,plain,
! [X0,X1] :
( sK8_skl(succ(X0),succ(sK0_skl)) = sK9_skl(succ(X0),succ(sK0_skl))
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK0_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f584,f142]) ).
fof(f1055,plain,
! [X0] :
( sK8_skl(X0,succ(sK0_skl)) = sK9_skl(X0,succ(sK0_skl))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK3_skl(sK11_skl(X0,succ(sK0_skl)))
| sP0_prd(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f584,f146]) ).
fof(f1056,plain,
! [X0] :
( sK8_skl(X0,succ(sK0_skl)) = sK9_skl(X0,succ(sK0_skl))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK3_skl(sK11_skl(X0,succ(sK0_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f584,f128]) ).
fof(f1065,plain,
! [X0] :
( sK8_skl(X0,succ(sK0_skl)) = sK9_skl(X0,succ(sK0_skl))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl))
| in(sK3_skl(sK11_skl(X0,succ(sK0_skl))),succ(sK0_skl))
| in(sK2_skl(sK11_skl(X0,succ(sK0_skl))),sK11_skl(X0,succ(sK0_skl))) ),
inference(paramodulation,[status(thm)],[f584,f21]) ).
fof(f1068,definition,
( sQ103_spl
<=> ordinal(succ(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1069,plain,
( ~ sQ103_spl
| ordinal(succ(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1068]) ).
fof(f1070,plain,
( sQ103_spl
| ~ ordinal(succ(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1068]) ).
fof(f1071,definition,
! [X0] :
( sQ104_spl
<=> ( sK8_skl(succ(X0),succ(sK0_skl)) = sK9_skl(succ(X0),succ(sK0_skl))
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK0_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1074,plain,
( sQ104_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f1053,f1068,f1071]) ).
fof(f1075,definition,
! [X0,X1] :
( sQ105_spl
<=> ( sK8_skl(succ(X0),succ(sK0_skl)) = sK9_skl(succ(X0),succ(sK0_skl))
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK0_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1078,plain,
( sQ105_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f1054,f1068,f1075]) ).
fof(f1079,definition,
! [X0] :
( sQ106_spl
<=> ( sK8_skl(X0,succ(sK0_skl)) = sK9_skl(X0,succ(sK0_skl))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK3_skl(sK11_skl(X0,succ(sK0_skl)))
| sP0_prd(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1082,plain,
( sQ106_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f1055,f1068,f1079]) ).
fof(f1083,definition,
! [X0] :
( sQ107_spl
<=> ( sK8_skl(X0,succ(sK0_skl)) = sK9_skl(X0,succ(sK0_skl))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK3_skl(sK11_skl(X0,succ(sK0_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1086,plain,
( sQ107_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f1056,f1068,f1083]) ).
fof(f1088,plain,
( sQ103_spl
| ~ ordinal(sK0_skl) ),
inference(resolution,[status(thm)],[f1070,f57]) ).
fof(f1090,plain,
( sQ103_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1088,f133,f1068]) ).
fof(f1094,plain,
! [X0] :
( ~ sQ103_spl
| sK8_skl(X0,succ(succ(sK0_skl))) = sK9_skl(X0,succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK0_skl)))) = sK3_skl(sK11_skl(X0,succ(succ(sK0_skl))))
| sK2_skl(sK11_skl(X0,succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK0_skl)))),X0,succ(succ(sK0_skl))) ),
inference(resolution,[status(thm)],[f1069,f166]) ).
fof(f1095,plain,
! [X0] :
( ~ sQ103_spl
| sK9_skl(X0,succ(sK0_skl)) = sK14_skl(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK3_skl(sK11_skl(X0,succ(sK0_skl)))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)) ),
inference(resolution,[status(thm)],[f1069,f156]) ).
fof(f1096,plain,
! [X0] :
( ~ sQ103_spl
| sK10_skl(X0,succ(sK0_skl)) = sK15_skl(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK3_skl(sK11_skl(X0,succ(sK0_skl)))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)) ),
inference(resolution,[status(thm)],[f1069,f155]) ).
fof(f1097,plain,
! [X0] :
( ~ sQ103_spl
| sK9_skl(X0,succ(sK0_skl)) = sK14_skl(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK3_skl(sK11_skl(X0,succ(sK0_skl)))
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)) = sK2_skl(sK11_skl(X0,succ(sK0_skl))) ),
inference(resolution,[status(thm)],[f1069,f150]) ).
fof(f1098,plain,
! [X0] :
( ~ sQ103_spl
| sK10_skl(X0,succ(sK0_skl)) = sK15_skl(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK3_skl(sK11_skl(X0,succ(sK0_skl)))
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)) = sK2_skl(sK11_skl(X0,succ(sK0_skl))) ),
inference(resolution,[status(thm)],[f1069,f149]) ).
fof(f1171,plain,
! [X0] :
( ~ sQ55_spl
| sK10_skl(X0,sK6_skl) = sK15_skl(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl))
| in(sK2_skl(sK11_skl(X0,sK6_skl)),succ(sK6_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f621,f23]) ).
fof(f1172,plain,
! [X0,X1] :
( ~ sQ55_spl
| ~ in(sK2_skl(sK11_skl(X0,sK6_skl)),X1)
| ~ ordinal(sK2_skl(sK11_skl(X0,sK6_skl)))
| in(sK2_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X1,sK6_skl))
| sP0_prd(sK10_skl(X1,sK6_skl),sK9_skl(X1,sK6_skl),sK8_skl(X1,sK6_skl),X1)
| ~ ordinal(sK6_skl)
| sK10_skl(X0,sK6_skl) = sK15_skl(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl)) ),
inference(resolution,[status(thm)],[f1171,f84]) ).
fof(f1175,definition,
! [X0,X1] :
( sQ108_spl
<=> ( ~ in(sK2_skl(sK11_skl(X0,sK6_skl)),X1)
| ~ ordinal(sK2_skl(sK11_skl(X0,sK6_skl)))
| in(sK2_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X1,sK6_skl))
| sP0_prd(sK10_skl(X1,sK6_skl),sK9_skl(X1,sK6_skl),sK8_skl(X1,sK6_skl),X1)
| sK10_skl(X0,sK6_skl) = sK15_skl(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK3_skl(sK11_skl(X0,sK6_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1178,plain,
( ~ sQ55_spl
| ~ sQ5_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f1172,f1175,f116,f614]) ).
fof(f1181,plain,
! [X0] :
( ~ sQ63_spl
| sK10_skl(X0,sK5_skl) = sK15_skl(sK10_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl))
| in(sK2_skl(sK11_skl(X0,sK5_skl)),succ(sK5_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f675,f23]) ).
fof(f1182,plain,
! [X0,X1] :
( ~ sQ63_spl
| ~ in(sK2_skl(sK11_skl(X0,sK5_skl)),X1)
| ~ ordinal(sK2_skl(sK11_skl(X0,sK5_skl)))
| in(sK2_skl(sK11_skl(X0,sK5_skl)),sK11_skl(X1,sK5_skl))
| sP0_prd(sK10_skl(X1,sK5_skl),sK9_skl(X1,sK5_skl),sK8_skl(X1,sK5_skl),X1)
| ~ ordinal(sK5_skl)
| sK10_skl(X0,sK5_skl) = sK15_skl(sK10_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl)) ),
inference(resolution,[status(thm)],[f1181,f84]) ).
fof(f1185,definition,
! [X0,X1] :
( sQ109_spl
<=> ( ~ in(sK2_skl(sK11_skl(X0,sK5_skl)),X1)
| ~ ordinal(sK2_skl(sK11_skl(X0,sK5_skl)))
| in(sK2_skl(sK11_skl(X0,sK5_skl)),sK11_skl(X1,sK5_skl))
| sP0_prd(sK10_skl(X1,sK5_skl),sK9_skl(X1,sK5_skl),sK8_skl(X1,sK5_skl),X1)
| sK10_skl(X0,sK5_skl) = sK15_skl(sK10_skl(X0,sK5_skl),sK9_skl(X0,sK5_skl),sK8_skl(X0,sK5_skl),X0)
| sK2_skl(sK11_skl(X0,sK5_skl)) = sK3_skl(sK11_skl(X0,sK5_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1188,plain,
( ~ sQ63_spl
| ~ sQ3_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1182,f1185,f101,f668]) ).
fof(f1191,plain,
! [X0] :
( ~ sQ67_spl
| sK10_skl(X0,sK4_skl) = sK15_skl(sK10_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl))
| in(sK2_skl(sK11_skl(X0,sK4_skl)),succ(sK4_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f700,f23]) ).
fof(f1192,plain,
! [X0,X1] :
( ~ sQ67_spl
| ~ in(sK2_skl(sK11_skl(X0,sK4_skl)),X1)
| ~ ordinal(sK2_skl(sK11_skl(X0,sK4_skl)))
| in(sK2_skl(sK11_skl(X0,sK4_skl)),sK11_skl(X1,sK4_skl))
| sP0_prd(sK10_skl(X1,sK4_skl),sK9_skl(X1,sK4_skl),sK8_skl(X1,sK4_skl),X1)
| ~ ordinal(sK4_skl)
| sK10_skl(X0,sK4_skl) = sK15_skl(sK10_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl)) ),
inference(resolution,[status(thm)],[f1191,f84]) ).
fof(f1195,definition,
! [X0,X1] :
( sQ110_spl
<=> ( ~ in(sK2_skl(sK11_skl(X0,sK4_skl)),X1)
| ~ ordinal(sK2_skl(sK11_skl(X0,sK4_skl)))
| in(sK2_skl(sK11_skl(X0,sK4_skl)),sK11_skl(X1,sK4_skl))
| sP0_prd(sK10_skl(X1,sK4_skl),sK9_skl(X1,sK4_skl),sK8_skl(X1,sK4_skl),X1)
| sK10_skl(X0,sK4_skl) = sK15_skl(sK10_skl(X0,sK4_skl),sK9_skl(X0,sK4_skl),sK8_skl(X0,sK4_skl),X0)
| sK2_skl(sK11_skl(X0,sK4_skl)) = sK3_skl(sK11_skl(X0,sK4_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1198,plain,
( ~ sQ67_spl
| ~ sQ1_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f1192,f1195,f93,f693]) ).
fof(f1201,plain,
! [X0] :
( ~ sQ71_spl
| sK10_skl(X0,sK0_skl) = sK15_skl(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl))
| in(sK2_skl(sK11_skl(X0,sK0_skl)),succ(sK0_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f725,f21]) ).
fof(f1202,plain,
! [X0,X1] :
( ~ sQ71_spl
| ~ in(sK2_skl(sK11_skl(X0,sK0_skl)),X1)
| ~ ordinal(sK2_skl(sK11_skl(X0,sK0_skl)))
| in(sK2_skl(sK11_skl(X0,sK0_skl)),sK11_skl(X1,sK0_skl))
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| ~ ordinal(sK0_skl)
| sK10_skl(X0,sK0_skl) = sK15_skl(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl)) ),
inference(resolution,[status(thm)],[f1201,f84]) ).
fof(f1205,definition,
! [X0,X1] :
( sQ111_spl
<=> ( ~ in(sK2_skl(sK11_skl(X0,sK0_skl)),X1)
| ~ ordinal(sK2_skl(sK11_skl(X0,sK0_skl)))
| in(sK2_skl(sK11_skl(X0,sK0_skl)),sK11_skl(X1,sK0_skl))
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| sK10_skl(X0,sK0_skl) = sK15_skl(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0)
| sK2_skl(sK11_skl(X0,sK0_skl)) = sK3_skl(sK11_skl(X0,sK0_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1208,plain,
( ~ sQ71_spl
| ~ sQ6_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f1202,f1205,f133,f718]) ).
fof(f1376,plain,
! [X0,X1,X2] :
( ~ in(X1,sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0),X1,X2))
| sK8_skl(X1,X2) = sK10_skl(X1,X2)
| sK8_skl(sK11_skl(X1,X2),X0) = sK10_skl(sK11_skl(X1,X2),X0)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f995,f48]) ).
fof(f1377,plain,
! [X0,X1] :
( sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f584,f995]) ).
fof(f1378,plain,
! [X0,X1] :
( sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f581,f995]) ).
fof(f1379,plain,
! [X0,X1] :
( sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f580,f995]) ).
fof(f1380,plain,
! [X0,X1] :
( ~ sQ5_spl
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f579,f995]) ).
fof(f1381,plain,
! [X0,X1] :
( ~ sQ43_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl)
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK0_skl) = sK10_skl(sK11_skl(X0,X1),sK0_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl))
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f422,f995]) ).
fof(f1382,plain,
! [X0,X1] :
( ~ sQ38_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl)
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK4_skl) = sK10_skl(sK11_skl(X0,X1),sK4_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl))
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f382,f995]) ).
fof(f1383,plain,
! [X0,X1] :
( ~ sQ33_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl)
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK5_skl) = sK10_skl(sK11_skl(X0,X1),sK5_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl))
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f342,f995]) ).
fof(f1384,plain,
! [X0,X1] :
( ~ sQ28_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl)
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK6_skl) = sK10_skl(sK11_skl(X0,X1),sK6_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl))
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f299,f995]) ).
fof(f1385,definition,
! [X0,X1] :
( sQ112_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1388,plain,
( sQ112_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f1377,f1068,f1385]) ).
fof(f1389,definition,
! [X0,X1] :
( sQ113_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1392,plain,
( sQ113_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f1378,f1020,f1389]) ).
fof(f1393,definition,
! [X0,X1] :
( sQ114_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1396,plain,
( sQ114_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f1379,f956,f1393]) ).
fof(f1397,definition,
! [X0,X1] :
( sQ115_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1400,plain,
( ~ sQ5_spl
| sQ115_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f1380,f908,f1397,f116]) ).
fof(f1401,definition,
! [X0,X1] :
( sQ116_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl)
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK0_skl) = sK10_skl(sK11_skl(X0,X1),sK0_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1404,plain,
( ~ sQ43_spl
| sQ116_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1381,f133,f1401,f413]) ).
fof(f1405,definition,
! [X0,X1] :
( sQ117_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl)
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK4_skl) = sK10_skl(sK11_skl(X0,X1),sK4_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1408,plain,
( ~ sQ38_spl
| sQ117_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1382,f93,f1405,f373]) ).
fof(f1409,definition,
! [X0,X1] :
( sQ118_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl)
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK5_skl) = sK10_skl(sK11_skl(X0,X1),sK5_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1412,plain,
( ~ sQ33_spl
| sQ118_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1383,f101,f1409,f333]) ).
fof(f1413,definition,
! [X0,X1] :
( sQ119_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl)
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK6_skl) = sK10_skl(sK11_skl(X0,X1),sK6_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1416,plain,
( ~ sQ28_spl
| sQ119_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1384,f116,f1413,f290]) ).
fof(f1422,plain,
! [X0,X1,X2] :
( ~ in(X1,sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0),X1,X2))
| sK8_skl(X1,X2) = sK9_skl(X1,X2)
| sK8_skl(sK11_skl(X1,X2),X0) = sK10_skl(sK11_skl(X1,X2),X0)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f996,f48]) ).
fof(f1423,plain,
! [X0,X1] :
( sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f584,f996]) ).
fof(f1424,plain,
! [X0,X1] :
( sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f581,f996]) ).
fof(f1425,plain,
! [X0,X1] :
( sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f580,f996]) ).
fof(f1426,plain,
! [X0,X1] :
( ~ sQ5_spl
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f579,f996]) ).
fof(f1427,plain,
! [X0,X1] :
( ~ sQ43_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl)
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK0_skl) = sK10_skl(sK11_skl(X0,X1),sK0_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl))
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f422,f996]) ).
fof(f1428,plain,
! [X0,X1] :
( ~ sQ38_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl)
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK4_skl) = sK10_skl(sK11_skl(X0,X1),sK4_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl))
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f382,f996]) ).
fof(f1429,plain,
! [X0,X1] :
( ~ sQ33_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl)
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK5_skl) = sK10_skl(sK11_skl(X0,X1),sK5_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl))
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f342,f996]) ).
fof(f1430,plain,
! [X0,X1] :
( ~ sQ28_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl)
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK6_skl) = sK10_skl(sK11_skl(X0,X1),sK6_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl))
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f299,f996]) ).
fof(f1431,definition,
! [X0,X1] :
( sQ120_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1434,plain,
( sQ120_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f1423,f1068,f1431]) ).
fof(f1435,definition,
! [X0,X1] :
( sQ121_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1438,plain,
( sQ121_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f1424,f1020,f1435]) ).
fof(f1439,definition,
! [X0,X1] :
( sQ122_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1442,plain,
( sQ122_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f1425,f956,f1439]) ).
fof(f1443,definition,
! [X0,X1] :
( sQ123_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1446,plain,
( ~ sQ5_spl
| sQ123_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f1426,f908,f1443,f116]) ).
fof(f1447,definition,
! [X0,X1] :
( sQ124_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl)
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK0_skl) = sK10_skl(sK11_skl(X0,X1),sK0_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1450,plain,
( ~ sQ43_spl
| sQ124_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1427,f133,f1447,f413]) ).
fof(f1451,definition,
! [X0,X1] :
( sQ125_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl)
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK4_skl) = sK10_skl(sK11_skl(X0,X1),sK4_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1454,plain,
( ~ sQ38_spl
| sQ125_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1428,f93,f1451,f373]) ).
fof(f1455,definition,
! [X0,X1] :
( sQ126_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl)
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK5_skl) = sK10_skl(sK11_skl(X0,X1),sK5_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1458,plain,
( ~ sQ33_spl
| sQ126_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1429,f101,f1455,f333]) ).
fof(f1459,definition,
! [X0,X1] :
( sQ127_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl)
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK6_skl) = sK10_skl(sK11_skl(X0,X1),sK6_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1462,plain,
( ~ sQ28_spl
| sQ127_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1430,f116,f1459,f290]) ).
fof(f1468,plain,
! [X0,X1,X2] :
( ~ in(X1,sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0),X1,X2))
| sK8_skl(X1,X2) = sK10_skl(X1,X2)
| sK8_skl(sK11_skl(X1,X2),X0) = sK9_skl(sK11_skl(X1,X2),X0)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f1003,f48]) ).
fof(f1469,plain,
! [X0,X1] :
( sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f584,f1003]) ).
fof(f1470,plain,
! [X0,X1] :
( sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f581,f1003]) ).
fof(f1471,plain,
! [X0,X1] :
( sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f580,f1003]) ).
fof(f1472,plain,
! [X0,X1] :
( ~ sQ5_spl
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f579,f1003]) ).
fof(f1473,plain,
! [X0,X1] :
( ~ sQ43_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl)
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK0_skl) = sK9_skl(sK11_skl(X0,X1),sK0_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl))
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f422,f1003]) ).
fof(f1474,plain,
! [X0,X1] :
( ~ sQ38_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl)
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK4_skl) = sK9_skl(sK11_skl(X0,X1),sK4_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl))
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f382,f1003]) ).
fof(f1475,plain,
! [X0,X1] :
( ~ sQ33_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl)
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK5_skl) = sK9_skl(sK11_skl(X0,X1),sK5_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl))
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f342,f1003]) ).
fof(f1476,plain,
! [X0,X1] :
( ~ sQ28_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl)
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK6_skl) = sK9_skl(sK11_skl(X0,X1),sK6_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl))
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f299,f1003]) ).
fof(f1477,definition,
! [X0,X1] :
( sQ128_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1480,plain,
( sQ128_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f1469,f1068,f1477]) ).
fof(f1481,definition,
! [X0,X1] :
( sQ129_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1484,plain,
( sQ129_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f1470,f1020,f1481]) ).
fof(f1485,definition,
! [X0,X1] :
( sQ130_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1488,plain,
( sQ130_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f1471,f956,f1485]) ).
fof(f1489,definition,
! [X0,X1] :
( sQ131_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1492,plain,
( ~ sQ5_spl
| sQ131_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f1472,f908,f1489,f116]) ).
fof(f1493,definition,
! [X0,X1] :
( sQ132_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl)
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK0_skl) = sK9_skl(sK11_skl(X0,X1),sK0_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1496,plain,
( ~ sQ43_spl
| sQ132_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1473,f133,f1493,f413]) ).
fof(f1497,definition,
! [X0,X1] :
( sQ133_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl)
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK4_skl) = sK9_skl(sK11_skl(X0,X1),sK4_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1500,plain,
( ~ sQ38_spl
| sQ133_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1474,f93,f1497,f373]) ).
fof(f1501,definition,
! [X0,X1] :
( sQ134_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl)
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK5_skl) = sK9_skl(sK11_skl(X0,X1),sK5_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1504,plain,
( ~ sQ33_spl
| sQ134_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1475,f101,f1501,f333]) ).
fof(f1505,definition,
! [X0,X1] :
( sQ135_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl)
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK6_skl) = sK9_skl(sK11_skl(X0,X1),sK6_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1508,plain,
( ~ sQ28_spl
| sQ135_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1476,f116,f1505,f290]) ).
fof(f1518,plain,
! [X0,X1,X2] :
( ~ in(X1,sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)),sK11_skl(X1,X2),X0),X1,X2))
| sK8_skl(X1,X2) = sK9_skl(X1,X2)
| sK8_skl(sK11_skl(X1,X2),X0) = sK9_skl(sK11_skl(X1,X2),X0)
| ~ ordinal(X2)
| sK2_skl(sK11_skl(sK11_skl(X1,X2),X0)) = sK3_skl(sK11_skl(sK11_skl(X1,X2),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f1004,f48]) ).
fof(f1519,plain,
! [X0,X1] :
( sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f584,f1004]) ).
fof(f1520,plain,
! [X0,X1] :
( sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f581,f1004]) ).
fof(f1521,plain,
! [X0,X1] :
( sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f580,f1004]) ).
fof(f1522,plain,
! [X0,X1] :
( ~ sQ5_spl
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f579,f1004]) ).
fof(f1523,plain,
! [X0,X1] :
( ~ sQ43_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl)
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK0_skl) = sK9_skl(sK11_skl(X0,X1),sK0_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl))
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f422,f1004]) ).
fof(f1524,plain,
! [X0,X1] :
( ~ sQ38_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl)
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK4_skl) = sK9_skl(sK11_skl(X0,X1),sK4_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl))
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f382,f1004]) ).
fof(f1525,plain,
! [X0,X1] :
( ~ sQ33_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl)
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK5_skl) = sK9_skl(sK11_skl(X0,X1),sK5_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl))
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f342,f1004]) ).
fof(f1526,plain,
! [X0,X1] :
( ~ sQ28_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl)
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK6_skl) = sK9_skl(sK11_skl(X0,X1),sK6_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl))
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f299,f1004]) ).
fof(f1527,definition,
! [X0,X1] :
( sQ136_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1530,plain,
( sQ136_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f1519,f1068,f1527]) ).
fof(f1531,definition,
! [X0,X1] :
( sQ137_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1534,plain,
( sQ137_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f1520,f1020,f1531]) ).
fof(f1535,definition,
! [X0,X1] :
( sQ138_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1538,plain,
( sQ138_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f1521,f956,f1535]) ).
fof(f1539,definition,
! [X0,X1] :
( sQ139_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1542,plain,
( ~ sQ5_spl
| sQ139_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f1522,f908,f1539,f116]) ).
fof(f1543,definition,
! [X0,X1] :
( sQ140_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl)
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK0_skl) = sK9_skl(sK11_skl(X0,X1),sK0_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1546,plain,
( ~ sQ43_spl
| sQ140_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1523,f133,f1543,f413]) ).
fof(f1547,definition,
! [X0,X1] :
( sQ141_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl)
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK4_skl) = sK9_skl(sK11_skl(X0,X1),sK4_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1550,plain,
( ~ sQ38_spl
| sQ141_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1524,f93,f1547,f373]) ).
fof(f1551,definition,
! [X0,X1] :
( sQ142_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl)
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK5_skl) = sK9_skl(sK11_skl(X0,X1),sK5_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1554,plain,
( ~ sQ33_spl
| sQ142_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1525,f101,f1551,f333]) ).
fof(f1555,definition,
! [X0,X1] :
( sQ143_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl)
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK6_skl) = sK9_skl(sK11_skl(X0,X1),sK6_skl)
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1558,plain,
( ~ sQ28_spl
| sQ143_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1526,f116,f1555,f290]) ).
fof(f1563,plain,
! [X0,X1] :
( sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f584,f1376]) ).
fof(f1564,plain,
! [X0,X1] :
( sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f581,f1376]) ).
fof(f1565,plain,
! [X0,X1] :
( sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f580,f1376]) ).
fof(f1566,plain,
! [X0,X1] :
( ~ sQ5_spl
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f579,f1376]) ).
fof(f1567,plain,
! [X0,X1] :
( ~ sQ43_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK0_skl) = sK10_skl(sK11_skl(X0,X1),sK0_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl))
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f422,f1376]) ).
fof(f1568,plain,
! [X0,X1] :
( ~ sQ38_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK4_skl) = sK10_skl(sK11_skl(X0,X1),sK4_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl))
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f382,f1376]) ).
fof(f1569,plain,
! [X0,X1] :
( ~ sQ33_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK5_skl) = sK10_skl(sK11_skl(X0,X1),sK5_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl))
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f342,f1376]) ).
fof(f1570,plain,
! [X0,X1] :
( ~ sQ28_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK6_skl) = sK10_skl(sK11_skl(X0,X1),sK6_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl))
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f299,f1376]) ).
fof(f1571,definition,
! [X0,X1] :
( sQ144_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1574,plain,
( sQ144_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f1563,f1068,f1571]) ).
fof(f1575,definition,
! [X0,X1] :
( sQ145_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1578,plain,
( sQ145_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f1564,f1020,f1575]) ).
fof(f1579,definition,
! [X0,X1] :
( sQ146_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1582,plain,
( sQ146_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f1565,f956,f1579]) ).
fof(f1583,definition,
! [X0,X1] :
( sQ147_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1586,plain,
( ~ sQ5_spl
| sQ147_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f1566,f908,f1583,f116]) ).
fof(f1587,definition,
! [X0,X1] :
( sQ148_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK0_skl) = sK10_skl(sK11_skl(X0,X1),sK0_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1590,plain,
( ~ sQ43_spl
| sQ148_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1567,f133,f1587,f413]) ).
fof(f1591,definition,
! [X0,X1] :
( sQ149_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK4_skl) = sK10_skl(sK11_skl(X0,X1),sK4_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1594,plain,
( ~ sQ38_spl
| sQ149_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1568,f93,f1591,f373]) ).
fof(f1595,definition,
! [X0,X1] :
( sQ150_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK5_skl) = sK10_skl(sK11_skl(X0,X1),sK5_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1598,plain,
( ~ sQ33_spl
| sQ150_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1569,f101,f1595,f333]) ).
fof(f1599,definition,
! [X0,X1] :
( sQ151_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK6_skl) = sK10_skl(sK11_skl(X0,X1),sK6_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1602,plain,
( ~ sQ28_spl
| sQ151_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1570,f116,f1599,f290]) ).
fof(f1603,plain,
! [X0,X1] :
( sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f584,f1422]) ).
fof(f1604,plain,
! [X0,X1] :
( sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f581,f1422]) ).
fof(f1605,plain,
! [X0,X1] :
( sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f580,f1422]) ).
fof(f1606,plain,
! [X0,X1] :
( ~ sQ5_spl
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f579,f1422]) ).
fof(f1607,plain,
! [X0,X1] :
( ~ sQ43_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK0_skl) = sK10_skl(sK11_skl(X0,X1),sK0_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl))
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f422,f1422]) ).
fof(f1608,plain,
! [X0,X1] :
( ~ sQ38_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK4_skl) = sK10_skl(sK11_skl(X0,X1),sK4_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl))
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f382,f1422]) ).
fof(f1609,plain,
! [X0,X1] :
( ~ sQ33_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK5_skl) = sK10_skl(sK11_skl(X0,X1),sK5_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl))
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f342,f1422]) ).
fof(f1610,plain,
! [X0,X1] :
( ~ sQ28_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK6_skl) = sK10_skl(sK11_skl(X0,X1),sK6_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl))
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f299,f1422]) ).
fof(f1611,definition,
! [X0,X1] :
( sQ152_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1614,plain,
( sQ152_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f1603,f1068,f1611]) ).
fof(f1615,definition,
! [X0,X1] :
( sQ153_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1618,plain,
( sQ153_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f1604,f1020,f1615]) ).
fof(f1619,definition,
! [X0,X1] :
( sQ154_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1622,plain,
( sQ154_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f1605,f956,f1619]) ).
fof(f1623,definition,
! [X0,X1] :
( sQ155_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1626,plain,
( ~ sQ5_spl
| sQ155_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f1606,f908,f1623,f116]) ).
fof(f1627,definition,
! [X0,X1] :
( sQ156_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK0_skl) = sK10_skl(sK11_skl(X0,X1),sK0_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1630,plain,
( ~ sQ43_spl
| sQ156_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1607,f133,f1627,f413]) ).
fof(f1631,definition,
! [X0,X1] :
( sQ157_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK4_skl) = sK10_skl(sK11_skl(X0,X1),sK4_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1634,plain,
( ~ sQ38_spl
| sQ157_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1608,f93,f1631,f373]) ).
fof(f1635,definition,
! [X0,X1] :
( sQ158_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK5_skl) = sK10_skl(sK11_skl(X0,X1),sK5_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1638,plain,
( ~ sQ33_spl
| sQ158_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1609,f101,f1635,f333]) ).
fof(f1639,definition,
! [X0,X1] :
( sQ159_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK6_skl) = sK10_skl(sK11_skl(X0,X1),sK6_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1642,plain,
( ~ sQ28_spl
| sQ159_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1610,f116,f1639,f290]) ).
fof(f1643,plain,
! [X0,X1] :
( sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f584,f1468]) ).
fof(f1644,plain,
! [X0,X1] :
( sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f581,f1468]) ).
fof(f1645,plain,
! [X0,X1] :
( sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f580,f1468]) ).
fof(f1646,plain,
! [X0,X1] :
( ~ sQ5_spl
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f579,f1468]) ).
fof(f1647,plain,
! [X0,X1] :
( ~ sQ43_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK0_skl) = sK9_skl(sK11_skl(X0,X1),sK0_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl))
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f422,f1468]) ).
fof(f1648,plain,
! [X0,X1] :
( ~ sQ38_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK4_skl) = sK9_skl(sK11_skl(X0,X1),sK4_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl))
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f382,f1468]) ).
fof(f1649,plain,
! [X0,X1] :
( ~ sQ33_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK5_skl) = sK9_skl(sK11_skl(X0,X1),sK5_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl))
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f342,f1468]) ).
fof(f1650,plain,
! [X0,X1] :
( ~ sQ28_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK6_skl) = sK9_skl(sK11_skl(X0,X1),sK6_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl))
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f299,f1468]) ).
fof(f1651,definition,
! [X0,X1] :
( sQ160_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1654,plain,
( sQ160_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f1643,f1068,f1651]) ).
fof(f1655,definition,
! [X0,X1] :
( sQ161_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1658,plain,
( sQ161_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f1644,f1020,f1655]) ).
fof(f1659,definition,
! [X0,X1] :
( sQ162_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1662,plain,
( sQ162_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f1645,f956,f1659]) ).
fof(f1663,definition,
! [X0,X1] :
( sQ163_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1666,plain,
( ~ sQ5_spl
| sQ163_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f1646,f908,f1663,f116]) ).
fof(f1667,definition,
! [X0,X1] :
( sQ164_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK0_skl) = sK9_skl(sK11_skl(X0,X1),sK0_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1670,plain,
( ~ sQ43_spl
| sQ164_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1647,f133,f1667,f413]) ).
fof(f1671,definition,
! [X0,X1] :
( sQ165_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK4_skl) = sK9_skl(sK11_skl(X0,X1),sK4_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1674,plain,
( ~ sQ38_spl
| sQ165_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1648,f93,f1671,f373]) ).
fof(f1675,definition,
! [X0,X1] :
( sQ166_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK5_skl) = sK9_skl(sK11_skl(X0,X1),sK5_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1678,plain,
( ~ sQ33_spl
| sQ166_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1649,f101,f1675,f333]) ).
fof(f1679,definition,
! [X0,X1] :
( sQ167_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK6_skl) = sK9_skl(sK11_skl(X0,X1),sK6_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1682,plain,
( ~ sQ28_spl
| sQ167_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1650,f116,f1679,f290]) ).
fof(f1687,plain,
! [X0,X1] :
( sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f584,f1518]) ).
fof(f1688,plain,
! [X0,X1] :
( sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f581,f1518]) ).
fof(f1689,plain,
! [X0,X1] :
( sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f580,f1518]) ).
fof(f1690,plain,
! [X0,X1] :
( ~ sQ5_spl
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f579,f1518]) ).
fof(f1691,plain,
! [X0,X1] :
( ~ sQ43_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK0_skl) = sK9_skl(sK11_skl(X0,X1),sK0_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl))
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f422,f1518]) ).
fof(f1692,plain,
! [X0,X1] :
( ~ sQ38_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK4_skl) = sK9_skl(sK11_skl(X0,X1),sK4_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl))
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f382,f1518]) ).
fof(f1693,plain,
! [X0,X1] :
( ~ sQ33_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK5_skl) = sK9_skl(sK11_skl(X0,X1),sK5_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl))
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f342,f1518]) ).
fof(f1694,plain,
! [X0,X1] :
( ~ sQ28_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK6_skl) = sK9_skl(sK11_skl(X0,X1),sK6_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl))
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f299,f1518]) ).
fof(f1695,definition,
! [X0,X1] :
( sQ168_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1698,plain,
( sQ168_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f1687,f1068,f1695]) ).
fof(f1699,definition,
! [X0,X1] :
( sQ169_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1702,plain,
( sQ169_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f1688,f1020,f1699]) ).
fof(f1703,definition,
! [X0,X1] :
( sQ170_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1706,plain,
( sQ170_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f1689,f956,f1703]) ).
fof(f1707,definition,
! [X0,X1] :
( sQ171_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1710,plain,
( ~ sQ5_spl
| sQ171_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f1690,f908,f1707,f116]) ).
fof(f1711,definition,
! [X0,X1] :
( sQ172_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK0_skl) = sK9_skl(sK11_skl(X0,X1),sK0_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1714,plain,
( ~ sQ43_spl
| sQ172_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1691,f133,f1711,f413]) ).
fof(f1715,definition,
! [X0,X1] :
( sQ173_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK4_skl) = sK9_skl(sK11_skl(X0,X1),sK4_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1718,plain,
( ~ sQ38_spl
| sQ173_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1692,f93,f1715,f373]) ).
fof(f1719,definition,
! [X0,X1] :
( sQ174_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK5_skl) = sK9_skl(sK11_skl(X0,X1),sK5_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1722,plain,
( ~ sQ33_spl
| sQ174_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1693,f101,f1719,f333]) ).
fof(f1723,definition,
! [X0,X1] :
( sQ175_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl)
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),sK6_skl) = sK9_skl(sK11_skl(X0,X1),sK6_skl)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1726,plain,
( ~ sQ28_spl
| sQ175_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1694,f116,f1723,f290]) ).
fof(f1834,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl))),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))))
| ~ ordinal(succ(succ(sK6_skl))) ),
inference(paramodulation,[status(thm)],[f935,f1518]) ).
fof(f1835,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl))),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))))
| ~ ordinal(succ(succ(sK6_skl))) ),
inference(paramodulation,[status(thm)],[f935,f1468]) ).
fof(f1836,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl))),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))))
| ~ ordinal(succ(succ(sK6_skl))) ),
inference(paramodulation,[status(thm)],[f935,f1422]) ).
fof(f1837,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl))),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))))
| ~ ordinal(succ(succ(sK6_skl))) ),
inference(paramodulation,[status(thm)],[f935,f1376]) ).
fof(f1838,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))))
| ~ ordinal(succ(succ(sK6_skl))) ),
inference(paramodulation,[status(thm)],[f935,f1004]) ).
fof(f1839,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))))
| ~ ordinal(succ(succ(sK6_skl))) ),
inference(paramodulation,[status(thm)],[f935,f1003]) ).
fof(f1840,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))))
| ~ ordinal(succ(succ(sK6_skl))) ),
inference(paramodulation,[status(thm)],[f935,f996]) ).
fof(f1841,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))))
| ~ ordinal(succ(succ(sK6_skl))) ),
inference(paramodulation,[status(thm)],[f935,f995]) ).
fof(f1842,plain,
! [X0] :
( ~ sQ88_spl
| sK8_skl(succ(X0),succ(succ(sK6_skl))) = sK9_skl(succ(X0),succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK6_skl)))),succ(X0),succ(succ(sK6_skl)))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(succ(sK6_skl)))),succ(X0),succ(succ(sK6_skl))))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK6_skl)))),succ(X0),succ(succ(sK6_skl))),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK6_skl)))) = sK3_skl(sK11_skl(succ(X0),succ(succ(sK6_skl))))
| sP0_prd(sK10_skl(succ(X0),succ(succ(sK6_skl))),sK9_skl(succ(X0),succ(succ(sK6_skl))),sK8_skl(succ(X0),succ(succ(sK6_skl))),succ(X0))
| ~ ordinal(succ(succ(sK6_skl))) ),
inference(paramodulation,[status(thm)],[f935,f324]) ).
fof(f1843,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK8_skl(succ(X0),succ(succ(sK6_skl))) = sK9_skl(succ(X0),succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK6_skl)))),succ(X0),succ(succ(sK6_skl)))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(succ(sK6_skl)))),succ(X0),succ(succ(sK6_skl))),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK6_skl)))),succ(X0),succ(succ(sK6_skl))))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK6_skl)))),succ(X0),succ(succ(sK6_skl))),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK6_skl)))) = sK3_skl(sK11_skl(succ(X0),succ(succ(sK6_skl))))
| sP0_prd(sK10_skl(succ(X0),succ(succ(sK6_skl))),sK9_skl(succ(X0),succ(succ(sK6_skl))),sK8_skl(succ(X0),succ(succ(sK6_skl))),succ(X0))
| ~ ordinal(succ(succ(sK6_skl))) ),
inference(paramodulation,[status(thm)],[f935,f142]) ).
fof(f1844,plain,
! [X0] :
( ~ sQ88_spl
| sK8_skl(X0,succ(succ(sK6_skl))) = sK9_skl(X0,succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK6_skl)))),X0,succ(succ(sK6_skl)))
| ~ ordinal(sK6_skl)
| sK8_skl(X0,succ(succ(sK6_skl))) = sK9_skl(X0,succ(succ(sK6_skl)))
| sK3_skl(sK11_skl(X0,succ(succ(sK6_skl)))) = sK3_skl(sK11_skl(X0,succ(succ(sK6_skl))))
| sK2_skl(sK11_skl(X0,succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK6_skl)))),X0,succ(succ(sK6_skl))) ),
inference(paramodulation,[status(thm)],[f935,f582]) ).
fof(f1845,plain,
! [X0] :
( ~ sQ88_spl
| sK8_skl(X0,succ(succ(sK6_skl))) = sK9_skl(X0,succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK6_skl)))),X0,succ(succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(succ(sK6_skl)))),X0,succ(succ(sK6_skl))))
| sK2_skl(sK11_skl(X0,succ(succ(sK6_skl)))) = sK3_skl(sK11_skl(X0,succ(succ(sK6_skl))))
| sP0_prd(sK10_skl(X0,succ(succ(sK6_skl))),sK9_skl(X0,succ(succ(sK6_skl))),sK8_skl(X0,succ(succ(sK6_skl))),X0)
| ~ ordinal(succ(succ(sK6_skl))) ),
inference(paramodulation,[status(thm)],[f935,f146]) ).
fof(f1846,plain,
! [X0] :
( ~ sQ88_spl
| sK8_skl(X0,succ(succ(sK6_skl))) = sK9_skl(X0,succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK6_skl)))),X0,succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK6_skl)))) = sK3_skl(sK11_skl(X0,succ(succ(sK6_skl))))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(succ(sK6_skl)))),X0,succ(succ(sK6_skl))),X0)
| sP0_prd(sK10_skl(X0,succ(succ(sK6_skl))),sK9_skl(X0,succ(succ(sK6_skl))),sK8_skl(X0,succ(succ(sK6_skl))),X0)
| ~ ordinal(succ(succ(sK6_skl))) ),
inference(paramodulation,[status(thm)],[f935,f128]) ).
fof(f1864,definition,
( sQ176_spl
<=> ordinal(succ(succ(sK6_skl))) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1866,plain,
( sQ176_spl
| ~ ordinal(succ(succ(sK6_skl))) ),
inference(component_clause,[status(thm)],[f1864]) ).
fof(f1867,definition,
! [X0,X1] :
( sQ177_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl))),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1870,plain,
( ~ sQ88_spl
| sQ177_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f1834,f1864,f1867,f908]) ).
fof(f1871,definition,
! [X0,X1] :
( sQ178_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl))),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1874,plain,
( ~ sQ88_spl
| sQ178_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f1835,f1864,f1871,f908]) ).
fof(f1875,definition,
! [X0,X1] :
( sQ179_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl))),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1878,plain,
( ~ sQ88_spl
| sQ179_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f1836,f1864,f1875,f908]) ).
fof(f1879,definition,
! [X0,X1] :
( sQ180_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl))),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1882,plain,
( ~ sQ88_spl
| sQ180_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f1837,f1864,f1879,f908]) ).
fof(f1883,definition,
! [X0,X1] :
( sQ181_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1886,plain,
( ~ sQ88_spl
| sQ181_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f1838,f1864,f1883,f908]) ).
fof(f1887,definition,
! [X0,X1] :
( sQ182_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1890,plain,
( ~ sQ88_spl
| sQ182_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f1839,f1864,f1887,f908]) ).
fof(f1891,definition,
! [X0,X1] :
( sQ183_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1894,plain,
( ~ sQ88_spl
| sQ183_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f1840,f1864,f1891,f908]) ).
fof(f1895,definition,
! [X0,X1] :
( sQ184_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK6_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))),sK11_skl(X0,X1),succ(succ(sK6_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK6_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1898,plain,
( ~ sQ88_spl
| sQ184_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f1841,f1864,f1895,f908]) ).
fof(f1899,definition,
! [X0] :
( sQ185_spl
<=> ( sK8_skl(succ(X0),succ(succ(sK6_skl))) = sK9_skl(succ(X0),succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK6_skl)))),succ(X0),succ(succ(sK6_skl)))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(succ(sK6_skl)))),succ(X0),succ(succ(sK6_skl))))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK6_skl)))),succ(X0),succ(succ(sK6_skl))),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK6_skl)))) = sK3_skl(sK11_skl(succ(X0),succ(succ(sK6_skl))))
| sP0_prd(sK10_skl(succ(X0),succ(succ(sK6_skl))),sK9_skl(succ(X0),succ(succ(sK6_skl))),sK8_skl(succ(X0),succ(succ(sK6_skl))),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1902,plain,
( ~ sQ88_spl
| sQ185_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f1842,f1864,f1899,f908]) ).
fof(f1903,definition,
! [X0,X1] :
( sQ186_spl
<=> ( sK8_skl(succ(X0),succ(succ(sK6_skl))) = sK9_skl(succ(X0),succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK6_skl)))),succ(X0),succ(succ(sK6_skl)))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(succ(sK6_skl)))),succ(X0),succ(succ(sK6_skl))),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK6_skl)))),succ(X0),succ(succ(sK6_skl))))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK6_skl)))),succ(X0),succ(succ(sK6_skl))),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK6_skl)))) = sK3_skl(sK11_skl(succ(X0),succ(succ(sK6_skl))))
| sP0_prd(sK10_skl(succ(X0),succ(succ(sK6_skl))),sK9_skl(succ(X0),succ(succ(sK6_skl))),sK8_skl(succ(X0),succ(succ(sK6_skl))),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1906,plain,
( ~ sQ88_spl
| sQ186_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f1843,f1864,f1903,f908]) ).
fof(f1907,definition,
! [X0] :
( sQ187_spl
<=> ( sK8_skl(X0,succ(succ(sK6_skl))) = sK9_skl(X0,succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK6_skl)))),X0,succ(succ(sK6_skl)))
| sK8_skl(X0,succ(succ(sK6_skl))) = sK9_skl(X0,succ(succ(sK6_skl)))
| sK3_skl(sK11_skl(X0,succ(succ(sK6_skl)))) = sK3_skl(sK11_skl(X0,succ(succ(sK6_skl))))
| sK2_skl(sK11_skl(X0,succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK6_skl)))),X0,succ(succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1910,plain,
( ~ sQ88_spl
| ~ sQ5_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f1844,f1907,f116,f908]) ).
fof(f1911,definition,
! [X0] :
( sQ188_spl
<=> ( sK8_skl(X0,succ(succ(sK6_skl))) = sK9_skl(X0,succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK6_skl)))),X0,succ(succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(succ(sK6_skl)))),X0,succ(succ(sK6_skl))))
| sK2_skl(sK11_skl(X0,succ(succ(sK6_skl)))) = sK3_skl(sK11_skl(X0,succ(succ(sK6_skl))))
| sP0_prd(sK10_skl(X0,succ(succ(sK6_skl))),sK9_skl(X0,succ(succ(sK6_skl))),sK8_skl(X0,succ(succ(sK6_skl))),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1914,plain,
( ~ sQ88_spl
| sQ188_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f1845,f1864,f1911,f908]) ).
fof(f1915,definition,
! [X0] :
( sQ189_spl
<=> ( sK8_skl(X0,succ(succ(sK6_skl))) = sK9_skl(X0,succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK6_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK6_skl)))),X0,succ(succ(sK6_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK6_skl)))) = sK3_skl(sK11_skl(X0,succ(succ(sK6_skl))))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(succ(sK6_skl)))),X0,succ(succ(sK6_skl))),X0)
| sP0_prd(sK10_skl(X0,succ(succ(sK6_skl))),sK9_skl(X0,succ(succ(sK6_skl))),sK8_skl(X0,succ(succ(sK6_skl))),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1918,plain,
( ~ sQ88_spl
| sQ189_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f1846,f1864,f1915,f908]) ).
fof(f1920,plain,
( sQ176_spl
| ~ ordinal(succ(sK6_skl)) ),
inference(resolution,[status(thm)],[f1866,f57]) ).
fof(f1922,plain,
( sQ176_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f1920,f908,f1864]) ).
fof(f1929,plain,
! [X0,X1] :
( sK2_skl(sK11_skl(succ(X0),sK0_skl)) = sK3_skl(sK11_skl(succ(X0),sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),sK0_skl)),succ(X0),sK0_skl) = sK2_skl(sK11_skl(succ(X0),sK0_skl))
| ~ in(sK14_skl(sK10_skl(succ(X0),sK0_skl),sK9_skl(succ(X0),sK0_skl),sK8_skl(succ(X0),sK0_skl),succ(X0)),X1)
| ~ ordinal(sK9_skl(succ(X0),sK0_skl))
| in(sK14_skl(sK10_skl(succ(X0),sK0_skl),sK9_skl(succ(X0),sK0_skl),sK8_skl(succ(X0),sK0_skl),succ(X0)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK0_skl)) = sK3_skl(sK11_skl(succ(X0),sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),sK0_skl)),succ(X0),sK0_skl) = sK2_skl(sK11_skl(succ(X0),sK0_skl))
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f529,f506]) ).
fof(f1930,plain,
! [X0,X1] :
( sK2_skl(sK11_skl(succ(X0),sK4_skl)) = sK3_skl(sK11_skl(succ(X0),sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),sK4_skl)),succ(X0),sK4_skl) = sK2_skl(sK11_skl(succ(X0),sK4_skl))
| ~ in(sK14_skl(sK10_skl(succ(X0),sK4_skl),sK9_skl(succ(X0),sK4_skl),sK8_skl(succ(X0),sK4_skl),succ(X0)),X1)
| ~ ordinal(sK9_skl(succ(X0),sK4_skl))
| in(sK14_skl(sK10_skl(succ(X0),sK4_skl),sK9_skl(succ(X0),sK4_skl),sK8_skl(succ(X0),sK4_skl),succ(X0)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK4_skl)) = sK3_skl(sK11_skl(succ(X0),sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),sK4_skl)),succ(X0),sK4_skl) = sK2_skl(sK11_skl(succ(X0),sK4_skl))
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f526,f506]) ).
fof(f1931,plain,
! [X0,X1] :
( sK2_skl(sK11_skl(succ(X0),sK5_skl)) = sK3_skl(sK11_skl(succ(X0),sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),sK5_skl)),succ(X0),sK5_skl) = sK2_skl(sK11_skl(succ(X0),sK5_skl))
| ~ in(sK14_skl(sK10_skl(succ(X0),sK5_skl),sK9_skl(succ(X0),sK5_skl),sK8_skl(succ(X0),sK5_skl),succ(X0)),X1)
| ~ ordinal(sK9_skl(succ(X0),sK5_skl))
| in(sK14_skl(sK10_skl(succ(X0),sK5_skl),sK9_skl(succ(X0),sK5_skl),sK8_skl(succ(X0),sK5_skl),succ(X0)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK5_skl)) = sK3_skl(sK11_skl(succ(X0),sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),sK5_skl)),succ(X0),sK5_skl) = sK2_skl(sK11_skl(succ(X0),sK5_skl))
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f525,f506]) ).
fof(f1932,plain,
! [X0,X1] :
( ~ sQ5_spl
| sK2_skl(sK11_skl(succ(X0),sK6_skl)) = sK3_skl(sK11_skl(succ(X0),sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),sK6_skl)),succ(X0),sK6_skl) = sK2_skl(sK11_skl(succ(X0),sK6_skl))
| ~ in(sK14_skl(sK10_skl(succ(X0),sK6_skl),sK9_skl(succ(X0),sK6_skl),sK8_skl(succ(X0),sK6_skl),succ(X0)),X1)
| ~ ordinal(sK9_skl(succ(X0),sK6_skl))
| in(sK14_skl(sK10_skl(succ(X0),sK6_skl),sK9_skl(succ(X0),sK6_skl),sK8_skl(succ(X0),sK6_skl),succ(X0)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK6_skl)) = sK3_skl(sK11_skl(succ(X0),sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),sK6_skl)),succ(X0),sK6_skl) = sK2_skl(sK11_skl(succ(X0),sK6_skl))
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f524,f506]) ).
fof(f1934,definition,
! [X0,X1] :
( sQ190_spl
<=> ( sK2_skl(sK11_skl(succ(X0),sK0_skl)) = sK3_skl(sK11_skl(succ(X0),sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),sK0_skl)),succ(X0),sK0_skl) = sK2_skl(sK11_skl(succ(X0),sK0_skl))
| ~ in(sK14_skl(sK10_skl(succ(X0),sK0_skl),sK9_skl(succ(X0),sK0_skl),sK8_skl(succ(X0),sK0_skl),succ(X0)),X1)
| ~ ordinal(sK9_skl(succ(X0),sK0_skl))
| in(sK14_skl(sK10_skl(succ(X0),sK0_skl),sK9_skl(succ(X0),sK0_skl),sK8_skl(succ(X0),sK0_skl),succ(X0)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK0_skl)) = sK3_skl(sK11_skl(succ(X0),sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),sK0_skl)),succ(X0),sK0_skl) = sK2_skl(sK11_skl(succ(X0),sK0_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1937,plain,
( sQ190_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1929,f133,f1934]) ).
fof(f1938,definition,
! [X0,X1] :
( sQ191_spl
<=> ( sK2_skl(sK11_skl(succ(X0),sK4_skl)) = sK3_skl(sK11_skl(succ(X0),sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),sK4_skl)),succ(X0),sK4_skl) = sK2_skl(sK11_skl(succ(X0),sK4_skl))
| ~ in(sK14_skl(sK10_skl(succ(X0),sK4_skl),sK9_skl(succ(X0),sK4_skl),sK8_skl(succ(X0),sK4_skl),succ(X0)),X1)
| ~ ordinal(sK9_skl(succ(X0),sK4_skl))
| in(sK14_skl(sK10_skl(succ(X0),sK4_skl),sK9_skl(succ(X0),sK4_skl),sK8_skl(succ(X0),sK4_skl),succ(X0)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK4_skl)) = sK3_skl(sK11_skl(succ(X0),sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),sK4_skl)),succ(X0),sK4_skl) = sK2_skl(sK11_skl(succ(X0),sK4_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1941,plain,
( sQ191_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1930,f93,f1938]) ).
fof(f1942,definition,
! [X0,X1] :
( sQ192_spl
<=> ( sK2_skl(sK11_skl(succ(X0),sK5_skl)) = sK3_skl(sK11_skl(succ(X0),sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),sK5_skl)),succ(X0),sK5_skl) = sK2_skl(sK11_skl(succ(X0),sK5_skl))
| ~ in(sK14_skl(sK10_skl(succ(X0),sK5_skl),sK9_skl(succ(X0),sK5_skl),sK8_skl(succ(X0),sK5_skl),succ(X0)),X1)
| ~ ordinal(sK9_skl(succ(X0),sK5_skl))
| in(sK14_skl(sK10_skl(succ(X0),sK5_skl),sK9_skl(succ(X0),sK5_skl),sK8_skl(succ(X0),sK5_skl),succ(X0)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK5_skl)) = sK3_skl(sK11_skl(succ(X0),sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),sK5_skl)),succ(X0),sK5_skl) = sK2_skl(sK11_skl(succ(X0),sK5_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1945,plain,
( sQ192_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1931,f101,f1942]) ).
fof(f1946,definition,
! [X0,X1] :
( sQ193_spl
<=> ( sK2_skl(sK11_skl(succ(X0),sK6_skl)) = sK3_skl(sK11_skl(succ(X0),sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),sK6_skl)),succ(X0),sK6_skl) = sK2_skl(sK11_skl(succ(X0),sK6_skl))
| ~ in(sK14_skl(sK10_skl(succ(X0),sK6_skl),sK9_skl(succ(X0),sK6_skl),sK8_skl(succ(X0),sK6_skl),succ(X0)),X1)
| ~ ordinal(sK9_skl(succ(X0),sK6_skl))
| in(sK14_skl(sK10_skl(succ(X0),sK6_skl),sK9_skl(succ(X0),sK6_skl),sK8_skl(succ(X0),sK6_skl),succ(X0)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK6_skl)) = sK3_skl(sK11_skl(succ(X0),sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),sK6_skl)),succ(X0),sK6_skl) = sK2_skl(sK11_skl(succ(X0),sK6_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1949,plain,
( sQ193_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1932,f116,f1946]) ).
fof(f1975,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl))),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))))
| ~ ordinal(succ(succ(sK5_skl))) ),
inference(paramodulation,[status(thm)],[f983,f1518]) ).
fof(f1976,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl))),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))))
| ~ ordinal(succ(succ(sK5_skl))) ),
inference(paramodulation,[status(thm)],[f983,f1468]) ).
fof(f1977,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl))),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))))
| ~ ordinal(succ(succ(sK5_skl))) ),
inference(paramodulation,[status(thm)],[f983,f1422]) ).
fof(f1978,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl))),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))))
| ~ ordinal(succ(succ(sK5_skl))) ),
inference(paramodulation,[status(thm)],[f983,f1376]) ).
fof(f1979,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))))
| ~ ordinal(succ(succ(sK5_skl))) ),
inference(paramodulation,[status(thm)],[f983,f1004]) ).
fof(f1980,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))))
| ~ ordinal(succ(succ(sK5_skl))) ),
inference(paramodulation,[status(thm)],[f983,f1003]) ).
fof(f1981,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))))
| ~ ordinal(succ(succ(sK5_skl))) ),
inference(paramodulation,[status(thm)],[f983,f996]) ).
fof(f1982,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))))
| ~ ordinal(succ(succ(sK5_skl))) ),
inference(paramodulation,[status(thm)],[f983,f995]) ).
fof(f1983,plain,
! [X0] :
( ~ sQ93_spl
| sK8_skl(succ(X0),succ(succ(sK5_skl))) = sK9_skl(succ(X0),succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK5_skl)))),succ(X0),succ(succ(sK5_skl)))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(succ(sK5_skl)))),succ(X0),succ(succ(sK5_skl))))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK5_skl)))),succ(X0),succ(succ(sK5_skl))),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK5_skl)))) = sK3_skl(sK11_skl(succ(X0),succ(succ(sK5_skl))))
| sP0_prd(sK10_skl(succ(X0),succ(succ(sK5_skl))),sK9_skl(succ(X0),succ(succ(sK5_skl))),sK8_skl(succ(X0),succ(succ(sK5_skl))),succ(X0))
| ~ ordinal(succ(succ(sK5_skl))) ),
inference(paramodulation,[status(thm)],[f983,f324]) ).
fof(f1984,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK8_skl(succ(X0),succ(succ(sK5_skl))) = sK9_skl(succ(X0),succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK5_skl)))),succ(X0),succ(succ(sK5_skl)))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(succ(sK5_skl)))),succ(X0),succ(succ(sK5_skl))),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK5_skl)))),succ(X0),succ(succ(sK5_skl))))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK5_skl)))),succ(X0),succ(succ(sK5_skl))),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK5_skl)))) = sK3_skl(sK11_skl(succ(X0),succ(succ(sK5_skl))))
| sP0_prd(sK10_skl(succ(X0),succ(succ(sK5_skl))),sK9_skl(succ(X0),succ(succ(sK5_skl))),sK8_skl(succ(X0),succ(succ(sK5_skl))),succ(X0))
| ~ ordinal(succ(succ(sK5_skl))) ),
inference(paramodulation,[status(thm)],[f983,f142]) ).
fof(f1985,plain,
! [X0] :
( ~ sQ93_spl
| sK8_skl(X0,succ(succ(sK5_skl))) = sK9_skl(X0,succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK5_skl)))),X0,succ(succ(sK5_skl)))
| ~ ordinal(sK5_skl)
| sK8_skl(X0,succ(succ(sK5_skl))) = sK9_skl(X0,succ(succ(sK5_skl)))
| sK3_skl(sK11_skl(X0,succ(succ(sK5_skl)))) = sK3_skl(sK11_skl(X0,succ(succ(sK5_skl))))
| sK2_skl(sK11_skl(X0,succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK5_skl)))),X0,succ(succ(sK5_skl))) ),
inference(paramodulation,[status(thm)],[f983,f582]) ).
fof(f1986,plain,
! [X0] :
( ~ sQ93_spl
| sK8_skl(X0,succ(succ(sK5_skl))) = sK9_skl(X0,succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK5_skl)))),X0,succ(succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(succ(sK5_skl)))),X0,succ(succ(sK5_skl))))
| sK2_skl(sK11_skl(X0,succ(succ(sK5_skl)))) = sK3_skl(sK11_skl(X0,succ(succ(sK5_skl))))
| sP0_prd(sK10_skl(X0,succ(succ(sK5_skl))),sK9_skl(X0,succ(succ(sK5_skl))),sK8_skl(X0,succ(succ(sK5_skl))),X0)
| ~ ordinal(succ(succ(sK5_skl))) ),
inference(paramodulation,[status(thm)],[f983,f146]) ).
fof(f1987,plain,
! [X0] :
( ~ sQ93_spl
| sK8_skl(X0,succ(succ(sK5_skl))) = sK9_skl(X0,succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK5_skl)))),X0,succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK5_skl)))) = sK3_skl(sK11_skl(X0,succ(succ(sK5_skl))))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(succ(sK5_skl)))),X0,succ(succ(sK5_skl))),X0)
| sP0_prd(sK10_skl(X0,succ(succ(sK5_skl))),sK9_skl(X0,succ(succ(sK5_skl))),sK8_skl(X0,succ(succ(sK5_skl))),X0)
| ~ ordinal(succ(succ(sK5_skl))) ),
inference(paramodulation,[status(thm)],[f983,f128]) ).
fof(f2005,definition,
( sQ194_spl
<=> ordinal(succ(succ(sK5_skl))) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f2007,plain,
( sQ194_spl
| ~ ordinal(succ(succ(sK5_skl))) ),
inference(component_clause,[status(thm)],[f2005]) ).
fof(f2008,definition,
! [X0,X1] :
( sQ195_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl))),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f2011,plain,
( ~ sQ93_spl
| sQ195_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f1975,f2005,f2008,f956]) ).
fof(f2012,definition,
! [X0,X1] :
( sQ196_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl))),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f2015,plain,
( ~ sQ93_spl
| sQ196_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f1976,f2005,f2012,f956]) ).
fof(f2016,definition,
! [X0,X1] :
( sQ197_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl))),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f2019,plain,
( ~ sQ93_spl
| sQ197_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f1977,f2005,f2016,f956]) ).
fof(f2020,definition,
! [X0,X1] :
( sQ198_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl))),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f2023,plain,
( ~ sQ93_spl
| sQ198_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f1978,f2005,f2020,f956]) ).
fof(f2024,definition,
! [X0,X1] :
( sQ199_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f2027,plain,
( ~ sQ93_spl
| sQ199_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f1979,f2005,f2024,f956]) ).
fof(f2028,definition,
! [X0,X1] :
( sQ200_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f2031,plain,
( ~ sQ93_spl
| sQ200_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f1980,f2005,f2028,f956]) ).
fof(f2032,definition,
! [X0,X1] :
( sQ201_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f2035,plain,
( ~ sQ93_spl
| sQ201_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f1981,f2005,f2032,f956]) ).
fof(f2036,definition,
! [X0,X1] :
( sQ202_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK5_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))),sK11_skl(X0,X1),succ(succ(sK5_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK5_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f2039,plain,
( ~ sQ93_spl
| sQ202_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f1982,f2005,f2036,f956]) ).
fof(f2040,definition,
! [X0] :
( sQ203_spl
<=> ( sK8_skl(succ(X0),succ(succ(sK5_skl))) = sK9_skl(succ(X0),succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK5_skl)))),succ(X0),succ(succ(sK5_skl)))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(succ(sK5_skl)))),succ(X0),succ(succ(sK5_skl))))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK5_skl)))),succ(X0),succ(succ(sK5_skl))),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK5_skl)))) = sK3_skl(sK11_skl(succ(X0),succ(succ(sK5_skl))))
| sP0_prd(sK10_skl(succ(X0),succ(succ(sK5_skl))),sK9_skl(succ(X0),succ(succ(sK5_skl))),sK8_skl(succ(X0),succ(succ(sK5_skl))),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f2043,plain,
( ~ sQ93_spl
| sQ203_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f1983,f2005,f2040,f956]) ).
fof(f2044,definition,
! [X0,X1] :
( sQ204_spl
<=> ( sK8_skl(succ(X0),succ(succ(sK5_skl))) = sK9_skl(succ(X0),succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK5_skl)))),succ(X0),succ(succ(sK5_skl)))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(succ(sK5_skl)))),succ(X0),succ(succ(sK5_skl))),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK5_skl)))),succ(X0),succ(succ(sK5_skl))))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK5_skl)))),succ(X0),succ(succ(sK5_skl))),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK5_skl)))) = sK3_skl(sK11_skl(succ(X0),succ(succ(sK5_skl))))
| sP0_prd(sK10_skl(succ(X0),succ(succ(sK5_skl))),sK9_skl(succ(X0),succ(succ(sK5_skl))),sK8_skl(succ(X0),succ(succ(sK5_skl))),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f2047,plain,
( ~ sQ93_spl
| sQ204_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f1984,f2005,f2044,f956]) ).
fof(f2048,definition,
! [X0] :
( sQ205_spl
<=> ( sK8_skl(X0,succ(succ(sK5_skl))) = sK9_skl(X0,succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK5_skl)))),X0,succ(succ(sK5_skl)))
| sK8_skl(X0,succ(succ(sK5_skl))) = sK9_skl(X0,succ(succ(sK5_skl)))
| sK3_skl(sK11_skl(X0,succ(succ(sK5_skl)))) = sK3_skl(sK11_skl(X0,succ(succ(sK5_skl))))
| sK2_skl(sK11_skl(X0,succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK5_skl)))),X0,succ(succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f2051,plain,
( ~ sQ93_spl
| ~ sQ3_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f1985,f2048,f101,f956]) ).
fof(f2052,definition,
! [X0] :
( sQ206_spl
<=> ( sK8_skl(X0,succ(succ(sK5_skl))) = sK9_skl(X0,succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK5_skl)))),X0,succ(succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(succ(sK5_skl)))),X0,succ(succ(sK5_skl))))
| sK2_skl(sK11_skl(X0,succ(succ(sK5_skl)))) = sK3_skl(sK11_skl(X0,succ(succ(sK5_skl))))
| sP0_prd(sK10_skl(X0,succ(succ(sK5_skl))),sK9_skl(X0,succ(succ(sK5_skl))),sK8_skl(X0,succ(succ(sK5_skl))),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f2055,plain,
( ~ sQ93_spl
| sQ206_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f1986,f2005,f2052,f956]) ).
fof(f2056,definition,
! [X0] :
( sQ207_spl
<=> ( sK8_skl(X0,succ(succ(sK5_skl))) = sK9_skl(X0,succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK5_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK5_skl)))),X0,succ(succ(sK5_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK5_skl)))) = sK3_skl(sK11_skl(X0,succ(succ(sK5_skl))))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(succ(sK5_skl)))),X0,succ(succ(sK5_skl))),X0)
| sP0_prd(sK10_skl(X0,succ(succ(sK5_skl))),sK9_skl(X0,succ(succ(sK5_skl))),sK8_skl(X0,succ(succ(sK5_skl))),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f2059,plain,
( ~ sQ93_spl
| sQ207_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f1987,f2005,f2056,f956]) ).
fof(f2061,plain,
( sQ194_spl
| ~ ordinal(succ(sK5_skl)) ),
inference(resolution,[status(thm)],[f2007,f57]) ).
fof(f2063,plain,
( sQ194_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2061,f956,f2005]) ).
fof(f2081,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl))),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))))
| ~ ordinal(succ(succ(sK4_skl))) ),
inference(paramodulation,[status(thm)],[f1047,f1518]) ).
fof(f2082,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl))),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))))
| ~ ordinal(succ(succ(sK4_skl))) ),
inference(paramodulation,[status(thm)],[f1047,f1468]) ).
fof(f2083,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl))),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))))
| ~ ordinal(succ(succ(sK4_skl))) ),
inference(paramodulation,[status(thm)],[f1047,f1422]) ).
fof(f2084,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl))),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))))
| ~ ordinal(succ(succ(sK4_skl))) ),
inference(paramodulation,[status(thm)],[f1047,f1376]) ).
fof(f2085,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))))
| ~ ordinal(succ(succ(sK4_skl))) ),
inference(paramodulation,[status(thm)],[f1047,f1004]) ).
fof(f2086,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))))
| ~ ordinal(succ(succ(sK4_skl))) ),
inference(paramodulation,[status(thm)],[f1047,f1003]) ).
fof(f2087,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))))
| ~ ordinal(succ(succ(sK4_skl))) ),
inference(paramodulation,[status(thm)],[f1047,f996]) ).
fof(f2088,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))))
| ~ ordinal(succ(succ(sK4_skl))) ),
inference(paramodulation,[status(thm)],[f1047,f995]) ).
fof(f2089,plain,
! [X0] :
( ~ sQ98_spl
| sK8_skl(succ(X0),succ(succ(sK4_skl))) = sK9_skl(succ(X0),succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK4_skl)))),succ(X0),succ(succ(sK4_skl)))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(succ(sK4_skl)))),succ(X0),succ(succ(sK4_skl))))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK4_skl)))),succ(X0),succ(succ(sK4_skl))),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK4_skl)))) = sK3_skl(sK11_skl(succ(X0),succ(succ(sK4_skl))))
| sP0_prd(sK10_skl(succ(X0),succ(succ(sK4_skl))),sK9_skl(succ(X0),succ(succ(sK4_skl))),sK8_skl(succ(X0),succ(succ(sK4_skl))),succ(X0))
| ~ ordinal(succ(succ(sK4_skl))) ),
inference(paramodulation,[status(thm)],[f1047,f324]) ).
fof(f2090,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK8_skl(succ(X0),succ(succ(sK4_skl))) = sK9_skl(succ(X0),succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK4_skl)))),succ(X0),succ(succ(sK4_skl)))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(succ(sK4_skl)))),succ(X0),succ(succ(sK4_skl))),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK4_skl)))),succ(X0),succ(succ(sK4_skl))))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK4_skl)))),succ(X0),succ(succ(sK4_skl))),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK4_skl)))) = sK3_skl(sK11_skl(succ(X0),succ(succ(sK4_skl))))
| sP0_prd(sK10_skl(succ(X0),succ(succ(sK4_skl))),sK9_skl(succ(X0),succ(succ(sK4_skl))),sK8_skl(succ(X0),succ(succ(sK4_skl))),succ(X0))
| ~ ordinal(succ(succ(sK4_skl))) ),
inference(paramodulation,[status(thm)],[f1047,f142]) ).
fof(f2091,plain,
! [X0] :
( ~ sQ98_spl
| sK8_skl(X0,succ(succ(sK4_skl))) = sK9_skl(X0,succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK4_skl)))),X0,succ(succ(sK4_skl)))
| ~ ordinal(sK4_skl)
| sK8_skl(X0,succ(succ(sK4_skl))) = sK9_skl(X0,succ(succ(sK4_skl)))
| sK3_skl(sK11_skl(X0,succ(succ(sK4_skl)))) = sK3_skl(sK11_skl(X0,succ(succ(sK4_skl))))
| sK2_skl(sK11_skl(X0,succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK4_skl)))),X0,succ(succ(sK4_skl))) ),
inference(paramodulation,[status(thm)],[f1047,f582]) ).
fof(f2092,plain,
! [X0] :
( ~ sQ98_spl
| sK8_skl(X0,succ(succ(sK4_skl))) = sK9_skl(X0,succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK4_skl)))),X0,succ(succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(succ(sK4_skl)))),X0,succ(succ(sK4_skl))))
| sK2_skl(sK11_skl(X0,succ(succ(sK4_skl)))) = sK3_skl(sK11_skl(X0,succ(succ(sK4_skl))))
| sP0_prd(sK10_skl(X0,succ(succ(sK4_skl))),sK9_skl(X0,succ(succ(sK4_skl))),sK8_skl(X0,succ(succ(sK4_skl))),X0)
| ~ ordinal(succ(succ(sK4_skl))) ),
inference(paramodulation,[status(thm)],[f1047,f146]) ).
fof(f2093,plain,
! [X0] :
( ~ sQ98_spl
| sK8_skl(X0,succ(succ(sK4_skl))) = sK9_skl(X0,succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK4_skl)))),X0,succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK4_skl)))) = sK3_skl(sK11_skl(X0,succ(succ(sK4_skl))))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(succ(sK4_skl)))),X0,succ(succ(sK4_skl))),X0)
| sP0_prd(sK10_skl(X0,succ(succ(sK4_skl))),sK9_skl(X0,succ(succ(sK4_skl))),sK8_skl(X0,succ(succ(sK4_skl))),X0)
| ~ ordinal(succ(succ(sK4_skl))) ),
inference(paramodulation,[status(thm)],[f1047,f128]) ).
fof(f2111,definition,
( sQ208_spl
<=> ordinal(succ(succ(sK4_skl))) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f2113,plain,
( sQ208_spl
| ~ ordinal(succ(succ(sK4_skl))) ),
inference(component_clause,[status(thm)],[f2111]) ).
fof(f2114,definition,
! [X0,X1] :
( sQ209_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl))),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f2117,plain,
( ~ sQ98_spl
| sQ209_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f2081,f2111,f2114,f1020]) ).
fof(f2118,definition,
! [X0,X1] :
( sQ210_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl))),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f2121,plain,
( ~ sQ98_spl
| sQ210_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f2082,f2111,f2118,f1020]) ).
fof(f2122,definition,
! [X0,X1] :
( sQ211_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl))),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f2125,plain,
( ~ sQ98_spl
| sQ211_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f2083,f2111,f2122,f1020]) ).
fof(f2126,definition,
! [X0,X1] :
( sQ212_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl))),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f2129,plain,
( ~ sQ98_spl
| sQ212_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f2084,f2111,f2126,f1020]) ).
fof(f2130,definition,
! [X0,X1] :
( sQ213_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f2133,plain,
( ~ sQ98_spl
| sQ213_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f2085,f2111,f2130,f1020]) ).
fof(f2134,definition,
! [X0,X1] :
( sQ214_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f2137,plain,
( ~ sQ98_spl
| sQ214_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f2086,f2111,f2134,f1020]) ).
fof(f2138,definition,
! [X0,X1] :
( sQ215_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f2141,plain,
( ~ sQ98_spl
| sQ215_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f2087,f2111,f2138,f1020]) ).
fof(f2142,definition,
! [X0,X1] :
( sQ216_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK4_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))),sK11_skl(X0,X1),succ(succ(sK4_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK4_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f2145,plain,
( ~ sQ98_spl
| sQ216_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f2088,f2111,f2142,f1020]) ).
fof(f2146,definition,
! [X0] :
( sQ217_spl
<=> ( sK8_skl(succ(X0),succ(succ(sK4_skl))) = sK9_skl(succ(X0),succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK4_skl)))),succ(X0),succ(succ(sK4_skl)))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(succ(sK4_skl)))),succ(X0),succ(succ(sK4_skl))))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK4_skl)))),succ(X0),succ(succ(sK4_skl))),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK4_skl)))) = sK3_skl(sK11_skl(succ(X0),succ(succ(sK4_skl))))
| sP0_prd(sK10_skl(succ(X0),succ(succ(sK4_skl))),sK9_skl(succ(X0),succ(succ(sK4_skl))),sK8_skl(succ(X0),succ(succ(sK4_skl))),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f2149,plain,
( ~ sQ98_spl
| sQ217_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f2089,f2111,f2146,f1020]) ).
fof(f2150,definition,
! [X0,X1] :
( sQ218_spl
<=> ( sK8_skl(succ(X0),succ(succ(sK4_skl))) = sK9_skl(succ(X0),succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK4_skl)))),succ(X0),succ(succ(sK4_skl)))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(succ(sK4_skl)))),succ(X0),succ(succ(sK4_skl))),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK4_skl)))),succ(X0),succ(succ(sK4_skl))))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK4_skl)))),succ(X0),succ(succ(sK4_skl))),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK4_skl)))) = sK3_skl(sK11_skl(succ(X0),succ(succ(sK4_skl))))
| sP0_prd(sK10_skl(succ(X0),succ(succ(sK4_skl))),sK9_skl(succ(X0),succ(succ(sK4_skl))),sK8_skl(succ(X0),succ(succ(sK4_skl))),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f2153,plain,
( ~ sQ98_spl
| sQ218_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f2090,f2111,f2150,f1020]) ).
fof(f2154,definition,
! [X0] :
( sQ219_spl
<=> ( sK8_skl(X0,succ(succ(sK4_skl))) = sK9_skl(X0,succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK4_skl)))),X0,succ(succ(sK4_skl)))
| sK8_skl(X0,succ(succ(sK4_skl))) = sK9_skl(X0,succ(succ(sK4_skl)))
| sK3_skl(sK11_skl(X0,succ(succ(sK4_skl)))) = sK3_skl(sK11_skl(X0,succ(succ(sK4_skl))))
| sK2_skl(sK11_skl(X0,succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK4_skl)))),X0,succ(succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f2157,plain,
( ~ sQ98_spl
| ~ sQ1_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f2091,f2154,f93,f1020]) ).
fof(f2158,definition,
! [X0] :
( sQ220_spl
<=> ( sK8_skl(X0,succ(succ(sK4_skl))) = sK9_skl(X0,succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK4_skl)))),X0,succ(succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(succ(sK4_skl)))),X0,succ(succ(sK4_skl))))
| sK2_skl(sK11_skl(X0,succ(succ(sK4_skl)))) = sK3_skl(sK11_skl(X0,succ(succ(sK4_skl))))
| sP0_prd(sK10_skl(X0,succ(succ(sK4_skl))),sK9_skl(X0,succ(succ(sK4_skl))),sK8_skl(X0,succ(succ(sK4_skl))),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f2161,plain,
( ~ sQ98_spl
| sQ220_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f2092,f2111,f2158,f1020]) ).
fof(f2162,definition,
! [X0] :
( sQ221_spl
<=> ( sK8_skl(X0,succ(succ(sK4_skl))) = sK9_skl(X0,succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK4_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK4_skl)))),X0,succ(succ(sK4_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK4_skl)))) = sK3_skl(sK11_skl(X0,succ(succ(sK4_skl))))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(succ(sK4_skl)))),X0,succ(succ(sK4_skl))),X0)
| sP0_prd(sK10_skl(X0,succ(succ(sK4_skl))),sK9_skl(X0,succ(succ(sK4_skl))),sK8_skl(X0,succ(succ(sK4_skl))),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f2165,plain,
( ~ sQ98_spl
| sQ221_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f2093,f2111,f2162,f1020]) ).
fof(f2167,plain,
( sQ208_spl
| ~ ordinal(succ(sK4_skl)) ),
inference(resolution,[status(thm)],[f2113,f57]) ).
fof(f2169,plain,
( sQ208_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f2167,f1020,f2111]) ).
fof(f2187,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl))),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))))
| ~ ordinal(succ(succ(sK0_skl))) ),
inference(paramodulation,[status(thm)],[f1094,f1518]) ).
fof(f2188,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl))),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))))
| ~ ordinal(succ(succ(sK0_skl))) ),
inference(paramodulation,[status(thm)],[f1094,f1468]) ).
fof(f2189,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl))),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))))
| ~ ordinal(succ(succ(sK0_skl))) ),
inference(paramodulation,[status(thm)],[f1094,f1422]) ).
fof(f2190,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl))),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))))
| ~ ordinal(succ(succ(sK0_skl))) ),
inference(paramodulation,[status(thm)],[f1094,f1376]) ).
fof(f2191,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))))
| ~ ordinal(succ(succ(sK0_skl))) ),
inference(paramodulation,[status(thm)],[f1094,f1004]) ).
fof(f2192,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))))
| ~ ordinal(succ(succ(sK0_skl))) ),
inference(paramodulation,[status(thm)],[f1094,f1003]) ).
fof(f2193,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))))
| ~ ordinal(succ(succ(sK0_skl))) ),
inference(paramodulation,[status(thm)],[f1094,f996]) ).
fof(f2194,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))))
| ~ ordinal(succ(succ(sK0_skl))) ),
inference(paramodulation,[status(thm)],[f1094,f995]) ).
fof(f2195,plain,
! [X0] :
( ~ sQ103_spl
| sK8_skl(succ(X0),succ(succ(sK0_skl))) = sK9_skl(succ(X0),succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK0_skl)))),succ(X0),succ(succ(sK0_skl)))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(succ(sK0_skl)))),succ(X0),succ(succ(sK0_skl))))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK0_skl)))),succ(X0),succ(succ(sK0_skl))),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK0_skl)))) = sK3_skl(sK11_skl(succ(X0),succ(succ(sK0_skl))))
| sP0_prd(sK10_skl(succ(X0),succ(succ(sK0_skl))),sK9_skl(succ(X0),succ(succ(sK0_skl))),sK8_skl(succ(X0),succ(succ(sK0_skl))),succ(X0))
| ~ ordinal(succ(succ(sK0_skl))) ),
inference(paramodulation,[status(thm)],[f1094,f324]) ).
fof(f2196,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK8_skl(succ(X0),succ(succ(sK0_skl))) = sK9_skl(succ(X0),succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK0_skl)))),succ(X0),succ(succ(sK0_skl)))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(succ(sK0_skl)))),succ(X0),succ(succ(sK0_skl))),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK0_skl)))),succ(X0),succ(succ(sK0_skl))))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK0_skl)))),succ(X0),succ(succ(sK0_skl))),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK0_skl)))) = sK3_skl(sK11_skl(succ(X0),succ(succ(sK0_skl))))
| sP0_prd(sK10_skl(succ(X0),succ(succ(sK0_skl))),sK9_skl(succ(X0),succ(succ(sK0_skl))),sK8_skl(succ(X0),succ(succ(sK0_skl))),succ(X0))
| ~ ordinal(succ(succ(sK0_skl))) ),
inference(paramodulation,[status(thm)],[f1094,f142]) ).
fof(f2197,plain,
! [X0] :
( ~ sQ103_spl
| sK8_skl(X0,succ(succ(sK0_skl))) = sK9_skl(X0,succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK0_skl)))),X0,succ(succ(sK0_skl)))
| ~ ordinal(sK0_skl)
| sK8_skl(X0,succ(succ(sK0_skl))) = sK9_skl(X0,succ(succ(sK0_skl)))
| sK3_skl(sK11_skl(X0,succ(succ(sK0_skl)))) = sK3_skl(sK11_skl(X0,succ(succ(sK0_skl))))
| sK2_skl(sK11_skl(X0,succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK0_skl)))),X0,succ(succ(sK0_skl))) ),
inference(paramodulation,[status(thm)],[f1094,f582]) ).
fof(f2198,plain,
! [X0] :
( ~ sQ103_spl
| sK8_skl(X0,succ(succ(sK0_skl))) = sK9_skl(X0,succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK0_skl)))),X0,succ(succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(succ(sK0_skl)))),X0,succ(succ(sK0_skl))))
| sK2_skl(sK11_skl(X0,succ(succ(sK0_skl)))) = sK3_skl(sK11_skl(X0,succ(succ(sK0_skl))))
| sP0_prd(sK10_skl(X0,succ(succ(sK0_skl))),sK9_skl(X0,succ(succ(sK0_skl))),sK8_skl(X0,succ(succ(sK0_skl))),X0)
| ~ ordinal(succ(succ(sK0_skl))) ),
inference(paramodulation,[status(thm)],[f1094,f146]) ).
fof(f2199,plain,
! [X0] :
( ~ sQ103_spl
| sK8_skl(X0,succ(succ(sK0_skl))) = sK9_skl(X0,succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK0_skl)))),X0,succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK0_skl)))) = sK3_skl(sK11_skl(X0,succ(succ(sK0_skl))))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(succ(sK0_skl)))),X0,succ(succ(sK0_skl))),X0)
| sP0_prd(sK10_skl(X0,succ(succ(sK0_skl))),sK9_skl(X0,succ(succ(sK0_skl))),sK8_skl(X0,succ(succ(sK0_skl))),X0)
| ~ ordinal(succ(succ(sK0_skl))) ),
inference(paramodulation,[status(thm)],[f1094,f128]) ).
fof(f2217,definition,
( sQ222_spl
<=> ordinal(succ(succ(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f2219,plain,
( sQ222_spl
| ~ ordinal(succ(succ(sK0_skl))) ),
inference(component_clause,[status(thm)],[f2217]) ).
fof(f2220,definition,
! [X0,X1] :
( sQ223_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl))),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f2223,plain,
( ~ sQ103_spl
| sQ223_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f2187,f2217,f2220,f1068]) ).
fof(f2224,definition,
! [X0,X1] :
( sQ224_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl))),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f2227,plain,
( ~ sQ103_spl
| sQ224_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f2188,f2217,f2224,f1068]) ).
fof(f2228,definition,
! [X0,X1] :
( sQ225_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl))),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f2231,plain,
( ~ sQ103_spl
| sQ225_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f2189,f2217,f2228,f1068]) ).
fof(f2232,definition,
! [X0,X1] :
( sQ226_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl))),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f2235,plain,
( ~ sQ103_spl
| sQ226_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f2190,f2217,f2232,f1068]) ).
fof(f2236,definition,
! [X0,X1] :
( sQ227_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f2239,plain,
( ~ sQ103_spl
| sQ227_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f2191,f2217,f2236,f1068]) ).
fof(f2240,definition,
! [X0,X1] :
( sQ228_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f2243,plain,
( ~ sQ103_spl
| sQ228_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f2192,f2217,f2240,f1068]) ).
fof(f2244,definition,
! [X0,X1] :
( sQ229_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f2247,plain,
( ~ sQ103_spl
| sQ229_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f2193,f2217,f2244,f1068]) ).
fof(f2248,definition,
! [X0,X1] :
( sQ230_spl
<=> ( sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK9_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(succ(sK0_skl))) = sK10_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))),sK11_skl(X0,X1),succ(succ(sK0_skl))),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(succ(sK0_skl)))) ) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f2251,plain,
( ~ sQ103_spl
| sQ230_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f2194,f2217,f2248,f1068]) ).
fof(f2252,definition,
! [X0] :
( sQ231_spl
<=> ( sK8_skl(succ(X0),succ(succ(sK0_skl))) = sK9_skl(succ(X0),succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK0_skl)))),succ(X0),succ(succ(sK0_skl)))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(succ(sK0_skl)))),succ(X0),succ(succ(sK0_skl))))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK0_skl)))),succ(X0),succ(succ(sK0_skl))),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK0_skl)))) = sK3_skl(sK11_skl(succ(X0),succ(succ(sK0_skl))))
| sP0_prd(sK10_skl(succ(X0),succ(succ(sK0_skl))),sK9_skl(succ(X0),succ(succ(sK0_skl))),sK8_skl(succ(X0),succ(succ(sK0_skl))),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f2255,plain,
( ~ sQ103_spl
| sQ231_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f2195,f2217,f2252,f1068]) ).
fof(f2256,definition,
! [X0,X1] :
( sQ232_spl
<=> ( sK8_skl(succ(X0),succ(succ(sK0_skl))) = sK9_skl(succ(X0),succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK0_skl)))),succ(X0),succ(succ(sK0_skl)))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(succ(sK0_skl)))),succ(X0),succ(succ(sK0_skl))),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK0_skl)))),succ(X0),succ(succ(sK0_skl))))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(succ(sK0_skl)))),succ(X0),succ(succ(sK0_skl))),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(succ(sK0_skl)))) = sK3_skl(sK11_skl(succ(X0),succ(succ(sK0_skl))))
| sP0_prd(sK10_skl(succ(X0),succ(succ(sK0_skl))),sK9_skl(succ(X0),succ(succ(sK0_skl))),sK8_skl(succ(X0),succ(succ(sK0_skl))),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f2259,plain,
( ~ sQ103_spl
| sQ232_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f2196,f2217,f2256,f1068]) ).
fof(f2260,definition,
! [X0] :
( sQ233_spl
<=> ( sK8_skl(X0,succ(succ(sK0_skl))) = sK9_skl(X0,succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK0_skl)))),X0,succ(succ(sK0_skl)))
| sK8_skl(X0,succ(succ(sK0_skl))) = sK9_skl(X0,succ(succ(sK0_skl)))
| sK3_skl(sK11_skl(X0,succ(succ(sK0_skl)))) = sK3_skl(sK11_skl(X0,succ(succ(sK0_skl))))
| sK2_skl(sK11_skl(X0,succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK0_skl)))),X0,succ(succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f2263,plain,
( ~ sQ103_spl
| ~ sQ6_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f2197,f2260,f133,f1068]) ).
fof(f2264,definition,
! [X0] :
( sQ234_spl
<=> ( sK8_skl(X0,succ(succ(sK0_skl))) = sK9_skl(X0,succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK0_skl)))),X0,succ(succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(succ(sK0_skl)))),X0,succ(succ(sK0_skl))))
| sK2_skl(sK11_skl(X0,succ(succ(sK0_skl)))) = sK3_skl(sK11_skl(X0,succ(succ(sK0_skl))))
| sP0_prd(sK10_skl(X0,succ(succ(sK0_skl))),sK9_skl(X0,succ(succ(sK0_skl))),sK8_skl(X0,succ(succ(sK0_skl))),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f2267,plain,
( ~ sQ103_spl
| sQ234_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f2198,f2217,f2264,f1068]) ).
fof(f2268,definition,
! [X0] :
( sQ235_spl
<=> ( sK8_skl(X0,succ(succ(sK0_skl))) = sK9_skl(X0,succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(succ(sK0_skl)))),X0,succ(succ(sK0_skl)))
| sK2_skl(sK11_skl(X0,succ(succ(sK0_skl)))) = sK3_skl(sK11_skl(X0,succ(succ(sK0_skl))))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(succ(sK0_skl)))),X0,succ(succ(sK0_skl))),X0)
| sP0_prd(sK10_skl(X0,succ(succ(sK0_skl))),sK9_skl(X0,succ(succ(sK0_skl))),sK8_skl(X0,succ(succ(sK0_skl))),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f2271,plain,
( ~ sQ103_spl
| sQ235_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f2199,f2217,f2268,f1068]) ).
fof(f2273,plain,
( sQ222_spl
| ~ ordinal(succ(sK0_skl)) ),
inference(resolution,[status(thm)],[f2219,f57]) ).
fof(f2275,plain,
( sQ222_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f2273,f1068,f2217]) ).
fof(f2365,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ in(sK3_skl(sK11_skl(X0,succ(sK6_skl))),X1)
| ~ ordinal(sK3_skl(sK11_skl(X0,succ(sK6_skl))))
| in(sK3_skl(sK11_skl(X0,succ(sK6_skl))),sK11_skl(X1,sK0_skl))
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| ~ ordinal(sK0_skl)
| sK8_skl(X0,succ(sK6_skl)) = sK9_skl(X0,succ(sK6_skl))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl))
| in(sK2_skl(sK11_skl(X0,succ(sK6_skl))),sK11_skl(X0,succ(sK6_skl))) ),
inference(resolution,[status(thm)],[f905,f84]) ).
fof(f2367,definition,
! [X0,X1] :
( sQ236_spl
<=> ( ~ in(sK3_skl(sK11_skl(X0,succ(sK6_skl))),X1)
| ~ ordinal(sK3_skl(sK11_skl(X0,succ(sK6_skl))))
| in(sK3_skl(sK11_skl(X0,succ(sK6_skl))),sK11_skl(X1,sK0_skl))
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| sK8_skl(X0,succ(sK6_skl)) = sK9_skl(X0,succ(sK6_skl))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl))
| in(sK2_skl(sK11_skl(X0,succ(sK6_skl))),sK11_skl(X0,succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f2370,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f2365,f2367,f133,f116]) ).
fof(f2395,plain,
! [X0,X1] :
( ~ in(sK3_skl(sK11_skl(X0,succ(sK5_skl))),X1)
| ~ ordinal(sK3_skl(sK11_skl(X0,succ(sK5_skl))))
| in(sK3_skl(sK11_skl(X0,succ(sK5_skl))),sK11_skl(X1,sK0_skl))
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| ~ ordinal(sK0_skl)
| sK8_skl(X0,succ(sK5_skl)) = sK9_skl(X0,succ(sK5_skl))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl))
| in(sK2_skl(sK11_skl(X0,succ(sK5_skl))),sK11_skl(X0,succ(sK5_skl))) ),
inference(resolution,[status(thm)],[f953,f84]) ).
fof(f2397,definition,
! [X0,X1] :
( sQ237_spl
<=> ( ~ in(sK3_skl(sK11_skl(X0,succ(sK5_skl))),X1)
| ~ ordinal(sK3_skl(sK11_skl(X0,succ(sK5_skl))))
| in(sK3_skl(sK11_skl(X0,succ(sK5_skl))),sK11_skl(X1,sK0_skl))
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| sK8_skl(X0,succ(sK5_skl)) = sK9_skl(X0,succ(sK5_skl))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl))
| in(sK2_skl(sK11_skl(X0,succ(sK5_skl))),sK11_skl(X0,succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f2400,plain,
( ~ sQ6_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f2395,f2397,f133]) ).
fof(f2402,plain,
! [X0,X1] :
( ~ in(sK3_skl(sK11_skl(X0,succ(sK4_skl))),X1)
| ~ ordinal(sK3_skl(sK11_skl(X0,succ(sK4_skl))))
| in(sK3_skl(sK11_skl(X0,succ(sK4_skl))),sK11_skl(X1,sK0_skl))
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| ~ ordinal(sK0_skl)
| sK8_skl(X0,succ(sK4_skl)) = sK9_skl(X0,succ(sK4_skl))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl))
| in(sK2_skl(sK11_skl(X0,succ(sK4_skl))),sK11_skl(X0,succ(sK4_skl))) ),
inference(resolution,[status(thm)],[f1017,f84]) ).
fof(f2404,definition,
! [X0,X1] :
( sQ238_spl
<=> ( ~ in(sK3_skl(sK11_skl(X0,succ(sK4_skl))),X1)
| ~ ordinal(sK3_skl(sK11_skl(X0,succ(sK4_skl))))
| in(sK3_skl(sK11_skl(X0,succ(sK4_skl))),sK11_skl(X1,sK0_skl))
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| sK8_skl(X0,succ(sK4_skl)) = sK9_skl(X0,succ(sK4_skl))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl))
| in(sK2_skl(sK11_skl(X0,succ(sK4_skl))),sK11_skl(X0,succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f2407,plain,
( ~ sQ6_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f2402,f2404,f133]) ).
fof(f2409,plain,
! [X0,X1] :
( ~ in(sK3_skl(sK11_skl(X0,succ(sK0_skl))),X1)
| ~ ordinal(sK3_skl(sK11_skl(X0,succ(sK0_skl))))
| in(sK3_skl(sK11_skl(X0,succ(sK0_skl))),sK11_skl(X1,sK0_skl))
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| ~ ordinal(sK0_skl)
| sK8_skl(X0,succ(sK0_skl)) = sK9_skl(X0,succ(sK0_skl))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl))
| in(sK2_skl(sK11_skl(X0,succ(sK0_skl))),sK11_skl(X0,succ(sK0_skl))) ),
inference(resolution,[status(thm)],[f1065,f84]) ).
fof(f2411,definition,
! [X0,X1] :
( sQ239_spl
<=> ( ~ in(sK3_skl(sK11_skl(X0,succ(sK0_skl))),X1)
| ~ ordinal(sK3_skl(sK11_skl(X0,succ(sK0_skl))))
| in(sK3_skl(sK11_skl(X0,succ(sK0_skl))),sK11_skl(X1,sK0_skl))
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| sK8_skl(X0,succ(sK0_skl)) = sK9_skl(X0,succ(sK0_skl))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl))
| in(sK2_skl(sK11_skl(X0,succ(sK0_skl))),sK11_skl(X0,succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f2414,plain,
( ~ sQ6_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f2409,f2411,f133]) ).
fof(f2417,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f936,f1518]) ).
fof(f2418,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f936,f1468]) ).
fof(f2419,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f936,f1422]) ).
fof(f2420,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f936,f1376]) ).
fof(f2421,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f936,f1004]) ).
fof(f2422,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f936,f1003]) ).
fof(f2423,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f936,f996]) ).
fof(f2424,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f936,f995]) ).
fof(f2425,plain,
! [X0] :
( ~ sQ88_spl
| sK9_skl(succ(X0),succ(sK6_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK6_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f936,f324]) ).
fof(f2426,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK9_skl(succ(X0),succ(sK6_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK6_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f936,f142]) ).
fof(f2429,plain,
! [X0] :
( ~ sQ88_spl
| sK9_skl(X0,succ(sK6_skl)) = sK14_skl(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK3_skl(sK11_skl(X0,succ(sK6_skl)))
| sP0_prd(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f936,f146]) ).
fof(f2430,plain,
! [X0] :
( ~ sQ88_spl
| sK9_skl(X0,succ(sK6_skl)) = sK14_skl(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK3_skl(sK11_skl(X0,succ(sK6_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f936,f128]) ).
fof(f2452,definition,
! [X0,X1] :
( sQ240_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f2455,plain,
( sQ240_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2417,f908,f2452]) ).
fof(f2456,definition,
! [X0,X1] :
( sQ241_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f2459,plain,
( sQ241_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2418,f908,f2456]) ).
fof(f2460,definition,
! [X0,X1] :
( sQ242_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f2463,plain,
( sQ242_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2419,f908,f2460]) ).
fof(f2464,definition,
! [X0,X1] :
( sQ243_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f2467,plain,
( sQ243_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2420,f908,f2464]) ).
fof(f2468,definition,
! [X0,X1] :
( sQ244_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f2471,plain,
( sQ244_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2421,f908,f2468]) ).
fof(f2472,definition,
! [X0,X1] :
( sQ245_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f2475,plain,
( sQ245_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2422,f908,f2472]) ).
fof(f2476,definition,
! [X0,X1] :
( sQ246_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f2479,plain,
( sQ246_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2423,f908,f2476]) ).
fof(f2480,definition,
! [X0,X1] :
( sQ247_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f2483,plain,
( sQ247_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2424,f908,f2480]) ).
fof(f2484,definition,
! [X0] :
( sQ248_spl
<=> ( sK9_skl(succ(X0),succ(sK6_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK6_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f2487,plain,
( sQ248_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2425,f908,f2484]) ).
fof(f2488,definition,
! [X0,X1] :
( sQ249_spl
<=> ( sK9_skl(succ(X0),succ(sK6_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK6_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f2491,plain,
( sQ249_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2426,f908,f2488]) ).
fof(f2493,definition,
! [X0] :
( sQ250_spl
<=> ( sK9_skl(X0,succ(sK6_skl)) = sK14_skl(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK3_skl(sK11_skl(X0,succ(sK6_skl)))
| sP0_prd(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f2496,plain,
( sQ250_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2429,f908,f2493]) ).
fof(f2497,definition,
! [X0] :
( sQ251_spl
<=> ( sK9_skl(X0,succ(sK6_skl)) = sK14_skl(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK3_skl(sK11_skl(X0,succ(sK6_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f2500,plain,
( sQ251_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2430,f908,f2497]) ).
fof(f2504,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f937,f1518]) ).
fof(f2505,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f937,f1468]) ).
fof(f2506,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f937,f1422]) ).
fof(f2507,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f937,f1376]) ).
fof(f2508,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f937,f1004]) ).
fof(f2509,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f937,f1003]) ).
fof(f2510,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f937,f996]) ).
fof(f2511,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f937,f995]) ).
fof(f2512,plain,
! [X0] :
( ~ sQ88_spl
| sK10_skl(succ(X0),succ(sK6_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK6_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f937,f324]) ).
fof(f2513,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK10_skl(succ(X0),succ(sK6_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK6_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f937,f142]) ).
fof(f2517,plain,
! [X0] :
( ~ sQ88_spl
| sK10_skl(X0,succ(sK6_skl)) = sK15_skl(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK3_skl(sK11_skl(X0,succ(sK6_skl)))
| sP0_prd(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f937,f146]) ).
fof(f2518,plain,
! [X0] :
( ~ sQ88_spl
| sK10_skl(X0,succ(sK6_skl)) = sK15_skl(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK3_skl(sK11_skl(X0,succ(sK6_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f937,f128]) ).
fof(f2540,definition,
! [X0,X1] :
( sQ252_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f2543,plain,
( sQ252_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2504,f908,f2540]) ).
fof(f2544,definition,
! [X0,X1] :
( sQ253_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f2547,plain,
( sQ253_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2505,f908,f2544]) ).
fof(f2548,definition,
! [X0,X1] :
( sQ254_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f2551,plain,
( sQ254_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2506,f908,f2548]) ).
fof(f2552,definition,
! [X0,X1] :
( sQ255_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f2555,plain,
( sQ255_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2507,f908,f2552]) ).
fof(f2556,definition,
! [X0,X1] :
( sQ256_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f2559,plain,
( sQ256_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2508,f908,f2556]) ).
fof(f2560,definition,
! [X0,X1] :
( sQ257_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f2563,plain,
( sQ257_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2509,f908,f2560]) ).
fof(f2564,definition,
! [X0,X1] :
( sQ258_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f2567,plain,
( sQ258_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2510,f908,f2564]) ).
fof(f2568,definition,
! [X0,X1] :
( sQ259_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f2571,plain,
( sQ259_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2511,f908,f2568]) ).
fof(f2572,definition,
! [X0] :
( sQ260_spl
<=> ( sK10_skl(succ(X0),succ(sK6_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK6_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f2575,plain,
( sQ260_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2512,f908,f2572]) ).
fof(f2576,definition,
! [X0,X1] :
( sQ261_spl
<=> ( sK10_skl(succ(X0),succ(sK6_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK6_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f2579,plain,
( sQ261_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2513,f908,f2576]) ).
fof(f2581,definition,
! [X0] :
( sQ262_spl
<=> ( sK10_skl(X0,succ(sK6_skl)) = sK15_skl(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK3_skl(sK11_skl(X0,succ(sK6_skl)))
| sP0_prd(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f2584,plain,
( sQ262_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2517,f908,f2581]) ).
fof(f2585,definition,
! [X0] :
( sQ263_spl
<=> ( sK10_skl(X0,succ(sK6_skl)) = sK15_skl(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK3_skl(sK11_skl(X0,succ(sK6_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f2588,plain,
( sQ263_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2518,f908,f2585]) ).
fof(f2626,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f938,f1518]) ).
fof(f2627,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f938,f1468]) ).
fof(f2628,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f938,f1422]) ).
fof(f2629,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f938,f1376]) ).
fof(f2630,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f938,f1004]) ).
fof(f2631,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f938,f1003]) ).
fof(f2632,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f938,f996]) ).
fof(f2633,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f938,f995]) ).
fof(f2634,plain,
! [X0] :
( ~ sQ88_spl
| sK9_skl(succ(X0),succ(sK6_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK6_skl)))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK6_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f938,f324]) ).
fof(f2635,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK9_skl(succ(X0),succ(sK6_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK6_skl)))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK6_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f938,f142]) ).
fof(f2640,plain,
! [X0] :
( ~ sQ88_spl
| sK9_skl(X0,succ(sK6_skl)) = sK14_skl(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)) = sK2_skl(sK11_skl(X0,succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK3_skl(sK11_skl(X0,succ(sK6_skl)))
| sP0_prd(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f938,f146]) ).
fof(f2641,plain,
! [X0] :
( ~ sQ88_spl
| sK9_skl(X0,succ(sK6_skl)) = sK14_skl(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)) = sK2_skl(sK11_skl(X0,succ(sK6_skl)))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK3_skl(sK11_skl(X0,succ(sK6_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f938,f128]) ).
fof(f2663,definition,
! [X0,X1] :
( sQ264_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f2666,plain,
( sQ264_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2626,f908,f2663]) ).
fof(f2667,definition,
! [X0,X1] :
( sQ265_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f2670,plain,
( sQ265_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2627,f908,f2667]) ).
fof(f2671,definition,
! [X0,X1] :
( sQ266_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f2674,plain,
( sQ266_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2628,f908,f2671]) ).
fof(f2675,definition,
! [X0,X1] :
( sQ267_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f2678,plain,
( sQ267_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2629,f908,f2675]) ).
fof(f2679,definition,
! [X0,X1] :
( sQ268_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f2682,plain,
( sQ268_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2630,f908,f2679]) ).
fof(f2683,definition,
! [X0,X1] :
( sQ269_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f2686,plain,
( sQ269_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2631,f908,f2683]) ).
fof(f2687,definition,
! [X0,X1] :
( sQ270_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f2690,plain,
( sQ270_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2632,f908,f2687]) ).
fof(f2691,definition,
! [X0,X1] :
( sQ271_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f2694,plain,
( sQ271_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2633,f908,f2691]) ).
fof(f2695,definition,
! [X0] :
( sQ272_spl
<=> ( sK9_skl(succ(X0),succ(sK6_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK6_skl)))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK6_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f2698,plain,
( sQ272_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2634,f908,f2695]) ).
fof(f2699,definition,
! [X0,X1] :
( sQ273_spl
<=> ( sK9_skl(succ(X0),succ(sK6_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK6_skl)))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK6_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f2702,plain,
( sQ273_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2635,f908,f2699]) ).
fof(f2703,definition,
! [X0] :
( sQ274_spl
<=> ( sK9_skl(X0,succ(sK6_skl)) = sK14_skl(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)) = sK2_skl(sK11_skl(X0,succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK3_skl(sK11_skl(X0,succ(sK6_skl)))
| sP0_prd(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f2706,plain,
( sQ274_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2640,f908,f2703]) ).
fof(f2707,definition,
! [X0] :
( sQ275_spl
<=> ( sK9_skl(X0,succ(sK6_skl)) = sK14_skl(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)) = sK2_skl(sK11_skl(X0,succ(sK6_skl)))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK3_skl(sK11_skl(X0,succ(sK6_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f2710,plain,
( sQ275_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2641,f908,f2707]) ).
fof(f2716,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f939,f1518]) ).
fof(f2717,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f939,f1468]) ).
fof(f2718,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f939,f1422]) ).
fof(f2719,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f939,f1376]) ).
fof(f2720,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f939,f1004]) ).
fof(f2721,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f939,f1003]) ).
fof(f2722,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f939,f996]) ).
fof(f2723,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f939,f995]) ).
fof(f2724,plain,
! [X0] :
( ~ sQ88_spl
| sK10_skl(succ(X0),succ(sK6_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK6_skl)))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK6_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f939,f324]) ).
fof(f2725,plain,
! [X0,X1] :
( ~ sQ88_spl
| sK10_skl(succ(X0),succ(sK6_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK6_skl)))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK6_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0))
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f939,f142]) ).
fof(f2731,plain,
! [X0] :
( ~ sQ88_spl
| sK10_skl(X0,succ(sK6_skl)) = sK15_skl(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)) = sK2_skl(sK11_skl(X0,succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK3_skl(sK11_skl(X0,succ(sK6_skl)))
| sP0_prd(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f939,f146]) ).
fof(f2732,plain,
! [X0] :
( ~ sQ88_spl
| sK10_skl(X0,succ(sK6_skl)) = sK15_skl(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)) = sK2_skl(sK11_skl(X0,succ(sK6_skl)))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK3_skl(sK11_skl(X0,succ(sK6_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| ~ ordinal(succ(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f939,f128]) ).
fof(f2754,definition,
! [X0,X1] :
( sQ276_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f2757,plain,
( sQ276_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2716,f908,f2754]) ).
fof(f2758,definition,
! [X0,X1] :
( sQ277_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f2761,plain,
( sQ277_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2717,f908,f2758]) ).
fof(f2762,definition,
! [X0,X1] :
( sQ278_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f2765,plain,
( sQ278_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2718,f908,f2762]) ).
fof(f2766,definition,
! [X0,X1] :
( sQ279_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f2769,plain,
( sQ279_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2719,f908,f2766]) ).
fof(f2770,definition,
! [X0,X1] :
( sQ280_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f2773,plain,
( sQ280_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2720,f908,f2770]) ).
fof(f2774,definition,
! [X0,X1] :
( sQ281_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f2777,plain,
( sQ281_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2721,f908,f2774]) ).
fof(f2778,definition,
! [X0,X1] :
( sQ282_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f2781,plain,
( sQ282_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2722,f908,f2778]) ).
fof(f2782,definition,
! [X0,X1] :
( sQ283_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK6_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK6_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))),sK11_skl(X0,X1),succ(sK6_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK6_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f2785,plain,
( sQ283_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2723,f908,f2782]) ).
fof(f2786,definition,
! [X0] :
( sQ284_spl
<=> ( sK10_skl(succ(X0),succ(sK6_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK6_skl)))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK6_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f2789,plain,
( sQ284_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2724,f908,f2786]) ).
fof(f2790,definition,
! [X0,X1] :
( sQ285_spl
<=> ( sK10_skl(succ(X0),succ(sK6_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK6_skl)))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))),succ(X0),succ(sK6_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK6_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK6_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK6_skl)),sK9_skl(succ(X0),succ(sK6_skl)),sK8_skl(succ(X0),succ(sK6_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f2793,plain,
( sQ285_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2725,f908,f2790]) ).
fof(f2794,definition,
! [X0] :
( sQ286_spl
<=> ( sK10_skl(X0,succ(sK6_skl)) = sK15_skl(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)) = sK2_skl(sK11_skl(X0,succ(sK6_skl)))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK3_skl(sK11_skl(X0,succ(sK6_skl)))
| sP0_prd(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f2797,plain,
( sQ286_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2731,f908,f2794]) ).
fof(f2798,definition,
! [X0] :
( sQ287_spl
<=> ( sK10_skl(X0,succ(sK6_skl)) = sK15_skl(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)) = sK2_skl(sK11_skl(X0,succ(sK6_skl)))
| sK2_skl(sK11_skl(X0,succ(sK6_skl))) = sK3_skl(sK11_skl(X0,succ(sK6_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK6_skl))),X0,succ(sK6_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK6_skl)),sK9_skl(X0,succ(sK6_skl)),sK8_skl(X0,succ(sK6_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f2801,plain,
( sQ287_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2732,f908,f2798]) ).
fof(f2804,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f984,f1518]) ).
fof(f2805,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f984,f1468]) ).
fof(f2806,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f984,f1422]) ).
fof(f2807,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f984,f1376]) ).
fof(f2808,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f984,f1004]) ).
fof(f2809,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f984,f1003]) ).
fof(f2810,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f984,f996]) ).
fof(f2811,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f984,f995]) ).
fof(f2812,plain,
! [X0] :
( ~ sQ93_spl
| sK9_skl(succ(X0),succ(sK5_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK5_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f984,f324]) ).
fof(f2813,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK9_skl(succ(X0),succ(sK5_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK5_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f984,f142]) ).
fof(f2816,plain,
! [X0] :
( ~ sQ93_spl
| sK9_skl(X0,succ(sK5_skl)) = sK14_skl(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK3_skl(sK11_skl(X0,succ(sK5_skl)))
| sP0_prd(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f984,f146]) ).
fof(f2817,plain,
! [X0] :
( ~ sQ93_spl
| sK9_skl(X0,succ(sK5_skl)) = sK14_skl(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK3_skl(sK11_skl(X0,succ(sK5_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f984,f128]) ).
fof(f2839,definition,
! [X0,X1] :
( sQ288_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f2842,plain,
( sQ288_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2804,f956,f2839]) ).
fof(f2843,definition,
! [X0,X1] :
( sQ289_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f2846,plain,
( sQ289_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2805,f956,f2843]) ).
fof(f2847,definition,
! [X0,X1] :
( sQ290_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f2850,plain,
( sQ290_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2806,f956,f2847]) ).
fof(f2851,definition,
! [X0,X1] :
( sQ291_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f2854,plain,
( sQ291_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2807,f956,f2851]) ).
fof(f2855,definition,
! [X0,X1] :
( sQ292_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f2858,plain,
( sQ292_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2808,f956,f2855]) ).
fof(f2859,definition,
! [X0,X1] :
( sQ293_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f2862,plain,
( sQ293_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2809,f956,f2859]) ).
fof(f2863,definition,
! [X0,X1] :
( sQ294_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f2866,plain,
( sQ294_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2810,f956,f2863]) ).
fof(f2867,definition,
! [X0,X1] :
( sQ295_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f2870,plain,
( sQ295_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2811,f956,f2867]) ).
fof(f2871,definition,
! [X0] :
( sQ296_spl
<=> ( sK9_skl(succ(X0),succ(sK5_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK5_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f2874,plain,
( sQ296_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2812,f956,f2871]) ).
fof(f2875,definition,
! [X0,X1] :
( sQ297_spl
<=> ( sK9_skl(succ(X0),succ(sK5_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK5_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f2878,plain,
( sQ297_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2813,f956,f2875]) ).
fof(f2880,definition,
! [X0] :
( sQ298_spl
<=> ( sK9_skl(X0,succ(sK5_skl)) = sK14_skl(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK3_skl(sK11_skl(X0,succ(sK5_skl)))
| sP0_prd(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f2883,plain,
( sQ298_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2816,f956,f2880]) ).
fof(f2884,definition,
! [X0] :
( sQ299_spl
<=> ( sK9_skl(X0,succ(sK5_skl)) = sK14_skl(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK3_skl(sK11_skl(X0,succ(sK5_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f2887,plain,
( sQ299_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2817,f956,f2884]) ).
fof(f2891,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f985,f1518]) ).
fof(f2892,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f985,f1468]) ).
fof(f2893,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f985,f1422]) ).
fof(f2894,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f985,f1376]) ).
fof(f2895,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f985,f1004]) ).
fof(f2896,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f985,f1003]) ).
fof(f2897,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f985,f996]) ).
fof(f2898,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f985,f995]) ).
fof(f2899,plain,
! [X0] :
( ~ sQ93_spl
| sK10_skl(succ(X0),succ(sK5_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK5_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f985,f324]) ).
fof(f2900,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK10_skl(succ(X0),succ(sK5_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK5_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f985,f142]) ).
fof(f2904,plain,
! [X0] :
( ~ sQ93_spl
| sK10_skl(X0,succ(sK5_skl)) = sK15_skl(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK3_skl(sK11_skl(X0,succ(sK5_skl)))
| sP0_prd(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f985,f146]) ).
fof(f2905,plain,
! [X0] :
( ~ sQ93_spl
| sK10_skl(X0,succ(sK5_skl)) = sK15_skl(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK3_skl(sK11_skl(X0,succ(sK5_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f985,f128]) ).
fof(f2927,definition,
! [X0,X1] :
( sQ300_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f2930,plain,
( sQ300_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2891,f956,f2927]) ).
fof(f2931,definition,
! [X0,X1] :
( sQ301_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f2934,plain,
( sQ301_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2892,f956,f2931]) ).
fof(f2935,definition,
! [X0,X1] :
( sQ302_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f2938,plain,
( sQ302_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2893,f956,f2935]) ).
fof(f2939,definition,
! [X0,X1] :
( sQ303_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f2942,plain,
( sQ303_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2894,f956,f2939]) ).
fof(f2943,definition,
! [X0,X1] :
( sQ304_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f2946,plain,
( sQ304_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2895,f956,f2943]) ).
fof(f2947,definition,
! [X0,X1] :
( sQ305_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f2950,plain,
( sQ305_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2896,f956,f2947]) ).
fof(f2951,definition,
! [X0,X1] :
( sQ306_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f2954,plain,
( sQ306_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2897,f956,f2951]) ).
fof(f2955,definition,
! [X0,X1] :
( sQ307_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f2958,plain,
( sQ307_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2898,f956,f2955]) ).
fof(f2959,definition,
! [X0] :
( sQ308_spl
<=> ( sK10_skl(succ(X0),succ(sK5_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK5_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f2962,plain,
( sQ308_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2899,f956,f2959]) ).
fof(f2963,definition,
! [X0,X1] :
( sQ309_spl
<=> ( sK10_skl(succ(X0),succ(sK5_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK5_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f2966,plain,
( sQ309_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2900,f956,f2963]) ).
fof(f2968,definition,
! [X0] :
( sQ310_spl
<=> ( sK10_skl(X0,succ(sK5_skl)) = sK15_skl(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK3_skl(sK11_skl(X0,succ(sK5_skl)))
| sP0_prd(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f2971,plain,
( sQ310_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2904,f956,f2968]) ).
fof(f2972,definition,
! [X0] :
( sQ311_spl
<=> ( sK10_skl(X0,succ(sK5_skl)) = sK15_skl(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK3_skl(sK11_skl(X0,succ(sK5_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f2975,plain,
( sQ311_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2905,f956,f2972]) ).
fof(f2980,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f986,f1518]) ).
fof(f2981,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f986,f1468]) ).
fof(f2982,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f986,f1422]) ).
fof(f2983,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f986,f1376]) ).
fof(f2984,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f986,f1004]) ).
fof(f2985,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f986,f1003]) ).
fof(f2986,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f986,f996]) ).
fof(f2987,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f986,f995]) ).
fof(f2988,plain,
! [X0] :
( ~ sQ93_spl
| sK9_skl(succ(X0),succ(sK5_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK5_skl)))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK5_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f986,f324]) ).
fof(f2989,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK9_skl(succ(X0),succ(sK5_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK5_skl)))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK5_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f986,f142]) ).
fof(f2994,plain,
! [X0] :
( ~ sQ93_spl
| sK9_skl(X0,succ(sK5_skl)) = sK14_skl(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)) = sK2_skl(sK11_skl(X0,succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK3_skl(sK11_skl(X0,succ(sK5_skl)))
| sP0_prd(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f986,f146]) ).
fof(f2995,plain,
! [X0] :
( ~ sQ93_spl
| sK9_skl(X0,succ(sK5_skl)) = sK14_skl(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)) = sK2_skl(sK11_skl(X0,succ(sK5_skl)))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK3_skl(sK11_skl(X0,succ(sK5_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f986,f128]) ).
fof(f3017,definition,
! [X0,X1] :
( sQ312_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f3020,plain,
( sQ312_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2980,f956,f3017]) ).
fof(f3021,definition,
! [X0,X1] :
( sQ313_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f3024,plain,
( sQ313_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2981,f956,f3021]) ).
fof(f3025,definition,
! [X0,X1] :
( sQ314_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f3028,plain,
( sQ314_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2982,f956,f3025]) ).
fof(f3029,definition,
! [X0,X1] :
( sQ315_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f3032,plain,
( sQ315_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2983,f956,f3029]) ).
fof(f3033,definition,
! [X0,X1] :
( sQ316_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f3036,plain,
( sQ316_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2984,f956,f3033]) ).
fof(f3037,definition,
! [X0,X1] :
( sQ317_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f3040,plain,
( sQ317_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2985,f956,f3037]) ).
fof(f3041,definition,
! [X0,X1] :
( sQ318_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f3044,plain,
( sQ318_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2986,f956,f3041]) ).
fof(f3045,definition,
! [X0,X1] :
( sQ319_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f3048,plain,
( sQ319_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2987,f956,f3045]) ).
fof(f3049,definition,
! [X0] :
( sQ320_spl
<=> ( sK9_skl(succ(X0),succ(sK5_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK5_skl)))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK5_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f3052,plain,
( sQ320_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2988,f956,f3049]) ).
fof(f3053,definition,
! [X0,X1] :
( sQ321_spl
<=> ( sK9_skl(succ(X0),succ(sK5_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK5_skl)))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK5_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f3056,plain,
( sQ321_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2989,f956,f3053]) ).
fof(f3057,definition,
! [X0] :
( sQ322_spl
<=> ( sK9_skl(X0,succ(sK5_skl)) = sK14_skl(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)) = sK2_skl(sK11_skl(X0,succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK3_skl(sK11_skl(X0,succ(sK5_skl)))
| sP0_prd(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f3060,plain,
( sQ322_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2994,f956,f3057]) ).
fof(f3061,definition,
! [X0] :
( sQ323_spl
<=> ( sK9_skl(X0,succ(sK5_skl)) = sK14_skl(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)) = sK2_skl(sK11_skl(X0,succ(sK5_skl)))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK3_skl(sK11_skl(X0,succ(sK5_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f3064,plain,
( sQ323_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2995,f956,f3061]) ).
fof(f3070,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f987,f1518]) ).
fof(f3071,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f987,f1468]) ).
fof(f3072,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f987,f1422]) ).
fof(f3073,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f987,f1376]) ).
fof(f3074,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f987,f1004]) ).
fof(f3075,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f987,f1003]) ).
fof(f3076,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f987,f996]) ).
fof(f3077,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f987,f995]) ).
fof(f3078,plain,
! [X0] :
( ~ sQ93_spl
| sK10_skl(succ(X0),succ(sK5_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK5_skl)))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK5_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f987,f324]) ).
fof(f3079,plain,
! [X0,X1] :
( ~ sQ93_spl
| sK10_skl(succ(X0),succ(sK5_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK5_skl)))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK5_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0))
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f987,f142]) ).
fof(f3085,plain,
! [X0] :
( ~ sQ93_spl
| sK10_skl(X0,succ(sK5_skl)) = sK15_skl(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)) = sK2_skl(sK11_skl(X0,succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK3_skl(sK11_skl(X0,succ(sK5_skl)))
| sP0_prd(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f987,f146]) ).
fof(f3086,plain,
! [X0] :
( ~ sQ93_spl
| sK10_skl(X0,succ(sK5_skl)) = sK15_skl(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)) = sK2_skl(sK11_skl(X0,succ(sK5_skl)))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK3_skl(sK11_skl(X0,succ(sK5_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| ~ ordinal(succ(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f987,f128]) ).
fof(f3108,definition,
! [X0,X1] :
( sQ324_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f3111,plain,
( sQ324_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f3070,f956,f3108]) ).
fof(f3112,definition,
! [X0,X1] :
( sQ325_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f3115,plain,
( sQ325_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f3071,f956,f3112]) ).
fof(f3116,definition,
! [X0,X1] :
( sQ326_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f3119,plain,
( sQ326_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f3072,f956,f3116]) ).
fof(f3120,definition,
! [X0,X1] :
( sQ327_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f3123,plain,
( sQ327_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f3073,f956,f3120]) ).
fof(f3124,definition,
! [X0,X1] :
( sQ328_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f3127,plain,
( sQ328_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f3074,f956,f3124]) ).
fof(f3128,definition,
! [X0,X1] :
( sQ329_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f3131,plain,
( sQ329_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f3075,f956,f3128]) ).
fof(f3132,definition,
! [X0,X1] :
( sQ330_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).
fof(f3135,plain,
( sQ330_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f3076,f956,f3132]) ).
fof(f3136,definition,
! [X0,X1] :
( sQ331_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK5_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK5_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))),sK11_skl(X0,X1),succ(sK5_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK5_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition]) ).
fof(f3139,plain,
( sQ331_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f3077,f956,f3136]) ).
fof(f3140,definition,
! [X0] :
( sQ332_spl
<=> ( sK10_skl(succ(X0),succ(sK5_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK5_skl)))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK5_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ332_spl])],[split_symbol_definition]) ).
fof(f3143,plain,
( sQ332_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f3078,f956,f3140]) ).
fof(f3144,definition,
! [X0,X1] :
( sQ333_spl
<=> ( sK10_skl(succ(X0),succ(sK5_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK5_skl)))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))),succ(X0),succ(sK5_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK5_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK5_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK5_skl)),sK9_skl(succ(X0),succ(sK5_skl)),sK8_skl(succ(X0),succ(sK5_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition]) ).
fof(f3147,plain,
( sQ333_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f3079,f956,f3144]) ).
fof(f3148,definition,
! [X0] :
( sQ334_spl
<=> ( sK10_skl(X0,succ(sK5_skl)) = sK15_skl(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)) = sK2_skl(sK11_skl(X0,succ(sK5_skl)))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK3_skl(sK11_skl(X0,succ(sK5_skl)))
| sP0_prd(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ334_spl])],[split_symbol_definition]) ).
fof(f3151,plain,
( sQ334_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f3085,f956,f3148]) ).
fof(f3152,definition,
! [X0] :
( sQ335_spl
<=> ( sK10_skl(X0,succ(sK5_skl)) = sK15_skl(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)) = sK2_skl(sK11_skl(X0,succ(sK5_skl)))
| sK2_skl(sK11_skl(X0,succ(sK5_skl))) = sK3_skl(sK11_skl(X0,succ(sK5_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK5_skl))),X0,succ(sK5_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK5_skl)),sK9_skl(X0,succ(sK5_skl)),sK8_skl(X0,succ(sK5_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition]) ).
fof(f3155,plain,
( sQ335_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f3086,f956,f3152]) ).
fof(f3158,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1048,f1518]) ).
fof(f3159,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1048,f1468]) ).
fof(f3160,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1048,f1422]) ).
fof(f3161,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1048,f1376]) ).
fof(f3162,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1048,f1004]) ).
fof(f3163,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1048,f1003]) ).
fof(f3164,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1048,f996]) ).
fof(f3165,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1048,f995]) ).
fof(f3166,plain,
! [X0] :
( ~ sQ98_spl
| sK9_skl(succ(X0),succ(sK4_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK4_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1048,f324]) ).
fof(f3167,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK9_skl(succ(X0),succ(sK4_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK4_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1048,f142]) ).
fof(f3170,plain,
! [X0] :
( ~ sQ98_spl
| sK9_skl(X0,succ(sK4_skl)) = sK14_skl(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK3_skl(sK11_skl(X0,succ(sK4_skl)))
| sP0_prd(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1048,f146]) ).
fof(f3171,plain,
! [X0] :
( ~ sQ98_spl
| sK9_skl(X0,succ(sK4_skl)) = sK14_skl(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK3_skl(sK11_skl(X0,succ(sK4_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1048,f128]) ).
fof(f3193,definition,
! [X0,X1] :
( sQ336_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition]) ).
fof(f3196,plain,
( sQ336_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3158,f1020,f3193]) ).
fof(f3197,definition,
! [X0,X1] :
( sQ337_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition]) ).
fof(f3200,plain,
( sQ337_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3159,f1020,f3197]) ).
fof(f3201,definition,
! [X0,X1] :
( sQ338_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ338_spl])],[split_symbol_definition]) ).
fof(f3204,plain,
( sQ338_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3160,f1020,f3201]) ).
fof(f3205,definition,
! [X0,X1] :
( sQ339_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition]) ).
fof(f3208,plain,
( sQ339_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3161,f1020,f3205]) ).
fof(f3209,definition,
! [X0,X1] :
( sQ340_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition]) ).
fof(f3212,plain,
( sQ340_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3162,f1020,f3209]) ).
fof(f3213,definition,
! [X0,X1] :
( sQ341_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition]) ).
fof(f3216,plain,
( sQ341_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3163,f1020,f3213]) ).
fof(f3217,definition,
! [X0,X1] :
( sQ342_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).
fof(f3220,plain,
( sQ342_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3164,f1020,f3217]) ).
fof(f3221,definition,
! [X0,X1] :
( sQ343_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f3224,plain,
( sQ343_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3165,f1020,f3221]) ).
fof(f3225,definition,
! [X0] :
( sQ344_spl
<=> ( sK9_skl(succ(X0),succ(sK4_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK4_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).
fof(f3228,plain,
( sQ344_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3166,f1020,f3225]) ).
fof(f3229,definition,
! [X0,X1] :
( sQ345_spl
<=> ( sK9_skl(succ(X0),succ(sK4_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK4_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).
fof(f3232,plain,
( sQ345_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3167,f1020,f3229]) ).
fof(f3234,definition,
! [X0] :
( sQ346_spl
<=> ( sK9_skl(X0,succ(sK4_skl)) = sK14_skl(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK3_skl(sK11_skl(X0,succ(sK4_skl)))
| sP0_prd(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).
fof(f3237,plain,
( sQ346_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3170,f1020,f3234]) ).
fof(f3238,definition,
! [X0] :
( sQ347_spl
<=> ( sK9_skl(X0,succ(sK4_skl)) = sK14_skl(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK3_skl(sK11_skl(X0,succ(sK4_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition]) ).
fof(f3241,plain,
( sQ347_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3171,f1020,f3238]) ).
fof(f3245,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1049,f1518]) ).
fof(f3246,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1049,f1468]) ).
fof(f3247,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1049,f1422]) ).
fof(f3248,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1049,f1376]) ).
fof(f3249,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1049,f1004]) ).
fof(f3250,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1049,f1003]) ).
fof(f3251,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1049,f996]) ).
fof(f3252,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1049,f995]) ).
fof(f3253,plain,
! [X0] :
( ~ sQ98_spl
| sK10_skl(succ(X0),succ(sK4_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK4_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1049,f324]) ).
fof(f3254,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK10_skl(succ(X0),succ(sK4_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK4_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1049,f142]) ).
fof(f3258,plain,
! [X0] :
( ~ sQ98_spl
| sK10_skl(X0,succ(sK4_skl)) = sK15_skl(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK3_skl(sK11_skl(X0,succ(sK4_skl)))
| sP0_prd(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1049,f146]) ).
fof(f3259,plain,
! [X0] :
( ~ sQ98_spl
| sK10_skl(X0,succ(sK4_skl)) = sK15_skl(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK3_skl(sK11_skl(X0,succ(sK4_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1049,f128]) ).
fof(f3281,definition,
! [X0,X1] :
( sQ348_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).
fof(f3284,plain,
( sQ348_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3245,f1020,f3281]) ).
fof(f3285,definition,
! [X0,X1] :
( sQ349_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition]) ).
fof(f3288,plain,
( sQ349_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3246,f1020,f3285]) ).
fof(f3289,definition,
! [X0,X1] :
( sQ350_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ350_spl])],[split_symbol_definition]) ).
fof(f3292,plain,
( sQ350_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3247,f1020,f3289]) ).
fof(f3293,definition,
! [X0,X1] :
( sQ351_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition]) ).
fof(f3296,plain,
( sQ351_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3248,f1020,f3293]) ).
fof(f3297,definition,
! [X0,X1] :
( sQ352_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).
fof(f3300,plain,
( sQ352_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3249,f1020,f3297]) ).
fof(f3301,definition,
! [X0,X1] :
( sQ353_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition]) ).
fof(f3304,plain,
( sQ353_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3250,f1020,f3301]) ).
fof(f3305,definition,
! [X0,X1] :
( sQ354_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ354_spl])],[split_symbol_definition]) ).
fof(f3308,plain,
( sQ354_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3251,f1020,f3305]) ).
fof(f3309,definition,
! [X0,X1] :
( sQ355_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition]) ).
fof(f3312,plain,
( sQ355_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3252,f1020,f3309]) ).
fof(f3313,definition,
! [X0] :
( sQ356_spl
<=> ( sK10_skl(succ(X0),succ(sK4_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK4_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ356_spl])],[split_symbol_definition]) ).
fof(f3316,plain,
( sQ356_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3253,f1020,f3313]) ).
fof(f3317,definition,
! [X0,X1] :
( sQ357_spl
<=> ( sK10_skl(succ(X0),succ(sK4_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK4_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f3320,plain,
( sQ357_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3254,f1020,f3317]) ).
fof(f3322,definition,
! [X0] :
( sQ358_spl
<=> ( sK10_skl(X0,succ(sK4_skl)) = sK15_skl(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK3_skl(sK11_skl(X0,succ(sK4_skl)))
| sP0_prd(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ358_spl])],[split_symbol_definition]) ).
fof(f3325,plain,
( sQ358_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3258,f1020,f3322]) ).
fof(f3326,definition,
! [X0] :
( sQ359_spl
<=> ( sK10_skl(X0,succ(sK4_skl)) = sK15_skl(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK3_skl(sK11_skl(X0,succ(sK4_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ359_spl])],[split_symbol_definition]) ).
fof(f3329,plain,
( sQ359_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3259,f1020,f3326]) ).
fof(f3334,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1050,f1518]) ).
fof(f3335,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1050,f1468]) ).
fof(f3336,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1050,f1422]) ).
fof(f3337,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1050,f1376]) ).
fof(f3338,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1050,f1004]) ).
fof(f3339,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1050,f1003]) ).
fof(f3340,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1050,f996]) ).
fof(f3341,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1050,f995]) ).
fof(f3342,plain,
! [X0] :
( ~ sQ98_spl
| sK9_skl(succ(X0),succ(sK4_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK4_skl)))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK4_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1050,f324]) ).
fof(f3343,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK9_skl(succ(X0),succ(sK4_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK4_skl)))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK4_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1050,f142]) ).
fof(f3348,plain,
! [X0] :
( ~ sQ98_spl
| sK9_skl(X0,succ(sK4_skl)) = sK14_skl(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)) = sK2_skl(sK11_skl(X0,succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK3_skl(sK11_skl(X0,succ(sK4_skl)))
| sP0_prd(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1050,f146]) ).
fof(f3349,plain,
! [X0] :
( ~ sQ98_spl
| sK9_skl(X0,succ(sK4_skl)) = sK14_skl(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)) = sK2_skl(sK11_skl(X0,succ(sK4_skl)))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK3_skl(sK11_skl(X0,succ(sK4_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1050,f128]) ).
fof(f3371,definition,
! [X0,X1] :
( sQ360_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ360_spl])],[split_symbol_definition]) ).
fof(f3374,plain,
( sQ360_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3334,f1020,f3371]) ).
fof(f3375,definition,
! [X0,X1] :
( sQ361_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ361_spl])],[split_symbol_definition]) ).
fof(f3378,plain,
( sQ361_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3335,f1020,f3375]) ).
fof(f3379,definition,
! [X0,X1] :
( sQ362_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ362_spl])],[split_symbol_definition]) ).
fof(f3382,plain,
( sQ362_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3336,f1020,f3379]) ).
fof(f3383,definition,
! [X0,X1] :
( sQ363_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ363_spl])],[split_symbol_definition]) ).
fof(f3386,plain,
( sQ363_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3337,f1020,f3383]) ).
fof(f3387,definition,
! [X0,X1] :
( sQ364_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ364_spl])],[split_symbol_definition]) ).
fof(f3390,plain,
( sQ364_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3338,f1020,f3387]) ).
fof(f3391,definition,
! [X0,X1] :
( sQ365_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ365_spl])],[split_symbol_definition]) ).
fof(f3394,plain,
( sQ365_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3339,f1020,f3391]) ).
fof(f3395,definition,
! [X0,X1] :
( sQ366_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ366_spl])],[split_symbol_definition]) ).
fof(f3398,plain,
( sQ366_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3340,f1020,f3395]) ).
fof(f3399,definition,
! [X0,X1] :
( sQ367_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition]) ).
fof(f3402,plain,
( sQ367_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3341,f1020,f3399]) ).
fof(f3403,definition,
! [X0] :
( sQ368_spl
<=> ( sK9_skl(succ(X0),succ(sK4_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK4_skl)))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK4_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ368_spl])],[split_symbol_definition]) ).
fof(f3406,plain,
( sQ368_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3342,f1020,f3403]) ).
fof(f3407,definition,
! [X0,X1] :
( sQ369_spl
<=> ( sK9_skl(succ(X0),succ(sK4_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK4_skl)))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK4_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ369_spl])],[split_symbol_definition]) ).
fof(f3410,plain,
( sQ369_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3343,f1020,f3407]) ).
fof(f3411,definition,
! [X0] :
( sQ370_spl
<=> ( sK9_skl(X0,succ(sK4_skl)) = sK14_skl(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)) = sK2_skl(sK11_skl(X0,succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK3_skl(sK11_skl(X0,succ(sK4_skl)))
| sP0_prd(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ370_spl])],[split_symbol_definition]) ).
fof(f3414,plain,
( sQ370_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3348,f1020,f3411]) ).
fof(f3415,definition,
! [X0] :
( sQ371_spl
<=> ( sK9_skl(X0,succ(sK4_skl)) = sK14_skl(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)) = sK2_skl(sK11_skl(X0,succ(sK4_skl)))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK3_skl(sK11_skl(X0,succ(sK4_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition]) ).
fof(f3418,plain,
( sQ371_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3349,f1020,f3415]) ).
fof(f3424,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1051,f1518]) ).
fof(f3425,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1051,f1468]) ).
fof(f3426,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1051,f1422]) ).
fof(f3427,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1051,f1376]) ).
fof(f3428,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1051,f1004]) ).
fof(f3429,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1051,f1003]) ).
fof(f3430,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1051,f996]) ).
fof(f3431,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1051,f995]) ).
fof(f3432,plain,
! [X0] :
( ~ sQ98_spl
| sK10_skl(succ(X0),succ(sK4_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK4_skl)))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK4_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1051,f324]) ).
fof(f3433,plain,
! [X0,X1] :
( ~ sQ98_spl
| sK10_skl(succ(X0),succ(sK4_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK4_skl)))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK4_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0))
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1051,f142]) ).
fof(f3439,plain,
! [X0] :
( ~ sQ98_spl
| sK10_skl(X0,succ(sK4_skl)) = sK15_skl(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)) = sK2_skl(sK11_skl(X0,succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK3_skl(sK11_skl(X0,succ(sK4_skl)))
| sP0_prd(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1051,f146]) ).
fof(f3440,plain,
! [X0] :
( ~ sQ98_spl
| sK10_skl(X0,succ(sK4_skl)) = sK15_skl(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)) = sK2_skl(sK11_skl(X0,succ(sK4_skl)))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK3_skl(sK11_skl(X0,succ(sK4_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| ~ ordinal(succ(sK4_skl)) ),
inference(paramodulation,[status(thm)],[f1051,f128]) ).
fof(f3462,definition,
! [X0,X1] :
( sQ372_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ372_spl])],[split_symbol_definition]) ).
fof(f3465,plain,
( sQ372_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3424,f1020,f3462]) ).
fof(f3466,definition,
! [X0,X1] :
( sQ373_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition]) ).
fof(f3469,plain,
( sQ373_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3425,f1020,f3466]) ).
fof(f3470,definition,
! [X0,X1] :
( sQ374_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition]) ).
fof(f3473,plain,
( sQ374_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3426,f1020,f3470]) ).
fof(f3474,definition,
! [X0,X1] :
( sQ375_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ375_spl])],[split_symbol_definition]) ).
fof(f3477,plain,
( sQ375_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3427,f1020,f3474]) ).
fof(f3478,definition,
! [X0,X1] :
( sQ376_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ376_spl])],[split_symbol_definition]) ).
fof(f3481,plain,
( sQ376_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3428,f1020,f3478]) ).
fof(f3482,definition,
! [X0,X1] :
( sQ377_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ377_spl])],[split_symbol_definition]) ).
fof(f3485,plain,
( sQ377_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3429,f1020,f3482]) ).
fof(f3486,definition,
! [X0,X1] :
( sQ378_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ378_spl])],[split_symbol_definition]) ).
fof(f3489,plain,
( sQ378_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3430,f1020,f3486]) ).
fof(f3490,definition,
! [X0,X1] :
( sQ379_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK4_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK4_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))),sK11_skl(X0,X1),succ(sK4_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ379_spl])],[split_symbol_definition]) ).
fof(f3493,plain,
( sQ379_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3431,f1020,f3490]) ).
fof(f3494,definition,
! [X0] :
( sQ380_spl
<=> ( sK10_skl(succ(X0),succ(sK4_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK4_skl)))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK4_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ380_spl])],[split_symbol_definition]) ).
fof(f3497,plain,
( sQ380_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3432,f1020,f3494]) ).
fof(f3498,definition,
! [X0,X1] :
( sQ381_spl
<=> ( sK10_skl(succ(X0),succ(sK4_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK4_skl)))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))),succ(X0),succ(sK4_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK4_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK4_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK4_skl)),sK9_skl(succ(X0),succ(sK4_skl)),sK8_skl(succ(X0),succ(sK4_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ381_spl])],[split_symbol_definition]) ).
fof(f3501,plain,
( sQ381_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3433,f1020,f3498]) ).
fof(f3502,definition,
! [X0] :
( sQ382_spl
<=> ( sK10_skl(X0,succ(sK4_skl)) = sK15_skl(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)) = sK2_skl(sK11_skl(X0,succ(sK4_skl)))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK3_skl(sK11_skl(X0,succ(sK4_skl)))
| sP0_prd(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ382_spl])],[split_symbol_definition]) ).
fof(f3505,plain,
( sQ382_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3439,f1020,f3502]) ).
fof(f3506,definition,
! [X0] :
( sQ383_spl
<=> ( sK10_skl(X0,succ(sK4_skl)) = sK15_skl(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)) = sK2_skl(sK11_skl(X0,succ(sK4_skl)))
| sK2_skl(sK11_skl(X0,succ(sK4_skl))) = sK3_skl(sK11_skl(X0,succ(sK4_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK4_skl))),X0,succ(sK4_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK4_skl)),sK9_skl(X0,succ(sK4_skl)),sK8_skl(X0,succ(sK4_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ383_spl])],[split_symbol_definition]) ).
fof(f3509,plain,
( sQ383_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3440,f1020,f3506]) ).
fof(f3512,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1095,f1518]) ).
fof(f3513,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1095,f1468]) ).
fof(f3514,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1095,f1422]) ).
fof(f3515,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1095,f1376]) ).
fof(f3516,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1095,f1004]) ).
fof(f3517,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1095,f1003]) ).
fof(f3518,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1095,f996]) ).
fof(f3519,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1095,f995]) ).
fof(f3520,plain,
! [X0] :
( ~ sQ103_spl
| sK9_skl(succ(X0),succ(sK0_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK0_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1095,f324]) ).
fof(f3521,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK9_skl(succ(X0),succ(sK0_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK0_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1095,f142]) ).
fof(f3524,plain,
! [X0] :
( ~ sQ103_spl
| sK9_skl(X0,succ(sK0_skl)) = sK14_skl(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK3_skl(sK11_skl(X0,succ(sK0_skl)))
| sP0_prd(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1095,f146]) ).
fof(f3525,plain,
! [X0] :
( ~ sQ103_spl
| sK9_skl(X0,succ(sK0_skl)) = sK14_skl(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK3_skl(sK11_skl(X0,succ(sK0_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1095,f128]) ).
fof(f3547,definition,
! [X0,X1] :
( sQ384_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition]) ).
fof(f3550,plain,
( sQ384_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3512,f1068,f3547]) ).
fof(f3551,definition,
! [X0,X1] :
( sQ385_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition]) ).
fof(f3554,plain,
( sQ385_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3513,f1068,f3551]) ).
fof(f3555,definition,
! [X0,X1] :
( sQ386_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ386_spl])],[split_symbol_definition]) ).
fof(f3558,plain,
( sQ386_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3514,f1068,f3555]) ).
fof(f3559,definition,
! [X0,X1] :
( sQ387_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ387_spl])],[split_symbol_definition]) ).
fof(f3562,plain,
( sQ387_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3515,f1068,f3559]) ).
fof(f3563,definition,
! [X0,X1] :
( sQ388_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ388_spl])],[split_symbol_definition]) ).
fof(f3566,plain,
( sQ388_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3516,f1068,f3563]) ).
fof(f3567,definition,
! [X0,X1] :
( sQ389_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ389_spl])],[split_symbol_definition]) ).
fof(f3570,plain,
( sQ389_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3517,f1068,f3567]) ).
fof(f3571,definition,
! [X0,X1] :
( sQ390_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ390_spl])],[split_symbol_definition]) ).
fof(f3574,plain,
( sQ390_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3518,f1068,f3571]) ).
fof(f3575,definition,
! [X0,X1] :
( sQ391_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ391_spl])],[split_symbol_definition]) ).
fof(f3578,plain,
( sQ391_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3519,f1068,f3575]) ).
fof(f3579,definition,
! [X0] :
( sQ392_spl
<=> ( sK9_skl(succ(X0),succ(sK0_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK0_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ392_spl])],[split_symbol_definition]) ).
fof(f3582,plain,
( sQ392_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3520,f1068,f3579]) ).
fof(f3583,definition,
! [X0,X1] :
( sQ393_spl
<=> ( sK9_skl(succ(X0),succ(sK0_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK0_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ393_spl])],[split_symbol_definition]) ).
fof(f3586,plain,
( sQ393_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3521,f1068,f3583]) ).
fof(f3588,definition,
! [X0] :
( sQ394_spl
<=> ( sK9_skl(X0,succ(sK0_skl)) = sK14_skl(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK3_skl(sK11_skl(X0,succ(sK0_skl)))
| sP0_prd(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ394_spl])],[split_symbol_definition]) ).
fof(f3591,plain,
( sQ394_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3524,f1068,f3588]) ).
fof(f3592,definition,
! [X0] :
( sQ395_spl
<=> ( sK9_skl(X0,succ(sK0_skl)) = sK14_skl(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK3_skl(sK11_skl(X0,succ(sK0_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ395_spl])],[split_symbol_definition]) ).
fof(f3595,plain,
( sQ395_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3525,f1068,f3592]) ).
fof(f3599,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1096,f1518]) ).
fof(f3600,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1096,f1468]) ).
fof(f3601,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1096,f1422]) ).
fof(f3602,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1096,f1376]) ).
fof(f3603,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1096,f1004]) ).
fof(f3604,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1096,f1003]) ).
fof(f3605,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1096,f996]) ).
fof(f3606,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1096,f995]) ).
fof(f3607,plain,
! [X0] :
( ~ sQ103_spl
| sK10_skl(succ(X0),succ(sK0_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK0_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1096,f324]) ).
fof(f3608,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK10_skl(succ(X0),succ(sK0_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK0_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1096,f142]) ).
fof(f3612,plain,
! [X0] :
( ~ sQ103_spl
| sK10_skl(X0,succ(sK0_skl)) = sK15_skl(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK3_skl(sK11_skl(X0,succ(sK0_skl)))
| sP0_prd(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1096,f146]) ).
fof(f3613,plain,
! [X0] :
( ~ sQ103_spl
| sK10_skl(X0,succ(sK0_skl)) = sK15_skl(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK3_skl(sK11_skl(X0,succ(sK0_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1096,f128]) ).
fof(f3635,definition,
! [X0,X1] :
( sQ396_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ396_spl])],[split_symbol_definition]) ).
fof(f3638,plain,
( sQ396_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3599,f1068,f3635]) ).
fof(f3639,definition,
! [X0,X1] :
( sQ397_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ397_spl])],[split_symbol_definition]) ).
fof(f3642,plain,
( sQ397_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3600,f1068,f3639]) ).
fof(f3643,definition,
! [X0,X1] :
( sQ398_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ398_spl])],[split_symbol_definition]) ).
fof(f3646,plain,
( sQ398_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3601,f1068,f3643]) ).
fof(f3647,definition,
! [X0,X1] :
( sQ399_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ399_spl])],[split_symbol_definition]) ).
fof(f3650,plain,
( sQ399_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3602,f1068,f3647]) ).
fof(f3651,definition,
! [X0,X1] :
( sQ400_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ400_spl])],[split_symbol_definition]) ).
fof(f3654,plain,
( sQ400_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3603,f1068,f3651]) ).
fof(f3655,definition,
! [X0,X1] :
( sQ401_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ401_spl])],[split_symbol_definition]) ).
fof(f3658,plain,
( sQ401_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3604,f1068,f3655]) ).
fof(f3659,definition,
! [X0,X1] :
( sQ402_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ402_spl])],[split_symbol_definition]) ).
fof(f3662,plain,
( sQ402_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3605,f1068,f3659]) ).
fof(f3663,definition,
! [X0,X1] :
( sQ403_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ403_spl])],[split_symbol_definition]) ).
fof(f3666,plain,
( sQ403_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3606,f1068,f3663]) ).
fof(f3667,definition,
! [X0] :
( sQ404_spl
<=> ( sK10_skl(succ(X0),succ(sK0_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK0_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ404_spl])],[split_symbol_definition]) ).
fof(f3670,plain,
( sQ404_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3607,f1068,f3667]) ).
fof(f3671,definition,
! [X0,X1] :
( sQ405_spl
<=> ( sK10_skl(succ(X0),succ(sK0_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0))
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK0_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ405_spl])],[split_symbol_definition]) ).
fof(f3674,plain,
( sQ405_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3608,f1068,f3671]) ).
fof(f3676,definition,
! [X0] :
( sQ406_spl
<=> ( sK10_skl(X0,succ(sK0_skl)) = sK15_skl(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK3_skl(sK11_skl(X0,succ(sK0_skl)))
| sP0_prd(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ406_spl])],[split_symbol_definition]) ).
fof(f3679,plain,
( sQ406_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3612,f1068,f3676]) ).
fof(f3680,definition,
! [X0] :
( sQ407_spl
<=> ( sK10_skl(X0,succ(sK0_skl)) = sK15_skl(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK3_skl(sK11_skl(X0,succ(sK0_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ407_spl])],[split_symbol_definition]) ).
fof(f3683,plain,
( sQ407_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3613,f1068,f3680]) ).
fof(f3739,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1097,f1518]) ).
fof(f3740,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1097,f1468]) ).
fof(f3741,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1097,f1422]) ).
fof(f3742,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1097,f1376]) ).
fof(f3743,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1097,f1004]) ).
fof(f3744,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1097,f1003]) ).
fof(f3745,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1097,f996]) ).
fof(f3746,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1097,f995]) ).
fof(f3747,plain,
! [X0] :
( ~ sQ103_spl
| sK9_skl(succ(X0),succ(sK0_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK0_skl)))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK0_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1097,f324]) ).
fof(f3748,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK9_skl(succ(X0),succ(sK0_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK0_skl)))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK0_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1097,f142]) ).
fof(f3753,plain,
! [X0] :
( ~ sQ103_spl
| sK9_skl(X0,succ(sK0_skl)) = sK14_skl(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)) = sK2_skl(sK11_skl(X0,succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK3_skl(sK11_skl(X0,succ(sK0_skl)))
| sP0_prd(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1097,f146]) ).
fof(f3754,plain,
! [X0] :
( ~ sQ103_spl
| sK9_skl(X0,succ(sK0_skl)) = sK14_skl(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)) = sK2_skl(sK11_skl(X0,succ(sK0_skl)))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK3_skl(sK11_skl(X0,succ(sK0_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1097,f128]) ).
fof(f3776,definition,
! [X0,X1] :
( sQ408_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ408_spl])],[split_symbol_definition]) ).
fof(f3779,plain,
( sQ408_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3739,f1068,f3776]) ).
fof(f3780,definition,
! [X0,X1] :
( sQ409_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ409_spl])],[split_symbol_definition]) ).
fof(f3783,plain,
( sQ409_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3740,f1068,f3780]) ).
fof(f3784,definition,
! [X0,X1] :
( sQ410_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ410_spl])],[split_symbol_definition]) ).
fof(f3787,plain,
( sQ410_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3741,f1068,f3784]) ).
fof(f3788,definition,
! [X0,X1] :
( sQ411_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ411_spl])],[split_symbol_definition]) ).
fof(f3791,plain,
( sQ411_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3742,f1068,f3788]) ).
fof(f3792,definition,
! [X0,X1] :
( sQ412_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ412_spl])],[split_symbol_definition]) ).
fof(f3795,plain,
( sQ412_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3743,f1068,f3792]) ).
fof(f3796,definition,
! [X0,X1] :
( sQ413_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ413_spl])],[split_symbol_definition]) ).
fof(f3799,plain,
( sQ413_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3744,f1068,f3796]) ).
fof(f3800,definition,
! [X0,X1] :
( sQ414_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ414_spl])],[split_symbol_definition]) ).
fof(f3803,plain,
( sQ414_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3745,f1068,f3800]) ).
fof(f3804,definition,
! [X0,X1] :
( sQ415_spl
<=> ( sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK14_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ415_spl])],[split_symbol_definition]) ).
fof(f3807,plain,
( sQ415_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3746,f1068,f3804]) ).
fof(f3808,definition,
! [X0] :
( sQ416_spl
<=> ( sK9_skl(succ(X0),succ(sK0_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK0_skl)))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK0_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ416_spl])],[split_symbol_definition]) ).
fof(f3811,plain,
( sQ416_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3747,f1068,f3808]) ).
fof(f3812,definition,
! [X0,X1] :
( sQ417_spl
<=> ( sK9_skl(succ(X0),succ(sK0_skl)) = sK14_skl(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK0_skl)))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK0_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ417_spl])],[split_symbol_definition]) ).
fof(f3815,plain,
( sQ417_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3748,f1068,f3812]) ).
fof(f3816,definition,
! [X0] :
( sQ418_spl
<=> ( sK9_skl(X0,succ(sK0_skl)) = sK14_skl(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)) = sK2_skl(sK11_skl(X0,succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK3_skl(sK11_skl(X0,succ(sK0_skl)))
| sP0_prd(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ418_spl])],[split_symbol_definition]) ).
fof(f3819,plain,
( sQ418_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3753,f1068,f3816]) ).
fof(f3820,definition,
! [X0] :
( sQ419_spl
<=> ( sK9_skl(X0,succ(sK0_skl)) = sK14_skl(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)) = sK2_skl(sK11_skl(X0,succ(sK0_skl)))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK3_skl(sK11_skl(X0,succ(sK0_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ419_spl])],[split_symbol_definition]) ).
fof(f3823,plain,
( sQ419_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3754,f1068,f3820]) ).
fof(f3829,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1098,f1518]) ).
fof(f3830,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1098,f1468]) ).
fof(f3831,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1098,f1422]) ).
fof(f3832,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1098,f1376]) ).
fof(f3833,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1098,f1004]) ).
fof(f3834,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1098,f1003]) ).
fof(f3835,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1098,f996]) ).
fof(f3836,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1098,f995]) ).
fof(f3837,plain,
! [X0] :
( ~ sQ103_spl
| sK10_skl(succ(X0),succ(sK0_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK0_skl)))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK0_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1098,f324]) ).
fof(f3838,plain,
! [X0,X1] :
( ~ sQ103_spl
| sK10_skl(succ(X0),succ(sK0_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK0_skl)))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK0_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0))
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1098,f142]) ).
fof(f3844,plain,
! [X0] :
( ~ sQ103_spl
| sK10_skl(X0,succ(sK0_skl)) = sK15_skl(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)) = sK2_skl(sK11_skl(X0,succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK3_skl(sK11_skl(X0,succ(sK0_skl)))
| sP0_prd(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1098,f146]) ).
fof(f3845,plain,
! [X0] :
( ~ sQ103_spl
| sK10_skl(X0,succ(sK0_skl)) = sK15_skl(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)) = sK2_skl(sK11_skl(X0,succ(sK0_skl)))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK3_skl(sK11_skl(X0,succ(sK0_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| ~ ordinal(succ(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f1098,f128]) ).
fof(f3867,definition,
! [X0,X1] :
( sQ420_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ420_spl])],[split_symbol_definition]) ).
fof(f3870,plain,
( sQ420_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3829,f1068,f3867]) ).
fof(f3871,definition,
! [X0,X1] :
( sQ421_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ421_spl])],[split_symbol_definition]) ).
fof(f3874,plain,
( sQ421_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3830,f1068,f3871]) ).
fof(f3875,definition,
! [X0,X1] :
( sQ422_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ422_spl])],[split_symbol_definition]) ).
fof(f3878,plain,
( sQ422_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3831,f1068,f3875]) ).
fof(f3879,definition,
! [X0,X1] :
( sQ423_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ423_spl])],[split_symbol_definition]) ).
fof(f3882,plain,
( sQ423_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3832,f1068,f3879]) ).
fof(f3883,definition,
! [X0,X1] :
( sQ424_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ424_spl])],[split_symbol_definition]) ).
fof(f3886,plain,
( sQ424_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3833,f1068,f3883]) ).
fof(f3887,definition,
! [X0,X1] :
( sQ425_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK9_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ425_spl])],[split_symbol_definition]) ).
fof(f3890,plain,
( sQ425_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3834,f1068,f3887]) ).
fof(f3891,definition,
! [X0,X1] :
( sQ426_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| sK8_skl(X0,X1) = sK9_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ426_spl])],[split_symbol_definition]) ).
fof(f3894,plain,
( sQ426_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3835,f1068,f3891]) ).
fof(f3895,definition,
! [X0,X1] :
( sQ427_spl
<=> ( sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK15_skl(sK10_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK9_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)),sK11_skl(X0,X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)) = sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl)))
| sK8_skl(X0,X1) = sK10_skl(X0,X1)
| sK8_skl(sK11_skl(X0,X1),succ(sK0_skl)) = sK10_skl(sK11_skl(X0,X1),succ(sK0_skl))
| in(sK13_skl(sK13_skl(sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))),sK11_skl(X0,X1),succ(sK0_skl)),X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) = sK3_skl(sK11_skl(sK11_skl(X0,X1),succ(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ427_spl])],[split_symbol_definition]) ).
fof(f3898,plain,
( sQ427_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3836,f1068,f3895]) ).
fof(f3899,definition,
! [X0] :
( sQ428_spl
<=> ( sK10_skl(succ(X0),succ(sK0_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK0_skl)))
| ~ ordinal(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),sK11_skl(succ(X0),X0))
| sP0_prd(sK10_skl(succ(X0),X0),sK9_skl(succ(X0),X0),sK8_skl(succ(X0),X0),succ(X0))
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK0_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ428_spl])],[split_symbol_definition]) ).
fof(f3902,plain,
( sQ428_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3837,f1068,f3899]) ).
fof(f3903,definition,
! [X0,X1] :
( sQ429_spl
<=> ( sK10_skl(succ(X0),succ(sK0_skl)) = sK15_skl(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)) = sK2_skl(sK11_skl(succ(X0),succ(sK0_skl)))
| ~ in(sK13_skl(sK3_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),X1)
| ~ ordinal(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)))
| in(sK13_skl(sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))),succ(X0),succ(sK0_skl)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),succ(sK0_skl))) = sK3_skl(sK11_skl(succ(X0),succ(sK0_skl)))
| sP0_prd(sK10_skl(succ(X0),succ(sK0_skl)),sK9_skl(succ(X0),succ(sK0_skl)),sK8_skl(succ(X0),succ(sK0_skl)),succ(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ429_spl])],[split_symbol_definition]) ).
fof(f3906,plain,
( sQ429_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3838,f1068,f3903]) ).
fof(f3907,definition,
! [X0] :
( sQ430_spl
<=> ( sK10_skl(X0,succ(sK0_skl)) = sK15_skl(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)) = sK2_skl(sK11_skl(X0,succ(sK0_skl)))
| ~ in(X0,sK13_skl(sK3_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK3_skl(sK11_skl(X0,succ(sK0_skl)))
| sP0_prd(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ430_spl])],[split_symbol_definition]) ).
fof(f3910,plain,
( sQ430_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3844,f1068,f3907]) ).
fof(f3911,definition,
! [X0] :
( sQ431_spl
<=> ( sK10_skl(X0,succ(sK0_skl)) = sK15_skl(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0)
| sK12_skl(sK2_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)) = sK2_skl(sK11_skl(X0,succ(sK0_skl)))
| sK2_skl(sK11_skl(X0,succ(sK0_skl))) = sK3_skl(sK11_skl(X0,succ(sK0_skl)))
| in(sK13_skl(sK3_skl(sK11_skl(X0,succ(sK0_skl))),X0,succ(sK0_skl)),X0)
| sP0_prd(sK10_skl(X0,succ(sK0_skl)),sK9_skl(X0,succ(sK0_skl)),sK8_skl(X0,succ(sK0_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ431_spl])],[split_symbol_definition]) ).
fof(f3914,plain,
( sQ431_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3845,f1068,f3911]) ).
fof(f3946,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ7_spl
| sP0_prd(sK10_skl(X1,sK6_skl),sK9_skl(X1,sK6_skl),sK8_skl(X1,sK6_skl),X1)
| ~ ordinal(sK6_skl)
| sK8_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl)) = sK9_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl))
| sK2_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl))) = sK3_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl)))
| sK2_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl))),X2,sK13_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl))
| sK2_skl(sK11_skl(X1,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK6_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK6_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f321,f160]) ).
fof(f3947,plain,
! [X0,X1] :
( ~ sQ28_spl
| ~ sQ7_spl
| in(sK13_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl),X1)
| sP0_prd(sK10_skl(X1,sK6_skl),sK9_skl(X1,sK6_skl),sK8_skl(X1,sK6_skl),X1)
| ~ ordinal(sK6_skl)
| sK2_skl(sK11_skl(X1,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK6_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK6_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f321,f68]) ).
fof(f3948,plain,
! [X0,X1] :
( ~ sQ28_spl
| ~ sQ7_spl
| sK2_skl(sK11_skl(X1,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl)
| sP0_prd(sK10_skl(X1,sK6_skl),sK9_skl(X1,sK6_skl),sK8_skl(X1,sK6_skl),X1)
| ~ ordinal(sK6_skl)
| sK2_skl(sK11_skl(X1,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK6_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK6_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f321,f67]) ).
fof(f3949,plain,
! [X0,X1] :
( ~ sQ28_spl
| ~ sQ7_spl
| sK12_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl) = sK2_skl(sK11_skl(X1,sK6_skl))
| sP0_prd(sK10_skl(X1,sK6_skl),sK9_skl(X1,sK6_skl),sK8_skl(X1,sK6_skl),X1)
| ~ ordinal(sK6_skl)
| sK2_skl(sK11_skl(X1,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK6_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK6_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f321,f65]) ).
fof(f3952,definition,
! [X0,X1,X2] :
( sQ432_spl
<=> ( sP0_prd(sK10_skl(X1,sK6_skl),sK9_skl(X1,sK6_skl),sK8_skl(X1,sK6_skl),X1)
| sK8_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl)) = sK9_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl))
| sK2_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl))) = sK3_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl)))
| sK2_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl))),X2,sK13_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl))
| sK2_skl(sK11_skl(X1,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK6_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK6_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ432_spl])],[split_symbol_definition]) ).
fof(f3955,plain,
( ~ sQ28_spl
| ~ sQ7_spl
| ~ sQ5_spl
| sQ432_spl ),
inference(split_clause,[status(thm)],[f3946,f3952,f116,f136,f290]) ).
fof(f3956,definition,
! [X0,X1] :
( sQ433_spl
<=> ( in(sK13_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl),X1)
| sP0_prd(sK10_skl(X1,sK6_skl),sK9_skl(X1,sK6_skl),sK8_skl(X1,sK6_skl),X1)
| sK2_skl(sK11_skl(X1,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK6_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK6_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ433_spl])],[split_symbol_definition]) ).
fof(f3959,plain,
( ~ sQ28_spl
| ~ sQ7_spl
| ~ sQ5_spl
| sQ433_spl ),
inference(split_clause,[status(thm)],[f3947,f3956,f116,f136,f290]) ).
fof(f3960,definition,
! [X0,X1] :
( sQ434_spl
<=> ( sK2_skl(sK11_skl(X1,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl)
| sP0_prd(sK10_skl(X1,sK6_skl),sK9_skl(X1,sK6_skl),sK8_skl(X1,sK6_skl),X1)
| sK2_skl(sK11_skl(X1,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK6_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK6_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ434_spl])],[split_symbol_definition]) ).
fof(f3963,plain,
( ~ sQ28_spl
| ~ sQ7_spl
| ~ sQ5_spl
| sQ434_spl ),
inference(split_clause,[status(thm)],[f3948,f3960,f116,f136,f290]) ).
fof(f3964,definition,
! [X0,X1] :
( sQ435_spl
<=> ( sK12_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl) = sK2_skl(sK11_skl(X1,sK6_skl))
| sP0_prd(sK10_skl(X1,sK6_skl),sK9_skl(X1,sK6_skl),sK8_skl(X1,sK6_skl),X1)
| sK2_skl(sK11_skl(X1,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK6_skl)),X1,sK6_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK6_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK6_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ435_spl])],[split_symbol_definition]) ).
fof(f3967,plain,
( ~ sQ28_spl
| ~ sQ7_spl
| ~ sQ5_spl
| sQ435_spl ),
inference(split_clause,[status(thm)],[f3949,f3964,f116,f136,f290]) ).
fof(f3970,plain,
! [X0,X1,X2] :
( ~ sQ33_spl
| ~ sQ7_spl
| sP0_prd(sK10_skl(X1,sK5_skl),sK9_skl(X1,sK5_skl),sK8_skl(X1,sK5_skl),X1)
| ~ ordinal(sK5_skl)
| sK8_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl)) = sK9_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl))
| sK2_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl))) = sK3_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl)))
| sK2_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl))),X2,sK13_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl))
| sK2_skl(sK11_skl(X1,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK5_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK5_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f368,f160]) ).
fof(f3971,plain,
! [X0,X1] :
( ~ sQ33_spl
| ~ sQ7_spl
| in(sK13_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl),X1)
| sP0_prd(sK10_skl(X1,sK5_skl),sK9_skl(X1,sK5_skl),sK8_skl(X1,sK5_skl),X1)
| ~ ordinal(sK5_skl)
| sK2_skl(sK11_skl(X1,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK5_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK5_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f368,f68]) ).
fof(f3972,plain,
! [X0,X1] :
( ~ sQ33_spl
| ~ sQ7_spl
| sK2_skl(sK11_skl(X1,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl)
| sP0_prd(sK10_skl(X1,sK5_skl),sK9_skl(X1,sK5_skl),sK8_skl(X1,sK5_skl),X1)
| ~ ordinal(sK5_skl)
| sK2_skl(sK11_skl(X1,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK5_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK5_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f368,f67]) ).
fof(f3973,plain,
! [X0,X1] :
( ~ sQ33_spl
| ~ sQ7_spl
| sK12_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl) = sK2_skl(sK11_skl(X1,sK5_skl))
| sP0_prd(sK10_skl(X1,sK5_skl),sK9_skl(X1,sK5_skl),sK8_skl(X1,sK5_skl),X1)
| ~ ordinal(sK5_skl)
| sK2_skl(sK11_skl(X1,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK5_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK5_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f368,f65]) ).
fof(f3976,definition,
! [X0,X1,X2] :
( sQ436_spl
<=> ( sP0_prd(sK10_skl(X1,sK5_skl),sK9_skl(X1,sK5_skl),sK8_skl(X1,sK5_skl),X1)
| sK8_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl)) = sK9_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl))
| sK2_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl))) = sK3_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl)))
| sK2_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl))) = sK13_skl(sK2_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl))),X2,sK13_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl))
| sK2_skl(sK11_skl(X1,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK5_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK5_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ436_spl])],[split_symbol_definition]) ).
fof(f3979,plain,
( ~ sQ33_spl
| ~ sQ7_spl
| ~ sQ3_spl
| sQ436_spl ),
inference(split_clause,[status(thm)],[f3970,f3976,f101,f136,f333]) ).
fof(f3980,definition,
! [X0,X1] :
( sQ437_spl
<=> ( in(sK13_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl),X1)
| sP0_prd(sK10_skl(X1,sK5_skl),sK9_skl(X1,sK5_skl),sK8_skl(X1,sK5_skl),X1)
| sK2_skl(sK11_skl(X1,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK5_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK5_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ437_spl])],[split_symbol_definition]) ).
fof(f3983,plain,
( ~ sQ33_spl
| ~ sQ7_spl
| ~ sQ3_spl
| sQ437_spl ),
inference(split_clause,[status(thm)],[f3971,f3980,f101,f136,f333]) ).
fof(f3984,definition,
! [X0,X1] :
( sQ438_spl
<=> ( sK2_skl(sK11_skl(X1,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl)
| sP0_prd(sK10_skl(X1,sK5_skl),sK9_skl(X1,sK5_skl),sK8_skl(X1,sK5_skl),X1)
| sK2_skl(sK11_skl(X1,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK5_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK5_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ438_spl])],[split_symbol_definition]) ).
fof(f3987,plain,
( ~ sQ33_spl
| ~ sQ7_spl
| ~ sQ3_spl
| sQ438_spl ),
inference(split_clause,[status(thm)],[f3972,f3984,f101,f136,f333]) ).
fof(f3988,definition,
! [X0,X1] :
( sQ439_spl
<=> ( sK12_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl) = sK2_skl(sK11_skl(X1,sK5_skl))
| sP0_prd(sK10_skl(X1,sK5_skl),sK9_skl(X1,sK5_skl),sK8_skl(X1,sK5_skl),X1)
| sK2_skl(sK11_skl(X1,sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK5_skl)),X1,sK5_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK5_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK5_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ439_spl])],[split_symbol_definition]) ).
fof(f3991,plain,
( ~ sQ33_spl
| ~ sQ7_spl
| ~ sQ3_spl
| sQ439_spl ),
inference(split_clause,[status(thm)],[f3973,f3988,f101,f136,f333]) ).
fof(f3996,plain,
! [X0,X1] :
( sK2_skl(sK11_skl(succ(X0),sK0_skl)) = sK3_skl(sK11_skl(succ(X0),sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),sK0_skl)),succ(X0),sK0_skl) = sK2_skl(sK11_skl(succ(X0),sK0_skl))
| ~ in(sK14_skl(sK10_skl(succ(X0),sK0_skl),sK9_skl(succ(X0),sK0_skl),sK8_skl(succ(X0),sK0_skl),succ(X0)),X1)
| ~ ordinal(sK9_skl(succ(X0),sK0_skl))
| in(sK14_skl(sK10_skl(succ(X0),sK0_skl),sK9_skl(succ(X0),sK0_skl),sK8_skl(succ(X0),sK0_skl),succ(X0)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK0_skl)) = sK3_skl(sK11_skl(succ(X0),sK0_skl))
| sK2_skl(sK11_skl(succ(X0),sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(succ(X0),sK0_skl)),succ(X0),sK0_skl)
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f529,f536]) ).
fof(f3997,plain,
! [X0,X1] :
( sK2_skl(sK11_skl(succ(X0),sK4_skl)) = sK3_skl(sK11_skl(succ(X0),sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),sK4_skl)),succ(X0),sK4_skl) = sK2_skl(sK11_skl(succ(X0),sK4_skl))
| ~ in(sK14_skl(sK10_skl(succ(X0),sK4_skl),sK9_skl(succ(X0),sK4_skl),sK8_skl(succ(X0),sK4_skl),succ(X0)),X1)
| ~ ordinal(sK9_skl(succ(X0),sK4_skl))
| in(sK14_skl(sK10_skl(succ(X0),sK4_skl),sK9_skl(succ(X0),sK4_skl),sK8_skl(succ(X0),sK4_skl),succ(X0)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK4_skl)) = sK3_skl(sK11_skl(succ(X0),sK4_skl))
| sK2_skl(sK11_skl(succ(X0),sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(succ(X0),sK4_skl)),succ(X0),sK4_skl)
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f526,f536]) ).
fof(f3998,plain,
! [X0,X1] :
( sK2_skl(sK11_skl(succ(X0),sK5_skl)) = sK3_skl(sK11_skl(succ(X0),sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),sK5_skl)),succ(X0),sK5_skl) = sK2_skl(sK11_skl(succ(X0),sK5_skl))
| ~ in(sK14_skl(sK10_skl(succ(X0),sK5_skl),sK9_skl(succ(X0),sK5_skl),sK8_skl(succ(X0),sK5_skl),succ(X0)),X1)
| ~ ordinal(sK9_skl(succ(X0),sK5_skl))
| in(sK14_skl(sK10_skl(succ(X0),sK5_skl),sK9_skl(succ(X0),sK5_skl),sK8_skl(succ(X0),sK5_skl),succ(X0)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK5_skl)) = sK3_skl(sK11_skl(succ(X0),sK5_skl))
| sK2_skl(sK11_skl(succ(X0),sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(succ(X0),sK5_skl)),succ(X0),sK5_skl)
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f525,f536]) ).
fof(f3999,plain,
! [X0,X1] :
( ~ sQ5_spl
| sK2_skl(sK11_skl(succ(X0),sK6_skl)) = sK3_skl(sK11_skl(succ(X0),sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),sK6_skl)),succ(X0),sK6_skl) = sK2_skl(sK11_skl(succ(X0),sK6_skl))
| ~ in(sK14_skl(sK10_skl(succ(X0),sK6_skl),sK9_skl(succ(X0),sK6_skl),sK8_skl(succ(X0),sK6_skl),succ(X0)),X1)
| ~ ordinal(sK9_skl(succ(X0),sK6_skl))
| in(sK14_skl(sK10_skl(succ(X0),sK6_skl),sK9_skl(succ(X0),sK6_skl),sK8_skl(succ(X0),sK6_skl),succ(X0)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK6_skl)) = sK3_skl(sK11_skl(succ(X0),sK6_skl))
| sK2_skl(sK11_skl(succ(X0),sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(succ(X0),sK6_skl)),succ(X0),sK6_skl)
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f524,f536]) ).
fof(f4001,definition,
! [X0,X1] :
( sQ440_spl
<=> ( sK2_skl(sK11_skl(succ(X0),sK0_skl)) = sK3_skl(sK11_skl(succ(X0),sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),sK0_skl)),succ(X0),sK0_skl) = sK2_skl(sK11_skl(succ(X0),sK0_skl))
| ~ in(sK14_skl(sK10_skl(succ(X0),sK0_skl),sK9_skl(succ(X0),sK0_skl),sK8_skl(succ(X0),sK0_skl),succ(X0)),X1)
| ~ ordinal(sK9_skl(succ(X0),sK0_skl))
| in(sK14_skl(sK10_skl(succ(X0),sK0_skl),sK9_skl(succ(X0),sK0_skl),sK8_skl(succ(X0),sK0_skl),succ(X0)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK0_skl)) = sK3_skl(sK11_skl(succ(X0),sK0_skl))
| sK2_skl(sK11_skl(succ(X0),sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(succ(X0),sK0_skl)),succ(X0),sK0_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ440_spl])],[split_symbol_definition]) ).
fof(f4004,plain,
( sQ440_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f3996,f133,f4001]) ).
fof(f4005,definition,
! [X0,X1] :
( sQ441_spl
<=> ( sK2_skl(sK11_skl(succ(X0),sK4_skl)) = sK3_skl(sK11_skl(succ(X0),sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),sK4_skl)),succ(X0),sK4_skl) = sK2_skl(sK11_skl(succ(X0),sK4_skl))
| ~ in(sK14_skl(sK10_skl(succ(X0),sK4_skl),sK9_skl(succ(X0),sK4_skl),sK8_skl(succ(X0),sK4_skl),succ(X0)),X1)
| ~ ordinal(sK9_skl(succ(X0),sK4_skl))
| in(sK14_skl(sK10_skl(succ(X0),sK4_skl),sK9_skl(succ(X0),sK4_skl),sK8_skl(succ(X0),sK4_skl),succ(X0)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK4_skl)) = sK3_skl(sK11_skl(succ(X0),sK4_skl))
| sK2_skl(sK11_skl(succ(X0),sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(succ(X0),sK4_skl)),succ(X0),sK4_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ441_spl])],[split_symbol_definition]) ).
fof(f4008,plain,
( sQ441_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f3997,f93,f4005]) ).
fof(f4009,definition,
! [X0,X1] :
( sQ442_spl
<=> ( sK2_skl(sK11_skl(succ(X0),sK5_skl)) = sK3_skl(sK11_skl(succ(X0),sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),sK5_skl)),succ(X0),sK5_skl) = sK2_skl(sK11_skl(succ(X0),sK5_skl))
| ~ in(sK14_skl(sK10_skl(succ(X0),sK5_skl),sK9_skl(succ(X0),sK5_skl),sK8_skl(succ(X0),sK5_skl),succ(X0)),X1)
| ~ ordinal(sK9_skl(succ(X0),sK5_skl))
| in(sK14_skl(sK10_skl(succ(X0),sK5_skl),sK9_skl(succ(X0),sK5_skl),sK8_skl(succ(X0),sK5_skl),succ(X0)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK5_skl)) = sK3_skl(sK11_skl(succ(X0),sK5_skl))
| sK2_skl(sK11_skl(succ(X0),sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(succ(X0),sK5_skl)),succ(X0),sK5_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ442_spl])],[split_symbol_definition]) ).
fof(f4012,plain,
( sQ442_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f3998,f101,f4009]) ).
fof(f4013,definition,
! [X0,X1] :
( sQ443_spl
<=> ( sK2_skl(sK11_skl(succ(X0),sK6_skl)) = sK3_skl(sK11_skl(succ(X0),sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(succ(X0),sK6_skl)),succ(X0),sK6_skl) = sK2_skl(sK11_skl(succ(X0),sK6_skl))
| ~ in(sK14_skl(sK10_skl(succ(X0),sK6_skl),sK9_skl(succ(X0),sK6_skl),sK8_skl(succ(X0),sK6_skl),succ(X0)),X1)
| ~ ordinal(sK9_skl(succ(X0),sK6_skl))
| in(sK14_skl(sK10_skl(succ(X0),sK6_skl),sK9_skl(succ(X0),sK6_skl),sK8_skl(succ(X0),sK6_skl),succ(X0)),sK11_skl(X1,X0))
| sP0_prd(sK10_skl(X1,X0),sK9_skl(X1,X0),sK8_skl(X1,X0),X1)
| ~ ordinal(X0)
| sK2_skl(sK11_skl(succ(X0),sK6_skl)) = sK3_skl(sK11_skl(succ(X0),sK6_skl))
| sK2_skl(sK11_skl(succ(X0),sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(succ(X0),sK6_skl)),succ(X0),sK6_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ443_spl])],[split_symbol_definition]) ).
fof(f4016,plain,
( sQ443_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f3999,f116,f4013]) ).
fof(f4027,plain,
! [X0,X1] :
( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl) = sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl))
| in(sK13_skl(sK9_skl(sK11_skl(X0,X1),sK0_skl),X0,X1),X0)
| sP0_prd(sK10_skl(X0,X1),sK9_skl(X0,X1),sK8_skl(X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl)
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f529,f537]) ).
fof(f4028,plain,
! [X0,X1] :
( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl) = sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl))
| in(sK13_skl(sK9_skl(sK11_skl(X0,X1),sK4_skl),X0,X1),X0)
| sP0_prd(sK10_skl(X0,X1),sK9_skl(X0,X1),sK8_skl(X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl)
| ~ ordinal(sK4_skl) ),
inference(paramodulation,[status(thm)],[f526,f537]) ).
fof(f4029,plain,
! [X0,X1] :
( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl) = sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl))
| in(sK13_skl(sK9_skl(sK11_skl(X0,X1),sK5_skl),X0,X1),X0)
| sP0_prd(sK10_skl(X0,X1),sK9_skl(X0,X1),sK8_skl(X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl)
| ~ ordinal(sK5_skl) ),
inference(paramodulation,[status(thm)],[f525,f537]) ).
fof(f4030,plain,
! [X0,X1] :
( ~ sQ5_spl
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl) = sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl))
| in(sK13_skl(sK9_skl(sK11_skl(X0,X1),sK6_skl),X0,X1),X0)
| sP0_prd(sK10_skl(X0,X1),sK9_skl(X0,X1),sK8_skl(X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl)
| ~ ordinal(sK6_skl) ),
inference(paramodulation,[status(thm)],[f524,f537]) ).
fof(f4031,definition,
! [X0,X1] :
( sQ444_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl) = sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl))
| in(sK13_skl(sK9_skl(sK11_skl(X0,X1),sK0_skl),X0,X1),X0)
| sP0_prd(sK10_skl(X0,X1),sK9_skl(X0,X1),sK8_skl(X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK0_skl)),sK11_skl(X0,X1),sK0_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ444_spl])],[split_symbol_definition]) ).
fof(f4034,plain,
( sQ444_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f4027,f133,f4031]) ).
fof(f4035,definition,
! [X0,X1] :
( sQ445_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl) = sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl))
| in(sK13_skl(sK9_skl(sK11_skl(X0,X1),sK4_skl),X0,X1),X0)
| sP0_prd(sK10_skl(X0,X1),sK9_skl(X0,X1),sK8_skl(X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK4_skl)),sK11_skl(X0,X1),sK4_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ445_spl])],[split_symbol_definition]) ).
fof(f4038,plain,
( sQ445_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f4028,f93,f4035]) ).
fof(f4039,definition,
! [X0,X1] :
( sQ446_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl) = sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl))
| in(sK13_skl(sK9_skl(sK11_skl(X0,X1),sK5_skl),X0,X1),X0)
| sP0_prd(sK10_skl(X0,X1),sK9_skl(X0,X1),sK8_skl(X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK5_skl)),sK11_skl(X0,X1),sK5_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ446_spl])],[split_symbol_definition]) ).
fof(f4042,plain,
( sQ446_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f4029,f101,f4039]) ).
fof(f4043,definition,
! [X0,X1] :
( sQ447_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl) = sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl))
| in(sK13_skl(sK9_skl(sK11_skl(X0,X1),sK6_skl),X0,X1),X0)
| sP0_prd(sK10_skl(X0,X1),sK9_skl(X0,X1),sK8_skl(X0,X1),X0)
| ~ ordinal(X1)
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK3_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl))
| sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(X0,X1),sK6_skl)),sK11_skl(X0,X1),sK6_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ447_spl])],[split_symbol_definition]) ).
fof(f4046,plain,
( sQ447_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f4030,f116,f4043]) ).
fof(f4063,plain,
! [X0,X1,X2] :
( ~ sQ38_spl
| ~ sQ7_spl
| sP0_prd(sK10_skl(X1,sK4_skl),sK9_skl(X1,sK4_skl),sK8_skl(X1,sK4_skl),X1)
| ~ ordinal(sK4_skl)
| sK8_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl)) = sK9_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl))
| sK2_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl))) = sK3_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl)))
| sK2_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl))),X2,sK13_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl))
| sK2_skl(sK11_skl(X1,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK4_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK4_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f408,f160]) ).
fof(f4064,plain,
! [X0,X1] :
( ~ sQ38_spl
| ~ sQ7_spl
| in(sK13_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl),X1)
| sP0_prd(sK10_skl(X1,sK4_skl),sK9_skl(X1,sK4_skl),sK8_skl(X1,sK4_skl),X1)
| ~ ordinal(sK4_skl)
| sK2_skl(sK11_skl(X1,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK4_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK4_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f408,f68]) ).
fof(f4065,plain,
! [X0,X1] :
( ~ sQ38_spl
| ~ sQ7_spl
| sK2_skl(sK11_skl(X1,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl)
| sP0_prd(sK10_skl(X1,sK4_skl),sK9_skl(X1,sK4_skl),sK8_skl(X1,sK4_skl),X1)
| ~ ordinal(sK4_skl)
| sK2_skl(sK11_skl(X1,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK4_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK4_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f408,f67]) ).
fof(f4066,plain,
! [X0,X1] :
( ~ sQ38_spl
| ~ sQ7_spl
| sK12_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl) = sK2_skl(sK11_skl(X1,sK4_skl))
| sP0_prd(sK10_skl(X1,sK4_skl),sK9_skl(X1,sK4_skl),sK8_skl(X1,sK4_skl),X1)
| ~ ordinal(sK4_skl)
| sK2_skl(sK11_skl(X1,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK4_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK4_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f408,f65]) ).
fof(f4069,definition,
! [X0,X1,X2] :
( sQ448_spl
<=> ( sP0_prd(sK10_skl(X1,sK4_skl),sK9_skl(X1,sK4_skl),sK8_skl(X1,sK4_skl),X1)
| sK8_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl)) = sK9_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl))
| sK2_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl))) = sK3_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl)))
| sK2_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl))) = sK13_skl(sK2_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl))),X2,sK13_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl))
| sK2_skl(sK11_skl(X1,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK4_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK4_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ448_spl])],[split_symbol_definition]) ).
fof(f4072,plain,
( ~ sQ38_spl
| ~ sQ7_spl
| ~ sQ1_spl
| sQ448_spl ),
inference(split_clause,[status(thm)],[f4063,f4069,f93,f136,f373]) ).
fof(f4073,definition,
! [X0,X1] :
( sQ449_spl
<=> ( in(sK13_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl),X1)
| sP0_prd(sK10_skl(X1,sK4_skl),sK9_skl(X1,sK4_skl),sK8_skl(X1,sK4_skl),X1)
| sK2_skl(sK11_skl(X1,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK4_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK4_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ449_spl])],[split_symbol_definition]) ).
fof(f4076,plain,
( ~ sQ38_spl
| ~ sQ7_spl
| ~ sQ1_spl
| sQ449_spl ),
inference(split_clause,[status(thm)],[f4064,f4073,f93,f136,f373]) ).
fof(f4077,definition,
! [X0,X1] :
( sQ450_spl
<=> ( sK2_skl(sK11_skl(X1,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl)
| sP0_prd(sK10_skl(X1,sK4_skl),sK9_skl(X1,sK4_skl),sK8_skl(X1,sK4_skl),X1)
| sK2_skl(sK11_skl(X1,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK4_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK4_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ450_spl])],[split_symbol_definition]) ).
fof(f4080,plain,
( ~ sQ38_spl
| ~ sQ7_spl
| ~ sQ1_spl
| sQ450_spl ),
inference(split_clause,[status(thm)],[f4065,f4077,f93,f136,f373]) ).
fof(f4081,definition,
! [X0,X1] :
( sQ451_spl
<=> ( sK12_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl) = sK2_skl(sK11_skl(X1,sK4_skl))
| sP0_prd(sK10_skl(X1,sK4_skl),sK9_skl(X1,sK4_skl),sK8_skl(X1,sK4_skl),X1)
| sK2_skl(sK11_skl(X1,sK4_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK4_skl)),X1,sK4_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK4_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK4_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ451_spl])],[split_symbol_definition]) ).
fof(f4084,plain,
( ~ sQ38_spl
| ~ sQ7_spl
| ~ sQ1_spl
| sQ451_spl ),
inference(split_clause,[status(thm)],[f4066,f4081,f93,f136,f373]) ).
fof(f4087,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ7_spl
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| ~ ordinal(sK0_skl)
| sK8_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl)) = sK9_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl))
| sK2_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl))) = sK3_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl)))
| sK2_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl))),X2,sK13_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl))
| sK2_skl(sK11_skl(X1,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK0_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK0_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f448,f160]) ).
fof(f4088,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ7_spl
| in(sK13_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl),X1)
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(X1,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK0_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK0_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f448,f68]) ).
fof(f4089,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ7_spl
| sK2_skl(sK11_skl(X1,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl)
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(X1,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK0_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK0_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f448,f67]) ).
fof(f4090,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ7_spl
| sK12_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl) = sK2_skl(sK11_skl(X1,sK0_skl))
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(X1,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK0_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK0_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(resolution,[status(thm)],[f448,f65]) ).
fof(f4093,definition,
! [X0,X1,X2] :
( sQ452_spl
<=> ( sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| sK8_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl)) = sK9_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl))
| sK2_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl))) = sK3_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl)))
| sK2_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X2,sK13_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl))),X2,sK13_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl))
| sK2_skl(sK11_skl(X1,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK0_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK0_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ452_spl])],[split_symbol_definition]) ).
fof(f4096,plain,
( ~ sQ43_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sQ452_spl ),
inference(split_clause,[status(thm)],[f4087,f4093,f133,f136,f413]) ).
fof(f4097,definition,
! [X0,X1] :
( sQ453_spl
<=> ( in(sK13_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl),X1)
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| sK2_skl(sK11_skl(X1,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK0_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK0_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ453_spl])],[split_symbol_definition]) ).
fof(f4100,plain,
( ~ sQ43_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sQ453_spl ),
inference(split_clause,[status(thm)],[f4088,f4097,f133,f136,f413]) ).
fof(f4101,definition,
! [X0,X1] :
( sQ454_spl
<=> ( sK2_skl(sK11_skl(X1,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl)
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| sK2_skl(sK11_skl(X1,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK0_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK0_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ454_spl])],[split_symbol_definition]) ).
fof(f4104,plain,
( ~ sQ43_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sQ454_spl ),
inference(split_clause,[status(thm)],[f4089,f4101,f133,f136,f413]) ).
fof(f4105,definition,
! [X0,X1] :
( sQ455_spl
<=> ( sK12_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl) = sK2_skl(sK11_skl(X1,sK0_skl))
| sP0_prd(sK10_skl(X1,sK0_skl),sK9_skl(X1,sK0_skl),sK8_skl(X1,sK0_skl),X1)
| sK2_skl(sK11_skl(X1,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(X1,sK0_skl)),X1,sK0_skl)
| ~ in(sK2_skl(sK11_skl(X1,sK0_skl)),X0)
| in(sK2_skl(sK11_skl(X1,sK0_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ455_spl])],[split_symbol_definition]) ).
fof(f4108,plain,
( ~ sQ43_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sQ455_spl ),
inference(split_clause,[status(thm)],[f4090,f4105,f133,f136,f413]) ).
fof(f4111,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ48_spl
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| in(sK2_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl))
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(succ(sK0_skl),sK0_skl))
| sP0_prd(sK10_skl(succ(sK0_skl),sK0_skl),sK9_skl(succ(sK0_skl),sK0_skl),sK8_skl(succ(sK0_skl),sK0_skl),succ(sK0_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| in(sK2_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl)) ),
inference(resolution,[status(thm)],[f484,f308]) ).
fof(f4112,plain,
! [X0] :
( ~ sQ48_spl
| in(sK2_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl))
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(sK1_skl,sK0_skl))
| sP0_prd(sK10_skl(sK1_skl,sK0_skl),sK9_skl(sK1_skl,sK0_skl),sK8_skl(sK1_skl,sK0_skl),sK1_skl)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| in(sK2_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl)) ),
inference(resolution,[status(thm)],[f484,f24]) ).
fof(f4113,definition,
! [X0] :
( sQ456_spl
<=> ( sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| in(sK2_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl))
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(succ(sK0_skl),sK0_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| in(sK2_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ456_spl])],[split_symbol_definition]) ).
fof(f4116,definition,
( sQ457_spl
<=> sP0_prd(sK10_skl(succ(sK0_skl),sK0_skl),sK9_skl(succ(sK0_skl),sK0_skl),sK8_skl(succ(sK0_skl),sK0_skl),succ(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ457_spl])],[split_symbol_definition]) ).
fof(f4119,plain,
( ~ sQ28_spl
| ~ sQ48_spl
| sQ457_spl
| sQ456_spl ),
inference(split_clause,[status(thm)],[f4111,f4113,f4116,f480,f290]) ).
fof(f4120,definition,
! [X0] :
( sQ458_spl
<=> ( in(sK2_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl))
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| in(sK2_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ458_spl])],[split_symbol_definition]) ).
fof(f4121,plain,
! [X0] :
( ~ sQ458_spl
| in(sK2_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl))
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| in(sK2_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl)) ),
inference(component_clause,[status(thm)],[f4120]) ).
fof(f4123,definition,
( sQ459_spl
<=> sP0_prd(sK10_skl(sK1_skl,sK0_skl),sK9_skl(sK1_skl,sK0_skl),sK8_skl(sK1_skl,sK0_skl),sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ459_spl])],[split_symbol_definition]) ).
fof(f4124,plain,
( ~ sQ459_spl
| sP0_prd(sK10_skl(sK1_skl,sK0_skl),sK9_skl(sK1_skl,sK0_skl),sK8_skl(sK1_skl,sK0_skl),sK1_skl) ),
inference(component_clause,[status(thm)],[f4123]) ).
fof(f4125,plain,
( sQ459_spl
| ~ sP0_prd(sK10_skl(sK1_skl,sK0_skl),sK9_skl(sK1_skl,sK0_skl),sK8_skl(sK1_skl,sK0_skl),sK1_skl) ),
inference(component_clause,[status(thm)],[f4123]) ).
fof(f4126,plain,
( ~ sQ48_spl
| sQ459_spl
| sQ458_spl ),
inference(split_clause,[status(thm)],[f4112,f4120,f4123,f480]) ).
fof(f4128,plain,
! [X0] :
( ~ sQ458_spl
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| in(sK2_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl)) ),
inference(duplicate_literals_removal,[status(thm)],[f4121]) ).
fof(f4129,plain,
! [X0,X1] :
( ~ sQ458_spl
| sP0_prd(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0)
| ~ ordinal(sK6_skl)
| sK8_skl(X1,sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)) = sK9_skl(X1,sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl))
| sK2_skl(sK11_skl(X1,sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl))) = sK3_skl(sK11_skl(X1,sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)))
| sK2_skl(sK11_skl(X1,sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(X1,sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl))),X1,sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl))
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) ),
inference(resolution,[status(thm)],[f4128,f160]) ).
fof(f4130,plain,
! [X0] :
( ~ sQ458_spl
| in(sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl),X0)
| sP0_prd(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0)
| ~ ordinal(sK6_skl)
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) ),
inference(resolution,[status(thm)],[f4128,f68]) ).
fof(f4131,plain,
! [X0] :
( ~ sQ458_spl
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| sP0_prd(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0)
| ~ ordinal(sK6_skl)
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) ),
inference(resolution,[status(thm)],[f4128,f67]) ).
fof(f4132,plain,
! [X0] :
( ~ sQ458_spl
| sK12_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) = sK2_skl(sK11_skl(X0,sK6_skl))
| sP0_prd(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0)
| ~ ordinal(sK6_skl)
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) ),
inference(resolution,[status(thm)],[f4128,f65]) ).
fof(f4134,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ458_spl
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl)) ),
inference(paramodulation,[status(thm)],[f299,f4128]) ).
fof(f4135,definition,
! [X0,X1] :
( sQ460_spl
<=> ( sP0_prd(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0)
| sK8_skl(X1,sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)) = sK9_skl(X1,sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl))
| sK2_skl(sK11_skl(X1,sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl))) = sK3_skl(sK11_skl(X1,sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)))
| sK2_skl(sK11_skl(X1,sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl))) = sK13_skl(sK2_skl(sK11_skl(X1,sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl))),X1,sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl))
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ460_spl])],[split_symbol_definition]) ).
fof(f4138,plain,
( ~ sQ458_spl
| ~ sQ5_spl
| sQ460_spl ),
inference(split_clause,[status(thm)],[f4129,f4135,f116,f4120]) ).
fof(f4139,definition,
! [X0] :
( sQ461_spl
<=> ( in(sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl),X0)
| sP0_prd(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0)
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ461_spl])],[split_symbol_definition]) ).
fof(f4142,plain,
( ~ sQ458_spl
| ~ sQ5_spl
| sQ461_spl ),
inference(split_clause,[status(thm)],[f4130,f4139,f116,f4120]) ).
fof(f4143,definition,
! [X0] :
( sQ462_spl
<=> ( sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| sP0_prd(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0)
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ462_spl])],[split_symbol_definition]) ).
fof(f4146,plain,
( ~ sQ458_spl
| ~ sQ5_spl
| sQ462_spl ),
inference(split_clause,[status(thm)],[f4131,f4143,f116,f4120]) ).
fof(f4147,definition,
! [X0] :
( sQ463_spl
<=> ( sK12_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) = sK2_skl(sK11_skl(X0,sK6_skl))
| sP0_prd(sK10_skl(X0,sK6_skl),sK9_skl(X0,sK6_skl),sK8_skl(X0,sK6_skl),X0)
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ463_spl])],[split_symbol_definition]) ).
fof(f4150,plain,
( ~ sQ458_spl
| ~ sQ5_spl
| sQ463_spl ),
inference(split_clause,[status(thm)],[f4132,f4147,f116,f4120]) ).
fof(f4151,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ458_spl
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl)) ),
inference(duplicate_literals_removal,[status(thm)],[f4134]) ).
fof(f4167,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ28_spl
| ~ sQ458_spl
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(sK11_skl(sK1_skl,sK0_skl),sK0_skl))
| sP0_prd(sK10_skl(sK11_skl(sK1_skl,sK0_skl),sK0_skl),sK9_skl(sK11_skl(sK1_skl,sK0_skl),sK0_skl),sK8_skl(sK11_skl(sK1_skl,sK0_skl),sK0_skl),sK11_skl(sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| in(sK2_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl)) ),
inference(resolution,[status(thm)],[f4151,f484]) ).
fof(f4168,plain,
! [X0,X1] :
( ~ sQ28_spl
| ~ sQ458_spl
| sP0_prd(sK10_skl(sK1_skl,sK0_skl),sK9_skl(sK1_skl,sK0_skl),sK8_skl(sK1_skl,sK0_skl),sK1_skl)
| ~ ordinal(sK0_skl)
| sK8_skl(X1,sK13_skl(sK3_skl(sK11_skl(X0,sK6_skl)),sK1_skl,sK0_skl)) = sK9_skl(X1,sK13_skl(sK3_skl(sK11_skl(X0,sK6_skl)),sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X1,sK13_skl(sK3_skl(sK11_skl(X0,sK6_skl)),sK1_skl,sK0_skl))) = sK3_skl(sK11_skl(X1,sK13_skl(sK3_skl(sK11_skl(X0,sK6_skl)),sK1_skl,sK0_skl)))
| sK2_skl(sK11_skl(X1,sK13_skl(sK3_skl(sK11_skl(X0,sK6_skl)),sK1_skl,sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X1,sK13_skl(sK3_skl(sK11_skl(X0,sK6_skl)),sK1_skl,sK0_skl))),X1,sK13_skl(sK3_skl(sK11_skl(X0,sK6_skl)),sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl)) ),
inference(resolution,[status(thm)],[f4151,f160]) ).
fof(f4169,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ458_spl
| in(sK13_skl(sK3_skl(sK11_skl(X0,sK6_skl)),sK1_skl,sK0_skl),sK1_skl)
| sP0_prd(sK10_skl(sK1_skl,sK0_skl),sK9_skl(sK1_skl,sK0_skl),sK8_skl(sK1_skl,sK0_skl),sK1_skl)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl)) ),
inference(resolution,[status(thm)],[f4151,f68]) ).
fof(f4170,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ458_spl
| sK3_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK3_skl(sK11_skl(X0,sK6_skl)),sK1_skl,sK0_skl)
| sP0_prd(sK10_skl(sK1_skl,sK0_skl),sK9_skl(sK1_skl,sK0_skl),sK8_skl(sK1_skl,sK0_skl),sK1_skl)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl)) ),
inference(resolution,[status(thm)],[f4151,f67]) ).
fof(f4171,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ458_spl
| sK12_skl(sK3_skl(sK11_skl(X0,sK6_skl)),sK1_skl,sK0_skl) = sK3_skl(sK11_skl(X0,sK6_skl))
| sP0_prd(sK10_skl(sK1_skl,sK0_skl),sK9_skl(sK1_skl,sK0_skl),sK8_skl(sK1_skl,sK0_skl),sK1_skl)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl)) ),
inference(resolution,[status(thm)],[f4151,f65]) ).
fof(f4173,definition,
! [X0] :
( sQ464_spl
<=> ( in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(sK11_skl(sK1_skl,sK0_skl),sK0_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| in(sK2_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ464_spl])],[split_symbol_definition]) ).
fof(f4176,definition,
( sQ465_spl
<=> sP0_prd(sK10_skl(sK11_skl(sK1_skl,sK0_skl),sK0_skl),sK9_skl(sK11_skl(sK1_skl,sK0_skl),sK0_skl),sK8_skl(sK11_skl(sK1_skl,sK0_skl),sK0_skl),sK11_skl(sK1_skl,sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ465_spl])],[split_symbol_definition]) ).
fof(f4179,plain,
( ~ sQ48_spl
| ~ sQ28_spl
| ~ sQ458_spl
| sQ465_spl
| sQ464_spl ),
inference(split_clause,[status(thm)],[f4167,f4173,f4176,f4120,f290,f480]) ).
fof(f4180,definition,
! [X0,X1] :
( sQ466_spl
<=> ( sK8_skl(X1,sK13_skl(sK3_skl(sK11_skl(X0,sK6_skl)),sK1_skl,sK0_skl)) = sK9_skl(X1,sK13_skl(sK3_skl(sK11_skl(X0,sK6_skl)),sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X1,sK13_skl(sK3_skl(sK11_skl(X0,sK6_skl)),sK1_skl,sK0_skl))) = sK3_skl(sK11_skl(X1,sK13_skl(sK3_skl(sK11_skl(X0,sK6_skl)),sK1_skl,sK0_skl)))
| sK2_skl(sK11_skl(X1,sK13_skl(sK3_skl(sK11_skl(X0,sK6_skl)),sK1_skl,sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X1,sK13_skl(sK3_skl(sK11_skl(X0,sK6_skl)),sK1_skl,sK0_skl))),X1,sK13_skl(sK3_skl(sK11_skl(X0,sK6_skl)),sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ466_spl])],[split_symbol_definition]) ).
fof(f4183,plain,
( ~ sQ28_spl
| ~ sQ458_spl
| sQ459_spl
| ~ sQ6_spl
| sQ466_spl ),
inference(split_clause,[status(thm)],[f4168,f4180,f133,f4123,f4120,f290]) ).
fof(f4184,definition,
! [X0] :
( sQ467_spl
<=> ( in(sK13_skl(sK3_skl(sK11_skl(X0,sK6_skl)),sK1_skl,sK0_skl),sK1_skl)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ467_spl])],[split_symbol_definition]) ).
fof(f4187,plain,
( ~ sQ28_spl
| ~ sQ458_spl
| sQ459_spl
| ~ sQ6_spl
| sQ467_spl ),
inference(split_clause,[status(thm)],[f4169,f4184,f133,f4123,f4120,f290]) ).
fof(f4188,definition,
! [X0] :
( sQ468_spl
<=> ( sK3_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK3_skl(sK11_skl(X0,sK6_skl)),sK1_skl,sK0_skl)
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ468_spl])],[split_symbol_definition]) ).
fof(f4191,plain,
( ~ sQ28_spl
| ~ sQ458_spl
| sQ459_spl
| ~ sQ6_spl
| sQ468_spl ),
inference(split_clause,[status(thm)],[f4170,f4188,f133,f4123,f4120,f290]) ).
fof(f4192,definition,
! [X0] :
( sQ469_spl
<=> ( sK12_skl(sK3_skl(sK11_skl(X0,sK6_skl)),sK1_skl,sK0_skl) = sK3_skl(sK11_skl(X0,sK6_skl))
| sK2_skl(sK11_skl(X0,sK6_skl)) = sK13_skl(sK2_skl(sK11_skl(X0,sK6_skl)),X0,sK6_skl)
| in(sK3_skl(sK11_skl(X0,sK6_skl)),sK11_skl(X0,sK6_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ469_spl])],[split_symbol_definition]) ).
fof(f4195,plain,
( ~ sQ28_spl
| ~ sQ458_spl
| sQ459_spl
| ~ sQ6_spl
| sQ469_spl ),
inference(split_clause,[status(thm)],[f4171,f4192,f133,f4123,f4120,f290]) ).
fof(f4207,plain,
( ~ sQ459_spl
| sK8_skl(sK1_skl,sK0_skl) = sK10_skl(sK1_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f4124,f77]) ).
fof(f4208,plain,
( ~ sQ459_spl
| sK8_skl(sK1_skl,sK0_skl) = sK9_skl(sK1_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f4124,f73]) ).
fof(f4209,plain,
( ~ sQ459_spl
| sP0_prd(sK10_skl(sK1_skl,sK0_skl),sK9_skl(sK1_skl,sK0_skl),sK10_skl(sK1_skl,sK0_skl),sK1_skl) ),
inference(backward_demodulation,[status(thm)],[f4207,f4124]) ).
fof(f4247,definition,
( sQ470_spl
<=> sK12_skl(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl) = sK2_skl(sK11_skl(sK1_skl,sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ470_spl])],[split_symbol_definition]) ).
fof(f4248,plain,
( ~ sQ470_spl
| sK12_skl(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl) = sK2_skl(sK11_skl(sK1_skl,sK0_skl)) ),
inference(component_clause,[status(thm)],[f4247]) ).
fof(f4250,definition,
( sQ471_spl
<=> sK2_skl(sK11_skl(sK1_skl,sK0_skl)) = sK3_skl(sK11_skl(sK1_skl,sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ471_spl])],[split_symbol_definition]) ).
fof(f4251,plain,
( ~ sQ471_spl
| sK2_skl(sK11_skl(sK1_skl,sK0_skl)) = sK3_skl(sK11_skl(sK1_skl,sK0_skl)) ),
inference(component_clause,[status(thm)],[f4250]) ).
fof(f4257,definition,
! [X0] :
( sQ473_spl
<=> ( sK12_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl) = sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0)
| ~ ordinal(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ473_spl])],[split_symbol_definition]) ).
fof(f4264,definition,
! [X0] :
( sQ475_spl
<=> ( sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)) = sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0)
| ~ ordinal(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ475_spl])],[split_symbol_definition]) ).
fof(f4268,definition,
! [X0] :
( sQ476_spl
<=> ( sK12_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl) = sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0)
| ~ ordinal(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ476_spl])],[split_symbol_definition]) ).
fof(f4272,definition,
! [X0] :
( sQ477_spl
<=> ( sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)) = sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0)
| ~ ordinal(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ477_spl])],[split_symbol_definition]) ).
fof(f4276,definition,
! [X0,X1] :
( sQ478_spl
<=> ( ~ in(X1,sK11_skl(sK1_skl,sK0_skl))
| sK9_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)) = sK14_skl(sK10_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)),sK9_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)),sK8_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)),X0)
| sK2_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl))) = sK3_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)))
| sK12_skl(sK2_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl))),X0,sK13_skl(X1,sK1_skl,sK0_skl)) = sK2_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ478_spl])],[split_symbol_definition]) ).
fof(f4280,definition,
! [X0,X1] :
( sQ479_spl
<=> ( ~ in(X1,sK11_skl(sK1_skl,sK0_skl))
| sK10_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)) = sK15_skl(sK10_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)),sK9_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)),sK8_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)),X0)
| sK2_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl))) = sK3_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)))
| sK12_skl(sK2_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl))),X0,sK13_skl(X1,sK1_skl,sK0_skl)) = sK2_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ479_spl])],[split_symbol_definition]) ).
fof(f4284,definition,
! [X0] :
( sQ480_spl
<=> ( sK12_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl) = sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0) = sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ480_spl])],[split_symbol_definition]) ).
fof(f4288,definition,
! [X0] :
( sQ481_spl
<=> ( sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)) = sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0) = sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ481_spl])],[split_symbol_definition]) ).
fof(f4292,definition,
! [X0] :
( sQ482_spl
<=> ( in(sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl),sK1_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0) = sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ482_spl])],[split_symbol_definition]) ).
fof(f4296,definition,
! [X0] :
( sQ483_spl
<=> ( sK12_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl) = sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0) = sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ483_spl])],[split_symbol_definition]) ).
fof(f4300,definition,
! [X0] :
( sQ484_spl
<=> ( sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)) = sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0) = sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ484_spl])],[split_symbol_definition]) ).
fof(f4304,definition,
! [X0] :
( sQ485_spl
<=> ( sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0) = sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0)
| sK12_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0),sK1_skl,sK0_skl) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ485_spl])],[split_symbol_definition]) ).
fof(f4308,definition,
! [X0] :
( sQ486_spl
<=> ( sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0) = sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0)
| sK12_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0),sK1_skl,sK0_skl) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ486_spl])],[split_symbol_definition]) ).
fof(f4312,definition,
! [X0] :
( sQ487_spl
<=> ( sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0) = sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl))
| sK12_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0),sK1_skl,sK0_skl) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ487_spl])],[split_symbol_definition]) ).
fof(f4316,definition,
! [X0] :
( sQ488_spl
<=> ( sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0) = sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl))
| sK12_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0),sK1_skl,sK0_skl) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ488_spl])],[split_symbol_definition]) ).
fof(f4320,definition,
! [X0] :
( sQ489_spl
<=> ( in(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)),sK11_skl(sK1_skl,sK0_skl))
| sK12_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0),sK1_skl,sK0_skl) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ489_spl])],[split_symbol_definition]) ).
fof(f4324,definition,
! [X0] :
( sQ490_spl
<=> ( sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0) = sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0)
| sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0) = sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0),sK1_skl,sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ490_spl])],[split_symbol_definition]) ).
fof(f4328,definition,
! [X0] :
( sQ491_spl
<=> ( sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0) = sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0)
| sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0) = sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0),sK1_skl,sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ491_spl])],[split_symbol_definition]) ).
fof(f4332,definition,
! [X0] :
( sQ492_spl
<=> ( sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0) = sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl))
| sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0) = sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0),sK1_skl,sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ492_spl])],[split_symbol_definition]) ).
fof(f4336,definition,
! [X0] :
( sQ493_spl
<=> ( sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0) = sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl))
| sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0) = sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0),sK1_skl,sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ493_spl])],[split_symbol_definition]) ).
fof(f4340,definition,
! [X0] :
( sQ494_spl
<=> ( in(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)),sK11_skl(sK1_skl,sK0_skl))
| sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0) = sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0),sK1_skl,sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ494_spl])],[split_symbol_definition]) ).
fof(f4344,definition,
! [X0] :
( sQ495_spl
<=> ( sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0) = sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0)
| in(sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0),sK1_skl,sK0_skl),sK1_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ495_spl])],[split_symbol_definition]) ).
fof(f4348,definition,
! [X0] :
( sQ496_spl
<=> ( sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0) = sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0)
| in(sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0),sK1_skl,sK0_skl),sK1_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ496_spl])],[split_symbol_definition]) ).
fof(f4352,definition,
( sQ497_spl
<=> sK2_skl(sK11_skl(sK1_skl,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ497_spl])],[split_symbol_definition]) ).
fof(f4353,plain,
( ~ sQ497_spl
| sK2_skl(sK11_skl(sK1_skl,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f4352]) ).
fof(f4386,plain,
( ~ sQ459_spl
| sK10_skl(sK1_skl,sK0_skl) = sK9_skl(sK1_skl,sK0_skl) ),
inference(forward_demodulation,[status(thm)],[f4207,f4208]) ).
fof(f4498,plain,
( ~ sQ471_spl
| ~ sQ43_spl
| sK2_skl(sK11_skl(sK1_skl,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)
| sK3_skl(sK11_skl(sK1_skl,sK0_skl)) != sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl) ),
inference(paramodulation,[status(thm)],[f4251,f435]) ).
fof(f4515,plain,
! [X0] :
( ~ sQ471_spl
| ~ sQ7_spl
| in(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK11_skl(sK1_skl,sK0_skl))
| ~ in(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),X0)
| ~ ordinal(sK3_skl(sK11_skl(sK1_skl,sK0_skl)))
| in(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(paramodulation,[status(thm)],[f4251,f137]) ).
fof(f4517,plain,
( ~ sQ471_spl
| ~ in(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl)
| ~ ordinal(sK3_skl(sK11_skl(sK1_skl,sK0_skl)))
| ~ in(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),succ(sK0_skl))
| ~ in(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK11_skl(sK1_skl,sK0_skl)) ),
inference(paramodulation,[status(thm)],[f4251,f83]) ).
fof(f4526,definition,
! [X0] :
( sQ514_spl
<=> ( ~ in(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),X0)
| in(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ514_spl])],[split_symbol_definition]) ).
fof(f4527,plain,
! [X0] :
( ~ sQ514_spl
| ~ in(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),X0)
| in(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(component_clause,[status(thm)],[f4526]) ).
fof(f4529,definition,
( sQ515_spl
<=> in(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK11_skl(sK1_skl,sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ515_spl])],[split_symbol_definition]) ).
fof(f4530,plain,
( ~ sQ515_spl
| in(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK11_skl(sK1_skl,sK0_skl)) ),
inference(component_clause,[status(thm)],[f4529]) ).
fof(f4531,plain,
( sQ515_spl
| ~ in(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK11_skl(sK1_skl,sK0_skl)) ),
inference(component_clause,[status(thm)],[f4529]) ).
fof(f4533,definition,
( sQ516_spl
<=> in(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK11_skl(sK1_skl,sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ516_spl])],[split_symbol_definition]) ).
fof(f4534,plain,
( ~ sQ516_spl
| in(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK11_skl(sK1_skl,sK0_skl)) ),
inference(component_clause,[status(thm)],[f4533]) ).
fof(f4535,plain,
( sQ516_spl
| ~ in(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK11_skl(sK1_skl,sK0_skl)) ),
inference(component_clause,[status(thm)],[f4533]) ).
fof(f4536,definition,
( sQ517_spl
<=> in(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),succ(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ517_spl])],[split_symbol_definition]) ).
fof(f4539,definition,
( sQ518_spl
<=> ordinal(sK3_skl(sK11_skl(sK1_skl,sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ518_spl])],[split_symbol_definition]) ).
fof(f4541,plain,
( sQ518_spl
| ~ ordinal(sK3_skl(sK11_skl(sK1_skl,sK0_skl))) ),
inference(component_clause,[status(thm)],[f4539]) ).
fof(f4546,definition,
( sQ520_spl
<=> in(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),succ(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ520_spl])],[split_symbol_definition]) ).
fof(f4553,definition,
( sQ522_spl
<=> in(succ(sK0_skl),sK3_skl(sK11_skl(sK1_skl,sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ522_spl])],[split_symbol_definition]) ).
fof(f4561,definition,
( sQ524_spl
<=> sK3_skl(sK11_skl(sK1_skl,sK0_skl)) = sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ524_spl])],[split_symbol_definition]) ).
fof(f4564,plain,
( ~ sQ471_spl
| ~ sQ43_spl
| sQ497_spl
| ~ sQ524_spl ),
inference(split_clause,[status(thm)],[f4498,f4561,f4352,f413,f4250]) ).
fof(f4570,definition,
( sQ526_spl
<=> in(sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl),sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ526_spl])],[split_symbol_definition]) ).
fof(f4611,plain,
( ~ sQ471_spl
| ~ sQ7_spl
| sQ516_spl
| ~ sQ518_spl
| sQ514_spl ),
inference(split_clause,[status(thm)],[f4515,f4526,f4539,f4533,f136,f4250]) ).
fof(f4612,definition,
( sQ535_spl
<=> in(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ535_spl])],[split_symbol_definition]) ).
fof(f4614,plain,
( sQ535_spl
| ~ in(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl) ),
inference(component_clause,[status(thm)],[f4612]) ).
fof(f4616,plain,
( ~ sQ471_spl
| ~ sQ535_spl
| ~ sQ518_spl
| ~ sQ517_spl
| ~ sQ516_spl ),
inference(split_clause,[status(thm)],[f4517,f4533,f4536,f4539,f4612,f4250]) ).
fof(f4633,plain,
( sQ518_spl
| in(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK11_skl(sK1_skl,sK0_skl)) ),
inference(resolution,[status(thm)],[f4541,f22]) ).
fof(f4649,definition,
! [X0,X1] :
( sQ536_spl
<=> ( ~ in(X1,sK11_skl(sK1_skl,sK0_skl))
| sK10_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)) = sK15_skl(sK10_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)),sK9_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)),sK8_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)),X0)
| sK2_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl))) = sK3_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)))
| sK2_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl))),X0,sK13_skl(X1,sK1_skl,sK0_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ536_spl])],[split_symbol_definition]) ).
fof(f4711,plain,
! [X0] :
( ~ sQ515_spl
| sP0_prd(sK10_skl(sK1_skl,sK0_skl),sK9_skl(sK1_skl,sK0_skl),sK8_skl(sK1_skl,sK0_skl),sK1_skl)
| ~ ordinal(sK0_skl)
| sK8_skl(X0,sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)) = sK9_skl(X0,sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X0,sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))) = sK3_skl(sK11_skl(X0,sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)))
| sK2_skl(sK11_skl(X0,sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))),X0,sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)) ),
inference(resolution,[status(thm)],[f4530,f160]) ).
fof(f4712,plain,
( ~ sQ515_spl
| in(sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl),sK1_skl)
| sP0_prd(sK10_skl(sK1_skl,sK0_skl),sK9_skl(sK1_skl,sK0_skl),sK8_skl(sK1_skl,sK0_skl),sK1_skl)
| ~ ordinal(sK0_skl) ),
inference(resolution,[status(thm)],[f4530,f68]) ).
fof(f4713,plain,
( ~ sQ515_spl
| sK3_skl(sK11_skl(sK1_skl,sK0_skl)) = sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)
| sP0_prd(sK10_skl(sK1_skl,sK0_skl),sK9_skl(sK1_skl,sK0_skl),sK8_skl(sK1_skl,sK0_skl),sK1_skl)
| ~ ordinal(sK0_skl) ),
inference(resolution,[status(thm)],[f4530,f67]) ).
fof(f4714,plain,
( ~ sQ515_spl
| sK12_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl) = sK3_skl(sK11_skl(sK1_skl,sK0_skl))
| sP0_prd(sK10_skl(sK1_skl,sK0_skl),sK9_skl(sK1_skl,sK0_skl),sK8_skl(sK1_skl,sK0_skl),sK1_skl)
| ~ ordinal(sK0_skl) ),
inference(resolution,[status(thm)],[f4530,f65]) ).
fof(f4716,definition,
! [X0] :
( sQ537_spl
<=> ( sK8_skl(X0,sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)) = sK9_skl(X0,sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X0,sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))) = sK3_skl(sK11_skl(X0,sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)))
| sK2_skl(sK11_skl(X0,sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))),X0,sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ537_spl])],[split_symbol_definition]) ).
fof(f4719,plain,
( ~ sQ515_spl
| sQ459_spl
| ~ sQ6_spl
| sQ537_spl ),
inference(split_clause,[status(thm)],[f4711,f4716,f133,f4123,f4529]) ).
fof(f4720,plain,
( ~ sQ515_spl
| sQ526_spl
| sQ459_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f4712,f133,f4123,f4570,f4529]) ).
fof(f4721,plain,
( ~ sQ515_spl
| sQ524_spl
| sQ459_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f4713,f133,f4123,f4561,f4529]) ).
fof(f4722,definition,
( sQ538_spl
<=> sK12_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl) = sK3_skl(sK11_skl(sK1_skl,sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ538_spl])],[split_symbol_definition]) ).
fof(f4723,plain,
( ~ sQ538_spl
| sK12_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl) = sK3_skl(sK11_skl(sK1_skl,sK0_skl)) ),
inference(component_clause,[status(thm)],[f4722]) ).
fof(f4725,plain,
( ~ sQ515_spl
| sQ538_spl
| sQ459_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f4714,f133,f4123,f4722,f4529]) ).
fof(f4736,definition,
( sQ540_spl
<=> in(sK13_skl(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl),sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ540_spl])],[split_symbol_definition]) ).
fof(f4737,plain,
( ~ sQ540_spl
| in(sK13_skl(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl),sK1_skl) ),
inference(component_clause,[status(thm)],[f4736]) ).
fof(f4801,definition,
! [X0,X1] :
( sQ541_spl
<=> ( ~ in(X1,sK11_skl(sK1_skl,sK0_skl))
| sK9_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)) = sK14_skl(sK10_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)),sK9_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)),sK8_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)),X0)
| sK2_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl))) = sK3_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)))
| sK2_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl))),X0,sK13_skl(X1,sK1_skl,sK0_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ541_spl])],[split_symbol_definition]) ).
fof(f4948,plain,
( ~ sQ516_spl
| ~ sQ471_spl
| in(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK11_skl(sK1_skl,sK0_skl)) ),
inference(forward_demodulation,[status(thm)],[f4251,f4534]) ).
fof(f4949,plain,
! [X0] :
( ~ sQ516_spl
| ~ sQ471_spl
| sP0_prd(sK10_skl(sK1_skl,sK0_skl),sK9_skl(sK1_skl,sK0_skl),sK8_skl(sK1_skl,sK0_skl),sK1_skl)
| ~ ordinal(sK0_skl)
| sK8_skl(X0,sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)) = sK9_skl(X0,sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X0,sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))) = sK3_skl(sK11_skl(X0,sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)))
| sK2_skl(sK11_skl(X0,sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))),X0,sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)) ),
inference(resolution,[status(thm)],[f4948,f160]) ).
fof(f4950,plain,
( ~ sQ516_spl
| ~ sQ471_spl
| in(sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl),sK1_skl)
| sP0_prd(sK10_skl(sK1_skl,sK0_skl),sK9_skl(sK1_skl,sK0_skl),sK8_skl(sK1_skl,sK0_skl),sK1_skl)
| ~ ordinal(sK0_skl) ),
inference(resolution,[status(thm)],[f4948,f68]) ).
fof(f4954,plain,
( ~ sQ516_spl
| ~ sQ471_spl
| sQ459_spl
| ~ sQ6_spl
| sQ537_spl ),
inference(split_clause,[status(thm)],[f4949,f4716,f133,f4123,f4250,f4533]) ).
fof(f4955,plain,
( ~ sQ516_spl
| ~ sQ471_spl
| sQ526_spl
| sQ459_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f4950,f133,f4123,f4570,f4250,f4533]) ).
fof(f4974,plain,
( sQ516_spl
| sK2_skl(sK11_skl(sK1_skl,sK0_skl)) = sK3_skl(sK11_skl(sK1_skl,sK0_skl)) ),
inference(resolution,[status(thm)],[f4535,f23]) ).
fof(f4977,plain,
( sQ516_spl
| sQ471_spl ),
inference(split_clause,[status(thm)],[f4974,f4250,f4533]) ).
fof(f5000,definition,
! [X0,X1] :
( sQ542_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1))
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)),sK11_skl(sK1_skl,sK0_skl),X1)
| ~ ordinal(X1)
| sK8_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)) = sK9_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))) = sK3_skl(sK11_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)))
| sK2_skl(sK11_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))),X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ542_spl])],[split_symbol_definition]) ).
fof(f5023,definition,
! [X0,X1] :
( sQ543_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)),sK11_skl(sK1_skl,sK0_skl),X1) = sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1))
| ~ ordinal(X1)
| sK8_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)) = sK9_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))) = sK3_skl(sK11_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)))
| sK2_skl(sK11_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))),X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ543_spl])],[split_symbol_definition]) ).
fof(f5102,plain,
( ~ sQ459_spl
| sP0_prd(sK10_skl(sK1_skl,sK0_skl),sK10_skl(sK1_skl,sK0_skl),sK10_skl(sK1_skl,sK0_skl),sK1_skl) ),
inference(forward_demodulation,[status(thm)],[f4386,f4209]) ).
fof(f5103,plain,
( ~ sQ459_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5102,f85]) ).
fof(f5104,plain,
~ sQ459_spl,
inference(contradiction_clause,[status(thm)],[f5103]) ).
fof(f5154,plain,
( ~ sQ516_spl
| in(sK13_skl(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl),sK1_skl)
| sP0_prd(sK10_skl(sK1_skl,sK0_skl),sK9_skl(sK1_skl,sK0_skl),sK8_skl(sK1_skl,sK0_skl),sK1_skl)
| ~ ordinal(sK0_skl) ),
inference(resolution,[status(thm)],[f4534,f68]) ).
fof(f5155,plain,
( ~ sQ516_spl
| sK2_skl(sK11_skl(sK1_skl,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)
| sP0_prd(sK10_skl(sK1_skl,sK0_skl),sK9_skl(sK1_skl,sK0_skl),sK8_skl(sK1_skl,sK0_skl),sK1_skl)
| ~ ordinal(sK0_skl) ),
inference(resolution,[status(thm)],[f4534,f67]) ).
fof(f5156,plain,
( ~ sQ516_spl
| sK12_skl(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl) = sK2_skl(sK11_skl(sK1_skl,sK0_skl))
| sP0_prd(sK10_skl(sK1_skl,sK0_skl),sK9_skl(sK1_skl,sK0_skl),sK8_skl(sK1_skl,sK0_skl),sK1_skl)
| ~ ordinal(sK0_skl) ),
inference(resolution,[status(thm)],[f4534,f65]) ).
fof(f5160,plain,
( ~ sQ516_spl
| sQ540_spl
| sQ459_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f5154,f133,f4123,f4736,f4533]) ).
fof(f5161,plain,
( ~ sQ516_spl
| sQ497_spl
| sQ459_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f5155,f133,f4123,f4352,f4533]) ).
fof(f5162,plain,
( ~ sQ516_spl
| sQ470_spl
| sQ459_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f5156,f133,f4123,f4247,f4533]) ).
fof(f5170,plain,
( ~ sQ43_spl
| ~ sQ540_spl
| sK2_skl(sK11_skl(sK1_skl,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)
| in(sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl),sK1_skl) ),
inference(paramodulation,[status(thm)],[f422,f4737]) ).
fof(f5171,plain,
( ~ sQ43_spl
| ~ sQ540_spl
| sQ497_spl
| sQ526_spl ),
inference(split_clause,[status(thm)],[f5170,f4570,f4352,f4736,f413]) ).
fof(f5196,plain,
( ~ sQ470_spl
| in(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),succ(sK0_skl))
| ~ in(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK11_skl(sK1_skl,sK0_skl))
| sP0_prd(sK10_skl(sK1_skl,sK0_skl),sK9_skl(sK1_skl,sK0_skl),sK8_skl(sK1_skl,sK0_skl),sK1_skl)
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f4248,f64]) ).
fof(f5210,definition,
( sQ547_spl
<=> ordinal(sK2_skl(sK11_skl(sK1_skl,sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ547_spl])],[split_symbol_definition]) ).
fof(f5211,plain,
( ~ sQ547_spl
| ordinal(sK2_skl(sK11_skl(sK1_skl,sK0_skl))) ),
inference(component_clause,[status(thm)],[f5210]) ).
fof(f5218,plain,
( ~ sQ470_spl
| sQ517_spl
| ~ sQ516_spl
| sQ459_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f5196,f133,f4123,f4533,f4536,f4247]) ).
fof(f5229,plain,
( ~ sQ540_spl
| ~ sQ497_spl
| in(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl) ),
inference(backward_demodulation,[status(thm)],[f4353,f4737]) ).
fof(f5233,plain,
( ~ sQ497_spl
| sK2_skl(sK11_skl(sK1_skl,sK0_skl)) = sK3_skl(sK11_skl(sK1_skl,sK0_skl))
| in(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl)
| sP0_prd(sK10_skl(sK1_skl,sK0_skl),sK9_skl(sK1_skl,sK0_skl),sK8_skl(sK1_skl,sK0_skl),sK1_skl)
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f4353,f128]) ).
fof(f5234,plain,
( ~ sQ497_spl
| ordinal(sK2_skl(sK11_skl(sK1_skl,sK0_skl)))
| ~ in(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK11_skl(sK1_skl,sK0_skl))
| sP0_prd(sK10_skl(sK1_skl,sK0_skl),sK9_skl(sK1_skl,sK0_skl),sK8_skl(sK1_skl,sK0_skl),sK1_skl)
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f4353,f66]) ).
fof(f5244,plain,
( ~ sQ497_spl
| sQ471_spl
| sQ535_spl
| sQ459_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f5233,f133,f4123,f4612,f4250,f4352]) ).
fof(f5245,plain,
( ~ sQ497_spl
| sQ547_spl
| ~ sQ516_spl
| sQ459_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f5234,f133,f4123,f4533,f5210,f4352]) ).
fof(f5247,plain,
( ~ sQ547_spl
| ~ in(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl)
| ~ in(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),succ(sK0_skl))
| ~ in(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK11_skl(sK1_skl,sK0_skl)) ),
inference(resolution,[status(thm)],[f5211,f83]) ).
fof(f5263,plain,
( ~ sQ547_spl
| ~ sQ535_spl
| ~ sQ517_spl
| ~ sQ516_spl ),
inference(split_clause,[status(thm)],[f5247,f4533,f4536,f4612,f5210]) ).
fof(f5340,plain,
( sQ516_spl
| ~ sQ471_spl
| ~ in(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK11_skl(sK1_skl,sK0_skl)) ),
inference(backward_demodulation,[status(thm)],[f4251,f4535]) ).
fof(f5341,plain,
( ~ sQ540_spl
| ~ sQ497_spl
| ~ sQ471_spl
| in(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl) ),
inference(backward_demodulation,[status(thm)],[f4251,f5229]) ).
fof(f5343,plain,
( ~ sQ497_spl
| ~ sQ471_spl
| sK2_skl(sK11_skl(sK1_skl,sK0_skl)) = sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl) ),
inference(backward_demodulation,[status(thm)],[f4251,f4353]) ).
fof(f5374,plain,
( ~ sQ497_spl
| ~ sQ471_spl
| sK3_skl(sK11_skl(sK1_skl,sK0_skl)) = sK13_skl(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl) ),
inference(forward_demodulation,[status(thm)],[f4251,f5343]) ).
fof(f5469,plain,
! [X0,X1] :
( sQ459_spl
| in(sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)),sK11_skl(sK1_skl,sK0_skl),X1),sK1_skl,sK0_skl),sK1_skl)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1))
| ~ ordinal(X1)
| sK8_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl))) = sK9_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)))
| sK2_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)))) = sK3_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl))))
| sK2_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)))),X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl))) ),
inference(resolution,[status(thm)],[f4125,f573]) ).
fof(f5470,plain,
! [X0,X1] :
( sQ459_spl
| sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)),sK11_skl(sK1_skl,sK0_skl),X1) = sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)),sK11_skl(sK1_skl,sK0_skl),X1),sK1_skl,sK0_skl)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1))
| ~ ordinal(X1)
| sK8_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl))) = sK9_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)))
| sK2_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)))) = sK3_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl))))
| sK2_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)))),X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl))) ),
inference(resolution,[status(thm)],[f4125,f572]) ).
fof(f5471,plain,
! [X0,X1] :
( sQ459_spl
| sK12_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)),sK11_skl(sK1_skl,sK0_skl),X1),sK1_skl,sK0_skl) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)),sK11_skl(sK1_skl,sK0_skl),X1)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1))
| ~ ordinal(X1)
| sK8_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl))) = sK9_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)))
| sK2_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)))) = sK3_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl))))
| sK2_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)))),X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl))) ),
inference(resolution,[status(thm)],[f4125,f571]) ).
fof(f5473,plain,
! [X0,X1] :
( sQ459_spl
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)),sK11_skl(sK1_skl,sK0_skl),X1) = sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1))
| ~ ordinal(X1)
| ~ ordinal(sK0_skl)
| sK8_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)) = sK9_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))) = sK3_skl(sK11_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)))
| sK2_skl(sK11_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))),X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)) ),
inference(resolution,[status(thm)],[f4125,f568]) ).
fof(f5474,plain,
! [X0,X1] :
( sQ459_spl
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1))
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)),sK11_skl(sK1_skl,sK0_skl),X1)
| ~ ordinal(X1)
| ~ ordinal(sK0_skl)
| sK8_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)) = sK9_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))) = sK3_skl(sK11_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)))
| sK2_skl(sK11_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))),X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)) ),
inference(resolution,[status(thm)],[f4125,f567]) ).
fof(f5475,plain,
! [X0,X1] :
( sQ459_spl
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)),sK11_skl(sK1_skl,sK0_skl),X1) = sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1))
| ~ ordinal(X1)
| ~ ordinal(sK0_skl)
| sK8_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)) = sK9_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))) = sK3_skl(sK11_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)))
| sK2_skl(sK11_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))),X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)) ),
inference(resolution,[status(thm)],[f4125,f566]) ).
fof(f5476,plain,
! [X0,X1] :
( sQ459_spl
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1))
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)),sK11_skl(sK1_skl,sK0_skl),X1)
| ~ ordinal(X1)
| ~ ordinal(sK0_skl)
| sK8_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)) = sK9_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))) = sK3_skl(sK11_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)))
| sK2_skl(sK11_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))),X0,sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)) ),
inference(resolution,[status(thm)],[f4125,f565]) ).
fof(f5477,plain,
! [X0,X1] :
( sQ459_spl
| ~ in(X1,sK11_skl(sK1_skl,sK0_skl))
| ~ ordinal(sK0_skl)
| sK9_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)) = sK14_skl(sK10_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)),sK9_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)),sK8_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)),X0)
| sK2_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl))) = sK3_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)))
| sK2_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl))),X0,sK13_skl(X1,sK1_skl,sK0_skl)) ),
inference(resolution,[status(thm)],[f4125,f551]) ).
fof(f5478,plain,
! [X0,X1] :
( sQ459_spl
| ~ in(X1,sK11_skl(sK1_skl,sK0_skl))
| ~ ordinal(sK0_skl)
| sK10_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)) = sK15_skl(sK10_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)),sK9_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)),sK8_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)),X0)
| sK2_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl))) = sK3_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)))
| sK2_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl))),X0,sK13_skl(X1,sK1_skl,sK0_skl)) ),
inference(resolution,[status(thm)],[f4125,f541]) ).
fof(f5479,plain,
! [X0] :
( sQ459_spl
| sK12_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl) = sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl))
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0)
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f4125,f539]) ).
fof(f5480,plain,
! [X0] :
( sQ459_spl
| sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)) = sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0)
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f4125,f538]) ).
fof(f5481,plain,
! [X0] :
( sQ459_spl
| sK12_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl) = sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl))
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0)
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f4125,f534]) ).
fof(f5482,plain,
! [X0] :
( sQ459_spl
| sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)) = sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0)
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f4125,f533]) ).
fof(f5483,plain,
! [X0,X1] :
( sQ459_spl
| ~ in(X1,sK11_skl(sK1_skl,sK0_skl))
| ~ ordinal(sK0_skl)
| sK9_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)) = sK14_skl(sK10_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)),sK9_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)),sK8_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)),X0)
| sK2_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl))) = sK3_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)))
| sK12_skl(sK2_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl))),X0,sK13_skl(X1,sK1_skl,sK0_skl)) = sK2_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl))) ),
inference(resolution,[status(thm)],[f4125,f521]) ).
fof(f5484,plain,
! [X0,X1] :
( sQ459_spl
| ~ in(X1,sK11_skl(sK1_skl,sK0_skl))
| ~ ordinal(sK0_skl)
| sK10_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)) = sK15_skl(sK10_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)),sK9_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)),sK8_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)),X0)
| sK2_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl))) = sK3_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl)))
| sK12_skl(sK2_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl))),X0,sK13_skl(X1,sK1_skl,sK0_skl)) = sK2_skl(sK11_skl(X0,sK13_skl(X1,sK1_skl,sK0_skl))) ),
inference(resolution,[status(thm)],[f4125,f511]) ).
fof(f5485,plain,
! [X0] :
( sQ459_spl
| sK12_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl) = sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl))
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0) = sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f4125,f509]) ).
fof(f5486,plain,
! [X0] :
( sQ459_spl
| sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)) = sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0) = sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f4125,f508]) ).
fof(f5487,plain,
! [X0] :
( sQ459_spl
| in(sK13_skl(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl),sK1_skl)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0) = sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f4125,f507]) ).
fof(f5488,plain,
! [X0] :
( sQ459_spl
| sK12_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl) = sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl))
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0) = sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f4125,f476]) ).
fof(f5489,plain,
! [X0] :
( sQ459_spl
| sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)) = sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0) = sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f4125,f475]) ).
fof(f5490,plain,
! [X0] :
( sQ459_spl
| sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0) = sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0)
| sK12_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0),sK1_skl,sK0_skl) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f4125,f466]) ).
fof(f5491,plain,
! [X0] :
( sQ459_spl
| sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0) = sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0)
| sK12_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0),sK1_skl,sK0_skl) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f4125,f465]) ).
fof(f5492,plain,
! [X0] :
( sQ459_spl
| sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0) = sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl))
| sK12_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0),sK1_skl,sK0_skl) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f4125,f464]) ).
fof(f5493,plain,
! [X0] :
( sQ459_spl
| sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0) = sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl))
| sK12_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0),sK1_skl,sK0_skl) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f4125,f463]) ).
fof(f5494,plain,
! [X0] :
( sQ459_spl
| in(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)),sK11_skl(sK1_skl,sK0_skl))
| sK12_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0),sK1_skl,sK0_skl) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f4125,f462]) ).
fof(f5495,plain,
! [X0] :
( sQ459_spl
| sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0) = sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0)
| sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0) = sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0),sK1_skl,sK0_skl)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f4125,f460]) ).
fof(f5496,plain,
! [X0] :
( sQ459_spl
| sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0) = sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0)
| sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0) = sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0),sK1_skl,sK0_skl)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f4125,f459]) ).
fof(f5497,plain,
! [X0] :
( sQ459_spl
| sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0) = sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl))
| sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0) = sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0),sK1_skl,sK0_skl)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f4125,f458]) ).
fof(f5498,plain,
! [X0] :
( sQ459_spl
| sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0) = sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl))
| sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0) = sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0),sK1_skl,sK0_skl)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f4125,f457]) ).
fof(f5499,plain,
! [X0] :
( sQ459_spl
| in(sK14_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0),sK11_skl(sK1_skl,sK0_skl)),sK11_skl(sK1_skl,sK0_skl))
| sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0) = sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0),sK1_skl,sK0_skl)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f4125,f456]) ).
fof(f5500,plain,
! [X0] :
( sQ459_spl
| sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0) = sK9_skl(sK11_skl(sK1_skl,sK0_skl),X0)
| in(sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0),sK1_skl,sK0_skl),sK1_skl)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f4125,f454]) ).
fof(f5501,plain,
! [X0] :
( sQ459_spl
| sK8_skl(sK11_skl(sK1_skl,sK0_skl),X0) = sK10_skl(sK11_skl(sK1_skl,sK0_skl),X0)
| in(sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)),sK11_skl(sK1_skl,sK0_skl),X0),sK1_skl,sK0_skl),sK1_skl)
| ~ ordinal(sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X0))
| ~ ordinal(X0) ),
inference(resolution,[status(thm)],[f4125,f453]) ).
fof(f5502,plain,
( sQ459_spl
| sK2_skl(sK11_skl(sK1_skl,sK0_skl)) = sK3_skl(sK11_skl(sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(sK1_skl,sK0_skl)) = sK13_skl(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)
| ~ ordinal(sK0_skl) ),
inference(resolution,[status(thm)],[f4125,f127]) ).
fof(f5503,plain,
( sQ459_spl
| sK2_skl(sK11_skl(sK1_skl,sK0_skl)) = sK3_skl(sK11_skl(sK1_skl,sK0_skl))
| sK12_skl(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl) = sK2_skl(sK11_skl(sK1_skl,sK0_skl))
| ~ ordinal(sK0_skl) ),
inference(resolution,[status(thm)],[f4125,f126]) ).
fof(f5504,definition,
! [X0,X1] :
( sQ553_spl
<=> ( in(sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)),sK11_skl(sK1_skl,sK0_skl),X1),sK1_skl,sK0_skl),sK1_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1))
| ~ ordinal(X1)
| sK8_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl))) = sK9_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)))
| sK2_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)))) = sK3_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl))))
| sK2_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)))),X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ553_spl])],[split_symbol_definition]) ).
fof(f5507,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ553_spl ),
inference(split_clause,[status(thm)],[f5469,f5504,f133,f4123]) ).
fof(f5508,definition,
! [X0,X1] :
( sQ554_spl
<=> ( sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)),sK11_skl(sK1_skl,sK0_skl),X1) = sK13_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)),sK11_skl(sK1_skl,sK0_skl),X1),sK1_skl,sK0_skl)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1))
| ~ ordinal(X1)
| sK8_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl))) = sK9_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)))
| sK2_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)))) = sK3_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl))))
| sK2_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)))),X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ554_spl])],[split_symbol_definition]) ).
fof(f5511,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ554_spl ),
inference(split_clause,[status(thm)],[f5470,f5508,f133,f4123]) ).
fof(f5512,definition,
! [X0,X1] :
( sQ555_spl
<=> ( sK12_skl(sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)),sK11_skl(sK1_skl,sK0_skl),X1),sK1_skl,sK0_skl) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)),sK11_skl(sK1_skl,sK0_skl),X1)
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1))
| ~ ordinal(X1)
| sK8_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl))) = sK9_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)))
| sK2_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)))) = sK3_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl))))
| sK2_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)))),X0,sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ555_spl])],[split_symbol_definition]) ).
fof(f5515,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ555_spl ),
inference(split_clause,[status(thm)],[f5471,f5512,f133,f4123]) ).
fof(f5517,definition,
! [X0,X1] :
( sQ556_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1))
| sK12_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)),sK11_skl(sK1_skl,sK0_skl),X1) = sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1))
| ~ ordinal(X1)
| sK8_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)) = sK9_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))) = sK3_skl(sK11_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)))
| sK2_skl(sK11_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))),X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ556_spl])],[split_symbol_definition]) ).
fof(f5520,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ556_spl ),
inference(split_clause,[status(thm)],[f5473,f5517,f133,f4123]) ).
fof(f5521,definition,
! [X0,X1] :
( sQ557_spl
<=> ( sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)) = sK3_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1))
| sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)) = sK13_skl(sK2_skl(sK11_skl(sK11_skl(sK1_skl,sK0_skl),X1)),sK11_skl(sK1_skl,sK0_skl),X1)
| ~ ordinal(X1)
| sK8_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)) = sK9_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))
| sK2_skl(sK11_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))) = sK3_skl(sK11_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)))
| sK2_skl(sK11_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))) = sK13_skl(sK2_skl(sK11_skl(X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl))),X0,sK13_skl(sK15_skl(sK10_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK9_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK8_skl(sK11_skl(sK1_skl,sK0_skl),X1),sK11_skl(sK1_skl,sK0_skl)),sK1_skl,sK0_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ557_spl])],[split_symbol_definition]) ).
fof(f5524,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ557_spl ),
inference(split_clause,[status(thm)],[f5474,f5521,f133,f4123]) ).
fof(f5525,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ543_spl ),
inference(split_clause,[status(thm)],[f5475,f5023,f133,f4123]) ).
fof(f5526,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ542_spl ),
inference(split_clause,[status(thm)],[f5476,f5000,f133,f4123]) ).
fof(f5527,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ541_spl ),
inference(split_clause,[status(thm)],[f5477,f4801,f133,f4123]) ).
fof(f5528,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ536_spl ),
inference(split_clause,[status(thm)],[f5478,f4649,f133,f4123]) ).
fof(f5529,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ473_spl ),
inference(split_clause,[status(thm)],[f5479,f4257,f133,f4123]) ).
fof(f5530,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ475_spl ),
inference(split_clause,[status(thm)],[f5480,f4264,f133,f4123]) ).
fof(f5531,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ476_spl ),
inference(split_clause,[status(thm)],[f5481,f4268,f133,f4123]) ).
fof(f5532,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ477_spl ),
inference(split_clause,[status(thm)],[f5482,f4272,f133,f4123]) ).
fof(f5533,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ478_spl ),
inference(split_clause,[status(thm)],[f5483,f4276,f133,f4123]) ).
fof(f5534,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ479_spl ),
inference(split_clause,[status(thm)],[f5484,f4280,f133,f4123]) ).
fof(f5535,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f5485,f4284,f133,f4123]) ).
fof(f5536,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ481_spl ),
inference(split_clause,[status(thm)],[f5486,f4288,f133,f4123]) ).
fof(f5537,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ482_spl ),
inference(split_clause,[status(thm)],[f5487,f4292,f133,f4123]) ).
fof(f5538,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ483_spl ),
inference(split_clause,[status(thm)],[f5488,f4296,f133,f4123]) ).
fof(f5539,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ484_spl ),
inference(split_clause,[status(thm)],[f5489,f4300,f133,f4123]) ).
fof(f5540,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ485_spl ),
inference(split_clause,[status(thm)],[f5490,f4304,f133,f4123]) ).
fof(f5541,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ486_spl ),
inference(split_clause,[status(thm)],[f5491,f4308,f133,f4123]) ).
fof(f5542,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ487_spl ),
inference(split_clause,[status(thm)],[f5492,f4312,f133,f4123]) ).
fof(f5543,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ488_spl ),
inference(split_clause,[status(thm)],[f5493,f4316,f133,f4123]) ).
fof(f5544,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ489_spl ),
inference(split_clause,[status(thm)],[f5494,f4320,f133,f4123]) ).
fof(f5545,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ490_spl ),
inference(split_clause,[status(thm)],[f5495,f4324,f133,f4123]) ).
fof(f5546,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ491_spl ),
inference(split_clause,[status(thm)],[f5496,f4328,f133,f4123]) ).
fof(f5547,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ492_spl ),
inference(split_clause,[status(thm)],[f5497,f4332,f133,f4123]) ).
fof(f5548,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ493_spl ),
inference(split_clause,[status(thm)],[f5498,f4336,f133,f4123]) ).
fof(f5549,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ494_spl ),
inference(split_clause,[status(thm)],[f5499,f4340,f133,f4123]) ).
fof(f5550,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ495_spl ),
inference(split_clause,[status(thm)],[f5500,f4344,f133,f4123]) ).
fof(f5551,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ496_spl ),
inference(split_clause,[status(thm)],[f5501,f4348,f133,f4123]) ).
fof(f5552,plain,
( sQ459_spl
| sQ471_spl
| sQ497_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f5502,f133,f4352,f4250,f4123]) ).
fof(f5553,plain,
( sQ459_spl
| sQ471_spl
| sQ470_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f5503,f133,f4247,f4250,f4123]) ).
fof(f5575,plain,
( ~ sQ516_spl
| ~ sQ471_spl
| in(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK11_skl(sK1_skl,sK0_skl)) ),
inference(forward_demodulation,[status(thm)],[f4251,f4534]) ).
fof(f5576,plain,
( ~ sQ516_spl
| ~ sQ471_spl
| sQ515_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5575,f4531]) ).
fof(f5577,plain,
( ~ sQ516_spl
| ~ sQ471_spl
| sQ515_spl ),
inference(contradiction_clause,[status(thm)],[f5576]) ).
fof(f5578,plain,
! [X0,X1] :
( sQ459_spl
| ~ in(X1,sK11_skl(sK1_skl,sK0_skl))
| ~ ordinal(sK0_skl)
| sK8_skl(X0,succ(sK13_skl(X1,sK1_skl,sK0_skl))) = sK9_skl(X0,succ(sK13_skl(X1,sK1_skl,sK0_skl)))
| sK2_skl(sK11_skl(X0,succ(sK13_skl(X1,sK1_skl,sK0_skl)))) = sK3_skl(sK11_skl(X0,succ(sK13_skl(X1,sK1_skl,sK0_skl))))
| sK2_skl(sK11_skl(X0,succ(sK13_skl(X1,sK1_skl,sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK13_skl(X1,sK1_skl,sK0_skl)))),X0,succ(sK13_skl(X1,sK1_skl,sK0_skl))) ),
inference(resolution,[status(thm)],[f576,f4125]) ).
fof(f5595,definition,
! [X0,X1] :
( sQ559_spl
<=> ( ~ in(X1,sK11_skl(sK1_skl,sK0_skl))
| sK8_skl(X0,succ(sK13_skl(X1,sK1_skl,sK0_skl))) = sK9_skl(X0,succ(sK13_skl(X1,sK1_skl,sK0_skl)))
| sK2_skl(sK11_skl(X0,succ(sK13_skl(X1,sK1_skl,sK0_skl)))) = sK3_skl(sK11_skl(X0,succ(sK13_skl(X1,sK1_skl,sK0_skl))))
| sK2_skl(sK11_skl(X0,succ(sK13_skl(X1,sK1_skl,sK0_skl)))) = sK13_skl(sK2_skl(sK11_skl(X0,succ(sK13_skl(X1,sK1_skl,sK0_skl)))),X0,succ(sK13_skl(X1,sK1_skl,sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ559_spl])],[split_symbol_definition]) ).
fof(f5598,plain,
( sQ459_spl
| ~ sQ6_spl
| sQ559_spl ),
inference(split_clause,[status(thm)],[f5578,f5595,f133,f4123]) ).
fof(f5606,plain,
( ~ sQ497_spl
| ~ sQ471_spl
| ordinal(sK3_skl(sK11_skl(sK1_skl,sK0_skl)))
| ~ in(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK11_skl(sK1_skl,sK0_skl))
| sP0_prd(sK10_skl(sK1_skl,sK0_skl),sK9_skl(sK1_skl,sK0_skl),sK8_skl(sK1_skl,sK0_skl),sK1_skl)
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f5374,f66]) ).
fof(f5610,plain,
( ~ sQ497_spl
| ~ sQ471_spl
| sQ518_spl
| ~ sQ515_spl
| sQ459_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f5606,f133,f4123,f4529,f4539,f4250,f4352]) ).
fof(f5740,plain,
( sQ535_spl
| ~ sQ471_spl
| ~ in(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK1_skl) ),
inference(forward_demodulation,[status(thm)],[f4251,f4614]) ).
fof(f5741,plain,
( sQ535_spl
| ~ sQ471_spl
| ~ sQ540_spl
| ~ sQ497_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5740,f5341]) ).
fof(f5742,plain,
( sQ535_spl
| ~ sQ471_spl
| ~ sQ540_spl
| ~ sQ497_spl ),
inference(contradiction_clause,[status(thm)],[f5741]) ).
fof(f5815,plain,
( ~ sQ538_spl
| ~ in(succ(sK0_skl),sK3_skl(sK11_skl(sK1_skl,sK0_skl)))
| ~ in(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK11_skl(sK1_skl,sK0_skl))
| sP0_prd(sK10_skl(sK1_skl,sK0_skl),sK9_skl(sK1_skl,sK0_skl),sK8_skl(sK1_skl,sK0_skl),sK1_skl)
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f4723,f125]) ).
fof(f5816,plain,
( ~ sQ538_spl
| in(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),succ(sK0_skl))
| ~ in(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK11_skl(sK1_skl,sK0_skl))
| sP0_prd(sK10_skl(sK1_skl,sK0_skl),sK9_skl(sK1_skl,sK0_skl),sK8_skl(sK1_skl,sK0_skl),sK1_skl)
| ~ ordinal(sK0_skl) ),
inference(paramodulation,[status(thm)],[f4723,f64]) ).
fof(f5819,plain,
( ~ sQ538_spl
| ~ sQ522_spl
| ~ sQ515_spl
| sQ459_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f5815,f133,f4123,f4529,f4553,f4722]) ).
fof(f5820,plain,
( ~ sQ538_spl
| sQ520_spl
| ~ sQ515_spl
| sQ459_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f5816,f133,f4123,f4529,f4546,f4722]) ).
fof(f5868,plain,
! [X0] :
( ~ sQ514_spl
| ~ sQ471_spl
| ~ in(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),X0)
| in(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(forward_demodulation,[status(thm)],[f4251,f4527]) ).
fof(f5869,plain,
! [X0] :
( ~ sQ514_spl
| ~ sQ471_spl
| ~ in(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),X0)
| in(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK11_skl(X0,sK0_skl))
| sP0_prd(sK10_skl(X0,sK0_skl),sK9_skl(X0,sK0_skl),sK8_skl(X0,sK0_skl),X0) ),
inference(forward_demodulation,[status(thm)],[f4251,f5868]) ).
fof(f5873,plain,
( ~ sQ514_spl
| ~ sQ471_spl
| in(sK2_skl(sK11_skl(sK1_skl,sK0_skl)),sK11_skl(sK1_skl,sK0_skl))
| in(sK3_skl(sK11_skl(sK1_skl,sK0_skl)),sK11_skl(sK1_skl,sK0_skl))
| sP0_prd(sK10_skl(sK1_skl,sK0_skl),sK9_skl(sK1_skl,sK0_skl),sK8_skl(sK1_skl,sK0_skl),sK1_skl) ),
inference(resolution,[status(thm)],[f5869,f24]) ).
fof(f5880,plain,
( ~ sQ514_spl
| ~ sQ471_spl
| sQ516_spl
| sQ515_spl
| sQ459_spl ),
inference(split_clause,[status(thm)],[f5873,f4123,f4529,f4533,f4250,f4526]) ).
fof(f5890,plain,
( ~ sQ515_spl
| sQ516_spl
| ~ sQ471_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4530,f5340]) ).
fof(f5891,plain,
( ~ sQ515_spl
| sQ516_spl
| ~ sQ471_spl ),
inference(contradiction_clause,[status(thm)],[f5890]) ).
fof(f5893,plain,
( sQ518_spl
| sQ516_spl ),
inference(split_clause,[status(thm)],[f4633,f4533,f4539]) ).
fof(f5895,plain,
$false,
inference(sat_refutation,[status(thm)],[f96,f104,f107,f109,f119,f122,f139,f141,f180,f184,f188,f192,f196,f209,f213,f217,f221,f225,f238,f242,f246,f250,f254,f267,f271,f275,f279,f283,f293,f297,f314,f318,f328,f336,f340,f359,f363,f367,f376,f380,f399,f403,f407,f416,f420,f439,f443,f447,f483,f490,f497,f504,f605,f609,f613,f617,f638,f642,f646,f650,f659,f663,f667,f671,f684,f688,f692,f696,f709,f713,f717,f721,f734,f738,f742,f746,f765,f769,f773,f777,f796,f800,f804,f808,f856,f860,f864,f868,f914,f918,f922,f926,f931,f962,f966,f970,f974,f979,f1026,f1030,f1034,f1038,f1043,f1074,f1078,f1082,f1086,f1090,f1178,f1188,f1198,f1208,f1388,f1392,f1396,f1400,f1404,f1408,f1412,f1416,f1434,f1438,f1442,f1446,f1450,f1454,f1458,f1462,f1480,f1484,f1488,f1492,f1496,f1500,f1504,f1508,f1530,f1534,f1538,f1542,f1546,f1550,f1554,f1558,f1574,f1578,f1582,f1586,f1590,f1594,f1598,f1602,f1614,f1618,f1622,f1626,f1630,f1634,f1638,f1642,f1654,f1658,f1662,f1666,f1670,f1674,f1678,f1682,f1698,f1702,f1706,f1710,f1714,f1718,f1722,f1726,f1870,f1874,f1878,f1882,f1886,f1890,f1894,f1898,f1902,f1906,f1910,f1914,f1918,f1922,f1937,f1941,f1945,f1949,f2011,f2015,f2019,f2023,f2027,f2031,f2035,f2039,f2043,f2047,f2051,f2055,f2059,f2063,f2117,f2121,f2125,f2129,f2133,f2137,f2141,f2145,f2149,f2153,f2157,f2161,f2165,f2169,f2223,f2227,f2231,f2235,f2239,f2243,f2247,f2251,f2255,f2259,f2263,f2267,f2271,f2275,f2370,f2400,f2407,f2414,f2455,f2459,f2463,f2467,f2471,f2475,f2479,f2483,f2487,f2491,f2496,f2500,f2543,f2547,f2551,f2555,f2559,f2563,f2567,f2571,f2575,f2579,f2584,f2588,f2666,f2670,f2674,f2678,f2682,f2686,f2690,f2694,f2698,f2702,f2706,f2710,f2757,f2761,f2765,f2769,f2773,f2777,f2781,f2785,f2789,f2793,f2797,f2801,f2842,f2846,f2850,f2854,f2858,f2862,f2866,f2870,f2874,f2878,f2883,f2887,f2930,f2934,f2938,f2942,f2946,f2950,f2954,f2958,f2962,f2966,f2971,f2975,f3020,f3024,f3028,f3032,f3036,f3040,f3044,f3048,f3052,f3056,f3060,f3064,f3111,f3115,f3119,f3123,f3127,f3131,f3135,f3139,f3143,f3147,f3151,f3155,f3196,f3200,f3204,f3208,f3212,f3216,f3220,f3224,f3228,f3232,f3237,f3241,f3284,f3288,f3292,f3296,f3300,f3304,f3308,f3312,f3316,f3320,f3325,f3329,f3374,f3378,f3382,f3386,f3390,f3394,f3398,f3402,f3406,f3410,f3414,f3418,f3465,f3469,f3473,f3477,f3481,f3485,f3489,f3493,f3497,f3501,f3505,f3509,f3550,f3554,f3558,f3562,f3566,f3570,f3574,f3578,f3582,f3586,f3591,f3595,f3638,f3642,f3646,f3650,f3654,f3658,f3662,f3666,f3670,f3674,f3679,f3683,f3779,f3783,f3787,f3791,f3795,f3799,f3803,f3807,f3811,f3815,f3819,f3823,f3870,f3874,f3878,f3882,f3886,f3890,f3894,f3898,f3902,f3906,f3910,f3914,f3955,f3959,f3963,f3967,f3979,f3983,f3987,f3991,f4004,f4008,f4012,f4016,f4034,f4038,f4042,f4046,f4072,f4076,f4080,f4084,f4096,f4100,f4104,f4108,f4119,f4126,f4138,f4142,f4146,f4150,f4179,f4183,f4187,f4191,f4195,f4564,f4611,f4616,f4719,f4720,f4721,f4725,f4954,f4955,f4977,f5104,f5160,f5161,f5162,f5171,f5218,f5244,f5245,f5263,f5507,f5511,f5515,f5520,f5524,f5525,f5526,f5527,f5528,f5529,f5530,f5531,f5532,f5533,f5534,f5535,f5536,f5537,f5538,f5539,f5540,f5541,f5542,f5543,f5544,f5545,f5546,f5547,f5548,f5549,f5550,f5551,f5552,f5553,f5577,f5598,f5610,f5742,f5819,f5820,f5880,f5891,f5893]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU272+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 06:08:16 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 25.99/3.79 % Refutation found
% 25.99/3.79 % SZS status Theorem for theBenchmark: Theorem is valid
% 25.99/3.79 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 14.37/3.88 % Elapsed time: 3.511293 seconds
% 14.37/3.88 % CPU time: 27.047578 seconds
% 14.37/3.88 % Total memory used: 308.447 MB
% 14.37/3.88 % Net memory used: 284.887 MB
%------------------------------------------------------------------------------